{"text":"Question: List the prime factors of 112089018.\nAnswer: 2, 3, 19, 73, 13469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1\/(-3) - 372\/18)*-2. What is the tens digit of (-6 + z\/6)*149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.1183 + 1.11. Round u to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-33)*(-499961)\/(-2114)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (24*g**2 + 95*g**2 - 37*g**2)*(7*g**3 - 15*g + 15*g).\nAnswer: 574*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1469\/216 or 8?\nAnswer: 1469\/216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (936\/(-16))\/((6\/3)\/((-12)\/3)). Solve 20*m - s = -19*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**3 + 2. Let q be g(0). Suppose 3 = -5*u + q*z - 1, 5*z + 23 = -4*u. Let j(y) = -7*y - 1. List the prime factors of j(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 1 s when three letters picked without replacement from {b: 4, o: 4, s: 1, q: 3, x: 1, t: 7}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100 = -197*u + 187*u. Solve 0*r - 5*r = u, -r = -2*l + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1496 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*f**5 + 880301*f**4 - 84*f**2 - 396040*f wrt f?\nAnswer: 120*f**2 + 21127224*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 50724 (base 9) to base 5.\nAnswer: 2032034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4258 - -4253. Which is the closest to 3?  (a) -65  (b) -0.1  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -82 - 11?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-563958)\/194)\/171*10\/(-306)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.41 - -0.01. Let w(o) = -2*o**3 + o**2 - o. Suppose 0*n - 5 = -5*n. Let u be w(n). Which is the third smallest value?  (a) -5  (b) u  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**3 - 6*s**2 + 6*s. Let d(l) = 6*l**2 - 2*l + 1. Let k be d(1). Determine n(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**3 - 19*n**2 - n + 21. What is l(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 399 + (1\/(-2)*-2)\/(-1). Suppose r - t = -3*a, -8*a + 3*a = -r - 658. What are the prime factors of a?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5368*o*v**3 + o*v**2 + 102959*o*v - 12*v**3 wrt v.\nAnswer: -32208*o - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 135911278255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 419 - 367 = 13*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5473*n - 5464*n - 39510. What are the prime factors of n?\nAnswer: 2, 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 686 and 26389734?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3*-0.0197.\nAnswer: 0.00591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**1\/n)\/(n\/(n\/((n**12\/n)\/n))))\/((n\/(n**(-1\/18)*n))\/(n*n*n**(-1\/2)*n*n*n)) assuming n is positive.\nAnswer: n**(-50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2 + 5\/2)*-2. Let x be -3 + (0 - g) - -16. Suppose 2*f + 5*u + 15 = 3*f, -3*f + 5*u = -85. What is the highest common divisor of x and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/11*(10 - 155\/15)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**3 - z - 5. Let y be c(0). Calculate the remainder when (0 + y)*(4 + -5) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/523633 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3026597 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -19*w**3 + 4*w**2 - 4*w + 4. Let x(g) = 38*g**3 - 8*g**2 + 7*g - 7. Let y(h) = 7*v(h) + 4*x(h). Find the third derivative of y(j) wrt j.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 2*a. Let m(o) be the third derivative of o**4\/24 - 273*o**2. Calculate -7*m(s) + 6*r(s).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i. Let l(r) be the second derivative of 7*r**4\/12 - 5*r**2 + 43*r + 1. Let w(g) be the first derivative of l(g). Give w(t(n)).\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/(18\/20)*(37 - 38)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*t**3 - 3*t**3 - 5*t**3)*(-t**2 + 9*t**2 - t**2) - t**5 + 23*t**5 + 2*t**5.\nAnswer: -11*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*x - 3*x + 95 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/8 - 12\/96)\/(31\/(-6))\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes after 7:29 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(19) - sqrt(171)\/(sqrt(9)*2)))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 11 - d8?\nAnswer: -c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 562174316 to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 56*w**3 + 55*w**3 - 17 + 10 + 10 - 99*w**3 as o*w**3 + n + l*w + x*w**2 and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(600) + (sqrt(600)*5*-4 + sqrt(600) - sqrt(600)) + sqrt(600))\/((1*sqrt(84)*2)\/sqrt(7)).\nAnswer: -45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4453 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 10\/(-8) - 6\/(-24). Let x(h) = -h - 6. Let a be x(-9). Let p be 35\/15 + n\/a. Solve 14 = 4*j + p*d, -j - 5*d - 4 = -2*d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i = -37*d - 43 - 31, 0 = 2*d + i - 3*i - 2*i + 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 40, 160, 380, 724, 1216, 1880, 2740, 3820?\n\"Answer: 4*t**3 + 26*t**2 + 14*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -10983 at least -10984?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7470*i - 3269 = -645689 for i.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 272 = -48*v + 82*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -89\/840 - 2\/105. What is the second biggest value in 1\/5, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -1 + 2 - 20*m + 10*m. Let h(u) be the second derivative of -3*u**3\/2 + u**2\/2 - 188*u + 1. Calculate 5*b(j) - 6*h(j).\nAnswer: 4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(112)\/(sqrt(256)\/sqrt(2)))\/((1*sqrt(21)*4)\/sqrt(3)))**2.\nAnswer: -5*sqrt(2)\/8 + 3201\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the first derivative of 182*n**5\/5 + 322*n - 175. What is the derivative of k(q) wrt q?\nAnswer: 728*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**2 - 10*g - 4. Let l(h) = -4*h**2 + 30*h + 11. Let i(c) = -2*l(c) - 7*z(c). What are the prime factors of i(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -4, 33684.\nAnswer: -4, -3, 33684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = 17 - 1. Suppose -f + 30 = j, -136 = -2*j - 2*j + a*f. Suppose w = -w + 96. What is the greatest common divisor of j and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1.2 and 32.\nAnswer: 33.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(432) + -5 - (-1 + sqrt(3) + 5 + sqrt(3)*2*3))*2)**2.\nAnswer: -360*sqrt(3) + 624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 - 3*v)*(4 - 2 - 3) - v + v - 2*v + (-1 + 2 + 0)*(-7*v + 8*v + 0*v) - 3*v + 2*v + 5*v as n + s*v and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (5\/(50\/12))\/(-2). Let u = -6662.012 - -6651. Let m = -0.012 - u. What is the nearest to m in f, -5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-1*(-24)\/(-136))\/(-6) and 35\/18?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 4*z = 3 - 21, 0 = -5*j + 2*z + 2. Suppose -3*v + 2 = 5*c, -3*v + j*c + 9 = -28. What is the greatest common divisor of v and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24\/67 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -7*s + 37. Let l be v(5). Suppose -2 - 4 = -3*c. Calculate the greatest common factor of c and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 2*r**2. Let t(k) = k. Let f(l) be the second derivative of -l**3 + 9*l. Let y(v) = 5*f(v) + 24*t(v). Give y(q(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 - 28. Let x be ((-6)\/(-15)*12)\/((-2)\/15). Let l = x - r. What is l rounded to 0 dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes before 5:15 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j\/(j\/(j\/(j*j\/(j*j**(-2\/3)\/j))))*j)**(3\/10))**(-41)\/(j**(-1\/2)\/(j\/(j\/j**(-2\/5))))**(-37) assuming j is positive.\nAnswer: j**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0004427 to 5 decimal places.\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(-3) - 62\/84. Is 1 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -70 - -70.43. Let c = b + -0.03. What is the second smallest value in -1\/3, -3, c?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -45, 3, -25, 1 in decreasing order.\nAnswer: 3, 1, -25, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-26 - -1)\/(-3 - (-3 - -1)). Suppose 10 = -0*t + t. What is the greatest common divisor of t and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1348308 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 9456 divided by 3\nAnswer: 3152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/5 or -11183?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*r**3 + 81*r**3 - 35*r**3.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fmffllffljjllflxf. What is prob of picking 1 l, 1 j, and 1 f?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**2 + 4*d - 1. Let n be i(4). Let b = 1.7 + 0.3. Let a = -3 + b. What is the closest to n in a, 1\/3, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 261.869 - 262. Let f = u - -0.131. Let i = -2 + 2. Is f smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ooootoooootttttoooo. Give prob of sequence oto.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -5*m + 13. Let i be x(-3). Suppose -8 = 10*j - i. Suppose -15 = 5*l, -v + 3*l - j*l = -170. Is v a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o + 7*o + 48 = 0. Let s = 90 + o. Suppose s = 2*y + t + 8, 5*y = 2*t + 67. Calculate the lowest common multiple of y and 21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-280)\/(-630) + (-1648)\/(-18). Let w(h) = -23*h - 3. Let a(q) = -713*q - 92. Give d*w(b) - 3*a(b).\nAnswer: 23*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -5*b**3 - 2*b**2 - 3*b - 1. Let w be f(-1). Let q(p) = 3*p - 11. Let l be q(5). Differentiate -w - 10*j**l - 43*j + 43*j wrt j.\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fp when two letters picked without replacement from {f: 1, n: 1, y: 1, p: 2, m: 1, z: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/(-2 + 9\/6). Let h be 1\/m*(-4)\/7. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iiiq when four letters picked without replacement from qieieei.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 185, -83, 160 in descending order.\nAnswer: 185, 160, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -m - 2. Does 8 divide -1 + 27 - (-2 - m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0 - 3\/((-15)\/7790). Suppose n + 2*j - 390 = 3*j, -2*j - s = -4*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1066\/3189 + -1\/1063. What is the fourth biggest value in 4, 3\/47, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.8 + 0.3. Let i = -110876 + 110876. Which is the second biggest value?  (a) 1  (b) i  (c) n  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-3*-3*sqrt(171))\/(sqrt(81)*1) + -1.\nAnswer: 1 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -337 - -82. Let u = 369 + w. List the prime factors of u.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*w + 22*w + w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 28.851 + -29. Let b = 0.051 - x. Put b, -2\/7, -3\/7 in increasing order.\nAnswer: -3\/7, -2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 - 3. Let q = 17.9 - 0.9. Let j = q + -17. What is the nearest to j in z, 5, 1\/13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-333)\/45)\/(11\/(-715)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -196 + -31?\nAnswer: -1c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z - 1. Let t be g(-4). Suppose 0*n + 27 = t*n. Calculate the highest common factor of 81 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pdp when three letters picked without replacement from dpppd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 9*d**2 - 4. Let o be u(3). Suppose -3*b - b + 5*f = -o, -15 = -b - 3*f. Calculate the remainder when 35 is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -267657 or -267637?\nAnswer: -267637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1614270 is divided by 88.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 3*t)*(0*t + 2*t - t)*(11*t**2 + 7*t - 7*t) - 6*t**4 + 0*t**4 + 0*t**4.\nAnswer: -39*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6270950 by 136325.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 26649 and 222838938.\nAnswer: 222838938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1367, -2824, -4281, -5738?\nAnswer: -7195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**3 + 18*m**2 + 16*m + 42. Give a(19).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3, -2, -41 in decreasing order.\nAnswer: 3, 1, -2, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 = -4*h + 26, -2*k + 18 = h. Calculate the greatest common factor of k and 3670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 173 + 1257?\nAnswer: 1441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1215)\/(-1701))\/(((-6930)\/(-12))\/(-11)).\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 173810 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -35 + 89. Let b(g) = 14 + 19 + 5*g - 5*g - g. What is the remainder when n is divided by b(19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-36)\/(-27))\/((-2)\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 - 11122231?\nAnswer: -11122232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (2 - 3) - -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*j**4*v + 7506484*j**2*v + 106264364*v wrt j?\nAnswer: -8*j**3*v + 15012968*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r**4 + 19912*r**3 - 60832*r**2 - 5282824*r - 14763684 = 0. Calculate r.\nAnswer: -4981, -13, -3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -24386, -24389, -24394, -24401, -24410, -24421?\n\"Answer: -z**2 - 24385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12 and 42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - d = 67, 2*g - 2*d - 7 = 31. Solve -u - 3*x = 3*u - g, 0 = -u - 3*x + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -2*g + 4. Let i = 139 - 146. Give z(i).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r - 3*y = 1, -5*r + 0*y = -4*y + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((-2 + sqrt(1700) + -1)**2 + -4).\nAnswer: -3410 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 339741 is divided by 282.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7002 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 74\/196953 and 11\/4.\nAnswer: 787812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -103 + 53. Let v = -3 - b. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes after 2:05 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 45 - 34. Suppose -5*j = -v*j + 6. Sort -4, 2, -3, j.\nAnswer: -4, -3, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2573171 (base 8) in base 4?\nAnswer: -2233121321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -58*(1\/3)\/(32\/19536). What is q rounded to the nearest one hundred?\nAnswer: -11800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 times 0.77?\nAnswer: 11.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p + 1917 = 245*p + 396*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a millennium in centuries?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -5*d - 3. Let c(i) = 8*i + 5. Give -5*c(r) - 7*g(r).\nAnswer: -5*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u - 5. Calculate w(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2999016901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*f**3 - f**3 - 6*f**3 - 10 + 10.\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -228*((-20)\/(-8))\/(-5). Suppose 0 = -3*n + 2*i + 112, 4*n - 3*i = n + h. Calculate the remainder when n is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 5*l + 27 = 0, -2*r + l = r + 2. Let d(i) = -i + 1. Let n(p) = -4*p + 6. Let s(c) = r*n(c) - 2*d(c). Give s(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 2*k = -8738, -4*s + 3*k = -21312 - 13670. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6*(-4)\/(-168))\/1\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 249 - 105. Suppose 0 = -4*j + a + 724. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i - 4*g = -8, -2*i + 4*i + g = 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 21, -3, 4, 13, -40 in ascending order.\nAnswer: -40, -3, 4, 13, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 856947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*a + 3126 = -50*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 21 - 119. Is -2 + (1 - u)*5\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tddtdtdd. What is prob of picking 4 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1028369 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 22 = -p - 6*c, 2*p = 2*c - 4. Suppose 77 - 26 = o + 3*t, -p*o + 103 = 5*t. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 221, 226, 233, 242?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2484402 and 361?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -164*i + 166*i + 4*k + 24 = 0, i + 16 = -3*k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**7\/z**4*(z\/((z*z*z**(1\/5))\/z)*z)**(-4) assuming z is positive.\nAnswer: z**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0, 1, 5, -45, 79.\nAnswer: -45, 0, 1, 2, 5, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 0.5  (b) 37  (c) -2  (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -190822 divided by 75.\nAnswer: -190822\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 3*d + 4 = d, 4*q + 5*d + 4 = 0. Let p(o) be the second derivative of -1\/20*o**5 + 1\/12*o**q + 0 - o**2 - 1\/6*o**3 - 7*o. Calculate p(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*f + 8*f + 615. Suppose f + 197 = 5*y. Suppose 16 = -4*h + 4*r + y, h + 5*r = 30. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j = -2, -5*j + 17 = -2609*y + 2614*y - 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (13 - 0) + -340 + 350 + -81\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 22\/5 + -191\/40. Let z = 0.38 + -0.4. Which is the nearest to z?  (a) 0.3  (b) g  (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-2 + 1 - 1)*(2 - f - 2) - 3 + 2*f + 3)*(4 - 13 - 9) as g + q*f and give q.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-48)*s)**(-37\/4))**13 assuming s is positive.\nAnswer: s**(22607\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/125 of a millimeter in micrometers?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 118 + -116. Let c = 2.8 + -4.8. Put -2\/13, -0.5, c, z in increasing order.\nAnswer: c, -0.5, -2\/13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**2 + 5*y - 4. Let a be h(3). Suppose z + a*z - 18 = 0. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 33*k - 28641 + 28476 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1918, -5, -3, -25, -1.\nAnswer: -1918, -25, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1705 is divided by 114.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (76 - 78)\/((-33320)\/5525 - 1*-6)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 0, 224, 3.2.\nAnswer: 0, 3.2, 9, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 803676 to the nearest integer?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10)\/(-14))\/(-1)*(-135)\/225.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (12 + (4210 - -9))\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18 times 169618\nAnswer: -3053124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-7 + (-45)\/(-6))*4\/(-3)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13 - -15. Suppose -120 = -14*m + a*m. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 - -2.9. Let w = 0.54 + -0.04. Let g = w + -0.6. Which is the nearest to g?  (a) o  (b) -2  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26233 - 26233 - c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 25321601863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 188*u**3 + 65*u**2 + 102604*u wrt u.\nAnswer: 1128*u + 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 153 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-63)\/42)\/(2\/(-4)). Solve 2*n - 10 = 0, -w*z + 0*z - 3*n + 21 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1a (base 15) in base 16?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(11) + 4 - (-5 + sqrt(11) + -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27707 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 45981647?\nAnswer: 45981647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 0*k + 4 = 0, 2*k = 2*h + 12. Let z be (2\/h*2)\/1. Which is bigger: z or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i + 5 = 2*p + 2*i, 2*i = -2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -14530.8633 + 1754863\nAnswer: 1740332.1367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84040 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 3*m + 2. Let p(q) = -16*q - 11. Let f(w) = -22*c(w) - 4*p(w). Determine f(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 * -10.054.\nAnswer: -2.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7655 - -13610. List the prime factors of d.\nAnswer: 3, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:11 AM and 3:01 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -19*k**2 + 969*k + 11. Let i be t(51). Sort 279, 3, i in descending order.\nAnswer: 279, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 29583 - 29581. Let g = -0.8 - -0.83. Let h = g + -3.03. What is the biggest value in h, y, 2\/13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.2  (b) -3\/7  (c) 8.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 594*s - 591*s - 37 = -4*k, 3*k - 5*s = 35. Solve -4*d + 4*a + 535 = 495, 2*a = -4*d + k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -36\/37, -5, 3 in descending order.\nAnswer: 3, -36\/37, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -874*r**3 - 1322*r**3 + 351*r**3.\nAnswer: -1845*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6 - -2)\/(-2) - 23918. Let i = a + 76962. Let u = 35954 + i. What is u rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*g**2 + g**2 + 6*g**2 + (-4*g + g + g)*(-g + 2 + 5*g - 5*g) in the form f*g**2 + m*g + q and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 119\/1206 and -151\/1206.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the first derivative of 0*k**5 + 0*k + 0*k**3 - 6*k**2 + 13 - 5\/6*k**6 + 0*k**4. Find the second derivative of v(r) wrt r.\nAnswer: -100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 16*c**2 - 11*c - 22. Let z(a) = 3*a**2 - 2*a - 4. Suppose 40 = -4*u - 48. Let k(i) = u*z(i) + 4*m(i). Let y(n) = -49*n. Give y(k(b)).\nAnswer: 98*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 261 = -2*t + 1025, 4*z + 764 = t. Which is smaller: 8 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 * -35749.\nAnswer: -178745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -3*k - 33. Let d be q(-12). Suppose -u + d*z + 19 = -8, -4*z + 55 = u. What are the prime factors of u?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 657\/(-48) + 3 - (-20268)\/3941*7\/3?\nAnswer: 21\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11 - 11. Suppose -5*o + 19 = -y + 5*y, x = -y + 5*o + 11. Let q be ((-68)\/(-32))\/((-1)\/(-8)). Which is smaller: q or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xpxppwxpwppwnrw. What is prob of picking 1 r and 2 p?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -54185*o - 270424. Calculate b(-5).\nAnswer: 501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put together -14589.997952 and 0.7.\nAnswer: -14589.297952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3\/(-9))\/(2\/(-90)). Suppose s*c - 1 = 14*c. Which is bigger: c or 1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**0)**(-6\/23)*y**18*y*y*y\/(y\/(y*y*y**(5\/6))*y*y) assuming y is positive.\nAnswer: y**(2839\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from {p: 1, f: 1, e: 1, r: 4, x: 1, y: 8}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4555, 12, 14, -3.\nAnswer: -3, 12, 14, 4555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6\/119)\/(-3) + (-20)\/35. Is 0 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -119.2496 to one decimal place.\nAnswer: -119.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -2*f - 2 - 4 + 45*f**2 + 7. Does 11 divide y(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9788, -0.6, -2, 0.5 in descending order.\nAnswer: 9788, 0.5, -0.6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 5*k + 3*t + 17, -4 = -4*k + 4*t. Let p = 2 + k. Suppose 40 = 4*z - 2*a, 2*a + p = -4. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10923929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1026 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -1*sqrt(2) - -1*(sqrt(2) + -1 + sqrt(2)).\nAnswer: -6 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1232 = 32*u + 61*u - 1000 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16 - 7. Suppose -3*l = -4*y - 5 - 8, 0 = 5*l - y - 50. Solve u + l = 5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*v**4 + 17 + 7402*v**2 + v - 7402*v**2 - 16 - 11*v**3 - 20*v**3 in the form d*v**4 + g*v**2 + h*v + w + m*v**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0021819 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/90*-3)\/(15810\/(-9486))?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -815, -822, -841, -878, -939, -1030?\n\"Answer: -d**3 - 814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 11 and 24\/3 + 2 - -8.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21\/718525 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r - 10. Let o(q) = q**2 - 5*q + 4. Let j be o(5). Put 2, r, j in descending order.\nAnswer: r, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 9 = -24. Let n be (1*-1)\/(2*1\/(-50)). Suppose 2*v - 2*h = 20, -v - v - 3*h = -n. What is the highest common factor of v and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 43\/6 - (-4 + 25\/6). Suppose 18 = k*x + 4. Let v(r) = 3*r - x + r - 3*r + 3. Determine v(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 14) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 764737.\nAnswer: 47, 53, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the first derivative of n**6\/15 + 4*n**5\/25 - n**4\/5 - 16*n**3\/15 - 7*n**2\/5 - 4*n\/5 + 1. Let h(y) = 0. What is y?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -149680 divided by 9355\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 24*a + 35. Suppose -24*r = -80*r + 19*r + 18*r. What is d(r)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the third derivative of a**7\/10 - a**6\/6 - 473*a**3\/6 - 712*a**2. What is the first derivative of z(t) wrt t?\nAnswer: 84*t**3 - 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 4*l = -12, 0*l - 6 = d - 4*l. Let t = -4 + 11. Let y(u) = u**2 - 6*u - 5. Let b be y(t). Solve 3*r = 4*x - 5*x + 1, b*r = d*x + 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6179520?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1 - (4 + 12 - -1). Let n = t + 0. Let q be (n\/(-24))\/((-1)\/(-8)). Solve q*a = 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000056229 rounded to seven decimal places?\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -205*t - 2550 = 2239 + 3841 - 1455 for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10101111 - 1011000?\nAnswer: -100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*z**2 - 2*z**2 - 3*z**2)*(-z + 3*z - 3*z) - 12*z**3 - 145*z**3 - 42*z**3 to l*z**2 + t*z + g*z**3 + h and give g.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 4*m**2 - 20. What is the lowest common multiple of h(-9) and 76?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**4 - 56*x**3 + 520*x**2 - 1254*x + 765. Let v(i) = -10*i**4 + 615*i**3 - 5720*i**2 + 13790*i - 8415. Let t(b) = 65*j(b) + 6*v(b). Factor t(q).\nAnswer: 5*(q - 3)**2*(q - 1)*(q + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 895*n**6 + 2*n**4 - 303*n**2.\nAnswer: 107400*n**3 + 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 2 + 1 - (1 - 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -9*u - 13. Let i(y) = 11*y + 10. Let l(j) = -2*j + 1. Let f(w) = i(w) + 2*l(w). Let m(n) = -6*f(n) - 5*p(n). What is m(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4410*-51497\nAnswer: -227101770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 124*g**2. Let r(b) = 2*b**2 - 8*b**2 + 3209*b + 9*b**2 - 3209*b. Determine h(r(l)).\nAnswer: 1116*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 8, x: 1, r: 2, o: 2, s: 1}. Give prob of picking 2 q and 1 r.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4909036825?\nAnswer: 5, 7, 11, 101, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 plus 0.785?\nAnswer: -4.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3\/5, 2\/7, -15, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**3 + 3*y**2 + 3. Let j be h(3). Suppose -3 = j*i - 4*i. Suppose i*b - 143 = -4*c, 3*c - 4*b + 180 = 8*c. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -177*r - 329917 = -184*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -69765*a - 69764*a + 2 + 139600*a.\nAnswer: 71*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.88470906 rounded to two decimal places?\nAnswer: 0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((sqrt(27) + 4*sqrt(27))\/sqrt(9) - (-4 + sqrt(3) + 0)) + -5.\nAnswer: 4 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c*c**(-18)*c\/(c**2*c*c)*(c\/((c*c*(c*c**8\/c*c)\/c)\/c))\/(c\/(c**1\/c)) assuming c is positive.\nAnswer: c**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -779, -803, -827?\nAnswer: -851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -3*m - 28. Let f be p(-17). Suppose -2*n - 157 + f = 0. Let d = -203\/3 - n. Which is the nearest to -1?  (a) d  (b) -3  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -29, -603, -2219, -5399, -10665, -18539?\n\"Answer: -87*w**3 + w**2 + 32*w + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (9 - (-6 + 7) - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -46857.3077 to the nearest integer.\nAnswer: -46857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**10\/v)\/v*v*v\/(v\/(v**16*v)*v)*v*v*v**14*v*v\/(v**(-5)\/v) assuming v is positive.\nAnswer: v**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**1)**(11\/6))**(-1\/20)\/((z\/z**(6\/11))\/z**7)**(-2\/11) assuming z is positive.\nAnswer: z**(-144\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**3 + 20*i**2 - 18*i - 14. Let t be (-8 - -1) + (9 - 113)\/(-4). What is a(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.2 + -0.2. Let i be 30\/18*(-20)\/(-150). What is the closest to v in i, -1.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1031979 + 11.\nAnswer: 1031990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*u + 19*u = 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**0)**(20\/3)*(c\/((c*c\/c**1)\/c))**3)\/(((c\/(c*c**(-2)\/c*c))\/(c\/((c*c**0\/c)\/c)))\/((c\/((c**(2\/11)*c)\/c))\/(c**(1\/4)*c))) assuming c is positive.\nAnswer: c**(113\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 36 and 9541890?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mk when two letters picked without replacement from kmm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 23*w**2 - w. Is g(-1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111101110001100 - 0?\nAnswer: -111101110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000005767603184 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-1*sqrt(384) - sqrt(384)) + 2*(sqrt(384) + (sqrt(384)*-2 - sqrt(384))))\/(((sqrt(12)*2)\/sqrt(4) - (sqrt(108) + sqrt(108)*1))*6).\nAnswer: 4*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**2 + 5*m + 2. Let b be s(5). Suppose 7*x = b*x - 10. What is the units digit of 1 + (-4 - x) + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**2 - l. Suppose h + k - 5 = 0, -5*h + 0*k = k - 17. Let f be x(h). What are the prime factors of ((-34)\/4)\/(3\/f)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 62 divide 683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*i - 73 - 1437 = -214 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*t - 5*t - t + (5 + 1 - 4)*(-t + 0 + 0) + 11*t + 38*t - 14*t - 123*t + 2 + 127*t - 4.\nAnswer: 35*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3\/4 or 31369405?\nAnswer: 31369405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 127, 717, 1715, 3127, 4959, 7217, 9907?\n\"Answer: k**3 + 198*k**2 - 11*k - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 93865 times -5658\nAnswer: -531088170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17895 + -9306. What are the prime factors of l?\nAnswer: 3, 7, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 6*k**3 + 4*k**2 + 10*k + 4. Calculate z(-3).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2573 divided by 23?\nAnswer: 2573\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 112001002002 - 10?\nAnswer: 112001001222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-26)*d)**(-3\/26) assuming d is positive.\nAnswer: d**(75\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*n - 3*n - 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*o**3 - 10080*o**2 + 548025*o - 537940.\nAnswer: -5*(o - 52)*(o - 1)*(o + 2069)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/(-33))\/(9*(-4)\/(-198)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.39  (b) 2\/19  (c) -0.5  (d) -41  (e) 25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 36 = -2*h - 3*i, -12 = 3*i. Calculate the least common multiple of 14 and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x = -164 + 160 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -121866487*m*p + 78107404*p wrt m.\nAnswer: -121866487*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -19, -89, -207, -373, -587?\n\"Answer: -24*g**2 + 2*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1463, 5868, 13209, 23486?\n\"Answer: 1468*k**2 + k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 562 + -2794\/5. Factor -24*v - u - 60*v**2 - 50*v**3.\nAnswer: -2*(5*v + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*n**3 - 60*n**2 + 303*n - 390 = 0. What is n?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*5*(1 + sqrt(2) + 2 + (-2*(0 + sqrt(2)))**2 + (sqrt(6)\/(sqrt(3)*-1))**2*2) + -3.\nAnswer: -228 - 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 17689637842 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*i**3 + 2*i**3 - i**3)*(76 + 74 - 57) + (2*i - i**2 - 2*i)*(2*i + 3 - 3) to the form w + m*i**2 + q*i + p*i**3 and give p.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 3*t - 20 = 0, 200*q - 5*t + 16 = 204*q. Let r(f) = 15*f + 2. Give r(q).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*t + 18*t + 12. Let k be 36*-1*t\/9*20. Let a = k - 137. Is a a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 88558 divided by 1\nAnswer: 88558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1579 + -133141?\nAnswer: -131562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1 from -0.0073.\nAnswer: -1.0073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 988\/(-57)*3*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (((-2)\/6)\/((-3)\/69057))\/(-9). Let k = n + 851. Let v = -65\/36 - k. Is v at most 1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/((r\/r**7)\/r))\/r)\/(r\/(r**4\/r)))\/((r*r*r\/r**4)\/r)**(-2\/147) assuming r is positive.\nAnswer: r**(1319\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 37657382 or 37657381?\nAnswer: 37657381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -3*j + 4. Let y be z(5). Let t be 9\/(-6)*(1 - 13). Let i = t + y. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -24*((-33)\/(-55))\/((-270)\/1950)\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**3 + 5*v**2 - 4*v + 14. Suppose -3*j = j + 24. Let x be a(j). Solve -15 = b + 4*b - x*o, 5*o = -5*b + 20 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -81*b - 12219 = -771*b - 489 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v**2 + 0*v**2 + 0*v**2)*(2 + 4*v - 2 + 0*v + 7*v - v + (0*v + 4*v + 0*v)*(1 - 3 + 3)).\nAnswer: 14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-5)\/(-3) + -3)*3. Let n = 19 + u. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -75353*l**2 + 2*l**3 + 301401*l**2 - 75350*l**2 - 75345*l**2 - 75353*l**2.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**2 + 2*o + 9. Let i be k(-8). Let c = -18 - i. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 772.1162 litres in millilitres?\nAnswer: 772116.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**3 + 2*m**2 - 7*m + 7. Give p(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is (6 + -8 - 5579)*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, 0, 2286, -5, -2 in increasing order.\nAnswer: -5, -2, -1, 0, 3, 2286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/(-8) - -42*1\/(-8). Let v = 112 + -109. Sort -2, b, v, 0.1.\nAnswer: b, -2, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 31 - 27. Suppose c*x = 2*n + 3*n + 34800015, 12 = -4*n. Round x to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (14 + 0 + -12 - 7) + (-9 - -1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 62945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17674 (base 11) to base 3.\nAnswer: 1020222020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 385 + -200. Suppose -3*a + 8*a = f. Let c = -13627 - -13632. Solve -2*b - 1 = v + 5, -3*v = -c*b - a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-242)\/(-99))\/(352\/(-396)).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 169008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 124469 or 124470?\nAnswer: 124470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 5*v - 31. Let s(q) = 7 - 2*q + v*q + 2*q - q + q**2. Let j = -12 - -6. Calculate s(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 1)*(79*a - 34*a + 5 - 40*a).\nAnswer: -5*a - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -648800 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 - -16. What is the greatest common factor of 16 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 3*y + 102 = 0, 4*m - 4*y + 0*y = 176. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 4*r**2 + 1. Let q = 22 + -21. Let a be p(q). Let n(s) be the third derivative of s**5\/60 - s**4\/6 - s**3 - s**2. What is n(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i - 2400 = i. What is the highest common divisor of 60 and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 3*k**2 - 12*k + 431. Let a(n) = -3*n**2. Calculate u(a(v)).\nAnswer: 27*v**4 + 36*v**2 + 431","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 4*i**3 - 180*i**2 - 182*i - 207. Determine n(46).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x - 45 + 15. Let d(p) = -12*p + 8. Let o be d(x). Round o to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4\/(16\/(-3996)))\/(-1). Suppose 3*o - p = 234. What are the prime factors of o?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -2*w - 52. Let r be t(-26). Suppose r = -2*y + 2*a + 310, -2*y + 26*a + 314 = 23*a. What are the prime factors of y?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**3 + 36*f**2 - 30*f + 2. Let u be w(6). What is the highest common divisor of u and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -664 and 3.\nAnswer: -661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -34 - -16. Let j = -81 + 75. Let w be x\/(-3)*j\/(-12). Solve -w*t = 3 + 12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 4\/251 and -123\/10.\nAnswer: 2510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1451083, -1451084, -1451085?\nAnswer: -1451086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -49491419\nAnswer: 5\/49491419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 63612 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**2 - 9*r + 10. Let t be f(7). Let n be ((-5)\/(-2))\/(t\/(-8)). Suppose g = n*b - g - 18, -13 = -2*b - 5*g. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37106034587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3133 - 1133130102?\nAnswer: -1133120303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -77067*f**2*j + 2*f*j - 504*j + 701 with respect to f.\nAnswer: -154134*f*j + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9*b**2*u**3 - 2*b**2*u**2 + 4*b**2 - 110955*b*u**4 - 26*b*u**2 - 888*b*u - 11*u**3 + u**2 - 33*u wrt u.\nAnswer: -54*b**2 - 2662920*b*u - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -516.6 + 585. Let u = 69 - r. Let w = -1.4 - u. Which is the biggest value?  (a) w  (b) -1  (c) 2\/5  (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -71 divided by 8652.\nAnswer: -71\/8652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -45*x + 47. Let v be k(1). Suppose -v*n = -g - 234, 2*n - 3*g - 14 = 212. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/3*((-1)\/9)\/(-13*(-29)\/38454)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m*m*m\/(m\/((m**9\/m)\/m))*m*m)*m*m**(-2\/11)*m)\/(m\/m**(-1))**4 assuming m is positive.\nAnswer: m**(-178\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the second derivative of 3*v**3\/2 + 3*v**2\/2 - 28*v. Let o(j) = -4*j - 1. Suppose -2*n - 3*n = 15. Give n*x(y) - 7*o(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 5, d: 13}. What is prob of picking 3 d?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 30969?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**3 + 10*h**2 - 9*h + 12. Let d(k) = k**2 - k - 3. Let i be d(-3). Let n be r(i). Calculate the greatest common factor of 8 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/451281, -3\/7, 12?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-10) + 572\/(-20). Let y be 65\/(-26)*(1 - j). Let r = y - -126. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n**3 - 8*n**2 - 12*n + 23. Let o be u(-6). Suppose -28*v + o*v - 227 = -2*q, -5*v + 177 = 2*q. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3\/28  (b) 230  (c) -396  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -942 + 1062. What is the smallest common multiple of g and 90?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -10*1*(-1)\/2. Let z be 3 - (-3 - (-5 - -3)). Suppose -z*u + 76 = 4*r, u = -5*r + 28 + 71. What is the highest common factor of r and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*r - 65*r**2 - 2*r - 33*r**2 + 10*r**2 - 6*r to u*r + k*r**2 + q and give k.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1793\/115?  (a) -0.2  (b) 5  (c) -3  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1892 or 1893?\nAnswer: 1893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6 - 4. Let g = 1 + -7. Let t be -1 + 3\/g*-8. Which is greater: v or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.255 - 0.877. Round t to two dps.\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 552 is divided by 240.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1657242916 to the power of 1\/2, to the nearest integer?\nAnswer: 40709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12 - 7. Suppose 0*h + 15 = -x*h. Sort h, 2, -5 in ascending order.\nAnswer: -5, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2021000221020 (base 3) to base 15\nAnswer: 18ae49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -4*(23\/345)\/(((-20)\/(-6))\/5)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 290\/34 + (-21501)\/2389\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that 3*c**3 - 19896*c**2 + 79548*c - 79536 = 0.\nAnswer: 2, 6628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**3 + 6*j**2 + 2*j - 2. Suppose 4*q - 3*f = f + 80, -4*f - 16 = 0. Let i = q - 10. What is the tens digit of g(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the third derivative of 5*o**7\/21 - o**5\/30 + 5*o**3\/6 - 22*o**2 - 2. Find the third derivative of p(i) wrt i.\nAnswer: 1200*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 58 - -8. Suppose 5*c = -v - 169. Let q = -29 - c. Solve -6 = -2*w + f + 1, 2*w = -4*f - q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-3\/8)*s*s*s*s*s**(-1\/15)*((s\/s**9)\/s)**20 assuming s is positive.\nAnswer: s**(-21173\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8 - -13. Suppose -y*l + 3 + 2 = -2*d, 5*d = 0. Let w = 0 + 0. Which is smaller: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(4\/(-186))*37\/(-444)*8?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -41.6 + 65. Let q = 23.5 - j. Which is the closest to -2?  (a) -4  (b) -3\/8  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**3 - 6*u**2 - 6*u - 8. Let l be n(7). Let a be (3\/2)\/(6\/(-8)). Sort l, a, 5 in decreasing order.\nAnswer: 5, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 + 5 + 12 + -7. Suppose v*o - 15*o - 3178 = 0. What is the remainder when 44 is divided by 12\/(-90) + o\/(-30)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -10202*o**2 + 392*o - 16. Let i be b(-16). What is i rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 6*b**2 + 5*b + 2. Let i be g(4). Suppose -j = 4*x - 29 + 353, 5*x + 404 = -j. Let y = x + i. List the prime factors of y.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 100 + 1?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -3*q. Let m(a) = 12*a + 109. Let u be m(-9). Determine s(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3482 (base 9) to base 11\nAnswer: -1a40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*i + 19 + 19 = 0. Solve -2*u + u = i*s - 8, -4*s = -3*u - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -16021\/10 - -1591. Calculate the common denominator of l and 115\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*c + 5*c - 3*n + 12 = 0, 3*c + n - 4 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k**2 - 3*k**2 + 3*k**2)*(-1561579*k + 1561579*k - 424*k**2).\nAnswer: 848*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (3015\/804)\/((-5)\/2)*1\/18\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**2\/(r\/(r\/(r*(r**10\/r)\/r))))**(-35\/6))**34 assuming r is positive.\nAnswer: r**(4165\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*k = 3*a - 16*k - 18525, 4*a - 24695 = 5*k. List the prime factors of a.\nAnswer: 2, 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.4 and 4711.\nAnswer: 6595.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + (-4 - -2) + -8 + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, g: 1, h: 3, x: 1}. What is prob of sequence vg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -220 - -225. Solve u*a = -0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -5  (b) -13  (c) 7  (d) 1\/4  (e) -116\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 319810 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: Suppose 0 = 3*m - 0*m - 15. Let r = -2 + m. What is the derivative of -2 + 3 + r*x**3 - x**3 wrt x?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -26*d + 1360 - 1308. What is the nearest to -2\/93 in 1\/7, -11\/2, d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.03?  (a) -3  (b) -0.2  (c) 543\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 2*g - 5326 = 0, 4*g = -x - 363 + 3026. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-4)*(-4)\/(-18)*-4*(-4410)\/2352.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + -28 + 35 - 29.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -245 * -0.02.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the first derivative of 11*m**3\/3 + 235. Let x(z) be the second derivative of 17*z**3\/6 - 3*z. Determine n(x(d)).\nAnswer: 3179*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -223, -319, -403, -481, -559, -643, -739?\n\"Answer: -b**3 + 12*b**2 - 125*b - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2140 + -23?\nAnswer: 2113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 108 = -3*g - 2*k, 4*k = -12. Let d = g + -14. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -32*n + 5. Let p(b) = 127*b - 22. Calculate -2*p(v) - 9*r(v).\nAnswer: 34*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**2 + 56*j - 54. What are the prime factors of r(17)?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91352426 a multiple of 1682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7424 - 7420. Solve 5*x - 4*o = 13 + 3, -o - 4 = -z*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 318 is divided by 54?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -3*j + 12. Let p(x) = -4*x + 14. Let m(u) = 7*l(u) - 6*p(u). Let d(b) = 301*b**2. Determine d(m(n)).\nAnswer: 2709*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 71473243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/180 and -13\/420?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -35*b + 12*b**3 + b**2 + 4*b + 3*b**2 - 4*b**2 to r*b**2 + g*b + c*b**3 + s and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/30)\/(24\/80).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*m - 4*m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -97\/4, -3649, 2\/7, 0, -1, 1, 4 in ascending order.\nAnswer: -3649, -97\/4, -1, 0, 2\/7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8\/5*b**3 - 3*b**2 - 8\/5*b + 16\/5 - 1\/5*b**4 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 - 1 = 2*t + 2*o, o = t - 6. Suppose 0 = 31*y - 55 - 7. Suppose -y*v = -78 + t. What is the greatest common divisor of v and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1*((-158)\/(-12) - -3) and -71\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -551*a + 1 = -552*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 - 3. Let q(j) = j + 1. Let r be q(9). What is the tens digit of r\/(-25) + 52\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.89684g?\nAnswer: 896840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 114 = -4*d, 2*y - 58 = -0*d + 2*d. Let a be (-6 + 3)*(1 + 10). Let r = a - d. What is the nearest to -2\/3 in 7, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (16421*r - 172024 + 172024)*(r - 2 + 2) in the form m*r + b*r**2 + y and give b.\nAnswer: 16421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -10*c + 12. Let y be k(-9). Suppose 2*p = -0*v + v + y, 3*p - 3*v - 147 = 0. Is 19 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8 + 8 - 2) + 6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 257946 and 337314?\nAnswer: 4385082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 24, 23, 20, 15, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -j**2 + j**2 - 2*j**2 + (40 - 40 - 6*j)*(-7*j + 4*j + 4*j).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 246 divided by 82?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -19?  (a) 0  (b) -4  (c) -6  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) 2.917  (c) 20  (d) -0.1  (e) -0.03  (f) -2\/7  (g) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (50\/3)\/((56\/6)\/(-2)). Let n = -5 + 1. Is n at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -25 + 0*g**2 + 1789*g - 3397*g + 1719*g - 5*g**2. What is l(22)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 12  (b) -1  (c) -1\/9  (d) -1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-1)\/((-3)\/(-9) - (-395)\/(-1095)) and 6\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 48504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 60 and 2720.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13369.91nm to kilometers.\nAnswer: 0.00000001336991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2*4)\/(10\/(25\/5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 149*p**2 - 75*p - 4. Let d be a(-36). Round d to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4609560 - -1?\nAnswer: 4609561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (18 - (-20 + (-19 - -29))) + -2?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2\/5))**(2\/83)\/(u**1)**(4\/13)*(u\/u**6)\/u**2*(u*u**(-1\/5))\/(u**(-3)\/u) assuming u is positive.\nAnswer: u**(-13581\/5395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -126964b (base 12) to base 7\nAnswer: -42544112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from gbwbgwgambsbbga.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 2*d**2 - 3*d - 2. Determine g(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from ddyyddddyddddd.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**3 - 11*r**2 + 4*r + 20. Is 8 a factor of b(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7464 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13112301223 + 11?\nAnswer: 13112301300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 330*v + 229 + 379 = -1702 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5601390 a multiple of 583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -4*m**2 - 18*m - 34. Calculate r(-6).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (8\/20 - 26\/90)*12. What is the closest to 1\/2 in 1\/6, 2\/13, i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/2 of a litre in millilitres?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let g be -9*(-9 - (-78)\/9). Solve -5*q + 2*r = 15, -g*q - q + 4*r = 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:06 AM and 11:17 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in 5\/2, 2\/3, 0.6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 4*k. Let w(b) = -6*b - 3. Let x(c) = -7*c - 4. Suppose -6 = 10*d - 8*d. Let t(f) = d*x(f) + 4*w(f). Calculate i(t(p)).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 260 = -6*s + 290 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 561.4 + -561.439. What is the closest to 1 in x, 0.4, -0.2, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -2*y**3 + 2*y**2 - 2*y + 3. Let x be f(2). Let n(o) = 6 - 3*o - o + 3*o. What is the units digit of n(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5165 + 259*k**2 - 5165 as u*k**2 + g + w*k and give u.\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**3 + 2*w**2 - 32*w + 40.\nAnswer: 2*(w - 2)**2*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*a - 15*l + 50, 329544*a - 329545*a + 4*l + 10 = 0 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(300)\/((-3*sqrt(25))\/sqrt(5))*3)\/(-5*(sqrt(192) + (sqrt(192) + (sqrt(192) - -4*(-2*sqrt(192) - sqrt(192) - sqrt(192))) - sqrt(192)))).\nAnswer: -sqrt(5)\/280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*g + 2*w + 3*w + 2 = 23*g - 11*g, 176*g + w = 527 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = -3*k. Let g(y) = k*y**2 - 4*y**2 + y**2. Let i(q) = -5*q. Calculate i(g(p)).\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 306*a - 271*a + 105 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d\/(d\/(d*d*d*d*d**(-6\/5)*d))*d)\/d)\/d)\/(d*d**(-24)*d*d) assuming d is positive.\nAnswer: d**(119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 + -16. Let j = z - -22. Suppose -3 = 3*a, a + 2681 = -j*v - 2020. What is v rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 833605 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -336 - -472. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that -2*n**4\/9 - 8*n**3\/9 - 2*n**2\/3 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 3575\/(-15600) - 2\/(-32)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/153 and -58\/63?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -109773011394 - 5.\nAnswer: -109773011399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are 500398410 and 500398411 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from auaeaaeauuueeu. Give prob of sequence aaee.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -2011 (base 6) to base 5\nAnswer: -3224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/(-150))\/(64\/(-80)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14\/6)\/((-5)\/(105\/(-7))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 8528\/287 + -29 - 174\/(-21). Let s = 1.3 - 0.3. Put c, s, 0.1 in descending order.\nAnswer: c, s, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 27087 or -4?\nAnswer: 27087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(2\/5))**(2\/35)*s**2*s**6\/s)**(-13\/4) assuming s is positive.\nAnswer: s**(-2301\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 97*z**2 - 10*z - 12. Let o be t(9). Suppose 0 = -5*l + 20*l - o. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = p, 2523*o = 2518*o - p - 25 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 224940788 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38904.\nAnswer: 2, 3, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 260303647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -6333, -6332, -6331, -6330?\n\"Answer: b - 6334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -9\/5, -4, 0.05, 3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -102315 (base 10) to base 4.\nAnswer: -120332223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58857?\nAnswer: 3, 23, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3 and -126.\nAnswer: 37.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 131\/3 - 43. Let m(f) be the first derivative of f - 3 - 1\/2*f**2 - s*f**3. What is m(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -22602 - -22623. Solve 77 = 14*x + d for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -6 + (45 - (-31 - -93))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -439507, -878986, -1318465?\n\"Answer: -439479*z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -6*u**3 - 2*u. Let l be s(-2). Suppose -29*i - l = -33*i. Factor i*m + 0*m**2 + 12*m**2 + 4 - m**2 - 2.\nAnswer: (m + 1)*(11*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the first derivative of -33*r**7\/7 + r**3\/3 - 28*r - 69. What is the third derivative of h(t) wrt t?\nAnswer: -3960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 20, -0.3, 1\/3, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*s + 52*s - 24*s - 11 = 0 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 15883430197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 205539 * -0.6.\nAnswer: -123323.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -8400000 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 3*v**2 + 41340*v - 413708. Determine n(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 455*k + 31. Let o be z(-9). Let w = o + 5721. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80*t + 63*t - 85 = 0. Sort -23, -4, 3, t, -1 in ascending order.\nAnswer: -23, t, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*((-1442)\/33 - (101 + -126)) - (-1)\/11\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dududdudduddududdh. Give prob of picking 1 d and 1 h.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange u + 2 - 5*u - 4 - 3*u to i*u + p and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -364 divided by -2712\nAnswer: 91\/678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 4894718966 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -551290 divided by 290.\nAnswer: -1901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, 0.3, -0.0676?\nAnswer: -0.0676","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 11749a - -29?\nAnswer: 117507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3 - (0 - -1))*-1. Let y(q) = q**3 - 7*q + 2. Let k be y(u). Let n(v) = -v + 11. Give n(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.32473 minus -47830.42?\nAnswer: 47830.09527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-5*(sqrt(68) - (6*-1*sqrt(68) - sqrt(68)))*-1)\/((sqrt(1536)*2)\/(-6*2*sqrt(6) + sqrt(6))).\nAnswer: 165*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Do -5\/1138 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 2563, -5, 5 in descending order.\nAnswer: 2563, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = 3*t + 16 + 10, 4*b + 36 = 2*t. What is the units digit of -30*(-2 + (-16)\/b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-15)\/(-9) - 21\/((-49)\/(-7)). What is the nearest to 1 in v, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a - 5*l + 83366 = 9*a, 0 = 4*a + 5*l - 111153. Suppose a = 5*o - 49938. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, 6218, -5, -0.4, 0.2 in ascending order.\nAnswer: -5, -0.4, 0.2, 10, 6218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16 - 30 + 128)*(2*u**3 + 6*u**3 + u**3).\nAnswer: 1026*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -84708, -86481, -88254, -90027, -91800, -93573?\nAnswer: -95346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 728 and 33593?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 30458 and 314?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -65.3 * 16.6.\nAnswer: -1083.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 25317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 9696997379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -59687263*s**6 - s**2 + 58190029 wrt s.\nAnswer: -7162471560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -2*k**3 + 52*k**2 + 177*k - 90. Determine n(29).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = -8*o + 11*o, 3*b + o + 11 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**3 - 3. Let g be h(2). Suppose -6*r + g*r + 565 = 0. Suppose 4*t = -3*z + 751, 4*t - t - r = -4*z. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.33 - 0.07. Let k = 1.8 + -2. Let m = 0 + k. Put 0.1, i, m in ascending order.\nAnswer: i, m, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -510319 + 232319. Round r to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3976306054 - -3976306060.699999642. Let h = 6.7 - k. Round h to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 152485?\nAnswer: 5, 30497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and 0.88.\nAnswer: 0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 131 + -175. Let x = -1.39 + -57.61. Let q = x - g. Are q and -2\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 10 = -3*o, 3*m - 5*o + 8 + 32 = 0. Let q = m + 0. Put 0, 15, q in descending order.\nAnswer: 15, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1271243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 18144 and 486?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -10740.4816 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -32, -69, -120, -185, -264, -357?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 19*q + 107*q - 38*q - 36*q + 3 - 51*q.\nAnswer: -37*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -483 + 309. Let j = -75 - v. Let s = j - 98.99886. Round s to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 61412 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 397774*r + 5. Let m(f) = -f. Determine m(o(u)).\nAnswer: -397774*u - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -109068.\nAnswer: -5\/109068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1311\/10 + -131. Put 5, q, 0 in increasing order.\nAnswer: 0, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -3*j**2 - 79*j + 137. Let n be k(-28). Let s(c) = 8*c**3 + 2*c**2 - 4*c - 4. Let r(o) = 7*o**3 + 2*o**2 - 4*o - 3. What is n*s(b) + 4*r(b)?\nAnswer: 4*b**3 + 2*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1, 0.2, 2.8, -2, -0.1, -31206?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1168 at least as big as -1168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (14 - 2) + (-12 - -6). Find the third derivative of 72*v**d - 84*v**6 - 21*v**2 + 5*v**3 - v**3 wrt v.\nAnswer: -1440*v**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ab when two letters picked without replacement from vvaabraabaaa?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**2 + 3*r - 2. Let s(b) = -b + 2. Let o be s(4). Let l be o\/8 + (-102)\/(-24). Give t(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 331 - 331. What is the closest to 1 in 2\/5, b, -1\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = 3*f + 19, 4 = 5*f + 3*c + 34. What is the closest to -13 in f, 2, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -174, -347, -516, -681?\n\"Answer: 2*q**2 - 179*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1335284957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**3 + 67*u**2 - 2*u + 486. Is m(-67) a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (5\/(-3))\/(5\/(-45)*3). Suppose -3*f - b*k + 775 = 2*f, -2*k - 306 = -2*f. What is the highest common factor of f and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1273645 a multiple of 1005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -100 divided by 5\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 7 + 4*b**2 - 398*b**3 + 7*b + 7 - 16*b - 10*b + 399*b**3. Determine v(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 7554*a + 90663. What is t(-12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -7\/13, 3, -1\/282 in ascending order.\nAnswer: -3, -7\/13, -1\/282, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -1\/5, -4.\nAnswer: -4, -1\/5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*(-4 + (-39)\/(-3)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - 479615.36?\nAnswer: -479617.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*t**2 + 2435840*t - 370832281600.\nAnswer: -4*(t - 304480)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 349*s - 893741 = 26*s. What is the remainder when s is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes after 2:25 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 5*j - 40 = 0. Suppose 1 + 9 = j*i. Calculate the remainder when i is divided by 1\/3 - (-5)\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -48\/7037069 and -53\/45531.\nAnswer: 63333621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**17)\/(s*s*s**(3\/4)\/s))\/(s**(-7)\/s)**43 assuming s is positive.\nAnswer: s**(1441\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n - 40 = 5*t, -3*n + 2*n + t = -2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 4*i = -0*c - 12, c + 4*i - 15 = 0. Let x(f) = -4*f**3 + f**2 - 1. Let j(g) = -19*g**3 - 2*g - 3. Let z(d) = j(d) - 2*x(d). Determine z(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 12\/(-8)*6\/18*36. Let n = -4 - -4. Is n not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 26 + 36*i + 9 + 3 - 7*i wrt i?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (24*2)\/4 - 4. Suppose 2*p + n - 4 = 0, -2*p - 545 = -a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -144 + 260. Let g = j - 59. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-556)\/6 + 20\/30. What is the tens digit of (8\/(-16))\/(2\/j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -32 - (-4 - 5) - ((0 - -8) + -9).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from {o: 3, f: 2, e: 1, z: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-3*(((sqrt(2448) + 0)*4 - (sqrt(2448) + 1*-2*sqrt(2448))) + 5)*-4)**2.\nAnswer: -52898400 - 518400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 44*y**2 + 85*y - 17. Let j(a) = 15*a**2 + 30*a - 6. Let o(p) = -17*j(p) + 6*w(p). Let m(f) = -152*f**2. Give o(m(v)).\nAnswer: 207936*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes before 8:29 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from cccss.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-1*sqrt(3087) - (4 + sqrt(63))*-5)*-6 + 0.\nAnswer: -124 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 34345144 (base 6) in base 10?\nAnswer: 1056088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 1265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*r**2 - 2 - 9*r**2 + 5.\nAnswer: -3*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 212, 338, 290, -22, -688, -1798, -3442?\n\"Answer: -15*o**3 + 3*o**2 + 222*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1 - -1) + (8 - 2). Suppose i + 25 = l*i - 3*c, -3*i - 4*c + 15 = 0. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5106 take away 351428?\nAnswer: -356534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 4*b**2 - 2 + 7 - 4 - 12*b**2 - 9*b + b**3. Let d be p(9). Which is smaller: d or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -2*l + 5*f + 25, -3 = f. Suppose l*m = m - 6. What is the units digit of ((-6)\/(-9))\/(m\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + n - 2*n = -19, 0 = g - 2*n - 18. Let p be 8 + -2 + g + -3. Solve -3*o - 4*z = 8, -p + 0 = 4*o + 5*z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1708205 is divided by 1736.\nAnswer: 1717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 - -3. Let r = -2 + 2.2. Let x = r + 0.2. Which is the third biggest value?  (a) i  (b) -0.1  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (7\/(-8))\/(21\/(-168))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yaaavjjvjjvlajayvv. Give prob of picking 1 v and 1 j.\nAnswer: 25\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 0 + 1)*(-4*p + 4*p + p) + 30*p + 72*p + 69*p)*(3 + p - 3)*(-5*p + 4*p + 0*p).\nAnswer: -172*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*u - 3*u + 40032 = 0. Let y = -1422 - u. What are the prime factors of y?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(0 + sqrt(432) + 0)*-5)**2 + sqrt(12)\/sqrt(4)*-1 + sqrt(27)\/(sqrt(36)\/sqrt(4)) + 1 + (6*(sqrt(3) + 0))**2 + 0.\nAnswer: 10909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 14*i**2*v**3 + 926*i**2*v**2 - 37*i**2*v + 13*i*v**3 - v**3 wrt v?\nAnswer: 84*i**2 + 78*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**2 + 7*s + 6. Suppose -n + 4 = 2. Let c = 213 + -207. Suppose -c*q = -n*q + 16. Give a(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r = -20*x + 18*x + 10, 3*r + 5 = x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 225 (base 6) to base 15.\nAnswer: 5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -35 (base 11) to base 10.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68*f**2 - 8*f + 10*f + 69*f**2 - 2*f.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 24305852 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -19, 1, -4, 195 in decreasing order.\nAnswer: 195, 1, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.6649 + 1.9649. Sort p, -473, -0.4 in ascending order.\nAnswer: -473, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**3 + 5*z**2 + 4. Let u be w(-5). Solve -2*n - 4 = -u*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by -404.\nAnswer: 1\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + 225\/(-39)*1?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**3 - 46*o**2 - 235*o - 11. What is the tens digit of h(60)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 7, q: 3, m: 4}. What is prob of picking 2 q?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 122109910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-5*(sqrt(540) - (sqrt(540)*2 - sqrt(540))) + sqrt(540)))\/((sqrt(110)\/(sqrt(2)*-2))\/(sqrt(44)\/sqrt(4)*5)).\nAnswer: -360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18 - 83. Let a = m + 219. Let u = 282 - a. What are the prime factors of u?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 5*i + 5*i - 17*i + 6*i in the form q + l*i and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 930.161mm in micrometers?\nAnswer: 930161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, 0.1, 2\/17, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4002 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in 11, 2\/9, 266?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1516, -3085, -4716, -6409, -8164, -9981, -11860?\n\"Answer: -31*t**2 - 1476*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate u**3 - 4369*u**2 - u + 75154 wrt u.\nAnswer: 3*u**2 - 8738*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4 - -7. Which is the nearest to -1?  (a) 0.1  (b) 2  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 6, u: 3, t: 4, f: 4}. What is prob of picking 3 u?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.6074486km?\nAnswer: 607448600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-21)\/18*(-22)\/14. Let r = 160 - 280. Let m = 123 + r. Is l smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -173*j + 182*j - 27 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: What comes next: -14394, -57423, -129138, -229539, -358626, -516399, -702858?\nAnswer: -918003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(220) - sqrt(220)*-2) + -1*sqrt(6655))\/((-6*(sqrt(77) + 2*sqrt(77)) + sqrt(77))\/sqrt(7))*4)**2.\nAnswer: 2000\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 126528 is divided by 63240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rr when two letters picked without replacement from awavrsaar?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + 0 + 5 - 6 - -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -671 - -711. Suppose 9*d = t*d - 1054. Calculate the highest common divisor of d and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -111 - -240. Let h(v) = 128*v - b*v - 3 - 3. Determine h(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1 and 0.2957.\nAnswer: 0.02957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -29824, -29825, -29826, -29827, -29828?\n\"Answer: -w - 29823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 685 a factor of 5988955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 - 1043?\nAnswer: -1040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -474\/311 + 4251\/2177. Let b = 0.9 + 0.1. What is the third smallest value in b, -4, 1\/8, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7302 is divided by 3610?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 418*l**3*t*y + 1232043*l**3*y**2 + 71*l**2*t*y**2 + l**2*t*y - l**2*y**2 + 3*l**2*y + l*y + 3998*t*y - 24*y wrt l.\nAnswer: 2508*t*y + 7392258*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3131\/2 - -1566. What is the closest to 18 in y, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**2 - 8*c + 10. Let s be d(7). Suppose 2*m = -s*m. Suppose m*k = 4*k - 100. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3 - 0.78996.\nAnswer: -0.48996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**3 + 25*g**2 + 8*g - 88. What are the prime factors of d(-11)?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and -673.4.\nAnswer: 2693.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 13981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/3784 and 85\/10511952?\nAnswer: 10511952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6) + sqrt(6) + (3*(sqrt(12)\/sqrt(2) - sqrt(6)) - sqrt(6)))\/sqrt(3)*-5 - ((sqrt(2) + 2)*-3 + (-1*sqrt(8) + sqrt(8))\/sqrt(4)).\nAnswer: -2*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 8*o**2. Give y(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(114) - sqrt(114)*2)*3 - 2*sqrt(114)*2)\/(sqrt(726) + -2*sqrt(726) + sqrt(600)*-1 + sqrt(6)).\nAnswer: 7*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -18*b + 10*b - 16*b + 50897 - 50897. Let q(t) be the second derivative of -t**4\/6 + 7*t. Determine q(z(v)).\nAnswer: -1152*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1590447?\nAnswer: 3, 29, 101, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1\/467 - 5125\/5604. Is 0.2 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-2)\/i)**(9\/7)*(i\/(i**(-1)*i)*i)**(11\/3))**(-1\/7) assuming i is positive.\nAnswer: i**(-73\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 22\/77 - (-26)\/7. Let p(z) = z**2 + 2*z - 3. Let m(l) = l**2 + 3*l - 3. Let t(v) = f*p(v) - 3*m(v). Calculate t(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*j**4 - 8*j**3 - 84*j**2 - 72*j = 0. What is j?\nAnswer: -3, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 327c + 80?\nAnswer: 332c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (2 - -1) + (-1 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (27 - 24) + (0 + -2 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 40\/11339 and 27\/232.\nAnswer: 90712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(36)\/sqrt(3))\/sqrt(4) - (sqrt(48) + 0))*-6)**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -592*c - 42. Let x be d(4). What is x rounded to the nearest 100?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 119 in -2\/181, 0.5, 10\/3?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 85 and 17273190.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-26)\/(-20)*20\/(-5)*(-40)\/16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -79 = -20*v - 39. Suppose -76*s = -77*s + v. Factor 2\/3 + j + 1\/3*j**s.\nAnswer: (j + 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2740, -5482, -8226, -10972, -13720, -16470?\nAnswer: -19222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0\/(-37))\/(2\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -100 + 399. Let h(c) = -5*c**2 + 288*c + 43 + 11 + 4*c**2 - f*c. What is the units digit of h(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -3*n + 4. Let z(w) = -345*w - 21. Let f(d) = 630*d + 42. Let h(p) = 6*f(p) + 11*z(p). Give 4*h(q) - 22*v(q).\nAnswer: 6*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -47 - -3?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**2 - 5*h - 49. Calculate u(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 18180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 128855520 a multiple of 3096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l\/(((l\/l**(-38))\/l)\/l*l)*l*l**(-38)*(l**(-3\/16)*l)**(-5\/2) assuming l is positive.\nAnswer: l**(-2433\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 12 = 3*t + 21, 2*n - 8 = 0. Let b be t\/(-35) - (-100)\/28. Let a(y) = 16*y - 1. What is the tens digit of a(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3*4\/(-3))\/(-2). Suppose -2*v - 25 = -8*z + 3*z, 2*v + 4 = -n*z. Is v greater than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*s = 26*s - 238. Let x = 120 + s. What is the highest common factor of x and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 17085 and 90865.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -60.2743 times 0.1\nAnswer: -6.02743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.321694 milligrams in grams?\nAnswer: 0.000321694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 250794672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 175\/1100*(-72)\/(-567)\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -143, -101, -31, 67, 193?\n\"Answer: 14*j**2 - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 86395703755 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 68099, -3\/5, 0.5, -5, 0.1, -3?\nAnswer: 68099","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 + 2 = 2*a - 5. Solve 5*k + 3*u + 16 = a, -6*u + 2*u + 12 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11631539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 1 - 3*t)*(-2 + 2 - 1)*(37*t + 42 - 42)*(-1 - 1 + 8)*(3 - 2 + 0) to the form z*t**2 + a + f*t and give z.\nAnswer: 666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 30227, 4, 1.6?\nAnswer: 30227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a + 3 - 3*a + 3 - 1 + a**2. Let r be u(2). Solve 6*p - 2*p = -5*b - 40, -30 = r*b + 2*p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l\/(l*((l*l*l**(2\/3))\/l)\/l)*l**(-1\/4)\/l*l*l**(1\/2)*(l\/((l*l\/l**(-2\/15)*l)\/l))\/l*l assuming l is positive.\nAnswer: l**(-31\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f = 5*o - 168, 0 = -3*o + 86*f - 182*f + 93*f + 162 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s**2 - 5*s + 11. Let g be v(-6). Suppose -g*y = -0*y + 2130000. What is y rounded to the nearest 10000?\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42189 = 290*k + 954*k + 638*k + 8625 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the first derivative of 0*w**4 + 0*w**3 + 23*w + 7 + 0*w**2 - 34\/5*w**5. What is the first derivative of k(f) wrt f?\nAnswer: -136*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 610 minutes before 11:15 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -111410012 (base 5) in base 11?\nAnswer: -30a86a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 251464 - -130927. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6\/(-8) - (-19532)\/16. Suppose 860 = 10*i - y. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -174.063138 - -0.144138. Let f = -174 - t. Round f to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-65920*y + 538*y**2 + 65920*y + (-y - 5*y + 4*y)*(y - 3*y + y))*(0*y - 4*y + 2*y) to the form j + t*y**3 + n*y**2 + k*y and give t.\nAnswer: -1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add -8.51 and -0.2813.\nAnswer: -8.7913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -4*j + 3, -5*o + 5*j + 500 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 32 + -31 + 2 + 1. Let c(s) = -17*s - 4. Let u be c(-4). Differentiate -58 - 3*x**4 + u + 5*x**4 - 3*x**o with respect to x.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(180) + 3*sqrt(180) + sqrt(500) + -3 + (sqrt(5) + (1 + sqrt(245) - sqrt(5)) - (-5 + (sqrt(5) - sqrt(20)\/sqrt(4))))))**2.\nAnswer: 6150*sqrt(5) + 210350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -5, 38 in decreasing order.\nAnswer: 38, 8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*l - 891054 + 6*l - 1843411 - 224305.\nAnswer: -l - 2958770","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12.6 - 7.64. Let x = 3.008 + 1.992. Let f = q - x. Is f < 1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-19)\/(4199\/104))\/(-4).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -7*b**2 + 4*b. Suppose -z + 3*k = -27, 5*z - 5 = 4*k + 152. Let d(c) = -c - 3. Let w be d(-7). Let i(a) = 57*a**2 - 33*a. Give w*i(s) + z*x(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and -13760?\nAnswer: -2752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*j + 320 + 1714 = 0. Suppose 232*a - 696 = j*a. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 2*p**3 - 3*p - 4. Let n(q) = -q**3 + 2*q + 3. Suppose 4*g - 4*l + 12 + 0 = 0, -3*g + 4*l = 9. Let s(h) = g*n(h) - 2*w(h). Give s(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes before 11:33 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 143*z**2 + z - 1. What is the hundreds digit of k(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 2*p. Let i(c) = -195*c. Determine -2*i(q) - 2*s(q).\nAnswer: 386*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 7*l = -f + 145, -5*f = -4*l - 845. List the prime factors of f.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 4167, 4116, 4101, 4122, 4179, 4272?\n\"Answer: 18*d**2 - 105*d + 4254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-7)\/(-4))\/((-3)\/(-12)). Let a(y) = -k*y + 25*y**2 - 3 - y**3 - 16*y**2 + 0*y**3. Let s be a(8). Solve -4*g = 4*l + 4, g + 0 = s*l - 7 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -13*b*v**2 + 183662*b - 9541*v**3 + v**2 wrt v.\nAnswer: -26*b*v - 28623*v**2 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = a + b - 15, -4*b = -5*a - 3155754 + 3155828 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1464645 and 163995.\nAnswer: 42474705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2591 + 2689. Let w be -2*(2 - (4 - 0)). Suppose -63 = -7*y + w*y. What is the remainder when r is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the second derivative of 1\/12*y**4 + y**3 + 1\/5*y**5 + 13*y + 0 + 0*y**2. What is the second derivative of q(h) wrt h?\nAnswer: 24*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 19.1 + -18. Let s = j + -6.1. Which is the smallest value?  (a) -1  (b) s  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 7*x**2 + 13*x - 96. Let i be o(7). Solve 38*m = -72 + i for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000941102201 to five decimal places.\nAnswer: -0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - b**2 + 2 + 32*b**3 - 33*b**3)*(-b - b - b) as m*b**3 + z + k*b**4 + l*b**2 + w*b and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/4)\/(-7 - 310\/(-40)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 130286165 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 24 = 4*c - c, 6 = 2*c + 3*k. Let p be 40\/c + 8\/(-12). What is the third derivative of -4*s**6 + 6*s**6 - 2*s**2 - s**2 - 3*s**p wrt s?\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 140119.\nAnswer: 7, 37, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**3 - 10*f**2 + 4. Let w be b(10). Solve 12 = -w*l - 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -12*b + 14*b - 5*o, -2*b - 3*o - 11 = 0. Put -9, b, 4 in descending order.\nAnswer: 4, b, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2, 26, 72, 146, 254?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 270\/(-63) - (-5 + 1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9251410 to the nearest integer?\nAnswer: 3042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 123 + -120. Let z be 3\/(-7) + v\/21. Do z and 3\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 348751642?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 337235472?\nAnswer: 2, 3, 7, 73, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes before 1:55 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 251 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3.04 - -0.04. Let r = -1 + 2. Which is the second smallest value?  (a) h  (b) r  (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 3*z**2 + 8*z. Let x(d) = d**2 + 3*d. Let w = -25 + 17. Determine w*x(u) + 3*o(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1641228?\nAnswer: 2, 3, 136769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 11  (b) 4\/19  (c) -0.37  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-23 + 17 - 4) + 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 4*x - o + 36 = 0, 4*x + 5*o = 12. Suppose 5*a + 2*j + 3 = 7, 4*j = x. Let z(n) = -n**3 - n**2 - n + 15. What is the units digit of z(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:27 AM and 3:40 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**3 - 34*n**2 - 42*n + 245. Let w be f(35). Let s = -0.695 - -0.7. Put 1\/5, w, s, -0.5 in decreasing order.\nAnswer: 1\/5, s, w, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12 - 7 - 1182*x + 472*x - 5 + 520*x.\nAnswer: -190*x","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n - 5 = 5*l, 418*l - 4*n - 14 = 417*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 33\/8  (b) 4.3  (c) -11  (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 916 + -907. Solve 8*o + 3*o = g*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*s + 14*s + 73*s.\nAnswer: 83*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 7871, 16581, 25295, 34013?\n\"Answer: 2*y**2 + 8704*y - 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 127\/748050 and -19\/31218620.\nAnswer: 468279300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 400457636 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*p - 6*p - p)*(3*p**2 - 3*p**2 + 3*p**2).\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 44437187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2)\/(-11) + 833\/77 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 1 e, and 1 z when three letters picked without replacement from {v: 2, e: 9, h: 1, r: 3, z: 3}?\nAnswer: 27\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 5163 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*a**2 - 3*a**2 + 2*a**2)*(-29 - 5*a**2 + 17 + 4*a**2).\nAnswer: -2*a**4 - 24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the first derivative of -y**4\/4 + 17*y**3\/3 - 7*y**2 + 16*y + 4. Calculate the remainder when v(16) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-86)\/18 + 2\/(-9). Let s(n) = -3599*n + 5. Let x be s(q). Round x to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 970160182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -2*b**2 - 4*b - 4. Let n(m) = -3*m**2 - 9*m - 9. Suppose 15 = -3*s - 4*l, 3*s + 2*s - 2*l + 51 = 0. Calculate s*u(y) + 4*n(y).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -50 - 11?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 789608759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 392 divided by -2\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-1 + sqrt(13)) + -2 + -4.\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 2 - 2 - 7520\/(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 - -65. Let p = a - 65. Calculate the remainder when p is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*f*z**4 + 2*f*z**3 - 2*f - 27*z**4 + 16*z**2 + 1 wrt z.\nAnswer: -48*f*z + 12*f - 648*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 83463200000*x**2 - 3876000*x + 45 = 0. Calculate x.\nAnswer: 3\/129200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 16*w. Let o(f) = 2*f**2 - 115. Calculate o(r(v)).\nAnswer: 512*v**2 - 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13242 - 8853. Suppose 3*l = -4*n + q, 3*n + 1251 = 2*l + 4547. Let k = n - 19769\/18. Find the common denominator of 29\/10 and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 1, -0.3, -4, -7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 197217.99999892699 + -197218. What is b rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.2 + -3.163. Let c = -75.757 + 72.32. Let l = y + c. Round l to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*v + 6 - 14 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1783 + 1783 - 279*i)*(-1 - 1 + 1) + 8*i + 8*i + 11*i in the form d + r*i and give r.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59 + 3 = 3*u + 5*v, -4*v + 72 = 4*u. Suppose 0 = -8*y + u*y - 192. Let m = -35 - -115. What is the highest common divisor of m and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the first derivative of c**6\/1080 - c**5\/72 + c**4\/12 + 18*c**3 + 70. Let v(x) be the third derivative of h(x). Suppose v(w) = 0. What is w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 69*l - 93. What are the prime factors of u(5)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 104*b - 23. Let c(k) = 2*k. Determine w(c(g)).\nAnswer: 208*g - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**3 + u - 1. Let k(y) be the second derivative of 0*y**3 + y**2 + 0*y**4 - 3\/20*y**5 - 13*y + 0. What is k(m) + 2*p(m)?\nAnswer: -m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1274046 and 427.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10\/23 - 44\/207. Suppose -11 = -3*w + 2*p, -337 + 323 = -4*w + 3*p. Which is the third biggest value?  (a) -8  (b) -4  (c) w  (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-9))\/(4\/4*11\/(-11))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -139904121, -279808241, -419712361, -559616481, -699520601, -839424721?\n\"Answer: -139904120*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5351128 is divided by 952.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1619339728 to the power of 1\/3, to the nearest integer?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*p**3 - 9*p**3 + 66*p**3 + 3*p**2 + 3*p**3 - 3*p**2 + (3 - 3 - 2*p)*(-15*p**2 - p**2 - 12*p**2) as h*p + f*p**2 + b*p**3 + s and give b.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x + 5*u = 72380, 5*x = 7*u - 12*u + 51710. Calculate the greatest common factor of 65 and x.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10 and 21526.\nAnswer: 107630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3 + (2 - -1482) - (-6)\/(-3). Let x be (-32)\/(-12)*u\/6. Is ((-2)\/6)\/((-4)\/x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let z = -12 - -16. Suppose -z*a = 5 + 11. Let n be (a\/8*-4)\/8. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 64*c**2 - 24*c**2 + 0*c + 0*c.\nAnswer: 40*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2 + (-1 - 1) - -3. Suppose 5*o - 102 - 4 = -c*t, -2*t + 4*o = -78. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 - (-1672)\/(-55))\/(3400\/(-125) - -27).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 75325.9969 to the nearest 100.\nAnswer: 75300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 + 0 + 3 - l + 39*l + 45*l + 13*l + (-3*l + l + 0*l)*(0 - 2 + 4) - l + 0*l + 0*l.\nAnswer: 91*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3397 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**2 + 15*i + 14. Let c(j) = -j**2 + 14*j + 15. Let v(b) = -6*c(b) + 5*d(b). Let m be (-22 - -4)*46\/92. List the prime factors of v(m).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 733 = 501*w - 479*w - 367. Calculate the remainder when 177 is divided by w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 6 - 3)*(-7830*l - 9421*l + 2591*l - 2907*l) as i + d*l and give d.\nAnswer: 70268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 293455056 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.2  (b) -8  (c) -27  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*p**3 + 67275*p**2 - 377059536*p - 1131784164 = 0. What is p?\nAnswer: -3, 11214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -4*m**2 + 300*m + 484. Let a be h(69). Is 2140 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -36513 - -36549. Solve 84*v + d = 90*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (11 + 1 + -3)*1. Let h = -7 + j. Solve l + 5 = h*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 3*u - 2 = 0, 4*i - 22058 = -3*u. Suppose -16*w - 5*t = -12*w - i, -4*w - t = -5509. Is w a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vaa when three letters picked without replacement from aavva?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2110 != 2110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -45, -20, 8, -9, 0 in increasing order.\nAnswer: -45, -20, -9, -3, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 43229, 94443, 145657?\nAnswer: 196871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**3 + 6*k**2 + 2*k. Let y be v(-6). Let x = y - 1. Let l = 26 + x. What is the highest common factor of 104 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 32462144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 778376 - 266391. Suppose -2*u + 512025 = 4*x - 7*u, 0 = -4*x - 3*u + f. What is x rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nren when four letters picked without replacement from nefenyyreenyn?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:28 AM and 5:10 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 2)*(3 - 3 - 2*a**4) + 0 + 0 - a**4 + 278613*a**3 - 51*a**4 - 278613*a**3 + (4*a**4 + 3*a**4 - 5*a**4)*(5 - 1 - 6).\nAnswer: -52*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -438, -1098, -2226, -3846, -5982, -8658?\nAnswer: -11898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4818 - 7999 - 7511 = 132*g for g.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3  (b) -1  (c) 79  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*f - 3*f + 7*f)*(8*f + 1 - 5*f - 5*f) in the form y*f**2 + r*f + t and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -0.205106 times 3\nAnswer: -0.615318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 46 + -51. Let d(u) = -u**2 - 16*u - 10. Let l be d(m). Let v = 53 - l. Calculate the highest common factor of 88 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*p**3 - 1883 + p**3 + 1883.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 88.0252 tonnes in kilograms?\nAnswer: 88025.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*a**3 + 3*a**3 + 10345*a**2 - 17*a - 10327*a**2.\nAnswer: -a*(a - 17)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8021 is divided by 434?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 189188*-18.\nAnswer: -3405384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 3*y + 15 = 0, y + 8 - 3 = -5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vtrvarr. What is prob of picking 2 v and 1 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 + 8)*(0*h - 2*h + h) + (-3*h + 7*h - h)*(5 - 3 - 4).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (-43 + 10) - (-3 - -1)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 17605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.001878 + -101.203122. Let i = 103.9 + d. Let v = 2.7 - i. Round v to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*q**4 + 2*q**4 - q**4 + (0*q - 2*q - 2*q)*(-65*q**3 + 9*q**3 - 3*q**3) to n*q + v*q**3 + k*q**2 + z + h*q**4 and give h.\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j**2 - 2*j**2 + 4*j**2)*(-j + 3677*j**2 + j - 4884*j**2).\nAnswer: -3621*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 715742 and 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 3*o = 3*n + 24, 4*o - 29 = 3*n. Sort 0, n, -1, 2.\nAnswer: n, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -234*p**4 + 4209*p**3 - 7668*p**2 + 3645*p + 48 = 0.\nAnswer: -1\/78, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c**3 + 10*c**2 - 11*c. Let h be z(-11). What is the units digit of h + 2\/(2\/21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 64335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 733198?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 7559c - 3?\nAnswer: 75599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 10) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/1*(-24)\/(-32). Solve -u**n + 3*u**2 - 5 + u + 2 + 1 - 1 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -21415*r - 342669. Determine z(-16).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -19*k + 2 - 33*k - k + 0*k as j*k + l and give j.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 + 36 = 5*c. Let d be (-4)\/(2 + 129\/(-63)). What is the greatest common divisor of d and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 110258805073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 at most as big as 34491\/2131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10796 and 22.\nAnswer: 118756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g = -0*g + 4*j + 22, -23 = 2*g + 5*j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in fourty-two fifths of a centimeter?\nAnswer: 84000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 105*m. Let h(s) be the second derivative of s**3\/3 - 75*s. Give b(h(q)).\nAnswer: 210*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-5 - -4)*1)\/((-1)\/29). Suppose 2*y = u + c, -2*y - 3*u + 45 = 3*y. Calculate the highest common divisor of y and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 16537 + -16525. Solve 10*v = 12*v + q for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/((-12)\/(-3)))\/((-3)\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 116 + -71. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 485825 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 r = 4 - -1. Suppose 1 = t - 1. Calculate the remainder when r is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s**2. Let t(f) = 2*f**2. Let k(z) = -5*b(z) - 2*t(z). Let d(u) = 4*u. Let g(o) = o. Let i(n) = 6*d(n) - 22*g(n). Determine k(i(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/21  (b) -7\/3  (c) 4  (d) -5  (e) -10  (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(19) + 2)**2 + sqrt(171) + 0.\nAnswer: 19*sqrt(19) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, 1\/4, -0.4, -2\/7, 0.2, -286?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*c = 10*c + 101472. What are the prime factors of c?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -11*a - 18. Calculate z(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(84)\/(sqrt(3)*4))\/sqrt(4).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*b + 78 = -55 - 77 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes before 4:18 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 67  (b) 2  (c) 2\/9  (d) 3\/7  (e) 31\/123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -0.02266 * -1\nAnswer: 0.02266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b. Let m(v) = 1379*v**2 - 712*v**2 - 698*v**2. Give m(y(x)).\nAnswer: -31*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 16 = 5*b. Suppose -4*r + b = 20. Let f be (6\/r)\/(3\/(-2140)). Round f to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 2*u - 2. Let h be g(7). Let j be 2\/(-8) + (-21)\/h. Put j, -3, 0 in increasing order.\nAnswer: -3, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4860\/(-216)*-3*2\/162*3\/(-40).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f*f**(-3))\/f)**(2\/3)*f**(-17)*f*(f*f*f**(-1\/8))\/f*f assuming f is positive.\nAnswer: f**(-371\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 - 0.0585257380047\nAnswer: 0.3414742619953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -14, 0.5, 14, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -281.09 + 290. Let p = 9 - s. Round p to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/8 - (-105)\/28. Find the third derivative of 2*u**4 + u**y - u**2 + 2*u**4 wrt u.\nAnswer: 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10 - -9 - 10 - 3) + -3 + 23\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the third derivative of 1\/30*h**5 - 4*h**2 + 3*h**3 + 0 + 0*h + 19\/24*h**4. Is 26 a factor of t(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1.1 and 652?\nAnswer: 653.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 3*z - 11 = -4*u, 0 = 3*u - 5*z - 4. Suppose -3*t = -4*n, -6*t + u = -3*n - 3*t. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x - 4 = -2*y, 0 = x + 244*y - 234*y - 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/204 or -4\/13?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -413*b + 133097060*b**3 - 133097111*b**3 + 413*b.\nAnswer: -51*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*b = -43 + 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*j - 64*j + 1080 = 43*j. Solve j*a - 10*a - 3 = -4*t, -4*t = 5*a + 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-six fifths of a meter in centimeters?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1113, -1005, -809, -513, -105, 427?\nAnswer: 1095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -611 - -613. Is 12 a factor of (q - -8)*(-2964)\/(-130)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mce when three letters picked without replacement from cccmccmcmmcmccemcccm.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = -3*v + 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**3 + 39*y**2 - 39*y + 18. Calculate g(38).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -557*f. Let z(i) = i**2. What is z(g(p))?\nAnswer: 310249*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -16, -63, -140, -247, -384, -551?\n\"Answer: -15*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1465*v - 765 wrt v.\nAnswer: 1465","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -0*r - 6*r. Let k(z) be the first derivative of 0*z**4 - 3 + 0*z**2 + 3\/20*z**5 + r*z**3 + 0*z. Determine a, given that k(a) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 6323  (b) 4  (c) -138  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**4\/5 + 2*v**3\/5 + 33*v**2\/5 - 18*v.\nAnswer: -v*(v - 5)*(v - 3)*(v + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 divided by -1084588?\nAnswer: -102\/271147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -21592\/11 - -1958. Calculate the common denominator of 79\/10 and n.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 294ae (base 16) in base 13?\nAnswer: 5bca4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 156287127?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**3\/4 - 165*a**2\/4 - 2403*a\/2 - 2240.\nAnswer: -(a + 2)*(a + 35)*(a + 128)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 23, -2, -73, -214, -449, -802?\nAnswer: -1297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.208, 4, 1\/4, 2\/7, 36\/11.\nAnswer: -0.208, 1\/4, 2\/7, 36\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u + 73 = 3*l, 195 - 123 = 5*u + 2*l for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the third derivative of 16\/3*g**3 - 5*g - 14*g**2 - 1\/15*g**5 + 0 + 11\/24*g**4. Differentiate r(t) wrt t.\nAnswer: -8*t + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-950)\/380*(-8)\/200*-45?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/5, 9, -1\/2, -0.02 in descending order.\nAnswer: 9, -0.02, -1\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + 5 + -10 - (-7 - (-10 + 15)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -352569 less than or equal to -352567?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -2*p**3 - 3*p**2 + 9*p. Let b(z) = -4*z**3 - 5*z**2 + 17*z. What is 6*b(y) - 11*h(y)?\nAnswer: -2*y**3 + 3*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -22067096*j**2. Let z(i) = -4*i. Give r(z(a)).\nAnswer: -353073536*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 18007 or 18003?\nAnswer: 18007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1 + (-1252 + 1)\/(-1). Suppose 0*o - 5*o - 1760 = 0. Let i = o + d. Round i to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:59 PM and 10:46 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2 and -3315.4.\nAnswer: -3317.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 5 + ((sqrt(931) + (sqrt(931) - sqrt(931)*-1) + 5 - sqrt(931)) + (3 + sqrt(931))*1)*-1)**2.\nAnswer: 84*sqrt(19) + 8383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 27 + -30. Let g be 48 + (v - -2) + 2. Let n = -12 + 19. Calculate the highest common divisor of g and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from hhhhhhhkqhkhkhqqhq.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 79552 and 678226?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 96154 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -127193 - -83288. Is (4 - (-68)\/(-16)) + g\/(-20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 49 + 5*g**2 - 134 - 2*g**2 - 115.\nAnswer: 3*g**2 - 200","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -5774199 divided by -94659\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 297123?\nAnswer: 3, 99041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1224 + 15?\nAnswer: -1207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**2 + f. Let i be x(0). Let l = -11585 + 11594. Which is the fourth smallest value?  (a) l  (b) i  (c) 0.3  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(3\/2)\/y)**(-44)\/(y**(2\/13)\/(y*y\/(y**(2\/23)\/y))) assuming y is positive.\nAnswer: y**(-5753\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 945521060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 603927293?\nAnswer: 19, 191, 166417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 2*j - 6 = -0*z, -j = 4*z + 9. Let a = 1 + -4. Sort z, a, -4.\nAnswer: -4, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**3 + 38*g**2 + 43*g - 152. Let w = 13 + 37. What is the lowest common multiple of s(39) and w?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 75706*b - 357 + 112 + 118 + 127.\nAnswer: 75706*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 46778 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 173244 is divided by 43310?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -62.4 + 63.4. Which is the closest to -1\/4?  (a) 111  (b) z  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(1088) + 0 + ((sqrt(153) + -1 - sqrt(153)) + 2 - sqrt(153)))**2.\nAnswer: -20*sqrt(17) + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 2 = b. Suppose -403 = -b*u - 81. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m + 3*m - 64. Let l = -60 - m. Suppose 8 = 2*t, 0*t = a - l*t - 202. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 473538 - -4816916.\nAnswer: 5290454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*d**3 - 2*d**3 + 273949*d**2 - 273949*d**2.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**3 + 3*r**2 + 3*r + 4. Let l be s(-3). Let k = 0 + 0.4. Which is the third smallest value?  (a) l  (b) 3\/4  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -80624, -80619, -80610, -80597?\n\"Answer: 2*c**2 - c - 80625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -29 - -61. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (6\/4)\/((-9)\/(-24)). Suppose -1 = -x*m - 5. Let w(y) = y + 6. Let k(v) = 1. Determine m*w(o) + 5*k(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 55395113.27012 - 55625125.27. Let d = -229942 - j. Let u = 70 - d. What is u rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-208)\/12)\/13*(-12)\/(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 4, z: 10}. What is prob of picking 3 z?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) -1\/2  (c) -71807  (d) -0.59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(2\/5)*(y*((y**(-5)\/y)\/y*y)\/y*y)\/y*y**(-7)\/(y**(-7)*y) assuming y is positive.\nAnswer: y**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 4*o - 18 = 0, -46 = -3*w - 4*o - 4. Let i be (-8)\/w + 20\/25. Suppose i = 17*t - 11*t - 66. Solve 4*p = -b - t, 14 = -4*p - 3*b + b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 297014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the third derivative of 7\/12*v**4 + 0 - 1\/60*v**5 + 5*v**2 - 1\/2*v**3 + 0*v. Is 17 a factor of p(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 514 divide 1055242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 288 divide 7565596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2291465*j - 2291465*j - 2088*j**2 to the form z*j + k + d*j**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 104848 is divided by 264?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 922 - 43?\nAnswer: 8ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/((y*y*y\/y**(16\/3))\/y))\/(y*y\/(y**(15\/7)*y)) assuming y is positive.\nAnswer: y**(115\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11 - 5 - 4 + y + y.\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n**4 - 35685*n**3 + 30332334*n**2 - 6770389248*n + 33098096640 = 0.\nAnswer: 5, 448, 10994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 - (-1 - (-26 - 1)). Let c = j + 54. What is the greatest common divisor of 39 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 9, n: 8, s: 2}. Give prob of sequence ws.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 444 = o + 2*o, 3*q - 592 = 4*o. Let c = 250 + o. Calculate the remainder when c is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*c - 2184 + 184. Suppose -7*g = -c - 282. What is the remainder when g is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*s + 2*s**2 - 3*s**2 - 974 + 973 + 44*s**3.\nAnswer: 44*s**3 - s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of ((-660)\/14)\/(60\/(-5320))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23274 divided by 11637.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 8) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -4*b**3 + b. Let x be m(-1). Let t(y) = -5*y**2 + 3*y + 3. Let z(l) = 5*l**2 - 4*l - 4. Calculate x*z(f) + 4*t(f).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.038 to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17251 - 4006*y + 8629 + 8622)*(5*y**2 - 2*y**2 - 2*y**2 - 2*y).\nAnswer: -4006*y**3 + 8012*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 3590, 3602, 3614, 3626?\n\"Answer: 12*v + 3578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -151560749 <= -151560750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -47*o**2 - 9*o**2 - 31*o**2 + 126*o**2. Let g(h) = 156*h**2. What is -3*g(m) + 13*x(m)?\nAnswer: 39*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1011111000110110010 + 10000111110?\nAnswer: -1011110110101110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 41201 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 55101 (base 6) to base 2\nAnswer: 1110110101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00490401 to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 18*d**2 - 5 - 2 - 18*d**4 + 7*d**4 + d**2 + 10*d**4 to the form q*d**3 + x*d**4 + f*d + l*d**2 + y and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 110623.1 to the nearest one hundred.\nAnswer: 110600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 29276.409 months to years.\nAnswer: 2439.70075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11\/44 + 5 + 133255\/20 + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y - 3*k + 2 = -0*k, 5*y + 5*k = 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6465.784 days to seconds.\nAnswer: 558643737.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - n + 13 = 4*p, 2*p - 5 = 3*n. Let i be ((-44)\/(-7) - 2)*7. Suppose -g - i = w + 4*w, 3*g + 5*w = -40. Put p, 3\/2, g in decreasing order.\nAnswer: p, 3\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put together 942387 and 4.\nAnswer: 942391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 1339 divided by -28\nAnswer: -1339\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -2*p - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -118, -111, -100, -85, -66?\n\"Answer: 2*n**2 + n - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.71 + -0.39. Let j = q - -17.1. Let s = 17 - j. What is the nearest to -0.1 in -0.1, -3, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 5, -3, 138.\nAnswer: -3, 0, 5, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -6305 equal to -31519\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 249 + -248.89. Is k equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 124*x - 41*x - 14*x**2 - 48*x - 39*x.\nAnswer: -14*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -5*l**3 - 40*l**2 - 76*l + 2. Determine c(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -84958, -168528, -252104, -335686, -419274, -502868?\nAnswer: -586468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -8*s - 8. Let i(l) = 13*l + 16. Let c(w) = -5*w - 6. Let u(x) = -8*c(x) - 3*i(x). Let o(t) = -p(t) - 4*u(t). Determine o(-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -3*j - 4. Suppose r + 13 = -4*p, -p + r = 2*r + 4. Let n be t(p). What is the second derivative of -9*l**n + 5*l**5 - 4*l**5 + 3*l**5 + 3*l wrt l?\nAnswer: -100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 105*v**5 - 10926*v**4 + 10599*v**3 + 87210*v**2 - 134796*v + 7416 = 0.\nAnswer: -3, 2\/35, 2, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 48253 - 18831. Is ((-2)\/4)\/(5 - d\/5884) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 25?  (a) 0  (b) -7  (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**5\/4 + 23*s**4\/2 + 529*s**3\/4.\nAnswer: s**3*(s + 23)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the first derivative of -c**4\/12 + c**3 - 2*c**2 + 2*c - 1. Let b(x) be the first derivative of v(x). Let i be b(4). Solve 0*s = i*s - 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-2)\/4)\/(5*1\/(-40)). Suppose -1 = -w + c. Solve 0 = 2*a - 3*h - 10, -4*a - 24 = -0*a + w*h for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 94\/45 and 97\/50?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -80*o - 5*o + 54*o.\nAnswer: -31*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 25*r**3 + 3185*r**2 + 13455*r - 9225.\nAnswer: 5*(r + 5)*(r + 123)*(5*r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1856, 1636, 1416, 1196, 976?\nAnswer: 756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 407*h**2*u**2 + 43*h**2*u - u**2 + 3*u - 3 wrt u?\nAnswer: 814*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 11110 (base 2) to base 15\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (8\/10)\/(8\/(-40)) + 2. Let n = 13 - i. What are the prime factors of ((-452)\/(-5))\/(-2 - (-36)\/n)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3.28 - -3.28. What is the third biggest value in a, 112, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**2\/11 + 597562*q\/11 + 597560\/11.\nAnswer: 2*(q + 1)*(q + 298780)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -36 - 19 + 161*f**2 + 219*f + 53 - 16*f. Let h(u) = 485*u**2 + 608*u - 7. Let t(y) = 2*h(y) - 7*z(y). What is the second derivative of t(a) wrt a?\nAnswer: -314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-4))**(-49)\/(o**(-1\/10)*o)**(-15) assuming o is positive.\nAnswer: o**(419\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 1070*w. Let n(s) = 382*s. Let q(u) = 5*a(u) - 14*n(u). Let o(j) = 20092*j**2. Calculate q(o(z)).\nAnswer: 40184*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 55\/402376 and 40\/855049?\nAnswer: 6840392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2729884533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 132509 and 923?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**3 - 7*r**2 + 11*r - 21. Suppose -2*n - 10 = -2*x, 5*x = 3*n - 15 + 42. Let l be a(x). What is the greatest common factor of l and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -308*v - 1234. What is f(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -6018 and 772.\nAnswer: -4645896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1087 is divided by 359?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + (4 - 0) + -2 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 47025170 (base 8) to base 15\nAnswer: d72693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1459217.75 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1 - -2)\/((-1)\/2). Let d be 40\/16 + f\/(-4). Suppose 4*i + 6*z - 60 = 4*z, 45 = d*i + 4*z. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w**5\/7 + 120*w**4\/7 - 684*w**3\/7 + 120*w**2 + 1650*w\/7 = 0. What is w?\nAnswer: -1, 0, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 36944 to the power of 1\/2, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange g**2 - 1011*g + 1014*g - 10*g**2 + g**4 + 10 - 11 - 7 + g**3 to k*g**4 + r + i*g + o*g**2 + c*g**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -5*q**2 - 30217*q + 211547. What is f(7)?\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-104 - -107 - (-7 - 1)) + -1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*f + 7*f - 19*f = 3*p + 5, 0*p + 6 = -2*p for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 24260*f. Let z be (0 + -1)\/(2\/(-6)). Let k be d(z). Let u = k - 45780. Round u to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 7, x: 3, w: 4, e: 2, g: 3}. Give prob of picking 2 w and 2 g.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-34)\/1870*(-10)\/(10\/2)?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in -137, 3, -5795.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is c1 + -c0908?\nAnswer: -c0817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wnnl. What is prob of sequence nw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5779 - 60779. What is v rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, -2\/23, 1.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 513215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 146881118749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/45 + (-18)\/81?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -86 - -100. What is the remainder when l is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 - 2. Let b be (6 + p)*1\/2. Let r be 48\/15 - 3\/15. Solve -r - b = -2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 15823*u - 15821*u - 3*u**3 + u**3 + 67 - u**2 in the form h*u**3 + f + k*u + t*u**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2 - ((-15897838)\/120)\/(-11). Let b = 12045 + d. Calculate the common denominator of (243\/450)\/(78\/65) and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*o**2 - 168585*o - 17417300.\nAnswer: 5*(o - 33820)*(o + 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence llll when four letters picked without replacement from llllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-36)\/90)\/(1\/(-5)). Let z be (8\/6)\/((-96)\/72). Let h = 246 - 249. Put z, h, n in descending order.\nAnswer: n, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3641581 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 589 and 95?\nAnswer: 2945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2 - (-2)\/4*0. Suppose -17 = -w - 3*f, -5*w - 5*f = -4*w - 23. Factor r*a + 12*a**2 - 4*a - 6*a + 4*a**5 - w*a**4 + 4*a**3 - 4*a**4.\nAnswer: 4*a*(a - 2)*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20701420 to the power of 1\/2, to the nearest integer?\nAnswer: 4550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 79875.95mm to kilometers.\nAnswer: 0.07987595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 - 2. Let c = 8\/37 - 62\/629. What is the second smallest value in c, 3\/4, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17 = 5*t - a, 22*a + 3 = 21*a for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 361 (base 10) in base 9?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14804?\nAnswer: 2, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 140615451.\nAnswer: 3, 433, 36083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 563.4 + -563.5. Let p = 4.2 + -0.2. What is the second biggest value in r, -0.011, -4, p?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**2 - 14*o - 17. Let k be u(-12). Suppose -8 = -5*n + k. Suppose 3*f + y = 81, 0*f - n*y + 54 = 2*f. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6 and 1293843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 14 = -5*m. Let o(c) = c**3 - 3*c**2 - 4*c - 3. Let q(v) = v**2. Let j(n) = o(n) + 5*q(n). What is the units digit of j(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18560099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -13*c + 1. Let m(b) = 7*b - 1. Let a(o) = -24*o**2 - o**3 + 2*o**3 + 19*o**2 - 5*o. Let q be a(6). Give q*i(p) + 11*m(p).\nAnswer: -p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*r + 0*r + 4*r)*(-4*r**2 + 40*r - 36*r + 3*r**2) + 18*r**2 - 18*r**2 - 3*r**3.\nAnswer: r**3 - 16*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 60123.\nAnswer: 3, 7, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4.2 - -4.5. Let w = -1.1 - -6.1. Which is the second biggest value?  (a) g  (b) 2\/7  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1549 * 32.8\nAnswer: -50807.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1506 is divided by 139.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -985 = 11*m - 1073 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 69*f**2 + 82*f**2 - 2*f + 64*f**2 + 66*f**2 - 290*f**2.\nAnswer: -9*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 79778 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Total of 5.009811 and -0.4.\nAnswer: 4.609811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 53554\/5 + -10711. What is the biggest value in 5, m, 22, -3, 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4270 - 2529. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 228.034 to zero decimal places.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u + 75 = -14*k, 0 = -5*u - 2*k - 8220 + 8145 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 3996, 7992, 11988, 15984, 19980, 23976?\n\"Answer: 3996*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 676 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**2 + 4*v + 10. Let m(u) = -u - 3. Determine -14*m(l) - 4*s(l).\nAnswer: 4*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a = 118 - 132. Differentiate 0*f + 4*f - 4313 + 5*f**2 - 17*f**a + 4388 with respect to f.\nAnswer: -24*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 50\/(-20)*(66\/10 + -7). Let f = 358\/5 + -71. Which is the third smallest value?  (a) i  (b) f  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2011*g + 193050 = 971*g + 46932 for g.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j + n + 12, -5*j - 12 + 52 = -5*n. What is the third derivative of 12*c**4 + 12*c**2 - 8*c**4 + 11*c**4 - 2*c**j wrt c?\nAnswer: 312*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*h**2 + 116 + 119 - 237.\nAnswer: 5*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 2*w = 9025. Let v be w + -1 - (-2 - -3). Suppose 4*b = -2*f + 3604, 0 = -3*f + 2*f - 3*b + v. What is f rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -4*s + 20, 2*d - 12 = -2*s + 6*d. Solve 3*x + 18 + 3 = -5*q, 0 = -s*x - 2*q - 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*c**2*y**2 - 1108*c**2*y + 6*c*y**2 + 5*c*y - 158*y**2 wrt y?\nAnswer: -4*c**2 + 12*c - 316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 10*i - 31. Suppose -s - u - u + 58 = 0, -5*s + 272 = u. What is the remainder when s is divided by y(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 3 - 4)*(5*x + 0*x - x) + x - 2 + 2)*(0*x - 4*x + 5*x)*(0 + 9 - 3).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**2\/3 - 4*h - 13\/3.\nAnswer: (h - 13)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*o + p + 1 = 25*o, 0 = -2*o + 5*p - 12. Which is the third biggest value?  (a) 22  (b) 3\/13  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -118*i + 118*i - 8 - 16 = -6*v, 5*v - 21 = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**3 + 12*c**2 - 32*c + 8. Suppose z = 2*u - 13, 3*u = 21*z - 16*z + 9. Determine i(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8857621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -70342.21 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -640*q. Let u(z) = 1206*z**2. Give r(u(v)).\nAnswer: -771840*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*l = -3*f - 9*l, -6 = -4*f - l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1035368 divided by 22508\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 300 a factor of 2310683473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -223092\/13 + 17162. Put a, 3, 3\/23 in ascending order.\nAnswer: 3\/23, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 910100?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3 + -4)*(-2 - 3). Suppose 2*r + 3*r = -5*n + 100, b*n = -3*r + 56. What is the remainder when r is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-315)\/(-84))\/((-9)\/(-12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -907926*n**5 - 1808850*n**4 + 12738945*n**3\/2 - 3680745*n**2 + 56205*n\/2 - 54 = 0?\nAnswer: -4, 3\/778, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 4 = f + 9, 0 = 5*b - 4*f - 5. Find w, given that w**4 - 2*w + 82*w**5 + 6*w**3 - 46*w**b - 38*w**5 + w**2 = 0.\nAnswer: -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p\/(p**(1\/39)\/p)*p*(p\/(p*p*(p*p**(-24)*p)\/p))\/p assuming p is positive.\nAnswer: p**(935\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4 or -2762\/845?\nAnswer: -2762\/845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(660)\/(sqrt(12)*-2*-5)*1)\/((-5*sqrt(704)*1 - sqrt(704))*-1).\nAnswer: sqrt(5)\/480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -15034 - -15037. Which is the second biggest value?  (a) -2\/21  (b) -2\/13  (c) -1.9  (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 602900\/55 - (-20)\/110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 304 - 303. Let z(r) be the third derivative of -r**6\/720 + r**5\/120 + r**4\/12 - r**2. Let v(j) be the second derivative of z(j). Calculate v(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j - 2 - 57. Let x = -28 - j. Suppose -g - 3*r - x = 2*r, g - 2*r - 4 = 0. Which is greater: g or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(-4))\/(((-66)\/16)\/11)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 46*f**2 - 1 + 5.\nAnswer: -46*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rdlyqdmrydryrmqm. Give prob of picking 1 l and 2 d.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, l: 2}. What is prob of picking 1 w and 2 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-52 - -37 - (-3 - 6)) + -4 + 31\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 16 + 12 = 0. Is (194\/(-5))\/(l - 9\/(-5)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3598 greater than or equal to 3558?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i**3 - 52*i**2 - 1476*i - 81094. Determine z(-53).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 26574 - -8?\nAnswer: 26582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 2*o - 18 + 6, 4*o = g + 36. Suppose -5*s - o = -3*s. Let r = 0.05 + -0.1. Which is the closest to r?  (a) 3  (b) -0.1  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 5 = -j, 4*f = -4*j + 2*j - 10. Let w(c) = 2 + 306*c**3 + f - 307*c**3 + 4*c + 3*c**2. What is the tens digit of w(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the second derivative of -g**8\/47040 + g**7\/8820 - g**6\/5040 + 3*g**4\/4 + 77*g. Let f(n) be the third derivative of d(n). What is l in f(l) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 13 = 2*x - 3*t, 0 = -3*x + 3*t - 6. Let k = -92 + 131. Let z be (13\/k)\/((-17)\/(-3)). Is x at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**3 + 6*z**2 + 2*z - 9. Let n be 2 + (-3)\/(9\/(-12)). Let m be u(n). Suppose 2*a - 21 = m*x, x + 2 = -a - 0*x. Solve -3*q + 6 = -a for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1121187213 to the nearest integer?\nAnswer: 33484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -252 + 251. What is the closest to r in 1, 4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in j**2 + 27938922 + 5*j**2 - 27938922.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -240, 227, 1506, 4005, 8132, 14295, 22902?\n\"Answer: 68*z**3 - 2*z**2 - 3*z - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 3*p + 30 = 0. What is the units digit of (p\/(-5))\/(-1) - -135?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(1008)*1.\nAnswer: -4 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 1\/4, 3\/1496, -0.019 in increasing order.\nAnswer: -4, -0.019, 3\/1496, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -93 + 168b?\nAnswer: 15d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 4*s - 16. Suppose -l = -32 + s. Factor -l*d**3 - 5 + 20*d**3 - 2*d**5 + 4*d**4 + 5.\nAnswer: -2*d**3*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10 + 9. Let g be -194*u\/(-6)*3. What is the units digit of g\/(-3) - (-5)\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.07360324 take away 0.099096?\nAnswer: -0.17269924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 22 - 1541325?\nAnswer: -1541303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 2498, 2495, 2492, 2489, 2486, 2483?\n\"Answer: -3*i + 2501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 418 minutes before 7:19 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add -2.7072703 and -1.\nAnswer: -3.7072703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*u + 2*u + 2*u + (4 + 1 - 2)*(-4*u + 16*u + 0*u) + 0 + 0 - 2*u)*(u - 6*u + 0*u) as r*u + o + s*u**2 and give s.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -533134 - 4111*g + 533134 to t*g + h and give t.\nAnswer: -4111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**2 - 4*n + 7. Let i be q(-5). Let s be (-1)\/i*-4*(-6 + 10). Solve -4*z - 4*o - s = 0, 2*o = -z + 3*z + 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*c*h*x - 112*c*h + 413*c*x - c with respect to h.\nAnswer: 4*c*x - 112*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8?  (a) -1  (b) 2793  (c) 0.2  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**3 + 2*c**2 - 3*c. Let o(k) = -10*k**3 - 46*k**2 + 32*k - 2. Calculate -2*o(y) - 22*r(y).\nAnswer: -2*y**3 + 48*y**2 + 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 3*o + 4. Let j(i) = 3*i + 5. Let p(n) = -5*g(n) + 4*j(n). Let f(q) = -6*q. Determine f(p(h)).\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*r**3 + 5 + 9*r**3 - 4*r**3 - 3*r**3.\nAnswer: -5*r**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -489*p**2 - 416. Let f(g) = 19*g**2. Calculate z(f(c)).\nAnswer: -176529*c**4 - 416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4\/3  (b) -1\/9  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/47129124 and 37\/84.\nAnswer: 47129124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.8025 rounded to 1 dp?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 22289, 29091, 35893, 42695, 49497?\nAnswer: 56299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8474*w**4 - 683*w - 1 wrt w?\nAnswer: 101688*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 91.2 + 29.8. Let c = 120.9 - b. What is the closest to -0.1 in -1, c, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 144.7 - 144.2. Does 2 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/8?  (a) 0.2  (b) -8  (c) 1\/10  (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -10*g - 94. Let z be t(-9). Let x be ((7 - 4) + -24)*z\/3. Which is smaller: 30 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 1, -2, 5 in decreasing order.\nAnswer: 5, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -6*c + 12. Calculate the remainder when a(-7) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 83591062 to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the second derivative of -i - 19\/4*i**4 + 0*i**3 - 80*i**2 - 24. Differentiate k(o) wrt o.\nAnswer: -114*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9892 - 4008 - 2410 + 2*q + 21490.\nAnswer: 2*q + 24964","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1468, -296, -5.\nAnswer: -296, -5, 1468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 3, t: 8}. What is prob of picking 2 v?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -133*j - 85*j - 10*j = -29*j + 7562 for j.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -59544*i*q**2 - i*q - i - q**5 - 887*q - 13 wrt q.\nAnswer: -119088*i - 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) 1  (c) 0  (d) -2\/7  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 9501 or -10?\nAnswer: 9501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7213, -21319, -44813, -77695, -119965, -171623?\nAnswer: -232669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, 85, 126, 5 in ascending order.\nAnswer: 5, 12, 85, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 - -3. Let o = -6 + 3. Let m be 6\/9*(-18)\/(-4). Sort m, g, o in decreasing order.\nAnswer: m, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -16*l**2 + 12. Let h be (5 - 1) + 23 - 15. Let q(z) = -z**2 + 1. What is h*q(i) - w(i)?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -5*r + 2. Let s be 58\/1*r\/4. Find the common denominator of -1*(-2)\/((-22)\/s) and 21\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -774 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-640)\/(-14))\/(-8)*(-7)\/(-70)*35.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c*c**25*c*c**12*c*c*c*(c**(-41)*c)\/c**(-33\/7) assuming c is positive.\nAnswer: c**(47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/((-102)\/26 - -4). Suppose -d*y + 360 = -23*y. Calculate the common denominator of -31\/330 and y.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 + 33. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -62824*u**4 - 70*u + 12289080 wrt u.\nAnswer: -251296*u**3 - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by 200466\nAnswer: 5\/200466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16580*m**3 - 4*m + 113*m + 16582*m**3.\nAnswer: 2*m**3 + 109*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10756 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3*(-80)\/780)\/(1*2).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 8*s**3 - 8*s**2 - 8*s. Let r(n) = -n**2 - n. Let g be (2 + -1)\/(((-7)\/(-1))\/(-7)). Suppose 2 = 5*c - 38. Give c*r(o) + g*j(o).\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 24283.4488 rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -33\/115 + -7753\/1035. What is the common denominator of ((-30)\/8)\/(27\/16) and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 34 = 2*o, -4*o = 6*d - 2*d + 32. Let u = 7 + d. Let p = u + 5. Solve 6*x - x = -2*c - 14, p*x = -4*c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 11) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 727466 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 32668 - 32659. Solve 35*r = i*r - 182 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - h + 12 = 0, 76 = 4*m - 6*h + 3*h. Suppose 23 = 2*r + p, 3*r = 5*p - 0*p + 54. What is the lowest common multiple of r and m?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56423.\nAnswer: 17, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 143?  (a) -0.1  (b) -54  (c) -4\/7  (d) 2  (e) 16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1487575356.\nAnswer: 2, 3, 643, 192791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*o - 154*o + 2916 = 2*o for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 12, -2, 9, 5, 8 in decreasing order.\nAnswer: 12, 9, 8, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.10117 - 2.89883. Let z = 0.3 + 15.7. Which is the third biggest value?  (a) w  (b) 1\/3  (c) 1\/4  (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**2 - 4*f - 3. Let v be u(-1). Suppose 8 = 2*c + n, -7*c + v*c = -2*n - 11. Let j(b) be the first derivative of b**2 - 3*b - 1. Give j(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 3*l**3 - 26*l**2 - 15*l + 3. Let x(k) = 9*k**3 - 87*k**2 - 46*k + 10. Calculate 13*g(q) - 4*x(q).\nAnswer: 3*q**3 + 10*q**2 - 11*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 467\/10 + (-165)\/(-550). Which is bigger: x or -0.17?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 17035038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/4 or -5\/1727896?\nAnswer: -5\/1727896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -192*h + 1341. Calculate the lowest common multiple of i(6) and 270.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z - 9*z = 4*p + 160, -3*p = -12. Let l = z - -111. Solve -5*f + f - 3*j = l, 5*f + 26 = -j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-76352)\/(-14) - 28\/(-98). Let i be 159\/9*(-54)\/(-3). Suppose -2*h - 1416 = o - i, -n = 5*o + h. What is o rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v - 6. Let x be k(-10). Suppose 54 = x*l - 14. Let y = l - 8. Solve 5*p = y - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**3 - 22*c**2 + 38*c + 42. Let g be m(20). Let x(d) = d**2 - 7*d**2 - 3*d**g + 8*d**2. Let z(v) = -20*v**2. Give z(x(y)).\nAnswer: -20*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -i + 16, 0*q + 38 = 3*q - 2*i. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pdgd. What is prob of picking 1 g and 2 d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000821123986 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11.285 + -0.185. Let b = 1013 - 1023.53. Let q = w + b. Round q to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 4:13 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 - (0\/3 - 0). Let z = 13 + g. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -201 divided by -3?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-2)\/10*42)\/((-3)\/10).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -95 = 5*n - 3*k, -3*k + 19 + 25 = -3*n - 7 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*t + 2 - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 194599805 a multiple of 513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 7*d = 2*g + 4, 5*d + 36 = 4*g. Let f(s) = -5*s + 4*s**2 - s**2 + 5 - 2*s**2. Determine f(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (10\/(-105))\/(10*((-44052)\/(-7335) + -6)). Which is bigger: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, i: 1, k: 1, x: 2, u: 1, d: 1}. What is prob of sequence lk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*f + 7245 = 4*f. Let c = f + 1227. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hqq when three letters picked without replacement from hzrrzzqjqxhr.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 28 = 8. Let x = -25 - d. Suppose x*h - 13*h = -8. Solve j + 8 = -4*n - 3*j, h*j + 16 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**3 + 5*g**2 - 7*g + 4. What is u(-7)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 29543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4935 is divided by 2386.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/16 of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 6*j + 420 = 0. Let v be ((-31)\/7 + 1)\/(12\/j). Calculate the greatest common factor of 156 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 57, 48, 41, 42, 57?\n\"Answer: n**3 - 5*n**2 - n + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:40 AM and 2:55 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 90 and 1677276?\nAnswer: 8386380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 4*l**2 - 267*l - 63. What is x(67)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in -1, -0.12, 2\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -6*j + 17. Let g(t) = t**2 + 19*t + 88. What is the remainder when c(-18) is divided by g(-14)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3.846 - 0.154. Which is the smallest value?  (a) g  (b) -8\/3  (c) 3  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + p - 33 = 0, -6*p = 5*y - 2*p - 62. Suppose -m + y = m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1\/520 - -31753\/17160. Calculate the common denominator of b and 5\/(-2)*(-66)\/(-27).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5\/83, -0.46, 0.5, 0.02?\nAnswer: 5\/83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of -31 - (-7 + (-1 - (5 - 10 - 3)))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -85572 divided by -4\nAnswer: 21393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/(42\/(-4)) - 96\/56. Let s be 7\/14 - -1545*l\/(-4). Suppose 5*g = 4*u + 3930 + s, -5*u + 3787 = 4*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:31 PM and 3:09 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12 + 21. Let w = -4 + x. Let h = w - 5.02. Which is the third smallest value?  (a) -5  (b) -1  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53737.\nAnswer: 17, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the third derivative of q**8\/168 + 11*q**7\/105 + 23*q**6\/30 + 3*q**5 + 27*q**4\/4 + 9*q**3 + 12*q**2. Determine u so that r(u) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -31, -28, -15, 14, 65, 144?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*w - 6 + 6 + 23*w to k*w + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n = 3*x, -5*x + 4*x + 4 = -n for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3012*217\/279 + 1\/3. Is v not equal to 2343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 41 - 117. Let l(o) = -4*o**2 - 75*o + 17. Let r be l(q). Sort 6, -5, 1, r.\nAnswer: -5, r, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbzbbsbsszzzsbszzzsl. What is prob of picking 3 s?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**3 - 7*l**2 - 6*l + 2. Let q be c(-6). Solve 16 + 11*u**3 - 198*u**4 + 55*u**3 + 74*u**3 + 60*u**q - 80*u + 84*u**5 - 22*u**4 = 0.\nAnswer: -2\/3, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 63761?\nAnswer: 63761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z - 17 = -l, 2*l - 5247 = -5*z - 5273 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - ((11 - -15 - 25) + -1 + 15 - -9).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 459315 divided by 51035?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.5  (b) 2\/91  (c) 0.3  (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 52, 16, -25, 12, 3 in decreasing order.\nAnswer: 52, 16, 12, 3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.9, -0.06, -6, 1\/53?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x + x. Suppose 3*q + 8 - 35 = x. Let u(l) = -38*l + 1335. Let g be u(33). What is the highest common factor of q and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22 (base 5) to base 3.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 204513.74 - -2.\nAnswer: 204515.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 78 and 904878.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-8 - 2)*2\/4. Let f = -1 - k. Put -3, f, -5 in descending order.\nAnswer: f, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2558, -5121, -7686, -10253, -12822, -15393, -17966?\nAnswer: -20541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the first derivative of -s**2\/2 - 7. Let k(l) = -8*l + 1. Calculate -5*f(w) + k(w).\nAnswer: -3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -128028605 minus 0.5?\nAnswer: -128028605.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + u = 6. Suppose -2*r + 4*b = 119 + 3, 0 = -u*r + b - 119. Let f = -34 - r. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 55538, 0, 1\/4, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1\/5, -2, 449?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 187 = d, 2*h + d - 581 = 5*h. Let b = -68 - -64. What are the prime factors of 1\/3*h\/b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 32*m**2 + 813964 - 2*m - 2*m - 813981 + 5*m. What is j(0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the first derivative of -8*k**5\/25 + k**4\/10 + 8*k**3\/15 - k**2\/5 - 1. Determine m, given that u(m) = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3214 and 21792527?\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*q**3 - 727*q**2 + 11308*q?\nAnswer: -18*q - 1454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -639, -664, -689, -714?\nAnswer: -739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the first derivative of i**4 - 112*i**3\/3 + 54*i**2 - 544. Factor d(n).\nAnswer: 4*n*(n - 27)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -5, 1\/4, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4713452 - 42004112 - 4706074 = -98*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1347.1474 + -1352.9. Let l = v + 5.8. Round l to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3690 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Do -7\/89098 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 5*y = 225, -4*d + 8*d - 816 = -y. What is the units digit of 10\/(-10)*d\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-3 + sqrt(13)*1) - -2*(0 + -1*sqrt(13)))**2.\nAnswer: -144*sqrt(13) + 532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -24 - -36. Suppose -w*n + 5*n + 280 = 0. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**3 - 15*r**2 - 9*r - 50. What is g(16)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times 44.2?\nAnswer: -4.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 376 and 88?\nAnswer: 4136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 9, 3, 256, 0.1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (63*g + 74*g - 40*g)*(-1 + 1 - 1)*(-4*g + 3*g + 2*g) to l*g + u*g**2 + p and give u.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1014083 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from awas. Give prob of picking 2 s and 2 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**4\/s**(1\/2))\/(s**(2\/9)\/s**(-1\/2)) assuming s is positive.\nAnswer: s**(25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 234.94 rounded to the nearest 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 8*p**3 + p**2 - 3*p + 1. Let m be t(2). Let j be 140\/m - 8\/12*3. Factor -2\/9*y**2 + 2\/9*y + 2\/9 - j*y**3.\nAnswer: -2*(y - 1)*(y + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 5\/4 of a week?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70)\/sqrt(5)*1 + sqrt(14))\/(sqrt(2) - sqrt(2)*-1*-5).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hf when two letters picked without replacement from {f: 5, z: 3, h: 5}?\nAnswer: 25\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-125)\/150)\/((-2)\/12). Suppose -2*s + 3*t = -3928, -t - 9801 = -j*s - 3*t. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*((sqrt(156) - (4*sqrt(156)*1 + sqrt(156))) + sqrt(156))*1)\/((sqrt(132) - 3*(sqrt(132) + 2*sqrt(132)))\/((2*sqrt(99))\/sqrt(9))) + -3)**2.\nAnswer: 9*sqrt(13)\/2 + 261\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = 3*x - 3696, -h + 8*x - 6*x + 1232 = 0. Suppose -16*i = -5*i - h. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 22\/9?  (a) -6  (b) 14  (c) 13.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(4 + (-76)\/20). Suppose -k*i - 2728 = -u, -4*i + 2*u + 2*u = 2176. Calculate the common denominator of 293\/i + 6\/(-39) and -39\/22.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16 (base 7) to base 9\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 973311.\nAnswer: 3, 324437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55*a**3 + 23*a**3 - 42*a**3 + 23*a**3.\nAnswer: 59*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1040 at most as big as 1038?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1847296 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/18942 and 87\/182?\nAnswer: 246246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 248448251?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t + 0*k = -4*k - 15, -2*k = 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 32 - -19. Suppose 2*f = -9 + l. Let x be (-2)\/3*(-9)\/f. What is the third smallest value in -1, 4, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the second derivative of x**4\/20 + x**3\/10 - 3*x**2\/5 + 2*x. Let c(v) = 0. Calculate v.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7.5 + -30.5. What is the closest to 1 in -2, d, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25557c (base 13) in base 10?\nAnswer: 897324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 27175, 27176, 27177, 27178, 27179?\n\"Answer: c + 27174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4.112 and 1.7.\nAnswer: 6.9904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 228 - 231.04. Let c = p + -94.96. Sort 0.3, c, -0.5 in ascending order.\nAnswer: c, -0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.96855032 to 4 dps.\nAnswer: 4.9686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-7 + -1)\/((-20)\/10). Solve 15 = c + x*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(252) + 1) + sqrt(252))**2 - (0 + sqrt(1008))*6.\nAnswer: 168*sqrt(7) + 6316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 28\/(-63)*(-3)\/2. Let s = -1856 - -1860. Which is the third smallest value?  (a) s  (b) 8  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a + 9. Let v(q) = -2*q**2 - q - 2. What is -u(s) - 4*v(s)?\nAnswer: 8*s**2 + 5*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.8 in -0.1, 3, -3\/35?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r*(r*r*r**5*r*r)\/r*r**(-13)*r assuming r is positive.\nAnswer: r**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j*j**(5\/7)*j*j*j**21\/j assuming j is positive.\nAnswer: j**(166\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from prdpdndnpndndpp. What is prob of sequence dnr?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -114*z - 60. Suppose 0 = -21*w + 8*w - 52. Is g(w) a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9432273?\nAnswer: 3, 3144091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1.412 * 4\nAnswer: -5.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2482.065 + 2477. Let b = 0.065 + m. Let k = 0.6 - -1.4. What is the biggest value in b, 2\/5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12, 5, 56, 159, 332, 593?\nAnswer: 960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u = 104 - 48. Let x be (30\/(-4))\/(-5)*u\/4. Solve x*b - 5*z + 35 - 6 = 0, 5*z - 20 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 161 + -143. Suppose -68*l + 54 = -67*l. Calculate the greatest common factor of k and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 2*b**3 + 3*b**2 - b + 14. Calculate the remainder when 55 is divided by u(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 4*i**2. Let b(j) = -10*j**2 + 32*j**2 - 23*j**2 - 14*j**2. Determine o(b(w)).\nAnswer: 900*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5317*s**4 + 13491*s**3 + 3058*s + 9433 wrt s?\nAnswer: -63804*s**2 + 80946*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2407*f + 2409*f + 18 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 - 647348438?\nAnswer: -647347985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.0612352 * -59\nAnswer: -3.6128768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes before 5:53 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o - 4*o - 2*o + (0 - 1 - 1)*(3 - 3 + 3*o) + 2*o - 2*o - o + o - 874 + 7*o + 876)*(-2 + 7 - 3)*(-o**4 + 2*o**3 - 2*o**3).\nAnswer: 6*o**5 - 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 9*u + 9. Let l = 12 - 12. Let c be w(l). Let s = 12 - 6. What is the greatest common factor of c and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 47 - -396?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - 1) + -22 + 18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p = -2*b + 6, 0*b + 4*p = 4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(84) + (sqrt(84) - (-6*(sqrt(84) + sqrt(84)*2 + sqrt(84)) + sqrt(84))))\/sqrt(12)*-3*-4.\nAnswer: -1200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -481*l = -487*l + 648. What is the smallest common multiple of 16 and l?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 318465133.\nAnswer: 7, 45495019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(5 + ((sqrt(36)*-2)\/sqrt(12) - sqrt(3)) + 3))**2.\nAnswer: -48*sqrt(3) + 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1476 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((a**(2\/95)*a)\/a)\/a*a)\/a**(-22))\/(a**(-35)*a*a**(1\/5)\/a))**(-6\/5) assuming a is positive.\nAnswer: a**(-32388\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000004802 rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 287*f + 5*p = 257*f + 75, 4*f - 4*p - 24 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = d - 4*g + 40400000, -2*d = -5*g + 20200000. What is d rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -91 + 94. Is y*(-1)\/(-6) - (-999)\/54 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 568*x + 67*x + 16184 = 159*x for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/(2\/8 + 0). Let d be -10 - -38*4\/4. Suppose 5*i = t*q - 111, -10 = q + 2*i - d. Calculate the least common multiple of q and 33.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -58525336*b**3 + 6*b**2 + 3*b - 152262?\nAnswer: -351152016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -31.8, -3\/2, -1\/6, -0.7, 1?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6130, -15519, -24908, -34297, -43686?\nAnswer: -53075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -252, -502, -754, -1008, -1264?\n\"Answer: -t**2 - 247*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-34)\/306*45*(-1)\/(10\/146)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -6, 1, 0.3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-126 - -119) + (39 - -6)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13 + -12.84. Let b = 0.06 - q. What is the second smallest value in 5, 0.5, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**11*l*l*l**4*l*(l\/(l*l*l**3*l))\/(l**5*l) assuming l is positive.\nAnswer: l**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1\/(-3))\/((-1)\/6). Suppose -f + 4 = h. Let s be (f*-1 - -3)*-1. What is the nearest to s in 4\/5, -4, 4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 120 and 99030?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 97850 and 33560?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 2 + 1 - 2. Let l(m) = m**2 + 1. Suppose f + 20 = -3*n, 0 = -3*f + n - 6*n - 60. Let g be 10\/(-4)*8\/f. Give g*l(x) - j(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -147 - 83566?\nAnswer: -83713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -16 - -21. Solve -b*h + 3*h = -4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -55 + 56. Calculate the highest common divisor of q and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -15445384, -15445389, -15445406, -15445441, -15445500?\n\"Answer: -a**3 + 2*a - 15445385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 136 + -134. Find the third derivative of -14*p**3 - 8*p**3 + 22*p**3 - 19*p**5 + 21*p**d wrt p.\nAnswer: -1140*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ee9d4 (base 16) to base 8\nAnswer: 3564724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -206 = 52*f - i + 3*i, -7*f - 240*i + 238*i - 10 = -4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4572?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 140 - 80. Suppose 5*w - 65 - v = 0. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*v**2 + v - v + 0*v**2 - v**2 - 6*v**2 + (-v + 5*v - 2*v)*(1 + 2*v - 1) - 2*v**2 + 0*v**2 - v**2 as j*v**2 + k*v + z and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*t**3 + 2*t**3 + 0*t**3 + (-4 - 6 + 2)*(16*t**3 - 3*t**3 + 17*t**3) + 14*t + 9*t**3 - 14*t to s*t + c*t**2 + j + p*t**3 and give p.\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, b: 4}. What is prob of sequence jb?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (5 - 3 - -8 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -24*t + 123. Suppose 0 = 73*v - 79*v - 48. Does 45 divide h(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7279, 414, -2, 4 in decreasing order.\nAnswer: 7279, 414, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13745 divided by 158.\nAnswer: -13745\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1104328, 1104275, 1104222, 1104169, 1104116, 1104063?\nAnswer: 1104010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -100613637, -201227269, -301840897, -402454521?\n\"Answer: 2*w**2 - 100613638*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4\/15 - 2\/5. Let z = 4 - 7. Let u = -211\/210 - -11\/10. What is the nearest to u in 0.3, f, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(1700) - sqrt(1700)) + -4 + 1*(sqrt(17) + ((-2*sqrt(187))\/sqrt(11))**2) - (-6*(sqrt(612) + 0 + 3 + sqrt(119)\/sqrt(7)))**2.\nAnswer: -30248 - 1531*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -848, -3, -4 in increasing order.\nAnswer: -848, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.2025 and -117973400.\nAnswer: -117973400.2025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-123 - -155) + -2 + 6 + -13.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*m**4 + 4*m**3 + m**3 - 4*m**3 - 2 + 1 + 20*m**2 to t*m**3 + j*m**4 + a*m**2 + r + v*m and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z + 69. Let x be y(-14). Suppose x - 70 = 5*k. Let u(t) be the first derivative of -7*t**2\/2 - 2*t - 2. Determine u(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1534 and 104.\nAnswer: 6136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 9511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -2*z**4\/17 - 1860*z**3\/17 - 576600*z**2\/17 - 59582000*z\/17 = 0.\nAnswer: -310, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 1313 - 1308 = 0. Let w be 16*(-30)\/12*2\/x. Let a(y) = -2*y + 21. What is a(w)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - 3 - (-7 - -4 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6136496909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37170878?\nAnswer: 2, 19, 978181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 36969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 540777651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -39059, -57971, -76881, -95789, -114695, -133599?\nAnswer: -152501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*sqrt(162)*1)**2 - (2 + (2 + sqrt(162))**2) - (sqrt(176)\/sqrt(72) + sqrt(22) + sqrt(22))\/(1*sqrt(704))) + 3.\nAnswer: -871*sqrt(2)\/24 + 3885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11422936.\nAnswer: 2, 7, 37, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 5*q**2 - 228*q - 731. Give k(48).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -b + -c17?\nAnswer: -c25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**2 - 5*z - 2. Let y be m(6). Suppose -1 = -y*r + 11. Let a be (-12)\/16*(-1 - r). Solve -t + 3 = -a*v + 14, -t = -2*v + 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3 + 0 + (-2 - 0). Let l(f) = q - 5*f**2 + 6*f**2 + 2*f - 6. What is the remainder when 4 is divided by l(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nwwvnwvvvwv. What is prob of picking 1 v and 2 w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*3*(600\/(-96))\/(-25).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 903506*x = -4*y + 903499*x - 98 - 90, -3*y - x - 39 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.48 + 1.98. Let z(j) = j**2 + 33*j - 846. Let n be z(-50). Sort -2, n, 0, m in decreasing order.\nAnswer: n, 0, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8696 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 705005774 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -52, 1\/31 in decreasing order.\nAnswer: 1, 1\/31, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -825, -1401, -2361, -3705, -5433, -7545, -10041?\nAnswer: -12921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 3*r**2. Let i(d) = -176253*d**2. Give x(i(s)).\nAnswer: 93195360027*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 261\/(-116)*4\/(-3). Determine z, given that 10\/7*z - 4\/7 - 8\/7*z**2 + 2\/7*z**k = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(171) + sqrt(171) + 0)**2 + 2 + (sqrt(171) + 2 + sqrt(171))**2 - (2 + 2 + sqrt(171) + 1 + sqrt(171) + sqrt(171) + 2)**2) + -2.\nAnswer: -102*sqrt(19) - 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 4*m**3 + 26*m**2 + 6*m + 16. Let z(f) = -f**3 - 5*f**2 - f - 3. Suppose 0 = 5*n - 5*t + 55, -4*t - 43 = 3*n - 5*t. Give n*z(k) - 3*x(k).\nAnswer: 4*k**3 + 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9990, 10559, 11128, 11697, 12266?\nAnswer: 12835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18*4.1081.\nAnswer: 73.9458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1475203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-8)\/(-3) - (-3)\/9. Suppose -r*q - 4 = -5*q. Let s be (q + 0)\/1 - 2100002. Round s to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1110113 (base 4) in base 11?\nAnswer: 4069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7305.973 + -7328. What is l rounded to one dp?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:44 AM and 3:56 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 1 - 6. Suppose v*g - 3*g = -8. Let p be (-4)\/(-14) - 1\/(7\/58). Sort -5, p, g in ascending order.\nAnswer: p, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**2 - 8*v + 8. Let g be s(-7). Factor -6*i**4 + 27*i**4 - 27*i**2 + 4 - 15*i**3 + 2 + g*i.\nAnswer: 3*(i - 1)**2*(i + 1)*(7*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*d - 59*d = -3*k - 202, k - 106 = -2*d. Solve -51*g + d*g = 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f = -14*q - 17930 + 17375, -3*q - 2*q + 5*f - 205 = 0 for q.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 2 q when three letters picked without replacement from {z: 11, q: 9}?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 66048 and 83168?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -8 - 2*i + 14 + 16. Let j be s(14). Let g(m) = 2*m**3 + 13*m**2 - 4*m. Is 6 a factor of g(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 v when two letters picked without replacement from kkkkivzcckvkqzk.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11026425 by -1.\nAnswer: 11026425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 46234.878 rounded to the nearest one thousand?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a day in minutes?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(88)*2 + sqrt(88))*-6 - sqrt(88))\/(-1*sqrt(200)).\nAnswer: 19*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*t + 2*t + 4*t)*(0*t**3 - 4*t**3 + 2*t**3) + 0*t - t**4 + 0*t + (-4*t**3 - 3*t**3 + 6*t**3)*(0*t + 0*t - 2*t) + 4*t**4 + 3*t**3 - 3*t**3.\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3031 by 3031.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the third derivative of k**6\/120 + 13*k**5\/60 + 11*k**4\/24 + k**3\/6 - k**2. Let g be l(-12). Calculate the greatest common factor of g and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 1 - -3 - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 527614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(((-297)\/(-5940))\/(1\/(-4)))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 20084040089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n**3\/4 - 18*n**2 - 351*n\/4 + 105 = 0. Calculate n.\nAnswer: -5, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 284625957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 2 k when three letters picked without replacement from iibvpkikiiib.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the third derivative of y**5\/60 + y**4\/4 + y**3\/2 - 120*y**2 + 2*y. Let r(a) = a**3 + 5*a**2 - 5*a. Let z be r(-6). Determine l(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**2 - 379930*m - 1139808.\nAnswer: 2*(m - 189968)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10055*u**2 + 6868*u**2 - 3 + 3 - 17040*u**2.\nAnswer: -117*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**3 + l**2 + 5*l + 7. Let h be v(5). Let y be 682\/(-21)*(-308)\/55. Let w = y - h. What is the nearest to -1\/3 in w, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2799076.\nAnswer: 2, 7, 14281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 161268 and 4353702.\nAnswer: 1314818004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - l = o + 108, l = 4*o - 30. Let n = -12 - l. Let w(q) = 2*q**2 - 5*q + 4. What is the remainder when w(-3) is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9246215*p**2 - 2*p - 1070308?\nAnswer: 18492430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -403, -1291, -2757, -4789, -7375?\nAnswer: -10503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/161)\/3*9\/(-12)*(-231)\/(-198)?\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 641 minutes before 7:15 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(1\/2)\/w**(2\/49))\/(w**(-30)\/w*w**23) assuming w is positive.\nAnswer: w**(829\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -223 - -193. List the prime factors of 866 - (-6)\/(w\/35).\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the third derivative of -29*s**7\/2520 + 77*s**6\/720 + 7*s**5\/30 + s**2 + 11*s. Let c(p) be the third derivative of z(p). Differentiate c(b) wrt b.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the third derivative of a**6\/120 - 3*a**5\/20 - a**4\/24 + 2*a**3 - 182*a**2. Suppose 0*n - 3*r = -n + 15, 5*n = -3*r + 39. Does 3 divide t(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1722259 by 104.\nAnswer: -1722259\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 6615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*w - 5*w - w**3 + (4*w**2 + 2*w**2 - 5*w**2)*(-2*w + 0*w + 0*w) - 3*w**3 + w**3 + 3*w**3 - 15*w**3 + 1 + 2 + 10*w**3.\nAnswer: -7*w**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 25*t**2 + 5 - 8*t**2 - 10*t - 16*t**2. Calculate d(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1172 and 884567?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 2)*(-4 + 4 + 2*j) - 4*j - 8*j - 3*j.\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 274 or 595?\nAnswer: 274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = c + 2*q - 9, -3*c = -33*q + 28*q - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -910 divided by 4.\nAnswer: -455\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 - c**2 - 4 + (2 + 2*c - 2)*(4*c - 2*c - 3*c) + 51 + 14*c**2 - 50 - c**2.\nAnswer: 10*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10787 is divided by 186?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 3*c - c. Suppose -3*d - c = -d. Let f(r) = 2*r**2 + 111*r + 682. Let t be f(-7). What is the biggest value in -3\/4, d, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3660\/(-40))\/((-84)\/8)*(-7)\/(-1)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f**2 - f**2 + 2*f**3)*(6*f**2 + 8*f**2 - 15*f**2 - 9).\nAnswer: -2*f**5 - 18*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 75288 or 75801?\nAnswer: 75288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 1\/3  (b) -3\/224  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -144836.\nAnswer: 5\/144836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/5*(-15)\/(-3))\/6.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2.508 and -3.6?\nAnswer: 9.0288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*r**4 - 1568*r**3 - 4*r**2 + 1568*r.\nAnswer: 4*r*(r - 392)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 + -4. Let u be 52\/12 - o\/3. Suppose 4*r + 4*f - 28 = 0, -4*r - r + u = -5*f. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -4*d + 418. Does 19 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3 - -1)*(-1)\/2. Suppose -2 = f - a. Put 0, 3, f in decreasing order.\nAnswer: 3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 124 + -70. Let s = -42 + t. Calculate the remainder when s is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 170114388 and 1854.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2010 - -122021022?\nAnswer: 122012012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 4\/3, 2, -0.18372, 6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -248 + 357. Let a = 109.00177 - n. Round a to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -211.759 - -1.359. Let p = 211 + g. Let o = -5 - -5. What is the fourth smallest value in o, p, 1, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h = t - 32, 5*h - 194 + 137 = 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -3*k + 4*k + 4, 0 = -5*n - 15. Let o be (-113)\/(-4) - (6 + 81\/(-12)). Suppose -k*q + 3*u + o = 0, u - 6*u = 5*q - 85. Does 16 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 8*j + 524. Calculate the remainder when t(-12) is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pppnpppppnttppppnt. Give prob of picking 3 t and 1 p.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m - 514 - 1262. Is 2\/(-6) + m*28\/(-63) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express q + q**2 - 112*q**3 + q**4 + 3 + 111*q**3 + 0*q**2 as l*q + z*q**3 + n*q**4 + b*q**2 + x and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 299 = 4*k + 143, 0 = -5*r - k + 1050. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 27318559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-30)\/(-120)*32\/(-1464). Suppose 5*z - 22 = 23. Let v = -10 + z. Is v less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**2. Let b(c) = 414*c + 46. Let w(f) = -46*f - 5. Let y(n) = -5*b(n) - 46*w(n). Calculate y(m(i)).\nAnswer: -46*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**3 + 4*v**2 - 2*v - 1. Let a(c) = -5*c - 2. Let h be a(-1). Let q(z) = -21*z**h + 45 - 11*z + 21*z**2 - 51 + 15*z**3. Determine 11*i(u) - 2*q(u).\nAnswer: u**3 + 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*a - 3*a + 2*a**2)*(-142*a + 0*a + 12*a) + (4*a + 3*a - 6*a)*(2*a**2 - 6*a**2 + a**2).\nAnswer: -263*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -11270, -11214, -11112, -10964, -10770?\n\"Answer: 23*n**2 - 13*n - 11280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 148*a + 1164 = 258 - 130 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -202483 by -516.\nAnswer: 202483\/516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1671*d**2 - 879*d + 792 = 0.\nAnswer: -1, 264\/557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 31 and 5053651?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h + 4. Suppose 12 = m + 2. Let c be m\/3 + 2\/3. Suppose 3 = -5*q + c*q. Give b(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55\/2 of a century in years?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*c**2 + 59*c**2 - 15*c**2 - 15*c**2 - 10*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 143124891.74096 plus -1.5?\nAnswer: 143124890.24096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (702\/(-63))\/26*(-30)\/6.\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -69, 231\/5, 3.1, 0.3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -18*n + 13*n - 5*n**4 - 7*n**4 wrt n.\nAnswer: -144*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 - -5. Let g(z) = -z**3 + 3*z**2 - 2*z - 4. Let w be g(o). Let s(t) = 2*t**2 - 2*t - 9. Is s(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 358721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3338 - -10018\/3. Let d = 133.2 - 133. What is the closest to -3 in i, d, -15, 1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*sqrt(15)\/(1*sqrt(12)\/sqrt(4)).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 44700 and 13740?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 13*y - 2. Let o be k(-1). Let z be (16\/10)\/((-1)\/o). Let g be (-110)\/(-9) - 4\/18. What is the highest common divisor of g and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2*(4 + 2)*(6 - 2). Let h = -46 - k. Suppose -h*d + 213 = -7. Calculate the highest common divisor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 333210748?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**3 - 3*b**2 + 5*b - 4. Let c be t(2). Solve 0 = a - c*d + 3, 3*a + 14 = 3*d - 2*d for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -2\/3, -68, -2\/15.\nAnswer: -68, -2\/3, -2\/15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 58903 is divided by 74.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 317573.\nAnswer: 227, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 22 + 10 = 0. Suppose -x + 4*g + 9 = g, -3 = t*g. Calculate the lowest common multiple of x and (3\/18 + (-17)\/30)*-55.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24248901.\nAnswer: 3, 29, 167, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 + -2 + -21 + (-1 - -30)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -23 + 2742?\nAnswer: 2717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 14*u**3 - 17*u**3 + 9*u**3 + (-99 + 7*u + 99)*(2*u - 2*u + 3*u**2) + 3*u - 3*u - u**3 + (-2 + 2 - 2)*(3*u**2 - 2*u**3 - 3*u**2).\nAnswer: 30*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 5 - 3 = 0. Suppose 20 = -5*u, -g + 2*u - 6 = -k*g. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-30)\/(-25)*(0 + 400\/(-6)). Let s = 197 + j. Is 52 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = 3*f - 11 - 52, 2*f + 60 = 4*z. Solve o - 35*j = -37*j + 1, 0 = 5*o + 4*j - z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 64 + -108. What are the prime factors of c\/(-12) - 4\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -6*d*i**2 + d*i + 298*d - 19*i**3 wrt i?\nAnswer: -12*d*i + d - 57*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 27*m**2 - 2648*m - 6. Let u(q) = -2*q**2. Give c(u(w)).\nAnswer: 108*w**4 + 5296*w**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 14954 - 14952. Let p = 0.92 + 0.08. Let o = 51\/20 - 7\/4. What is the closest to c in o, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 8 + m**3 + 12 + 13*m - 3 + 12*m**2. Let g be c(-11). Is (g\/10)\/((-1)\/68) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 298, 322, 370, 448, 562, 718, 922?\nAnswer: 1180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-9 + 64 - 12) + -15 - -3\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 21459057 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*t - 3*t + 4*t)*(2 - 5 - 4)*(3*t - 3*t - t) as b*t + h + r*t**2 and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/2)\/(-2)*-10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 6744*s**2 + 20229*s - 9. What is t(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111100111101001010 (base 2) to base 5.\nAnswer: 30442144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(72) + sqrt(72) + 2 + sqrt(72) + -4 + -3) + (-2*(-3 + sqrt(72)) - -4*(sqrt(72) + 2)))**2.\nAnswer: -1008*sqrt(2) + 14148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*x**3 - 4*x**2 + 14*x**3 + 4*x**2.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 38121823 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81 = -8*j - 9. Calculate the remainder when 37 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2442830.0341 + -2588248.486. Let r = o - -145368.45190164. Let v = -50 - r. Round v to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/45)\/(1\/((-4)\/(-2)))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**3 + 2*g**2 + 3*g + 2. Let j be v(-1). Suppose 5*y = -o + 80, j = 3*o + 4*y - 186 - 76. Does 21 divide -4 + o + (0 - 0) - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (27 - 38) + 13 + (1 - -6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the third derivative of m**8\/336 + m**7\/21 + 19*m**6\/60 + 17*m**5\/15 + 19*m**4\/8 + 3*m**3 + 23*m**2 - 2*m. Factor t(z).\nAnswer: (z + 1)**2*(z + 2)*(z + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/(-4)*(-1770)\/1593?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:36 PM and 6:31 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -611db + 26?\nAnswer: -611b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 4*r**2. Let y(g) = -46 + 46 - 2*g**2. Determine y(v(j)).\nAnswer: -32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - y = -3, -13 = 4*x - 4*y - 1. Calculate the common denominator of -149\/6 and (-155)\/102 - x*(-7)\/(-14).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -422 (base 9) to base 13\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/10)\/(-1*(-8)\/(-20))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u*u\/(u**13\/u)))\/(u*u**(-13))*u**(-12\/7)*u**(-1\/18) assuming u is positive.\nAnswer: u**(2675\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/(15\/(-26)) - (139 + -147)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4 - 20 - 84*c**3 + 25 + 8*c wrt c?\nAnswer: -504*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 632 and 15958?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2946 is divided by 723?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 43, 46, 47, 46, 43, 38, 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 4, t: 1, c: 6}. Give prob of sequence tccc.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -27.5391 from 0.27.\nAnswer: 27.8091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 685\/26 + -53\/2. Let a(d) be the first derivative of d**3\/3 - 5*d**2 - 14*d - 147. Let j be a(11). Sort 1\/3, x, j.\nAnswer: j, x, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1238015 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 60431679 by 231.\nAnswer: 261609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 32*c**2 - 4*c + 7. Let q(i) = 30*i**2 - 4*i + 8. Let n(v) = 7*g(v) - 6*q(v). Find the second derivative of n(r) wrt r.\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 538473 (base 9) in base 3?\nAnswer: 121022112110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 35097 + -34472. Solve -3*k - 609 = c - a, k + c = 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5 - -9. Let x(m) = 2*m**2 - 7*m + 4. What is x(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -202266, -404382, -606498, -808614, -1010730?\nAnswer: -1212846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ydy when three letters picked without replacement from ddddddydyydddd?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 3359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (((-16)\/(-10))\/(7\/35))\/2. Suppose -y*r = -3*v - r + 276, -v = 2*r - 86. Let z = v - 96. Is -46\/7 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4530912214 to the power of 1\/5, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 10226\/5 + -5 + 12\/15 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the first derivative of 19*d**5\/15 + 23*d**4\/6 - 91*d**3\/3 - d**2\/2 + 93. Let q(r) be the third derivative of u(r). Differentiate q(n) wrt n.\nAnswer: 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 2*r**2 - 3*r - 2. Let l(j) = -2*j**3 - j. Let o be l(-1). Let t(i) = 3*i - 5. Let d be t(o). Calculate a(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 255909 divided by -255909.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j + 3. Let i be s(12). Suppose -6*z + i*z = 549. List the prime factors of z.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/(22\/34) - 1. Let a = -126.9 - -128.9. What is the smallest value in a, 11, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.0256?  (a) -5  (b) 3  (c) 1306\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 + (-15 - (14 + -34 + 16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -144.5 * -98.66.\nAnswer: 14256.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-75)\/(-6))\/(3\/(-6)). Let i = g - -29. Sort 3, -5, i in decreasing order.\nAnswer: i, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21)\/45 + 39\/(-195).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 224045513 (base 6) to base 16.\nAnswer: 3ebf35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add 1.643 and 0.4.\nAnswer: 2.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -146  (b) -1\/4  (c) -0.3  (d) 5  (e) 3\/2  (f) -8.29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the third derivative of j**4\/24 - j**3 - 2*j**2. Let b be n(0). Is 114\/4*b\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 2662*v - 14. Let i be b(-4). Is (i\/(-8))\/((-165)\/20 + 9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < -2\/837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 16) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1155366774.\nAnswer: 2, 3, 23, 599, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.0508 - 0.05057507. What is q rounded to 6 decimal places?\nAnswer: 0.000225","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (9361\/(-46))\/37*(36\/(-10))\/(189\/135)?\nAnswer: 99\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence huhh when four letters picked without replacement from huuuhoh?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.426 times -5?\nAnswer: 7.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1034340 + 4?\nAnswer: -1034331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, t: 4, m: 2, n: 1, h: 2, a: 2}. Give prob of picking 2 h.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 118*y**5 + 124*y**5 - 25*y - 240*y**5 + 3*y**2 + (-y + y**2 + y)*(-y**3 - y**2 + y**2).\nAnswer: y**5 + 3*y**2 - 25*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 26714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 14553 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 44*o - 437. Determine m(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-1)\/j*j)**(23\/5)*j*j**(2\/5)*j**1*j)\/(((j\/(j**2\/j))\/(j*j**(-8)*j))\/((j\/(j\/(j**1\/j)))\/j)**(-45)) assuming j is positive.\nAnswer: j**(189\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 447 is divided by 39?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 503947.6 litres?\nAnswer: 503947600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -3*p + 133. Let y(o) = -o**2 - 18*o. What is y(b(q))?\nAnswer: -9*q**2 + 852*q - 20083","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y = -9*y + 32 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1743?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 8*k**2 + 4*k - 11*k**2 + 2 + 4 - k**3 + 7*k**2. What is b(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -6*b**3 - 1 + 22*b**3 + 0*b**2 + 2*b - b**2. Let p be x(1). Solve 3*a = -4*l + 7*a + p, 0 = -4*l - a + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -6 + -5707e?\nAnswer: -57084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*o + 3*a = 7*o + 113, 452 = 4*o - 2*a. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*t**4\/4 + 116229*t**3\/2 + 14632947*t**2\/4.\nAnswer: 3*t**2*(t + 63)*(t + 77423)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.042502 <= 36.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.05  (b) 3  (c) -1  (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 2*b**2 - b - 2. Let w be n(4). Let g(k) = -k**3 - 8*k**2 + 17*k - 11. Let a be g(-11). Let f = a + w. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -65, -101, -137, -173, -209, -245?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**3 - 4*s**2 - 9*s + 41. Let a be w(4). Solve 420 = -a*m + 425 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 2*c + 8 = 0, -4*c + 4 = 4*l - 0*c. Let g = 33 + -20. Let i = -10 + g. Is i equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 182\/(-8)*((-44086)\/4606 + (0 - -9))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 484 and 682?\nAnswer: 15004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m**2 - 5292828*m + 2334502353132 = 0. What is m?\nAnswer: 882138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 911678631?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from qjjqqddddqjdqdq?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*(k\/(k**(1\/4)*k))\/k)**(1\/6)\/(k**2*k**5))\/((k**1)**(-4\/29))**(-2\/13) assuming k is positive.\nAnswer: k**(-63905\/9048)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 252 = i + k, 5*i - 2*k - 905 = 362. What are the prime factors of i?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 170 divide 16283960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -884101 times 0.8?\nAnswer: -707280.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16 - 16.4. Let i = o + 0.5. Let f = -1239 + 1236. Which is the nearest to i?  (a) 2\/3  (b) f  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 392266425.\nAnswer: 3, 5, 43, 121633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 775106057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 981, 984, 997, 1026, 1077, 1156, 1269?\n\"Answer: a**3 - a**2 - a + 982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9106\/3 - 3034. Sort y, -3, -2, 3\/50.\nAnswer: -3, -2, 3\/50, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/7710 and -39\/61937?\nAnswer: 1858110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -32344 (base 5) to base 2\nAnswer: -100010110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -1, -0.08, 568?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -23, -54, -101, -170, -267, -398, -569, -786?\nAnswer: -1055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes before 8:11 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-10)\/45 + 4\/18. Suppose h = 4*q - 2 - 10. Sort -4, q, 4 in increasing order.\nAnswer: -4, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**3 - 5*k + 6. Calculate the remainder when r(4) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -10 - 3 + 2*k - 4 + k. What is the units digit of l(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 36789854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 40 and 188120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 44\/161 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1023 and 744.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 246*d**3 - 2*d**2 - 102 - 293 - 723*d**3 wrt d.\nAnswer: -2862","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 4 + m - 2*m - m + 21. Is b(-17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 + -2. Suppose 0 = -p + 3*n + 5, -2*p - 1 + 0 = y*n. Calculate the remainder when 5 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -39, -88, -151, -228, -319, -424, -543?\nAnswer: -676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 37 + -35. Let i be (-10)\/16*-1 - 1. Let d = 0.03 - -0.07. What is the nearest to d in g, -4\/3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 4*(-4*(sqrt(117) + -2) - sqrt(117)) + -1 + 4)**2*5*-5.\nAnswer: -1192500 + 90000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 14 + -9. Let g = -32.3 + 34. Let i = -2 + g. Put h, i, -4 in ascending order.\nAnswer: -4, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 8\/7*(112 + -35). Suppose l = 4*z - 21, -3*l = 18 - 3. Suppose f + 2*f - 24 = -z*c, -4*f + c = -32. What is the highest common factor of f and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -144*d - 52. Let k be a(-1). Solve -96*s + k*s = -20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.12 - -0.08. Suppose 5*i - 1 = -16. Let g = 23 + -19. Which is the closest to i?  (a) p  (b) g  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 337 - 346. Which is the second biggest value?  (a) -0.2  (b) -2  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -7 and -9.8.\nAnswer: 68.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 - 7. Let k = -218 + 147. Let y = -69 - k. Which is the second smallest value?  (a) j  (b) -4\/7  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -2*q + 1, 0 = 167*d + q + 220 + 946 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*z + 4*q - 55, 157*q = 5*z + 152*q + 35 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.28979457 + -0.02979481. Let v = s - 0.26. What is v rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 5*y = 9*y - 1476, 4*s = -y + 1485. Is 58 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1836 by 34.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 594, -3733, -8060, -12387, -16714, -21041?\n\"Answer: -4327*k + 4921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 24*z**3 + 22*z - 5. Let y(s) = -2*s**3 - s + 1. Let p(j) = q(j) + 2*y(j). Find the second derivative of p(v) wrt v.\nAnswer: 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -5*f - 6. Let r(x) = 3 - 1 + 10*x - 7 - 14*x. Suppose 0*s + s - 12 = 0. Let n = s - 7. Determine n*o(z) - 6*r(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/370 + (-1964215)\/(-57794)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 40 and 1000?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -44122114 (base 5) in base 7?\nAnswer: -3140610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/10*y**3 + 27\/2*y - 34\/5 - 33\/5*y**2.\nAnswer: -(y - 1)**2*(y + 68)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (415*u**2 + 647*u**2 + 8405*u**2)*(-3*u - 3*u + 4*u)*(4*u + 2*u - 5*u).\nAnswer: -18934*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3591266*j*v - 4483760*j + 2 with respect to v.\nAnswer: -3591266*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 118*z - 2 + 11 - 1. What is the tens digit of b(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-3)\/(-5))\/((-2)\/(-10)). Suppose -w*n - 13 = -5*z, 1 = 5*z + 3*n - 6. Solve 0 = z*v - 2 + 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -43880.1587 less than -1788.2?\nAnswer: 42091.9587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (20\/6)\/5*3. Let d(i) = 4 - 2*i - 1 + 1. Let y be d(3). What is the biggest value in y, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -42 + 114. Let h = p - 46. Let t = h + -26.3. What is the second smallest value in -5, -14, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -413*w**3 - 1539*w**3 + 411*w**3.\nAnswer: -1541*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -3*c - 6. Let n be i(7). Let d = 43 + n. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/16329002 and -27\/634136.\nAnswer: 65316008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:35 AM and 1:14 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccmhcococomcocomhmc. Give prob of picking 1 c and 1 m.\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9417?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -281*t**3 - t**2 - t. Let v(w) = -1406*w**3 - 6*w**2 - 5*w + 1. Let g(f) = -11*k(f) + 2*v(f). Let q be g(2). Is (q + 3 - -2)*2\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 217845318359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 344\/5 - (-416)\/(-520). What is p rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 93, -0.05, -14832, -4, 0.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (3732\/15)\/(14\/35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 47781396288475 from 0.3.\nAnswer: -47781396288474.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -80 + 125. Calculate the remainder when w is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1021*l**2*x + 19417*l*x + 187*x + 175369 with respect to l.\nAnswer: -2042*l*x + 19417*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 90 + 34. Let a be n\/(-6) + (-2)\/(-3). Let s = a - -46. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 (base 11) to base 10\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**2 - 13*h + 3. Let g be x(13). What is the units digit of (1 + -9)*(-12)\/g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-19\/4)*z)\/z**(3\/7) assuming z is positive.\nAnswer: z**(-117\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 593 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -21.2482 - -0.2782. Let q = -56 - -35. Let l = q - x. Round l to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22 * -74\nAnswer: -1628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 299 is divided by 51?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*g**3 + 56*g**3 - 174*g**2 - 5 - 26*g**3.\nAnswer: g**3 - 174*g**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2.7 in 1.2, -2, 3, -1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 3*r = 31 + 20, -5*b + 106 = 2*r. Calculate the remainder when b is divided by (1\/1*-7)\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31935696?\nAnswer: 2, 3, 13, 61, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 + -19\/3. Put q, -0.4, -3 in decreasing order.\nAnswer: q, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -4*g + 17. Let k(v) = -v + 1. Let b = -4877 + 4879. Determine b*k(m) - w(m).\nAnswer: 2*m - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 11, g: 9}. What is prob of sequence go?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, -0.04, -2, 0.1, 3\/46, 2\/5, -73\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/13 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -245*f = -115*f - 1418690. What is the thousands digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5aa9 + -101?\nAnswer: 59a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = 5*a + n + 1, 4*n + 10 = 2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.1 + 0.3. Let k = m - 0. Which is the closest to -2?  (a) -0.1  (b) k  (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 30 - 38 = 0. Suppose -3*j - 3*v + 126 = 0, -3*j = d*j - 4*v - 228. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f + 3*o + 462, 38*f - 43*f + 467 = 2*o. What is the remainder when 93 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8128 = 22*q - 18008. Suppose 4*k - 13*k + q = 0. Does 17 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 11 = 2*a. Solve 2*p**4 - 4*p + a*p**2 - 8*p**2 - 6*p**2 = 0 for p.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 13 and -452866493?\nAnswer: 452866506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1033303 - 222302?\nAnswer: -1322211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 4*f + 8 = 0, -4*g = -0*g - 3*f - 25. Suppose 0 = -3*o + g*r - r, -4*r = -20. Solve -o = 4*k + k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the second derivative of 1\/20*i**5 - 17*i + 0*i**4 + 0*i**2 + 0 + 0*i**3. Let v(w) = 0. Calculate w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u. Let d(o) = 3*o**2 + 545*o - 29. Calculate d(h(i)).\nAnswer: 3*i**2 - 545*i - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**3 + 10*j**2 - 8*j - 6. Let l be f(6). What is the highest common divisor of 36 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1002, -4, -25 in increasing order.\nAnswer: -1002, -25, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 21*(-4)\/12 + 28. Is 4\/(-6)*l\/14*-307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -5*z - 31. Suppose -5*d + 3*c = -15, 2*d + 2 - 8 = -5*c. Let b(x) = -x + d + 0*x - 9. Let r(k) = 11*b(k) - 2*y(k). Calculate r(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of c*x**4 + c*x**2 + 3*c - 25*x**6 - x**2 wrt x?\nAnswer: 24*c*x - 3000*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 100 = 5*b, 0 = -3*s - s + 2*b - 50. Let k(r) = -r**3 - 14*r**2 + 14*r + 14. What is the tens digit of k(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (36\/48*-2)\/2.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*g = -7243062 - 2144118. Let p = g - 745459. What is p rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -790 + 796. Solve y*b = -2*w + 11*b + 4, -3*w + 6 = b for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 2\/2827?\nAnswer: 2\/2827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t**4 + 30*t**3 - 93*t**2 + 90*t = 0.\nAnswer: 0, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 75*m + 7011. Give k(-97).\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 86 a factor of 2322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**2 + 15*o - 47. Give g(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 139910 divided by 27982.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, 13, -215, -6 in ascending order.\nAnswer: -215, -6, -5, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**2\/3 + 32*r\/3.\nAnswer: 2*r*(r + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 148229183 times 0.5?\nAnswer: 74114591.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1271327 is divided by 423759?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 2) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5, -5\/13, 1\/126, 8?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r = -r - 20. Suppose -r*j - 33 = -2*z + 13, 2*j - 175 = -5*z. Suppose -m = -4*m + z. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -15, 4, 0.2, -0.5, -0.3 in descending order.\nAnswer: 4, 0.2, -0.3, -0.5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 21\/2 of a week?\nAnswer: 1764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, -4, 6, 20, 1, 396 in decreasing order.\nAnswer: 396, 20, 6, 1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 896324785 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*t + 110 + 16 = 0 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (53200\/(-3705))\/40*-78.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1016?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**4\/5 + 31312*z**3\/5 + 245704542*z**2\/5 + 9302889136*z\/5 + 88270192609\/5.\nAnswer: (z + 19)**2*(z + 15637)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 552266 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.51 bigger than -100965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -780 = -4*v - 4*z, -7*z = -2*z + 25. Suppose v = 2*g + 2*r, -152 - 60 = -2*g - 5*r. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 4*x - 3. Let j be l(2). Let b = j - 9. Let y = b - -3. Is -1\/3 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 7225*p**2. Let n(v) = -2266*v**2. Determine n(r(m)).\nAnswer: -118286616250*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) 1.3  (c) -65  (d) -1  (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -117 - -118 - (0 - -9 - 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5 - 3. Let m be (1\/4)\/(u\/(-12)). Let n = 0.06 - 0.46. Which is the nearest to -0.1?  (a) 1  (b) n  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 k when two letters picked without replacement from knknkkk.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 50\/240*-4*(-5)\/75*-6\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -15 at least 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) -956320  (c) 2  (d) -1\/2  (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -0.853 * 0.2\nAnswer: -0.1706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 24536, 24216, 23682, 22934?\n\"Answer: -107*a**2 + a + 24642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8636*l = -8675*l - 30 - 19 + 166. Determine x, given that 108 + 3\/4*x**5 + 126*x + 3\/4*x**2 - 75\/4*x**l - 3\/4*x**4 = 0.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**2 + 4*i - 6. Let o be q(-5). Let k be o*(-2 + 47)\/(-3). Solve -5 = 5*x - k for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(sqrt(1700) - (sqrt(1700) + (-1*sqrt(1700) - sqrt(1700))*4)) - 6*((1 + sqrt(1700))*-3 + sqrt(1700)))*-2*3 + 0)**2.\nAnswer: -259200*sqrt(17) + 24491664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -5*u + 27, -5 + 30 = 3*u - 4*a. Let q = -105 - -106. Solve -2*v = 4*r + 18, 0*v + u*v - r - q = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + 17\/(-5) + (-18)\/5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + k + k = -53194, -k = 5*o - 66503. Round o to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = 4*x + 678, 0 = -4*u - 0*u - 4*x - 1340. Let l = u + 1598\/5. What is the common denominator of 81\/(-12)*(-44)\/(-6) and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 61837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 76 or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*o + o - 2*o)*(12*o**2 + 9*o**2 - 31*o**2) in the form u + y*o**2 + l*o**3 + v*o and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -35*w**3 - 2304*w**2 - 1880*w + 328. Calculate q(-65).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**4)\/((k*k*k**(-6))\/k))\/(((k**(-1\/4)\/k)\/k)\/k)**(-2\/29) assuming k is positive.\nAnswer: k**(103\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the second derivative of -64*p**2 - 43*p + 0*p**4 + 181\/20*p**5 + 0 + 0*p**3. What is the first derivative of t(c) wrt c?\nAnswer: 543*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35 - 50 + 16*f - 50 + 5*f + 151.\nAnswer: 21*f + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 12 = 7*a. Suppose g = a*s - 1431, 0 = s + 3*g - 0*g - 361. Factor -s*x + 15 + 14*x**2 + 298*x + 1.\nAnswer: 2*(x - 4)*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1204 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 421*y + 2614*y = 236622 + 170068 for y.\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q - d + 113 + 164, 0 = 3*q - 2*d - 216. Let t = q + -69. Put 1\/2, 5, t in decreasing order.\nAnswer: 5, t, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23713, -23678, -23645, -23614, -23585, -23558, -23533?\nAnswer: -23510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 - 207652*j + 2069211*j + 737792*j.\nAnswer: 2599351*j + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 301257 to the power of 1\/2, to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000020069 to 7 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the third derivative of -m**6\/144 + 19*m**5\/120 - 3*m**4\/4 - m**2. Let v(l) be the second derivative of r(l). List the prime factors of v(-19).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 27*m + 3. Calculate t(-2).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**2 - 916*a + 209764.\nAnswer: (a - 458)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 585441.6 grams to kilograms.\nAnswer: 585.4416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17604.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 1 - 4)*(1651*t**3 + 39*t + 1656*t**3 + 28*t**2 - 3305*t**3) to y*t + m + g*t**2 + z*t**3 and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -222855\/626 or -356?\nAnswer: -356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*i = 5*i - 21948 + 22508 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 653337888 to the nearest integer?\nAnswer: 25560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 438456, 877376, 1316296, 1755216?\nAnswer: 2194136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*c + 60297 = -49873. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 77 = -27. Let t = 17 - f. Let o(g) = 686*g**2 - g - 7. Let y be o(t). Round y to the nearest one thousand.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/75088 and 149\/1482.\nAnswer: 225264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w + 11997 + 201555. Let v = w + -109184. Round v to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18 - 31. Let v(k) = -k**2 - 13*k + 2. Let y be v(m). Solve 0*q - y = -2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -702 - -704. Suppose -5*d + 6697 = 4*j, 2*d - 1705 = -i*j + 973. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 3*o = -0*i - 8, 4*i - 8 = 4*o. Let y be 106\/10 + i\/(-5). Let n(c) = -16*c - 6. Let x(a) = 3*a + 1. Calculate y*x(w) + 2*n(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6074 - 3734. List the prime factors of x.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 11*x - 400 = 6*x, 0 = -5*x - 20. What is the highest common divisor of 175 and k?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 13957*a**2 + 2*a - 13954*a**2 + 42*a + (-3 - 1 - 1)*(-2*a**2 + 0 + 0).\nAnswer: 13*a**2 + 44*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 683 = 5*h + 4*w, -h + 145 = -0*h - 2*w. Let i = h - 31. What is the greatest common divisor of i and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 3*z = 14071, 0 = 5*y + 5*z - 4694 - 12851. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -36610 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express ((1 + 2 - 2)*(-2*i + i + 3*i) + i - 4*i + 5*i - 4*i + 0*i + 3*i)*(212*i**2 - 628*i**2 - 251*i**2) as g*i**2 + l*i + j + o*i**3 and give o.\nAnswer: -2001","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10560 is divided by 2586?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 10832*m + 411633. Give l(-38).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 821835151 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -4.3  (b) 32  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 - 190?\nAnswer: -189.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 2 q when three letters picked without replacement from vnfsqqn.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 184929079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 218 is divided by 56.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 121*p = -2*s - 2*s + 57*p + 62*p - 18, -p + 6*p + 75 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u*u*u\/(u\/(u**1\/u)))\/(u**7*u))\/(u**(1\/5))**44 assuming u is positive.\nAnswer: u**(-69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the third derivative of 0*b**3 + 0 + 0*b**4 - 1\/20*b**5 + 14*b**2 + 0*b. Let j(r) = -3*r. Determine l(j(f)).\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3 + 6 - (1 - 3). Put -1, w, 3 in ascending order.\nAnswer: -1, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 204 and 2992?\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 8\/(-12) + (-20)\/(-36)*12\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 255 + 256 - 511 + n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 2 d when four letters picked without replacement from zzzzzpdpdzdz.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*z + 2 - 2 + (3*z - 2*z + z)*(-18 + 11 + 14) + 0 + 0 - z.\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 + 14 - 2) + -8 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 109052071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that 3*f**5\/4 + 195*f**4\/4 + 3741*f**3\/4 + 17661*f**2\/4 = 0.\nAnswer: -29, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**3\/3 - 70*b**2 - 675*b - 5000\/3.\nAnswer: -(b + 5)**2*(b + 200)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-32)\/36)\/(138\/(-621)). Suppose -4 - 8 = -6*f. Solve -f*b - 8 = 2*j, j + 20 = -b - w*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes before 6:24 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 948\/1185*(-15)\/234?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -850 * -3\nAnswer: 2550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 15841769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/4*i**5 + 0*i + 0 + 2*i**4 + 0*i**2 - 7\/4*i**3.\nAnswer: -i**3*(i - 7)*(i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 2*j = -111. List the prime factors of j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -16.9790011689 + 16.979. Round d to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/15?  (a) 1  (b) 95  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 + 8. Suppose f*w + 25 = 177. Let s = w + -54. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1 - 3)\/((-8)\/20). Is 14 a factor of 145\/b*(2 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 109*p**3 - 59*p**3 - 61*p**3.\nAnswer: -11*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -93*y. Let w(m) = 68*m - 124*m - 4*m**2 + 56*m. What is w(j(v))?\nAnswer: -34596*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2575380*b**3 - 4*b + 19836.\nAnswer: -15452280*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -21*k + 4 - 2 - 6. What is the tens digit of v(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8 - -6. What is the units digit of (-18)\/(-14) + h\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 + 12033221030?\nAnswer: 12033221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 97034597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((sqrt(192) + -3*sqrt(192))*-4)**2 + 0 - (3 + 3*((-1 + sqrt(192) - sqrt(192)) + sqrt(192)))*-2.\nAnswer: 48*sqrt(3) + 12285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52572590*c + 41*c**2 - 2*c**3 - 52572590*c - 41*c**2 - 23.\nAnswer: -2*c**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*a - 0. Let d(t) = 5*t**3 + t**2 + t. Let h be d(a). Let v = 78.6 - 78.9. What is the third biggest value in v, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 648339086?\nAnswer: 2, 37, 8761339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**3 - g**2 + 1. Let z(a) = -8*a**3 + 7*a**2 + 40*a - 6. Calculate 6*j(h) + z(h).\nAnswer: -2*h**3 + h**2 + 40*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u + 52 = 20*u. Solve u*s - 5*y = 1, 5*y - 2*y = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4 - -6. Let n be 1\/(-1)*v + 2. What is the units digit of (n + -1)\/((-2)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/6  (b) -1\/3  (c) 2964\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.06 + -0.16. Let a = 7 - 9. What is the second biggest value in r, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -5*k + 61. Determine t(0).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 20 = 4. Let v be (-15)\/(-6) + 6\/d. Let q = v + 10. What is the remainder when 31 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2626*y = -2699*y + 949 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -5*h + 3*h - 2*h + 3*h. Let m(t) = 144*t**2 - 42*t + 42. Let o(u) = 17*u**2 - 5*u + 5. Let x(r) = -5*m(r) + 42*o(r). Calculate g(x(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 159, 775, 1815, 3291, 5215, 7599, 10455?\nAnswer: 13795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2421300143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -2*i**2 - 3*i + 3. Let c be m(2). Let r be 2\/(0 + 1\/(-11)). Let j = c - r. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-1*sqrt(170) - (sqrt(170) - (sqrt(170) - ((sqrt(170) - -1*sqrt(170)) + sqrt(170))))*2)\/(sqrt(40)\/sqrt(4)*6 - -2*(sqrt(10) - sqrt(40))).\nAnswer: -5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1020, -1975, -2928, -3885, -4852?\nAnswer: -5835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -156 - -147. Let u(b) = 7*b - 6. Let t(n) = -6*n + 6. Let x(p) = -6*t(p) - 7*u(p). Does 24 divide x(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*u = 21*u + 20. Solve -4*g + 5*m + 6 = 0, 4*m + u = 4*g + m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(33)\/sqrt(11)*5 + 1.\nAnswer: 1 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 208\/52*-4*(-4)\/224.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -2937, -5880, -8823?\n\"Answer: -2943*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 20 and 476090.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, 31278, 0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express l**3 + 2*l**4 + 7*l**3 - 12*l - 8*l**3 - 2*l**2 as x*l**2 + o*l + d*l**3 + h + j*l**4 and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15995491 to the nearest integer?\nAnswer: 3999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*y - 335298 - 84722 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -22259 - -89168. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 27699, 110793, 249263, 443109, 692331, 996929?\nAnswer: 1356903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.05 in 25, -0.1, 1\/4266?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*r - 9*r + 8*r + 19 - 5*r + 3*r to the form h*r + k and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes after 12:43 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 630 = v + 635 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -2*x**3 + 15*x**2 - 7*x - 1. Let q be f(7). Let r be (-8 + -1)\/q + -7 + 5. Solve -r*g + 12*g - 10 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - -1 - 2 - (-8 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 13807, 13302, 12759, 12178, 11559, 10902, 10207?\n\"Answer: -19*r**2 - 448*r + 14274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**3 - 10*v**2 + 2*v + 10. Give p(10).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -10516 greater than or equal to -10517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*d - 7*d = 34*d + 1360 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 4  (b) 3.26  (c) -5558  (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 2*z**2 - 47*z + 2057. Is 13 a factor of p(28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2.17 - 28.17. What is the nearest to p in -1\/2, -6\/11, -2\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 734*f + 12075 + 333 + 5208 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -q - 5, 5*q = 62*f - 66*f - 1 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**2 + h. Let a be i(1). Suppose -m = -2 - a. Solve 3*u = -m*r + 15, -2*r = -4*r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the second derivative of 479*p**5\/20 + 873*p**2\/2 + 1432*p. Differentiate i(z) wrt z.\nAnswer: 1437*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -78832600 divided by 8\nAnswer: -9854075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/4437 and 49\/160326.\nAnswer: 79040718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 51, 155, 309, 513, 767, 1071, 1425?\nAnswer: 1829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3741\/332 - -3\/166. Let r = 20 - -2. Calculate the common denominator of (-40)\/r - (-8 + 10) and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 13 - 13. Suppose o*a - 3*a = -24. Let d(c) = -c**3 - 8 - 5*c + a*c**2 - c + c. Calculate d(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.50439 micrometers in kilometers?\nAnswer: 0.00000000750439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -3*z**2 - 53*z - 17. Let b be q(-17). Suppose -13*m + b*m = 20. Solve 3*t + 25 = -4*k, 5*t + 28 - m = -2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 2, -66.7, -3\/5 in descending order.\nAnswer: 2, -3\/5, -2, -66.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/(4 + -3 + -3) - 0. Suppose 0 = -3*n - f*t + 2, 9*n + 5 = 10*n + 5*t. Which is smaller: n or 11\/19?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2*(-11 + 3680\/336). What is the biggest value in 4, 1, 0.3, -9, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1023423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -128?  (a) 0.18  (b) -0.2  (c) -24  (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.0389 in 1\/4, -1\/4, 1\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3286 - 3286. What is the closest to -2 in 5\/3, z, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 52632 + -52599. Calculate the remainder when 80\/6*(0 + 3) is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**3 - 2*t**2 + t - 4. Let g be l(-4). Calculate the greatest common factor of g and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 9 = -3*l. Suppose 5*j = 3*b + 158, 5*j = l*b + b + 150. Calculate the highest common divisor of j and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 82662 and 5021?\nAnswer: 415045902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the third derivative of -p**4\/24 + 4*p**3\/3 + p**2. Let k(f) = f**2 + 4*f - 6. Let m be k(-6). Determine j(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1a6 + -4?\nAnswer: 1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 214 - 88. Find the second derivative of w*o - 772 - 165*o**2 + 772 wrt o.\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**2 - 113*d. Let g be z(0). Let t(f) = 2*f - 9. Let p be t(6). Let o be 0 + 2\/((-3)\/p). Which is the closest to -0.1?  (a) g  (b) -0.05  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*d**3 - 5802*d**2 + 34941*d + 40740.\nAnswer: -3*(d - 7)*(d + 1)*(d + 1940)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the second derivative of 23*u**3\/6 + 2*u**2 - 6*u. Let r be o(-2). Let f = r + 83. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.13963021 * 0.1\nAnswer: 0.013963021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -19.85 - 0.15. Let w = 21 + i. Let c = -6 + 17\/3. What is the closest to w in -2\/7, c, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -10 - -4325?\nAnswer: 4315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.09  (b) 1\/4  (c) -4349  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25277 + -0.088006.\nAnswer: 25276.911994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 times 3595?\nAnswer: 14380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -55466 >= -55470?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-41656)\/(-1270)*5\/(-4)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 48607320 and 855?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 + 27. Let d = r + -15. Solve 0 = 3*w - d + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6754647 and 34941.\nAnswer: 1839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b**3 + 6*b + 4 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 13241*t**3 + t - 23818 wrt t.\nAnswer: 39723*t**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:10 PM and 3:10 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 145, 5, -18?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 4 = 2*b. Let a = 225 - 29. Suppose -5*i = 2*o - 126, 5*o - o - b*i = a. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 816 = -3304*y + 3236*y for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10311298.\nAnswer: 2, 29, 139, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**1*o)\/o**(-1))**(13\/3)\/((o**(-1\/3))**(3\/2)*o**(2\/23)\/(o\/(o\/((o*o**6\/o)\/o)))) assuming o is positive.\nAnswer: o**(847\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54 = 4*g + 5*k + 55, -5*g + 5*k - 125 = 0. Sort 3, g, -15.\nAnswer: g, -15, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -933*t + 6. Let j(b) = 800*b - 7. Let n(l) = 6*c(l) + 7*j(l). Give n(21).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-552)\/(-12144))\/(5\/10).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-10)\/2 + ((-695849)\/198 - 0). Let w = 3516 + h. Find the common denominator of -23\/15 and w.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 912028123.\nAnswer: 89, 10247507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -57*g**2 - g - g**3 - 2*g + 87*g**2 - 4 - 36*g**2. What is m(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29 - (-53 - (-27 - 48))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -9440*i*r + 571*i + 3*r + 1 wrt r?\nAnswer: -9440*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 7*o**2 + o - 1. Let f(d) = d - 1. Determine -f(x) + w(x).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12 - -30. Let o = 10 - 9. Calculate the smallest common multiple of z and -2 + (3 - -19)\/o.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.36 + -3.04. Let v = -3 - u. Let i = -4731 - -4737. Which is the second smallest value?  (a) i  (b) 1  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -22133554, -22133552, -22133550, -22133548, -22133546?\nAnswer: -22133544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -19945.7 rounded to the nearest 1000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -5 + 1 - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6832 = 5*a + 12*o - 14*o, -4*o - 4088 = -3*a. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -175*c**4*o**3 + c**3 + 56*c**2*o**3 - 5*c**2 wrt c.\nAnswer: -4200*c*o**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -17380*q - 30015266. What is z(-1727)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 3*x + 4*t, -3*x + 2*x = -4*t + 6. Suppose u + 4*u = -2*r + 101, 2*r = x. List the prime factors of u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (5 - (-3 - -2))*(14\/21 + 0). Which is the smallest value?  (a) -4  (b) j  (c) -3  (d) -11\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -2*t + 7. Let a be d(3). Let y = a + 24. What is the units digit of ((-10)\/y)\/(2\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -155 (base 7) to base 8\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -3*z**3 + 2*z**3 - 10 - z + 26*z**2 - 32*z**2 + 7*z. Let p be q(-7). Which is the closest to 1?  (a) -0.4  (b) p  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 >= -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -h**3 - 629*h**2 + 629*h**2.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 412, 806, 1200, 1594, 1988?\nAnswer: 2382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i + 38. Let d be (-108)\/(-63)*(-8 + 1). What is the remainder when 50 is divided by u(d)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -16.219056378 to two dps.\nAnswer: -16.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*h**2 - 2873112*h + 1 + 2873107*h + 1.\nAnswer: 18*h**2 - 5*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*v + 6*v - 6*v)*(-530 - 531 + 1448).\nAnswer: 1548*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*w**3 - w**3 + 401*w + 8*w**3 + 7*w**3 + 4*w**3.\nAnswer: 2*w**3 + 401*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*n + n + 0*n)*(7 - 3 - 8) - 2 - 1 - n + 0 as b + l*n and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from uddkududkukukdu?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uue when three letters picked without replacement from {u: 2, e: 1, d: 1, f: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 180494?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2.1, 0.05, -3\/7, 3\/5?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7733 + 7735. Let s(c) be the first derivative of 1\/2*c**i + 25 + 4*c. What is s(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -0.5, -2\/3, 0.31 in descending order.\nAnswer: 0.4, 0.31, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 249 * -0.078955.\nAnswer: -19.659795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-16)\/(-18) - 2\/3. Let y = 1.91221 + 0.08779. Sort 4, l, y, -1 in increasing order.\nAnswer: -1, l, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) 3  (c) 79036\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5673351906957156\/24128713 + -235128658. Let c = -17203777589\/62975940930 + l. Let i = c + -2\/435. Find the common denominator of i and 75\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/9, 1\/5, 75\/8069 in decreasing order.\nAnswer: 2\/9, 1\/5, 75\/8069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 783861 divided by -5?\nAnswer: -783861\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -48315, -48300, -48285, -48270, -48255, -48240?\n\"Answer: 15*p - 48330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12 + 22. Let y = 86 + -83. Let v(m) = 5120 + 3*m - 2*m**y - 5120 + 3*m**2. Let w(z) = 6*z**3 - 10*z**2 - 10*z. Give g*v(p) + 3*w(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 138866 and 58100?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 + -1. Let j = z + 9. Suppose -j*f = -2*h + 70, -h + 3*h + 3*f - 49 = 0. What are the prime factors of h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 864805606 to the nearest integer?\nAnswer: 29408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*t**4 + t**4 + 6*t**3 - 4*t + 5*t**2 - 4*t**2 + t**2 - 6*t**2 to v*t**4 + r*t**2 + l*t**3 + o*t + j and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 36, 24, -2, -48, -120?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 418 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (70*g**3 + 1564*g**3 + 5459*g**3)*(-2 + g**2 + 1 + 0).\nAnswer: 7093*g**5 - 7093*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*-3*sqrt(42)\/(sqrt(36)\/(sqrt(24)\/sqrt(4)))*4.\nAnswer: 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*f**3 + 2*f**3 + 2*f**2 + 3*f**3 + 3377 - 3377 + 76*f**3 + (2*f - 2*f - f**2)*(0*f + 6*f - 4*f).\nAnswer: 75*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -44*q**2 + 8*q - 6. Let m(z) = 22*z**2 - 3*z + 3. Let a(l) = 5*m(l) + 2*p(l). Determine a(-3).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h. Let l(q) = -3*q. Let z(u) be the second derivative of -13*u**3\/6 - u. Suppose -7*r = -12*r + 10. Let d(n) = r*z(n) - 9*l(n). Give x(d(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/20*6\/(-81))\/((-5)\/(-30))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(90))\/sqrt(2))\/(sqrt(9) - (1*sqrt(108) - sqrt(108))\/sqrt(12)) - (2 + sqrt(60)\/(sqrt(12)*-3) + -5).\nAnswer: 4*sqrt(5)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -2955 less than or equal to 23\/682?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-15746)\/286 - -1 - (1 + 0). Let y = 503\/13 + p. Are y and -16 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -130 - 12*q + 60 + q**3 + 74 + 0*q**2 - 5*q**2. Let p(r) = r**3 - 4*r**2 - 11*r + 3. Calculate 3*m(x) - 4*p(x).\nAnswer: -x**3 + x**2 + 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -6*p + 52 - 25 - 27. Let h(r) = 9*r**2. What is h(b(m))?\nAnswer: 324*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the first derivative of -g**4\/4 + g**2 + 13*g + 3. Let b(t) be the second derivative of c(t). Determine b(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4932 is divided by 890.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2\/15 - -11\/30. What is the smallest value in 0.1, 2, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -5*w + 4*q, -2*w + 12 = -2*q - 0. Suppose -3*t - 1043 = -w*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -3*f + 17. Let k(z) = 4*z - 17. Calculate 2*k(b) + 3*y(b).\nAnswer: -b + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 91 + 2a?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**3 + 124*w**2 + 478*w - 236. Let f be x(-120). Factor 2\/11*p**4 - 40*p - f*p**3 + 282\/11*p**2 + 200\/11.\nAnswer: 2*(p - 10)**2*(p - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5439524 litres in millilitres?\nAnswer: 543.9524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, -3, -2, 2, -11, -788, 4 in ascending order.\nAnswer: -788, -11, -3, -2, 2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(475) + 4*(sqrt(475) + 2) + -3 + -2 + (sqrt(475) - (0 + sqrt(475))*-1))**2.\nAnswer: 210*sqrt(19) + 23284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 675*z**4 - 450*z**3 + 450*z**2 - 900*z + 300. Let f(h) = h**4 - h**3 + h**2 - 2*h. Let t(l) = -450*f(l) + y(l). Differentiate t(k) with respect to k.\nAnswer: 900*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 787 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 less than -4287.61?\nAnswer: -4289.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-17)\/(42636\/(-1026))*(72\/(-3))\/3\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -10674, -10678, -10682, -10686, -10690?\n\"Answer: -4*l - 10670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -7*t - 3 + 5*t + 4. Let o(z) = -3*z + 2. Let v(f) = 4*c(f) - 3*o(f). Let a(y) = 2*y - 4. Give 6*a(k) - 13*v(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 572 and 182?\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the third derivative of -5*l**2 + 0*l**7 + 1\/8*l**4 + 0*l**5 + 0*l**6 + 0*l**3 + 0 - 1\/56*l**8 + 0*l. Find the second derivative of z(q) wrt q.\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = z + 4*d, 27 = 3*z + 8*d - 10*d. Solve -4*m - 3*p + 14 = 0, z*m + 5*p + 30 = 15*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1213.0916 - -0.0916. Let v = -1211.012 - o. Let b = v + -2. What is b rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -53138 or 0?\nAnswer: -53138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -z - 0*z + y, 4*y + 25 = z. What is the third derivative of -3*t**4 - t**4 - 2*t**4 + z*t**2 wrt t?\nAnswer: -144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 9 - 3*c**2 + c**4 + 5*c**2 + 7 - 35*c**3 as x*c + k*c**3 + z + s*c**4 + a*c**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 85233 + 508?\nAnswer: 85742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q - 15 - 9 = 0. Sort 79, 4, -5, q in descending order.\nAnswer: 79, 4, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(2\/7))**48*(r**(-3\/2)\/r)\/r*(r*r**0\/r*r*r)\/r*(r**(-6\/5)*r\/((r**10*r)\/r*r))**2 assuming r is positive.\nAnswer: r**(-783\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 164387 is divided by 266.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 518, 1031, 1542, 2051, 2558?\nAnswer: 3063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 17655437971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 157179658.\nAnswer: 2, 59, 71, 73, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 161277293?\nAnswer: 1367, 117979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add 23.868732 and 0.16.\nAnswer: 24.028732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 247574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + w = 6. Let a = 47 - 36. Suppose -r + 7 = a. Which is bigger: w or r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 1\/29, 0.5, -3, 2\/13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 888990?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63649 + 63394 = -17*m, 49 = 2*u + 3*m for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*k**3 + 11*k**3 + 2*k**3 + (0*k + 0*k + 2*k**3)*(1 + 0 + 0) + 2*k**3 - 4*k**3 + 4*k**3 + (-k + k**3 + k)*(0 - 2 + 1) - 2*k**3 + 6*k**3 - 3*k**3.\nAnswer: 19*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 123041228 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 24447, 0.2, -1.8, -2\/5, -0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 15930658421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37 + 17 = -5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 409 + 480. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 23\/7 + (-22)\/77. Suppose -3*c + c + 208 = g*t, -143 = -2*t + 3*c. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 - -2a5bc?\nAnswer: 2a5bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 212471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:16 PM and 3:06 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**2 - 7*n - 12. Let h be f(-2). Let i(o) = o**2. Let r be i(-2). Is 18 a factor of (r\/(-10))\/(h\/180)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 914209 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -75  (b) 4  (c) -2\/265\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -11, 16 in descending order.\nAnswer: 16, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 280\/(-1482) + (-26)\/(-169). Let o be ((-108)\/(-30))\/((-57)\/10). Let d = f + o. Which is the nearest to d?  (a) 2  (b) 4\/7  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 3*m = -72, 7*n = 3*n + 2*m + 56. Let r(a) = 3*a + 2*a - 5 + 6 + 20*a**2 - 16*a**2. What is the remainder when r(-4) is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9539.628 hours in seconds?\nAnswer: 34342660.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -42833 greater than -42830?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -110285 >= -110296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1 + 5)*(-425)\/(-10). Suppose 28107 = 7*r + a. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 13 - 5 = -4*u, 0 = 2*u + 2*x - 14. Solve q - 4*q = u*f - 1, -3*f = 4*q - 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 904 - -62?\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9717 rounded to 3 decimal places?\nAnswer: 0.972","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -2. Let v(o) = -11 - 9 + 24 - o. Let m be -4*1*15\/(-4). Suppose -m = -5*n - 0*n. What is n*z(h) + 2*v(h)?\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i**19\/i)*i)\/i**(-2\/9) assuming i is positive.\nAnswer: i**(-142\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -316792*o. Let h(x) = 1914*x. What is p(h(k))?\nAnswer: -606339888*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f*f*f*(f**(-6\/7)\/f)\/f)**19*(f*(f**(1\/7)*f*f)\/f)**31 assuming f is positive.\nAnswer: f**(617\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -1896, -1.7, 5, 1\/7 in descending order.\nAnswer: 5, 1\/7, -1.7, -1896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 26\/10 - (-6)\/(-10). Which is the nearest to -1?  (a) 12  (b) -2\/19  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 55 and 62645?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*j + 3 = 5*u + 53*j, 3*j = -4*u - 10. Let m(s) = s - 1. Let x(z) = -6*z + 1. Determine u*m(p) - x(p).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 685, 2852, 6463, 11518, 18017?\n\"Answer: 722*u**2 + u - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 90.92820381 rounded to 1 decimal place?\nAnswer: 90.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 1937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y = 3*y + 747. Suppose -3*j = 5*d - 173, -y + 37 = -4*j - 2*d. Let h be (j\/15 + -3)*20. Calculate the greatest common factor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 78 divide (-32)\/(-8) - (-10367 + 9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 133801752?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-3\/13)\/p*(p**(-9\/8)\/p*p)\/p)\/(p**20)**(2\/11) assuming p is positive.\nAnswer: p**(-7999\/1144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -158 or -175?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -g + 25, -6*g - 8 = -2*l - 11*g. Suppose l = 5*m - 2*a, 4*m = m + 3*a. Suppose m*x - 150 - 126 = 0. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -767 - p**3 + 380 + 387 + 27*p**3.\nAnswer: 26*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 104642 (base 9) in base 7?\nAnswer: 350120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 491, 487, 471, 437, 379, 291, 167?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, 6, 13, 44, 5, 4, 3 in descending order.\nAnswer: 44, 13, 6, 5, 4, 3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - 3) + 2 - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11 - -10.9999964. What is m rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that 2*n**3\/13 + 7738*n**2\/13 - 391900*n\/13 = 0.\nAnswer: -3919, 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -35, 41, -2\/9 in increasing order.\nAnswer: -35, -2\/9, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -130019.7 - 26.94?\nAnswer: -130046.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -r + 0*r + 2*r + 0 + 0 + r + (2 + 0 - 3)*(r - r + 2*r) + 3*r - 4*r + 0*r - 3*r + r + 0*r + r + 0*r - 2*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes before 1:16 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:49 PM and 4:58 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.454 to 2 decimal places.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-325)\/275 + 4\/22.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 3 from -7954934244614.\nAnswer: -7954934244617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9 - -6. Let z(k) = k**2 - 10*k + 8. Suppose -2*j + 2*s - 6*s + 26 = 0, -2*j - 2*s + 22 = 0. Let n be z(j). Which is bigger: m or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 - 2. Let b(i) = -i**2 - 19*i - 63. Let p be b(-15). Sort p, w, 1 in increasing order.\nAnswer: w, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 308 and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (17 + -11 - 16) + -18 - -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -283, -286, -289?\n\"Answer: -3*j - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -3*n**2 + 2*n + 2. Let x(i) = -7*i**2 + 5*i + 5. Let z(w) = w + 1. Let c be z(4). Suppose -c*f + 5*m - 1 = 9, -6 = f - 2*m. Give f*x(u) - 5*k(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1380 + 1381. Which is the nearest to t?  (a) -3  (b) 0  (c) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2114 and 7567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -440 divided by 53\nAnswer: -440\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.03754661 to five decimal places.\nAnswer: 0.03755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4613 by -4613.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 20*o**2 - 497*o - 3054. What is x(-6)?\nAnswer: 648","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 364 - -772. Does 16 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, -1164920, -10\/7?\nAnswer: -1164920","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3554 divided by -1777?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:30 AM and 6:56 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 179, -1\/3, 0, 1\/6, 0.2 in decreasing order.\nAnswer: 179, 0.2, 1\/6, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ul when two letters picked without replacement from lllululululullll?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 11643, 46525, 104649, 186015, 290623, 418473?\n\"Answer: 11621*g**2 + 19*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12.8 + -268.8. Let i = h + 258. Let c = 11 - 11.13. What is the closest to -0.2 in i, -0.5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bqds when four letters picked without replacement from qzsdsdbe.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 159 and 2373711.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 220203 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -906, 6, -1.05 in ascending order.\nAnswer: -906, -1.05, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 9*p**2 - 32*p + 11. Let h be j(6). Suppose -g = 2*m + 3*g - 286, -4*g = -4*m + 572. Is m less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/2 - 3\/(-6). Suppose -69 = -2*t - 3*i + 4, c = 2*t - 5*i - 49. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 840 and 56?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -354000 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -34*b**4*k**2 + 718*b**3*k**2 - 71*b*k**2 - 26*k**2 + 1 wrt b?\nAnswer: -408*b**2*k**2 + 4308*b*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 154.9799 seconds in microseconds?\nAnswer: 154979900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 269612 is divided by 1419?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -95865636*h**3 + 8101215*h**2?\nAnswer: -575193816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 127238136 divided by -248.\nAnswer: -513057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20102010202120 - -2011?\nAnswer: -20102010200102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -2*c + 1. Let h be -3*(-3 + 7)*(-15)\/9. Suppose h*q - 14*q - 12 = 0. Give n(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 16\/41 + 91\/82. Let l = -147\/2 + 75. Determine k, given that i - 15*k**3 - 15\/2*k + 15\/2*k**4 - l*k**5 + 15*k**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2b - -21?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 3*x**2 - 14*x - 19. Let i(a) = a**2 - 5*a - 6. Let m(t) = -17*i(t) + 6*n(t). Suppose -13*w = -10*w. Let q be m(w). Round q to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -386968 divided by -5?\nAnswer: 386968\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c**3 + 15*c**2 + 27*c + 17. Let o be n(-13). Suppose o*t = -3*t + 91. Factor -18 - 9*d**3 - 12*d**3 + t*d**2 - 17*d**2 - 86*d**2 - 87*d.\nAnswer: -3*(d + 1)*(d + 3)*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.22 - 7.78. What is the third biggest value in j, -0.4, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*o**2 - 6*o**2 + 10*o**2 + 70*o**2 - 43*o**2 + 111*o**2 + (3*o + 0*o - 2*o)*(1 - o - 1) + 2*o**2 - 2*o**2 + 2*o**2.\nAnswer: 143*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/2 + -13 + 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 q, and 1 o when three letters picked without replacement from {d: 3, i: 1, q: 2, v: 1, o: 2, t: 6}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 29.41 - 26.41. What is the fourth biggest value in -11, y, -7, -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 317 - -3075. List the prime factors of p.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 8, 1495, -1\/2 in increasing order.\nAnswer: -5, -1\/2, 8, 1495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -6*c + 1464. What is the units digit of x(-29)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 1 v, and 1 i when three letters picked without replacement from {v: 4, o: 6, i: 9}?\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 20 - 21. Calculate the common denominator of -27\/11 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -35.392 + 33.8. What is j rounded to 1 decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 876 + -544. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -30, 1, 5, 9, 63, 0 in decreasing order.\nAnswer: 63, 9, 5, 2, 1, 0, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2010?  (a) 0  (b) -1\/5  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**2 + 8*l + 10. Let a be z(9). What is the closest to -1 in a, 3\/4, 4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 60445193?\nAnswer: 29, 41, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17264301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a*a**(3\/2)*a\/((a\/(a**(-6)*a))\/a)*a**13\/(a*a\/(a**12\/a)) assuming a is positive.\nAnswer: a**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pp when two letters picked without replacement from puppppuppup?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u**4 + 34*u**3 + 122*u**2 - 234*u - 324 = 0 for u.\nAnswer: -9, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kmmmkkkqkgm. What is prob of picking 2 m and 1 g?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 145 and 406?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dtatwasattawwa. What is prob of sequence wts?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-27)\/21 - -1)*-1 + 8\/(1792\/(-43))?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/4 in -98, -1, -38?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pnnp. What is prob of sequence nn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.603 and 260696.\nAnswer: 260695.397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.033307633 to four decimal places.\nAnswer: 0.0333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - 9 - (-10 + -4)) + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -65 + 25. Let x = 37 + c. Let q = -0.073 + -0.027. Sort x, 0.2, q, 3 in descending order.\nAnswer: 3, 0.2, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.222 - 0.422. What is the closest to 1\/4 in 16, 1\/6, i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 80*n - 80*n + 48*n**2.\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 2, m: 2, v: 2}. What is prob of sequence viv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20*u + 20*u - 18*u**3)*(6*u**2 - 5*u**2 + 2*u**2) - 3 - 2*u**5 + 3 + 4*u**5 + u**5 - 3*u**5.\nAnswer: -54*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 8) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -5 + 16. Let s(x) = -2*x**2 - 11 + q. Let z(h) = -7*h**2 + 5. Let b(l) = -10*l**2 + 7. Let m(g) = 5*b(g) - 7*z(g). Determine s(m(n)).\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 40 = -0*s. What is s rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((sqrt(832) + 1)*5 - sqrt(832) - (-1 + sqrt(832) + 5)))**2 + ((sqrt(52) - (sqrt(208) + -2)) + -1 + 0)**2.\nAnswer: 428*sqrt(13) + 67454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -0.9, 5, 2?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express z - 11 + 7 + 2*z**3 + 13 in the form r*z + s*z**3 + n + a*z**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -3*i + 5*d + 33, 0 = -i + 3*d + 13. Let o(x) = x**3 - x**2 + 6*x - 11. Is o(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 times -55618.3\nAnswer: 166854.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mr when two letters picked without replacement from {q: 1, z: 2, m: 4, r: 1, b: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is x in 4*x**2 - 41588*x - 83192 = 0?\nAnswer: -2, 10399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 12534120 (base 6) in base 15?\nAnswer: 83803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -68.3 + 77. Let r = -595.67 - -604. Let i = r - m. What is i rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the second derivative of -m**5\/20 - m**4\/4 - 2*m**3\/3 - m**2 - 35*m. What is t(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - (912\/(-171) + 4\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15*p**3 - 1 + 8*p**3 - 6*p + 6*p**3 - 7*p**2 to the form n + d*p + s*p**2 + i*p**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (7 - 0) - (3 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 18.463 - 13.463. What is the fourth biggest value in -1\/4, 4\/17, 0.3, z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the third derivative of m**6\/72 + m**5\/24 + m**4\/8 + m**3\/2 - 2*m**2. Let s(t) be the first derivative of c(t). Is s(-3) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**2\/2 - 5410*n - 32401509\/2.\nAnswer: (n - 13263)*(n + 2443)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2007*m**2 - 4581 + 2294 + 2289 + 2011*m**2.\nAnswer: 4*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1819?\nAnswer: 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:27 PM and 9:35 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -26 + 36 - (1 + -3 + 14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 255*((-12)\/(-220))\/(51\/187).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2251*q**4 + 32699?\nAnswer: -9004*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*v + 4*v + 3*v + 3*v.\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -23 - -26. Sort -2, z, -1, 2\/7 in ascending order.\nAnswer: -2, -1, 2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1692480?\nAnswer: 2, 3, 5, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 294634.\nAnswer: 2, 179, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -75*n + 1756 - 2356 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = -3*z + 9701, -9686 = -12*v + 8*v + 2*z. What are the prime factors of v?\nAnswer: 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-1)\/(((b\/((b\/(b*((b\/b**3)\/b)\/b))\/b)*b)\/b)\/b))\/(b*b**0*b**(-5)))\/((b**(-8)\/b)\/(b**(-3\/4)*b*b))**(-15) assuming b is positive.\nAnswer: b**(-591\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -6\/7  (b) -0.2  (c) -121497\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1.1 from 4273964348.571.\nAnswer: 4273964349.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/5, -4, 0.134, -6\/89, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvu when three letters picked without replacement from uavwamvmvvm.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*v - 4*v - 0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 738.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 127644533?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -2*d**3 - d + 1. Let v be x(0). Let g be (v + 49\/3)*18\/12. Let i = 20 - g. Let j(r) = r - 6. Give j(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 216107089.\nAnswer: 11, 347, 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 32, 36, 40, 44, 48?\n\"Answer: 4*l + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 29 - -65. Suppose 3*z + 159 = 4*l - l, 0 = 2*l + 2*z - r. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**3 - 6*b**2 + 8*b + 5. Let i be w(-7). Let m be 56\/10 + i\/(-5). Suppose -3*k - 3*f + 270 = 0, -m*f = -2*f - 20. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 3*g**2 + 3*g - 2. Let l be d(1). Factor -5*w**3 - 19*w + 24*w + 5*w**2 - 17*w**l + 12*w**4.\nAnswer: -5*w*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -3*f + 17157424. Let s = -68669217\/16 + f. Let r = s + 2475. Calculate the common denominator of -25\/2 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 130.651 - -0.349. Let u = 131.0465 - t. What is u rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 659*q - 300 = 644*q. Let x = 5 - -1. Calculate the lowest common multiple of ((-21)\/(-4))\/(x\/16) and q.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 * 3478.5\nAnswer: -695.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the first derivative of -5*o**6\/6 + 2*o**2 + 5. What is the second derivative of r(p) wrt p?\nAnswer: -100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.9 + 1. Let g = 44 + -222\/5. Which is the closest to g?  (a) 3  (b) 1  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 10*y**5 + 9044*y**4 - 5444*y**3 - 12664*y**2 + 5434*y + 3620 = 0. Calculate y.\nAnswer: -905, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 times -612?\nAnswer: -244.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyzy when four letters picked without replacement from czcyyczzyyzzyzzc.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2202341909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -1, -41 + 40 = -2*v + 5*i. Solve 3*h = h - 3*o - 5, o = -3*h + v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most as big as -1\/67195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -27 - -27.9. Which is the smallest value?  (a) -8  (b) -1\/5  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 3*k**3 - 268*k**2 + 191*k - 9077. Determine r(89).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4196291091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/4 + (-15)\/(-20). Suppose 4*f + 18 - 6 = p. Which is bigger: -2 or f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 2  (b) 1.6  (c) 1\/2  (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 4*n - 12 - 20 = 0, 0 = -5*l - n - 65. Let t be 3\/9 - 20\/l. Solve 5*r + 9 = t*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nuummmsmnqsnmnqfmqmm. Give prob of picking 1 s and 1 q.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/(-10)*(-10)\/(-20)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(192)*2 - sqrt(192))*-4 + (4 + sqrt(27)*-3)**2.\nAnswer: -104*sqrt(3) + 259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 53379 and 243.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/2707 or 8?\nAnswer: -2\/2707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -8311996 to the nearest one hundred thousand.\nAnswer: -8300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5\/2  (b) 4\/9  (c) 13  (d) -1\/4  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1437921458.8712466 + -1437921335. Let q = l - 98.87124675. Let j = q + -25. What is j rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 735*b - 356195 + 1998574 = 754*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 2, -3, 0.4, -1.1 in ascending order.\nAnswer: -3, -1.1, 0, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes before 11:34 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 739 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 5, -0.5, -2, -77.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -93\/11 - -537\/44. Determine i so that -9\/2*i**3 + 3\/2*i - j*i**2 + 3\/4 = 0.\nAnswer: -1, -1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 58 and 1915102.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -2, 3, 4 in decreasing order.\nAnswer: 4, 3, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 1\/22?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -11 times 34\nAnswer: -374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15 - -18. Solve -q - 7 = -3*s, 6*s - 4*s + t*q = 23 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**2 - 11*j - 2. Let n be a(-10). Let x be 0\/((5\/20)\/((-2)\/n)). Which is bigger: 14 or x?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -6*u + 72. What is the remainder when 68 is divided by v(8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -74 and -5.3.\nAnswer: 392.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21202*z - 59620 = -19847*z for z.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.03 + 2.97. Let l = 0.896 + -1.396. Let q = -103\/5 + 21. Which is the nearest to q?  (a) t  (b) 2\/17  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16 (base 14) to base 10\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -24*f + 94. Let h be f - (-11 - -9)*11\/2. Solve 2*n - 7 + h = -2*g, 2*g = -n - 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1*-100.8341\nAnswer: 10.08341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v**5\/v)*v)\/v**(2\/23)*(v**(-3\/4)*v)\/v**(-4\/7))**(-4\/9) assuming v is positive.\nAnswer: v**(815\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.135596 + -115.871304. Let b = -116 - a. What is b rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/(-3)*288\/640.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42332356.\nAnswer: 2, 11, 962099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Is -306973 smaller than -306971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -26*u**2. Suppose -4*r = 3*j - 293529, -r = -0*j - 5*j + 489192. Let g(q) = -14*q**2 + 97839 - j. Calculate w(g(s)).\nAnswer: -5096*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 552140 - 24?\nAnswer: 552113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1104489 + 745389. What is a rounded to the nearest ten thousand?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mvmm when four letters picked without replacement from mhmvhhm.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3781, 4519, 5267, 6025?\nAnswer: 6793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**2 - 12*t - 19. Let y be h(-10). Let f = 23 - y. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11 * 0.04066964.\nAnswer: 0.44736604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 166 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.2  (b) 1.2  (c) 14\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 74869098*j**3 + 2022724*j wrt j?\nAnswer: 449214588*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -13 - a69?\nAnswer: -a80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -34*r**3 + 40*r**2 - r**6 + 3*r**6 + 30*r**3 wrt r.\nAnswer: 240*r**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -6*l. Solve -r = -l*r - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -78 + 8 = -10*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -3*b**3 - 5*b**2 - 4*b - 2. Let o be c(-3). Suppose 2 - o = -2*y. Suppose 42 - 108 = -2*q. What is the greatest common factor of y and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60947 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 102890?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 18786.492 months in years?\nAnswer: 1565.541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is l in 5*l**2 - 19635*l + 273910 = 0?\nAnswer: 14, 3913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9 - -27. What is the tens digit of 356\/q - (-2)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (0 + -1)\/(6 - (-17419074)\/(-2903178)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -21, -1, -5, 4 in ascending order.\nAnswer: -21, -5, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + 14 = -4*q + 8*q - 4*s, -10*q = 2*s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s**(-1\/6)*s\/((s\/(((s*s**(-1\/7)*s)\/s*s)\/s*s))\/s)*s)\/(s*s**1)**(-5\/14))**(-21))**(-11) assuming s is positive.\nAnswer: s**(2497\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 68649137.\nAnswer: 181, 379277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 114 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0.006, 1, -12, -1\/2, -5, 4 in ascending order.\nAnswer: -12, -5, -1, -1\/2, 0.006, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 21*d + 6374. Let c(w) = -16*w - 4781. Calculate -9*c(i) - 7*f(i).\nAnswer: -3*i - 1589","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3408.528 grams in kilograms?\nAnswer: 3.408528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 719 - 402. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 4*o = -18. Let g = -6 - o. Let m be (-636)\/(-14) + g + 63\/(-147). What is the highest common factor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*m + 43*i + 20*i - 53*i, m + 3*i - 1 = 0 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 38*p = -4*p + 28385865. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2 - (1 - -1)*-2. Suppose o + 15 = 5*y, -y + 3*y - 6 = -q*o. Suppose 0 = -o*m - m + 20. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -93\/112 and 109\/47740.\nAnswer: 190960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 47997\/8197 - -2\/1171. Let s = -2934\/11 - -79603\/297. Let t = s - -1\/27. Calculate the common denominator of j and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 70.535 + -70.452706. Let d = u - 0.28229296. Let j = -0.2 - d. Round j to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1\/5 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 153 a factor of 1321738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 735 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/68 and -53\/3?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 43 + -42. Let j = -59 + 299\/5. Which is smaller: q or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:02 PM and 9:12 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 845164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -219*c - 2448 = -253*c. Calculate the remainder when 867 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-2\/51)*n)\/(n*n**(-32)*n))**30 assuming n is positive.\nAnswer: n**(15790\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 119 and 210?\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 38235.43 centimeters in micrometers?\nAnswer: 382354300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1960 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -67*t**3 + 7*t - 13. Let z(s) = -33*s**3 + 3*s - 6. Calculate 4*q(v) - 9*z(v).\nAnswer: 29*v**3 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 140\/(-21)*(3 + -27). What is the units digit of 6\/(-8) - (-5)\/(r\/25944)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v**(1\/5)\/v*v)\/((v\/(((v\/(v**(-1)\/v))\/v)\/v))\/v))\/((v*v*v\/(v*v**2*v)*v*v*v*v)\/((v\/(v*v\/(v\/(v**(-4\/7)*v))))\/v)))**50 assuming v is positive.\nAnswer: v**(-1130\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 11 = 4. Sort -4, f, 5, 1.\nAnswer: f, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:22 PM and 5:35 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -13730985 divided by 965?\nAnswer: -14229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 22476, 22612, 22748, 22884, 23020?\n\"Answer: 136*h + 22340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 2*b = -150125. Let q = b + -253125. What is q rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 7 = -j - 26, -3*j - w = 89. Let l = j - -84. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2.1, 0.17, -3.7 in ascending order.\nAnswer: -3.7, -2.1, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1217*y - 36 = 1223*y, -3*i = y + 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 4 - 5)*(-1 + 4 - 2*x + x)*(-5*x + 5*x + 3*x).\nAnswer: -6*x**2 + 18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-520*j**2 - 123*j**3 + 520*j**2)*(-6*j + 17*j**2 + 6*j**2 + 3*j + 3*j).\nAnswer: -2829*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -21, -48, -125, -276, -525?\nAnswer: -896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11315*i**2 + 11315*i**2 + 1750*i**3.\nAnswer: 1750*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 - -121?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 5) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 4*c**2 - 13*c**2 + 2*c**2 + 5*c**2. Let o = 4 + 0. Let z(w) = -o*w + 2*w + w. Calculate z(p(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -38578772*b + 44682219 wrt b?\nAnswer: -38578772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 5 - 3)*(10*p**3 - 6*p**3 + p + 0*p**3) to b*p**2 + f*p**3 + x*p + a and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 854*h**2 - 5125*h\/2 + 3\/2.\nAnswer: (h - 3)*(1708*h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.14171*-0.3.\nAnswer: -0.042513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*h**2*n**3 - h**2*n**2 - 95*h**2 + 418*n**3 - n**2 wrt h.\nAnswer: -4*h*n**3 - 2*h*n**2 - 190*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 - 69?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of 121211 and 4.\nAnswer: 484844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 4, g: 5, h: 4, d: 2}. Give prob of picking 2 h and 2 g.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the third derivative of g**6\/20 - 71*g**5\/60 + g**4\/12 + 1742*g**3\/3 - 39*g**2 + 15*g + 1. Find the second derivative of r(m) wrt m.\nAnswer: 36*m - 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the first derivative of -2*i**3 + 6 + 7*i**2 + i**4 + 3*i**3 - 7*i**2. What is the third derivative of z(a) wrt a?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in g**2 - 56*g - 57*g + 113*g.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(39)\/sqrt(3) + sqrt(13))**2*-5 + 1 + sqrt(52).\nAnswer: -259 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -110 (base 2) in base 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -42\/52128955 and -29\/80.\nAnswer: 834063280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 19.86757l?\nAnswer: 19867.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 482352 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 77 + -37. Let i = 55 - x. Suppose 2*b - i - 7 = 0. Calculate the smallest common multiple of b and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 188943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -74 + 42. Which is the smallest value?  (a) -2\/15  (b) 3  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 3 + -7 + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the third derivative of 5\/6*t**3 + 0 - 5\/24*t**4 - t - 19*t**2. Let s(j) = -j + 1. Let g = -2 - -3. Calculate g*r(o) - 6*s(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -10009?  (a) -4\/7  (b) 104\/11  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 + -3. Let l(s) = s**3 - 7*s**2 + 3*s + 14. Let g be l(6). Which is the closest to z?  (a) 3\/2  (b) g  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*g**2 - 27 + 27 + (6*g - 2*g - 2*g)*(-g - 4*g + 3*g) - 4*g**2 + 4*g**2 + g**2 - 3*g**2 + 0*g**2 - 3*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 178466791 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -87.05 - 0.95. Let j = g - -87. Which is the third smallest value?  (a) 0.5  (b) 1\/16  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90 = 5*i + i. Calculate the highest common factor of 10 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 + 3 + -25 + (-6 - -5) + -10?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-207)\/253 - (-2)\/(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the second derivative of -2*j**6\/15 + 9*j**3\/2 - 19*j**2\/2 - 12*j. Let o(c) be the first derivative of q(c). What is the derivative of o(u) wrt u?\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*g + 6*g - 8*g + (7 - 2*g - 7)*(-1 + 5 - 3) as z + n*g and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**3 - 15*f**2 + 12*f + 16. Let p be l(14). Let t = p - -16. What are the prime factors of 0 - (-84)\/t - -2?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddddkkdddkddddkddddk. Give prob of sequence dkdk.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 18 - 17. Let q be 1*z\/(-2)*28. Let f be (-30)\/84 - (-2)\/q. What is the smallest value in f, 0, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 8*w + 198. Give d(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -22 + 12. Let i(w) = 5*w**2 - 4*w**2 - 2*w**2 - 7 - 11*w. Let x be i(s). Solve 2*d = -x*d + 2*m - 8, d + 12 = 3*m for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.840247 rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -185*h + 79. Let n be f(-5). Let s = n - 608. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + (-1 + 8 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 797422 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**3 + 2*z**2 - 4*z - 4. Let q be w(-3). Let f be (2 + -9 + -1)*q. Solve -3*g + 15 = 0, 5*g - 41 = 4*o - f*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 80295 and 2385?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 60\/18*(-48)\/40. Let w be t - (-6 - (6 - 12)). Put w, -13, -3 in descending order.\nAnswer: -3, w, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 1052326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of -4*(2442\/(-8) - 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -28299 - -28386. Solve 41*z - 12*z - v = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + -28 - (-19 - 93)) + -14?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/15, 0, 0.4, -2, 11\/2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -10*(-1)\/(-3)*(-15)\/10. Suppose 5*i = p - 4, -12 = -2*p - p - k*i. Solve p*m + 6 - 1 = b, m + 3*b = 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -10 and -300794.9770394.\nAnswer: -300804.9770394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 1290*a**3 - 1311*a**2 - 10*a. Let q(h) = -h**3 - 2*h**2 - 2*h. Let o(n) = 5*q(n) - u(n). What is the third derivative of o(f) wrt f?\nAnswer: -7770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1226633 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/3 or 763391?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.8 minus 9311262274.2?\nAnswer: -9311262271.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -q - 27*q - 14*q - 5*q.\nAnswer: -47*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(-5 + 1*(sqrt(605) - (sqrt(605) + (sqrt(605)*-1 - sqrt(605))*-4) - sqrt(605)) + (sqrt(605) + -1 + -4)*-3)*5)**2.\nAnswer: -264000*sqrt(5) + 8722000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 136307368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**2 + m - 1. Let j(n) = 5*n**3 - 5*n**2 + 3*n - 3. Give -j(d) + 3*k(d).\nAnswer: -5*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (b + 1 - 1)*(176 - 20*b + 48*b - 26*b) to g*b + q + a*b**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0014646018233 rounded to five decimal places?\nAnswer: 0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 14 = v, 69*k - 54 = -5*v + 65*k. Solve -3*b + 4*r - 10 = v, 0 = -2*b - r + 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4*(-12)\/672*20\/(-15)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001462464 rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -3 * 18181\nAnswer: -54543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**2. Let g = -4 + 7. Let m(k) = -2*k**2 + 17*k - 9. Let f be m(7). Let v(i) = 12*i**2 - f*i**2 - i**2 - 1. Determine g*v(d) - 2*r(d).\nAnswer: -d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.43 + -1.88. Round d to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 28*n - 32. Let g be i(5). Let b = 100 - g. List the prime factors of (-78)\/b*((-50)\/(-3) - -2).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1086*j**2 + 1088*j**2 - 27*j + 26*j - 17*j**3 to the form k*j**3 + m*j + b*j**2 + o and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((sqrt(1053) + 1*sqrt(1053) - ((sqrt(13) - (-1 + sqrt(13))) + -2)) + (-2 + -1*sqrt(325))**2).\nAnswer: -1980 - 228*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 84253.09 micrometers to centimeters.\nAnswer: 8.425309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 74\/5 of a microgram in nanograms?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 30502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 32*r - 27*r - 5*f - 210165, -4*r + 168096 = 5*f. What are the prime factors of r?\nAnswer: 13, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1  (b) 12\/119  (c) 2\/11  (d) -2  (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-2\/7))**(2\/7)\/(c**(-1)*c*c*(c\/c**(2\/11))\/c)*(c\/c**2*c*c*c\/((c*c**(3\/8))\/c))**(-14) assuming c is positive.\nAnswer: c**(-50989\/2156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 97.16 + -96.96. Sort f, 4, 0.05, 0, 14\/3 in decreasing order.\nAnswer: 14\/3, 4, f, 0.05, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 6\/11  (b) -126  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -93.34 - -60.07. Let l = 4.37 + f. Let o = l + 29. What is the biggest value in o, -3\/4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5*(-448)\/320 + -48.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -51 + 53. Suppose 5*n + 253 = r*c, 122 = 2*c - c - n. What are the prime factors of c?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 188417.\nAnswer: 188417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7?  (a) -0.5  (b) -12  (c) 0.2  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -2098192.7 and -2.4?\nAnswer: 2098190.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-51714)\/(-507)*((-10)\/4)\/(2\/(10\/(-25))).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*g**(-1)\/g)**(-18\/5)*(g*g*g**2)\/(g**2\/g))**(-7))**(-7\/12) assuming g is positive.\nAnswer: g**(539\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 8400330 rounded to the nearest 10000?\nAnswer: 8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 214*f**3 + 3*f - 3*f.\nAnswer: 214*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 29 = 4*h, 8*c + 3*h = 9*c - 1. Suppose -9*d = c*d - 352. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 984 * -15.\nAnswer: -14760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 0 = -2*k + 21, 2*k = 3*x - 3. Suppose 0 = x*g - 39 + 9. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -5*k + 3. Let f be i(2). Let h(y) = -4*y - 14. Let r be h(f). Solve 5*u = -5*j + 3 - 18, r = -4*j - 5*u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2*797\nAnswer: -1594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 663328703.\nAnswer: 19, 661, 52817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 3*s - 333, 4*q - s - 256 = -6*s. What is the third derivative of 2*z**2 - 82*z**4 - q*z**4 - 31 - 35*z**4 wrt z?\nAnswer: -4464*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 71*b**2 + 12*b + 19. Let y(d) = 2*d + 2. Let x be y(-6). Is r(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + 503 - 583. Let o be 5 + ((-5)\/(-2))\/(20\/p). Solve -k + 2*k - 10 = -3*x, o = -2*x - 4*k for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 34\/8 - (28\/(-16))\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-9 - -11)*(-2)\/4 - -33. Calculate the highest common divisor of 48 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*h**2*w**3 - 5*h**2*w**2 + 2*h**2*w - 39*h*w**3 + 20*h - 2*w**4 wrt w.\nAnswer: -18*h**2 - 234*h - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 2*r - 8 = 0. Suppose 1944 = r*n - 4*g, -2*g + 8 = -6*g. Is (n\/(-6))\/((-8)\/12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/4  (b) -0.4  (c) 1  (d) -0.5  (e) 44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 498 = 4*s - 696, 4*s = -4*n - 1592. Let t be (n\/(-4))\/((-5)\/(-70)). Suppose -10*l = -3*l - t. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 - 1 + 66724*c**3 + 7.\nAnswer: 66724*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1 + (0 - 1\/(-4)). Let v = 0.09 + -1.29. Let y = -1.4 - v. What is the smallest value in y, j, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -651 - -963. Is n a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 + -3 + 96 + -8 + (-10 - 0 - -1)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -756, -6109, -20632, -48909, -95524, -165061?\nAnswer: -262104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 4, d: 3, l: 1, i: 1, w: 8}. Give prob of picking 1 f, 1 i, 1 d, and 1 w.\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**2 + 38*d - 755. Is 8 a factor of z(51)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 457444800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 240, 233, 230, 237, 260, 305, 378?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 13*m + 4162. Is 12 a factor of s(-70)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 97549.\nAnswer: 97549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*o**2 + 3*o**2 + 2*o**2 + (3*o + 0*o - o)*(1 - o - 1) - 1585*o + 1585*o + 13*o**2.\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -10\/549, -2\/9, 4?\nAnswer: -10\/549","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.08 and -0.09532259.\nAnswer: 0.0076258072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 106245968 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 0.1  (b) 7  (c) 0.4  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 50 = -2*c - c, -147 = -5*h + 2*c. What are the prime factors of h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(90)\/sqrt(5)*3)\/(sqrt(9) + (sqrt(9) - ((2*sqrt(81) - sqrt(9)) + sqrt(9)))).\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0012907 to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -313 (base 9) in base 14?\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3294 and 1342.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 smaller than -100\/5961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -71 by -1.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*b + 6*b = -7. Suppose -18*y = -b*y - 176. Find the first derivative of -y - 2*g - 16*g + g wrt g.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -u - 2*u + 5*u + 1 - u - 1 + (-1 + 1 - 2*u)*(3 + 1 - 2) + u + 0*u + u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 20790 and 280?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 266841691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 56 and 17038.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21379 (base 12) to base 6.\nAnswer: -534233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 866 = 2*j, -9 = -0*j + 3*j. Let v = -1958\/9 - d. Factor -22\/9*z + 30*z**3 + v - 2*z**2 - 42*z**4.\nAnswer: -2*(3*z - 1)**3*(7*z + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 203*r - 114 = -1129 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1279913 + -37102922\/29. Suppose 0 = o - 3*l - 517, 81 = 3*o - 5*l - 1450. Let m = d - o. Which is bigger: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13067345\/419 + -31187. Let i be 1 + 2 + (-41545)\/3352. Let f = i - m. What is the common denominator of 39\/8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2, -8, -24, -56, -110, -192, -308, -464?\nAnswer: -666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -26 - -31. What is the second derivative of -2*l**a + 16*l**5 + 7*l + 0*l - 3*l wrt l?\nAnswer: 280*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 60\/16 + (-3)\/4. Suppose -z + 200 = x*z. Suppose 12 = -2*g + z. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 4*b - 14 = -0*b, -20 = -4*v + 3*b. Suppose -4*o + 6 = v. Is 1\/23 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.35 + -80622962?\nAnswer: -80622951.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**3 - 14*v**2 - v + 17. Let r be (-1 + 8)\/((-8)\/(-16)). Let o be u(r). Factor 2\/3*p + 4\/3*p**4 + 0 + 10\/3*p**o + 8\/3*p**2.\nAnswer: 2*p*(p + 1)**2*(2*p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*(-2)\/12*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 3, q: 3, n: 1, o: 4}. What is prob of picking 1 o, 1 g, and 1 q?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -660*i = -349*i + 7 - 7 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Find x such that 49*x**3\/2 - 1162735*x**2\/2 - 19621276*x - 165438006 = 0.\nAnswer: -118\/7, 23763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/1 + (-32)\/(-8). Differentiate 105*u - 105*u - 30*u**g + 32 with respect to u.\nAnswer: -60*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((sqrt(567) + -3 - sqrt(7)) + -3*sqrt(7)*2)**2*3.\nAnswer: -36*sqrt(7) + 106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10019.63070772 - 159815.29829508. Let y = f + 169835. Let x = 0.071 - y. Round x to 7 decimal places.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 22*h**3. Let l be a(1). Solve -10 = -2*w - 5*d, 2*w = -0*w + 3*d - l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1977 - -9776. What are the prime factors of i?\nAnswer: 11, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 10 - 4*o**2 + 14*o - 2*o**2 + 7*o**2. Let m be a(-13). Let r(h) = -h - 1. Let z(p) = -2*p - 1. Determine m*r(v) + z(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w**17*w))\/w**(-14)*(w*w**(-13\/2))\/(w*w**(-15)) assuming w is positive.\nAnswer: w**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 40 (base 6) to base 14\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -2*x**3 + 13*x**2 - 1121*x + 7930. Determine v(7).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 + -2. Let f(j) = 2*j**2 + 139*j + 208. Let n be f(-68). Suppose a*r - n*u = 56 + 32, 0 = 2*r - u - 88. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*c - 24*c + 7 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -88*l + 9. Let h be j(-1). Let k = -65 + h. Suppose 10 = 2*s - 0*s. Calculate the remainder when k is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((r\/((r\/r**10)\/r))\/r)\/r*r)\/((r**5\/r)\/r*r))**(-24\/11) assuming r is positive.\nAnswer: r**(-144\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 3) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000011872 to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**2 + 134*j - 4345.\nAnswer: -(j - 79)*(j - 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*v**2\/4 - 3845*v\/4 - 1925\/2.\nAnswer: 5*(v - 770)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -16*f - 4 + 73*f**2 - 71*f**2 + 84*f. Let r be b(-29). What is r rounded to the nearest 10?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2215 at least as big as -2216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(133) + sqrt(133) + sqrt(133) + sqrt(133))*-6 + sqrt(133))\/(-2*sqrt(7)*3).\nAnswer: 11*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/2*(17\/68*-1)\/((-2050)\/200).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 5*h - 45, 4*n - 27 = -3*h - n. Let b(r) = 4*r**2 - 9*r - 4. Is b(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y, 4*o - y = -4*y + 28. Which is smaller: o or 10?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 8*o**2 - 546*o + 32. What is c(68)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*a - 152 = 3*a. Solve 0*o = -3*o - 5*j - a, -5*o = 5*j + 25 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 10, 23, 34, 43, 50, 55, 58?\n\"Answer: -u**2 + 16*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1 - -2)*11*16558\/374. Solve -419 + i = -17*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*b + 4*b**2 - 2*b + 2*b + 2*b**2 - 2*b + (3*b**2 + 2*b**2 - 6*b**2)*(1 - 1 - 1) + 5 + b**2 - 5 - 28*b + 28*b + 2 - 3*b**2.\nAnswer: 5*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + w + 27 = -0*w, -w = -2*q + 55. Let o = q + -12. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 64\/5 - 13. Let s = -2 + -3. What is the second smallest value in s, t, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t + 827 - 3483 = 0. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.6584 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the first derivative of -p**7\/70 + 3*p**6\/10 + 91*p**2\/2 - 13. Let x(f) be the second derivative of b(f). What is v in x(v) = 0?\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 24933678*j. Let q(d) = d. Calculate h(q(i)).\nAnswer: 24933678*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4, 0.4, -0.3, 5, 230, 161\/4, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/x**(-2\/3)*x)\/x*x*x)**(-24\/7)*(x\/(x**0\/x))**(11\/4) assuming x is positive.\nAnswer: x**(-99\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(-57))\/(12 + 2706\/(-209))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:16 PM and 9:11 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 - -16. What is the least common multiple of r and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 3*s - 10. Let p(v) = -3*v + 11. Let b(k) = 4*i(k) + 3*p(k). Suppose -4*t + 25 = t. Let m be b(t). Which is greater: m or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -305 + 318. Solve q = 3*w + 16 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 991 - ((-2 - -3) + 0). Suppose 3*g - t = g. Suppose 0 = -4*j - j + g. Calculate the highest common divisor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22\/(-18) + -2 - -3\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 147 = -5*q. Let c = q + -66. Let g = c - -18. Solve -2*x + x = -g for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-9)\/((-324)\/8) + 511\/9. Suppose -n*w = -66*w + 27. Let q(t) = t**2 - t - 1. Determine q(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 4*v**3 - 5*v**2 - 44*v + 165. Let z be h(5). Calculate the greatest common factor of 110 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 18 - 16. Suppose y - 57 = -r*y. Solve z = -3*g + 1 - y, -2*z = 6 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*j + 4*j + 6*j + (-1 + 1905*j - 487*j + 1 - 740*j)*(1 - 3 - 1).\nAnswer: -2027*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -663\/1986979 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 11 and 2111252?\nAnswer: 2111252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 131811482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:16 AM and 5:00 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(847) + -1 + 3)**2.\nAnswer: 44*sqrt(7) + 851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -1783.25889 to the nearest integer.\nAnswer: -1783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 135835136 to the power of 1\/2, to the nearest integer?\nAnswer: 11655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.7, -49, -6, 2 in ascending order.\nAnswer: -49, -6, 0.7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 2*d**2. Suppose l + 0*l = 0. Let x be 8\/4 + (0 - l). Let w(a) = -x*a - 3*a + 3*a. Calculate w(i(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**6)**(-26\/9)\/(x*x\/x**(-28)*x**18) assuming x is positive.\nAnswer: x**(-614\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 3*d - 7 = 0, -2*p + p - 4*d = 24. Let m(n) = -2*n + 23. Let a(c) = c - 12. What is p*m(u) - 7*a(u)?\nAnswer: u - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-seven quarters of a year?\nAnswer: 81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 392*f**2 - f. Is h(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 29*i**3 - 2*i**2 + 2*i - 4. Let b = -3 - -9. Let a be g(b). Round a to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, h: 5, e: 2, k: 3, s: 5}. What is prob of sequence hkk?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 200200 (base 3) in base 9?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -2*c. Let m(a) = -a**2 + 6*a + 2. Let g be m(6). Let v(f) = 4*f**2 - f**2 - f**2 + 4*f**g. What is o(v(n))?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4*(-5)\/(10 - 5). What is the third smallest value in 0.3, 3\/16, 3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 5 + 4 + 7182\/7. Let t = s + -246. What is the remainder when t is divided by 99?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6.82 - -0.97. Let a = o + 0.05. Let n = 1.3 + a. What is n rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 46852 divided by 4.\nAnswer: 11713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 5*w - 5 = 0, 3*w = -11*r + 6*r - 10. Which is the closest to -1?  (a) -1\/6  (b) -1\/4  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7784 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: Simplify (p**0\/p*p)**(-43)\/(p**(4\/7)*p*p)**(1\/28) assuming p is positive.\nAnswer: p**(-9\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -12844\/7 or -1835?\nAnswer: -12844\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 11178 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -8*s**3 - 52*s**2 - 30*s - 33. Let f be d(-6). Let l(x) = 14*x**2 + 6*x - 3. Determine l(f).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/9?  (a) 2  (b) -32  (c) 4  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2835086 is divided by 1172.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the first derivative of x**6\/27 - 4*x**5\/45 + x**4\/18 - 3. Solve o(c) = 0 for c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101011100101111101101100 - -11?\nAnswer: -101011100101111101101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) 2\/1991  (c) -295.6  (d) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -13) + (151 - (39 - -51))\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10020200112 + -102002210?\nAnswer: -10122210022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 371\/50 - -37\/25. Find the common denominator of -53\/8 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 = -18*m + 2*m. Suppose 3*z = m*k - 6917, -5*k = 5*z - 10*z - 6915. What are the prime factors of k?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-1 + 1*sqrt(200)*4) - (-4 + (1 + sqrt(242)*2 - (0 + 1*sqrt(242))))**2.\nAnswer: -253 + 146*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jzszrjzzszzzzwzzzrr. What is prob of picking 1 r, 2 z, and 1 s?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -5*g + 1. Let r be y(-1). Suppose 2*l = r*l - 68. What is the remainder when ((-48)\/(-18) - 2\/(-6)) + 29 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, w: 11, m: 1}. What is prob of picking 3 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2627 + 2627. Let p(n) be the third derivative of -18*n**2 + 0 - 5\/42*n**5 + s*n - 5\/42*n**4 - 1\/21*n**3. Factor p(u).\nAnswer: -2*(5*u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 4*y + 8 = -12, -2*y = 5*i + 19. Suppose 5*m = -5*a - 5 - 0, -17 = 3*a - 4*m. What is the tens digit of 69 - 1\/a*i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**3 + 4*p**2 - 4*p + 7. Suppose -h - 3 = -o, -5 = -0*h - h + 5*o. Let j be u(h). Suppose 4*g + 4*i - i - 3800 = 0, -g + j*i = -939. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**(3\/2)\/b)**(1\/27)*b**(-1\/5)\/b**(-4) assuming b is positive.\nAnswer: b**(347\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 3*s, -3*y = -2*s + 185 - 473. Solve -y = -39*k + 95 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**2 - 1. Let u be v(-1). Suppose 4*i + 61 = 69. Suppose -j - 3*d - 4 = -i*j, -3*j + 3*d + 12 = u. Solve -5*w - 3*l = -35, 3*l + 5 = j*l for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-1)\/(-4))\/((2\/11)\/((-16)\/(-22))). Suppose 2*m = -5*a + 30, -5*a + 27 + 8 = 3*m. Put -1, f, 4, m in ascending order.\nAnswer: -1, f, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*o - 18*o = -21. Let z = o + 225. What are the prime factors of z?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 - 0.03120241\nAnswer: -7.03120241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 99, 202, 305, 408, 511?\n\"Answer: 103*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 111\/730 and 37\/9417.\nAnswer: 94170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5275.50325 - -4391.8.\nAnswer: -883.70325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*i - 2110*z + 2096*z - 28 + 67, -3*z - 65 = 5*i for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -11, -81260, -5, 5 in descending order.\nAnswer: 5, 3, -5, -11, -81260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-59 + 276 + 88)*(4 - 2 + 0)*(q**4 - 6*q**4 + 3*q**4).\nAnswer: -1220*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*a**2 + 249 - 58*a + 96 - 72*a**4 + 55*a + 2*a**2 with respect to a.\nAnswer: -288*a**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -402.92 - -257.4. Let i = -3.52 - p. Let v = i + -142.0000161. What is v rounded to 6 dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(2\/23))**(6\/25) assuming h is positive.\nAnswer: h**(12\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**2 - 2 + 6 - 2. Let p be i(-2). Let v = 8 - p. Solve -v*j = -3*j - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 2470*j + 2466*j = 4933*j + 27, -17*j = -68 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -98*m - 11 = -52*m + 771 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 8) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9596291 is divided by 587?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 33042?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**2 + 5*g - 4. Let n be p(4). Suppose 0*f - 2*f + 7402 = n. Let b = f + -14717\/4. Calculate the common denominator of b and -44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-2\/7)\/(i**0\/i))\/(i*i*i**(-2\/13)\/i*i*i**4))\/(i\/i**(1\/7)*i**(-7))**(19\/6) assuming i is positive.\nAnswer: i**(1117\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 2*s - 8. Let t be p(7). Let j(q) = 11*q - 40. Let u(w) = 7*w - 26. Let r(x) = 5*j(x) - 8*u(x). Determine r(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 8*m**3 - m**2 - 99*m - 63. Let t(s) = 4*s**3 - 48*s - 32. Let z(y) = 4*j(y) - 9*t(y). Let z(x) = 0. What is x?\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -25.179 + 22.179. Which is the second biggest value?  (a) h  (b) 127  (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4768 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1a8a520 (base 11) to base 6\nAnswer: -203144304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**3 + 3*f**2 + 4*f - 1. What is h(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -27 + 101. Is s a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the third derivative of 411*r**8\/56 + 323*r**5\/20 - r**4\/24 + 72*r**2. Find the third derivative of l(h) wrt h.\nAnswer: 147960*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 5*j - 5. Let h(k) be the second derivative of k**5\/30 - k**4\/6 - k**3\/6 - 4*k. Let g(f) be the second derivative of h(f). Give 3*g(t) - 2*i(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000053187171 rounded to 7 decimal places?\nAnswer: -0.0000532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -203244030 (base 6) in base 8?\nAnswer: -15334462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r. Let y = 19 - 7. Suppose -4*p - x = -20, 0 = -0*p - 2*p - x + y. Let d(b) = -9*b - 12*b - p*b - 7*b. Calculate d(s(f)).\nAnswer: -32*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vcv when three letters picked without replacement from {v: 2, c: 13, r: 1, h: 1}?\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the first derivative of 2*b**3\/15 - 277*b**2\/10 + 138*b\/5 - 1059. Factor x(f).\nAnswer: (f - 138)*(2*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 53\/2 + -615\/22. Let c = 20009\/5087364 + -13\/6042. Let z = -36197\/5052 - c. Find the common denominator of j and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (3*a**2 + 4*a**2 - 6*a**2)*(-5*a**2 - 4*a**2 + a**2) + (-21*a**3 + 2*a - 3*a**3 + 0*a**3)*(-4*a + 0*a + 3*a).\nAnswer: 16*a**4 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3709 + -3709.048. Put 0.07, 0.1, o in increasing order.\nAnswer: o, 0.07, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 21*u**3\/5 + 333*u**2\/5 + 1656*u\/5 + 528.\nAnswer: 3*(u + 4)**2*(7*u + 55)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 33914 and -0.055.\nAnswer: -1865.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1011010010100100 (base 2) in base 3?\nAnswer: -2100102202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -25.6637 + -2.5703. Let j = 28 + z. What is j rounded to 2 dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kggigyiygyskgg. What is prob of picking 1 y and 1 k?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3294.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2242559.287453 - -51?\nAnswer: 2242610.287453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from riyykieiyieyiey. Give prob of sequence ekey.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**2 + u - 4. Let z be b(-4). Suppose 3*m - 49 = -5*n + 74, n - m - 23 = 0. What is the greatest common factor of z and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 649*o**3 - 8*o**2 + 76 wrt o?\nAnswer: 3894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9399*g**3*r**2*y**3 + 445*g**3*r**2*y + g**2*r**2 - 66935*g**2*r*y**3 - 17*g**2*y**3 - g*r**2*y**2 + 2*y**3 wrt g.\nAnswer: 56394*r**2*y**3 + 2670*r**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**2 + 10*d + 1. Let p(w) = -2*w. Let t(o) = 2*j(o) + 11*p(o). Let k be t(2). Suppose -i = -k*i - 25. Let x(u) = u**2 + 4*u - 5. What is x(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 152841\/7 - 7946997\/364. Let q = -652741\/1482 + 8396\/19. What is the common denominator of l and q?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24 + 3 - 16 - (12 - (4 + 2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25097 = -2*c - l, -312*c - 4*l = -307*c - 62744. List the prime factors of c.\nAnswer: 2, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4*(-175)\/(-28)*1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 310, 625, 948, 1279, 1618, 1965, 2320?\nAnswer: 2683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2426 is divided by 63.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 - -20. Calculate the remainder when q is divided by (-6)\/(6*1\/(-8)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - d + 0*d - 63 = 0, 0 = 3*r - 5*d - 43. What is the least common multiple of 20 and r?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(133) - -1*(sqrt(133) + 1*sqrt(133)))\/(sqrt(567)*2).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 11*d - 6*d. Let r be (475\/(-6))\/(-19) - d\/6. What is the greatest common divisor of 6 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 2) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.0621 in 1.35, 2\/5, 1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand y**4 - y**4 + 2*y**4 - 2*y + 2*y - y**4 + (-18*y**2 + 3*y**2 - y**2)*(y**2 + 0*y**2 - 3*y**2) + 2*y**3 + 13*y**4 - 59*y + 59*y.\nAnswer: 46*y**4 + 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1480 divided by 370?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.004 - -4.004. Let b = 3.02 + -0.02. Let m = -2 - b. What is the closest to 0.1 in m, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -170 (base 15) to base 3.\nAnswer: -110020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -53 divided by 2204\nAnswer: -53\/2204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 14 - 4)*(-289*j - 250*j + 432*j).\nAnswer: -1605*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in -10\/13, 0.3, 0?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**2 + 5*m - 29. Let u be c(-14). Let f = u - 57. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 510 (base 6) to base 15\nAnswer: c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 76 = 5*t, 4*k + 79 = 2*t + 171. Calculate the remainder when 22 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*(-9 - 90\/(-12))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**3 + 7*m**2 + 3*m - 16. Let j be f(7). Suppose 320 = 2*l + 4*y, -y = -3*l - j*y + 484. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 7*q - 3*o = 47, -1 = q + 2*o. Let m be (-30)\/q - -4 - 32\/(-14). Solve m*c + 2 = -2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the third derivative of -s**4\/12 - s**3\/2 + 4*s**2. Let a be n(-3). What is the greatest common divisor of a and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 14\/10 + 26\/(-65). Let x = m - 5. Sort -1, 1, x in descending order.\nAnswer: 1, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(1900)*-1 + 5 - ((sqrt(1900) + sqrt(1900) + sqrt(1900) + -2 + sqrt(1900) - sqrt(1900)) + 3))*3)**2*-3.\nAnswer: -7391088 + 77760*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 + 4\/7. Let u be 14\/4 + 2\/4. Let d = 0.2 + -0.4. Put d, c, u in increasing order.\nAnswer: c, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 250879787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*q + 101 = 173 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 3632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -4853*l**2. Let k(x) = x**2. Give k(r(m)).\nAnswer: 23551609*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-6)\/(-4))\/((-2)\/(-4)). Let q = -0.425 - -1.425. What is the second biggest value in q, 0.5, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 + 9. Let c(u) = -u**3 + 6*u**2 + 5*u - 4. Let n be c(8). What is the smallest common multiple of (-2)\/(-6) - n\/12 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r + r - 2*r)*(2*r**3 - 3*r**2 + 3*r**2).\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2616022, -2616041, -2616074, -2616121?\nAnswer: -2616182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - (-16 + 6 - -6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*q - 2 = -5*u + 30*q, -3*q = -u - 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aiiyiiaauy. Give prob of picking 3 a.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7*z + 326.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**2 + 9*f + 18. Let y be k(-7). Suppose 0 = -w + 2*z - 3 - 5, -y*w + 5*z - 23 = 0. Let n = -3 + 2. Which is the smallest value?  (a) n  (b) 2  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2358)\/(-99) - 6\/(-33). Let r be (-9 - -6)*-2*2\/t. Factor -1\/4*z - 1\/4*z**2 + r.\nAnswer: -(z - 1)*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g - 4. Let l(d) be the third derivative of -d**4\/24 - d**3\/2 + 2*d**2. Give -3*l(v) + 2*y(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 516 and 144093?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/((-2)\/1))\/((-959)\/274).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2\/3)\/((-2)\/(-12)). Let a be -20*((-10)\/r)\/(-5). Calculate the remainder when 5 is divided by ((-16)\/20)\/(4\/a).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/84279558 and 41\/27?\nAnswer: 758516022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -30069.5421 and 14.4?\nAnswer: 30083.9421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 7, 5, 1, 1\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -87 + 0*d**2 + 174 + 2*d**2 in the form h*d**2 + a*d + z and give z.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1594*l**3 + l**2 + 942*l**3 - 913*l**3.\nAnswer: -1565*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(66)*1 - sqrt(66))\/(-2*sqrt(96) + sqrt(6)).\nAnswer: 5*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 157 is divided by 78.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 293 - 302. Let n(f) = -2*f**2 - 6*f + 112. Let d be n(g). Solve -d*j + 78 = 98 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 923742 and 3078.\nAnswer: 8313678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05 - 23194664644959?\nAnswer: -23194664644959.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 88\/615 and 51\/164?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjccccccccjzjjcccc. Give prob of picking 1 j and 1 c.\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*u**5\/2 + 5871*u**4\/4 + 18453*u**3\/4 + 13563*u**2\/4 - 975*u\/4 - 969\/2 = 0.\nAnswer: -323, -2, -1, -1\/2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fef when three letters picked without replacement from {f: 9, e: 4, i: 1}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 - -23?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 <= 10\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1043302 (base 5) in base 8?\nAnswer: -44221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -10*m**2 + 7*m - 10. Let r(v) = -5*v**2 - 2*v + 2 + 7*v - 2*v**2 - 9. Calculate -5*j(z) + 7*r(z).\nAnswer: z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -2394 + 6551.5424?\nAnswer: 4157.5424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ad (base 15) in base 10?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-29785)\/(-83398))\/((-415)\/28)?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*g + 545 - 110 = -24*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 17*r - 85. What is b(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -633 + 520. Are -113 and w unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -5*r + 18147, 4*r - 9807 = -2*j + 4707. Is r a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-168)\/(-7))\/((-1)\/(-1)). Suppose -3 - z = -3*x. Let b be (-2)\/4 + x\/6. Is 7\/4 less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2 - 3\/(3\/2). Does -1 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the first derivative of -o**6\/120 - o**5\/60 + o**4\/8 - o**3\/6 - 3*o**2 - 18. Let l(b) be the second derivative of t(b). Give l(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**2 - 4*g + 4. Let n be d(-4). Let i(f) = 2*f - 6. Let w be i(n). Let m(p) = p**2. Let a be m(w). Solve -a*r = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -443341102*l**3 + 4830*l + 5319?\nAnswer: -2660046612*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 4*j**2 + 16*j - 2. Give m(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 17 + -21 - (4 + 1 + -1). Let c(x) = -3*x - 24. Let a be c(r). Solve a = u - 2 - 3 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 + 1 - -1) + -2 - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -3  (b) -1\/2  (c) -0.1  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**2 - x - 1. Let r(s) = -10*s**2 - 11*s - 5. Let k(j) = -5*o(j) + r(j). Find the second derivative of k(n) wrt n.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 + 201010?\nAnswer: 201010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/10*(555\/1776)\/(5\/28).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3\/2*-1*(7168\/(-24))\/(-14)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -117 by -613.\nAnswer: 117\/613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pwppvvpppppvwvpvwpw. What is prob of picking 1 p and 1 w?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*x = 4*b - 2*x - 16, 2*b + 2*x - 20 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 24*r = 37*r - 40356. What is the greatest common factor of 42 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 11.2 and -388.92.\nAnswer: -4355.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 191\/104940 and -113\/7420?\nAnswer: 734580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -95 - 1920*a + 165 - 36 - 167*a**3 - 33 wrt a.\nAnswer: -1002*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-81)\/(-2376))\/((-63)\/12). Which is greater: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2, -152, -4, -7 in descending order.\nAnswer: 2, 1, -4, -7, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*x + 14*x = 0. Solve x = j - u, -5*j + 0 = -u - 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 90*d**2 + d + 519 wrt d?\nAnswer: 180*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 22.52+0.6558275\nAnswer: 23.1758275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the first derivative of -9*o**4\/2 - 2*o**3\/3 + o - 13. Calculate y(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 101?  (a) -4  (b) -47  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -12*b**2 - 4*b. Let o(i) be the second derivative of -2\/3*i**3 - 5*i + 0*i**2 + 1. What is o(l(h))?\nAnswer: 48*h**2 + 16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/782592 and 73\/122280.\nAnswer: 3912960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10344631*d - 3*d**2 - 10344631*d + 8*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -19, 3, 4 in decreasing order.\nAnswer: 4, 3, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 16803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 18 + (2 - 8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3529\/255 + -69\/5. Let z = w - 19\/51. What is the closest to -1 in -0.4, z, 7\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -15771964?\nAnswer: -1\/7885982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 314 - 930703*o**2 - 314 + 930697*o**2.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d and 1 w when three letters picked without replacement from {o: 1, w: 7, d: 2, u: 2}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1652 = -25*v - 49*v - 44*v for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add together 100370.344 and -0.02.\nAnswer: 100370.324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 61 - 60.973. Let x = z - 0.027. Which is smaller: x or 7\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 35 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 15983 - (-28)\/(224\/(-216))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 39*c + 2889. Determine i(-74).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 - -92. Suppose -d + 60 = -5*s, 3*s + c = 5*d - 188. Calculate the remainder when d is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*n - 9*n + 25 = 0. Solve -n = 5*m - 5*t, -4*t + 1 + 15 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b + 1. Let h(y) = 7*y - 11. Let k(o) = -6*d(o) - h(o). Let x be k(3). Find the first derivative of -1 - i - i + 8 - x*i wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 122 + 4346306?\nAnswer: 4346431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**3 + 3*n**2 - 15*n - 42. What is a(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*t + t. Suppose -f - 2 = k - 0*k, -3*f + 1 = -t*k. Let c(g) = -4*g**3 + g**2 + g. What are the prime factors of c(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a**4 + 1060*a**3 - 55110*a**2 - 113420*a - 57245 = 0.\nAnswer: -1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -293*z - 807. What is the thousands digit of k(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1271274600 rounded to the nearest 1000000?\nAnswer: -1271000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 18 + -15. Let x be a\/18 + (-1978)\/(-12). Let b(g) = -15*g + 255. Let n be b(16). Calculate the greatest common divisor of n and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*t + 1250 = -19*t + 27*t for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 198 is divided by 146?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of y*z**2 + y*z + y + 362*z**2 + 3*z + 15 wrt z?\nAnswer: 2*y + 724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2*(3 + 21\/(-6)). Let h(s) = 3*s**2 - 5*s + 3. Let d(q) = q**2 - q + 1. Give y*h(t) - 5*d(t).\nAnswer: -2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {d: 5, y: 1, a: 1, w: 2}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (24*j - 19*j + 14*j)*(-9 + 11 + 13) - 2 + 2 + 2*j.\nAnswer: 287*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -44.2 - -86. Let k = -1.69 - 27.31. Let b = l + k. What is b rounded to zero dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -127\/8250 and -18\/9625.\nAnswer: 57750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kuu when three letters picked without replacement from {k: 4, u: 7}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 280*d**5 + d**2 - 774*d.\nAnswer: 5600*d**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 2*c + 3. Let q(s) = 2*s + 4. Let g(b) = 3*q(b) - 4*t(b). Let z(m) = -64*m**2 + 59*m**2 - 2411 + 2415. Determine g(z(i)).\nAnswer: 10*i**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and -1 - (6\/(-3) - (31 - 0))?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.3 and -2013.\nAnswer: 4629.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/(-2) + 966\/(-276).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31 - 68 + 27 - 26 + 34 - 8*m**2.\nAnswer: -8*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 + 4 - 2) + (11 - 18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -30*i - 339 + 339 as p*i + g and give p.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 28.16918m?\nAnswer: 0.02816918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3\/5  (b) 316  (c) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-16 + 2 - 6)*(-67*a + 97*a + 79*a).\nAnswer: -2180*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1, -5, -0.05, -2.09, -1\/6, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**2 - 9*i + 6. Let u be s(6). Let t be u\/(-4) - (-9)\/(-1). Let q(a) = -a + 4. Let d(f) = -4*f + 17. Determine t*d(v) + 26*q(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ib when two letters picked without replacement from pbyiinibbinibwbbn?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + -1 + (-4 - (-95)\/105)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w\/(w*w**(-1)\/w*w*w)*w**(-5)*w*(w**2)**(-49) assuming w is positive.\nAnswer: w**(-102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, 5, 3755, -5, 31.\nAnswer: -12, -5, 5, 31, 3755","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**1)**27\/((z\/z**(-2\/9))\/(((z*z**(-7))\/z)\/z)) assuming z is positive.\nAnswer: z**(160\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -4, -0.66, -0.3, -9, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 2*n**2 - n. Suppose 3 = 3*q - 0. Let i be s(q). Which is smaller: i or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -19*r**3 - 2*r**2 - r - 1. Suppose -15*d = -16*d - 2. Is z(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 4*g**2 - 5*g + 1. Let d(v) = v**2. Let n(h) = -3*d(h) + s(h). Let k(a) = -790*a + 10276. Let t be k(13). Determine n(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/13 - 1296\/(-468).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 + 0)*((-4 - 1 + 4)*(-5*f - 5*f + 5*f) - 2*f + 2*f - 2*f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 941520 and 1020.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -10 - 33?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6 and 882.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.07138103 - -2.14.\nAnswer: 2.06861897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 + 25 = -6*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 24197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -3*s**2. Let w(r) = -2*r. Let i(p) be the second derivative of p**3\/6 - p. Let f(c) = 8*i(c) + 3*w(c). Determine m(f(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -21 - -23. Suppose 0 = -b*t - 4*m + 116, 5*t - m - 252 = 60. Suppose 3 = 3*z, 2*d - 3*z - 29 = 2*z. Calculate the remainder when t is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1036*i = -1032*i - 8. What is the third derivative of 21*k**4 + 13*k**4 - 46*k**i - 12*k**4 + 50*k**2 + 5*k**4 wrt k?\nAnswer: 648*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 81 = -7. Calculate the least common multiple of x and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 334218 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 35.7 + -35.8. Suppose -6 = -4*x + 5*l - 29, 2*x + 3*l = -17. Which is the closest to i?  (a) x  (b) -1\/4  (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 91.89337um to millimeters.\nAnswer: 0.09189337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -251\/6 != 504\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minus -1790?\nAnswer: 2079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -19*o + 139. Let b be j(6). Solve 5*w - 20 = -4*p, 5*w - 5*p + b = -0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**3 + 8*b**2 - 10*b - 7. Let y be g(-9). List the prime factors of 3*(y + (-46)\/(-6)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 108 and 70722.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 - 5\/((-280)\/(-20) - 15)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*a**2 - 1609180 + 1609091 + 6*a**2 in the form s*a**2 + n + h*a and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/9)\/(-2*2\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 61, 83, 105?\n\"Answer: 22*t + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15908119 to the nearest integer?\nAnswer: 3988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1241227303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-378)\/(-70) - (-2)\/(-5). Suppose -u*r + 0*r - s = -31, r - 5*s = 1. Let v be 0 - 6*r\/(-9). Solve 3*a + v + 2 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 639 is divided by 59?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 16290400 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-4) + 70\/(-8) + 696*(-56)\/(-672)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j - 37 = 4*n, 778 = -48*n + 4*j + 430 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**3 + 31*v**2 - 131*v + 8. Let w be r(5). Sort 1, 71, w, 5.\nAnswer: 1, w, 5, 71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the second derivative of c**6\/15 + 11*c**5\/10 + 3*c**4\/2 - 11*c**3\/3 - 10*c**2 + 2*c + 104. Factor a(s).\nAnswer: 2*(s - 1)*(s + 1)**2*(s + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the first derivative of -c**2 - 72. Let g(m) = 5*m - 4*m + 0*m. Determine g(t(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a = -3*o - 7, -94*a - 5 = -3*o - 99*a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*p + 25 = 18*p. Suppose 17 = h - p. Calculate the remainder when 117 is divided by h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(200) + sqrt(200) + sqrt(200) + sqrt(200) + -2*sqrt(200) + -5 + sqrt(200) + 2 + sqrt(200) + 1*sqrt(200))*4*5*5 + -4)**2.\nAnswer: -3030000*sqrt(2) + 50091809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -4*sqrt(720)*-1 + 2.\nAnswer: -1 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 + -50818?\nAnswer: -50822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:26 AM and 10:25 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 82843\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -9*i - 6. Let w(k) = -k + 2. Let q(d) = -1. Let u(s) = 3*q(s) + w(s). Give 6*u(z) - x(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 4721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 88093.1 millimeters to meters.\nAnswer: 88.0931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:56 PM and 4:00 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - (-58)\/(-22))\/((-116)\/(-638))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 2*b = -90, 2*z + 2*b = -3*z + 70. Let t(f) = -6*f - 6. Let k be t(-7). Let h = z - k. Is h less than -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (195*k - 312*k + 2283*k + 449*k)*(-4*k - 9 + 9).\nAnswer: -10460*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 5*j - 2. Let r be (33\/(-9))\/1 + (-1)\/3. Let l(a) = -4*a + 2. Determine r*l(p) - 3*u(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dqd when three letters picked without replacement from {d: 11, q: 2}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 79\/(-4) - (-12)\/16. Let r = z + 23. Factor -2 - 1 - 17*q**3 + 6*q + 5*q**r - 2*q**4 + 11*q**3.\nAnswer: 3*(q - 1)**3*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -30*u**4 + 26*u**4 - 95*u**4 + (u - u - 2*u**2)*(u**2 - 2*u**2 + 0*u**2) in the form t*u**3 + b + j*u**4 + c*u + x*u**2 and give j.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 178\/145 or 1?\nAnswer: 178\/145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -6 + p + 12 + 5 as l*p + m and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 307, 2, -5, 10, -4, 3 in descending order.\nAnswer: 307, 10, 3, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 83*r + 1178. Determine w(-11).\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5 - -5.24. Let o = 0.06 + j. What is the second biggest value in o, -2\/9, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/3, 26\/27, 1\/3 in ascending order.\nAnswer: -4\/3, 1\/3, 26\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**2. Let h be (-1)\/(4\/(-12)) - -1. Let i(o) = 2*o + h*o + 3*o - 5*o. Calculate i(z(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -828a (base 14) in base 15?\nAnswer: -69cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, 14742, -3, -16 in increasing order.\nAnswer: -16, -3, 1\/4, 14742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(3\/7))**(-14) assuming x is positive.\nAnswer: x**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 21.0588 days?\nAnswer: 3.0084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - u + 8 = -2*u, 5*o = 4*u - 10. Let m be (o\/(-3))\/(2\/3). Let r = -8 + 7. What is the closest to m in 2\/9, r, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**2 + 12*u - 36. Is n(25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -d80f - 2?\nAnswer: -d811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -s**5 + 3*s**5 + 64*s**2 - 67*s**2 + s**5 wrt s?\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 12753*((-20)\/(-15) - 1). Let y be (-2)\/(-11) - j\/(-33). Let i = y - 125. Solve 3*d - 1 + i = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -26, 1312, -1 in ascending order.\nAnswer: -26, -1, 1312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**3 + 5*w**2 - 8*w - 6. Let n be u(-6). Suppose -3*b = -0*b + n. Sort -5, 3, b in ascending order.\nAnswer: -5, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2085, -8340, -18767, -33366, -52137?\nAnswer: -75080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -48 - -51 - (-2 + (-6 - -4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -182*x. Let m(t) = 684*t. What is s(m(y))?\nAnswer: -124488*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -78.46 - -78.16. Which is the second biggest value?  (a) -1.7  (b) f  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10387130 by -10.\nAnswer: -1038713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 - -18. Calculate the greatest common divisor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 divided by -49850?\nAnswer: -38\/24925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 60\/(-18)*72\/(-15). Let j(w) = 24*w - 47. Does 49 divide j(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15280 + -10839. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -138204, -1105607, -3731420, -8844849, -17275100, -29851379, -47402892?\nAnswer: -70758845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iuuuuuuiuuu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4482 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q + 11. Let v be k(6). Solve -9 = v*s - 34 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5.7 + 5. Let m = 27 + -28.1. Let u = r - m. What is the second biggest value in u, 0, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5988229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 72027 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -16*j**2 - 80*j + 2. Let o be q(-4). Suppose -2*i = r - 0*i - 12, -r - 3*i = -12. What is the highest common factor of o and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/(0 + 3 + -4). Let r(j) be the first derivative of -1\/4*j**o + 0*j**3 - 1\/10*j**5 - 1 + 1\/2*j + 1\/2*j**2. Let r(z) = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 156 and 76454664?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 323278 is divided by 80.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 2 = 1. Suppose -11279 + 3362 = -3*a. Let y(l) = a*l - l**2 + 4 - 2635*l - 8. Calculate y(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 31401 - -22?\nAnswer: 31423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 15340 - -3?\nAnswer: 15343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 22*l - 41*l + l.\nAnswer: -18*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -30*f + 27*f. Let w(g) = -11 - 7 + f*g + 5*g**2 - 6*g**2 + 16. Calculate w(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -489 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q + 0*q + 2*q)*(-q + 3 - 3)*(750*q**2 - 351*q**2 + 351*q**2).\nAnswer: -1500*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 12\/30 + 76\/(-340). Is d less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5637 is divided by 5272.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 84 a factor of 12824280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 473455 and 11635?\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/155, 0.02, 4 in ascending order.\nAnswer: 2\/155, 0.02, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 37, -0.02, 3, 1, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes after 7:29 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 3*f**2 - 1. Let p be 10 - (0 + -1 + 1). Let b be 2\/(-5) - (-54)\/p. Let h be 6\/2 + (3 - b). What is y(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 6*l + l = -12, l = k + 2. Let g = k + -1. Solve 3*i - 8 = g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 345 + -165. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 3*o + 5. Let y be z(-2). Let x be y*(0 + 2) + (-9)\/(-27). What is the closest to x in -3, -5, 1\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvavoovuvvavuoavavv. Give prob of picking 1 u, 1 v, and 1 o.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 426 + 417 = 3*w. Let c = w - 120. Let g = -111 + c. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 63*n*r*y - 12*n + 19*r*y + 453*r wrt y?\nAnswer: 63*n*r + 19*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes after 7:55 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -3*z**2 + 102*z + 6. What is f(34)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 4*g**2. Suppose 2 = 3*a - 4. Let s(i) = -2*i**2 + 2*i**a - i**2. Give s(f(h)).\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 144073487 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-8\/3)*n*n*n**(4\/3))\/(n**(-2))**(23\/3) assuming n is positive.\nAnswer: n**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8*510\/(-160)*(-8)\/12.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2, 0.5, -0.4, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13 - -13.3. Let q = 9499\/11 - 863. Let l = -4 + 4.1. Which is the third biggest value?  (a) i  (b) q  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -2*u. Let z(f) be the third derivative of -1\/5*f**5 + 0*f**4 - 13*f**2 + 0*f + 0*f**3 + 0. What is v(z(i))?\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 23032 (base 6) in base 8?\nAnswer: 6274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/21?  (a) 3\/5  (b) -0.2  (c) -91\/6  (d) 0.5  (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rfffbbbfbb. What is prob of sequence ffbr?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 19247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -7*l**3 - l**2 - l. Let j be a(-1). Suppose -5 = s - j. Suppose y - 6 = -s. Solve -3*t - 12 = -3*d, -y*t - 11 = 5*d - 4*d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -3\/2  (b) -0.9  (c) -3\/4  (d) -2\/11  (e) 0.0054\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-10\/3)\/h**(-2\/3))**(-18)\/(((h*h**4)\/(h\/(h*h**(-2))))\/(h*h**(-2))**(-15)) assuming h is positive.\nAnswer: h**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14 + 7*s - 2*s + 48*s**3 + 0*s + 9 wrt s?\nAnswer: 288*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 30 + -30. Let j = 11 - f. What is the third derivative of -28 - 11*v**2 + j*v**4 + 11 + 17 wrt v?\nAnswer: 264*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 113585*u + 45. Let z be b(3). What is z rounded to the nearest ten thousand?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -592 - -987. What are the prime factors of (0 - -1)*(-2 + m)?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:55 AM and 5:57 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-176)\/(-352))\/((-3)\/(-4) - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**2 + 11*j - 3*j + 0*j**2. What are the prime factors of z(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 86529  (b) -8  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 5763513410?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*q**4 + 3*q - 3*q + 2*q**4 + 0*q**4 + q**4 + (-2*q**4 + 2*q**3 - 2*q**3)*(0 + 3 - 2) + 202 + 19*q**4 - 202.\nAnswer: 22*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 164, 665, 1500, 2669?\n\"Answer: 167*j**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -301 - -1778. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-7)*(-14)\/(-6). Let y = -3.6 - 2.6. Let d = y - -6. What is the nearest to -1\/2 in 2, d, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 42 - 40. What is the smallest common multiple of c and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 31476665 to the nearest one million.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 4*m + 36 = 0. Let o be 6\/9 + 2\/m. Are 1 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rrjx when four letters picked without replacement from jryddjhrryjrjyhhyjjx?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -467*i + 495*i + 1018*i = -16736 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25323.\nAnswer: 3, 23, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -124 - -88. Let f = -22 - m. Let k be 4\/f + 16\/(-56). Solve -t = -k*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 - 1. Let t = 21 + -14. Let w = -8 + t. What is the closest to w in 5, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**2 + 2*b - 1. Suppose 3*t + 5*w = -34, 2*w + 40 = -5*t - 3*w. Let u be x(t). Suppose 6*d - u*d + 8 = -4*m, 0 = 3*m - 5*d - 26. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3\/2  (b) 0  (c) 2  (d) 31  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 8*t + 33616. Let v(b) = b**2 + 13. What is n(v(y))?\nAnswer: 8*y**2 + 33720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-36)\/(-14) - 6\/(-14). Let l(m) = -4*m + 7. Let v be l(n). Let d = 0 + -3. Which is smaller: d or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 377963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -8855627\/4 greater than -2213906?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1\/2)*y)**(-3\/7))**(-11\/6) assuming y is positive.\nAnswer: y**(11\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -10*u + 8*u + 21*u**2 + 3 - 19*u**2. What is g(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -4*g**5\/5 - 34240*g**4 - 684748*g**3\/5 - 513552*g**2\/5 = 0?\nAnswer: -42796, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 5, d: 1, h: 2, g: 1}. What is prob of picking 2 n?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6.9747 - 0.0853. Let y = -7 - u. Let t = y - 4.56. Round t to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3 + 1 + 0)*-2. Suppose t*x = x + 6. Calculate the remainder when 4 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-15)\/(-6)*(-228)\/285. What is the third smallest value in 0, -3, 9, 2, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -117*z - 655. Determine d(-6).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 0*l - 3*l - 1 + l + 3. Let y be m(2). Let j(n) = -n + 1. Let s(r) = -4*r - 2. What is y*j(k) + s(k)?\nAnswer: -2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 7644*m**2 + 1160605*m + 291*m**2 - 1160605*m as j + l*m + q*m**2 and give q.\nAnswer: 7935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -49  (b) 4\/43  (c) 0  (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**3 + 6*g**2 - 3*g + 24. What is the tens digit of n(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 33 - -53. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 13 - 7. Suppose l = -g + 35. List the prime factors of g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8 - 4 + 0)*(2*s + 0*s**2 + 2 + 0*s**2 - 2*s**2) as c*s + l + f*s**2 and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0\/2*(-2)\/(-6). Suppose -j - 3*i + 8 = y, 7*j = 4*j - 5*i + 28. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.92 + 0.920001234. Round q to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 8524430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 2583, 2425, 2267, 2109, 1951?\n\"Answer: -158*x + 2741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14 - 11. Let o be (1 - q - -3)*16. What are the prime factors of 152\/o*(3 - -1)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 73.652 * 652\nAnswer: 48021.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 146 a factor of 150642983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.565 and 0.13.\nAnswer: -0.07345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2 + -2 + (-15)\/(165\/(-44)). Solve 2*q = -5*u - 22, h*q + 2*u = 3*u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11490*w**2 - 3*w + 2 - 22996*w**2 + 11500*w**2 to the form d*w**2 + u + b*w and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/2  (b) -27  (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -h**5 + 0*h**5 + 3*h**5 + 70*h**5 - 54*h**5 - 57*h**5 + (0*h**2 + 2*h**2 - 4*h**2)*(h**3 + h**2 - h**2).\nAnswer: -41*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-3)\/119)\/(103\/(-48307)). Which is greater: s or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -290*o = -366*o - 228 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 3*j = 5*y + 205, -5*y - 202 = 2*j. Let d = -28 - y. What is the least common multiple of 12 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -1 - (-6 + 7) - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 69 a factor of 36931215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o - 13 = 2*l, 21 = 5*l - 9*l + 3*o for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -11*u + 3. Let r(t) = -16*t + 5 - 13*t - 16*t + 53*t - 25*t. Give 5*r(j) - 8*w(j).\nAnswer: 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2, -36 in decreasing order.\nAnswer: 2, 1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bpbpb. What is prob of picking 1 p and 1 b?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, v: 1, q: 2, c: 3}. What is prob of sequence ccv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 3*s + 6 = 0, -20680*c - 7*s - 36 = -20677*c - 3*s + 8*s for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -4*w**3 + 2*w**2 + 166*w + 121. Determine i(-8).\nAnswer: 969","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -2*w - 14. Calculate x(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w**4 - 9425525*w**3 - 4442021363515*w**2 + 4442030789045*w = 0 for w.\nAnswer: -942553, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 330 = 95*q - 50. What is the closest to -0.06 in q, -3, -1\/14, -6\/5?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -41*s + 86 + 119. Solve -s = 2*g - 2*n + 5, 5*n - 16 = -4*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**5 - 37*h**4 + 359*h**3 - 287*h**2 - 360*h + 324.\nAnswer: (h - 18)**2*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 + 7. Suppose -s*v + 4 = v. Let l = v - -1. Solve l = -a - 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 589 minutes after 12:58 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 8*n - 57. Suppose -4*h - 8 = -2*k, -3*k = -7*h + 9*h - 20. What is b(k)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 104\/71, 1\/4, 0.2, 60?\nAnswer: 104\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 70 is divided by 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that k**2 - 82*k + 840 = 0.\nAnswer: 12, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**2 - 7*p + 6. Let z be (-9)\/(6*4\/(-16)). Let s be n(z). Let x = 4 + s. Solve 4*v + x = -16 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbl when three letters picked without replacement from {l: 4, b: 11, x: 4}.\nAnswer: 220\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/46980 and -79\/464.\nAnswer: 187920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -22131*x - 2593. Is i(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*b + r - 20 = b, 3*b - 3*r - 30 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.2 + -0.2. Let p = -0.5 - w. Let o = -0.23 - -0.03. Sort o, p, 1\/4 in decreasing order.\nAnswer: 1\/4, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -2.07, -0.4, -0.004, -3\/2?\nAnswer: -2.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28 + 16 - x - 34.\nAnswer: -x + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1\/(-2))\/(2\/(-24)). Suppose -x + 10 - a = 0. Solve -2*q - 3 = s, 5*q - x*s = 12 + 13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2*((-6)\/(-4) + -2). Let r = s + 69. Is ((-58)\/4)\/((-7)\/r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -129 + 7*y**3 - 40 + 23*y**2 - 20*y**2 wrt y?\nAnswer: 21*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 2*k - 18. Determine g(-10).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x = 9*x - 14. Suppose -3*h = -x*h + 104. What are the prime factors of (2\/(-4))\/((-1)\/h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 20\/(-42)*(-27 - -23 - (-2)\/(40\/68)). Factor -2\/7*d**2 + 0 + 0*d - u*d**3.\nAnswer: -2*d**2*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 13\/(-3)*(-26)\/676*3. Factor 0*z**2 + 0*z + g*z**4 + 0 - 5\/2*z**3.\nAnswer: z**3*(z - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02989 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 57191\/778 - 4\/389. Let s = p - 75. Suppose r + 0 = -4*v - 3, 5 = 5*v + 3*r. Which is greater: v or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -162 divided by 122\nAnswer: -81\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 5078041 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2*5*(-5)\/7)\/(14*11\/1078).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -28.000021 - -28. What is j rounded to 6 decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3997 + 3996.7813. What is v rounded to two decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16740 = 1256*x + 9*x - 88*x + 29163 for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 150 and 141332910?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -400651 + -216.9\nAnswer: -400867.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + w - 4*w = 14, 0 = 2*g + 3*w - 2. What is the third derivative of 2*h - 31*h**2 + 13*h**g + 15*h**4 + 15*h**4 wrt h?\nAnswer: 1032*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.08 and -51577286.1?\nAnswer: 51577286.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 11\/2 - (-18)\/(-12). Solve -d*w + 20 = 0, 9 = -n + 2*w - 5 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 15 + -13. Let o be 0 - -5 - 9\/9. Suppose 0 = j*c + o*h - 36, -2*c = c + 3*h - 54. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 949941*x**6 - x**4 + 357815*x**2 wrt x.\nAnswer: 113992920*x**3 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-55)\/10 + 3)\/(2\/(-240))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 38.01138 centuries?\nAnswer: 45613.656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2207, -4473, -6739, -9011, -11295, -13597?\nAnswer: -15923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000088268912 to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1\/133 - -283\/2261. Let n = 0.4 - 0.43. Let o = 1.8 + -1.8. Which is the third biggest value?  (a) n  (b) p  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -57 and -9.7?\nAnswer: 552.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the second derivative of -u**3\/3 - 63*u. Let h(v) = -526*v**2. Give c(h(y)).\nAnswer: 1052*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the second derivative of -303*m**8\/56 + 41*m**4\/6 + 277*m. What is the third derivative of c(o) wrt o?\nAnswer: -36360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 - 11*(-38)\/(-2299) - 12\/(-66).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 37630*s + 741*s**2 + 37624*s - 15*s**2.\nAnswer: 726*s**2 - 6*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -803*d**3 - 7*d + 15. Let m(j) = -j + 5. Determine -3*m(u) + v(u).\nAnswer: -803*u**3 - 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10 in 2, -0.1, -1\/4, -1727, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 354, 350, 346?\n\"Answer: -4*a + 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69*z = 774 - 567 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3\/5432  (b) 1\/7  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 161.19 - 12221.39. What is s rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10567919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 22 + -13. Suppose 4*o + k = -31. Let y be 10\/(-25) - 44\/o. Solve 0 = -3*z + z + y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 11*l - 7*l. Let h be (-2)\/l*(18 + -12). What is the closest to -1\/3 in -2\/17, h, 0.04?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 0.26  (b) -0.2  (c) -2\/9  (d) 1.5  (e) 1\/11  (f) 32  (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**2 - 89*o. Let j(l) = 2*l. Give j(u(g)).\nAnswer: 2*g**2 - 178*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x - 4*p + 8, 4*x - 5*x + 2*p = 4. Suppose y + x = 3*z - 1, y = 2*z. Let u be 5\/2*(-8)\/(-10). Solve -y*b - u*b = -16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 379171, 761352, 1143531, 1525708, 1907883, 2290056, 2672227?\nAnswer: 3054396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jhhjjhhhjhh. Give prob of picking 1 j and 2 h.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 24*p + 22*p - 1)*(2 - 1 + 2)*(2 - 2 + 2) + (1 + 0 + 0)*(-2 + 2 + 2*p) + 0*p - 2*p + 4*p + 24*p - 14*p + 10*p to the form a + b*p and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 25 - (2 + (-1 - 4)). Suppose -33*g + 135 = -o*g. Let z = 29 - g. Solve -z*v + 2 + 2 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 20, 5, -5, 1 in increasing order.\nAnswer: -5, 1, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1338290756 from 60472.\nAnswer: -1338230284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 9428, 9753, 10074, 10391, 10704, 11013, 11318?\n\"Answer: -2*q**2 + 331*q + 9099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 640963978 and 808.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 13006\/3716*(-40)\/(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 34*m = 41*m + 13158, 6585 = y - 2*m. Calculate the highest common factor of 19 and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*i**5 + 40*i**4 - 192*i**3 - 160*i**2 + 800*i = 0. What is i?\nAnswer: -2, 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 619*n**3 - 201*n**3 - 205*n**3 - 210*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -2*w**3 - 36*w**2 + 308*w - 490. Let c(i) = -3*i**2 - i + 2. Let a(y) = 2*c(y) + u(y). Find k such that a(k) = 0.\nAnswer: -27, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 53.21101 millilitres in litres?\nAnswer: 0.05321101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(209) - 1*-1*sqrt(209))*5*4)\/(-6*-3*-3*sqrt(99)).\nAnswer: -20*sqrt(19)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 118260\nAnswer: 1\/29565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes before 5:38 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.08 + -3.08. Let y be 1*-3 - (-2)\/4. Which is the smallest value?  (a) -4  (b) z  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes after 5:59 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9367 + 9375. Solve -x*d - 10 = 30 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the third derivative of 4*w**7\/105 - 4*w**3\/3 - 21*w**2. Find the first derivative of h(d) wrt d.\nAnswer: 32*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 2*c + 2704. Let y(w) = -w - 8. Determine y(o(n)).\nAnswer: -2*n - 2712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -79 = -18*a - 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 68*d + 13. Let f be s(2). Suppose -2*y + 0*v = -4*v + 82, 0 = -4*y + 3*v - f. Which is smaller: -0.2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*f - 1954 + 1919 = 0. Let i = -3 - -3. Suppose 3*w + p - 19 = 0, 2*w - p = 4*w - 11. Solve -4*u + 2*b - w - 4 = 0, i = -3*u + f*b - 23 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, -2620, 9, 1 in ascending order.\nAnswer: -2620, -9, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c - 3. Let t be r(0). Let p be (-3 - 11\/t)*-9. Let g(w) = -w**2 - 6*w - 7. Give g(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (2\/(-10))\/(5\/(-34725))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and 3688.\nAnswer: -3688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -32 + 4. Let y(w) = w**3 + 15*w**2 - 7*w + 6. List the prime factors of y(l).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12*31*28\/44268?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = u. Let x be (-1 + u)*(-15)\/9. Let j be 27\/(-360) + (-2)\/10*-1. Which is the nearest to -2\/5?  (a) x  (b) 0.5  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 24 and 5154.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -268*a + 325*a - 1863558 = 0. What is the ten thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 277, 283, 285, 277, 253, 207, 133?\n\"Answer: -g**3 + 4*g**2 + g + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sjojsjsso. Give prob of sequence jjs.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/((m*m\/m**(-2))\/m)*m)\/(m\/m**(-1\/4)) assuming m is positive.\nAnswer: m**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.8  (b) 2  (c) 15  (d) -1\/9  (e) -253\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2 - -1)\/(2\/(-4)). Suppose -n*l + 2*v + 14 = 0, 0 = 4*l + 5*v - 4 + 3. Find the second derivative of 0*h**2 + 4*h**3 + l*h + 0*h**2 wrt h.\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*n + 6*n = 0. Let k(o) = 5*o - 10. Let m(i) = 14*i - 29. Let p(g) = 11*k(g) - 4*m(g). Calculate p(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -393848, -393882, -393916, -393950, -393984, -394018?\n\"Answer: -34*j - 393814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 13*n**3 - 7*n**2 + 4. Let o(b) = 7*b**3 - 4*b**2 + 2. Determine -6*l(j) + 11*o(j).\nAnswer: -j**3 - 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rllljjhjljjllrlhll. What is prob of picking 2 l and 2 j?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 0.5, -7, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -r + 0*r**2 - r**2 - r**2 - 5*r**2 - 6 - 4*r**2 in the form s*r**2 + w*r + v and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35642 is divided by 327?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 263 - 2115\/8. Which is the biggest value?  (a) 1\/6  (b) 10  (c) -0.5  (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -85.707 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -158 - -608. Let i = g + -454. Put 1\/2, -3, i in increasing order.\nAnswer: i, -3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -3 + 6 - (-3 - -4). Let t(v) = -2*v**k + 85*v**3 - 75*v**3 + 5*v**2 - 1 - v**2. Calculate t(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 26*n + 5 - 239. Solve -2*d = -1 - n for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b + 3. Let j(i) = -i**2 - i + 1. What is -j(k) + n(k)?\nAnswer: k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 4*h = 404, -2*n + 3*n = 2*h - 86. Let s = 58 - n. Suppose -d - s = -3*v - 3*d, 0 = -4*v - 3*d + 206. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 - (13 - 10 - -8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 135114809 + -68714809. Round g to the nearest one million.\nAnswer: 66000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-5*(2*sqrt(84) + sqrt(84) - sqrt(84)))\/sqrt(3))\/(sqrt(576) + (-1*sqrt(576) + sqrt(576))*5 + sqrt(576)*-1*-1)*-4.\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the second derivative of -n**3 - n. Let k be 12\/18 - (-14)\/6. Let m(j) = -4*j**2 + k*j**2 + 4*j**2 - 5*j**2. Give m(p(s)).\nAnswer: -72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -64, -15, 2, 5.\nAnswer: -64, -15, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j**16)\/(j**(-28)\/j*j))**(-13))**20 assuming j is positive.\nAnswer: j**(-11700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1576689019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 496375*m**2 - 241976*m wrt m?\nAnswer: 992750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**3 + 7*x**2 - 4*x - 7. Let s be c(6). Let k(u) = u**2 - 3*u - 7. What is k(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -2*n**2 - 259*n - 897. Calculate b(-126).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 714406?\nAnswer: 2, 7, 11, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15*(-12)\/432*2\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 1702 = -4*x, 12*x - 17*x = 20. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/(14\/18)*56\/42?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -10*p. Let n = -55 + 82. Let f(o) = -n*o + 17*o + 14*o. What is q(f(d))?\nAnswer: -40*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -38876002 by 3.\nAnswer: -38876002\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 8, z: 1, o: 2, s: 6, p: 1}. What is prob of picking 1 p and 2 a?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 34744, 67830, 100916?\nAnswer: 134002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + (5 - 1\/(-2)*2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 315019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 11 and 30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 2*o = -4*o + 10, 4*t = 3*o - 15. Suppose -3*p = -t*p - 39. Calculate the greatest common divisor of p and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the third derivative of -7*f**6\/40 - 2*f**3\/3 - 45*f**2. What is the derivative of d(y) wrt y?\nAnswer: -63*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**2 - 2*g. Let v be m(-2). Let a = -1806 - -1802. Let z be ((-4)\/160*6)\/((-2)\/(-8)). What is the closest to v in a, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 22 + -44. Does 22 divide (c\/55)\/(((-2)\/(-275))\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 < -7004\/14971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 7497293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c. Let f(k) = 67*k - 33. Let j = -59 - -58. Let a(l) = j*f(l) + 5*d(l). Find the first derivative of a(z) wrt z.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*((i**(-8\/5)\/i)\/i)\/i)**46 assuming i is positive.\nAnswer: i**(-828\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (12\/(-16)*8\/(-12))\/((-67)\/(-2010))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -11159*f**3 + 346*f - 112487563?\nAnswer: -33477*f**2 + 346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n - 3*n + 26 - 25. Suppose -3*t + 9 - 6 = 0. Give r(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tzz when three letters picked without replacement from {z: 4, t: 6}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6724 is divided by 128?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7 in 104, -22, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2543656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 102*b**3 + 5*b**2 + 2*b + 4. Let l(t) = 714*t**3 + 36*t**2 + 15*t + 30. Calculate 15*j(n) - 2*l(n).\nAnswer: 102*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3071 and 53206.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -2*a**3 + 2*a**2 + 4*a + 1. Let h = -48 + 44. Let j(t) = t. Determine h*j(f) + q(f).\nAnswer: -2*f**3 + 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(192) + 3 + sqrt(192))*-2.\nAnswer: -32*sqrt(3) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 8*j**3 + 9*j**2 - 28*j + 5. What is the tens digit of h(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -cb1 (base 13) to base 6.\nAnswer: -14020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**2 - 5*f - 8. Let b be d(6). Let m be b\/2*(15 - 13). Put m, 0.03, 1\/6, 5 in descending order.\nAnswer: 5, 1\/6, 0.03, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the second derivative of -3 + 6819*s**3 - 6820*s**3 + 117*s + 3 + s**2. Give m(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*g + 48*g = 120. Solve 0*x + g*x = 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2592 divided by -18.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 63 and 30?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 - 40154?\nAnswer: -40154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 86382723*f - 82308950.\nAnswer: 86382723","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25395?\nAnswer: 3, 5, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n + 5*h = -3, 19*n - h = 14*n + 9 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in 0.2, 20\/3, 1814?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*l - 11*q + 15*q + 28, -4*q + 4 = 4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/3 + (80\/(-128) - (-15218)\/(-2352)).\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*c**2 + c**3 + 73*c + 7*c**3 - 2*c**3 - 75*c - 4 = 0. What is c?\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the third derivative of j**5\/20 - j**4\/8 + j**3\/3 - j**2. What is the tens digit of a(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 17, -1\/4, 530, -3.5, 7, -5, 2\/17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(22)\/(sqrt(704) + -2*sqrt(704)) - (-1 + sqrt(32))*5)**2 + 2.\nAnswer: -805*sqrt(2)\/4 + 26785\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the third derivative of b**7\/13860 + b**6\/3960 - b**5\/330 - b**4\/24 - 3*b**2. Let c(u) be the second derivative of y(u). Factor c(s).\nAnswer: 2*(s - 1)*(s + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from zzttt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -7*k**2 + 4*k - 2. Let a(x) = -x**2 - x + 1. Let u(o) = -6*a(o) + y(o). Is 13 a factor of u(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8\/325 - 1154\/20475. Let p = m + -55\/252. Suppose -3*n - 3 = -0*n. Which is the nearest to -1?  (a) 1  (b) n  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 136 and 141136312.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 519656 is divided by 231.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*z + 3*z + 3*z + (z + 0*z - 2*z)*(-325 - 477 + 695 + (3 - 3 - 2)*(-1 - 2 + 5) + 1 - 2 - 1 - 2 + 1 - 4) to the form o + d*z and give d.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -110.4 + 110. What is the closest to -0.1 in w, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 22\/3 - 4\/(-6). Is 125\/6 + i\/48 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 576 by -551400.\nAnswer: -24\/22975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*z + 5*z - 17*z)*(-1 - 1 + 4) - 5*z + z + 5*z - 4*z + 6*z - 4*z.\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 44 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -9*b + 20. Give k(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the second derivative of 0 - 7*j + 2\/3*j**3 + 3*j**2. Let x(q) = -3*q - 5. Suppose 2*f - 161 = -173. Give f*x(k) - 5*a(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 5956 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 2*o = 2*o - 125, 4*f = -o - 121. Suppose -2*i = 3*i - 205. Let c = i + f. Calculate the remainder when 22 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 3*o - 5*t, 13 - 3 = o - t. What is the highest common divisor of o and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.9 + -1.9. Let b = 1490\/33 - 504\/11. Sort b, f, -34, 0.4.\nAnswer: -34, f, b, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6.993*0.1\nAnswer: 0.6993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 2*v**4 + 4*v**3 - v**2. Suppose 4 - 1 = b. Let m(i) = -20*i**3 + 13*i**2 + 1 - 7*i**2 - 1 - 10*i**4. Let l(u) = b*m(u) + 16*t(u). Factor l(f).\nAnswer: 2*f**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 55 + -52. Suppose -3*o + 3*j = a, -j + 3*j = -3*o - 3. Sort o, 0.3, -4.\nAnswer: -4, o, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (16 + -19 - -7) + (-12 - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -70, -274, -612, -1084, -1690, -2430?\nAnswer: -3304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - k + 20 = 3*r, -k + r = -4. Suppose -3*p = -9, 0 = 4*f + 3*p - 36 + 7. Solve -f*g - 9 = -v, -2*g - 3*v - 3 = -k*v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 + 3)*(-p + 3*p - 4*p + (0 + 1 + 0)*(-p + 1 - 1))*(2 + 0 + 0).\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 103547 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1406167?\nAnswer: 7, 200881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3*8\/20)\/(150\/1000).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -j + 60, 25*i + 3*j + j = 22*i + 5*j - 66 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -320+3.8\nAnswer: -316.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from yyyfyfyyyfyyyyff.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 - 3) + (0 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 4 - 6)*(-3*n + 0*n + 4*n).\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200)*-1*1 + sqrt(200)*2*-3)\/(4*(sqrt(16) - (sqrt(16) + sqrt(16)*-2*3))\/sqrt(4)).\nAnswer: -35*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u + 23311 - 7807. Let t be 1\/((-4)\/u*-6). Are t and 324 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -32676369 or -32676368?\nAnswer: -32676368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**2 - 6*j + 7. Let x be a(5). Solve -3*n = -5*n + x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*h = 76*h - 27000. What is the least common multiple of h and 8?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 9294 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 - -3. Suppose 3*k - f = l, -4*k - k - 15 = 5*l. Factor 3*d + 3 + 3\/4*d**k.\nAnswer: 3*(d + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 5842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w + 8 = 4*m, -7*m + 8*m - 3*w = 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -3*k - 5*i + 15, -3*k - 3*i + 21 = 0. Let l be k + -1 - (-74)\/(-26). Is -1 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 3, y: 1, m: 2, s: 4}. Give prob of picking 1 s and 1 m.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 0, -3\/2, -1\/3, 0.04?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1142840 is divided by 285679.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 + (-1 - (-9 - -4)))*-15. Let h(p) = 21*p + 15. Let c(t) = -3*t - 2. Calculate s*c(w) - 6*h(w).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*w**2 - 2981664*w - 2981661.\nAnswer: -3*(w + 1)*(w + 993887)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -4153, -52721, -184553, -441283, -864545, -1495973, -2377201?\n\"Answer: -6939*q**3 + 2*q**2 - q + 2785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (7 - 5)\/(2\/5). Solve -c + s*c = -8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2, -53, -190, -455, -890, -1537, -2438, -3635?\n\"Answer: -7*f**3 - f**2 + f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 32 and 933?\nAnswer: 29856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3861233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9031 + -72315\/8. What is the common denominator of -99\/3694 and u?\nAnswer: 14776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3616 - 3487. Solve -131*w = -h*w - 18 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 16*p - 11. Is v(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*b = -0*b - 66. Let a be 38\/b - 10\/(-30). What is the biggest value in -0.5, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1237409 smaller than 5.55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-470)\/(-47)*2\/10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(1088) + 1 + -3 - (sqrt(1088) + -2*sqrt(1088)*-1)) + 3)**2.\nAnswer: -128*sqrt(17) + 4368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, u: 1, r: 1, c: 1, h: 1}. Give prob of sequence uoc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2.11 and -341.230531.\nAnswer: -343.340531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 376 is divided by 62.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 45659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -118468 or 66\/17?\nAnswer: 66\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**3 - 6*x**2 + 12*x - 12. Let o be v(-9). Does 10 divide 1*o*17\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 139000284 is divided by 436?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 9*x**2 - 10*x + 15. Let c(w) = 5*w**2 - 5*w + 8. Let r(a) = 7*c(a) - 4*n(a). Let o be r(3). Solve -o*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 128723*g - 20*g**2 - 2*g**3 + 128725*g + 5*g**3 in the form l*g**2 + n*g + i + d*g**3 and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -309053*b**3 - 26*b**2 + 198*b - 39. Let k be w(9). What is k rounded to the nearest 1000000?\nAnswer: -225000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, 0.01, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 160896630 to the nearest integer?\nAnswer: 12685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = -4*t + d, -5 = -4*t - t - 4*d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - ((-26)\/8 + -6 + 6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d**2\/3 - 13418*d\/3 + 94073 = 0. Calculate d.\nAnswer: -13439, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**2 + h + 95. Let n(i) = -i. Let s be n(0). Suppose v + 2*v = s. Is d(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1650\/(-264))\/25*4\/(-22)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -701*o**5 - 88*o**4 - 2*o**3 - 1782570*o**2?\nAnswer: -42060*o**2 - 2112*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 191556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + n = -156. Suppose 0 = -v + 5*k + n, -4*v - k = -16 - 503. Let t = v + -41. Calculate the greatest common factor of 9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**17\/(s\/(s\/s**(23\/4)*s)))**(-4\/11) assuming s is positive.\nAnswer: s**(-49\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 129*(254\/28 - 20\/280)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 174 = 12*y - 6*y. Let u = -25 + y. Suppose -u*i = -i - 75. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 132402 (base 6) in base 15?\nAnswer: 3962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -48402.17, -4, 18.\nAnswer: -48402.17, -4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 3.67 and -2.25081995?\nAnswer: 5.92081995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(((-78)\/12)\/13)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/105 and 49\/249805.\nAnswer: 5245905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 71 - 66. Suppose -4*u - 7 - g = 0, -4*m = -u - 23. Suppose 4*z = j + 2680, -3*z - m*j = -5*z + 1358. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (594*u**5 - 1619*u**5 + 207*u**5)*(-3 + 2 - 3) + u**5 + 4*u**5 - 4*u**5.\nAnswer: 3273*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 61, -2, -199, 2, -12 in decreasing order.\nAnswer: 61, 2, -2, -12, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 b when two letters picked without replacement from monlblmbffoolb?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3053574?\nAnswer: 2, 3, 17, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h - 76 = 4*y, -611192*h + 611194*h + y = -19 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + d = 365 - 1280, -2*d + 924 = 3*p. Calculate the greatest common divisor of 6579 and p.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 285723  (b) 5  (c) -5\/104\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -9*s**3 + 418*s**2 + 225*s + 116. What is y(47)?\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 2\/9, -5, 4, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 5*t - 12 = 0. Solve -t*c + 10 = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 89599 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 23 - 3. Let j be (-255)\/476 + (-1)\/q. Which is the biggest value?  (a) 4  (b) 0.2  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n**3 - 5*n**2 - 5*n + 39. What is o(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 8*w - 5. Let j be m(1). Solve -8 = -r + j*u + 1, -u = 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 51, 59, 67, 75?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (8 + (-16)\/4)*1. Solve -w*y = -20, -5*k + k + 3*y = -1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 13*a + 6. Let j be b(0). Let i be ((-2)\/j)\/(2\/(-12)) + 2. Solve f - 4 = -4*y - 3*f, -5*f = i*y - 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -965, -975, -981, -977, -957, -915, -845?\n\"Answer: u**3 - 4*u**2 - 5*u - 957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -136*f + 47 = -140*f - x, 2*f = -x + 4*x - 13 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the first derivative of 5\/9*m**3 - 1\/3*m**4 + 0*m - 1\/3*m**2 - 1 + 1\/15*m**5. Find o such that j(o) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 + -3 - (63 + -33 - 18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4*(50\/4)\/((-1060)\/(-318))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 67\/124719 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 6*w + 4. Let b be j(-20). Let h = 137 + b. Solve -s - 2*z = -12, -h = -3*s - 0*z - 3*z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the first derivative of -86*a**3 + 9*a**2\/2 - a - 438. Find the second derivative of o(z) wrt z.\nAnswer: -516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes before 9:03 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -246 divided by 12764\nAnswer: -123\/6382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3308761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-8)\/16*(1 + -1). Solve -a - 4*a - 20 = q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from pzeepzepeepez.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v + 6 = 3*g, -66*g + 64*g = -v - 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9035746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15014.\nAnswer: 2, 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -5*n - 19626, 825 - 5730 = -w + 2*n. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*n**2 + 5*n**2 - 13*n**2 + 10*n**2.\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/18428 and -121\/856902.\nAnswer: 1713804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 4 = -0*s. Let l = 2 + s. Let c(h) = 136*h**2 + 2*h. Let n be c(l). Round n to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*m**2 - 3512*m - 770884.\nAnswer: -4*(m + 439)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -3*p - 24. Let i be b(-9). Suppose 0 = i*r - 3, -5*r - 20 = 5*a - 10*a. Solve 0 = 4*x - a*x - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5.4 times -2\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 81 = -5*b, c + 96 = -4*b + 32. Suppose -2*p - 3*k - 7 + 9 = 0, -3*p + 2*k = -3. Let d = p - b. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -950 + 949.999998021. What is z rounded to 7 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is (154\/77)\/(-11 - (660\/(-36) + -3))?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 20866775 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(1\/9)\/f)**(-2\/61) assuming f is positive.\nAnswer: f**(16\/549)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 273183.\nAnswer: 3, 41, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 43 = -4*m - 1, 3*n - 41 = -4*m. Solve -4*w - 2*o - m = 1, -w = -3*o - 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.016 and 37054.\nAnswer: 592.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2883111 = -4*q - 6075021. Let c be ((-1509533)\/(-2))\/(1\/(-2)). Let p = q - c. What is p rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.15 + 0.16. Let d = u - -0.7. What is d rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 35818656*i - 32284379.\nAnswer: 35818656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (90\/(-30))\/(1*-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-18)\/(-8))\/((-4)\/240*-3). Calculate the greatest common factor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oogoqopgpqopo. Give prob of sequence qg.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the third derivative of 13*m**6\/20 - 5*m**4\/12 - m**3\/3 - m**2 - 5. What is the second derivative of b(a) wrt a?\nAnswer: 468*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(117) + sqrt(117) + 0 + 0 + -2 + sqrt(117)*2)*6)**2.\nAnswer: -1296*sqrt(13) + 67473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3*(-258)\/(-18) - 3 is divided by ((-27)\/(-6))\/(18\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(5 + sqrt(114)\/sqrt(6)).\nAnswer: sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/2 less than -42234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 30750819329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 17 - 19. What is the units digit of (4392\/14)\/2 + g\/(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 118.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = -t - 4, 3*t - 4*k + k = 42. Let q(w) = 5*w**2 - 3. Let r(b) = 26*b**2 - b - 16. Calculate t*q(m) - 2*r(m).\nAnswer: 3*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11963\/29920 - -1\/5984. Which is the nearest to 1\/84?  (a) -4  (b) u  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**2 + 7*i + 9. Calculate the least common multiple of t(-6) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.5 - -0.55. Which is the third biggest value?  (a) d  (b) 4  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1100101001 - 1000000111100?\nAnswer: -110100010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -12, 1, -133?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 2\/4741051 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -0.954 times 278527\nAnswer: -265714.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 359944258 to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -31 + 0 - (-61 - (1 - 47))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.43801 rounded to two decimal places?\nAnswer: 4.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*f**2 - 699*f + 1386.\nAnswer: 3*(f - 231)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:09 PM and 7:48 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*r + 10*r - i = -4878, 2*r = 4*i + 1982. Which is bigger: r or 978?\nAnswer: 978","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8352 and 5200164?\nAnswer: 41601312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12000, -12103, -12206?\nAnswer: -12309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**2\/6 - 1295*s\/3 + 719279\/6.\nAnswer: -(s - 253)*(s + 2843)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -3 - 5 - f - 1 + 4. Let m be r(0). Let q = 10 + m. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-10)\/30)\/(-1 - (-7)\/12). Let o = 505 + -508. Which is the nearest to q?  (a) 0.1  (b) 0  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 48 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -16321, -5\/4, 2.\nAnswer: -16321, -4, -5\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -476?\nAnswer: -3\/476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 60.714 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 35 = -42 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -38, -17, -3, 3.\nAnswer: -38, -17, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 3309, 6707, 10167, 13719, 17393, 21219?\n\"Answer: 5*s**3 + s**2 + 3360*s - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -352 = 14*t - 324 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 (base 5) in base 12?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12604398\/281 or -44857?\nAnswer: -44857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -11*h**2 - 3*h**2 + 3*h - 6*h**2 + 25*h**2 - 20. Is g(-7) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 324 - 276. What is the greatest common divisor of 156 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1205 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15\/(-1))\/(78\/26)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(7) + 1) + (((sqrt(7) - (-2*1*sqrt(7) + sqrt(7))) + sqrt(7) - sqrt(7))**2 - sqrt(7)).\nAnswer: 3*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 + 2 = -6*c. Let m be -19 + 21 - (-2)\/c. What is the greatest common factor of 9 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -27 or -1733?\nAnswer: -1733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10157412 is divided by 6021?\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*r = -t - 4*r + 73, -5*t = -3*r - 255. Calculate the least common multiple of t and 28.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -31*v - 36 + 36. Let m(c) be the first derivative of -526*c + 526*c + 39 + c**2. Calculate m(i(l)).\nAnswer: -62*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58 = 2*s - 2*u, 0 = 5*u - 12 - 3. Calculate the smallest common multiple of ((-135)\/20)\/((-12)\/s) and 21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 80 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**2 - 8*u + 151. Give s(-16).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-462)\/(-176)*-2*((-25)\/9)\/25\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.169?  (a) 2\/3  (b) -15  (c) 5  (d) -11.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 125*c = 202*c - 127*c + 254100. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**3 - 4*f**2 + f + 1. Let m be g(-4). Let q be 2\/m*(-1 - 68). Suppose -y = 4*y, 3*y - q = -r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 - 0. Let s = -0.04 + 0.02. Let u = 4.02 + s. Which is the smallest value?  (a) -1\/7  (b) u  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67 is divided by 63?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.39 and -0.0775?\nAnswer: -0.030225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (-9 - (4 + 6 - 21))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 5*a = -34, -4*q - 5*a + 17 + 20 = 0. Suppose v = -q*v. Suppose -y + 24 = 5*k, v = -4*y - 6*k + 3*k + 28. Solve y*l + 5 = -l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**3 + 5*r**2 - 7*r - 4. Let z be c(-6). Let j be (-32)\/(-6)*3\/2. Factor -2*x**2 + 5*x**3 + 2*x**4 + z*x**5 + x**3 - j*x**3.\nAnswer: 2*x**2*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3, 10, 15, 18?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -6*v**3 - 3*v**2 - 2437*v. Let l(w) = 13*w**3 + 7*w**2 + 4874*w. Calculate -3*l(n) - 7*q(n).\nAnswer: 3*n**3 + 2437*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-84)\/(-84)*1\/(-10)*-1\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117) + 0 + 3 + 6*(1 + sqrt(117)) + sqrt(117) + sqrt(117) + 0 + -1)**2.\nAnswer: 432*sqrt(13) + 9541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 + 112\/(-231) - 1. Which is bigger: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkiiiikkkk. What is prob of sequence ii?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.3 and -67.1884?\nAnswer: 66.8884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -41*d - 24. Let o(a) = a - 1. Let s(p) = 4*p + 5. Let f(n) = -3*o(n) + s(n). Let y(w) = 12*f(w) + 4*t(w). Let m(h) = -4*h. Give m(y(j)).\nAnswer: 608*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:47 PM and 11:22 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1478516 or -1478528?\nAnswer: -1478516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i - i - 12. What is the remainder when (-1)\/6 - 421\/i is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*u - 23*u = -1092. What is the remainder when u is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 27*z - 1 + 54*z**2 - 27*z**2 - 28*z**2 to k + n*z**2 + f*z and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 317 <= 3821\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5329602219 - -5329602261.62980557. Let b = 46.8798033 - j. Let f = b - 4.25. What is f rounded to 7 dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/50 of a gram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3\/3635 + 48691\/21810. Find the common denominator of 7\/3 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 249916 less than 1219007?\nAnswer: 969091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 38, 3, 0.06, -0.2 in increasing order.\nAnswer: -0.2, 0.06, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 146601 + 84.55\nAnswer: 146685.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 19\/4 of a millimeter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -729\/7 - -104. Let q be (2\/8)\/(5 + (-215)\/40). Which is the nearest to q?  (a) s  (b) 0.5  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the second derivative of v**3\/6 - 2*v**2 + 10*v. Let q be x(6). What are the prime factors of 34 + 7 - 2\/q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1447 - -35920. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -2*r - 12, -20 = -4*y + 2*r - r. Let s = 1 - 3. Let u be (0*3\/12)\/(s*1). Solve 3*b + 22 = 4*x, u = y*b - 2*b + x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + c - 5 = -0*c, -3*f + 6 = -4*c. Let p(q) = -q**2 - q + 2. Let r be p(f). Solve 0*n**4 - 2\/5*n + 0*n**2 + r - 2\/5*n**5 + 4\/5*n**3 = 0 for n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iaviiiiaii. What is prob of sequence aiai?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -63, -0.1, 18, 2\/3 in descending order.\nAnswer: 18, 2\/3, -0.1, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 + -14164?\nAnswer: -14163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21, -4\/21, 5, -0.0167, -0.1.\nAnswer: -4\/21, -0.1, -0.0167, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 4737  (b) 2  (c) 5\/18  (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0\/4)\/(18\/6). Suppose -l - 4*l = 5*w - 675, a = -l - 5*w + 155. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 478 - 478.82. What is the biggest value in -1, -0.3, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1158, -4223, -9204, -16101, -24914, -35643, -48288?\nAnswer: -62849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 2*v = 3*x + 148, 3*v + 370 = 5*x. Let l be ((-119)\/21 - 2\/(-3)) + 73. Let t = x - l. Solve -2*y - 4 = -2*h + t*h, -12 = -3*y for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1075332, 2150647, 3225968, 4301295, 5376628, 6451967?\nAnswer: 7527312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 2 o when three letters picked without replacement from ooooyyahyoohyyhoooy.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -75, -80, -107, -162, -251, -380, -555, -782?\nAnswer: -1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -0*y - 4. Let j(v) = v**3 + 8*v**2 + 5*v - 4. Let l be j(-7). Suppose 6 + l = 4*b. Solve y*r + 2*u + 9 = r, -b*u = 16 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1862 + u**2 + 1858 - 10*u**3 - 3*u**2 to l*u**3 + g + v*u + t*u**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 53854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 21\/3 - ((-1 - 2) + 6). Solve g + 2 = -q*a - 7, a = 4*g + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.19 + 0.09. Let x = -5.125 - -7.125. Suppose z - 3*v = 2*z + 11, -5*v - 15 = 5*z. Which is the closest to t?  (a) x  (b) 10  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the first derivative of -85*g**2\/2 - 57*g + 173. What is the derivative of d(n) wrt n?\nAnswer: -85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4*6 + (3 - (-30)\/(-6)). Suppose -2*c - p*r + 24*r = -12, 2*c = -4*r + 12. What is the remainder when 117 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 - -9. Let c be k - 2 - (-2)\/(-1). Sort -2, 1\/9, c.\nAnswer: -2, c, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -35*f**3 + 134 + 104 - 193 wrt f.\nAnswer: -105*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 277?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2020 (base 5) to base 12.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*n - 13*n + 9*m - 62 = 29*n, -n + 11 = 4*m for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2576 is divided by 489.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -326 + 326 - 10*j + 12*j + 7*j - 11*j + (j + 0*j + j)*(-1 + 4 + 0) to the form q + f*j and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 3*q = -33, -34*h + 64 = -38*h - 5*q for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -317 >= -317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 4*j + 53 = -0*g, 2*g + 3*j - 17 = 0. Calculate the remainder when 355 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12.000196 - 12. What is c rounded to five decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n + 27 = b - 12*n, 3*n = b - 17. Suppose 2*r = 2*s + 8, -4*s + 5*s = -b. Solve 0 = -3*m - r*a + 2 - 12, 4*a = -8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 21223570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 20*x**2 + 51*x**2 - 19*x**2)*((3 + 2 - 4)*(-3 + 0 + 5)*(26*x + 2*x + 72*x) + 5*x - 6*x - x) as v*x**3 + p*x + s + m*x**2 and give v.\nAnswer: 2376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 258c7 (base 13) to base 11.\nAnswer: 48343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j + 4*m + 132 + 242, -4*m = -5*j + 626. Let w = 65 + j. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4 - 4 - 1)*(2 - 6 + 2) + 467 + 444 + 908 - 1 + 0 + 0 + (2 - 5 + 4)*(2 + 2 - 3))*(3*o - 2*o + o).\nAnswer: 3642*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**3 + 7*j**2 + 8*j + 10. Let h be b(8). Let q be h\/50 - (-86)\/(-130). Is q > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -45 - -5. Let p = 40 + i. Solve p = -v - 3*v - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -2*g**2. Let m(n) = -2503. Let h(d) = d + 1. Let z(i) = -2503*h(i) - m(i). Calculate y(z(k)).\nAnswer: -12530018*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-6)\/b**(-2\/3)*(b**0\/b)\/(b**(-2\/3)\/b))**(5\/6) assuming b is positive.\nAnswer: b**(-35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -54 + 41?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 95857 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -4 + 3 - 3 + 3*l + 0 - 4*l**2. Let n be a(2). Let t be (n - -13)\/(6\/(-4) + 1). What is the highest common divisor of 4 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -5*r**3 + 486*r**2 - 36*r - 5945. Determine k(97).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5.1 - 4.9. Let u = 2 + 5. Let p = u + -6. Which is greater: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*m**2 + 3*m**2 - 3 + 269*m - 269*m as p*m**2 + y + q*m and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 597 + -568. Which is the second biggest value?  (a) 0.1  (b) -0.5  (c) r  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -837637, -837528, -837419?\nAnswer: -837310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 5*a + 36. Let k be l(-11). Let u(g) = g**3 + 18*g**2 - 22*g - 23. What is the remainder when 122 is divided by u(k)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6 and 397608.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-8)*w*w)\/w)\/w**35 assuming w is positive.\nAnswer: w**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26*21557.414.\nAnswer: 560492.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 + 0. Let y = 4 - p. What is the derivative of 10*i**2 + 4*i**y - 5*i**2 - 2 - 4*i**2 wrt i?\nAnswer: 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 310, 6, 1\/4, 5, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s + 8, -3*s - 11830 = -2*k + 23302. List the prime factors of k.\nAnswer: 2, 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37381224 to the power of 1\/3, to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -28, -2, 1.\nAnswer: -28, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*sqrt(176)*3*-3 + -4.\nAnswer: -216*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 37 + 131.939?\nAnswer: 168.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -78 or -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 104 * -0.3.\nAnswer: -31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*j - 10 = -14*j. Let v(p) be the first derivative of 4\/3*p**2 + 8\/3*p**3 + 3\/2*p**4 + 4\/15*p**5 + 0*p + j. Find x, given that v(x) = 0.\nAnswer: -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -124883\/19 > -6572?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.006189139 to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 5*y - 5308 = 0, 1760 = 3*k - 2*k + 4*y. List the prime factors of k.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 27 = -2*p. Let i be ((-3)\/p*1)\/((-22)\/(-440)). Solve i = -h - 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kiriirkiskkkr. What is prob of picking 1 r and 2 i?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -3*l**2. Let j(n) = 2*n**2 + 5*n + 5. Let z(c) = -c**2 - c - 1. Let m be (8\/(-24))\/(2\/6). Let x(r) = m*j(r) - 5*z(r). Determine x(t(i)).\nAnswer: 27*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000833862 rounded to 5 decimal places?\nAnswer: 0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -119296 (base 14) to base 12\nAnswer: -250098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-298*l**2 + 298*l**2 + 52*l**4)*(0*l + 3*l - 4*l) + (1 + 1 + 0)*(l**4 - l**4 + l**5) - l**5 + l**5 + 2*l**5 - l**5 + 2*l**3 - l**5 + l**5.\nAnswer: -49*l**5 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6961, -6965, -6969?\nAnswer: -6973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 41828 - 25748. What are the prime factors of g?\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2 - 3 - (-1 + -3). Let b(m) = -9 + 7 + f + 5*m. Suppose 0 = 2*x + 2*z + 6, 3*z - 2 + 5 = 3*x. Determine b(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -9\/35 and 37\/574.\nAnswer: 2870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -45*n + 1082. What is o(24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**(2\/7)*p**(-6))\/(p**(-4)\/(p*p**(1\/2)))*p**(-5)*p*p**(-6\/5)*(p**(1\/11)\/p)\/(p**(1\/5)\/p) assuming p is positive.\nAnswer: p**(-3923\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -13 - 16 + 19*x + 43 - 16 in the form o*x + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 170*b + 2378 = 252*b. Solve -b*y - 175 = 6*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 138000 divided by 575\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -150 + 5 + 0 + -5. Which is smaller: b or -148?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) -29.7  (c) 4  (d) -110.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u**3 - 4*u**2 - 3*u - 22. What is x(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 3*b - 4*c - 4, 4*b = 5*c + 26. Suppose 0 = b*r + r - 15. Does 6 divide (r + -5)\/(2\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 140782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-150)\/18000*(2 + -196) - 2\/(-15)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, 111, -0.5, 1\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -547465*o**4 + 28*o**3*x**2 - o**3 - 86*o**2*x**2 - 2*o**2*x - 2*o*x**2 + 220*o*x - 12*x**2 - x wrt o?\nAnswer: -13139160*o + 168*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (16\/6)\/((-14)\/(-21))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6493 and 2623?\nAnswer: 396073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 13 = 5*d - 24, -5*d = 3*l - 53. Solve -d*f = 83 - 41 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 27*p - 27*p + 8*p**4 + (-2 + 0 - p + 1)*(-6*p**3 - 21 + 21).\nAnswer: 14*p**4 + 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 499510 - 453477.8.\nAnswer: 46032.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*c - 2*c - 3*c + (3 - 1 - 3)*(4*c - 2*c - c) + 2*c - c + c - 16 - 17 + 6 + 2*c + 0*c + 2*c + 0*c to the form u*c + w and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 51\/25 and -53\/30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 1 = 123. Does 38 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(((sqrt(500) + 0 - sqrt(500))*2 - sqrt(500)) + -4))**2 + (6*sqrt(60)\/(sqrt(12) + (sqrt(12) + sqrt(12) + sqrt(48)\/sqrt(4))*1 + sqrt(12)))**2 + 2.\nAnswer: 320*sqrt(5) + 10366\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*x - 238 = 458. Let u = 158 - 1108\/7. Which is the nearest to u?  (a) 0.1  (b) -2\/3  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*p**4 + 734*p**3 + 3207*p + 18286544?\nAnswer: -8*p**3 + 2202*p**2 + 3207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (8*r + 1 + 13*r - 18*r)*(-185 + 84*r**3 + 185) to b*r**3 + d + a*r**4 + z*r**2 + t*r and give a.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -12*l - 7. Let c be v(20). Let p = -365 - c. Let u = -42 - p. What are the prime factors of u?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 12\/(5 + -1) - (-5 + 5). Suppose 5*f + 8 = -7, 0 = -k*n + 4*f + 75. What is the nearest to n in -1, 1\/3, -0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**2 - 45*d - 510. Find the common denominator of -49\/167 and z(54).\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-868)\/322 + 70\/24 + 8\/(-32)?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-5)\/(-10) + 33\/(-78). Which is bigger: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 967.9101 nanoseconds to milliseconds.\nAnswer: 0.0009679101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*z - 9*z - 234 = 0. What is the remainder when z*((-785)\/15 + -5) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**2 - 294*r + 24. Let d(s) = -3*s**2 + 587*s - 42. Let t(m) = -4*d(m) - 7*o(m). Factor t(w).\nAnswer: 5*w*(w - 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1.6 or -492\/7?\nAnswer: -492\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15948 - 15971 - (-102 + 0).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 5, 64 in decreasing order.\nAnswer: 64, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 828 divided by 2?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1274\/441 + (-1)\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2516b + 329?\nAnswer: 25496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.198 - 15.102. What is n rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 2*w + 23. Let t = 681 + -691. Let x be d(t). Solve -19 = 3*o - 0*l - 2*l, o - x*l = -11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*y - 16*y - 2*y - 41*y - 131*y.\nAnswer: -219*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6\/(-10) + (-189)\/(-285). Let n = a - -148\/665. Let f = 30733\/3 - 10245. What is the closest to -1 in f, n, -11?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o**3\/4 + 375*o**2\/4 - 759*o\/4 + 381\/4 = 0. Calculate o.\nAnswer: -127, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -104dc86 (base 14) in base 8?\nAnswer: -35350576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 196, 715, 1570, 2761, 4288, 6151, 8350?\nAnswer: 10885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -1047*d - 14411. What is y(-14)?\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**3 + 6*s**2 + 5*s - 6. Let u be o(-5). Let x be 20\/u*(-5 - -2). Let q = -6453 + 6493. Calculate the greatest common divisor of x and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5*-969519\nAnswer: -4847595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 0*n = 0. Suppose -6 + n = -3*v. Suppose -7*q + v*q = 3*p - 164, -q - 60 = -p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2671578 and 416?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q\/((q*q**(-2\/31))\/q))**5\/(q**(8\/5))**(-1) assuming q is positive.\nAnswer: q**(1848\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.04, -4, 1, -13798?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(144)*3 - sqrt(144))\/((sqrt(144)*-1)\/sqrt(12)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 2*t**2 + 22556*t - 769186. What is v(34)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 4496\nAnswer: -3\/4496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -39\/28 and 103\/1036.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 6723\/54*(-2)\/1089 and -71\/968.\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*b - 45 = 63 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y - 7. Let f be h(6). Let s(z) = -22*z - 14. Let r(i) = -9*i - 6. Let k(l) = 12*r(l) - 5*s(l). Let d(v) = -1. Determine f*k(u) + 3*d(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 50552876 and 29722.\nAnswer: 4246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:02 PM and 8:48 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 + -1)\/(-1 + 0). Find the second derivative of o - 2 - 2*x**2 + 1 - 2*x wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 10 = 3*x. Suppose 4*o + o - 85 = -x*i, 5*o - i = 55. Suppose -63*d + 702 + 306 = 0. Calculate the smallest common multiple of o and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-13)\/(-5) - (-18)\/(-30). Suppose 5*d - q*x = 2, 2*x + 1 = x. Solve d = -2*k + k - 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 42517768 to the nearest integer?\nAnswer: 6521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r**(1\/8)*r*r)\/(r**7*r))**(-10\/11) assuming r is positive.\nAnswer: r**(195\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(3\/2)*t**8*t**(1\/4)\/(t\/(t*t\/(t\/t**(-24)))) assuming t is positive.\nAnswer: t**(-57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((0 - -2) + -2)\/(2 - 0). Let f be (-1 + (-1)\/3)\/(-1 + -3). Determine i, given that c*i**2 - 1\/3*i**3 + 0 + 0*i - f*i**5 - 2\/3*i**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k**2\/4 + 748*k - 559504 = 0. Calculate k.\nAnswer: 1496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(2\/13)\/q**(-5))\/(((q**(-2\/21)*q*q*q)\/q)\/q*q**6) assuming q is positive.\nAnswer: q**(-478\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -1. Let s(u) = -2*u + 10. Let j be -2 + 2 + -1 - 0. Let o(y) = 2*y + 1. Let g be o(j). Determine g*s(r) - 12*h(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105 = -3*v + 5*j, -5*v + 175 = -10*j + 8*j. Suppose 4*y + m - 16 = 0, 5*m + v = y + 52. Factor 9\/2*w - 3*w**y + 0 + 3\/4*w**4 + 3\/4*w**2.\nAnswer: 3*w*(w - 3)*(w - 2)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in 0.4, 63486, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 5*s + 5)*(1 - 1 - 3*s**3).\nAnswer: 15*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 5715879 a multiple of 339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -861, 2, -3, 1405 in decreasing order.\nAnswer: 1405, 2, 0, -3, -861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-98)\/21)\/((-44)\/12 - -1) + 0?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 172\/175 - 46\/25. Let u = 0.4 + -0.4. Let l = u - -0.4. Put l, z, -0.1 in descending order.\nAnswer: l, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -15 + 5. Let l be (-2)\/(-3)*(-75)\/a. Solve -l*g + 0*g - 10 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pgqq when four letters picked without replacement from {p: 6, q: 6, e: 6, j: 1, g: 1}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.62*-457.\nAnswer: 283.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -24?  (a) 2  (b) -999  (c) 0.1  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -3 + (-31 - -35).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a = -2*g - 38, 3*g - 432647 = 28*a - 432770 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 - 0. Let w be (-1 + t + 0)*1. Suppose -4*c = 3*b + 1, 3 = 5*c + w*b - 1. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*c - 2*c + 36. Let k(y) = y**2 + 3*y - 18. Let z be k(c). Factor 4\/3*v**3 + 14\/3*v**4 + 0 + z*v**2 + 0*v + 10\/3*v**5.\nAnswer: 2*v**3*(v + 1)*(5*v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 8*n - 5. Let u be b(1). Suppose 8*a = -u*a + 891. Suppose -3*z - 2*h + 231 = 0, -3*h = -z - 5*h + a. Calculate the remainder when z is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 1 - (-23 - -11 - -14 - (4 + -55))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (46\/(-6))\/(40*7\/(-840))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (4\/6)\/((-16)\/(-9864)). Let v = 698 - x. List the prime factors of v.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v - 2776 = -3*t - 2797, -13*t + v = 91 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3173647098?\nAnswer: 2, 3, 1979, 267277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-10)\/20 + 2\/2)*3316. Let t be (-7)\/(-14) - (-4)\/(16\/c). Suppose -4*l - t + 1879 = 4*f, 0 = 4*f - 3*l - 1492. What is f rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the first derivative of -x**4\/4 - 10*x**3\/3 - 12. Let o be h(-10). Solve o = -2*w - 2*w + 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91595.5 millennia in months?\nAnswer: 1099146000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*i - 74558 = -74173 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 225 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/11  (b) 1\/1100  (c) -9\/2  (d) -0.3  (e) -0.16  (f) 2  (g) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.7 + -2.6934. Let j = 0.6514 + m. What is j rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 2*t**2 - 14*t - 8. Let x(k) = -4*k**2 - 39*k - 1. Let u be x(-9). Suppose 1 + u = -3*z. List the prime factors of s(z).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in q + 376*q**2 - 6 + 6.\nAnswer: 376*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:07 AM and 4:50 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -876087, -876048, -875975, -875862, -875703, -875492, -875223?\nAnswer: -874890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*z - 30 = 3*z. Suppose 2*g = -5*c - z + 2, 20 = -4*c + 4*g. Let q(f) = -f**3 - 3*f**2 - 2*f - 2. Determine q(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -65*(-4)\/(-10)*-1 is divided by (-21 - 0)\/((-3)\/2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n + 112*z - 10 = 113*z, n + z = 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 39736 to the power of 1\/2, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from mbybu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 + 5. Let o = -15 + 15. What is the closest to o in -5, r, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 362 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f + 202 + 30. Suppose -92 = -10*v + f. What is the tens digit of 1*9\/(-6)*(-1460)\/v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 * 32.841\nAnswer: -131.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from wkkkoowkw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.6 + 0.4. Let n = -278 + 3612\/13. What is the nearest to p in n, 0.5, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, 347, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g - c - 15 = 0, -15 = 2*c + 3*c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:03 PM and 11:21 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 3679, 7234, 10665, 13978, 17179, 20274, 23269, 26170?\n\"Answer: z**3 - 68*z**2 + 3752*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, a: 3}. What is prob of sequence aax?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 75, 307, 693, 1233?\nAnswer: 1927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1174 + 2888. List the prime factors of g.\nAnswer: 2, 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**3 - 2956*c**2 - 2*c + 2956.\nAnswer: 2*(c - 1478)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 10, d: 8, w: 1}. What is prob of sequence ewde?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 5*v = 2*v + 130, -3*y + 2*v = 78. Let l = y + 28. Suppose -3*a = -l*a + 5*m - 49, a - 2*m = 42. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 96950*n**2 + 71 - n**3 + 2*n**3 + 0*n**3 - 96957*n**2 to l + x*n + t*n**2 + a*n**3 and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-284)\/8 - 3)*-30. Suppose s = -5*q - 5845, 0 = -q - 0*q - 3*s - w. Round q to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 5 = 10. Is (126\/j)\/(9\/(-60)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lxiwtwtlggltxxw. Give prob of picking 1 x, 1 t, and 1 l.\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 5*k**2 + 69*k - 84. Calculate s(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -15*(-6)\/(-18)*14. Let g be (-27)\/21 + 1 - 110\/h. Is g greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -47 - 1?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -955 - -293. Is 5 a factor of -1 - 6\/(-9) - o\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 2*w = -d + 7, -w - 4 = 2*d. Let m(t) = -205*t - 239. What is the tens digit of m(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**3 - 4*s**2 + 2*s + 3. Determine j(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -1176.63 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1608*k - 130 = -1618*k for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -71\/8 and -31\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -4, -87, 168, -10 in increasing order.\nAnswer: -87, -10, -4, 4, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -305 (base 7) in base 8?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 - -1110000130?\nAnswer: 1110000133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -14 - 4. Calculate the smallest common multiple of q and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10*141.\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put together -188.439888 and -12.\nAnswer: -200.439888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*t + 9*t + 0*t)*(-698 - 639 + 1275)*(2 - 5 - 3*t + 2).\nAnswer: 186*t**2 + 62*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 m, and 1 s when three letters picked without replacement from {m: 2, r: 1, s: 1, c: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.449 and -2.\nAnswer: 2.898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, -4, 1, -0.5, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 9*p**3 - 2*p**2 - 2*p - 3. Let y(r) = 9*r**3 - 3*r**2 - 2*r - 4. Let a(k) = 5*w(k) - 4*y(k). Suppose -h + 0 + 1 = 0. Does 5 divide a(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 4*y - 5 = 0, 2*n = 2*y + 8950. Suppose -2*p - r + 21 = 0, 5*p + r - 5 - 49 = 0. What is the remainder when n\/150 + (-2)\/(-15) is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 159468 divided by -1.\nAnswer: -159468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = 3*i + 90, -3*i + 5*i = -2*v + 36. Let c be (v - 12)\/((27\/(-12))\/(-3)). Solve 5*h - c = 7*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -304 + 223 - 353 = 62*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7007\/154*1768\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11640964939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.48 and -536291732?\nAnswer: 536291732.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 34 - 27. Let r = t - 6. Which is the nearest to r?  (a) 0.3  (b) -0.3  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4*(27\/(-12) + 3). Find the third derivative of -4*x**3 + x**o - 3*x**2 + 3*x**3 + 2*x**6 wrt x.\nAnswer: 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 618, 2458, 5528, 9834, 15382, 22178, 30228, 39538?\nAnswer: 50114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2388081 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1609874.2 rounded to the nearest one thousand?\nAnswer: -1610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9 - -36) + -43 + 17 - -53.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**2\/5 - 91792*q + 5266107040.\nAnswer: 2*(q - 114740)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 7\/2 of a millennium?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2 * 9.609\nAnswer: 19.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -a - 2*a + 4*a + (2*a - 3*a + 0*a)*(-2 + 5 - 1) - 3*a + 5*a - 4*a + (-a - 4*a + 4*a)*(0 + 3 - 5) + 2*a - 3 + 3 + 3 + a - 3.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -29*k**2 + 17*k - 80 wrt k?\nAnswer: -58*k + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2103990 divided by 701330?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:28 PM and 11:17 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 9 in 78, -331, -3\/73?\nAnswer: -3\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -17 - -12. Let n = 0 - v. Let s = 52\/125 + -2\/125. What is the nearest to 1\/5 in 0.2, n, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 40 and 12808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 2*s**3 + s**2. Let c = 14 + -13. Let i be d(c). Calculate the highest common factor of i and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 5}. What is prob of picking 2 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 479 and 3741.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -2*k + 3256. Let p(j) = -j. What is p(n(o))?\nAnswer: 2*o - 3256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 - 5. Let a(t) = -t**2 + 1. Let h(l) = -6*l**2 - l + 7. Let x(r) = -14*a(r) + 2*h(r). What is the units digit of x(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 2*y - 2. Let k = 4 - 2. Let q be j(k). Let d(c) = 2*c + 17. Let g be d(0). Solve -4*h - q*z + 1 = -g, 3*z = 4*h + 7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the third derivative of 0*z - 1\/60*z**6 + 0*z**3 + 24 - 1\/10*z**5 + 0*z**4 - 2*z**2 + 1\/105*z**7. What is the third derivative of i(b) wrt b?\nAnswer: 48*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the second derivative of -1\/15*c**4 + 0*c**2 + 0*c**5 + 0 - 1\/105*c**7 - 2*c + 1\/15*c**3 + 2\/75*c**6. Factor g(w).\nAnswer: -2*w*(w - 1)**3*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 4 + 28 = 0. Let w(h) = h**2 - 11*h. Let x be w(z). What is the units digit of ((-17)\/(-2))\/((-4)\/x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**2 - 8*d - 2. Suppose 5*b = 10*b - 15. Suppose -2*p - 4*s - b = 9, s = -5*p - 30. Calculate i(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1695.96 from 83153.\nAnswer: 84848.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 + 0. Let l(p) = -2*p - 2. What is the lowest common multiple of 1 and l(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 114 and 18206617.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12427\/996 - 98\/249. What is the common denominator of v and -101\/22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 2*k + 1. Let t(y) = -5*y**2 - 50*y - 25. Let x(r) = -t(r) - 25*u(r). Let a(q) = -5*q. Calculate x(a(n)).\nAnswer: 125*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -5*f. Let p(r) = 16*r - 1. Let w be (4\/5)\/(40\/(-100)). What is w*p(g) - 7*h(g)?\nAnswer: 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -3.113011 * 1\nAnswer: -3.113011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the second derivative of f**5\/20 + 7*f**4\/12 - 3*f**3 - 3*f**2 + 883*f. What is w(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-372 - -369) + (34 - (2 + 1))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2046 by 2.\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10181, 10188, 10195, 10202?\nAnswer: 10209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 80 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -133, -32, 2.\nAnswer: -133, -32, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 9, c: 1, e: 2, q: 4, t: 1}. What is prob of sequence eq?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-35948)\/7568*(-48)\/19.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -25*x - 229. Suppose -13*o = -17*o - 72. Does 7 divide h(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**3 - 24*f**2 - 63*f - 5. Calculate j(-21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1695*w = 3332*w - 1681*w - 5368 for w.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 2*i**2 + 8*i + 12. Let j be u(-2). Let m(r) = -3*r**3 + 3*r**2 - 4*r + 11. Let g be m(j). Let s = 266 + g. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4402.478 at most as big as 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -135*a + 66*a + 67*a. Let m(n) = -2*n**2 + 98. What is m(q(z))?\nAnswer: -8*z**2 + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -73 - -85.1. Let v = t + -12. Let y(m) = m**3 - 12*m**2 - 2*m + 25. Let f be y(12). What is the second biggest value in f, 2\/11, -2\/7, v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fof when three letters picked without replacement from {e: 2, o: 2, y: 6, g: 3, f: 3}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**3 + 59*o**2 + 13193*o - 40120. Calculate z(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/102 and -42\/17?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the second derivative of -j**3\/6 + 2*j**2 - 8*j. Let l be c(5). Put l, -3, 0 in increasing order.\nAnswer: -3, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 2 + (4 - 3) + 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*i*o + 324*i - 13322*o - 278 with respect to o.\nAnswer: -4*i - 13322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 119033, 238065, 357097?\nAnswer: 476129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -547 by 70.\nAnswer: -547\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.38515 rounded to 1 dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(55)\/(4*sqrt(11)*1).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-26)\/39 + 3\/(54\/(-240))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 41219, 41218, 41217?\n\"Answer: -r + 41220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2485347 to the nearest integer?\nAnswer: 1576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 348955519 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 32 * -0.133.\nAnswer: -4.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2 - 23078.1.\nAnswer: -23078.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 4*j + 3. Let h(d) = -d - 1. Let v be (6\/(-15))\/(5\/25). Calculate v*k(q) - 6*h(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + ((-1 + sqrt(432))*-2 - sqrt(432)) + -2*2*sqrt(432))**2.\nAnswer: -168*sqrt(3) + 21169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 422*r - 3. Let k(u) = 850*u - 7. Determine 3*k(s) - 7*x(s).\nAnswer: -404*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23742 is divided by 7619?\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7172*j + 14906 - 708 = -2079*j - 11267 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 486 = 158. Let c = w - 88. What is the greatest common divisor of 19 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 127, 5, -13231 in ascending order.\nAnswer: -13231, 5, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.08 + 0.38. Let y = -0.395 + -0.005. Which is the second biggest value?  (a) s  (b) y  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21242 minus -868.697675?\nAnswer: 22110.697675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -0.4  (b) -27  (c) -1\/2  (d) -1.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2451455711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 866124?\nAnswer: 2, 3, 7, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6899295 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, y: 1, j: 1, a: 1, x: 1}. What is prob of picking 1 x and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 25 - 21. What is the lowest common multiple of 16 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 92407179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3540164 is divided by 23?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 3, f: 2, a: 5, s: 2, b: 2, n: 2}. What is prob of picking 2 f and 1 b?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*c**3*y - 115*c**2*y**2 + 4*c**2 - 4*c + 207*y**2 wrt c?\nAnswer: -12*c*y - 230*y**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 913*k + k**3 - 2 - 912*k - 2*k**2 + k**2 as q*k + o + y*k**2 + f*k**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 44\/12 - 2\/3. Suppose 5*l + 0*c + h*c - 37 = 0, -5 = 3*l - 5*c. Suppose -i - 100 = -l*z, z - 3*z = 5*i - 40. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the first derivative of x**4\/4 + 8*x**3\/3 + 7*x**2\/2 + 18. Let c be 1 + -1 - (7 - 2). Does 20 divide k(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30\/((-1560)\/(-13)))\/((-3)\/4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 34 - 27. Suppose f*l - 11 + 4 = 0. Is l less than or equal to 4\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -93 + 94. Solve 28 = 29*d - s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 4, m: 3, c: 7}. Give prob of picking 1 c and 1 p.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 118292 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(96)\/sqrt(3) - (3 + sqrt(32)*4) - (sqrt(32) + 1 + sqrt(288) - -5*sqrt(288)))**2.\nAnswer: 896*sqrt(2) + 25104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -51 + -29?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (-a - a**4 + a)*(-2 + 1 + 2)*(-5 + 5 - 1) - a**4 - 5*a**4 + a + 41*a**4 - 8*a**4 - 10*a**4 + 3*a**4 as g + z*a + w*a**2 + q*a**3 + r*a**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 471 - 461. Suppose -3*c + r = -3*g + 895, -3*g + 900 = 2*c. List the prime factors of g.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*u**2 + 9854616*u - 6069591031716.\nAnswer: -4*(u - 1231827)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**2 + 9*m - 23. Let i be g(-11). Is -27\/17 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -7061 and -0.2.\nAnswer: 1412.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3006 - -3001. Let b be (1\/8)\/((-12)\/(-24)). What is the nearest to -4\/5 in a, b, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 148057 divided by -141\nAnswer: -148057\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**2 - 25*j + 3. Let s be u(25). Suppose 3*r + 17 = -x, -2*r + 15 = -s*r - 5*x. Which is bigger: -33 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l = -4*v + 10 + 22, -5*v + 7 = -2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/18 - 910\/(-45). Let d be 4\/g - (-2)\/(-10). Let h = -1 - -3. Solve h = -2*s - d*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 65*b + 12. Is u(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 8256077 and 5?\nAnswer: 8256072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -19709 by 5.\nAnswer: -19709\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 5\/6  (b) 26  (c) 0.2  (d) 5  (e) -5\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (3\/8*-2)\/(61275\/3268*(-2)\/(-20))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00003578782 to 6 dps.\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the second derivative of 10*z**7\/147 + 202*z**6\/35 + 4668*z**5\/35 + 1984*z**4\/21 - 7040*z**3\/7 + 7200*z**2\/7 - 6*z - 151. Solve u(m) = 0 for m.\nAnswer: -30, -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**5\/4 + 17*g**4\/4 - 20*g**3 + 16*g**2.\nAnswer: -g**2*(g - 8)**2*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 5*n - 20 = -2*j, 5*n = -j + 20. Which is smaller: j or 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6266?\nAnswer: 2, 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2369 + (6 - 6)\/(-8) - 2.\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-3\/8)\/y*y\/(y**(1\/19)*y)*(y*y**5*y)**(11\/6) assuming y is positive.\nAnswer: y**(5201\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -65 + 72. Suppose 28 = 4*a - 4*m, 0*a - 3*a - 4*m = j. Factor 2\/5*b - 9\/5*b**2 + 7\/5*b**a + 0.\nAnswer: b*(b - 1)*(7*b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 38*u + 2*u**2 + 2*u**5 + 22*u**2 - 37*u wrt u.\nAnswer: 40*u**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 1 = 15. Suppose -13 = -x - f*a + 2, 0 = -5*x + a + 75. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -38344 by 4.\nAnswer: -9586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21998, 43952, 65882, 87776, 109622, 131408?\nAnswer: 153122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 3*h + 2. Let s be a(8). Suppose -27*n + 2 = -s*n. Suppose 3*y - 5*k = 27, k - 11 = y + 6*k. Is n at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**2 + j + 19. Let x be u(5). Let r be (x + (-5)\/3)*(19 - 7). Let h = 35 + r. Solve 3 = -h*z + 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from hcyeeya.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10*g**5 + 250*g**4 + 20316*g - 2?\nAnswer: 200*g**3 + 3000*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -20 - -1362?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -23801, -44142, -64471, -84782, -105069, -125326, -145547, -165726?\n\"Answer: q**3 - 20348*q - 3454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 23972 and 416?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6014 = 68615*u - 68809*u for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -16 + (18 + -14 - -16) - (-2 + -4) - 45?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 26129250 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -63.03 - -63.06. What is the fourth biggest value in 11, 5, s, 0.04, 0.5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 84*s**5 - 21*s**3 + 93*s - 21. Let y(w) = 21*w**5 - 5*w**3 + 23*w - 5. Let g(c) = 5*a(c) - 21*y(c). What is the second derivative of g(o) wrt o?\nAnswer: -420*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6 + 16)*(-8)\/10 + 12. Let w = 83 - 84. Put 47, w, r in decreasing order.\nAnswer: 47, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 times -2359?\nAnswer: 7077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 2*z**2 + 2*z**2 + 2*z**2 - 5*z**2. Let r(c) = 5*c + 2. Let s(k) = -36*k - 15. Let p(w) = -15*r(w) - 2*s(w). Determine m(p(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -7 - (6 + 0 - (-13 - -18)) - -10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 take away 284?\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*c - 5*c**4 + 4*c)*((0 - 1 - 1)*(-4*c + 4*c - c) - 3*c + 5*c - 3*c + 4 + 0 - 35*c + 37*c).\nAnswer: -15*c**5 - 20*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 62 + (4 - (94 + -59))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence puu when three letters picked without replacement from {i: 3, p: 1, u: 7}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*g + 12*g - 150. Suppose 0 = -2*c - 4*c + g. Suppose -c*o - 24 = -3*o. Which is smaller: -23\/2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 3*k - 2 - 2*k - k**2 - k + 2*k. Suppose 0 = -3*l + 3 + 3. Give v(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -348372, -348352, -348332?\n\"Answer: 20*d - 348392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*x - 41 = 59. Solve 4*i - 1 + 6 = u, 5*i + 2*u = x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 10372500 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 2*u + 22 = 2*s, -18 = -3*s + 3*u. Suppose s*a = 2*x - 33, 5*a + 29 = -x + 2*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*y**3 - 2*y**4 - 2*y**4 + 0*y**4 - 4*y**3 + 4*y**3 - 14*y as l*y**2 + o*y**3 + r*y**4 + q*y + d and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -23775, -47565, -71351, -95121, -118863, -142565, -166215, -189801?\nAnswer: -213311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -111\/28 and -7\/46?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (44*w**4 - 3*w**3 + 3*w**3)*((3 - 1 - 1)*(1 + 1 - 3) - 3 + 2 + 0 + 3 + 0 - 2 - 13 + 14 - 18).\nAnswer: -792*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 873*q**2 + 269*q - 820. What is the units digit of s(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -27 + 11 + o + 3. Let a(u) = 4 + 2 - 3. Give 9*a(t) + 2*k(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 - (-602 + (-1 - -7)). Let u = 1094 - h. List the prime factors of u.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3087 - 3944 - 3204 = 23*d. Is -445 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7486 divided by 6?\nAnswer: 3743\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3515*g - 1748.\nAnswer: -3515","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -30 - t**2 + 17 + 18 - 6*t**2 + 5*t. Let i(p) = 3*p**2 - 2*p - 3. Let u(o) = 5*i(o) + 2*k(o). Determine u(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 0 - 1)*(2 + 1 - n + 1)*(-2*n + 2*n**2 + 2*n - 1) in the form o*n + c*n**2 + z + a*n**3 and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 280655?\nAnswer: 5, 56131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/8 of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7402, -7616, -7958, -8416, -8978, -9632, -10366, -11168?\nAnswer: -12026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 10210, 10157, 10104, 10051, 9998, 9945?\n\"Answer: -53*s + 10263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -152*a**2 + 3*a + 0*a - 103*a**2 + 504*a**2 - 105*a**2 to the form z + s*a + w*a**2 and give w.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 divided by -38?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 139*c - 448 + 1466 = 566 + 869 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 + 8. Suppose k*m - 5*n = 185, -5*m - n + 173 = -m. Let w be 1\/3 + m\/9. Solve -3*p + 3*o + 9 = 0, o + 23 = w*p + 4*o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 6*c. Let y(q) = -65894973*q. Give p(y(h)).\nAnswer: -395369838*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 591 - 95 = 2*j. What is the greatest common factor of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 416 smaller than 416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 7 - 53)*(4*t + t - 6*t)*(4 - 4 + 2*t)*(2*t - t - 4*t).\nAnswer: -246*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(20)\/(-6*sqrt(64)).\nAnswer: -sqrt(5)\/24 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -12*a + 96. Suppose 3*c = 2*c + z, 5*c = -z + a. Let o = 0.37 + -0.07. What is the nearest to c in 3, -2\/9, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8.6 - -8. Let p be 1754\/84 - 22\/(-77). Let v = p - 64\/3. Which is the biggest value?  (a) v  (b) -3\/2  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jl when two letters picked without replacement from {l: 2, j: 10}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 856381440 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 13 = 2*c. Let z be (1 - -2)*(-2)\/c. Suppose 6*u - u = -10. Which is greater: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*j**2 - 2*j**3 + 0*j**3 + 3*j**3 - 3*j**3 - 8*j to the form w*j + f + i*j**2 + n*j**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 17557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8*i*u**5 + 8*i*u**2 + i*u + 9*i - 2*u**5 - 4*u wrt u.\nAnswer: -160*i*u**3 + 16*i - 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 78 (base 15) to base 5.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(110) + (sqrt(110) + sqrt(110)*1 - sqrt(110))*-3))\/(sqrt(1440)*-2*1).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.8 - 2.18. Let k = 0.62 - w. Which is the nearest to k?  (a) -0.5  (b) -1.7  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -8*z + 3*z. Let p be (-1)\/z + (-424)\/(-16). Let m be (-1462)\/(-6) + 10\/(-15). What is the greatest common factor of p and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 21*j**4 + 3*j**5 - 5*j + 25 + 10*j**3 + 4*j**4 - 50*j**2 - 19*j**5 + 11*j**5 = 0. What is j?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.26382454 rounded to 2 decimal places?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 55\/((-25)\/(-5)) + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**2\/6 - 47*g\/6 + 22.\nAnswer: (g - 44)*(g - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 555\/2 - 278. Let k = -3 + 0. Sort k, z, 1\/11 in descending order.\nAnswer: 1\/11, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 2*l**2 + 4*l + 2. Let j be q(-2). Let x = -5 + 6. Calculate the remainder when x is divided by ((-2)\/4)\/((-1)\/j).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s**4 + 80*s**3 + 5*s**2 - 80*s = 0. Calculate s.\nAnswer: -1, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 12357 (base 8) to base 2\nAnswer: 1010011101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the second derivative of 0*k**2 + 0*k**4 + 0*k**3 - 1\/5*k**5 + 0 + 1\/15*k**6 - 8*k. Determine w so that c(w) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -750*y**2 - 1158?\nAnswer: -1500*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the third derivative of -19*s**4\/24 - 26*s**2 + 1. Let o(m) = -m. Calculate o(l(u)).\nAnswer: 19*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 277480814?\nAnswer: 2, 13, 31, 344269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 504 - 319. Let s(y) = 3*y**3 + 534*y**2 + 50*y + 8974. Let z be s(-178). Calculate the greatest common divisor of z and r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2371162919 - -3605.\nAnswer: -2371159314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 55453, 221894, 499327, 887752?\n\"Answer: 55496*x**2 - 47*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 539215 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40537419?\nAnswer: 3, 13, 1039421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2\/2)\/((-1)\/13). Is -3 + 1 - f*7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the first derivative of -b**3\/3 - 7*b**2\/2 - 3*b - 1284. Let r(s) = 2*s**3 + 3*s**2 + s. Let c be r(-2). Calculate a(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 3785  (b) 1  (c) 0.4  (d) -2  (e) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -135 - -54 - -127 - (1 - 0)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b - 235 + 63. Let i = -27 + b. Let h = 3647 + -3642. Solve 3*w + 0*o + 9 = -o, 0 = -h*w - 2*o - i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 5238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*j*k**3 - j*k**2*n**2 - 5*j + 5*k**3*n**2 + 11*k**3*n + 130*k**2*n**2 - 15 wrt n.\nAnswer: -2*j*k**2 + 10*k**3 + 260*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 1\/20 of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26119?\nAnswer: 26119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -15, 7, 0, -3 in descending order.\nAnswer: 7, 0, -3, -8, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (20 + -23 - 9 - (-2 + -6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 845*f - 2 - 243*f - 260*f - 87*f - 235*f.\nAnswer: 20*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*t - 2*z + 2120 - 2132, -44*t - 93 = 5*z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23531067 divided by -7843689.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -550676 or -1101351\/2?\nAnswer: -1101351\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (3 - 1001\/338)\/(((-188)\/96)\/(-1) - 2)\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Sum 4395.2 and -0.2.\nAnswer: 4395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.09  (b) 38574  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -228*d**2 - 192*d**2 + 9*d + 27 - 9*d + 421*d**2.\nAnswer: d**2 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes before 7:13 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - 0. Let m = 8 + r. Let l = -2 + m. Solve -l*b = 2*b + 3*z + 7, 0 = -b - 2*z - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = 5*p + 5 + 6, -21 = 3*p + 3*b for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1443b1 + -4?\nAnswer: -1443b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*t + 667 = 10*t. What is the third derivative of t*n**3 + 70*n**3 + 45*n**3 + 5*n**2 - 18*n**2 wrt n?\nAnswer: 828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 417 + 335 = 0. Let v = -85 - z. Put 0, v, 3, 9 in increasing order.\nAnswer: v, 0, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4\/13 in -2, -1, 12, 56\/5, -216\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 2 + 1 - 2 + 3 - r. Calculate z(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -102 (base 8) to base 16.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*h**3 + 176*h + 7*h**3 - 174*h - 2*h**3.\nAnswer: 2*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.2707 + -0.275488. Round m to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (19 + 11 - 1)*(10 - 10 - 3*f**2) - 59 + 59 - 6*f**2 + (-3 - 3 + 5)*(f**2 - 3*f**2 + f**2) - 3 + f**2 + 3 to the form l + o*f**2 + n*f and give o.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + -2 - (-9 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.201 in -5, 2, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llallvallyaayl. What is prob of picking 1 v and 1 a?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1176*h - 1192*h + 160 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*a**4*v + 441490*a**3*v**3 + 99921*a**2*v**2 + 3*a*v**3 wrt a?\nAnswer: -96*a*v + 2648940*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -4*u - 5. Let o(d) = 23*d + 29. Let z(w) = 34*m(w) + 6*o(w). What is the remainder when 29 is divided by z(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 418098?\nAnswer: 2, 3, 17, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s + 0*s + s)*(0*s**2 + 0*s**2 - 2*s**3) + 8659*s + 171*s**4 - 8659*s + 3*s**2 + (-4*s**3 + 2*s**3 + 4*s**3)*(-2*s - 1 + 1) - s**4 - 5 + 5.\nAnswer: 168*s**4 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -46987623 or -46987622?\nAnswer: -46987622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the first derivative of -j**2\/2 + 12*j - 6. Let k be b(10). Let n(a) = -6 + 0 + 7 + k*a. Determine n(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1357*j**2 + 457*j**2 + 71 + 37 + 452*j**2 + 446*j**2 - 24.\nAnswer: -2*j**2 + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the first derivative of 1659*z**2\/2 + 210*z + 371. Find the first derivative of d(p) wrt p.\nAnswer: 1659","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the second derivative of 88*k**6\/15 + 77*k**2\/2 - 282*k. Differentiate t(x) with respect to x.\nAnswer: 704*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 5, t: 5, u: 3, m: 4, q: 2}. Give prob of sequence ut.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -9*f + 15 + 57 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2 + 352 + 8 + -1. What is the highest common factor of 238 and d?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:01 PM and 7:20 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*q - 222335 = -116*q + 152461. Calculate the remainder when q is divided by 155.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((2 + -2)*-1)\/(-8 + 7). Solve 14*b = -c + 14 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 46974239?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 2*q = x + 19, 4*q + 7 = -5*x. Let g = q + 4. What is the second biggest value in 0.2, -3, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -23*f**2 + 2*f + 2. Let d(l) = -l**3 - l - 1. Let z(x) = -2*d(x) - v(x). What is the third derivative of z(w) wrt w?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1966*-920.\nAnswer: 1808720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(432) - sqrt(12))\/(sqrt(4) - (sqrt(36) + sqrt(4))*5).\nAnswer: -5*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/(-10) + 17\/30. Let t(j) be the third derivative of -2*j**2 + 0*j + 0 + 0*j**3 + d*j**4. Let h(v) = v. Determine h(t(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -17.69252632 - 24\nAnswer: -41.69252632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -5*x + 27190*x**3 + 1006 - 1001 - 4*x**2 + 8*x**2 - 27192*x**3. Suppose 0 = -4*j - j + 10. Determine i(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1889*v**2 - 2*v - 1103?\nAnswer: -3778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5046474 - 12?\nAnswer: -5046506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1228435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -87682966, -87682968, -87682970, -87682972?\nAnswer: -87682974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nhn when three letters picked without replacement from {d: 1, y: 1, h: 5, n: 13}?\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/5 and (-14)\/77 - 2427\/264.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -162, -305, -452, -603, -758?\n\"Answer: -2*k**2 - 137*k - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -14*(-5)\/4*2. Suppose -p = 4*p - v. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p + 6*p = -22. Factor -4*m**2 - p + 22 + 4*m.\nAnswer: -4*m*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) -3  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 94*z - 481. Calculate the smallest common multiple of u(7) and 78.\nAnswer: 4602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9 + -7. Suppose -t - z + 5 = 0, n*z = 4*t - 12 - 2. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8934864?\nAnswer: 2, 3, 19, 97, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*m - 12 + 27 + 14*m - 15.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (((-238)\/(-8))\/17 + -1 + 3\/4)*-2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -580710 divided by -78\nAnswer: 7445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-39)\/(-30)*4 - (15 + (-4 - 5))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.6?  (a) 11\/6  (b) -0.5  (c) 3\/2  (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/128 and 123\/100.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 31 - 31 + 2*s**4 + (-6 + 4 + 6)*(-2*s**2 + 4*s**2 - 3*s**2)*(-1 + 3*s**2 + 1) - 4*s**4 - 3*s**4 + 5*s**4.\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 74210.\nAnswer: 2, 5, 41, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from cvtxl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -26 + 36. Suppose w = s + 4*s. Find the third derivative of -2*b + 2*b + 3*b**s + 4*b**6 - 16*b**2 wrt b.\nAnswer: 480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 602 is divided by 73?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x - 479 - 503 = -1037 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the first derivative of -v**3\/3 + 9*v**2\/2 - 10*v + 4. Let n be l(8). Is (-235)\/n - (-8)\/16 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the third derivative of s**8\/20160 - s**7\/5040 - s**6\/180 + s**5\/60 - 2*s**2. Let f(v) be the third derivative of d(v). What is f(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o + 5*k - 9 = 3*o, 2*o = 2*k - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 43, 0.4, 8, -373.\nAnswer: -373, 0.4, 8, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2f - -9?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:29 AM and 10:46 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 78335669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-3))\/(54\/(-405)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -4*4*(3 + sqrt(4400))**2 + 2.\nAnswer: -70543 - 1920*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1676 - 1125. Calculate the highest common divisor of 29 and z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 74*d + 71*d + 64*d + 67*d - 326*d + 69*d.\nAnswer: 19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.06 + -0.06. Let d = -2.35 + 0.45. Let j = -2.2 - d. Which is the second smallest value?  (a) j  (b) y  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-4*(-5 + (((sqrt(204) - 2*sqrt(204)) + sqrt(204))\/sqrt(12) - (sqrt(17) + -2*sqrt(17) + 3))*2))**2 + -1.\nAnswer: -18145 + 4224*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 13751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 2604*b + 8680. Let i(p) = 2*p + 8. Determine 6510*i(w) - 6*r(w).\nAnswer: -2604*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r**(2\/3)*r)**(-25\/3)*(r*r**(-3\/4)\/r*r)\/((r**(-7)\/r)\/r))\/(((r\/(r*r**(-2)*r))\/((r*r*r**(1\/5))\/r))\/(r**(-1))**44) assuming r is positive.\nAnswer: r**(-10219\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*k - 6 = 38*k. Suppose -3*x + 15 = 0, x - 27 - 29 = -3*v. What is the remainder when v is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 30 + -19. Let l = -11.1 + p. What is the closest to -0.04 in -4, l, -5\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -220 + 218. Which is the nearest to -1?  (a) -2\/11  (b) k  (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -3*x**2 + 176*x + 2096. Give r(-10).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 121238, 242528, 363824, 485132, 606458, 727808, 849188, 970604?\n\"Answer: j**3 - 3*j**2 + 121292*j - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:21 PM and 2:12 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -4*s + 8. Let q be j(6). Let c be 6\/((-18)\/(-75)) - 2. Let f = q + c. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1371759986 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {o: 13, g: 5}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.48 - -0.531. Let b = v + 48.449. Let n = -34 + b. What is n rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 95 and 64148484?\nAnswer: 320742420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*p**2 - 11 + 10 + 6*p**2 - 2*p**2 + 31 + 8*p to the form m*p**2 + c*p + k and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 501*m + 1002 - 1716*m - 1002.\nAnswer: -1215*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -2*y**3 - 13*y**2 + 86*y - 41. List the prime factors of p(-14).\nAnswer: 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 15) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -215*n - 38*n + 426*n to h + p*n and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -112?  (a) -1\/2  (b) 171  (c) -0.2  (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -36, -41, -42, -33, -8, 39, 114?\n\"Answer: t**3 - 4*t**2 - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 5, -5, 90, 2 in ascending order.\nAnswer: -5, -2, 2, 5, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -57120000 rounded to the nearest 1000000?\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*y**3 - 456*y**3 + 432*y**3.\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 940.2962s in milliseconds?\nAnswer: 940296.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/9583, -4\/3, -4?\nAnswer: 2\/9583","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -464, -474, -496, -536, -600, -694, -824, -996?\n\"Answer: -r**3 - 3*r - 460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 14 - (3 - -3) - 6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 - 8)*(-51*g**2 + 51*g**2 + 9*g**4).\nAnswer: -99*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 59897608?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j + j - 25. Let w = -3 + j. Solve a**3 - 3*a**4 - 15*a - 2*a**2 + 6 + 2*a**3 + 11*a**w = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -14585, -30957, -47331, -63707, -80085, -96465, -112847?\n\"Answer: -r**2 - 16369*r + 1785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 43993\/229 >= 191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.0834, -5, 468, 1\/3, -0.4 in ascending order.\nAnswer: -5, -0.4, -0.0834, 1\/3, 468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -44, -106, -210, -356, -544?\nAnswer: -774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -45, -109, -187, -285, -409, -565?\n\"Answer: -a**3 - a**2 - 54*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**3 - 4*q**2 + q. Let s be c(4). Let l be 3 + 1 - -5*6\/(-15). Suppose 3*o + 5 = -l*h, 7*h = 2*h + 5*o + 25. Solve -6*p - s = -h*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.099542 times -254?\nAnswer: -25.283668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17 (base 10) to base 4.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1456 by -208.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 12181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert c730 (base 15) to base 4.\nAnswer: 22102020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (16\/(-24))\/(-1*(-26)\/12). Which is greater: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 675873 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - 0*j + 4*j - 110, 108 = 3*h + 3*j. Let -48*l**2 - 97*l**3 + 43*l**4 + h*l**3 - 12*l - 70*l**4 = 0. Calculate l.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -18 - -22. Sort f, 0.5, 0.\nAnswer: 0, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes after 6:35 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 3)*(0 + 0 + 8)*(-282 + 282 + 12*l).\nAnswer: -192*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -6*f + 4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 876 and 438.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/(-6)*(-3)\/(-2). Let q(y) = y + 1. Give q(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.0406 - -9.6494. Let x = w + -9.69. Let o = 0.03 - -3.97. What is the third smallest value in 0.4, x, o, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sbhhpbbsbbsp. Give prob of sequence bp.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2\/63)\/(j*(j**(-27)\/j*j)\/j))**18 assuming j is positive.\nAnswer: j**(3398\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*m + 2*m = 168. Let j(p) = -134*p + 1. Let l be j(-6). Suppose -m*t = -70 - l. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 19*d + 2*q - 173 + 99, -q - 21 = -5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from svssszzrrzzvzvs.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 2 k when three letters picked without replacement from kokykzzkklzozzkzkkz.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 15 - 3 = 0. Let t(m) = -m**3 - 7*m**2 - 7*m - 2. Let a be t(x). Solve -2 = -a*f + 3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2560000 to the nearest 100000.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 876 divide 24892416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 145, 0.3, 37.4, 0, -3, 0.4, 1 in descending order.\nAnswer: 145, 37.4, 1, 0.4, 0.3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = 2*q - 24, -s + 5*q - 9 = -2*s. Let x be (-3)\/(-9) - 34\/s. Solve 2*o - 15 = u - x*u, -5*o - 3*u = -28 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(7) + (sqrt(7) - ((1*sqrt(7)*-3)**2 - sqrt(7))) - (sqrt(49) + sqrt(245)\/sqrt(5))\/sqrt(7))*-4.\nAnswer: -1260 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -46 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.3 and -10150.\nAnswer: -10150.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 40 and 88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -39\/266, -1, -1\/3 in ascending order.\nAnswer: -1, -1\/3, -39\/266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -49574, -99179, -148784, -198389?\nAnswer: -247994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 168006 is divided by 879?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-c + 1 - 1)*(2*c - 3*c - c) + 2*c - 2 + 2 + 2*c**2)*(-1 + 7 + 2) in the form d*c + k*c**2 + u and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 245384 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: Suppose -5*v = -2*v - 108. Suppose -3*o - 2*x = -47, 2*x + 67 = 5*o - 22. Let g = o - 5. Calculate the highest common divisor of v and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 372\/(-490) - 2386\/58457?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 22.761 or 97?\nAnswer: 22.761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 72 and 29133.\nAnswer: 233064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6 or 7\/31?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 259.7 * 120.47.\nAnswer: 31286.059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -27 - 17*n - n**2 - 5*n**3 + 11 - 16*n**2 + 4*n**3. Let f be b(-16). Let r(d) = 0 + f + 127*d - 129*d. Let m(c) = 14*c - 1. What is r(m(w))?\nAnswer: -28*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 998 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 + -1. Let r be (-46)\/(6\/(j - 5)). Solve -4*q - r = -u + q, -4*u - 33 = 5*q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5604*35.\nAnswer: 19.614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4 - (-1)\/4*-12. Suppose -r = -t + 19. Let f(q) = -5*q - 1. Calculate the least common multiple of f(-2) and t.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 17*b + 1. Let a(k) = -55*k - 2. Let p(v) = -2*a(v) - 7*q(v). Determine p(3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 5*y - y + 24 + 102 - 26. Does 20 divide q(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -37.08681 + -55?\nAnswer: -92.08681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -826 by -1.\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 37 + -26. Calculate the lowest common multiple of 17\/(-34)*(-17 - 3) and y.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*u**2 + 60 - 576 - 497.\nAnswer: -4*u**2 - 1013","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h + 2*o = -9, 389 = -2*h + 12*o + 423 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -1243507782 less than -1243507782?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 246542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10\/17 + 11\/68. Let w(n) = n**2 + 12*n - 24. Let h be w(-14). Suppose g = -g + h. Which is the biggest value?  (a) v  (b) 0  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-18 - -18 - 4) + 22901.\nAnswer: 7, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 33 or 23?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.6268 to 2 dps.\nAnswer: 1.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -5*j**2 + 159*j - 3. Calculate n(32).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 15*u**2. Let t(j) be the third derivative of j**5\/15 + 33*j**3\/2 - 49*j**2. Let x(k) be the first derivative of t(k). What is l(x(y))?\nAnswer: 960*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78*s - 384 = -30*s + 156. Solve -s*u + 17 = 2*r, 2*r + 19 = 5*u + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 35512*m + 354718. What is a(-10)?\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2185 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, -1304, 1, -4, 2, 0 in decreasing order.\nAnswer: 2, 1, 0, -2\/9, -4, -1304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 148*n**2 + 286*n**3 + 4*n**4 + 240*n + 144 - 536*n**3 + 290*n**3 = 0. Calculate n.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 minutes after 2:04 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 43 - -22. Let o = -9 + i. Let t = 55.999967 - o. What is t rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five halves of a meter in millimeters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 9, -24 in descending order.\nAnswer: 9, 5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, i: 3, c: 1, z: 1, y: 1}. What is prob of picking 1 c, 1 y, 1 i, and 1 z?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**3 - 15*x**2 + 15*x - 17. Let h be p(14). Let m be ((-973)\/(-3))\/((-1)\/h). Factor -m*n**4 + 14*n**2 + 978*n**4 + 30*n**3 + 31*n**2.\nAnswer: 5*n**2*(n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(68)*6)\/(sqrt(36)\/(sqrt(18)\/sqrt(2))).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 654, -0.2, -4, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -3*p**2. Let b(q) be the first derivative of -q**2\/2 - 39. Determine b(c(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5595, 5560, 5525, 5490, 5455, 5420?\nAnswer: 5385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -35688 divided by -8?\nAnswer: 4461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*h**2 - 13941*h + 13941*h - 58*h**2.\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 8725250 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -27 - -13. Let o be g\/(-28) + (-6)\/(-4). What is the second derivative of 2*v - 13*v**2 + 13*v**2 - o*v**4 wrt v?\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5 - 73*f - 3 + 8 + (-6 + 6 - 16*f)*(1 - 3 + 0).\nAnswer: -41*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 14237.46l?\nAnswer: 14237460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 11863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (4 - 1)*4*15\/20. Suppose -r = -g*r. Solve t + 3*t - 4 = r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -68 + 91.97. Let q = 24 - w. Let j = 0.9969 + 0.0031. What is the closest to j in q, -1, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1180 + 6019. Let x = 7942 - a. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 8*z**3 - 1. Let u be x(-1). Let t be (-3)\/u - 4\/30. Determine b so that 1\/5*b**3 - t*b**5 + 0*b + 0 + 1\/5*b**4 - 1\/5*b**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-1\/4)\/c)\/c*c)**(-30\/11) assuming c is positive.\nAnswer: c**(75\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**3 + 3*q**2 - q + 33. List the prime factors of w(0).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32451167 a multiple of 1017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes after 10:23 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1683481*y + 1683365*y + 8932 = 0 for y.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 247735772 a multiple of 798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -36, 0, 29 in ascending order.\nAnswer: -36, -3, 0, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the first derivative of q**9\/126 - q**5\/12 - q**2\/2 - 5. Let j(z) be the second derivative of a(z). What is the third derivative of j(w) wrt w?\nAnswer: 480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -59.4 - -58.917. Put 0.2, n, 4 in ascending order.\nAnswer: n, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 366889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the first derivative of 4*u**3\/3 - 3*u**2\/2 - 4*u - 2. Let m be g(-2). What is the common denominator of 91\/15 and ((-3)\/m)\/((-15)\/243)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (483\/(-1610))\/(2\/(-40))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -2\/1136397?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2626 by 26.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12 - 82) + -384 + 478.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k = -110689*m + 110690*m, -3*m = -k - 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 2, r: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.33 + -0.07. Let k = -3.05 - -0.05. Let z = k + 6. Which is the closest to -1\/3?  (a) p  (b) -0.2  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:03 AM and 8:49 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zqssspszsqqzzzspqss. Give prob of sequence szss.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 4, -4, -757.\nAnswer: -757, -7, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 28, 26, 22, 16, 8?\n\"Answer: -u**2 + u + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*c + 10346 - 66080 = 0. What is the thousands digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56 = -0*i + 4*i - 4*h, -2*i = -h - 24. Let p be 34\/10 - 4\/i. Let r = 155 - 150. Solve -l + 16 = v - 4*l, 0 = p*v - r*l - 32 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-56)\/42*6\/(-16)*-6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the third derivative of -343*g**6\/780 + 49*g**5\/130 - 7*g**4\/52 + g**3\/39 + 6*g**2. Factor b(k).\nAnswer: -2*(7*k - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) 5139  (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 54, 36, 8, -36, -102, -196, -324, -492?\nAnswer: -706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.13 - 13.13. Let t = 10.4 + c. Let z = 2.6000072 + t. Round z to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1093.\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l + 2. Let o(u) = -4*u + 9. Let m = -6 + 4. Let z(h) = m*o(h) + 9*g(h). Suppose 0 = 28*y - 25*y - 6. Determine z(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000003067 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42360963?\nAnswer: 3, 23, 757, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 31181, 124820, 280883, 499370, 780281, 1123616, 1529375?\n\"Answer: 31212*g**2 + 3*g - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 4, x: 14}. What is prob of picking 1 x and 3 k?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**3 + 1. Let t(z) = -8*z**3 + 20*z**2. Let x = -795 - -797. Let k(i) = x*t(i) - 2*y(i). Find the third derivative of k(l) wrt l.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 100351058 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (132\/616 + 1401\/(-168))*((-6)\/5 + 2)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-132)\/(-28) - 6\/(-21). Let c be 4 - 2*(2 + (-75)\/10). Calculate the greatest common factor of c and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 115512120 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -45.88 less than or equal to -29223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -3, 0*n - 3*m = n - 11. Let s(q) = -2*q**3 - 1 - 2*q - 320*q**2 - 318*q**2 + 14*q**3 + 637*q**2. List the prime factors of s(n).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49423 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2613, 2615, 2653, 2739, 2885, 3103, 3405?\nAnswer: 3803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00003356 rounded to six dps?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 8*m**3 - 2*m**2 - 2. Let b be y(2). Let w be (10\/(-15))\/((-4)\/b). Suppose 3*v + 0 = w. Solve -v*x = 4*a + 29, 4*a = a + 5*x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 576 = 146. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -16041*i - 931834626 + 931834626 in the form y*i + g and give y.\nAnswer: -16041","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1100 (base 2) in base 13?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*x**2 - 2*x + 78*x**3 - 78*x**3 + x**5 + (-x + 2*x + 0*x)*(x**4 - 3*x**4 + 3*x**4).\nAnswer: 2*x**5 + 8*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 9 + (-6 - -13 - (14 - 15))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 2178, 4815, 7452, 10089, 12726, 15363?\n\"Answer: 2637*i - 459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1100101001 - 100101?\nAnswer: 1100000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is adcea3 + 1?\nAnswer: adcea4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -26*a**3*b + 4189856*a**2*b + 444*a*b - 2*b - 104813 wrt a?\nAnswer: -156*a*b + 8379712*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 196379843*p**5 + 242892*p**2 + 662?\nAnswer: 11782790580*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is v in v**3\/3 + 3680553*v**2 + 51527693*v + 541040605\/3 = 0?\nAnswer: -11041645, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 2*i**2 + 279*i - 2969. Calculate a(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 111110110101001 (base 2) to base 14\nAnswer: ba1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 19.2 and 1.20254?\nAnswer: 23.088768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6)\/21 - 486\/84. Let l = d - -13\/2. Sort 3, l, -5, -3 in descending order.\nAnswer: 3, l, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d = l - 10, -l - 27 + 9 = -5*d for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/((-4)\/(2\/(-1))). Let y be 1\/2 + 78\/(-12). Let d be 2*3\/y*-3. Solve 2*p - d = -5*c, 0*c = c + a*p - 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 106, -4, -2, -6, 7, -59, 3 in descending order.\nAnswer: 106, 7, 3, -2, -4, -6, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.9908 to 2 dps.\nAnswer: 0.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 208595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -264396 times 11.1\nAnswer: -2934795.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3865*z + 3898*z = -396. Sort -49, 1, -1, z in increasing order.\nAnswer: -49, z, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 0.1, -2\/3, -193, -2\/343, -0.2, 3?\nAnswer: -193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5664359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 83 - -60. Suppose 142*p = 141*p + l. Calculate the remainder when p is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2189793.\nAnswer: 3, 729931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 3 = 2*c. Suppose x - 35 = c*f, -54 = -3*x - f - f. Suppose 0 = 16*b - x*b + 116. Is b > 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -306\/5779 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 222 divide 1015580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/5 of a second in milliseconds?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the second derivative of x**3\/6 - x + 36. Let u(z) = 8*z + 5. Let w(k) = -k - 1. Let a(c) = -2*u(c) - 10*w(c). What is 3*a(m) + 16*o(m)?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**2 + 97812*b + 1174032.\nAnswer: -2*(b - 48918)*(b + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -140\/3 + 47. Let y = 308 + -404. Let s = y + 99. What is the nearest to s in 0, g, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -6*a**3 - a**2 + 3*a. Determine n(3).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 - 2 = 5*t + 5*q, 5*q = 15. Suppose -4*y = t - 14. Solve 3*d + 4*u + 23 = 55, -y*d = -4*u + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -s - 9, 2*s + 5*t - 12 - 15 = 0. Let n be (s - 7)*2\/(-3). Is (-436)\/(-12) + n\/6 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 154838 - 154829.0901. Let h = 8.9 - w. Round h to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -40, -106, -206, -340, -508, -710, -946?\nAnswer: -1216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1026 + 6953. Is r a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -3, 9980, -67?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 5 = 3*t, 4*t - 5 - 3 = -w. Suppose 9*c = 4*c - 10. Let k be (1 - -6) + (-1 + c - 1). Solve -i + 4*i + 6 = t*j, i + 10 = -k*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h - 785 = -5*r + h, -4*h = -4*r + 668. What is the highest common factor of r and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -55896, -55830, -55704, -55512, -55248, -54906, -54480, -53964?\n\"Answer: w**3 + 24*w**2 - 13*w - 55908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -2\/111, -2, 9?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*o + 2058 + 539 = 0. Calculate the highest common divisor of o and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -3*(-2)\/(-12) + 2\/3. What is the second biggest value in -0.2, -12, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:36 PM and 6:14 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*a + 342 = 55*a. Suppose 23*u - a*u = 69895. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 115873868 to the power of 1\/3, to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 240\/(-6120)*(-12)\/32*-4.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes before 8:01 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 216*m. Let v(i) = 2*i - 69. What is v(k(o))?\nAnswer: 432*o - 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (87 - 212 - -44) + 54?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(1\/25))**23*q**11*q\/q**(-2\/17) assuming q is positive.\nAnswer: q**(5541\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 196563*c**4*x + 19*c**4 - 9326*x + 101 wrt c.\nAnswer: 786252*c**3*x + 76*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1906829579 to the power of 1\/2, to the nearest integer?\nAnswer: 43667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -3718 * -10\nAnswer: 37180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 61506 (base 12) in base 9?\nAnswer: 213026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 4 + 206 = 0. Let t be (-374)\/590 + 42\/d. Is t at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 121?  (a) 0.16  (b) -5  (c) -4\/7  (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 156\/72 + 646\/(-204) + (-2 - (-19 + 2))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1480278 is divided by 17411?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3613763 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 307*s - 2597 - 4464 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**4 + 3102*f**3 + 19291365*f**2.\nAnswer: -3*f**2*(f - 3105)*(f + 2071)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 1 + -4 - (3 + -14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 608, 1947, 3288, 4631, 5976, 7323?\n\"Answer: x**2 + 1336*x - 729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 28 in 0, 37, 1\/4, -0.14, -1\/3?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 10*k**2 + 80*k + 124. Let c be h(-6). Suppose g + 4*l - 14 = 4, -3*l + 16 = 2*g. Solve -c = -v - g for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3 + 1 - 210)*5\/(-10). What is the lowest common multiple of 2 and (1 - -2)*z\/6?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4220 - -16879\/4. Which is the third smallest value?  (a) 3\/22  (b) t  (c) 4  (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*l = -0*l + 688. Calculate the remainder when 128 is divided by l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2225, -4441, -6659, -8879, -11101, -13325, -15551?\n\"Answer: -k**2 - 2213*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3022586 is divided by 6296.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -89\/42 + 11\/6. Suppose 0 = 4*g + 2*p + 2, -2*g + 4*p + 19 - 15 = 0. Which is the nearest to -2?  (a) u  (b) 0.4  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + 21 = 3*s, 3*o + 159697*s - 159701*s + 7 = 0 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from ytyttttttttttffftt?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5947836 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-3*-2*sqrt(448) - -3*sqrt(448)*-1)*-3)**2.\nAnswer: 580608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o + 7 - 9. What is the common denominator of (o - 6\/(-4))*-5 and 68\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24805438?\nAnswer: 2, 7, 557, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(-8)\/(-2 + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, -1\/8, -2 in descending order.\nAnswer: -1\/8, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -16 + 16 - 4*q**5 - 2*q + (-6*q**3 + 7*q**3 - 7*q**3)*(-q**2 - q**2 + q**2).\nAnswer: 2*q**5 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 7471837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 4*v + 4*r, v + 32 - 9 = 5*r. What is the first derivative of -5*k**3 + 3 + 6*k**3 - v*k**3 wrt k?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8123 is divided by 3918?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 162 + -155. What is the third derivative of c*n**5 - 6*n**2 - 10*n**5 + 6*n - 18*n**6 + 5*n + 4*n**2 wrt n?\nAnswer: -2160*n**3 - 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rkmrrrurkmrrmckmccu. What is prob of picking 2 k?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*40.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -27 - -26.8. Let l = -39.23 + 39.63. Let s = 200\/9 + -22. What is the closest to -4 in s, l, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 906252 + 8*s**2 - 906252.\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/13*t + 0 + 2\/13*t**2.\nAnswer: 2*t*(t - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.0775159 and -0.1.\nAnswer: 0.00775159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -0*g + 14. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/12*(15 + (-333)\/37) + 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 384 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -4.28 less than or equal to -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ywwi when four letters picked without replacement from ibwwbwbiwywwbww.\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 9) to base 2.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 103 - 107. Which is the smallest value?  (a) 5  (b) p  (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -3*q**2 - 228*q - 1838. What is d(-67)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 9*t**3 + 431*t**2 - 22*t + 1237. Calculate r(-48).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 72 = -0*m. Let g(t) = -t**3 - 3*t + 3. Let b be g(0). Suppose b*l + 24 = m. Solve -a - l = 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the first derivative of -m**2\/2 + 2. Let f(o) = 8*o. Give y(f(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the second derivative of 2*o**4\/3 + 2*o**3\/3 - 2*o**2 - 12*o. What are the prime factors of l(3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/5*1)\/((-453054)\/65660)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 take away 322079897420?\nAnswer: -322079897425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 973777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 492260.\nAnswer: 2, 5, 151, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0\/(1\/2*-2). Which is the closest to 0.2?  (a) 3  (b) k  (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f**(-2)\/f)*f*f)\/(f\/(f\/(f**(3\/7)*f)))*(f**(-4)*f)**(3\/10) assuming f is positive.\nAnswer: f**(257\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17, 12, 7, 2, -3, -8?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b - 5*z + z - 632, 5*z + 304 = 2*b. Calculate the least common multiple of b and 24.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 6 + 5 + r**3 - 9*r**2 - 5 - 11*r. Let d be v(10). Is 11 a factor of (-33)\/d*40\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 720*g**2*y**4 + 94*g**2 + 276*g*y**2 + 3710*y**4 - 29*y wrt y?\nAnswer: 17280*g**2*y + 89040*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 0, -6 = -5*k + 2*t + 4. Suppose -4 - 2 = k*s. Calculate the remainder when 74 is divided by (0 - s\/(-3)) + 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 3*x = -5*p + 27536, 2*x + 13768 = 2*p. Suppose 0*l + 2*l = p. Let d = -5342 + l. Round d to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -3 + 2*i - 6 + 5. Let f(m) = 1. Let g(h) = -4*f(h) - k(h). Let j(a) = a + 1. Let u(p) = -12*p - 10. Let n(s) = -20*j(s) - 2*u(s). Determine n(g(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -10102122022111 (base 3) in base 16?\nAnswer: -1bd2e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32278875.\nAnswer: 3, 5, 86077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13.86 + 14. Let g = 0.06 + v. Is 2\/11 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -3*y**3 - 10*y**2 - 3*y + 3. Let l(j) = -j**3 - j**2 - 2*j - 1. Let q(x) = -4*l(x) + w(x). Suppose -2*r + 3*r - 3 = 0. Let d be q(r). Sort 1, 5, d.\nAnswer: d, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8278 is divided by 78.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -4, -0.4, -5, -21, -8\/129?\nAnswer: -8\/129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 4*y - 42. Let n(b) = b**2 + 2*b - 10. Let s be n(-6). Let m be s\/(-3)*3*-1. Calculate the greatest common divisor of y and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -139\/4932324 and 71\/12.\nAnswer: 4932324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 40491*b + 6 - 5.\nAnswer: -40491*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z**2 - z - 6. Let p(x) = 4*x**2 + 32*x + 3. Let w be p(-8). Give h(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 4*w - 40 = 0. Find the second derivative of w*c - 20 + 6*c**3 + 20 - 2*c wrt c.\nAnswer: 36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 6, y: 5, j: 2, m: 2, u: 3, x: 1}. What is prob of sequence mvm?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sjjjsjjjjjjjjjjjjjjj. What is prob of picking 3 j?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 2.1, -30, 271, -5?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15123 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (5705\/10)\/(-163)*10\/(-28)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**11\/o*o*o\/o**(-1\/4))\/((o*o**(2\/9)*o)\/o*o**(1\/8)*o) assuming o is positive.\nAnswer: o**(713\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 10 = 3*d. Solve -4*q**3 - q**4 + 4*q + 4 - d + 0 - q**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3 - (136\/(-28))\/(-2). Which is bigger: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 488053425337\/8201 - 59511453. Let y = t - -6\/59. Are y and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 196 - 186. Let q = 35 - 7. Suppose q = j*s - 3*s. Solve -7*p - 2*i + s = -3*p, -5*p = 4*i - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-33))**42\/(r**(-1\/9)*r**(-9)) assuming r is positive.\nAnswer: r**(-12392\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -12*2 - (-3)\/(-1). Let u = c + 115. Let h be (-14)\/(-77) + (-5)\/u. Is 1 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -19.5 + 3.7. Let b = 0.2 - s. Let a = b + -15. What is the nearest to -0.1 in 0.1, 2, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2481009?\nAnswer: 3, 59, 107, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z + 10*h - 62 = 0, -1 = -2*z - 3*h + 4*h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i - 33. Calculate h(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 9868.329ug?\nAnswer: 9868329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -i - 5. Solve 0 = 2*x - i*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 4491*l - 151. Let h(u) = 3*u**2. Determine c(h(s)).\nAnswer: 13473*s**2 - 151","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1010 (base 3) in base 2?\nAnswer: 11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 46.8 + -47. Sort -3\/4, i, -1 in decreasing order.\nAnswer: i, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1813 + 1811.997. Round l to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 26336585 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1349 a factor of 94276726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 948025084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60732*b = -5*i - 60733*b - 31, 2*i = -b - 25 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -6*(sqrt(2) + 0 + sqrt(242)) + -2*(sqrt(4)\/(sqrt(10)\/sqrt(5)))**2.\nAnswer: -72*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2500*g + 120*g - 2*g**3 - 1887*g + 4145*g.\nAnswer: -2*g**3 + 4878*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -26 + 40. Factor -5*u**2 - u**2 + 10 - 15*u**3 + t - 41*u + 101*u.\nAnswer: -3*(u - 2)*(u + 2)*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(4 + sqrt(147)) - (sqrt(147) - (-3 + -3*sqrt(147))))**2 + 1 + 4.\nAnswer: 2128*sqrt(3) + 9774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 2306, 3771, 5236?\n\"Answer: 1465*k + 841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(18)\/sqrt(6))**2 + (sqrt(3) + -1*sqrt(3) + 0)**2 - (3*sqrt(108) + sqrt(3) + (sqrt(36)\/sqrt(6))\/sqrt(2)).\nAnswer: -20*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n + 4*s = -16, 2*n = 4*s - 422 + 448 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 108 smaller than 115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**3 - 4*p**2 + p - 13. Give k(-7).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16 + -11. Suppose 4 = -c + n*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-4)*(14\/(-14))\/(-1))\/(-2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3928?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most as big as -24\/1201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 - -8. Suppose 2*l - 30 = -b*u, u - l + 0 = 6. Let i(a) = 4*a + 2. Let t be i(u). Solve -5*d - t = 2*j - d, 4*j + 5*d = -45 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(1*sqrt(130)*-5*3)\/(sqrt(1440) - -2*1*sqrt(1440)).\nAnswer: 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/(-6)*(-9)\/(-6). Let b be (1 - -1)*s\/2. Round b to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-28)\/(-70))\/((4\/(-4))\/(335\/1608))\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = -0*z + 2*z - 4*f, -4*z - 5*f = 3. Suppose -d - d + 6 = 0. Suppose 0 = z*x - x - d*r - 785, -2*x - 4*r = -778. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -3 + -6 - (2 + 1). Let j be 2\/k + 182\/84. What is the derivative of 55*x**j - 23*x**4 - 55*x**2 + 9*x**4 + 15 wrt x?\nAnswer: -56*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 7\/4  (b) -5  (c) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.86 + -0.860002964. What is m rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**2 - 2*a + 1. Let u be t(1). Let b = 11 - 5. Let c = b - u. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 920 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/((-3)\/(-2)) + 3. Let k(y) = 3116*y - 654365. Let c be k(210). Suppose 3*h - 2*h + 2 = 0, 4*a = 2*h - 4. Put a, 3, c, s in increasing order.\nAnswer: c, a, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c - 7. Let r(z) = -8. Let i(t) = 5*k(t) - 4*r(t). Differentiate i(y) wrt y.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1395769 and 980.847.\nAnswer: -1394788.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -31*s - 23*s + 61*s - s**2. Let a be o(6). Suppose 0 = -2*l + f + 258, 0 = a*f - f. List the prime factors of l.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 6  (b) 0.058  (c) 1  (d) -8  (e) -1.9  (f) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 + 10021000002?\nAnswer: 10021000002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 642694 + -2336494. Round a to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2 + 2 + 19 + -1. Suppose i = 3*i + 4*y - 42, -m = -2*i + y. Calculate the remainder when 24 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 379 a factor of 113767644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.55 times -3.155?\nAnswer: 1.73525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:10 AM and 12:58 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 4*sqrt(3087) + sqrt(63) - (sqrt(2100) + sqrt(2100)*1)\/(sqrt(3) - 4*sqrt(3)*1))**2.\nAnswer: -562*sqrt(7)\/3 + 552736\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 - 1771822?\nAnswer: -1771822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 550 is divided by 276.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/8 of a milligram in micrograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -3*a**3\/2 - 39*a**2\/4 + 24*a - 51\/4 = 0.\nAnswer: -17\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14555826?\nAnswer: 2, 3, 23, 35159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -8 + -2 + 0 + 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 3  (b) -22  (c) -2\/21  (d) 5  (e) 4  (f) -2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 2*w = 14, 2*a - 11*w + 10*w + 8 = 0. Let h be (1\/(-2))\/(a\/20 - 0). Solve 5*r + 22 = 2*n - 3, 15 = -h*r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s = 3*s - 4*t - 9, -t - 5 = 2*s. Let l be (3 - (4 - s))*-12. What is the greatest common factor of l and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (-7 - -1) + (1 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 953949199 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 17 - 12. Suppose -p*j - 3 = n, -2*j + 3*j = 5*n - 11. Let l be n*(-1 + (-6)\/(-3)). Solve -18 = -4*o + 3*v + l, 5*v = -4*o - 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - (-15 + 19 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -103\/157296 and 31\/72.\nAnswer: 471888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/6)\/(69513\/10904)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 16*d + 20. What is r(5)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13213?\nAnswer: 73, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 161671648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1032.9, 1\/365, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lzm when three letters picked without replacement from {m: 8, d: 1, l: 3, t: 1, z: 3, k: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7 - 2 + 2)*(0*v + v + v)*(-10 - 12 + 7) to h + w*v and give w.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 627851, 627852, 627843, 627818, 627771, 627696, 627587, 627438?\nAnswer: 627243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*f**3*o*x**3 - 61*f**3*o*x + f**3*o + 271*f**2*x**3 + 2*f**2 + o*x**3 wrt f.\nAnswer: -24*o*x**3 - 366*o*x + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 127\/3780660 and 29\/7860.\nAnswer: 3780660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3078 and 270?\nAnswer: 15390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/12*-21*(-6)\/(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = 5*g + 2746, 0 = -x + 3*g + 26 - 946. Let u = x - -1324. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*c - 2*c - c + c + c - c + (0 - 5 + 3)*(-4*c + 3*c + 3*c))*(2 - 4 - 1)*(-4 + 27 - 15).\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 31\/5 of a hour?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes before 8:08 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 64875919?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -5 - 3 - 11*v**2 + 1 - 6*v**2 wrt v?\nAnswer: -34*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4 and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1719 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 16 = 106*t - 110*t, 3*u = 5*t + 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -8*z**2 + 9*z. Suppose -97 = 26*l + 449. Let c(g) = g**3 + 21*g**2 - g - 23. Let v be c(l). Let d(s) = -2*s**2 + 2*s. Determine v*u(j) + 9*d(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 116324?\nAnswer: 2, 13, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwezwmwwoo. What is prob of picking 1 z and 1 o?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 69*x**4 - 33*x**4 - x**2 - 41*x**4 - x**3 to p + y*x + d*x**4 + o*x**2 + m*x**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**3 - 10*w**2 - 10*w - 6. Let f = 8 - 3. What is the remainder when f is divided by s(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(1\/4))**(-18) assuming u is positive.\nAnswer: u**(-45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -77.81363 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 9026*c + 306881. What is s(-34)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-55 + 7643*g + 22 - 94228*g + 18 + 15)*(-2 - 1 + 4) to the form r*g + t and give r.\nAnswer: -86585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**3 + 7*d**2 - 3*d - 2. Let b be r(6). Suppose 2*t - 3*h - b = h, -16 = -3*t + 4*h. Suppose t*a = -5*a + 20. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 7, 2\/3, -9\/5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11 + -8. Let i be 3\/((-5)\/((-20)\/3)). Which is smaller: i or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k - 9*k - 48 = 0. Let z(t) = -8*t - 21. Let x be z(k). Solve 3*a - 3*u = 5*a + 2, -x*a = 5*u + 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 149049687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = 5*k + 25 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 234 and 3328.\nAnswer: 29952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*i - 96 = -13*i. Let f be (i\/10)\/((-10)\/(-25)). Suppose -5*v + 2 = -4*v. Solve -v*t + f - 8 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (61 - 125) + 33 + -16?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -33043*h**5 + 173*h**4 + h**2 - 2654644*h wrt h?\nAnswer: -1982580*h**2 + 4152*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*g + 4*g + 1810. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5777\/357 + -113\/7. Do t and -1\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1262, 2538, 3816, 5096, 6378?\nAnswer: 7662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 35 = 8*h + 5*p, -3*h - 4*p + 26 = 0. Solve 6 = -4*w + h*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 3*v. Let a(s) be the second derivative of s**3\/6 - 8*s. What is 7*a(f) - 2*q(f)?\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1512 (base 6) to base 15\nAnswer: -1be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - -1 - ((2 - 6) + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -191 - -115. Let t = 75 + x. What is the closest to -0.1 in -5, 9, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 8 = 7. Let v(p) = p**2 - 3*p + 1. Let j be v(3). Let g be 0\/(1*(0 - j)). Solve 0 = u*q - 5*k + 5, g*k - 2*k + 18 = 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, 69, 2.\nAnswer: -5, 2, 3, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5454\/11 + -98513\/198. Let z = -379223\/20 + 18966. Calculate the common denominator of z and v.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-36)\/(-6)*(-3)\/18. Which is the closest to 4?  (a) -3\/10  (b) 1  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 54841 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 6, n: 1, x: 3, p: 1, w: 1, y: 3}. Give prob of picking 3 y.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*f**3 + 2*f**3 + f**3)*(161256*f - 73880*f - 82011*f) as m*f + n*f**2 + o + q*f**4 + h*f**3 and give q.\nAnswer: 5365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmojmmdakkamjmmma. Give prob of sequence dk.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the third derivative of -x**6\/360 + x**4\/12 - 2*x**3 - 2*x**2. Let i(y) be the first derivative of t(y). What is i(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 14 = 3*l. Suppose 0 = 129*s + 110*s + 848*s - 16305. What is the remainder when s is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -87, 5, -3 in increasing order.\nAnswer: -87, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 + 3 + -5)*-57. Suppose 3*a = -l + o, 63 = a - 3*l - 4. Calculate the remainder when a is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5594 + -5637.955. Let y = 44 + f. What is the nearest to y in 4, 1\/2, -4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + -2*sqrt(128)*6)*4*4*5)**2.\nAnswer: -1228800*sqrt(2) + 117971200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**2 - 3*s + 2. Let c be k(3). Find the first derivative of -5 + 0 + 0 - c*x**3 + 2 wrt x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 45 + -24. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3458 divided by 19.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -139.7 - -144. Let p = -1.2 - -1.14. Let w = p + -0.94. Is g at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 855 and 8865.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/36)\/((-39)\/(-54)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 25*w - 87 - w**3 + 87 as k*w + y*w**2 + q + n*w**3 and give k.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(5\/2)\/(l\/(l\/l**(-1))))\/(l**(-1\/7)\/(l**(-6)\/l)))**41 assuming l is positive.\nAnswer: l**(-1927\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*d + 10*d - 16. Is (1959\/9)\/(4\/144*d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 1, -23, 75, -3 in decreasing order.\nAnswer: 75, 4, 1, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 69055 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: What is the hundred thousands digit of 381959177?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 3370 to the nearest 100.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 101177.4 and 3?\nAnswer: 303532.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1064*p + 904*p = 5440 for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -3*p - 4*p + 2*p. Let d(n) = -1626*n**2 + 941*n**2 + 692*n**2. Calculate d(c(w)).\nAnswer: 175*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20\/(-55)*20\/((-20)\/33)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -2*y - 6. Let h be 4\/3*(-3 + 0). Let j be w(h). Solve -b = j*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6982 divided by 259?\nAnswer: 6982\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n**3 - 4*n**2 - n + 2. Let l be r(-4). Let s = 69 + -39. What is the highest common factor of l and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**2 - 358346*y - 1791755.\nAnswer: (y - 358351)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes after 5:36 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ww when two letters picked without replacement from jjwjwjwwwjjw?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1123*p**3 + 2*p**2 + 139 wrt p.\nAnswer: 6738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8904 divided by -318.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2, -14, -34, -62, -98, -142?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 41*l + 23. Let v be n(0). Which is the closest to v?  (a) 3\/7  (b) 4  (c) -0.1  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -535543 (base 6) in base 2?\nAnswer: -1010110000010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v = -3*q + 57, -3*q - 16 + 437 = 22*q + 3126*v - 3128*v for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-9)*(-825)\/(-55)*(-6)\/10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -313, -334, -369, -418, -481?\n\"Answer: -7*k**2 - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**3 - 14*b**2 + 11*b - 151. Let j be p(14). Sort j, -3, -116 in ascending order.\nAnswer: -116, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-3 + sqrt(13))*2*-5)**2.\nAnswer: -600*sqrt(13) + 2200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5*d**4 - 4*d**3 + 26005*d + 2429534?\nAnswer: 20*d**3 - 12*d**2 + 26005","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -402*t + 334*t + 748 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -3*y**3 + 29*y**2 - 63*y + 20. Let k(u) = 13*u**3 - 116*u**2 + 252*u - 94. Let c(n) = 4*k(n) + 17*x(n). Calculate c(-31).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*c - 13*c + 2208. Calculate the least common multiple of c and 138.\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2262669 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.8 minus 0.027?\nAnswer: 5.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g + 311752 = 311977 for g.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/(63\/(-511))*3. What is the third derivative of -5*k**2 - 10 + 98*k**3 + 2*k**2 - p*k**3 wrt k?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -980 or -981?\nAnswer: -981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s**3\/3 + 7784*s**2\/9 + 52117*s\/3 - 1162 = 0 for s.\nAnswer: -498, -21, 1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2 - (-268)\/(-6))*9\/12*2. Which is the closest to -1?  (a) u  (b) 2  (c) 1.1  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-44)\/(-16)*(-1 + 197)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -8*c**2 + 3*c + 2. Let b(o) = -22*o**2 + 9*o + 5. Let v(k) = 6*b(k) - 17*j(k). Let z(d) = -11*d**2 - 8*d + 11. Give -8*v(m) - 3*z(m).\nAnswer: m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -83 = -4*s - 23. Suppose 5*a - 210 = 2*p, 5*p = 2*p - s. What is the greatest common divisor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -81709 + 1.\nAnswer: -81708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1859 - -3067. What is the least common multiple of 8 and d?\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3300 and 2948.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7792*f**3 + 15331*f - 1.\nAnswer: -46752*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3326607 and 19323?\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i = 15*s - 38*s + 31, -7156*s + 7158*s = 3*i + 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c + 4 = 2*w, -9 = -4*w - 6*c + 3*c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (4 - -1 - 86536\/290)*-3*5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -2 - -1 - 1621\/(-1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:11 AM and 7:41 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11776 + 11781. Put 4, i, 9, -3, -45 in descending order.\nAnswer: 9, i, 4, -3, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -4*z**2 + 35*z + 6. Let v(o) = -7*o**2 + 70*o + 10. Give 5*g(f) - 3*v(f).\nAnswer: f**2 - 35*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 12\/7 - (-4)\/14. Suppose -k*h = -2*u - 6, 2*h - 11 = u - 3. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**2 - d + 1. Let l(p) = -5*p**2 - 4*p + 4. Suppose 2*v = s - 5, -6 + 1 = -v - 2*s. Let q(j) = v*l(j) + 4*m(j). Let u(k) = 16*k. Calculate u(q(z)).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 - -7a91?\nAnswer: 7a90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 78 + -69. Let z(v) = v - 12. Give z(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m - 7 - 9. Suppose m = 2*h - 4*o + o, 0 = -3*h - 2*o + 38. Solve 5*r - h = -0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 277, 281, 285?\n\"Answer: 4*g + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -144 divided by -8278.\nAnswer: 72\/4139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4\/55 + -251\/330. Let h(x) = x - 2. Let s be h(2). Is s < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10 + 15. Suppose -j*w = 3*v + 16, -2*w - 10 = 2*w + v. Let r be 1\/((w\/(-14))\/(4\/7)). Solve 0*i - 5*i + 5*c = -45, -r*c - 16 = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 - 5 - 9 = 3*v, -v - 4 = 2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(114) + sqrt(114) + sqrt(114)*-2*2 - (sqrt(114)*2 + sqrt(114) + sqrt(114) - sqrt(114))*-3)\/(-4*sqrt(486)*-5).\nAnswer: 7*sqrt(19)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 198 = 11*u. What is the tens digit of u*(-4)\/12*6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2.4*-0.025\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-8)\/10*25\/(-10). Suppose -2766 = -q*g + 2*k, g + 4*k - 1656 = -293. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r - 34 - 1. Let k be (-1 - -1)\/(6 - r). Let t = -630.3 + 630. Which is the nearest to -1\/3?  (a) k  (b) -1  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 2*t)*(-6*t + 6*t + t**2).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*x**3 - 13*x**3 + x**3 - 12*x**3.\nAnswer: -26*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 4*s - 5 = 0, -26 - 8 = -4*m - 2*s. Let z be -21*(-8 + m - (-2)\/(-3)). Calculate the greatest common divisor of 14 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 40330, 40238, 40076, 39838, 39518?\nAnswer: 39110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 12*z**2 - 257*z - 157. What is t(22)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -1375208*y**3 + 4763*y**2 - 19052. Let l(c) = 866*c**3 - 3*c**2 + 12. What is 6*g(w) + 9526*l(w)?\nAnswer: -1732*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -188*w - 301*w - 1 - 86*w + 111*w. What is the units digit of b(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 8 - 28 = 0. Let r(u) = -u**3 - 12*u**2 + 3. Let f be r(b). What is the common denominator of 77\/4 and (-56)\/f + 2*-1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**3 - 3*q**2 + 3*q - 2. Let z be (2 + (1 - 5))*-1. Calculate the remainder when -2 + (20 - (z - 4)) is divided by t(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04 less than 2183579?\nAnswer: 2183578.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(-1))\/1*(-111)\/(-148)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is (3 - 4)\/(-5 + (-1576)\/(-316)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = x + 4. Suppose 5*v = -s + 4, -3*s - x*s - 3*v = -108. Calculate the highest common divisor of 168 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/1 - 14\/12. Let u = 11420 + -11420. What is the closest to u in g, -6, -8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**2. Let i(n) = 5*n**2 + 8*n - 1. Calculate i(a) - 6*z(a).\nAnswer: -a**2 + 8*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 146 - 142430?\nAnswer: -142251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-8 - -4 - -10) + (-80570)\/13428. Is z less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.06 and 2.017939038356.\nAnswer: 1.957939038356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*d**3 + 32*d**3 + 34*d**3 - 103*d**3.\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 15 - 4)*(-1 + 1 - 1)*(4 + 0 - 3)*(4*o**4 + 3*o**4 + 4*o**4).\nAnswer: -132*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and 250680538.\nAnswer: -752041614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -20 + 22. Suppose 1 = j*c + 29. Let p(w) = w**3 + 13*w**2 - 15*w + 10. Does 8 divide p(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -35793743 + -0.02217.\nAnswer: -35793743.02217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 67 - 13. Suppose -d = -4*d - i - 12, -4 = d - i. Let x be d\/5*(42\/(-12) - 4). Calculate the greatest common divisor of n and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 324 - 201. Let z = 215 - h. Is 92 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w**5\/2 + 441*w**4\/2 - 1341*w**3\/2 + 1347*w**2\/2 - 225*w = 0 for w.\nAnswer: -150, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7 - 7.2. What is the closest to 1 in -5, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 52894 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*a**3 + 31*a**3 + 180 - 180.\nAnswer: 19*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -560.91 + 559. Let g = 1.90666 + j. Round g to 4 dps.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 158977223 is divided by 1281?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2000 - -111?\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 9) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1116 and 298251?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -3*r - 6. Let d be q(-3). Suppose d*y = 5*w - y - 1994, 2*w + y - 795 = 0. Suppose 4*u = 2*f + w, f + 179 = 2*u + 4*f. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30\/(-1 - (-20)\/12) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-20*r + 4*r + 6*r)*((-5 + 5 - 4)*(0 - 6 + 4) + 15 - 14 - 12) to the form t*r + d and give t.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7 - -3. Let l(c) = c + 1. Let r be l(a). Let v(h) = -9*h - 5. Let z be v(-1). Sort 5, r, z in descending order.\nAnswer: 5, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*l**2 - 398*l**3 + 357*l**3 + 43*l**3.\nAnswer: 2*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**2 + u. Let y(v) = -4*v**2 + 2*v. Let a(z) = 2*p(z) - y(z). Let l be (0 - 6)\/(-2) + -1. Let f(k) = -2 - 3*k + l. Calculate f(a(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h + 460*z - 455*z - 182, 444 = 3*h - 2*z. Solve -40*x = -88 - h for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33373439 is divided by 11124472?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u + 14. Let i be f(-11). Suppose h - 3*s = i*h, 0 = 2*h - s. Suppose h = -2*a + a. Which is bigger: a or -5\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve o + 6*b = -15, 2*o + 3993745*b = 3993749*b - 78 for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -663*y**5 + 2*y**3 - 5*y**2 - 3951*y?\nAnswer: -13260*y**3 + 12*y - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -64 - -140. Let g = p + -74. Suppose -6 = -3*j, g*z = 3*z + 4*j - 528. Round z to the nearest ten.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*a**5 - 5*a**4 - 6*a**4 - 5*a**4 + (-4*a**2 + 2*a**2 - 7*a**2)*(4*a**3 - 4*a**3 - a**3).\nAnswer: 13*a**5 - 16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-4)\/a)\/a*a**(-8)*(a*(a*a*(a\/a**(6\/7)*a*a)\/a*a)\/a*a*a)\/(a*a\/(a*(a**(2\/11)*a)\/a)) assuming a is positive.\nAnswer: a**(-668\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2080940 and 380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 783466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -2*q - 11. Let u(p) = -p - 10. What is 3*n(s) - 4*u(s)?\nAnswer: -2*s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-639)\/(-45) - 3\/15. Suppose -d*h + 267 = -125. Calculate the greatest common divisor of h and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-4) + 30\/(-4). Let t(w) = -w**2 + w. Let r(j) = -j**2 + 10*j + 7. Let o(n) = r(n) - 2*t(n). What are the prime factors of o(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*h + 2*h + 3*h**2 - 2*h + 2*h**3 to s + o*h + u*h**2 + p*h**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.3 - 0.1. Let k = t + -1.2. Let z = -0.4167 + 0.0167. Which is the nearest to k?  (a) 5  (b) -1\/8  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03 plus -960603?\nAnswer: -960602.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - (-2 - 0)) + (-160 - -170) - 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x + 15. Let d be j(11). Let w = d - 4. Suppose 2*h - 24 = -w*h. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 + 3. Let p = -18 + 17.9. Let v = 3 - 8\/3. What is the nearest to 0.1 in v, f, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -126.626, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -4*z**2 + 9*z + 13. What is o(-5)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -594 + 594 + 8*c**3 - 21*c**3.\nAnswer: -13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 686.64342 rounded to zero dps?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9 + -5. Suppose -15 = 5*i, -r = 2*r - z*i - 444. Let q = r - 79. Calculate the greatest common factor of q and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*u + 4*u - u - 8*u + 2*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 156 is divided by 35.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*1*(-5)\/((-75)\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 36 + -143\/4. Let u = 7 - 11. Sort u, 0.4, r.\nAnswer: u, r, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 take away 1.6722?\nAnswer: -0.6722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -70, -134, -192, -238, -266, -270, -244?\n\"Answer: f**3 - 3*f**2 - 62*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 + 0 = -4*t. Let j = 8 - t. Let v = 7 - j. Solve 0 = -2*x + v + 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 20 = -l, -9 - 11 = -5*s. Solve 8 = l*b - 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*x - x + x)*(0*x - 3*x + x)*((4*x - 3*x - 3*x)*(31 + 28 - 13) - x - 2*x + 4*x) to j*x + q + r*x**3 + i*x**2 and give r.\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.4 minus -0.45099?\nAnswer: -1.94901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*g + g = 2*g - 44 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s - 2*s + 0 + 1)*(-3 - 1 - 1)*(5 - 4 - 2).\nAnswer: -10*s + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12 and 84362.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 193 is divided by 61?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252)*-2)**2 - (2 + sqrt(567)).\nAnswer: -9*sqrt(7) + 1006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**3 - 13*o**2 + 13*o - 12. Suppose -2*j - 44 = 9*j. Let f = j + -10. Give h(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.09 - 612402389?\nAnswer: -612402388.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**3 + 18*s**2 + 18*s + 23. Let a be m(19). Solve 7 = a*i + 3*v + 2, -3*v = 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 659006 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/(-1)*(-6)\/84. Which is the nearest to 3?  (a) -1\/2  (b) v  (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.05 - 3.95. Let p = -56.2 - -52. Let z = p - k. What is the third smallest value in z, 4, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*q**3 + 0*q**3 + 19*q**3 - 568 + 568.\nAnswer: 17*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-56)\/(-8)*(-8)\/70\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**2 + 10*g - 257. Let a(d) = -d + 3. Let j be a(4). What is the remainder when 20\/j*(-42)\/35 is divided by s(-22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gx when two letters picked without replacement from {x: 11, g: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/(-6) - (2 - 7)\/30. Suppose 4*u = s, -5*u = 2*t - 4 - 110. Is t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*t - 28*t + 198172 = 6*t. List the prime factors of t.\nAnswer: 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 + (39 - 25 - (4 + 25) - 1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 19*d**2 - d - 15. Let m(c) = -39*c**2 + 2*c + 25. What is -6*m(h) - 10*y(h)?\nAnswer: 44*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:18 PM and 7:20 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 + 10. Suppose 25 = 2*t - 3*m, 4*t - 2*m - 2*m - 40 = 0. Let s(p) = p - 3. Let u be s(t). Solve u - o = -2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 86224591 is divided by 85.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**3 + 14*w**2 - 12*w - 7. Let i(s) = -s + 8. Let g be i(-5). Let j be t(g). Let y(d) = d**3 - 6*d**2 + d - 1. What is y(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s - 13*s - 122 = -18, -5*s - 50 = 5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of (9\/36 - (-33)\/(-4))*3768\/(-48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7976663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/35 + 2\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 937 divide 62304878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11200 (base 3) to base 5.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 + 2 = -2*b. Let j be 1\/4 - b\/4. Suppose 3 + j = 5*g + 5*k, -4*g = -4*k - 28. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37 = -g + 4*j, 19*g + 2*j - 80 = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 784 + -783.99995329. Round g to six dps.\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 810510 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 6*v**2 + 13*v + 7. Let x(j) = 2*j**2 + 4*j + 2. Suppose 0 = b - 2*u, u = -b + 5*b - 7. Calculate b*h(m) - 7*x(m).\nAnswer: -2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 24719909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -2*g**3 + g**2 + g - 2. Let k(d) = -9696*d**3 - 1828*d**2 + 8*d - 10. Let x(w) = -k(w) + 5*u(w). Find the third derivative of x(s) wrt s.\nAnswer: 58116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -300 - -1020?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v - l - 879 = -889, -25*l - 46 = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23992 is divided by 76?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 - 1. Suppose -j*r + 3*f - 6 = 0, -5 = r - 3*f + 3. Let o(s) = 2*s + 1 - 6*s - 2. Let u(z) = z. Give r*o(t) + 3*u(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q + q = 4*q + 16 - 17, 0*d + q - 25 = -4*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*g**3 - 2*g**2 + 6*g + 1386*g**5 - 3 - 1192*g**5 - 2*g**3 wrt g?\nAnswer: 3880*g**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14884783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13 (base 9) to base 16.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 + 1. Suppose -3*w + 0*w = 210. Let k = -72 - w. Which is the second biggest value?  (a) n  (b) k  (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2412 is divided by 2406.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -4\/9, 3, 2\/33, -67 in decreasing order.\nAnswer: 3, 2\/33, -4\/9, -1, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.00031 rounded to 1 dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -28378897\/2 or -14189450?\nAnswer: -14189450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 2*g - 526224, 4*p = -38*g + 43*g - 1315573. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 226.999203 - 227. What is j rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8659 < 8492?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -161*p + 160*p, -2*k - 2*p = 16. Let n be 83\/17 - (-10)\/85. Put n, 1, k in decreasing order.\nAnswer: n, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i**3 - 57*i**2 - 53*i + 263. Let r be z(-56). Sort 0, r, 3 in increasing order.\nAnswer: 0, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13486173 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -66*c*p*u**3 - 1943*c*p*u**2 + 1737*c*p*u - 4*c*u**3 + c*u**2 + 2*c*u - 145*p*u**3 + 216*u**3 wrt u?\nAnswer: -396*c*p - 24*c - 870*p + 1296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 667.1369mm in micrometers?\nAnswer: 667136.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 96a (base 14) to base 4\nAnswer: 131002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u + 2 - 2)*(9 - 19 - 15) + (-u - 3 + 3)*(0 - 2 + 0) + u + 0*u - 3*u.\nAnswer: 25*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 10) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 402.3  (b) 0.23  (c) 5\/2  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 22241 + 42133. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1*6\/(-4)*70. Does 9 divide (-80)\/(-6)*7\/(m\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(10)\/((-2*sqrt(18))\/sqrt(9) + sqrt(2) - sqrt(2) - sqrt(2)) + ((sqrt(80) + sqrt(80)*1)*1)**2.\nAnswer: -sqrt(5)\/3 + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*h + 39 = 2*h. Solve -3*n = 5*t + 10, 4*n - h*n + 6 = -3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 2:01 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 6*s**3 + 139*s**2 + 26*s + 53. Determine t(-23).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**3 - 10*j - 2 - 9 + 2 + 8*j**2. Let n be m(-9). Suppose 2*c + 0*c = n. What is the closest to 1\/4 in c, 2\/15, -0.2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 363*m + 118*m - 264*m + 304*m as h*m + g and give h.\nAnswer: 521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 528 and 8463408?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 4*y = 155, 0*y - 150 = -l + 3*y. Suppose -p + l - 49 = 0. Let f = p - 54. What is the remainder when f is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 16*s**4 - 1612*s**3 - 58740*s**2 + 6393736*s + 1602080 = 0. What is s?\nAnswer: -62, -1\/4, 68, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.13 - 0.07. Let o(k) = k**2 + 7*k + 2. Let t be o(-9). Let y be (-6)\/(-10) + t\/(-50). Which is the smallest value?  (a) -1\/6  (b) n  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 6\/7  (b) 5  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k - 5*x - 7 = 0, x + 4*x = k - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(12\/2))\/((-1)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1672*h - 45 = -1667*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 4*d. Let z be f(-2). Let w(j) = j**3 + 9*j**2 - 14*j + 2. Is w(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*s**3*w**5 - 35*s**3*w**2 - 57*s**3*w - 54882*s*w**5 - 1260*w**2 wrt w.\nAnswer: 480*s**3*w**2 - 3292920*s*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1108247 is divided by 2095.\nAnswer: 2087","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -35 + -167. Let u = 201.88288 + k. Let q = 0.116 + u. What is q rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 2*c = -338 - 52, -5*n = -5*c - 405. Calculate the remainder when 157 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6.4 + -8. Let m = l + 0.9. Which is the third smallest value?  (a) 4  (b) m  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 353812.\nAnswer: 2, 197, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10382 is divided by 190?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56626 is divided by 5659.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the third derivative of o**6\/90 - o**5\/40 - o**4\/8 - o**3 - 3*o**2. Let p(l) be the first derivative of u(l). What is the units digit of p(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 138218042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 9) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**3 + 22*t**2 - 106*t + 12. Suppose -q - 40 = -5*o, 84*o - 2*q = 81*o + 31. Let c be a(o). Solve -2*j + 15 = -c*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6*s**2 - 34*s*u**2 - 2*u**2 - 4113 wrt s.\nAnswer: -12*s - 34*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 3*s**4 - 435*s**3 + 1692*s**2 = 0.\nAnswer: 0, 4, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 5, p: 1, u: 1, d: 4, s: 3}. What is prob of picking 2 l?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - f = 3*o - 1036547, -f = -3*o + 1036526. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.053 + -0.253. What is the biggest value in 14, 3, x?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 677439059?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 4*c + 10450, 2*c - 5523 = -2*r - 1361. Suppose r - 372 = 5*z + 2*b, 3*z + 3*b - 1023 = 0. What are the prime factors of z?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the second derivative of -c**5\/60 + 89*c**4\/36 + 5*c**3 + 54*c + 12. Factor n(p).\nAnswer: -p*(p - 90)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2791665 and 63845?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -108313*a**2 - 16*a**3 + 7*a - 108299*a**2 + 216612*a**2.\nAnswer: -16*a**3 + 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -10*x**3 - 2*x**2 - 3*x - 5. Let k(h) = 5*h**2 + 5 + 7*h - 318*h**3 + 4 + 338*h**3. Let b(r) = -3*k(r) - 5*v(r). What is the units digit of b(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 1838*o - 216889. What is c(118)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pa when two letters picked without replacement from bgbgbpa?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0 + 0 + -11 + 29. Let o be 640\/(c\/(-5) + 4). What is o rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59465 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: What is t in 3*t**2 + 234*t + 231 = 0?\nAnswer: -77, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 234, 3, 5, -38 in descending order.\nAnswer: 234, 5, 3, 1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 3 = -4. Suppose -f = -3*z + p + 11, 3*p - 6 = -5*z. Suppose -5 = -3*b - 17. Put z, -1\/5, b in decreasing order.\nAnswer: z, -1\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1003 a factor of 2155295547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -363 or -381?\nAnswer: -381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 156750 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 8*v**2 + 29*v - 2. Calculate the remainder when 235 is divided by x(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s + 4 - 13 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13908*j + 31577 = 27051*j - 13490*j for j.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**2 + i - 5. Let f be m(0). Let w be (f - -15)*(-1)\/2. Let k = -3 - w. Solve 0 = y - k for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*j**2 - 101*j**2 + 52*j**2.\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 117240 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -13048 - -13468. Solve p = 21*r + 84*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 6, 51, 1.9, -0.2, 104?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1195 - -2649. Let j = 2048 - f. List the prime factors of j.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the first derivative of -f**5\/40 - 2*f**3\/3 + 2. Let x(s) be the third derivative of g(s). What is the tens digit of x(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*o - 24*o = -166*o + 45*o + 1600 for o.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/16)\/(-1)*-5*(-48)\/(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (45\/(-75)*-1)\/(558\/60)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 47630 = -16*r + 17*r, -47634 = -4*h - r. Does 26 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 815239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -563 - -972. Let o = d - 393. Solve 2*s - o = 6*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-38*k**4 - 2321*k + 2321*k)*(-k - 7*k - 2*k + (-7 + 2 + 2)*(-4*k + 5*k + 0*k) + 2*k + 0 + 0).\nAnswer: 418*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -3*s + 2. Let q be (-80)\/s - 7\/(-21). Suppose q = 2*r + r. Solve -6 - r = -5*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2 - 2) + 5\/1. Suppose d*a - 13 = 3*a + 3*n, 9 = a - 2*n. Is a - (0 + 2 + -40) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 56*i**3 + 12*i**2 - 12*i**2.\nAnswer: 56*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the third derivative of s**5\/60 - 7*s**4\/24 - 7*s**3\/3 + s**2 + 1. Calculate q(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 divided by 1.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 46516635 + -45?\nAnswer: 46516560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -0.1, -0.2, 11 in descending order.\nAnswer: 11, 4, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, v: 2, a: 7, i: 3}. Give prob of picking 2 a and 1 v.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 2*b**2 - 7*b. Let t be z(6). Let i be (-3)\/4 + (-7)\/28. Let d = 9 - i. Calculate the highest common factor of d and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - -1) + (64 - 70) + 36 + 47?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2527 and 399.\nAnswer: 7581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 33658?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 + 168a?\nAnswer: 1689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 634725353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n - 0*n - 15. Suppose i + w = -i - 6, 0 = 4*i + n*w + 6. Let q be 3*i\/(-30) + 504\/90. Solve q*y = 3*y - 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.35, -3, -3894?\nAnswer: -3894","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:36 PM and 10:36 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -11095 equal to -11050?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g - 11. Let c(t) = 2*t + 12. Let u(x) = 4*c(x) + 5*q(x). Let d be u(9). Calculate the greatest common divisor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -3*d**2 - 2523115914*d - 530509492956671283 = 0.\nAnswer: -420519319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, -2, 2\/7, -3, -2\/9, -72 in descending order.\nAnswer: 2\/7, 0.2, -2\/9, -2, -3, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 10 = r - 3*r, -3*j - r + 10 = 0. Suppose -j*q = -2*q - 4. What are the prime factors of q\/(-18) + (-202)\/(-18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrrfrrfrr. What is prob of sequence rff?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-10 + 8)*8*(13 + (-153)\/12). Let o(k) = -38*k - 1. Let w be o(-1). Sort 0, -2, w, b in increasing order.\nAnswer: b, -2, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1056 (base 8) to base 14.\nAnswer: 2bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 17*r + 61. Let u(w) = 12*w + 53. Let k(c) = 4*c + 18. Let m(t) = -8*k(t) + 3*u(t). Let p(a) = 9*m(a) - 2*v(a). What is the derivative of p(g) wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1384 + 1390. Let g(r) = 3*r - 6. What is g(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2215332608 - 7.2\nAnswer: -2215332615.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 803*f - 3230. Give s(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 + 1 - ((-93 - -41) + 51)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 6*m = 4*s + 40, 4*m - 5*s = 37. What is the derivative of -m - 55*r + 19*r + 22*r wrt r?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*j**5 + 2*j**5 - 3*j**5)*(0 + 3 - 2) - 2*j + 2*j - j**5 + (2*j + 2 - 2)*(2*j**4 + 5 - 5) - j**5 - 4*j**5 + 4*j**5.\nAnswer: 4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 193828499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.0311 + 0.042189. What is z rounded to 4 decimal places?\nAnswer: 0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -4*b - 38. Let v be a(-10). Solve -v*d = 14 - 4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the second derivative of -w**5\/40 + 101*w**4\/8 - 10201*w**3\/4 + 1030301*w**2\/4 + 94*w. Factor y(k).\nAnswer: -(k - 101)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3090502 is divided by 200.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 5, i: 7, v: 4, a: 3}. What is prob of picking 2 i?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1, -28, -2 in decreasing order.\nAnswer: 2, 1, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1914334 is divided by 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(891) + -4 + -1*sqrt(891))**2 + -1)*5.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -13, -62, -195, -454, -881?\n\"Answer: -7*p**3 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*c*t*u**4 + 32*c*t*u**2 - 2*c*t*u - 8*c*u**4 - 5*c*u**2 + 18*t*u**3 + u**2 wrt u?\nAnswer: -72*c*t*u - 192*c*u + 108*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 15626 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15921 is divided by 152?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(8\/7)*u**(1\/13))\/(u\/(u*u\/(u\/(u\/u**(-1)*u)))*u*u)**30 assuming u is positive.\nAnswer: u**(2841\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 30*v - 21. Let f(g) = 3*g - 2. Let s(t) = -42*f(t) + 4*y(t). Let h be (-2 + 0)*(2 + 0). Let k(u) = -u. Give h*s(m) + 28*k(m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 1 h when three letters picked without replacement from dsdfsijdjssdhdi.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*k = -13*k + u - 18, 2*k = -5*u - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -440\/7 + 63. Let g = -0.73 + 0.23. Which is the closest to 1?  (a) g  (b) -0.2  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2, 31\/3, -5086, -5, -1?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 divided by -34950415?\nAnswer: 8\/34950415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -w**2 + 0*w**2 + 3*w**2 + (3 - 2 - 3)*(0*w**2 + w**2 - 2*w**2) + 3*w**2 - 5*w**2 + 5*w**2.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -21510 rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(17)*2 - sqrt(17))*3)**2 + sqrt(17) - sqrt(17))*-6.\nAnswer: -918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 25747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aplp when four letters picked without replacement from {a: 2, p: 5, l: 4}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.6?  (a) 5  (b) 314  (c) -1  (d) 2  (e) 4\/11  (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 147\/(-70)*(-8)\/1*(-10)\/(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**2 - c. Let q(d) = -10*d**2 - 4*d + 1. Determine 2*m(g) - q(g).\nAnswer: 12*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -25, -4, -5, 1 in increasing order.\nAnswer: -25, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 15*d**3 - 135*d**2 - 170*d + 1522. Give t(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1281452 millennia in decades?\nAnswer: 12.81452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -7  (b) 0  (c) 39\/4093\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r*r\/(r*r**(-3)\/r*r)))**(-5\/2)*r**(-3)*r*r**17*r assuming r is positive.\nAnswer: r**(47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -22*b**2 + 1185*b + 150. What is o(54)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -38*c**3 + 2*c**2 - c. Let h be o(-2). Let w(f) = -f + 9. Let k be w(4). Suppose -k*u - h = -17814. Round u to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -q + 336, 4*q - 5*q = -5*n - 356. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-74905)\/59924*(-8)\/(-870).\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0\/4*(0 - -1). Let d be (-2)\/(-4)*r + -2. Let y = 0.27 - -0.23. Which is the third smallest value?  (a) d  (b) y  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26992 divided by -6.\nAnswer: 13496\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1617, -2026, -2481, -2982, -3529, -4122?\n\"Answer: -23*q**2 - 340*q - 1254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/60 and -187\/3000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.0238, 62, 0, 1, -0.2.\nAnswer: -0.2, -0.0238, 0, 1, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v**(-1\/12)\/v**(2\/13))**(-19))**(22\/7))**49 assuming v is positive.\nAnswer: v**(54131\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 240 = 3*c, 5*l + 240 = 5*c - 2*c. Calculate the lowest common multiple of 8 and 11\/(44\/c) - -2.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -568, 0.1, 2\/7 in descending order.\nAnswer: 2\/7, 0.1, -568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 158*i - 164*i + 1254 = 0. Suppose -10*w - i = -11*w. Does 20 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 10*n - 345. Let t be b(34). Is -64\/15 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -6*i + 70. Let t be w(11). Suppose t*q - 6*g + 5*g = 4755, -4*q + 4764 = -4*g. Calculate the remainder when q is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6447, 6466, 6499, 6552, 6631, 6742?\nAnswer: 6891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -51\/5, 0.1, -0.392569?\nAnswer: -51\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 41516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a - 3*m + 9, a + 1 - 9 = 4*m. Suppose a*s = -3*p, 6*p = s + p. Let k be 2*(2\/(-6))\/(4\/(-12)). Solve -16 = k*t - 4*r, t + s*t - 4*r = -14 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*f**3 + 2 + f**4 + 2*f + 6 - 13*f**3 to b*f**2 + z + c*f**4 + v*f**3 + q*f and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 168 a factor of 360298848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 2 = -w - 3, 9 = -4*y - 5*w. Let q = 3 + y. Suppose 6*t - 24 = q*t. Calculate the lowest common multiple of 3 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1889*r - 1976*r = 0. Solve 8 = -y + 69*d - 66*d, r = 4*y - 4*d + 24 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/3*34*(-16)\/(-68).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10.9 + -3.1. Let o = w + 19. Let y = -3\/89 + 193\/445. Sort y, 4, o in decreasing order.\nAnswer: o, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (43*u**2 + 563*u**3 + 38*u**2 - 81*u**2 + 3729*u**3)*(-4*u + 7*u**2 + 4*u).\nAnswer: 30044*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7965*r = -7878*r + 4437 for r.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 135 and 360.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 925237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -408\/7 + 2227\/28. Let y = m + -19. Factor 0*l + 3\/4*l**5 + 0*l**4 + 3\/2*l**2 + 0 - y*l**3.\nAnswer: 3*l**2*(l - 1)**2*(l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 141 = -2*m - 3*m, 3*f = 4*m + 177. Let i = f - 58. Let w = -20 + 52. Solve -i*s - w + 7 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddmm when four letters picked without replacement from mmdcmmddddmdd.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the third derivative of 0*v + 0 - 3*v**2 - 1\/24*v**4 + 0*v**3. Let m(y) = y. Determine m(b(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 5 = -3*m - 1, -4*q - 4*m = 0. Let j = q + -2. Let d(r) = 2*r**2 + 2*r + 2. Calculate the smallest common multiple of 14 and d(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k*k**(-1\/7)*k\/k**(-3)*(k**(-1\/13)\/k*k)\/k**(-1\/5) assuming k is positive.\nAnswer: k**(2266\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the second derivative of -u**3\/6 + u**2\/2 + u. Suppose -1 = 3*y - 0*g + 5*g, -5*g = 10. Suppose -1 + y = -2*h. Give n(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 e when two letters picked without replacement from goyjjbbeoegj?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 5*m**2 + 11*m + 2. Let b be r(-5). Let c be (-5)\/3*b\/(-20). Calculate the highest common divisor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7638809 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 -4209413453 plus -6460.1?\nAnswer: -4209419913.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-15)\/(-1))\/(((-4)\/(360\/125))\/((-265)\/53))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -261*h - 29. What are the prime factors of o(-9)?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 29\/9  (b) -1\/3  (c) 0.4418\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-6)\/v*v*v**(-3\/13)*((v\/v**(-5\/7)*v)\/v)**(20\/11) assuming v is positive.\nAnswer: v**(-3117\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 - -60. Let u be 12\/t - 50\/(-18). Suppose -5*a - u*w + 1649985 = 0, -a + 660010 = a - 2*w. Round a to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.68488444 rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q = -2*q + 370. Let s = q - 317. Let a = -77 - s. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1, 4, -3 in ascending order.\nAnswer: -3, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 34\/175 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from waar. Give prob of sequence rw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.1565 * -788\nAnswer: 123.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 13 + -6 + 49 + -97?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -121.7758 to the nearest integer.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -2*n. Let y(b) = -8088*b**2. Give d(y(j)).\nAnswer: 16176*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -46388864 divided by 1.\nAnswer: -46388864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3\/170 - -1391\/170. What is the common denominator of -5\/48 and s?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1114671.5012 to the nearest ten.\nAnswer: 1114670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c + 5*o + 5 + 10, -5*o + 5 = c. Suppose 0 = 2*y - 4*g - 368, 4*g = -c - 10. Is 29 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -32960, -32965, -32972, -32981, -32992, -33005?\nAnswer: -33020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 4*j**4 - 18*j**3 + 32*j**2 - 16*j + 2. Let l(n) = -8*n**4 + 35*n**3 - 64*n**2 + 32*n - 5. Let u(w) = -5*a(w) - 2*l(w). Find b, given that u(b) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m - 5 = 3*b, 2*m + 6 = -4*b - 24 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((4*sqrt(272) - sqrt(272)) + -2 + (-4 + 0 + sqrt(17) - -4*(sqrt(17) - sqrt(34)\/sqrt(2)))).\nAnswer: -6 + 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sxsxsx. What is prob of sequence xx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-990)\/297)\/(3\/(-90)). What is the greatest common divisor of r and 7800?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:02 PM and 11:41 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -633*r**3 - 8*r**2 - 8*r + 8. Let q(h) = -422*h**3 - 5*h**2 - 5*h + 5. What is -5*f(s) + 8*q(s)?\nAnswer: -211*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20719?\nAnswer: 20719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 980 a factor of 42427379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 17*o - 4872 = 19*o, 2*o = -2*i + 4868. What are the prime factors of i?\nAnswer: 5, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that w**3\/3 + 103*w**2\/3 + 1042*w\/3 + 920 = 0.\nAnswer: -92, -6, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 0 + 73 + -81.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -100*a**2 - 87*a**2 - 110*a**2 + 393*a**2 - 89*a**2.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1017068?\nAnswer: 2, 13, 19559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 11:08 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 1031 (base 7) to base 8\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -181 in 1\/5, 96, 16?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lhhh when four letters picked without replacement from {l: 4, h: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 959528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 2231*p + 28*p - 743*p in the form a + o*p and give o.\nAnswer: 1516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.087 + 0.287. Let k = 3 - 5. What is the nearest to k in a, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 370 + 0 + (-2)\/(-1). Suppose 0 = 2*p - 4*h - 180, 4*p - i = 4*h + h. What is the greatest common factor of p and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 381900 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(6*(1 + (sqrt(243) + 0 - sqrt(243)) + 4 + 0 + sqrt(243))*1 + 3))**2.\nAnswer: 128304*sqrt(3) + 354132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f = 3*f - 2*d + 1, -5*d = 5*f - 15. Is f at most 3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 47272 and 127199.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2267 - 2267.3125. Round i to 2 decimal places.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j + 6. Let v be r(6). Suppose -l = 5*p - 5*l + 6, -4*p - 8 = -4*l. Suppose v = q - p*q + 20. Calculate the remainder when q is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -52 - 4?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 1 z when three letters picked without replacement from hzhzhzhh.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 24*c - 45 - 27 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 574534 to the power of 1\/2, to the nearest integer?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b + 27. Let v be j(-22). Suppose -2*g = 3*g - v*s - 195, 3*g + 3*s = 141. Suppose 239 = 4*p + g. Is p a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -190 and -15.487?\nAnswer: 2942.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (51060\/8 - -3)*2. What is the second derivative of -30*q**2 + 9*q + 12771 - t wrt q?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes before 12:32 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j + 16*j = 12*j - 63 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1369\/2 + 668. Find the common denominator of j and 31\/162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16569, 27\/8, 3\/2.\nAnswer: -16569, 3\/2, 27\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 85382.66ms to nanoseconds.\nAnswer: 85382660000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 40239 and 459.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -92884 - -92881. Let z(o) = -4*o**2 - 11*o - 3. Let d(p) = -6*p**2 - 16*p - 5. Let t(y) = 5*d(y) - 7*z(y). Calculate t(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 + -6 - (1 - -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2754 = -4*z + 2*f, 0 = -f + 2*f + 1. What are the prime factors of z?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 227401493017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1457960 a multiple of 574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10043975.\nAnswer: 5, 41, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**3 + 5*c**2 - 4*c + 7. Let s be m(-6). Let z(n) = 2*n**2 + n - 1. Let a be z(s). Suppose 2*d - a - 4 = 0. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 20359*m**2*y - 129*m**2 + 4*m*y + 20*m - 1441*y - 4 wrt m?\nAnswer: 40718*y - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-52)\/65 - 46\/(-920))\/((-3)\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -243, -492, -739, -984, -1227?\n\"Answer: m**2 - 252*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-10)\/25 + (-7)\/(-5). Let i = 2 - d. Let o = 376.7 + -377. Which is the third smallest value?  (a) i  (b) o  (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - c - 2)*(-c + c + 2*c) + (37535*c + 3769*c**2 - 37535*c)*(-3 - 1 + 5) in the form v*c + s + z*c**2 and give z.\nAnswer: 3767","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -34, -67, -122, -199, -298, -419, -562?\n\"Answer: -11*j**2 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2824?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) + (sqrt(208)*4 - sqrt(13))**2 - sqrt(13)) + -2 - (3*(sqrt(91)*-2 - sqrt(91)))\/sqrt(7).\nAnswer: 9*sqrt(13) + 2923","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2808 by 52.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1135 - -3?\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -6*j. Let g(m) = 2*m**2 + 2*m - 2. Let d be g(-2). Let f(s) = 2*s + s - d*s - 6*s. What is k(f(v))?\nAnswer: 30*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -115, 279, 1289, 3209, 6333, 10955, 17369, 25869?\n\"Answer: 49*f**3 + 14*f**2 + 9*f - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kjvvkwtgg. What is prob of sequence gk?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -2*y**3 - y + 1. Let q be s(1). Suppose 0 = 3*u + 155 - 23. Let d = 177\/4 + u. Which is the second smallest value?  (a) q  (b) 4\/11  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1286361330 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.4, -0.2, -1, -1\/28?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-8)\/(-4576)*-13*16\/(-2). Let h = 1 - 3. Let p = h - -3. What is the smallest value in p, 2, j, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0 + -4 - 176\/(-55). Let f = -27\/5 + 34\/5. Which is the nearest to f?  (a) -2\/7  (b) x  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -c4 - 0?\nAnswer: -c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (-30 - (8 + -34)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.71, -85, 1 in increasing order.\nAnswer: -85, -0.71, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 98865 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: Which is the closest to 35\/2?  (a) -7814  (b) 0.2  (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence har when three letters picked without replacement from aarrhhhhrrrnrnrss?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 56690629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 4, j: 3}. Give prob of sequence rjr.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -282, -213, -150, -99, -66, -57?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 3*a**2 + 68*a - 27. Suppose 2*z + n = -40, -3*z + 5*n = 119 - 20. Calculate c(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 4*r = 5*d - 12, 3*d - 6 = 0. What is the units digit of 1\/r*-4 - -29?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 1147, 11 in increasing order.\nAnswer: -6, 11, 1147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.48 + 49.48. Let y = p - 45. Let s = -37\/116 + 2\/29. Sort -2\/11, -1, y, s.\nAnswer: -1, s, -2\/11, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -368, -928, -1668, -2570, -3616?\n\"Answer: 3*b**3 - 108*b**2 - 257*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**2 + 11. Suppose 2*y = -2*i + y + 2, -5*i - 10 = -5*y. Is 5 a factor of q(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 85 and 310?\nAnswer: 5270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -3*s + 6 - 6*s**3 + 5*s**2 + 2*s**3 + 2*s**3. Let d(b) = 5*b**3 - 15*b**2 + 10*b - 17. Let k(p) = 3*d(p) + 8*w(p). Is k(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 167 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9815824?\nAnswer: 2, 233, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -679*j. Let m(g) = -2*g - 337986. Determine t(m(y)).\nAnswer: 1358*y + 229492494","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6074254737.\nAnswer: 3, 73, 9245441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 68 and 116.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r = l + 12285 - 12505, r - 64 = 2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i**2 - 4*i**2 - i**2)*(-4*i - 12*i + 8*i) + 3*i**3 - 4*i**3 + 0*i**3 + 17*i**3 + 16*i**3 - 30*i**3 + i**2 - i**2 - i**3.\nAnswer: 17*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 172 is divided by 138.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -5*p**2 - 1. Let z be t(1). Let j be (z\/(-9))\/((-4)\/(-6)). Solve -5 = -4*r - j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m**2 + m**2 + 0*m**2)*((1 - m - 1)*(3 + m - 3) - 17*m**2 + 49*m**2 + 24*m**2 + (3 - 1 - 1)*(m**2 + 2*m - 2*m) - 3*m**2 + m**2 - 2*m**2).\nAnswer: 104*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 2*w + 399 = -195, 313 = k - 3*w. Let n = k + -93. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c**3 + c**2 - 44*c - 4. Let t be a(-7). Suppose -85 = -5*n - t. Solve 4*q = -n - 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14904 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31776 is divided by 24.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -759 times 41\nAnswer: -31119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 - -1. Let w(d) = -d - 7. Let n be w(-9). Solve -n*l + t*c = l - 3, 23 = -4*l - 5*c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 8\/(-2)*152\/32*-2. Suppose 5*z = -5*w + 20, 5*z - t - 9 = 4*w. Solve -z*m - 16 = -3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 35 + -22. What is the greatest common factor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -857 minus 45?\nAnswer: -902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.2 - -0.4. Let r = -29 - -8. Let j be ((-1)\/r)\/((-52)\/(-624)). Put u, -0.3, 2\/3, j in descending order.\nAnswer: 2\/3, j, u, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -23 + 11. Let i = -71 - a. Let v = -30 - i. Calculate the common denominator of 1\/6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -2822, -2875, -2954, -3059, -3190?\n\"Answer: -13*o**2 - 14*o - 2795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -91938*v = -91935*v - 10*a - 41, 2*a = -3*v - 19 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -42 + 187. List the prime factors of p.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 110 = -4*v. Let u = v + -12. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 30, -3, 2, -79, -4 in decreasing order.\nAnswer: 30, 2, 1, -3, -4, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4b5 (base 13) in base 14?\nAnswer: 42c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12123 = 9*f - 12393. Suppose -9*r = -4*r - 120. What is the smallest common multiple of f and r?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 - -7. Suppose -5*z + v*f = -f, 0 = 5*z + 5*f + 40. Sort -1, -5, z in decreasing order.\nAnswer: -1, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*k - 67*k - 1210 = -40 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*a - 6*a**4 - 127*a**2 - 7 - 3*a**3 + 63*a**2 + 63*a**2 to the form h*a**2 + l*a + q*a**3 + z*a**4 + x and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (22\/(-44))\/(18\/12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the first derivative of -5 - 5\/3*x**3 - 5*x + 5*x**2. What is j in d(j) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 + 1 + 0)*(-193 + 96 - 2*x + 99).\nAnswer: 18*x - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from {d: 2, z: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 81020, 162124, 243304, 324560, 405892?\nAnswer: 487300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (36\/(-540))\/(28\/252).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2561, 10249, 23063, 41003, 64069, 92261, 125579?\n\"Answer: 2563*y**2 - y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1539 + 1538.9. What is the nearest to s in 12\/11, -0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 3, s: 2, y: 2, w: 3, t: 1, p: 4}. Give prob of sequence ywww.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 255 + -192. Is h a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7\/6 + -3\/2. Let u = -0.6 - -0.3. Which is the third smallest value?  (a) u  (b) r  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 71825.57 litres?\nAnswer: 71825570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -51524133+-5\nAnswer: -51524138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 5*2*((-35)\/(-2))\/(-7)*2912\/1120\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ciccccciocoicdic. Give prob of picking 1 c and 1 o.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.226 + 69901334\nAnswer: 69901334.226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 111 + 0\/3*-1. Suppose -v + 33 = -2*k. Let q(m) = 2*m**3 - 2*m**2 + 4*m - 3. Let l be q(2). Calculate the greatest common factor of k and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from fffffttffftffff.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 6, a: 2}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -490b2 (base 14) in base 4?\nAnswer: -223211110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 153, 143, 131, 117, 101?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -72, -97, -128, -165, -208, -257?\nAnswer: -312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -41*c - 134. What is the tens digit of q(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23357285883244 plus -2?\nAnswer: -23357285883246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -2 times -6\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 392247058 and 1862.\nAnswer: 1862","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6083479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -34\/5, -0.4, -2\/7, 1, -1\/7, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*d**4 - 5193700*d**3 - 1348731178190*d**2 - 2697446775300*d - 1348720790805.\nAnswer: -5*(d + 1)**2*(d + 519369)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 26929 - 1698. Suppose -78*b = -55*b + i. Round b to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(36)\/(sqrt(6) - -1*sqrt(486)))\/((sqrt(144)\/sqrt(150))\/sqrt(12)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 42\/6*(-19)\/(399\/18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.039 + 0.161. Let d = -2.23 - 0.77. What is the biggest value in 1.8, x, d?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*d**3 - 2655*d**2 - 214310*d + 4386000.\nAnswer: 5*(d - 600)*(d - 17)*(d + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*n - 113204 - 55996. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22733357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**2 + 2*l - 5. Let h be k(-2). Let d(m) = 3*m**2 + 8*m - 17. Is 6 a factor of d(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (-8 - (7 + (0 - 13))) + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 535465 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1176 and 312.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (0*5\/(-20))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6*(-5)\/(-360) + (-45475)\/2244 + 20?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14 + 12. Let x = 14 - d. What is the greatest common divisor of x and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g\/(g**(-6)\/g*g))\/g)\/g)\/(g\/g**7))\/((g\/(g\/(g\/(g**(-12)*g))))\/g**(-1\/3)) assuming g is positive.\nAnswer: g**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*y + 2046 + 1342. Is 44 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 741*f - 3359*f - 45345 + 45343 to the form q*f + i and give q.\nAnswer: -2618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.55, 2\/5, 2\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 49 - 1 - 5*h - 19*h + 31*h - 12*h. Give t(4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 141970*t - 2*s - 49 = 141975*t, 4*t - 56 = 4*s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 228 (base 9) to base 7\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*p - 7*p + 10*p + 18*p)*(-2 - 3*p + 2).\nAnswer: -81*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -1\/3  (b) 2  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 588 and 252?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 653200 rounded to the nearest 10000?\nAnswer: 650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -2*i - 2. Let k be q(-5). Let p(x) be the first derivative of -x**4\/4 + 4*x**3\/3 + 3*x**2 - x + 4. Let b be p(5). Solve b*s = 2*s + k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 490573?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, k: 3, b: 1, j: 2, t: 1, q: 3}. What is prob of sequence kk?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 + 6 = 2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 - 2. Suppose 4*x = -5*d + 84, -3*x - k*d = -x - 48. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 6 + 4)*(-121*d - 69*d + 4*d - 21*d) + d + 0*d + 0*d to the form q*d + h and give q.\nAnswer: -413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 29728757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*r - 3*l + 18, -r + 3*r + 842 - 853 = -l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9079755 divided by 3.\nAnswer: 3026585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 9 + 547*r - 81 + 72 in the form q*r + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 612 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 405535997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8.0608 - 0.0608. Which is the third biggest value?  (a) -7  (b) -3\/16  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*n**5\/3 - 16*n**4\/3 - 10*n**3 + 8*n**2\/3 + 40*n\/3 = 0. What is n?\nAnswer: -5, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the first derivative of p**3\/3 - p - 2. Let b(h) = -3*h**2 - 3*h + 6. Let w(k) = -b(k) - 4*d(k). Factor w(x).\nAnswer: -(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, 297\/49, 9 in descending order.\nAnswer: 9, 297\/49, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of q**3 - 84201*q**2 + 78050 wrt q.\nAnswer: 3*q**2 - 168402*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -18*o - 54. What are the prime factors of g(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 60 divide 16411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -115\/102 and -5\/306.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 5*y = 1212, 2*q - 305 = -y + 287. Let o = q + -213. Let l = -80 + o. What is the remainder when l is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 2*s + 23. Let g(r) = -348*r + 131. What is -g(v) + 6*u(v)?\nAnswer: 360*v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 146 = 4*b - 6*b - 146*m, -126*b + 3*m = -130*b - 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let w = 29397 - 11722. What is the ten thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, j: 4, z: 2, v: 4}. What is prob of picking 2 v?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((j*j\/((j\/j**(-2))\/j)*j*j)\/j**(2\/21))**(-1\/11))**(-20))**(-1\/34) assuming j is positive.\nAnswer: j**(-400\/3927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**3 - 3*o**2 + 3*o + 1. Let j be s(3). Suppose -3*d = -j - 5. Suppose -5*f + d = v, -4*v - 4*f = -0*v - 68. List 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 285 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a = -5*a + 3*o + 19, 0 = o - 4. Let j = -9 - a. Let t = 22 + 22. Calculate the highest common factor of j and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s + 5*w - 2574, -5*s + 2*w + 3195 = -3*w. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-31)\/(-93))\/(-2 - 23\/(-15)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(1458)*-4*3)\/((sqrt(63) + sqrt(63)*-1)\/sqrt(7) - -2*sqrt(9)*-5).\nAnswer: 3 + 54*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is u in -u**4\/10 + 34*u**3 + 513*u**2\/5 + 514*u\/5 + 343\/10 = 0?\nAnswer: -1, 343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1674 - -45454?\nAnswer: 47350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -255656 + 1?\nAnswer: -255655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -595aa (base 11) in base 9?\nAnswer: -140754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 10 = -4*s - 0*y, y - 16 = -5*s. Solve 0 = s*h - 5*z + 17, 0*z + 2*z - 9 = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-9246)\/(-54) - (-10)\/(-45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -11 + -17086?\nAnswer: -17107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -32766 not equal to -32766?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*a = -17*a + 24, -3*a = 5*t - 18. Solve -b - 13 = -3*b - u, -4*u + 12 = t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the first derivative of -s**2\/2 - s + 102. Let g be ((-1)\/(-2))\/((-1)\/(-4)). Let v(w) = -2*w - 4. Calculate g*v(t) - 7*p(t).\nAnswer: 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**3 + 343. Let k be b(0). What is the greatest common divisor of 98 and k?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = 3*r - 101, 2*f - 106 - 22 = -4*r. Let j = 43 - r. Does 11 divide (3*j\/54)\/(1\/66)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 312843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -70135.954 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 25932749?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 18 + -11. Suppose -2*g + r = -11. Suppose h + 5*u + g = 72, -5*u = -5*h + 435. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**3 - 6*f**2 - 3*f + 9. Let i = -3907 - -3913. What is m(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1762.203656 to the nearest 10.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 0.1, -89419, -4\/9 in descending order.\nAnswer: 2, 0.1, -4\/9, -89419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 301*z**3 - 75*z**3 + 959*z**3.\nAnswer: 1185*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 219 and 8833.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, g: 3, x: 1, s: 3, c: 3, z: 2}. Give prob of picking 1 a and 1 c.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhthhtt. What is prob of sequence hth?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -8*d**3 - 3*d**2 - 11*d - 13. Is f(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (140\/(-24))\/5*8\/(-14)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, -0.3, -86, 590.64, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m - 222*l = -218*l - 120, 3*m - 65 = 2*l for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 9*q + 20. Let u = -8 + 6. Determine a(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 383 + 317. What is h rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38300 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26 - (33 + (19 - 22 - 10)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -252*z**2 - 445*z**2 - 348100 - 3545*z + 693*z**2 + 1185*z = 0. What is z?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -15398379*l**3 - 7054007*l**2.\nAnswer: -92390274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/(-1) + -7 + -4 + 19. Suppose -v - 2*h = 2*v - 4, -3*h = -a*v - 6. Solve 2*s + s + 9 = v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 163370867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 519*x**2 - 162*x - 690. What is the tens digit of l(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 - 496403?\nAnswer: -496400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -2*h + 0*h**2 + 5*h**2 - 4*h + 7. Let b be (5 + -1)\/((-2)\/3). Let y(u) = -2*u + 10*u + u**2 + 1 - u - 8*u. Give b*y(q) + w(q).\nAnswer: -q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (9\/12)\/(2\/(-8)). Let w = -10.8 + 12. Let v = -0.2 + w. Which is the nearest to v?  (a) -0.1  (b) -2\/7  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -41 + (-7 - (8 - 19 - -22)) + -5\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.73*0.2\nAnswer: 0.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Do -247878 and -247878 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -l**2 - 9054*l - 189693 = 0.\nAnswer: -9033, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 8443113 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes before 6:39 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -743 divided by -1?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.3253743 to 4 decimal places.\nAnswer: 0.3254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-672)\/(-80))\/(-7) + 17\/10.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -1287 times 0.4\nAnswer: -514.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -362820*q + 363018*q + 470 + 76 - 150 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*p - 20*p - 35*p + 14*p - 1 to the form j*p + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12269 - 12214. Which is the second biggest value?  (a) 0  (b) -2\/19  (c) u  (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -220.9 + 221. Suppose -h - 219 = -z + 71, -864 = -3*z + h. Let j be 2\/(-3) - z\/(-462). Which is the third biggest value?  (a) f  (b) -3  (c) 5  (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 385015\/15 + (-100)\/150?\nAnswer: 25667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6648106.\nAnswer: 2, 3324053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 132329 divided by -729.\nAnswer: -132329\/729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Do -31700 and -31701 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -26*m**2 + 2*m**3 + 18*m**2 - 24*m + 43*m**2 - 64*m**2 to the form u*m**2 + d + q*m**3 + f*m and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -144317*f - 29296349. Determine t(-203).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/3 + (-184)\/(-240). Is -1\/3 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -516, -283, -48, 189, 428, 669?\nAnswer: 912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -z**3 - 323*z**2 - 241*z + 532748 with respect to z.\nAnswer: -3*z**2 - 646*z - 241","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*q + 176 - 236 - 88*q**2 - 206 + 3*q wrt q?\nAnswer: -176*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 198, 4681, 19096, 49125, 100450?\nAnswer: 178753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*p + 6 = 16. Let a = 146\/199 - 155596\/211537. Let k = a - -3203\/7441. Which is smaller: k or p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 102\/119 + 102\/(-70)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16419397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m**3 + 246*m**2 + 747*m = 0. What is m?\nAnswer: -3, 0, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 789267.\nAnswer: 3, 263089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02613621219 to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 68978347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7315 and 275.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 169987 divided by -143.\nAnswer: -169987\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -987\/650 - -20\/13. Which is bigger: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 30.2133 decades?\nAnswer: 3.02133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-83)\/16185*30)\/((4\/286)\/(-2))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36628128?\nAnswer: 2, 3, 89, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-47138)\/10878)\/(364\/36).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 + -3a21?\nAnswer: -3a23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 45 - 43. Suppose -10*a = -c*a - 24. Suppose -h = a*u - 74, h + u + 127 = 3*h. What is the remainder when h is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1502, -5699, -12700, -22511, -35138, -50587, -68864, -89975?\n\"Answer: -d**3 - 1396*d**2 - 2*d - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*u + 41*u - 4*t - 9 = 0, -5*t = -3*u - 9. Let q = 0.1 + -0.2. Which is the nearest to q?  (a) u  (b) -5  (c) -52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3350000 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 1 - c + 11*c + c**2 - 9*c. Let t(h) be the third derivative of 1\/12*h**4 + 1\/3*h**3 - 3*h**2 + 1\/12*h**5 + 0*h + 0. Determine -3*k(w) + t(w).\nAnswer: 2*w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 19, 4, 0 in ascending order.\nAnswer: -5, 0, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -121473 divided by 9.\nAnswer: -13497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 2*b**2 + 775*b + 74353. What is n(-175)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 6, -1, 4, -2, -4, 69 in decreasing order.\nAnswer: 69, 6, 4, -1, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(700) + -4 + -1 + sqrt(700) + 4)**2.\nAnswer: -40*sqrt(7) + 2801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 4, j: 1, e: 1, c: 2}. What is prob of sequence qec?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 11025693755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 20 = 0, 4*w + 0*t + 4*t = 224. Let p = w - 50. Solve f = -1 - p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let p be (-99396)\/(-55) + (-5)\/(100\/(-16)). Calculate the highest common divisor of 113 and p.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes after 5:46 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -33\/1522 or -1?\nAnswer: -33\/1522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 21*m**5 - 15*m**5 + 79*m**5 + (2*m**5 - 3*m + 3*m)*(-10 - 8 + 6).\nAnswer: 61*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**3 - 20*m**2 - 19*m + 10. Let d be q(-19). Solve 7*i = -d*i + 68 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 7*f + 2 = 3*f, -z - 6 = f. Let s(w) = -w. Let v(a) = 3*a. Calculate z*s(i) - 4*v(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 112950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*c - c + 11*c to the form t + h*c and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r - 2. Suppose -5*a = -13 - 2. Suppose 3*y + 25 = -0*f - 4*f, 21 = -a*f - 3*y. What is m(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*w - 15*w + 90 = 0. Is (-4 - -24)*48\/w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4880972?\nAnswer: 2","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: What is next in -511, -513, -515, -517?\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -6*n. Let v(i) = -391*i. Calculate v(m(c)).\nAnswer: 2346*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 * 0.15178\nAnswer: -0.07589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -d*z**4 + d*z**2 + d*z - 2*d + 13*z**4 + 30*z wrt z.\nAnswer: -12*d*z**2 + 2*d + 156*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -51, -111, -175, -243, -315?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3 - -1 - (11 + -7). Let r = -0.2 - 0.3. What is the closest to 1 in -2\/9, d, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 3, a: 8}. Give prob of picking 2 j.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 42157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46665.\nAnswer: 3, 5, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 462609862 - 462609753.9999887. Let w = c + -108. Round w to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -7 + 19. Let i(x) = -62*x**2 + 3*x - 3. Let g(r) = 188*r**2 - 8*r + 8. Let t(k) = n*g(k) - 8*i(k). Let o(l) = 2*l. What is t(o(p))?\nAnswer: -272*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes before 10:05 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 183 + -174. Suppose 4*w = -2*z + 3*w + j, 22 = 5*z + 2*w. Solve -b + 3*b = z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -9*q + 10. Let g(v) be the third derivative of v**4\/4 - 7*v**3\/6 + 2*v**2 - 7. Let z = -306 + 301. Determine z*s(w) - 7*g(w).\nAnswer: 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 22 + -18. Let i = -1 + -5. Let d = i + m. Put d, 1\/11, 2\/11 in decreasing order.\nAnswer: 2\/11, 1\/11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((sqrt(1296)*-2 + sqrt(9))\/(-6*sqrt(12)) - 4*((sqrt(18) - (2*sqrt(648) - sqrt(648))) + sqrt(18))\/sqrt(6)) + 5.\nAnswer: 8 + 215*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 4 = 24. Put h, -3\/4, -4 in decreasing order.\nAnswer: h, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i, 1 c, and 1 p when three letters picked without replacement from {a: 2, p: 3, c: 1, i: 4}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**2 - 6*g + 6. Let k be c(-6). Let v = k + -4. Suppose 3*y = -5*o + 84, 3*y - 16 = -o + v*y. Does 18 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 11*h**3 + 7*h**2 + 8*h - 33. Let m(y) = -y**3 - y**2 - y + 4. Calculate -2*b(q) - 14*m(q).\nAnswer: -8*q**3 - 2*q + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 90 and 216?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -431 - -5?\nAnswer: -422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 11, c: 1, i: 7}. What is prob of picking 3 i and 1 c?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -162, 149, 1012, 2703, 5498, 9673?\n\"Answer: 46*q**3 - 11*q - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 142 + 15. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 17695587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(64) + 1*sqrt(64)))\/(sqrt(8) - (sqrt(8) - sqrt(32)\/sqrt(4)*2)))**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59 = g + 5*b, -6*g + 3*g - 2*b = -125. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -99 + 34. Let d = m - -76. Is -0.1 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 1623 = -3*q, -5*z + 8093 = -15*q + 11*q. Suppose -z = -14*l + 2919. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*s + 5029 = 4159 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16\/(1152\/(-324))*(-40)\/24.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/4 and 43\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 18\/23 in 3, -5, 0.3, 24, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f*f\/f**5)**(-37))**(6\/7))**28 assuming f is positive.\nAnswer: f**2664","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*c**2 + 28450*c - 2454375.\nAnswer: 5*(c - 85)*(c + 5775)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**2 + 9*y - 8. Let s be d(8). Let c = 2 - s. Let b be -14*(2 - (-2 + 5)). Calculate the highest common factor of b and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0665 less than 6672965836?\nAnswer: 6672965836.0665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 212 - 193. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12244 take away 2691438.8?\nAnswer: -2703682.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(1053) - sqrt(1053))*4 + -2 + sqrt(1053) + 0 + -2)**2 - (-3 + 1 + (sqrt(1053) + sqrt(1053)*-2 + -1 + sqrt(1053))**2).\nAnswer: 792*sqrt(13) + 127430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -108*k + 8 - 25*k - 11 + 0*k - 18 to the form n + l*k and give l.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yf when two letters picked without replacement from {y: 5, f: 4, k: 4}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let b = 72 + -67. Suppose 0 = 5*g - b*v - 130, 0 = g - 9*v + 7*v - 23. Let j = 25 - g. Put 3, j, -15, -1 in descending order.\nAnswer: 3, -1, j, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 186 = 60*c - 1734 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1212\/4848*24\/45.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:36 AM and 11:36 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 3*p**4 - 2*p**2 - p. Let a(h) = -11789*h**4 + 32*h**2 + 13*h + 2233. Let b(y) = a(y) + 16*z(y). Find the second derivative of b(u) wrt u.\nAnswer: -140892*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2632.2 + -2632. Suppose -7*z - 3*x = -3*z - 11, 0 = -3*z + 5*x - 28. What is the closest to -2 in -4, z, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (201 - 201 - 3453*i)*(-1 - 9 + 4)*(-2 + 5 - 1)*(-i + 1 - 1) to the form v*i**2 + j*i + a and give v.\nAnswer: -41436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 316800 divided by -21120?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 6, r: 3, f: 3, s: 1}. Give prob of picking 1 d and 1 r.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5764, -5751, -5744, -5743?\nAnswer: -5748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1009407337.\nAnswer: 31, 2503, 13009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -7*n + 3. Let r(b) = 2*b**3 + 23*b**2 + 10*b - 7. Let f be r(-11). Determine s(f).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -8*p**2 + 2*p - 2. Let b = -112 + 115. Let i(d) = 9*d**2 - 3*d + 3. Calculate b*k(m) + 2*i(m).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*w + 4*w - 5*w)*(1 - 2*w - 1) - 5 + 5 - w**2 + (-4*w + 0*w + 5*w)*(0 + 3*w + 0) + w**2 - w**2 - 2*w**2 to d*w + u + j*w**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**2 + 2*k - 5. Let n be g(-4). What is the biggest value in 1\/4, n, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12543049 to the nearest integer?\nAnswer: 3542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1355575411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2, -5, 2, -877, 4 in ascending order.\nAnswer: -877, -5, -2, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 25410959 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3633*o**3 + 441*o**2*r**2 - 53744*o*r - 27*r**2 wrt o?\nAnswer: -21798*o + 882*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-9995340)\/(-3)*-1 - -1. Suppose 86*u + 70222453 = 79*u. Let b = p - u. What is b rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 892.9072mm to nanometers.\nAnswer: 892907200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 299789419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 41819258 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the first derivative of -6 + 0*r + 0*r**2 - 4\/3*r**3. Solve v(y) = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6492103*j**2 + 11312074*j wrt j.\nAnswer: -12984206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15*21.\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k = 4*f - 11, -14*f + 11*f = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 12823289, 12823288, 12823287, 12823286, 12823285?\n\"Answer: -x + 12823290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z + 2*a + 57 = 32, 2*a = -z + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/(3\/(-1 + -2)). Suppose 3*z + 105 = 4*l - 27, -2*l - 150 = s*z. What is z rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the first derivative of 4*r**5\/5 - 4*r**4 + 4*r**3 + 8*r**2 - 16*r - 9. Determine d so that s(d) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 950 and 800?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -27.1 and -0.2.\nAnswer: 5.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 317*v - 291*v + 258 = 76 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -7168*u. Let r(f) = -2469*f. Calculate g(r(h)).\nAnswer: 17697792*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 101?  (a) 0  (b) 3\/4  (c) 0.5  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((12\/(-5))\/(-3))\/(13\/(-65)). Let g = -3626 + 2568. Is (b - 21\/(-6))*g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -17*x - 9. Let k(l) = -18*l - 10. Let b(c) = 5*k(c) - 6*v(c). Let i be b(7). Suppose 0 = 3*p - i - 86. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -j**3 - 58050*j**2 - 255*j + 43 wrt j?\nAnswer: -6*j - 116100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -t**5\/2 - 58*t**4 - 4557*t**3\/2 - 31597*t**2 - 48374*t + 82308 = 0.\nAnswer: -38, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in -2\/3, 4, -191.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 79 + -117. Let t = g - -43. Solve 2*o + 4 = t*d, 4*d - 1 = 4*o - 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40903.\nAnswer: 40903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 5*a + 2. Let s(y) = 5*y + 3. Let t = 3 - 0. Let i(n) = t*s(n) - 4*m(n). Is i(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 8, x: 5, g: 2, m: 2}. Give prob of sequence ege.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 3672 + 23946 = 0. Suppose 5*s = 3 + 7. Suppose i = -s*o - 10594. Round o to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q + 28 = 2*z, 146*q - 142*q - 8 = -3*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 2*m. Let z(x) = 13*x - 18*x + 12*x. Give z(g(r)).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -23*r + 9. Let b be c(4). Let u = b - -42. Let x = u + 45. Solve 5*f = -4*g - 12, -x*g - 14 = 4*f - 3*g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 6\/7, -4\/7, 3\/2, -39, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 2*c**2 - 9*c + 7. Let w be v(7). Suppose -3 = -3*q + 5*s, 0 = 6*q - q + 4*s - w. Let m be (-4)\/6 - q\/(-9). Solve -u + m*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4124420 - -1?\nAnswer: -4124414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*d - 36*d + 21951 = 0. Calculate the remainder when d is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -131\/6744 and -21\/6182.\nAnswer: 74184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -8, -72*w - 34 = -74*w - i. Solve 21 - w = 5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 357 - 48 + 0*r + 5*r + 9*r. List the prime factors of n(-18).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -107, -818, -1985, -3596, -5639, -8102, -10973?\nAnswer: -14240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4 and 29484.\nAnswer: 29484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 506 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-88)\/(-220))\/(12\/(-85)) + 9. Let h be (-51)\/(-10) + 4\/10. Let g = h - j. What is the closest to 0 in -4\/9, -5, g?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -27.261 + 27.261. What is the closest to g in 1, -5, -14.6, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-5 - 27\/(-12)) + 15147\/132. Put -5, -1, -9, r in decreasing order.\nAnswer: r, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 0.6550725km?\nAnswer: 65507.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 18\/5 of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4 - (-95)\/(-25) - (-84)\/(-20). Let v be 3*p\/96 + (-25)\/(-8). Solve 5*m = 4*g - 3, 0*g - v = 4*g - 3*m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -187, -501, -829, -1177, -1551, -1957, -2401, -2889?\n\"Answer: -x**3 - x**2 - 304*x + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 14 - (-45 + 173 + -210)\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -6.1727 and -39722.74334?\nAnswer: 39716.57064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/(-3) + (-98)\/(-6). Let v(w) = -a*w + 17*w + 6*w**2 - 1. What is v(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4482 - 8969 - 514*x + 4487 to g*x + t and give g.\nAnswer: -514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1149300 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**11\/((a*a**14*a)\/a)*a**(-12\/5)\/a*(a*a\/((a\/(a**19\/a*a))\/a*a))\/a assuming a is positive.\nAnswer: a**(58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 31\/((-3348)\/(-24)) - (-40)\/(-1080)*(-606)\/(-38)?\nAnswer: -7\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d + 11. Suppose 5*m + 12 - 42 = 0. Calculate the remainder when 74 is divided by z(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3711, 9798, 15885?\nAnswer: 21972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 21, 5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 602763 and 3941?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t + 1074*v = 1071*v - 39 - 33, 37 + 200 = -15*t - 3*v for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the first derivative of b**4\/4 - 2*b**3\/3 - b**2\/2 + 2*b - 11. Factor x(p).\nAnswer: (p - 2)*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*b + 1414 = -7*b + 2339 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-5 + 3 + 1)*(2*h - h + 0*h) - 7*h + 6*h - 5*h)*(37*h**2 - 34*h**2 - 4*h + 5*h).\nAnswer: -21*h**3 - 7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve f**5 - 1324*f**4\/5 - 11853*f**3 - 124360*f**2 - 24400*f = 0 for f.\nAnswer: -20, -1\/5, 0, 305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 114 - 101 - (-6 - -4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/301 - (-224315)\/(-6235).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.8837333 months to decades.\nAnswer: 0.0156977775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 382*u**3 + 20*u + 2. Let k(s) = 191*s**3 + 10*s + 1. Let l(x) = -3*j(x) + 7*k(x). What is the second derivative of l(d) wrt d?\nAnswer: 1146*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 93 divide 763367715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*n + 0*n - 5*n - 2 - 2*n**3 in the form d*n**3 + w*n**2 + h*n + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 16 = 2*g, -j + 1 = -2*g - 1. Suppose -2 = -k, 4*y + j*k - 214 = k. What is the remainder when y is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14)\/21*(-2)\/(16\/60).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20\/(-50)*(-50)\/40?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kdkzzkzzakkahkzkdz. What is prob of picking 2 d and 1 h?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2 and 256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j - 4*j + 3*j**3 - 2*j**3 + 1. Is b(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 39229?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand g + g**2 - g + ((8*g - 6*g + 7*g)*(2 + 1 - 1) + (2 - 5 + 7)*(g - 2*g + 0*g))*(2 - 2 - 5*g).\nAnswer: -69*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from ukukkkkk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 43 + -37 - ((-663)\/(-219) + 3).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 122 - 122. Suppose 2*w - i = w + 25, 2*w - 30 = -3*i. Solve 11 = z - 3*a, -w = -z - f*a + 5*a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3846 + -1936. Let n = 2004.3 - s. What is n rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 1 g, and 2 x when four letters picked without replacement from {i: 6, g: 1, m: 3, u: 2, x: 5}.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -135*c - 2*c - 82*c - 4256 = 5*c for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the first derivative of 2*k**5\/55 + 3*k**4\/22 + 2*k**3\/11 + k**2\/11 - 7. Factor u(g).\nAnswer: 2*g*(g + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 273*b**5*n**2 - 2*b**5 - 4795*b**2*n**2 wrt b.\nAnswer: 16380*b**2*n**2 - 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/3 of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3937.\nAnswer: 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d + 0*d + d)*(1 - 2 - 2) + (6*d - 3*d - 4*d)*(-1 - 1 + 3) - 16 + 10 + 0 + 2*d.\nAnswer: 4*d - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 12, 2 in decreasing order.\nAnswer: 12, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 185 divided by -4428.\nAnswer: -185\/4428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -71*m + 1640. Let g be y(21). What is the highest common divisor of 6407 and g?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 277088?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 456*s + 454*s = -67042, -5*r - 2*s = -83800. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -14 + 0 + -2 - -15. Sort f, -3, -0.05, -0.57, -2 in decreasing order.\nAnswer: -0.05, -0.57, f, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 68 and 11604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*2*sqrt(15) + sqrt(180)\/sqrt(3))*3)\/((1*sqrt(120))\/(2*sqrt(10)*-1)).\nAnswer: -42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 + 1101112121?\nAnswer: 1101112201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/4, 3, 1\/7, 1, -5\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kksrrrwspskpksssw. Give prob of sequence skr.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 447776 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**3 - 2*q**2 + 3*q + 2. Give f(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 16733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40 = -4*x, -22*q - 58 = -24*q + 5*x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**2 - 2*q + 12. Calculate the remainder when 52 is divided by f(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 3*m**2 + 3*m + 2. Let o be p(4). Suppose o = 3*b - 31. Calculate the remainder when b is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -950 + 950.18. What is the third smallest value in 2\/5, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 512142919, 512142911, 512142889, 512142847, 512142779?\nAnswer: 512142679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 14 - 12. Suppose 4*m - 176 = -2*h, -3*m - a*m = 25. What is the highest common divisor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.4, -0.2994, 13?\nAnswer: -0.2994","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 113015 (base 6) in base 3?\nAnswer: 111100102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -3*j - 3. Suppose -2*t - 8*c + 3*c = 30, -18 = 2*t + 2*c. What is the tens digit of f(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1886227m to nanometers.\nAnswer: 188622700","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 12 = -3*d. What is the units digit of d\/(-9)*27\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hkkoookh. What is prob of picking 2 o and 2 k?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 6901, 6883, 6865, 6847, 6829?\n\"Answer: -18*x + 6919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.17 - 0.17. Sort b, 4, -5 in increasing order.\nAnswer: -5, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z - 5*n + 1, -4*z + 16 = -6*n + 2*n. Let p(l) = 6*l - 3. List the prime factors of p(z).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 255657.3ml to litres.\nAnswer: 255.6573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 52\/5 of a kilometer?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d\/((d**1*d)\/d)))**46)**(3\/11) assuming d is positive.\nAnswer: d**(138\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 33626 and -16791.\nAnswer: -564614166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -155, -151, -145, -137?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.9 - 1.4. Which is the nearest to -1\/6?  (a) p  (b) 0.5  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 5 + 2*g - 4*g - 5.\nAnswer: -2*g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o = 73654 + 39632. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7951072387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/13)\/(-10 - (-896)\/91)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-h + 5 - 3 + 5*h)*(-15819 + 15819 + 1191*h) to the form j*h**2 + o + r*h and give j.\nAnswer: 4764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*d**2 - 5*d**4 + 0*d**2 + (15*d + 75 - 75)*(-13*d**3 - 888 + 888).\nAnswer: -200*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1664 is divided by 84.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 37327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 8141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1195776160.\nAnswer: 2, 5, 1867, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 334325 is divided by 32?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -4*c + 6*i - 157, -5*c - 5*i - 170 = 0. Let f = -32 - c. Let d = 0 + f. Sort d, 2, 0.\nAnswer: 0, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21 is divided by 101\/9 + (-20)\/90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*w = -6*w - 30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*h - 51*h - 55*h - 190*h to d*h + t and give d.\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 67180 - 0.0319946\nAnswer: 67179.9680054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3192 (base 12) in base 13?\nAnswer: 2624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/44928 and -25\/60956?\nAnswer: 684657792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38081 + 32727 = 6437*j - 18969 - 108688 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve h + 41 = 4*a, 13*a - 72 = 4*h + 20*a for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -17 - -30. Let m = h - 13.56. Let d = -1 - m. Round d to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 610 is divided by 130?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**3 + i**2 + 2*i - 3. Let w(s) = -5*s**3 + 6*s**2 + 11*s - 16. Suppose 11*d = -2*c + 10*d - 21, 25 = -2*c + 3*d. Give c*v(l) + 2*w(l).\nAnswer: l**3 + l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1e9 + 461?\nAnswer: 65a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4822 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 150\/105 + 24130\/1778.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 3 e when four letters picked without replacement from {h: 4, t: 2, e: 3, o: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 j, and 1 r when three letters picked without replacement from akajekkkrkaa.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6826730 divided by 13.\nAnswer: -6826730\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -20\/53 + -271\/265. Let o = r - -4\/5. Suppose z - 8 = 5*z, -5*k + 2 = -z. Put o, 2, k, -2\/13 in ascending order.\nAnswer: o, -2\/13, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -43*s + 373. Determine t(16).\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1591 - 132. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 - 1\/5*y**3 + 137\/5*y + 31\/5*y**2 = 0. What is y?\nAnswer: -3, -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**2 + n + 4. Let g be h(0). Let m be 6\/g - 9\/(-6). What are the prime factors of 1\/(4*m\/120)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41360439317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 95*b**2. Let g(d) = d. What is q(g(f))?\nAnswer: 95*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = 4*r + 4, 0 = -b + r + 2. Suppose 3*f - b = 10. Let x(s) = 6*s**3 + s - 1. Let y be x(1). Solve y*m + 4 = 2*m, -3*m - 23 = f*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1*3\/4*8. Let q(w) = w**3 + 6 - x + 2*w + 0*w**3 + 5*w**2. Is q(-3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*b**3 + 2*b + b + b**2 - b as y*b**3 + a*b**2 + n*b + c and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-19840)\/7812 + 16\/(-28))*9\/2\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4086 bigger than -4085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 111 divided by 176079\nAnswer: 37\/58693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 3, -13, 0.1 in descending order.\nAnswer: 3, 0.1, -0.1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7*d + 69*d + 10*d)*(7 + 5 - 1) to the form l + t*d and give t.\nAnswer: 792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n\/(n\/(n**4*n))*n\/(n\/(n*n**(3\/2)*n*n)) assuming n is positive.\nAnswer: n**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11920\/251 + -5\/502. Calculate the common denominator of -169\/126 and z.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cc when two letters picked without replacement from cccqqmcccqccqmcmcc?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 3*a**2\/2 + 57*a = 0.\nAnswer: -38, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**3 - i**2 - 11*i - 3. Let o be d(4). Let z be (-26)\/(-104) + o + 1\/(-4). Solve -10 = -2*g + m, -z + 2 = 3*g + 2*m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 2*t = -0*p + 7, -5*p = -5*t - 20. Suppose -p*q - 4 = -3*q. Is 25 a factor of 15*-5*2\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*u**4 + 7*u**4 + 29*u**5 + (-2*u - 2*u**2 + 2*u)*(0*u**3 - 2*u**3 + u**3) - 2*u**5 - 2*u**5 + 6*u**5.\nAnswer: 33*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1989 = -12*g - 71*g + 1082 for g.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*(-2)\/((-2)\/(2\/(-1)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1233490000 rounded to the nearest 1000000?\nAnswer: 1233000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 686\/132*7 + -2. Let t be ((-8)\/66)\/((-2)\/(-35)). Let y = k - t. Calculate the common denominator of 10\/9 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -48a739 (base 15) to base 5\nAnswer: -1342243004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 14  (b) 2  (c) 3  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (5*(sqrt(48) + -4)**2 - sqrt(30)\/(sqrt(90)\/(2*sqrt(9)))).\nAnswer: -162*sqrt(3) + 322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 2*j**2. Let a(p) be the third derivative of p**5\/20 - 36*p**2. Give a(k(q)).\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 19171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 3*a**2 - 3*a + 2. Let r = 16 - 0. Suppose -4*y - 4*y = -r. Determine l(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23892*a - 3*a**3 - 23885*a - 23891*a - 5*a**3 + 71667*a.\nAnswer: -8*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2 - 6\/(-3))\/2. Let t = 8.4 + -8. Let c = -0.1 - -0.1. What is the closest to n in 1\/3, c, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 23\/44, 3, 1.91, -2.\nAnswer: -2, 0, 23\/44, 1.91, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 7*n - 11 + n**2 - 3*n + 4. Let j be t(-6). Factor -5*g**5 - 5*g**5 + 4*g**j + 3*g**5 + 9*g**4 - 9*g**3 + 3*g**2.\nAnswer: -3*g**2*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u. Let v = -8 - -13. Let x(z) = z**2 + 5*z + 5. Let t(q) = q**2 + q + 1. Let c(y) = v*t(y) - x(y). What is c(k(j))?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 70928261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r + 20. Give m(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**2 + 7*y - 7. Suppose -b - 4 = -2*f - 1, -5*b + 41 = 4*f. Let u be l(b). What is the units digit of ((-4)\/u)\/(6\/(-27))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -55*h*s + 152*h + 1 wrt s?\nAnswer: -55*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 2 h when three letters picked without replacement from hhqiqhhqihhhohqq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 2*k + 7 + 27*k**3 - 2 - 6*k**2 - 29*k**3 + 3*k. Let l(s) = -s**3 - s**2 + s + 1. Determine -5*l(h) + z(h).\nAnswer: 3*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 + 1. Let j be (-16)\/66*(-174)\/116. What is the nearest to -1\/3 in u, j, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-24)\/(-14)*(-5)\/15.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 59 + -24. Suppose -4*b + n = m, b - 270 = -6*m + m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3 - 2.7. Let d = -0.05 - 0.25. Let i = d + 0.4. Is a at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = d. Sort 5, 1, d.\nAnswer: d, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16010 is divided by 334.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 91*h**3 + 97*h**3 + 97*h**3 + 90*h**3 - 373*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11\/((-11)\/(-3)) + 28?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 447*(-2 + (-14)\/(-6)). Suppose 4*h + 574 + 1340 = 3*y, -4*h = y - 638. Suppose y = w + m. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.0554947*0.1734\nAnswer: 0.00962278098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 11*y + 1. Let u(g) = 9*g. Determine u(w(j)).\nAnswer: 99*j + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 200222021002 (base 3) to base 15\nAnswer: 759ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 209023.8727 rounded to the nearest 1000?\nAnswer: 209000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8340448 or -2\/7?\nAnswer: -8340448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 495933.\nAnswer: 3, 165311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 180513 is divided by 4602.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**3 + 4*h**2 - 2*h - 2. Let v(o) = 3*o**2 + 57*o - 56. Let i be v(-20). Let d(r) = -r**3 - r**2 + 1. Calculate i*d(x) + s(x).\nAnswer: -5*x**3 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 18*b**2 + 10*b + 104. Calculate the lowest common multiple of p(-4) and 4.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 183203462*z**4 + 3*z**2 - 12121340*z?\nAnswer: 4396883088*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*c + 4*p - 45, 5*c - 45 = -0*p + 2*p. Suppose -224 = -c*i + 1. What is the remainder when 93 is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 39.9 + -40. Let p = 8.4 - 8. Which is the nearest to 4\/3?  (a) p  (b) 1\/4  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s - 5*n - 20, 4*s - 32 = 5*n - 2. Solve -3*r + 7*r + 2 = -s*b, -5*b + 25 = -5*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1420.589 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -276*y**5 + 34*y**4 + 3*y**3 - 361488*y**2.\nAnswer: -16560*y**2 + 816*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 82 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 48 = 7*z. Let h be z\/(-21)*(-111)\/(-90). Let y = h + 4\/7. What is the smallest value in 3\/4, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q + 0*q - 3*q)*(-3 + 3 + q) - 2 + 2*q**2 + 2 + 74094*q - 140*q**2 - 1 - 37044*q - 37045*q.\nAnswer: -139*q**2 + 5*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 13 = u, 0 = -2*p + 5 - 15. Let y(t) = 19*t - 6. Let b be y(4). Suppose -13*k + u*k = b. Calculate the smallest common multiple of 30 and k.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r - 14*f - 17 = 0, 16 = -7*f - 7*f + 19*f - 2*f + 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 4000*x - 23957. Calculate r(6).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(2\/13)\/(r*r*r\/((r**4\/r)\/r*r*r)*r*r)*(r\/r**(-2\/9))**(-4\/11) assuming r is positive.\nAnswer: r**(-151\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-25)\/20 + 3\/(-4) + 1. Let u = -1 + 0.6. What is the closest to v in 4, u, -1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 11*y**4\/3 + 97*y**3\/3 + 16*y**2 - 188*y\/3 + 32\/3 = 0.\nAnswer: -8, -2, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 31029908 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -147034.92 less than 1896302?\nAnswer: 2043336.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -245*f + 422. Is z(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 3*a**2 - 8*a + 8. Determine c(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 70104453?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 21*r**4\/2 + 3069*r**3 + 410517*r**2\/2 - 582630*r - 183150 = 0. What is r?\nAnswer: -185, -110, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*n - 2401 - 305 = 283*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 269 + 46 = 7*s. Find the third derivative of -14*d**3 + s*d**3 + 153*d**2 - 53*d**5 - 25*d**3 - 7*d**3 wrt d.\nAnswer: -3180*d**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/15  (b) -5  (c) -0.4  (d) -2\/7  (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*d**3 + 6*d**2 - 13*d**3 - d - 23*d**2 to the form m*d**3 + g*d**2 + k + b*d and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*o - 3*k + 52 = 14*o, -3*o = 5*k - 39. Solve m + o*m = -42 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*w**3 + 11833 + 29*w**3 - 3567.\nAnswer: w**3 + 8266","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 13) to base 15\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f**3 - 17*f**2 + 17*f - 15. Let g be a(16). Suppose -6*y = -y - 15. Solve y*k - 5 = g for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, o: 4, s: 3}. What is prob of sequence xoo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10 + 10. Suppose -3*d = d - 2*b - 50, y = b + 3. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the first derivative of -29\/2*x**2 + 0*x - 38. What is o(-1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/9)\/(-4*(-69)\/(-72))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 225*p**2 - 78*p.\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 108 a factor of 8745840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -42*f + 88 - 17*f - 144*f**2 + 59*f wrt f.\nAnswer: -288*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(1\/8)*x*x*x**0)\/(x**(-5)\/(x*x\/x**(-2\/3))) assuming x is positive.\nAnswer: x**(259\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 951743.6 nanograms in kilograms?\nAnswer: 0.0000009517436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5\/25 - (-3)\/(-15). Find the third derivative of -14*d**2 + 7*d**2 + r*d**6 - 9*d**6 wrt d.\nAnswer: -1080*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 815 is divided by 94.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the second derivative of u**4\/24 - 21*u**3\/4 - 65*u**2\/2 + 1534*u. Factor l(r).\nAnswer: (r - 65)*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**2 - 21*w + 32. Suppose 101*n + 6026 = -40*n - 121*n. Give h(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 112445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53 is divided by (4 + (-1)\/2)*(-120)\/(-21)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -63 + 68. Suppose -d*o + 17 = -23. Is o at most 31\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(204)*3)\/((sqrt(243)*-2)\/sqrt(9))*6.\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, i: 3, u: 4, p: 5}. Give prob of picking 3 u and 1 k.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*l + 7*l - 836 + 682 = 0 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:15 PM and 3:13 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 360*u - 12273927 + 12178310 = 45104183. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/3*(-10 + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4\/71 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -10\/9 in -0.2, -29, 109, -28?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 2*c**2 + 38*c - 126. Let z be w(3). Let l(r) = -r**3 - 5*r**2 + 4*r + 4. Let d be l(-4). Let p be ((-2)\/z)\/(d\/9 + 3). Sort p, -1, -4, 8.\nAnswer: -4, -1, p, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 5  (b) 161\/12  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 2 - 3)*(-163 + 82 + 83 - 28*h**2) in the form p*h + s + q*h**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.062 + 0.278. Let l = t - 4.224. Let f = 0.9 + l. What is f rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (-964)\/(-108) - (172 - 184).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 divided by 1145494.\nAnswer: 3\/572747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (-1 + -3 + 3 + 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 434 + -466.1. Let j = -32 - k. Suppose -2*b - 2*b + 20 = 0. Sort b, j, 1\/2.\nAnswer: j, 1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - -10 - (7 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes before 3:30 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -266501 - 154432. Let i = -16556601\/118 - z. Find the common denominator of i and -3\/8.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 19550 by 170.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**3 + 3*p**2 + p + 3. Let n be q(3). What is the units digit of ((-4)\/6)\/(n\/(-243))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vddddsddvdsvdvvd. What is prob of sequence vs?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(931)*1 + 0 + (sqrt(95)\/(-2*sqrt(5)) - (sqrt(190) - -2*sqrt(190))\/sqrt(10))**2 + -4.\nAnswer: 7*sqrt(19) + 903\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -27566.277 rounded to the nearest ten?\nAnswer: -27570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 327033451?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1301 + -10?\nAnswer: -1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 106020 and 100130?\nAnswer: 1802340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 234782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2411 + -5?\nAnswer: -2420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.49 - -3.49. Let f be 20\/39 + (-20)\/30. What is the closest to l in f, -0.4, 6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000004300117 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 454962.\nAnswer: 2, 3, 191, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 3*q = 12. Let a = 3 - q. Suppose -3*h + a = -48. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 127*y - 116*y = 44 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9\/32, 7, -4, -0.32, 5, 0.4.\nAnswer: -4, -0.32, 9\/32, 0.4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d - 3. Let u be v(6). Let g(x) = -2*x**2 - 6*x - 2. Let y(l) = -3*l**2 - 11*l - 3. Let z(q) = u*y(q) - 5*g(q). Give z(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7211281 micrograms in grams?\nAnswer: 0.0000007211281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11662 and 2814?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((-675)\/(-630))\/((-258)\/172)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -710 and -25.\nAnswer: 17750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 - 5. Let k(y) = -7*y - 2. Let j(i) = -8*i - 3. Let t(x) = f*k(x) + 6*j(x). What is t(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = y + 1, 5*y + 16 = 2*h. What is the highest common factor of 52 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20647 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4 + 16)\/4 - 3. Suppose 2*s - 7*s - 90 = d. Let a be 2\/6 - 102\/s. Solve y - a = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-38)\/(-475)*(-5)\/(-4)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 46*v**2 + 4*v - 23*v**2 - 5 - 21*v**2 + (-4*v - v + 3*v)*(-2 - v + 2).\nAnswer: 4*v**2 + 4*v - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 4409631908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 88 + 3*z**4 + 2905 + z + 1093 as r*z**3 + c*z + y + o*z**2 + f*z**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i - 4. Let v(z) = -z**2 - 3*z + 6. Let g be v(-4). Suppose 3*m = 2*t - g, 5*t = 4*m + 6 + 6. Let j be 0\/((m + -1)*-1). What is b(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 3*w**2 + 1. Let d be s(1). Let v(x) = x**3 + 4*x**2 - 7*x - 5. Let n be v(-5). Differentiate 0 - d - c**3 + 3 + n with respect to c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -96*t**3 + 17*t**5 + 96*t**3 + (0*t + 6*t - 4*t)*(t**4 - 3*t**3 + 3*t**3).\nAnswer: 19*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -4*r + 3*r. Let j = -31521.3 - -31521. Which is the nearest to -0.1?  (a) 2  (b) j  (c) r  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -354, -686, -1018, -1350?\n\"Answer: -332*b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1034, 1035, 1036, 1037, 1038, 1039?\nAnswer: 1040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(-12) + 2771\/3468. Let g = 2\/17 + h. Sort 3, 6.9, g in decreasing order.\nAnswer: 6.9, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -30366 and 93846762.\nAnswer: 93816396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -358*o + 78*o - 5600 = 0 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s**(1\/3)*s)\/s)**(13\/2)*s**4*s\/s**(-5))\/((s*s**(-2\/5)*s)\/(s\/s**(-7)))**(-2\/7) assuming s is positive.\nAnswer: s**(1768\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = -7*k - 3. Is k greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 50027703 and 36383784.\nAnswer: 400221624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1668 to two decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03372 rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -127\/8796 and 46\/11.\nAnswer: 96756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -68820 by 1110.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 114 and 570?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11932 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6c832 (base 15) to base 12.\nAnswer: -148355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(7) + sqrt(28)\/sqrt(4)*6 + sqrt(7).\nAnswer: 3 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2 + (-15 - -14) - -13. Solve 5*v - h = -19, -5*u + 8 = 2*v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**3 - 5*s**2 + 5. Suppose 2*a = -0*a + 180. Suppose 5*b + a = 5*x, 9*x - 4*b = 4*x + 85. Let c = -8 + x. Calculate h(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -47*j + 44 + 285. Suppose -98 = j*g - 308. Let s = -21 - -78. Calculate the remainder when s is divided by g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(4719)*-1*5 - (sqrt(4719) + 1*sqrt(4719))*4)\/((sqrt(75)*1 + sqrt(3) - (1*sqrt(192) + sqrt(192)))*-1).\nAnswer: -143*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1158, 4765, 10970, 19917, 31750?\nAnswer: 46613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*v - 7*l + 2*l + 10, -v - 5*l = -4. Let k(w) = w**3 + 10*w**2 - 12*w - 9. Let n be k(-11). Let b(a) = -a**2 - n*a - 5 - 1 + 5. Give b(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1264795084.924 minus 0.3?\nAnswer: 1264795084.624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-56)\/10)\/((-1232)\/(-245) - 5). Let f = l - -208. Calculate the greatest common factor of f and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17880 = -4*c - c. Let a = c + -32251\/9. Calculate the common denominator of a and -109\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 426815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 709 minutes before 5:04 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -23625696 and -1.8?\nAnswer: 42526252.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -22626\/4585 greater than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 11*b - 6. Suppose j + 3*y = 4, -5*j + 20 = 7*y - 2*y. What is the tens digit of h(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -j + 4. Let r = 13 + j. What is the remainder when 40 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z - 12 = -0*z, 2*a + 2 = -z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -230 - -20ea?\nAnswer: 1eba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10439 - -104273\/10. Suppose -5*o = 4*x - 311 - 3051, -2*o = 5*x - 1355. Find the common denominator of l and (-2)\/(-40)*1*o\/4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 861 - 2509. Let t = -19885\/12 - r. What is the common denominator of t and 607\/(-90) + (-8)\/40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 434\/15, -9, 4, 3.45?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is (11\/(165\/(-255)))\/((-2)\/2762) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -28 - -38. Calculate the remainder when s is divided by (1 - (2 + -4)) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 61\/((-1220)\/(-400)) - 31?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.2, 0, 0.358, -2\/3, 0.054?\nAnswer: 0.358","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00164 rounded to four decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 27*d**2 + 1. Let n(u) = 20*u**2 + 6*u**2 - 3 + 4. Let t(p) = 3*n(p) - 2*v(p). What is the remainder when 97 is divided by t(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 74311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:04 AM and 4:43 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ss when two letters picked without replacement from wwwabbasbwsawws?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -21 - 7. Let k be (-6)\/(-28) - (-7)\/u. Let y be (-5)\/(-10) - (-2)\/(-4). Which is the nearest to y?  (a) -0.4  (b) -2  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3 + 52\/(-18))*27\/3. Suppose -7*p - z = -4*p - 4*o, -4*p + 5*o - 3 = 0. Let n(h) = h + 15. Determine n(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16816380 to the power of 1\/3, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 7 - (-26 + (-17 - (-5 + -30)))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*z**3 + z**3 - 9*z**3 - 2*z**3 + 2*z**2 - 2*z**2 + (2*z**3 - 4*z**2 + 4*z**2)*(-7 + 3 + 3).\nAnswer: -17*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y = 4*u + 16, 0 = 653*u - 648*u + 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -5*v + 4. Let j be i(0). Suppose 28 + 25 = h. Let k be (-5)\/(-10)*j\/h. Are k and 2\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/15 in 0.1, 3\/10, 0.6, 3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 126 and 4415208?\nAnswer: 13245624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**3 + 2. Let l(t) = -18*t**3 - 15. Calculate -l(r) - 7*y(r).\nAnswer: 11*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the second derivative of -m**5\/20 + m**4\/3 + m**3\/2 + 3*m**2\/2 - 2*m. Let l be i(5). Let w = l + 10. Solve 3 = -w*y + 4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 35 - 35. What is the closest to -1\/2 in 1\/3, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange p**2 + 2*p**2 + 0 - 1 + (3*p + 8 - 8)*(47*p + 1036 - 1036) to the form y*p + n*p**2 + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 808538.74 * -5.\nAnswer: -4042693.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(99))*-5 + -3.\nAnswer: -15*sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1024 - 413?\nAnswer: -1442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0 - 13070156653.72\nAnswer: -13070156653.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 139836 is divided by 139649.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 3*g**2 - 18*g - 18. Let o be a(7). What is the greatest common factor of 96 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-147)\/63)\/((-2)\/6). Calculate the common denominator of (z\/(-147))\/((-4)\/(-198)) and ((-1)\/9)\/(28\/1050).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1051155 (base 6) in base 13?\nAnswer: 1b416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2225, 9974, 22907, 41030, 64349, 92870, 126599?\nAnswer: 165542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -8*b + 197. Let i be d(27). Let a = 16 + -39. Which is bigger: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15447001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 + 3 + 4)*(377*w**2 + 713*w - 569 + 573 - 711*w) as p*w + b*w**2 + k and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5629 is divided by 352.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes before 12:17 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x - 4. Let p be -4*1\/(-4)*4. Let s be l(p). Let w = -8 + 11. Solve s*v = w*v - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 86 - 79 - (5 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -996 - -1002. What is the nearest to -0.2 in g, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the second derivative of -67*n**7\/42 + 5*n**3\/3 + n**2 - n + 7. What is the second derivative of b(o) wrt o?\nAnswer: -1340*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -35 + 55. Let z be 7\/(175\/10)*d. Suppose -2*k = 5*w - 10*w + 10, 3*k + 4*w - z = 0. Solve -t - 13 = -k*t + 4*b, -2*b + 1 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5547, 5534, 5507, 5460, 5387?\nAnswer: 5282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 + 1. Suppose -1 = g*o - 5. Suppose -2*t = -30 - o. Solve n + 3*n = t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1144 or 1146?\nAnswer: 1144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 4*c = 32, -3*u + 5*c - 10 = 24. Let y = u - -9. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.06 take away -6.72?\nAnswer: 8.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 5*q**2 + 6*q + 8. Let s(j) = -j**2 - j - 1. What is i(r) + 6*s(r)?\nAnswer: -r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(175))**2 + -3 - (sqrt(56) - sqrt(392)\/sqrt(28))\/sqrt(8).\nAnswer: -sqrt(7)\/2 + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 105 - 101. Suppose -336 = -3*t + 3*b, v*b + 226 = 4*t - 2*t. Calculate the remainder when t is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -31004*c - 278945. Give n(-9).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 56 and 74323116?\nAnswer: 148646232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -2*b - 6 + 8 + 5 + b. Calculate j(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/5321884 and -65\/96.\nAnswer: 127725216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 5*t = 43, 40 = 5*h - t - 149. What is the common denominator of ((-43)\/140)\/(h\/(-228)) and 49\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5402109 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x - 1. Let z(u) = -3*u. Let c(v) = 4*q(v) - 2*z(v). Let n(i) = 13*i + 4. Let y be n(1). Let b = 21 - y. Determine c(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3 + 5 - -4 - 1)\/1. Solve 2*o + o = 3*r + 21, 0 = a*r + 4*o - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-three sixths of a millennium in months?\nAnswer: 46000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (12\/21)\/(12\/14). Let v = 1 + 0. Let g = -0.1 - 0.1. What is the nearest to 1 in g, i, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 1 = -5*y - 2, 0 = -3*y. Let p = -0.36 - 0.14. Let q be -1*(2\/3)\/(7 + (-81)\/9). What is the second biggest value in -1\/3, q, p, b?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5825\/21 at least 1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**4)**(-48)\/((r*r*r**(2\/7)*r)\/r)**(-5\/2))**(-2\/81) assuming r is positive.\nAnswer: r**(2608\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvwwued. Give prob of picking 1 w, 1 u, and 1 v.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*q + q - 3*q)*(-57*q + 57*q + 17*q**2).\nAnswer: 51*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*f**2 + 5*f**2 - 44*f**3 - 82*f**3.\nAnswer: -126*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11244 + 18079. Calculate the remainder when v is divided by 263.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 39 + 3. What is the hundreds digit of (-4)\/14 - (-7740)\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 970 + 396 = 0. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 172089?\nAnswer: 3, 19121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**2 - 3*x. Let b(v) = -2*v**2 - 5*v + 7. Let k(c) = c**2 + 3*c - 4. Let y(z) = 4*b(z) + 7*k(z). What is -l(n) - 3*y(n)?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1127032 divided by -5.\nAnswer: -1127032\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 4, -4*n - 5*z + 28 = -1. Let u be (-1 - (-10)\/n)*6. What are the prime factors of (2 + 22)*2\/u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -5*l + 95, -2 = 2*j - 12. Let y be (-2 - -8)*(l\/(-12) + 4). Suppose 124 = 2*i - 4. Calculate the highest common factor of i and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-8) - (-17)\/(-100). Let l be ((-4)\/12*0)\/(-2). Which is greater: h or l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = q + 4*g - 31, 61 + 88 = -q + 29*g for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 2*x**3 - 113*x**2 - 55*x - 111. Let c be a(57). Suppose 3*r + r - 2916 = 0. Let o(l) = -729 + c*l + r. Determine o(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x + 5 - 25 = 4*p, -2*x = -2*p - 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(1300) - (2 + sqrt(1300)) - sqrt(1300)).\nAnswer: -30*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:26 PM and 7:50 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1867792046.\nAnswer: 2, 25453, 36691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/2*16\/40. Let w = -12 - -22. Let m = 7 - w. What is the biggest value in v, -4, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times 0.0679077\nAnswer: 0.00679077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -142*w - 6*w + 25*w - 64*w as g + o*w and give o.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 812314079.\nAnswer: 293, 389, 7127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 29\/2 of a tonne?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -71a - 2935?\nAnswer: -3251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 1  (b) 2\/5  (c) -0.5  (d) 4  (e) 274\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 85*s - 136. Calculate m(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w + 2*w - 2*w)*(-w - 2 + 3 + 0).\nAnswer: -3*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i - p - 5, -3*i - 7*p - 17 = -2*p. List the prime factors of (-8)\/12*i*-351.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**2\/2 - 1213*v\/2 - 84240.\nAnswer: -(v + 160)*(v + 1053)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4131 and 306?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-11 - (-40 - -45 - -1)) + -92\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = 118*i - 114*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4154 = 17*l - 703. Let j = -198 - l. Let q(k) = 10*k**3 + 4*k**2 + 4*k + 4. Let n(p) = 11*p**3 + 5*p**2 + 5*p + 5. What is j*q(a) - 4*n(a)?\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10149 and 408.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 minutes after 7:43 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-2 - -2)\/3)\/(-1). Suppose 0 = -z - p*z - 32. Let i be (-3)\/(6\/z) + 0. Solve -4 = 4*r - i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11.357 + -0.043. Let w = 11 + s. Which is greater: 9 or w?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -152, -1, -8 in increasing order.\nAnswer: -152, -8, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nkoo when four letters picked without replacement from {q: 2, n: 3, k: 3, o: 7}?\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 68 and 1292?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 4*u = 0. Suppose 3*q + q = u. Let z be 4\/((0 - q) + 2). Solve 21 = l + z*l - 5*h, 4*l = -5*h - 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {u: 4, j: 4, m: 6}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 99 + -99. Let y(v) be the second derivative of 1\/21*v**3 + 2*v + 9\/70*v**5 + 4\/105*v**6 + 1\/7*v**4 + b*v**2 + 0. Factor y(z).\nAnswer: 2*z*(z + 1)**2*(4*z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**3 + 6*j**2 - 3*j - 9. Let q be u(-6). Suppose 2*h = -3 + q. Find the third derivative of h*g**6 - 3*g**2 - 3*g**4 + 3*g**4 wrt g.\nAnswer: 360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = 4*j - 28, 4*j + 3*t = j + 9. Let n = -4 + j. Let y = 245 + -261. What is the second smallest value in n, -2\/5, y?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11 - 15. Which is the nearest to 0?  (a) -4\/9  (b) q  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 121, 134, 133, 112, 65, -14, -131, -292?\n\"Answer: -q**3 - q**2 + 23*q + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = -0*v + v + 13, 39 = -4*v + 3*x. Let r be (-5 - v\/3) + 6. Let b(t) = -r*t + t + 2*t. Let u(w) = 3*w**2. Calculate u(b(i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the third derivative of 7*c**7\/10 + 7*c**6\/40 - 33*c**5\/20 + 9*c**4\/8 + 21*c**2. Factor r(b).\nAnswer: 3*b*(b + 1)*(7*b - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**2 - 56*t - 71. Calculate l(59).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/(3\/(-6)*1). Let q(a) = 4*a**v + 2*a**2 + 3*a**2 - 10*a**2. Let d(c) = 29*c**2. Determine q(d(b)).\nAnswer: -841*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2138369 is divided by 133?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(243)*-2 + -5 - (-2 + sqrt(3) + 3 + 0)**2.\nAnswer: -20*sqrt(3) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-27)*d**(1\/10)\/d*d)\/(((((d**(2\/9)\/d)\/d)\/d*d*d)\/d)\/d)**(2\/5) assuming d is positive.\nAnswer: d**(-2231\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/((-4)\/16 + 5\/4). Suppose -b*o = -30 - 26. Calculate the highest common factor of o and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 33 divided by 57384\nAnswer: 11\/19128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -267 - -266.5. What is the nearest to 0.1 in -5, h, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 46*v**3 + 2*v**2 - 1. Let d be l(-1). Is (-5095)\/d - 6\/27 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-28)\/(-5) - ((-21)\/15 - -2). Suppose 0 = -4*p + w*p - 13. Calculate the greatest common factor of 39 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -591\/285941?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-12872)\/340 - 1\/15*-12. Is -37 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-z + 3*z + 1 - z)*(-28*z + 55*z - 25*z) to the form n*z**2 + a*z + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 41688 divided by 4\nAnswer: 10422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 4*f - 20 = 0, 0 = v + 3*f - 2 - 11. Let s(h) = -h**3 - 4 + 4*h**2 + 4*h - 5*h + 3*h. What is s(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*w + 899814 - 449910 - 12*w - 449904.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -46596, -93273, -139952, -186633, -233316, -280001?\nAnswer: -326688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1074935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 2.4, -3\/4, -8, 2\/7 in increasing order.\nAnswer: -8, -3\/4, 2\/7, 2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4913*w - 4908*w - 5*n - 95, -3*n - 42 = 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(425) + -2*sqrt(425) + sqrt(425)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 75 - 5?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -155 (base 7) to base 3.\nAnswer: -10022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 118679182?\nAnswer: 2, 59339591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -124?  (a) 4  (b) 2\/4503  (c) 0.1  (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -355997*i**5 + 179*i**4 - i**3 + 1063237*i**2 - 68 wrt i?\nAnswer: -21359820*i**2 + 4296*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6*14\/(-105)*70\/147*759\/(-46)?\nAnswer: 44\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -19 - -31. Suppose 107 = -10*i + 577. Calculate the remainder when i is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4.9 - -5. Suppose 2*r + 24 = -4*d + 4*r, -4*d - 5*r = -4. Which is the nearest to 2?  (a) 4  (b) h  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 39 - 4. Let k = -34.63 + o. Round k to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sfcxscfjsfxyjxsc. Give prob of picking 1 j, 1 y, and 1 s.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 5*j + 64 = 0, i - 6*i + 3*j - 276 = 0. Calculate the remainder when 34 is divided by 5\/2*i\/(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and -4\/1967 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/5  (b) 2  (c) -0.13  (d) 0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(4\/11)*c)**(-3)*c**3\/c*c\/(c*c*c\/(c**(-29)*c)) assuming c is positive.\nAnswer: c**(-386\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0.09  (b) 0.07  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6480 is divided by 471.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*p = 2*g + 15*p - 2112, -p = -5*g + 5310. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*g**3 + 18 - 18.\nAnswer: -38*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -79*a**5 + 6446*a**4 - 3*a**3 - 11516438*a**2 wrt a.\nAnswer: -4740*a**2 + 154704*a - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from {a: 7, l: 2, o: 1, f: 2, n: 7}.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1493 a factor of 195665115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**3 - 50784*x**2 - 375619560*x - 645174653600.\nAnswer: -2*(x + 2452)*(x + 11470)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10 - -13. Solve n*p = -2*p - 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1327*y + 873*y - 5*y**2 + 3*y**2 - 2338*y.\nAnswer: -2*y**2 - 138*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (379\/1516)\/((-1)\/(-34))*66\/(-11).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2 - 4)*3\/(-2). Suppose -5 = -y*x + 4. Solve -x = -5*s + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 2107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**3\/9 + 6662*v**2\/9 - 740*v.\nAnswer: -2*v*(v - 3330)*(v - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5938 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 252 and 28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 + 11. Let k = w - 2. Which is smaller: k or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3625 and 15?\nAnswer: 10875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -4*2\/8*-3. Let g(t) = -2*t**2 - 3*t**2 - t**p + 4 - 2. Suppose 8*m = 3*m - 25. Give g(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/3))**(-24)*k**(-5)\/(k*k*k\/k**(-7)*k) assuming k is positive.\nAnswer: k**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 180108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -26 - 257*f - 294*f - 355*f + 811*f with respect to f.\nAnswer: -95","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3581.\nAnswer: 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -272033, -544123, -816213?\n\"Answer: -272090*q + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-36)\/126*-7 - (-1 + 1). Put -6, -4, -3, n in decreasing order.\nAnswer: n, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from laolata. What is prob of picking 1 t, 1 l, and 1 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**2 - 3*l + 1. Let z be w(2). Let u = 5 + z. What are the prime factors of u\/(-6)*585\/(-6)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 243, 242, 241?\n\"Answer: -c + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/8 and 125\/264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -144, -121, -62, 51, 236?\n\"Answer: 3*p**3 + 2*p - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f**5\/19 + 243258*f**4\/19 - 1216258*f**3\/19 + 2189246*f**2\/19 - 1702740*f\/19 + 486496\/19 = 0. Calculate f.\nAnswer: 1, 2, 121624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(4050) - (sqrt(7200) - (sqrt(7200) + -1)**2).\nAnswer: -135*sqrt(2) + 7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 3.4, -1, -1\/2, 4 in ascending order.\nAnswer: -1, -1\/2, 3.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16579, 16518, 16459, 16402, 16347?\nAnswer: 16294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 21036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1072 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -870 = -15*a - 825. Solve -a*j - 30*v + 31*v = -3, -j = -2*v + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -760 + 784. Solve -4*s - z = -2*k, 5 = -3*k + 2*s + 25 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 167 + -104. Let l = 8 + 1. What is the highest common divisor of l and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2158*x**2 + 4402*x**2 - 2220*x**2.\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1815 + 630 = 3*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -145051*c*g**2 - 14023223*c - 6*g + 2 with respect to g.\nAnswer: -290102*c*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w - 4*w - 9. Suppose -2*y - 4*c + 2*c = -10, 3*c + w = 5*y. Suppose -y*k - 2*k = -320. Calculate the remainder when k is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z**(1\/4)\/z*z))**25*(z*z*z**(-1\/5))\/(z*z**0))**(-42) assuming z is positive.\nAnswer: z**(-8211\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1329*i + 1305*i = -1008. Let j(h) = 47*h**2 + h. What is the smallest common multiple of j(1) and i?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 174 a factor of 2447658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 + -7. Let o(a) = 239*a + 7869. Let x be o(-33). Put x, q, 0 in ascending order.\nAnswer: x, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 - 3\/2)*4. Let k be ((-2)\/(-12))\/(c\/(-30)). Let n = 2.2 - 2. What is the second smallest value in n, k, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 28794 = -43206. What is c rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(2) + -4)**2 - (sqrt(18)\/(sqrt(27)\/sqrt(3)))**2.\nAnswer: -16*sqrt(2) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 24610109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 9 = 0, r - 4*t - 32 = -4*r. Suppose -3*a + 21 = r*l, -4*l - 70 = -9*l + 5*a. Calculate the remainder when 14 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (-6*(sqrt(91) + (sqrt(91) - 1*sqrt(91))))\/(sqrt(112)*-2) - (sqrt(26)\/sqrt(32)*-4 + (5*(sqrt(52) + 0))**2).\nAnswer: -1305 + 7*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 5. Let p(a) = 3. Let w(s) = -7*p(s) + 4*x(s). Let z(n) = 2*n + 7. Determine -4*w(b) - z(b).\nAnswer: -2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 36230358569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 44474 not equal to 44295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -176536*i**3 - 2*i - 601787 wrt i.\nAnswer: -529608*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -578475 by 9.\nAnswer: -64275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 2*z**2 - 26*z + 20. Let r be o(13). Solve 0 = 6*n - 2*n - r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n + 0 + 0)*(0*n - n + 3*n) - 1 + n**2 + 1.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 33615 and 51435?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l = -2*n - 13, 0 = -18557*n + 18553*n - 2*l - 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 833651, 1667293, 2500935, 3334577, 4168219?\nAnswer: 5001861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2201 + 7*m - 2*m - 2201 + 2*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 612 = 4*d - 5*i, 4*i = -3*d - 0*i + 490. Calculate the greatest common factor of 869 and d.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 400250 (base 6) to base 3.\nAnswer: 1120210210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 26233043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**2 - q + 1. Let f(d) = -3*d**3 - 6*d**2 + 6*d. Let h be ((-10)\/20)\/((-1)\/(-2)). Let r(t) = h*f(t) - 3*g(t). Factor r(b).\nAnswer: 3*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the first derivative of -g**4\/4 - g**2\/2 - 11*g + 1322. Let q(u) = u**2 + 3*u - 4. Let n be q(-4). Give j(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1178939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (44\/33)\/(36\/(-54))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1126.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6)\/(-4) + 17\/(-2). Let p be (-19)\/w - 14\/(-49). Does 4 divide -2 + (4*6 - p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 4512023977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-79)\/(-18) + 4\/(-1) and (-8)\/168*(-219)\/2?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2017165 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -102116*g*u + 40940*u wrt g.\nAnswer: -102116*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 51896 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 - 5)*13\/10*8. Let l = g - -60. Calculate the highest common divisor of 20 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 97 = k - 5*n, k + n - 67 = 0. Suppose -3*c + 2*l = -5*c + k, -5*l - 180 = -5*c. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the first derivative of -4*x**4 - 5*x**2 - 3. Find the second derivative of i(p) wrt p.\nAnswer: -96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(52) - 2*sqrt(52)*2) + (sqrt(832) - (1 + sqrt(832))**2).\nAnswer: -833 - 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1062132 rounded to the nearest 10000?\nAnswer: 1060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -830107*k. Let x(u) = 2*u**2. Calculate s(x(f)).\nAnswer: -1660214*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccaaaaaccc. What is prob of picking 4 a?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the second derivative of -b**6\/360 + b**4\/12 - b. Let l(j) be the third derivative of z(j). Let x = -6 + 3. Give l(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11.96 + 11.960009928. What is b rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -554, -1082, -1590, -2078?\nAnswer: -2546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - 1) + -3 + (8 - (1 + 10)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of r**4 - 47*r**3 - r**2 - 186*r + 1773769 wrt r?\nAnswer: 4*r**3 - 141*r**2 - 2*r - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:13 PM and 4:52 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(1*(sqrt(85) + sqrt(85)*-1 + sqrt(85) + sqrt(85)) - sqrt(85)))\/((sqrt(5) - (sqrt(25)\/(sqrt(5)*-1) - sqrt(5)))*-1) + -4.\nAnswer: -4 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sir when three letters picked without replacement from {i: 1, e: 4, r: 10, s: 2}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 146*q - 39*q - 1605 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-596)\/1)\/(3 + -5). Let l = -179 + i. Let h = l + -34. List the prime factors of h.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t + 175. Let w(z) = z. Give j(w(o)).\nAnswer: o + 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -78431 or -78435?\nAnswer: -78435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -22084 - -18769.4. Let f = i - -3891. Let t = 523 - f. What is t rounded to the nearest integer?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 700.0574 + -700. Let p = r - 290.0574. Let m = p + 289.365. Round m to two decimal places.\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -6395*r + 2. Let q(l) = -4*l**2. Give k(q(d)).\nAnswer: 25580*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -4*u + 24, 0*c + 28 = 2*u + 5*c. Suppose -b + u*b + 10 = -4*d, 2*b - 5*d = 24. Suppose -267 = -o - b*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*y + 5*y - 3*g - 24, 0 = 2*y - g - 13 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 2*h + 9. Let s = -201 - -253. Suppose s*x - 53*x = 0. What is u(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 170666603*m**4 - 2*m - 232245984.\nAnswer: 682666412*m**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9601 = 3*l - k - 9617, -5*k - 30 = -5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0117112 to 5 dps.\nAnswer: -0.01171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmimmmgmgmim. Give prob of picking 1 i and 1 m.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -6, -0.1, 0.5, 1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8080229*u**4 - 8*u**2 - 64621*u - 2 wrt u?\nAnswer: 193925496*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*w - 34619161449*w**3 + 34619161448*w**3 + 3*w.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let 45\/2*o**3 + 3\/4*o**4 + 0 + 42*o**2 + 0*o = 0. What is o?\nAnswer: -28, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -13?  (a) 1  (b) 0.05  (c) 0.5  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add 790760 and -0.35.\nAnswer: 790759.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 17184439361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 28 + -17. Let m = n + -14. Let l be 0*-2*m\/12. Put -2, 5, l in ascending order.\nAnswer: -2, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) 12  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-125 + 125 + 41*z)*(-664*z + 58*z - 126*z - 2).\nAnswer: -30012*z**2 - 82*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15*1*(-11)\/(-55) - 16\/(-6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**2 + 91*l - 1405. Determine m(41).\nAnswer: 645","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m - 19 = -5*s, 2*s = -6234*m + 6230*m - 50 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 9*253\/(-33) + (267 - 238)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4614 + 5071.12. Let q = 492.001 - j. Let s = 35 - q. Round s to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5*2\/6*(-12)\/(-10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4366 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -0.3, 17, 3, 0.3 in ascending order.\nAnswer: -5, -0.3, 0.3, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the third derivative of -v**5\/60 - 23*v**4\/24 - 41*v**3\/2 - 15*v**2. Let g be q(-9). Solve g*z + 1 = -11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -2*t**3 - 2*t**2 + t + 2. Let z be f(-2). Let o(h) = h**2 + 16*h + 32. Let u be o(-14). Suppose -u*y + z = -8. Solve d + 10 = -y*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 70874964 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -2253\/92 smaller than -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {x: 11, k: 2}.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the third derivative of 0*x - 35*x**2 - 5\/6*x**3 + 0 + 1\/24*x**4. Calculate k(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**3 + 246*k**2 + 8946*k + 11708. Determine j(-202).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.27484887 rounded to 3 decimal places?\nAnswer: 0.275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -21\/739738 - 2086429223\/63617468. Let g = 2\/43 + v. Let d = g + 33. Are -5 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-o - 3*o + o)*(o**2 + 3*o**2 + 0*o**2) - 4*o**3 + 5*o**3 + o**3 + (2 - 2 - 2*o)*(-2*o**2 + 0*o + 0*o) in the form u*o**2 + f*o + d + v*o**3 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 2*f = -2*o + 61, -f + 75 = 3*o. Find the second derivative of 35*a - 110*a**4 - 1 - 24*a + 11*a + o*a wrt a.\nAnswer: -1320*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-238)\/(-18) - 2\/9. Suppose j = -3*p + 37. Suppose p*u = 3*u + 20. Solve -d - 2*c - u = -0*d, -4 = -d + 2*c for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**3 + 8*j**2 + 2. Let y be u(8). Let p(r) = 2*r + 3 + 2*r - 3*r + r**3 - 5*r**y. Does 4 divide p(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1188)\/(-110) + -6)\/(((-42)\/20)\/(-7)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 120 + 33. Does 55 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (974\/18019)\/((-1)\/(-1))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the third derivative of -m**4\/24 - m**3\/3 + 6*m**2. Give j(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = 3*r - 21, -2*a + 4 = -r + 2*r. Suppose -r = x - 18. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 713432792 equal to 713432793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*i**3 - 69087295*i**2 + 69087295*i**2.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 814 and 42.\nAnswer: 17094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -40\/62763 and 50\/39.\nAnswer: 815919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2.8, -2.7, -3\/4, 2\/3, 0.4?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -101\/222 and -4\/477?\nAnswer: 35298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + 18 = o, 3*k + 206*o - 201*o + 25 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -122032 (base 4) to base 2\nAnswer: -11010001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.2, 0.055, 3, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*w + 2*w - 4*w)*(-551*w + 64*w**3 + 551*w) to the form h*w**3 + t + y*w**4 + z*w**2 + u*w and give y.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -u**4 - u**4 + 0*u**4 + (2*u**3 - 2*u**2 + 2*u**2)*(-u + 4*u - u) + (-3*u**2 + 2*u**2 + 0*u**2)*(2*u**2 + 0*u**2 + 0*u**2) - u**4 + 5*u**4 - 5*u**4.\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:03 AM and 4:55 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 89 + -39. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -5*1*((-36)\/15)\/3. Suppose 7*h = -f*h - 6*h. Solve h = -6*v + 8*v - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23266697?\nAnswer: 19, 347, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/28 + 0*(-25)\/(-125)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11135556 and 16524?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 3*q**2 - 1. Let p(k) = -5*k**2 + 2. Let b(s) = 2*p(s) + 5*x(s). Let d be b(-1). Put d, -4, -2 in ascending order.\nAnswer: -4, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n**2 - 38803*n - 222985 = 0.\nAnswer: -9695, -23\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 4651 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (4 + 0 + -2)*(-10)\/(-4). Solve -7*f - 8 = -r*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 18 + -15. Let i be 8 - (z + -4) - -4. Let l = 10 + -7. Solve 11 = n + l*n - o, n = -5*o - i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 18*h + 1 + 2*h + h to the form g*h + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6*-1 - 0) + 0. Let u(x) = -4*x - 9. Let p be u(y). Suppose -g = -2*g + p. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (256 + 1)*((52 - 2) + -21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 92182*m - 92488*m - 4 - 9.\nAnswer: -306*m - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**3 - 15*o**2 - 20*o - 12. Let z(s) = -6*s**3 + 76*s**2 + 101*s + 60. Let y(i) = 11*f(i) + 2*z(i). What is the tens digit of y(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -427*a - 458*a + 1297*a - 450*a.\nAnswer: -38*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/9*6*3*-134. Sort s, -3, 4, -2, 0 in ascending order.\nAnswer: s, -3, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes after 6:08 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 347197584 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.4233 minus 11241853214?\nAnswer: -11241853212.5767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 150436153*x**3 - 316742859*x wrt x?\nAnswer: 902616918*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76*b - 20 = z + 81*b, 3*z = -2*b + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 37*m - 5. Let p(h) = 116*h + 6 - 48*h - 13 + 79*h - 14. Determine -21*n(l) + 5*p(l).\nAnswer: -42*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 132025651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-2*6*(sqrt(200) + (sqrt(200) - (sqrt(200) - (sqrt(200) - -5*-1*sqrt(200)))))*1*-2 + -1))**2.\nAnswer: 1440*sqrt(2) + 1036801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 94261 is divided by 6270?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6.16 + 6. Let g = d - -1.56. Let t = -1.675 + 2.675. Which is greater: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (4\/(-546))\/((-4)\/(-33)). Let y = -9\/26 - c. Let q = -57.37314 - -55.37314. What is the second smallest value in y, 2\/13, 2, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4a9 + 756?\nAnswer: 2ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 0 + sqrt(1539) + 2)**2 + 3.\nAnswer: 72*sqrt(19) + 1558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/2, 0, -180555?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*l = 39*l + 13927. Calculate the remainder when l is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the second derivative of -c**3 - 45*c**2\/2 - 105*c. Find the first derivative of t(i) wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 5, l: 5, y: 1, s: 7}. What is prob of sequence yls?\nAnswer: 35\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i - 148 = 3*i. Is i a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.13 - 374.\nAnswer: -373.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 67411\/70 + -963. Let f(y) be the second derivative of 0*y**2 - y - g*y**5 + 0 + 0*y**3 - 1\/105*y**6 + 0*y**4. Factor f(i).\nAnswer: -2*i**3*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17625799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -129 + 129.4. Put -3, 2, 1\/2, c in decreasing order.\nAnswer: 2, 1\/2, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*g**2 - 40776*g - 3236480.\nAnswer: -4*(g + 80)*(g + 10114)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 641466 divided by 203?\nAnswer: 91638\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 373454?\nAnswer: 2, 186727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.121 - 5.121. Let t = 474 - 472. What is the biggest value in 2.1, t, y, -1\/4?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 154 and 5327762.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (2017 + 11 + 1267 + 319 - 81)*(-1 - 2*x + 1) as i*x + s and give i.\nAnswer: -7066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/(-392)*(-2100)\/(-900)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:03 AM and 2:43 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*sqrt(17)*4 + 2 + 3*sqrt(17) + (2*sqrt(34)\/(sqrt(72) + sqrt(2))*4)**2.\nAnswer: 1186\/49 + 23*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**2 + 6*d + 31. Let v be k(9). Suppose 3*m - 12134 = 5*b - 64014, v*b = -16. What is m rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 71908.\nAnswer: 2, 17977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/3*(-8 - 133). Which is bigger: h or -50?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 619967\/625 < 992?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -148309 at most -148302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -90815753*j**5 + 5841522*j wrt j?\nAnswer: -1816315060*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/((-12)\/(-3))*10. Let l be 34\/v - 9\/(-15). Let g be (l\/6)\/(-2 + 0). What is the smallest value in g, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1a03cc84 + -2?\nAnswer: -1a03cc86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -306 bigger than -306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 13*v**2 - 253*v - 142. Determine t(20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 6859.65 to the nearest 10.\nAnswer: 6860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*i**3 + 10555*i**2 + 20*i - 42220.\nAnswer: -5*(i - 2111)*(i - 2)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2102 - 1122?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 <= 41398\/4937?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t*(t**(23\/3)*t)\/t*t**(-1\/9)*t assuming t is positive.\nAnswer: t**(86\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 + -17. Is -0.2 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1\/6 - 0)\/((-310)\/8 - -39). Which is the biggest value?  (a) g  (b) -1  (c) -0.196\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 3960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z + 3*z - 3*z)*(0*z - 5*z + 0*z + (-4*z + 0*z + 2*z)*(0 + 1 - 2) + 3 - 3 + 2*z)*(2*z + 2*z - 6*z)*(-4 + 3 + 2).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 4*g**2 - 6*g + 137. What is the hundreds digit of o(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*c**6*d + 2590*c**4*d**2 - 987*c**2*d**2 - 2*c**2*d - c**2 wrt c?\nAnswer: -240*c**3*d + 62160*c*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 201 at least as big as 4284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/5 of a microgram in nanograms?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ztzt when four letters picked without replacement from oztzzzzzztzo.\nAnswer: 14\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5113648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -30*b - 32*b + 59*b - 18. Let z be o(-5). Let n be (-26 + 2)\/z + 0\/1. Calculate the highest common factor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -0*m - 2*v - 224, -2*m + v - 458 = 0. Are -228 and m non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 3523*d. Let v(i) = -2*i + 7. Give b(v(k)).\nAnswer: -7046*k + 24661","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 93781837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -143.8 + 141.8. Which is the third biggest value?  (a) 0.97  (b) z  (c) 0.3  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7245.8*-5.73\nAnswer: 41518.434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2212 and 392?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/24  (b) -4  (c) 57  (d) 1\/198\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 55, 105, 169, 253, 363, 505, 685?\n\"Answer: z**3 + z**2 + 40*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 4 - w)*(2*w + 0*w - 3*w)*(221 + 41*w - 221) as i*w + d + v*w**3 + x*w**2 and give v.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**3 + 29*f**2 - 2*f + 74. Give m(-29).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -257*l. Let b(v) = -16*v. What is w(b(m))?\nAnswer: 4112*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 44+-0.1220653243\nAnswer: 43.8779346757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -110 + 60 = -f - 5*s, -6*s = -36. Solve -5*i + f = 15*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -156*a + 161*a + 5 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-4\/25)*t*t\/((t*t**43)\/t)*t*t**(-24)*t\/((t**(-14)*t)\/t) assuming t is positive.\nAnswer: t**(-1229\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12*w**4 + 0*w**4 + 14*w**3 + 7*w**5 - 3*w**5 - 6*w**3.\nAnswer: 4*w**3*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*l = 17*l - 360. Let j be (-3)\/(-6) + l\/(-50). Let d = -0.9 - -4.6. Is j less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(60) - (sqrt(60) - -4*sqrt(1500)))\/(((sqrt(132) - -1*sqrt(132)) + sqrt(132))\/sqrt(11) - sqrt(12))*1)**2.\nAnswer: -40*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 62.04 - 66. Let x = -59.16 - q. Round x to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**2 - 56*u - 6598. What is r(119)?\nAnswer: 899","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-2\/5)\/t**(-12)*t*(t*t**(-10))\/t*t*(t*t\/(t\/((t*t*t\/(t\/(t\/t**(-10))))\/t)))\/t assuming t is positive.\nAnswer: t**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 86\/(-18) + (-2)\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 787*y**2 - 372*y + 54. What is the tens digit of m(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2417339 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/(-3)*(5 + -5). What is the second derivative of 2*b + b**4 + 4*b + g*b wrt b?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 24 and -11153525.\nAnswer: -267684600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes before 8:13 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/24 - 3995\/(-1020)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 90700 and 21400?\nAnswer: 19409800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 q when two letters picked without replacement from {h: 1, i: 1, o: 1, q: 1, m: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 115292 and 7585.\nAnswer: 576460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 12484.06 tonnes?\nAnswer: 12484060000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 18 + -8. Suppose -t*m = -17*m. Which is the nearest to -1\/2?  (a) -4  (b) -0.2  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -433401883*n**3 - 2*n**2 + 113164*n - 73.\nAnswer: -2600411298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 188.2571 rounded to 1 decimal place?\nAnswer: 188.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 159.31305 minutes to days.\nAnswer: 0.1106340625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -2*u - 4. Let x be w(-3). Let n = -35 - -62. Suppose -x*g + 5*g = n. What is the lowest common multiple of 30 and g?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from nnggkgggmgggccnw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1714655243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**2 + 93*o + 568. Let j be s(-87). What is the highest common factor of 7958 and j?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -85, -83, -85, -97, -125, -175?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b - 7. Let r be a(6). Let w be (6\/(-10))\/((-2)\/10). Sort r, w, 5 in descending order.\nAnswer: 5, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11003130 (base 4) in base 7?\nAnswer: -114231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*-1*(-3)\/9*-1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*i**2\/5 + 26373*i\/5 - 820446\/5.\nAnswer: 3*(i - 31)*(i + 8822)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 16*m - 196. Let o be p(15). Is o less than or equal to 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + w**2)*(30*w**3 - 25*w**3 - 1284*w + 2545*w - 1261*w + 5282).\nAnswer: 5*w**5 + 5282*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + -40656?\nAnswer: -40653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5\/7 in 2, 2\/9, 29?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 56 and 368396.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 261557017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -140*w**3 + 140*w**3 - 34*w**4 + (w**3 - 3*w**3 + 4*w**3)*(0*w + 0*w - 2*w).\nAnswer: -38*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3536, -3838, -4144, -4454, -4768, -5086?\nAnswer: -5408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 5136, 5393, 5828, 6447, 7256, 8261, 9468?\n\"Answer: s**3 + 83*s**2 + s + 5051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in eleven quarters of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 163*q - 169*q + 12. Let u(p) = -5*p - 5 - 6*p**2 - 1 + 3*p**2 - 4*p**q - p**3. Determine u(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:39 PM and 11:26 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sum 18504 and -0.031.\nAnswer: 18503.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {r: 5, b: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*h + 3*h - h**3 + 2*h**3)*(0 - 1 + 2)*(-9 - 5 + 3 + (-4 + 6 - 4)*(2 + 1 + 1)) as q*h**2 + s + l*h**3 + y*h and give l.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 450 (base 13) to base 8.\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 7*p**3 - 17*p**2 - p - 22. Determine u(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**2 + 10*p + 11. Let y be r(-9). What are the prime factors of 27 + -3 + y + 2?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(84) + 2*(sqrt(84) + sqrt(84)*1) + sqrt(84))\/(sqrt(12) - ((sqrt(588) - (sqrt(588) + -1*sqrt(588))) + sqrt(12)))*1*-4)**2.\nAnswer: 576\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 215753 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 132001 - 0?\nAnswer: 132001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/1*3*(-6540)\/(-36). Let j = v + -361. Does 23 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 1*sqrt(5) + sqrt(5) + 0 + 5)**2.\nAnswer: 28*sqrt(5) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 449 is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - ((11 - 5) + -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 + 0 + -30 - -23.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 29813, 29510, 29193, 28862, 28517, 28158?\n\"Answer: -7*o**2 - 282*o + 30102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*b*h - 456546*b - 1273236*h wrt b?\nAnswer: 3*h - 456546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = l - 8, -l - 2*g - 26 = -5*l. Suppose 3*s - 6 = l. Let q = -0.01 + -0.19. What is the second biggest value in 0.3, q, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r**3 + 10*r**3 - 4 + 9)*(46*r - 21*r + 17 - 26*r).\nAnswer: -9*r**4 + 153*r**3 - 5*r + 85","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/7 of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1114*q - 173*q - 3527*q - 3 + 1.\nAnswer: -4814*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2*2\/4 - -1. Suppose -c - 6 = -j*c. Let a = 3 - -3. Calculate the lowest common multiple of a and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 18\/19?  (a) -29  (b) 4  (c) -139\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pqqqqzqqqqqqqqqqqqqq. Give prob of sequence pz.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 57*a*d*n*y**3 - 3*a*d*n*y**2 - 2*a*n**2 - d*n*y**3 + 2*n**2*y**3 + 4*n**2*y**2 wrt y.\nAnswer: 342*a*d*n - 6*d*n + 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -6.8  (b) -1  (c) -0.3  (d) -31  (e) -8  (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3 + (-32)\/(-12))*(-2 + 1). Let h(f) be the second derivative of -3*f + 0 + f**2 + k*f**4 + 0*f**3. Find the first derivative of h(g) wrt g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.7, -0.2, -390?\nAnswer: -390","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -141 - -976. What is the greatest common factor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the third derivative of 62*g**2 + 0 - 1\/12*g**5 + 0*g**3 + 0*g + 0*g**4. Let y(l) = -13*l. Calculate y(j(f)).\nAnswer: 65*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 18*q**2. Let a(p) = -338*p. Determine a(k(d)).\nAnswer: -6084*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1755 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(10\/11))\/(k*k\/(k\/((k\/(k**1\/k*k*k))\/k*k)))*k**(-19)*k**(-2\/5) assuming k is positive.\nAnswer: k**(-962\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, n: 7, v: 1}. Give prob of sequence vgg.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**3 - 17*h**2 - 73*h - 8. Calculate the remainder when 127 is divided by w(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -16838 - -31672. List the prime factors of j.\nAnswer: 2, 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4266 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k - 4 + 288. Let c = -53 + k. Suppose -5*h + 13 + 17 = 0. Calculate the highest common divisor of c and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 170671313 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -553ed1 + -a?\nAnswer: -553edb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 329441 - 1.62.\nAnswer: 329439.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1554, 6193, 13922, 24741, 38650, 55649, 75738?\nAnswer: 98917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 13 = -3*x + 3*o, 5*x + 2*o + 37 = 0. Let c = 12 + x. Let m(n) = -n**3 + 8*n**2 - 5*n + 7. Is m(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9 + -5. Suppose 43 + 197 = l*a. Suppose -a = -5*m - 25. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 4737*w - 123165. What is i(26)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(2 + sqrt(84)\/sqrt(3))*3*-4.\nAnswer: -24*sqrt(7) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the third derivative of -w**4\/24 - 679*w**3\/6 + 2074*w**2 + w. Let i(n) = -6*n**2. Calculate i(l(d)).\nAnswer: -6*d**2 - 8148*d - 2766246","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(272)*1 + sqrt(272) + 0 + 3 + -2*(sqrt(1700) + -1)*1)**2.\nAnswer: 80*sqrt(17) + 1113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -1594cc (base 15) to base 8\nAnswer: -3766777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -288797, -577593, -866389, -1155185, -1443981, -1732777?\n\"Answer: -288796*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 48 + -3*8\/(-12). Solve -j - 2*d = 2*j + 5, 0 = -5*j + 5*d - n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2.73?  (a) -0.2  (b) -0.4  (c) -0.8  (d) 0.3  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5021 = 2*f - 4*i + 1925, -3*i = 0. Is f a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17*k + 542 - 13*k**2 - 8*k - 555 to the form w*k**2 + a + h*k and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -603618925 - -2011861964278\/3333. Let o = -288\/11 + v. Is -1 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 108603 is divided by 3503.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**2 + 14*d + 12. Let h(j) = 13*j**2 + 120*j + 13. Let f be h(-9). Give u(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3927 bigger than -3926?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-56)\/(-12)*21\/2. Suppose -14 = -7*j - d. What are the prime factors of 201*(-2 - 2 - j)?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qcc when three letters picked without replacement from usscccqsccs?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -8480927 divided by 469\nAnswer: -18083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -406339 = -7810*j + 26017 + 40453 + 11411 for j.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dj when two letters picked without replacement from djjjjjjjjjjjjjjdjj.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -179, 4 in descending order.\nAnswer: 4, -2, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m + 16853 = -6*m + 2*s, 0 = 4*m - 4*s - 67424. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-257)\/1285*(0 - -3). Let y = -5.9 + 2.8. Which is the third smallest value?  (a) w  (b) y  (c) -3  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 16955, 0, -5 in ascending order.\nAnswer: -5, 0, 16955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 36 and 67786.\nAnswer: 1220148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 99590 divided by 23?\nAnswer: 4330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 138.1 + -1175.1. Let h = 1068.55 + z. Round h to the nearest integer.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -14 + 15. Put -0.4, 0.1, j in decreasing order.\nAnswer: j, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -4*x**2. Let b(z) = -2*z + 365. Calculate r(b(q)).\nAnswer: -16*q**2 + 5840*q - 532900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 8*w + 6. What is h(5)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -2*z**2. Let m = 15 - 13. Let n(l) = 11*l**2 - l**m - 2 + 2. Calculate j(n(v)).\nAnswer: -200*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5 or -1047\/241?\nAnswer: -1047\/241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 80.700000666 - 80.7. Round r to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (54*v + 55*v - 114*v)*(170506*v + 244*v**3 - 170506*v) in the form r + a*v + l*v**2 + d*v**4 + w*v**3 and give d.\nAnswer: -1220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 72843 is divided by 14097.\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -38, -90, -158, -242, -342?\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*s**3 - 12*s**2 - 3364*s - 3348.\nAnswer: 4*(s - 31)*(s + 1)*(s + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3.01 + 0.01. Let u = 0.5 - -0.5. What is the nearest to u in 2\/23, -4\/7, g?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33494 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6327 + 6327 = 82*j. Let f be (-7)\/(-65)*-1*1. Which is smaller: f or j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9615586327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 393?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**2 - 2*r + 2. What is the remainder when g(5) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from {x: 1, r: 1, u: 2, s: 1, v: 1, f: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 37 - 78 + 2092*x + 41 to f*x + y and give f.\nAnswer: 2092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 19292162597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 17313157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -35*n**6 - 31*n**2 - 4 wrt n.\nAnswer: -4200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.19?  (a) -0.3  (b) 0.3  (c) 5927.6  (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 20*r - 1574. What is c(79)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -4*m. Let f(u) be the third derivative of 0*u**4 - 2*u**2 + 0*u**3 + 0 - 1\/30*u**5 + 0*u. Calculate x(f(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p - 0*p - 22. Let c = 133\/6 + p. Let i(y) = -y**2 - 10*y - 8. Let x be i(-9). Which is smaller: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the second derivative of 5*s**3\/6 - 5*s**2\/2 - 10*s. Calculate m(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 226904 is divided by 1129?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -5170*k - 36197. Determine w(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 4*m**2 + 226*m - 3131. Let v(f) = 19*f**2 + 1130*f - 15670. Let w(g) = -14*l(g) + 3*v(g). Differentiate w(b) wrt b.\nAnswer: 2*b + 226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 11 + -218731?\nAnswer: -218720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 138 is divided by 64?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3461274?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 122*v - 10. Let p be k(-3). Let m = -2630\/7 - p. Which is the closest to 1\/3?  (a) m  (b) 5  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**2 - 9*l - 3. Let n be s(-9). What are the prime factors of 7 + 2 + 3 + n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 191673 and -0.1.\nAnswer: -19167.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 68 + 3 + (-67 - -108).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((6\/(-45))\/(14\/(-35)*-2))\/((-7)\/(-490))?\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 2*g**3 - 32*g**2 - 38*g + 16. Let y(v) = -v + 4. Let z(t) = q(t) - 4*y(t). Determine f, given that z(f) = 0.\nAnswer: -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -19  (b) -1\/832  (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1606395 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -16 - -26. Calculate the lowest common multiple of w and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 4 + 2*p - p + 0*p - p + (-2 - 3 + 3)*(0*p + 2*p - p) - 2*p + 0*p - 8*p)*(-5*p + 9 - 9) as n*p**2 + c*p + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -415286, -830562, -1245824, -1661072, -2076306?\n\"Answer: 7*i**2 - 415297*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 30524597?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -220 (base 6) to base 10\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - 4 - 4. Find the second derivative of 4*b - 7*b**4 - x*b**4 + 0*b**4 wrt b.\nAnswer: -108*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u - 3. Let m be k(-8). Let n = m - 5. What is the derivative of n*i**2 - 3*i**2 - 5 + 2 wrt i?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 57, 725, 2257, 4911, 8945?\n\"Answer: 43*m**3 + 174*m**2 - 155*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -15105112 (base 6) in base 5?\nAnswer: -113201431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2441834?  (a) -1\/4  (b) 1  (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 67 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in three sixteenths of a day?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 + -1. Let i = y + 2. Suppose g - i*n - 13 = -0*g, -3*g = 3*n - 9. Solve 4*f = g*d - 29, f - 5*d + 26 = -0*d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 491 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*j**2 + j**2 + 2*j**2)*(0*j**3 - 5*j**3 + 3*j**3) + 2*j**5 - 7*j**5 + 2*j**5 + j**2 + 2*j**5 - j**2.\nAnswer: j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 452 - 1292 = 0. Let h = 247 + w. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -14\/10345403 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes before 1:39 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 130 and 39173485.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -41  (b) 47  (c) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5166 divided by -369.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -698 - -693. What is the nearest to k in -3, -2\/9, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -46 and -3.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 2) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 4*r = 4, h + 3*r + 2*r = 1. Solve -5*l + 6 = 4*j, -j - h - 5 = 5*l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 17268734 or 17268739?\nAnswer: 17268734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1865.495 centuries in years?\nAnswer: 186549.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1444 and 3.98.\nAnswer: -5747.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -162 - -176. Calculate the greatest common factor of 6 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 93353489939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u - 2*u - 4 = 0. Let m = 2 + u. Suppose 0 = -3*a + 6, 0*a + 9 = t + 3*a. Solve -m*p + r + 3*r = 10, t*r = 3*p + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((-2*sqrt(8) - sqrt(8))\/sqrt(4) + -1)**2*5.\nAnswer: -95 - 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 326 divide 508404172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -188 - 122. Let l = -62 - v. Does 31 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 240.4101 weeks in hours?\nAnswer: 40388.8968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {o: 3, m: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 28\/49 - 6\/(-14). What is the closest to -1\/3 in t, -2, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gpuiduuuuipipiipvuu. What is prob of sequence vgpp?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1236 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1147a7 - -3?\nAnswer: 1147aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 1212 = -3*g + 1210, 4054 = 5*g + h. Round g to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7 + 18. Suppose -z = -a - 34. Calculate the highest common divisor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -280 + 490. Suppose -q = -6*w - 54. Suppose j = 5*p + w, -2*j + 5*j - 3*p - 138 = 0. What are the prime factors of j?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:53 PM and 3:43 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -42055 greater than -41508?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/7 + 306\/630)*(-10)\/(-40)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2 + 10*w + 1. Let z be n(7). Let u = -22 + z. Let k = -148\/5 + 1026\/35. Which is the closest to u?  (a) 0  (b) k  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 359.8313g in milligrams?\nAnswer: 359831.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.70238 + 0.077.\nAnswer: -1.62538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 15924917 or 15924910?\nAnswer: 15924917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -13*t + 11*t - t**3 - 7*t**2 + 8 + 2*t. Let y(i) = -6*i**3 - 4*i**2 + 2*i + 1. Let h be y(1). Calculate p(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 4*t + 7. Let r(z) be the third derivative of -z**4\/12 - z**3\/2 + z**2 + 18*z - 32. What is -7*r(d) - 3*u(d)?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 5*i - 10. Suppose 0 = p + 3*p + i*h - 639, 2*p - h - 327 = 0. Does 8 divide 3\/(-15) - p\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.2368 + 1.7632. Which is the nearest to h?  (a) -2\/11  (b) -36  (c) -5  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-j - j + j)*(3*j + 0*j - 2*j)*(532262*j - 269542*j - 283432*j) - 2*j**3 + 2*j - 2*j to the form z*j**2 + o*j**3 + i + n*j and give o.\nAnswer: 20710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r + 1. Let m(c) = -c**3 - 5*c**2 - 4*c + 2. Let a be m(-4). Suppose 4*z + a*j - 86 = -0*j, 5*j - 68 = -3*z. Suppose -4*v = -z - 3. Give t(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -19*y**3 - 17*y**2 - 44*y - 11. Let f be g(-3). Calculate the greatest common factor of 13 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*n + 18*n + 9 - 1 + 17*n.\nAnswer: 17*n + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes before 3:42 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 3 = -3*d. Find the second derivative of 4*a - d*a - 3*a**5 + 2*a**5 wrt a.\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -58864 divided by -58864?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12 - 14. Let r be (4 - 4) + 1\/p. Let l = -8 + 5. Put r, l, -2\/11 in decreasing order.\nAnswer: -2\/11, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1479.\nAnswer: 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 66.37082 days to minutes.\nAnswer: 95573.9808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3724 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -2*i. Let u(n) = 9*n - 18. Give -2*t(f) + u(f).\nAnswer: 13*f - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(-14) + 213\/21. Suppose -2540 = -h*q - 950. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12 - -23\/2. What is the fourth smallest value in 1, -3, f, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 67 + -31. Let i = j + -30. Solve i = -m + 2*m - 4*f, 4*m = -5*f - 18 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0389 times 0.3?\nAnswer: -0.01167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -25 in 0, 0.4, 1\/6, 437, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 3\/8  (b) 17  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 58\/25?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -172a7bb (base 12) in base 11?\nAnswer: -2780095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the second derivative of 0*z**3 + 0 - 1\/30*z**5 + 0*z**4 + z**2 - 3*z. Let y(t) be the first derivative of g(t). Let f(s) = 3*s**2. Give f(y(a)).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*v + 3 - 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -84.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*f*w**6 - 10469547*f*w**5 - 5*f*w**2 - 490010*f*w - 3*w**2 wrt w?\nAnswer: -360*f*w**3 - 628172820*f*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((z\/((z**(-2\/13)*z)\/z)*z)\/z)\/z**8)**(5\/9))**(18\/7))**(5\/2) assuming z is positive.\nAnswer: z**(-2225\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -3*b**5 - b**4 - b - 1. Let f(z) = 116*z**5 - 478*z**4 + 195*z**3 + 415*z**2 - 323*z + 57. Let w(h) = 3*d(h) - f(h). Find m such that w(m) = 0.\nAnswer: -1, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**3 - 6*i**2 + 3*i + 1. Let q = 51 - 33. Suppose -x = 2*x - q. Let z be c(x). Solve 5*s + 4*v - z = 0, 3*s - 6*v + 2*v - 5 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5 and 2.009?\nAnswer: 1.0045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -10 - 15 + 25 - 2*x. Let b(v) = 7*v + 5. Let p(n) = -7*n + 29 - 11 + 31*n. Let j(q) = 18*b(q) - 5*p(q). Calculate d(j(i)).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2331161*k**2 - 12476326*k**2 - 22548296*k**2 - 14825170*k**2.\nAnswer: -52180953*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aacacaca. What is prob of picking 3 a?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**3 - 5*t**2 - 7*t + 10. Let s be j(6). Suppose s*b + 12457249 = 5*c - 342746, -3*c - 16000003 = 5*b. What is b rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((b**4*b*b)**(-49))**(-5\/7))**(-12\/19))**(-1\/51) assuming b is positive.\nAnswer: b**(840\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -50\/17 + 635\/187. Let i = j - 3\/11. Let p = 10 - 11. Which is the fourth smallest value?  (a) i  (b) -0.2  (c) p  (d) -2\/63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 59 + -63. Are w and -0.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o\/(((o*o*o**(-12))\/o)\/o*o)*o*o*o**6\/o)**(3\/4) assuming o is positive.\nAnswer: o**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:40 PM and 7:01 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1784 is divided by 956.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**2 + 3*z - 2. Let t be (-1)\/(-13) - 8\/104. What is y(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/5 or 0.105368?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d + 3 - 2*d + 15 + 2*d. Let u(t) = -2*t**2 - 11*t + 34. Let m be u(-8). Is 6 a factor of y(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 2*(-2 + (1 + sqrt(200) - sqrt(200))**2 + 1)*6*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 1168410.6506 to the nearest ten thousand.\nAnswer: 1170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*u**2 - 19920350*u - 19841017206125.\nAnswer: -5*(u + 1992035)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 168 + -107. Suppose -g = -3*c - a, -5*g - c + 44 + 197 = 0. What is the highest common factor of g and 343?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8*f**2*z**2 + 257*f**2 - 2*f*z**2 + 2*f with respect to z.\nAnswer: 16*f**2*z - 4*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -43924, -87754, -131584, -175414?\n\"Answer: -43830*o - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**21*j*j**(-3\/26))\/(j*j\/(j\/((j*j\/j**(-8\/7))\/j)*j))**(-47) assuming j is positive.\nAnswer: j**(22313\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q + 2*r + 2*r + 12, 0 = 5*q + 5*r - 45. Let y = -7 + q. Let b(d) = -80*d**3 - 2*d**2 - 3*d - 1. Is b(y) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 3, -3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 2*l = -6 + 4, 0 = -35*l + 38*l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n + 2*n + 2*z - 52, n + 4 = -4*z. Suppose n = f - 6. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/(-3) + 2 + 0. Suppose -4*v = -0*v - 8. Suppose 4*m - v*u - 22 = 0, w = -m - 4*m - 3*u. Solve -3*r + 26 = 5*j, -2*r + m*j - 4 = 2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -2, -3, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 22 + 3 + (-3 + 0 + 4)*(3 + 0 - 2))*(-2 + x + 2)*(0*x - 3*x - 2*x) to the form p + a*x + o*x**2 and give o.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/23 or -1?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4072378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h - 10627*n - 31 = -10631*n, 3*n - 24 = -4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:38 PM and 8:21 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2078058 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a + 18 = -p, 0*a - 6*a - 27*p = -14*a + 7*a - 95 - 61 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*(b*b\/(b**5\/b))\/b)\/(b*b*b\/(b*b**(-3\/7)))*(b\/(b\/(b*b\/b**(2\/3))))**(2\/5) assuming b is positive.\nAnswer: b**(-409\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (74 - 89) + (-34 + 17 - -5).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 2)*(2*j**2 - 2*j**2 + 5*j**2) + j**2 + 1 - 1 + 2*j - 14*j**2 - 66*j**2 - 157*j**2 + (-1 + 1 - 3*j)*(-j - 3*j + 2*j).\nAnswer: -240*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 25*g**2 + 76*g + 2. Let o be z(-3). What is the closest to 0.11 in -4\/5, -0.04, o, -0.1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the first derivative of t**4\/4 + 16*t**3\/3 - 11*t**2\/2 - 23*t + 17. Let s be j(-13). Suppose -s - 2750 = -11*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 - (-6 - (-12 + 7 - -5)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-2*sqrt(13)*2 + 3)**2.\nAnswer: -1302 + 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = b - 3*b + 5*y + 20, 5*y + 20 = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 minutes before 6:26 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -45\/464 and 73\/464.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f + 2*q + 98 - 51 = 0, 5*f - 2*q = 23 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1358 + 3152. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 2*w + 3 - 12 = 0, -12 = 4*r - 4*w. Let k be r\/(-1*(-1 - 0)). What are the prime factors of -2*((-5)\/k + 2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 40\/(-16)*1\/(20\/(-24))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4915 at least as big as 4915?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1117*s - 2 + 2440*s + 5 - 33 - 1147*s to the form b + c*s and give b.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1130*a**4 + 3698183*a + a**5 + 8593*a**2 + 3*a**3 - 3698183*a wrt a.\nAnswer: 60*a**2 + 27120*a + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2022 - -11002?\nAnswer: 20101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.007875 years in centuries?\nAnswer: 0.04007875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5821 + -3557. Suppose 3 = 3*r, a = 3*k - 4*r - 462. What is the common denominator of (k\/180)\/((-1)\/(-3)) and 50\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 65*b**2 + 99*b**2 - 357*b**2 - 1384 - 45 wrt b.\nAnswer: -386*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10732 - -75122\/7. Put w, -0.95, -4, 3, 1 in decreasing order.\nAnswer: 3, 1, w, -0.95, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -118470, -237104, -355738?\n\"Answer: -118634*o + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -38 + 101. Let z = -24 + n. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 5*j - 5 = 60, 0 = -y + 3*j + 25. Calculate the highest common factor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 719.0185 + -719. Let k = -30662.6815 + 30640. Let w = f - k. Round w to the nearest integer.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 3*b. Let l(v) = 57*v + 3*v**2 - 57*v. What is c(l(n))?\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 5*f - 11 = 0, 2*u + 2*f = -2*u + 44. What is the remainder when 79 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:50 PM and 6:49 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -112 (base 3) in base 7?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 4, n: 1, w: 1, m: 2}. What is prob of picking 2 m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -144, -594, -1338, -2370, -3684, -5274?\nAnswer: -7134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the first derivative of -z**5\/30 + 7*z**4\/24 - 5*z**3\/18 - 7*z**2\/12 + z + 1617. Factor f(i).\nAnswer: -(i - 6)*(i - 1)**2*(i + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 115*y**3 - 7*y + 6. Let p be a(1). Solve -g = -2*s - p + 122, 0 = -4*g + 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -21412580 by 5353145.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20068435 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 4, u: 6}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -15036 by 716.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 356 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -51*m**2 - 6*m + 10. Suppose a + 60 = 5*p, 0 = p + 5*a - 4*a - 6. Suppose 0 = -p*j + 5*j + 24. Let n be c(j). Round n to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 27002, 2, 3, -3.\nAnswer: -3, 2, 3, 27002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8599, -10116, -11651, -13210, -14799, -16424, -18091, -19806?\nAnswer: -21575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*t = -7*t - 10 + 4. Solve 0*a = t*a + 4*c + 24, 3*c + 9 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5092 + 4918. What is the nearest to 1\/9 in x, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 25*c**2*r**3 + 1177*c**2*r**2 + c**2*r - 22*c**2 + 103196*c*r - 42*r**3 wrt c?\nAnswer: 50*r**3 + 2354*r**2 + 2*r - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -19 + 30. Differentiate -2*n**4 - l*n**2 + 5 - 4*n**4 + 11*n**2 wrt n.\nAnswer: -24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.8 + 0.5. Let o = 1.11 + 49.89. Let u = o - 47. Which is the biggest value?  (a) u  (b) w  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1780 and 3.\nAnswer: -5340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 5252, 21121, 47586, 84641, 132280, 190497?\n\"Answer: -a**3 + 5304*a**2 - 36*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7123602 != 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 674234 and 57824437?\nAnswer: 17743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/((-3)\/(-3)))\/(6\/228).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -242.6, -28, 6\/5, -3 in decreasing order.\nAnswer: 6\/5, -3, -28, -242.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4245 is divided by 482.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, 0.1, 32, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xjl when three letters picked without replacement from {z: 4, j: 6, x: 4, l: 4}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 + -11010?\nAnswer: -10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*h + 361*h = 21455928. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 712 divide 1817890504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 19*f - 17. Let z(n) = -13*n + 11. Let m(p) = -44*p + 709. Let s be m(16). Determine s*o(i) + 8*z(i).\nAnswer: -9*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k**2 - 6*k + 8. Determine u(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -153*k = -172*k - 95 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z = -5*h - 3, -6*z + 5*h + 12 = -5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 22 - 33202?\nAnswer: -33120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, -2\/3, 5, 3, 18, -87\/4, -1 in descending order.\nAnswer: 18, 12, 5, 3, -2\/3, -1, -87\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(-2)*f**(-10))\/((f**2*f)\/(f\/f**(-4\/3))) assuming f is positive.\nAnswer: f**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -28  (b) -3\/4  (c) 0.4  (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:08 AM and 10:44 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1, 104, 32 in decreasing order.\nAnswer: 104, 32, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1474+12\nAnswer: 1486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 7 - (-10 + 35) - -17. Is t less than -2\/14837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12 (base 7) to base 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1998 - 1995. Solve -j*d + 4 = d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -373*m*q*t**3 + 3*m*q*t**2 + 2*m*q*t - 10*m*t - q*t - t**3 wrt t?\nAnswer: -2238*m*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 49 = -f + 5, 1 = f. Suppose 2*w - q = -w. Suppose -5*c + 3 = d - c, -5*d = -3*c - w. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 9.969424l?\nAnswer: 9969.424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (238 - 4*x**3 - 238 - 2*x**4)*(-1 - 1 - 2) - x + 2*x**4 + x.\nAnswer: 10*x**4 + 16*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 203*q - 131 + 135 = -199. Let p(k) = 20*k + 14. Determine p(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes before 1:55 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*k + 3151 = -3821. Solve 13*y + k = 410 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13\/3 - 11\/3. Let g = 0 + 0.4. What is the nearest to f in g, -2\/5, -1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4739\/3 - -1558. Find the common denominator of u and -137\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -7*z**2 - 335*z + 48. Give v(-48).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 7020524*k. Let b(i) = -i**2. Calculate b(m(t)).\nAnswer: -49287757234576*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 - 111?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bwrbawbawwrwbba. Give prob of picking 1 r and 3 a.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 12 and 313?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4 - 2)\/24*-2. Let g(o) = -9*o**3 - 5*o**2 - 4*o. Let v be g(-2). Let n be 288\/v - (3 - -1). Which is the biggest value?  (a) h  (b) 0.5  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide 3255684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 5\/(-1)*((-2)\/(-45))\/1\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 154 = 29. Is w a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -2. Let p(l) = -362*l - 28. Determine -28*j(z) + 2*p(z).\nAnswer: -724*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*z**2 + 2175*z - 2180.\nAnswer: 5*(z - 1)*(z + 436)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -2 + 4 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.058 + -0.068. What is the closest to -2 in 0.2, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrtertrtthruhbtrb. What is prob of sequence hh?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 519*q**3 - 14*q + 2*q - 547*q**3 wrt q?\nAnswer: -168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 4*i**2 - 4*i + 2. Let q(o) = -8*o**2 + 7*o - 5. Determine -7*j(f) - 3*q(f).\nAnswer: -4*f**2 + 7*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence urj when three letters picked without replacement from {r: 4, u: 2, j: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -61, -74, -73, -52, -5?\n\"Answer: g**3 + g**2 - 23*g - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 81\/2 of a century?\nAnswer: 48600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/44 and -61\/1880.\nAnswer: 20680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 708 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -16*f**2 + 144*f + 103. Give l(10).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3638209 milligrams to kilograms.\nAnswer: 0.0000003638209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 561 is divided by 185.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 95 is divided by 36?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 418 minutes after 9:27 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**3 + 14*y**2 + 39*y + 76. Let f be t(-11). Suppose 2*z = 3*z - 45. What is the highest common factor of z and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/5 - 12*(-1)\/105\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 5 = -5*q + 15, 2*q - 4 = 2*c. What is the least common multiple of q and 49?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 460 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f + 3*u + 8 = 0, 0 = f + 5*u - 4 + 1 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -476 + 498. Calculate the remainder when 371 is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2 - c)*(26 + 17 + 10)*(3*c + c - c) as z + r*c + x*c**2 and give x.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 54*f**2 - 47*f + 1. What is j(2)?\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 72917 by 2.\nAnswer: 72917\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((1008\/(-480))\/((-2)\/(-4)))\/(3\/(-10)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8*v**3 - 36*v**2 + 2*v - 33782.\nAnswer: 24*v**2 - 72*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.262 and 0.07.\nAnswer: -0.01834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 287425 (base 10) to base 8.\nAnswer: 1061301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r - 56 = -6*s, -71784*r - 2*s = -71789*r - 101 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5612 is divided by 1675.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gsdddsdgaadda. What is prob of picking 1 g and 1 d?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and -3529.7541?\nAnswer: 1411.90164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 39*g - g**2 - 47*g - 3 + 5. Calculate c(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -615.4 rounded to the nearest 10?\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 2*l**2 - 29*l + 11. What is w(14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 655918 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -30 - -42. Calculate the greatest common factor of 132 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15967 - 9761 = -586*q - 218*q for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -91\/451632 and -53\/197589.\nAnswer: 3161424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -60*g**2 - 13*g - 275. Suppose -3*t + 14 = -4. Let u(c) = 15*c**2 + 3*c + 69. Let x(h) = t*a(h) + 26*u(h). Differentiate x(r) with respect to r.\nAnswer: 60*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -217*h**3*y**2 + h**3*y + 15343*h**3 - h*y + 15*y**2 wrt y?\nAnswer: -434*h**3*y + h**3 - h + 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 125 and 231950?\nAnswer: 1159750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-1635)\/(-1962)*120\/(-250))\/(12\/7)\nAnswer: -7\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that -n**5\/5 - n**4 - 2*n**3\/5 + 14*n**2\/5 + 3*n\/5 - 9\/5 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**2 + 10986*m - 131544.\nAnswer: -2*(m - 5481)*(m - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in 56, 1, 3\/7, -1044, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 148348793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the first derivative of -f**3\/15 - 17*f**2\/10 - 16*f\/5 + 46. Let s(m) = 0. What is m?\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1242047950557 - -1242047951513.999998471. Let n = z + -957. What is n rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3022\/3*((-39)\/(-26) - 0).\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 7 and 0.02678.\nAnswer: 0.18746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -2*q**2 - 4*q - 1. Let k(o) = 3*o**2 + 7*o + 3. Let i(s) = 3*k(s) + 5*n(s). Determine i(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3389456964529\/3372 - -1005177047. Let o = -1686631\/5152416 - 1\/18336. Let j = o - n. Find the common denominator of 101\/14 and j.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/((-60)\/(-2218)) - (-2)\/360*12?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:00 PM and 12:48 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2305766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the second derivative of i**5\/4 - 57*i + 16. Let j = -3 - -4. Determine q(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 41118357\/((-5)\/5) - -1*1. Let p = r + 18518356. What is p rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 21 - 21. Suppose 0 = -c*p - 2*p - 18. Let y(o) = -o - 4. List the prime factors of y(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 360405\/60 + (-1)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 + (-3 - -3))\/((-3)\/45). Calculate the highest common factor of d and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 6, g: 3, l: 2, x: 4, a: 3}. Give prob of sequence llxa.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1, 191 in decreasing order.\nAnswer: 191, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_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: Let h = 79 - 75. Suppose 4*s + 3*l = -s + 24, 3 = 3*s - 2*l. Let z be (6*s - 0) + 2. What is the greatest common divisor of z and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3\/21*2 - (-1168)\/28) + -3. Let a be 0 + (-11)\/((-22)\/156). Calculate the greatest common divisor of a and m.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 + (24\/6 - -1). Solve -2*b + t = 7, -6 + 0 = -3*b - v*t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/49?  (a) 0  (b) -93.4  (c) -1\/6  (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 - (21 - ((-25 - (10 + -25)) + 59)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 696\/7 <= 99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the second derivative of -u**5\/20 + 11*u**4\/6 + 8*u**3\/3 + 3*u**2\/2 - 38*u - 1. What is the hundreds digit of z(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 41699 - 41699.30977. Let f = -22 - -21.69. Let b = f - g. Round b to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 103 is divided by 83?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 59898512 to the power of 1\/3, to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*v + 31*v + 11*v.\nAnswer: 47*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33789279 is divided by 280.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.279 minus 0.1126?\nAnswer: 1.1664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 32 = 2*i - 9, -29 = -3*o + 5*i. Suppose -s - o*g + 14 = g, 5*s = -4*g + 22. Solve 0 = -0*w - s*w + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 - 4. Suppose -z*s + s = 15. Let k = s + 3. Which is smaller: -3 or k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.4  (b) -6\/7  (c) 0  (d) 0.5  (e) -3\/8  (f) -1356\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -312012 divided by 9.\nAnswer: -34668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*l**2 - 534*l + 11229 = 0. Calculate l.\nAnswer: -197, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = 2*x - x + 12, 0 = 4*m + 20. Suppose 0 = -x*b, 3*b = -0*p - 4*p + 396. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -31011323 (base 4) in base 10?\nAnswer: -53627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10760989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/1 + (-14 - -59). Let m = -27 + l. Suppose -4*d + 49 = -o + 4*o, -3*d = -o - 53. Is d >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 901, 904, 907, 910, 913?\n\"Answer: 3*l + 898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 47671 - 29426. Calculate the highest common factor of 205 and j.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1110001010000011000 (base 2) to base 11.\nAnswer: 297594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 81.242 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5787 and 6975264?\nAnswer: 1929","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**2 + w + 4. Let s be p(-2). Let r be 12\/(-2) + (-4 - s). List the prime factors of -6*r\/(-36) - (-914)\/6.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 12085 + -5065. Does 54 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3194 divided by -3?\nAnswer: 3194\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1692 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1471, 2954, 4435, 5914?\nAnswer: 7391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/((20\/5)\/4). Let w = a + 1. Sort w, 1, 0.\nAnswer: 0, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10100111100011110 - -10010?\nAnswer: -10100111100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 300156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/6 - 52\/(-39). Let c(t) = 6*t**h - 10*t**2 + 14*t**2. Let n(x) = 3*x**2. Determine c(n(v)).\nAnswer: 90*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put together -152 and -77381.\nAnswer: -77533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (30\/(-245)*7)\/(((-12)\/21)\/((-3)\/33)).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 599427*f**2 + 643008*f**2 + 657565*f**2. Let c = -21 - -19. Let d be z(c). What is d rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -3\/23  (b) -3  (c) 4  (d) 1\/3  (e) 1  (f) -10  (g) 4.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(432) + 0)*2 - (sqrt(432) - (-2*(1 + sqrt(432)) - sqrt(432)) - sqrt(432)))**2 + 4 + (sqrt(432) - (0 + sqrt(432))) + 2)*2.\nAnswer: 96*sqrt(3) + 884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -3*y + 4. What is the remainder when i(-16) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -5*t**3 - 206*t**2 - 432*t - 37. Calculate w(-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -230 - 213 + 152*l - 28*l + 443.\nAnswer: 124*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 10534, 10478, 10406, 10318, 10214, 10094, 9958?\n\"Answer: -8*v**2 - 32*v + 10574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1ea + 1b?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -36174 - -7?\nAnswer: -36168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 259684 is divided by 143?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 9\/10 of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 7 = 4*k. What is the units digit of (-16)\/(-4*k\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1  (b) 0.09  (c) 4\/7  (d) 1\/2  (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in thirty-four fifths of a century?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (4\/18 - 2001\/(-1566)) + 1016\/16 is divided by 47.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/3 - 88\/(-6). Suppose -3*k + m = -3*h, -2*k + 5*h + 17 = -2. What is the first derivative of 8*b**2 - k*b + 3 + 2*b - 13*b**2 wrt b?\nAnswer: -10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 693\/(-99)*((-4)\/(-12))\/((-21)\/(-54))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-7)\/4 + 2)*12. Let h(x) = 2*x + 20. Let i be h(-8). Suppose -3*j + 9 = 0, i*l + g*j = 6*l - 1301. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 100*k - 2267 + 6067 = -22*k - 30*k for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 53876441 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r**2 - 4*r + 4*r)*(267 - 3297 - 1016).\nAnswer: 4046*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**3\/5 + 124*h**2\/5 + 1802*h\/5 - 1924\/5.\nAnswer: -2*(h - 74)*(h - 1)*(h + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -181, -135, -5, 251, 675, 1309, 2195, 3375?\nAnswer: 4891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2 - 0) + -1 - 9. Let g(j) be the first derivative of j**4\/4 + 8*j**3\/3 - 2*j**2 - 11*j + 13. Does 11 divide g(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 + -4 + 2 + 4. Suppose -153000 = s - x*s. What is s rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000945935 to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t - t + 5*m - 19, 4*t - 4 = -2*m. Is t\/((-2)\/(-230)*-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 29 - -3. What is the greatest common factor of 128 and q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -222*a = 428*a - 266881550. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -464*f - 103616 = -1110*f + 2406*f + 1478*f for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4537 + -4537.05777. Let m = 53 + -53.058. Let n = m - t. What is n rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**2 - 31*v + 94. Let w = -239 + 206. Calculate the remainder when ((-405)\/(-6) - -2)*2 is divided by x(w).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12 - 4*x + 6*x + 3 - 5.\nAnswer: 2*x + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 7194340 to the power of 1\/3, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/2673 and -88\/22815.\nAnswer: 2258685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -17*s + 44*s - 93393. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-147)\/(-6)*((-4080)\/105)\/68.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -256, 39, 4, 7 in decreasing order.\nAnswer: 39, 7, 4, -256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**1*f)\/f)**21)**(-3\/35)*(f**(-1))**(2\/3)*((f**(-1)*f)\/f)**(-5\/17) assuming f is positive.\nAnswer: f**(-554\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.09133 and 0.05917086.\nAnswer: -0.03215914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 + 1)*(5 - 2 - 1)*(-15 + 5 + 0)*(2*q + 0*q + 0*q).\nAnswer: 40*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -114*n**2*w**3 - 29*n*w + 7*w**3 wrt n?\nAnswer: -228*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3\/15)\/((-12)\/(-240)). What is the third smallest value in -1, 2\/7, 0.1, s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert e8c77 (base 15) to base 16.\nAnswer: b4502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 14835 + 14?\nAnswer: 14850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 101059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3382 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 48\/(-36) - (-148)\/3. Let f = x - 32. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-2\/7)*(o*o**(-2)*o)\/o)\/((o*o**4*o*o)\/o*o**(-6)\/o*o))**22 assuming o is positive.\nAnswer: o**(-198\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 9 = -2*l, 5*l + 0*o - 7 = -3*o. Suppose i + h = -4*h - 14, -4*i + 2*h + 32 = 0. What is the highest common divisor of l and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1987, 8502, 19537, 35086, 55143, 79702, 108757?\n\"Answer: -y**3 + 2266*y**2 - 276*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 815ad (base 14) to base 7\nAnswer: 2434206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*w**6 - 59*w**5 - 433*w**3 + 547*w**2 + 87*w.\nAnswer: 240*w**3 - 3540*w**2 - 2598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the second derivative of 11\/6*g**3 + 17*g**2 + 14*g + 0. What is the derivative of b(m) wrt m?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 729 divided by 5.\nAnswer: 729\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.03 in 74, -2, 1\/4, -69, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 83641686.3 to the nearest 10000.\nAnswer: 83640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 3791305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 19  (b) 4  (c) -3  (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 a factor of 37567537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -34023 * -0.2\nAnswer: 6804.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-3\/17)*l**(-2\/51) assuming l is positive.\nAnswer: l**(-11\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(-4)*-1)\/((-168)\/(-64))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1042 + -1041.69. Which is the closest to -0.1?  (a) -1\/4  (b) i  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the second derivative of -g**7\/735 + g**6\/210 - g**5\/210 + g**2\/2 - 6*g. Let i(t) be the first derivative of l(t). Suppose i(y) = 0. What is y?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6651, 6664, 6677, 6690?\nAnswer: 6703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1.3876  (b) -1\/5  (c) 0.0864  (d) 2\/15  (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*s = 21*s + 30. Suppose s*b - 388 = 63*g - 67*g, 0 = 4*g - 4*b - 388. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 15, -0.055, 9, -0.04, 2.\nAnswer: -0.3, -0.055, -0.04, 2, 9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1051220 (base 7) to base 15\nAnswer: 2883e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -19 + (54 - 18) + -12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19, -3\/5, 5, -1, -0.3 in decreasing order.\nAnswer: 5, -0.3, -3\/5, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2913 = 9*k + 816. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2080.24 - -1954. Let o = 0.24 + q. Let r = o - -126.079. What is r rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange m - 2*m + 3*m + (-9 + 9 - 16*m)*(-2 + 3 + 7) + 0*m + 2*m - 3*m to the form t*m + q and give t.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 48*q + 24. Let b(t) = -25*t - 12. Let f(g) = 5*b(g) + 3*x(g). Is f(2) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-109*d - 210*d - 43*d)*(-2 + 1 + 2) to t + s*d and give s.\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -1\/5181917?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -55\/72 and -95\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 7*q = -20. Suppose 44*m - 4*r + 76 = 46*m, 2*m - q*r - 100 = 0. Sort 5, m, -4 in decreasing order.\nAnswer: m, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(119) + 2*1*sqrt(119) - (sqrt(119) - (sqrt(119) - 5*sqrt(119)*2) - sqrt(119)))\/(sqrt(77)\/(sqrt(33)\/(1*sqrt(3)))).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is j in j**5 + 1242*j**4 + 400302*j**3 + 9131836*j**2 + 70693329*j + 181731690 = 0?\nAnswer: -609, -10, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -14393d + 173?\nAnswer: -1437aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k = -190387*j + 190179*j - 419, -j + 3*k - 5 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -271 + 280. Let h(o) = -o**2 + 23*o - 107. Calculate the remainder when 75 is divided by h(r).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 628*0.102.\nAnswer: 64.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0 + 12\/(-18))\/(4\/6). Let j be f*(-4)\/10 - (-198)\/30. Suppose a = -j*a + 16. Solve a*l - 2*r = 0, 3 = 2*l - r - 4*r for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -8.2 and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -25*b**2*f - 139228*b**2 - 456*b*f + 145*b - f wrt b?\nAnswer: -50*f - 278456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -0.8*0.243899\nAnswer: -0.1951192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 562 is divided by 77?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 74532.\nAnswer: 2, 3, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the third derivative of 0 - 1\/8*d**4 + 1\/2*d**3 + 5*d - 1\/60*d**5 - 2*d**2. What is b(-6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 2, a: 3, y: 6, u: 3, d: 3}. Give prob of sequence qyyy.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y + 0*y + 3*y)*(33 + 48 - 10)*(y + 3*y - y).\nAnswer: 213*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23 + (-63 - 1) - -126.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -16611 - -23622. What is the greatest common divisor of 171 and t?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(-3)*(1 - 4). Let x be (1 - q)\/(2 + -1). Let w = 1 - x. Let l(v) = v**2 + 2*v - 1. Calculate l(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.783 + -0.017. Let j = 3.8 + u. What is the second smallest value in 5, 1\/2, j, -2\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 143*y + 20819. What is c(-134)?\nAnswer: 1657","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 42683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1334 + 1349. Suppose 4*c - 3 = 173. Calculate the remainder when c is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 310337 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 66*k**3 + 66*k**3 - 193*k**3 + 0*k**3 - k**3 + 2*k**3 + (-3 - 2*k**2 + 3)*(-k + 2 - 2) + 2*k**3 - 2*k**3 - k**3.\nAnswer: -59*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3051286781 to the nearest integer?\nAnswer: 55238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2157577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**2 + 5. Let t = -152 - -93. Let c = t + 55. Determine n(c).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5*h**3 + 37*h + 300 wrt h.\nAnswer: 15*h**2 + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60840 + 3222064 = -4*m. Let d = m - 89447. Let u = d + 279753. What is u rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 + 7. Let d(q) = 1 - z + q + 2 + 2. Let u(c) = c**2 - 5*c - 7. Calculate 5*d(j) + u(j).\nAnswer: j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v. Let g(w) = 5417*w**2 - 11. Determine q(g(t)).\nAnswer: 5417*t**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 137 = -4*l, -4*l - 144 = -6*b + 2*b. Let o = l - -40. Solve i + o = 9 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -c*m*n*u**2 - 3*c*u**2 + 2*c - m - 8*n*u**2 - 12*n*u with respect to c.\nAnswer: -m*n*u**2 - 3*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1 + (-1 - (-5)\/1). Suppose u - 14 = s*u. Let o = u + 10. Solve -i = o*i + 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 59\/7 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1468 a factor of 36196476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*t + 52 = m - 0*m, -2*m + 0*m - 7 = -9*m for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:39 AM and 12:06 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -44762000 to the nearest 100000.\nAnswer: -44800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-19)*g*g**(-1\/25) assuming g is positive.\nAnswer: g**(-451\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 + 5. Let i be 2 + v\/9*0. Suppose -i*p - 5 = -27. Solve -3*d = 5*s + d + p, 3*s + 17 = -5*d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y - 3*l - 7 = l - 1, -468 = -158*y + 20*l - 22*l for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 15 - 4*t**2 - t**3 - 2*t**2 - 6 + 7*t. Let q(a) = -a**2 + 3*a + 3. Let l be q(5). What is the units digit of c(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2625, 2626, 2627, 2628, 2629, 2630?\nAnswer: 2631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 368 rounded to the nearest ten?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17, 41, 79, 125, 173, 217, 251, 269?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/(-2)*(5 - 1). Suppose 0 = -j*v - 5*g + 94, 4*v - v - 95 = 4*g. Calculate the remainder when v is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 98763?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79 + 21 = 5*t - 2*w, -3*t + 60 = -4*w. Suppose 4*d = -t, -2*f - 2*d - 176 = -3*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q\/(q*q**(1\/3)*q)))**(7\/12)*q**(-4)*q*q*q**(1\/7))\/(q\/q**(-1\/2)*q*q**0*(q*q**0)**(-43)) assuming q is positive.\nAnswer: q**(10081\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k**3 + 18*k**2 - 20*k - 24. Let y be x(-19). Let t(u) = -u**3 - 5*u**2 + 3*u. What is t(y)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4\/5, -0.09, -7?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.01 and 10.6134.\nAnswer: -0.106134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -23884, -93688, -210036, -372934, -582388, -838404, -1140988?\nAnswer: -1490146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -99*m - 101*m - 96*m - 97*m + 395*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 89673 is divided by 846?\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 105927 = 2*d, 0 = 40*d - 45*d - z + 264810. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 26 + 15*a - 6*a + 91 - 16*a + (3 + 0 - 2)*(0*a - 7*a - 3*a) + 2*a - 5*a + a in the form u + q*a and give u.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 104*i - 30 = 102*i. What is the highest common factor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (869 - (-8)\/2)*124\/4?\nAnswer: 3, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -2\/3, -0.3, -0.05, -1\/190?\nAnswer: -1\/190","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t - 3*o + 27 = 0, -22*t + 9*t - 89*o + 94*o - 17 = -12*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-8)\/(-10) - 0)\/((-4)\/(-10)). Determine r so that -30*r - 5*r**2 + 8*r**2 + 3*r**t - r**2 + 40 = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2593 is divided by 1810?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -61*i - 127*i - 16*i + 962 + 262 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -47 - -52. Factor -5*c**2 + a*c**3 + 6*c - 11*c + 9*c**4 - 4*c**4.\nAnswer: 5*c*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 549541 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 3*a + 6 = 0. Suppose -h - 1 = 0, 42 = a*d + h - 80. Suppose 4*u - d - 39 = 0. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14*n - 66 + 66)*(2*n**3 - 6*n**3 + 2*n**3) + 0*n**4 + 0*n**4 + 3*n**4.\nAnswer: -25*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 4*l - 114 = -31, -4*g + 88 = 4*l. Let v(k) = -k**3 - 2*k**2 + 7*k + 5. Calculate the remainder when g is divided by v(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23960 rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*f**2 + 4002*f + 200 = 0. Calculate f.\nAnswer: -100, -1\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 216 is divided by 116?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from teootttttetttoeeote?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1920)*1 + 5*sqrt(90)\/sqrt(3))\/(sqrt(110)\/(sqrt(22)\/sqrt(2)) - (1*sqrt(490) + sqrt(10) + sqrt(10))))**2.\nAnswer: 507\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 - 2 + 1)*(-3*t + 5*t + 0*t) - 4 - 2*t + 4 + (2*t + t - 2*t)*(2 - 1 + 0) - 2*t - 2 + 2 - t + 0*t - 3*t)*(7*t**3 - 20*t**2 + 20*t**2).\nAnswer: -35*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4681.355 + -4683. Round f to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 20\/(-8)*(-44)\/5. Suppose n - 5*k + 37 = 5*n, q = 3*n - 2*k. Suppose 2*v + n*p - 3*p + 375 = 0, -3*p = -3. Round v to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16)\/((-33)\/44*8).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 1 = 3*w + f, -2*f = -4*w + 26. Solve 0 = 3*g - 2*g + 2*x, -4*g - w*x - 4 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -13638*n + 300432. Calculate j(22).\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 149044150.\nAnswer: 2, 5, 2980883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.1  (b) -8  (c) 0.607  (d) -4\/5  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ubgaz. What is prob of sequence zu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65 = 6*w + 53 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eobsobebbqeoqbqseb. Give prob of sequence eqeo.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 1221 divide 14452977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -25322 (base 6) to base 10\nAnswer: -3794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*f**3 + 5*f**3 - 3*f**3)*(124606 - 62021 - 62261).\nAnswer: -324*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nxxxrpuxur. Give prob of sequence rxrx.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -180 - 100. Suppose -1765 = -t*b + 979. What is the third smallest value in 0, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in seven sixths of a hour?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*(j\/(j**21*j*j))\/j*j)\/j)\/j**(-2\/63) assuming j is positive.\nAnswer: j**(-1384\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 52445, 209779, 472003, 839117, 1311121?\nAnswer: 1888015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-1*sqrt(1377) + -1)**2 + sqrt(1377) + 5*(sqrt(1377) + 1)**2.\nAnswer: 117*sqrt(17) + 8267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/287*(8 - 7). Let z = f + -556\/2583. Let d be 2\/8 + 3\/(-12). Which is the closest to d?  (a) -2\/7  (b) z  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let c = 119.877 + -120. Let q = c - -0.023. Let b be ((-6)\/36)\/(2\/6). What is the nearest to b in 0.5, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by -9404\nAnswer: -3\/9404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 2 w when three letters picked without replacement from xxxwwwxxxxx?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1118*o + 1 + 334*o - 324*o)*(4 + 4 - 4).\nAnswer: -4432*o + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.141?  (a) -10  (b) -2\/21  (c) 1  (d) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -33.213 + 0.513. Let o = a + 41.275. Let c = o - 8.2. Round c to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 723 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.012262058288 to five decimal places.\nAnswer: -0.01226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 4, q: 5, i: 10}. What is prob of sequence ipi?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m - 3*u - 29, -m = -3*m - 2*u - 12. Suppose 5*v = -6*v - 44. Let w be 3*v\/60 + m\/(-5). Solve -w*x + 4 = -0*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51*a - 10 = 50*a + 6*y, 2*y - 18 = -5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 196*h + 621 + 751 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -98 in -1\/16, 0.67, 91?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-22)\/(2 - 0)*-1. Suppose -5*h - y = -20, -3 = 2*h + y - c. Suppose h*w - 8*w + 8 = 0. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/2  (b) -2\/9  (c) -5  (d) 11268  (e) 3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*9\/(-72)*4*7\/(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**5\/p)\/p*p\/((p**(-2\/9)*p)\/p)*(p*((p\/((p**(6\/7)*p*p*p)\/p*p))\/p)\/p)\/p*p*p\/p**(-5) assuming p is positive.\nAnswer: p**(401\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (12 - 320\/(-8)) + -29?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -21*m. Let b(c) = -45772*c + 45772*c - 4*c**2. Determine g(b(r)).\nAnswer: 84*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2 + 0 + -3 + 12\/10. Suppose 2*v - 6*v = 0. Is h less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11352296*p**2 - 8798754*p?\nAnswer: -22704592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2320*l - 2356*l = 4*y + 1096, 2*y = l + 22 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 5240580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n\/(n*n*n**(-4\/7)\/n)*((n**(-4)\/n*n)\/n*n)\/n*(n*n**(-2))\/(n*n*n**(-1\/6))*((n\/((n*n**(-2))\/n))\/n**(1\/10))\/(n\/(n**3*n*n)*n**(3\/5)) assuming n is positive.\nAnswer: n**(-101\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: (((-674)\/(-3033))\/(4\/18))\/((-1)\/(-45))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 24\/(-36) + 10\/(-3). Let y(r) = -r**2 - 3*r + 9. Let f be y(p). Which is the nearest to 2\/5?  (a) 4  (b) f  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -1. Let k(n) = -5*n + 10. Let a(b) = -k(b) - s(b). Let h be a(3). Let v(q) = -2*q + 5. Calculate v(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1200 + -1213 - (-2 + 1 + 15)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 166*m + 288*m + 4086 = 0 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1745*h + 8 - 12*h**2 - 1745*h)*(14*h**2 + 0*h**2 + 15*h**2).\nAnswer: -348*h**4 + 232*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1055353986 rounded to three dps?\nAnswer: -0.106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (336 + ((-40)\/4 - 2))*(-2)\/(-51). Which is smaller: c or 14?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 8*q - 5*q. Let u(k) = -k**2 - k. Let o be u(q). Suppose 0 = -n - o*n + 24. What is the greatest common divisor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2099 = -5*w - o - 0*o, -1262 = -3*w + 2*o. Let l = w - 330. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6\/5291 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -12 - (-15 + 12 + -2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -90*h + 5*h**2 + 90*h - 3*h**2. Let y(f) = 9*f**2. Determine y(s(z)).\nAnswer: 36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*i + 149*i**2 + 3*i + 122*i**2 + 1 + 3033*i**3 - 1516*i**3 - 1515*i**3 in the form h*i + o + r*i**3 + q*i**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(4\/35*-14)\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1609 and 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/48*-9*(3 - -1). Suppose -s + 108 = h*s. What is the lowest common multiple of 15 and s?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y + 4*s = -47, 2*y - 3*s - 4682 = -4645 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 234401, 234403, 234405?\n\"Answer: 2*n + 234399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/5*(-2 - (-51 - -6)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1123281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -659375, -1318747, -1978119, -2637491, -3296863?\n\"Answer: -659372*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -4*h - 26. Let j be g(-10). Let r = -2 + j. Let k be 11\/4 + 1\/4. What is the greatest common divisor of r and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50184.\nAnswer: 2, 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -390*k**2 - 30818*k - 632 = 0.\nAnswer: -79, -4\/195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -2*c - 5. Let w(y) = y + 4. Calculate 4*a(v) + 5*w(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4, 27, 64, 115, 180?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 3*s**3 - 3*s**2 + 11*s - 8. Let k be c(4). Is 3 a factor of (-2)\/(-14) + k\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(5324) + 2*sqrt(5324)))\/(sqrt(44)\/((sqrt(11) + sqrt(176))*4 - sqrt(11))).\nAnswer: 3762*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 61843 by -4404.\nAnswer: -61843\/4404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.755495 to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 606261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (28\/(-35))\/((-2)\/5). Suppose s + 0 = -w. Which is the nearest to 2\/7?  (a) -4  (b) -1\/3  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 1.73  (b) 1\/5  (c) -16\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c - 2*c**2 + c)*(-5 + 5 + 1)*(-5*c - c - 2*c).\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9135556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2965449160 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -658, -1293, -1928?\nAnswer: -2563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -1. Let q(i) = 2. Let m(n) = q(n) + 3*r(n). Let a(y) = y**2 + 5*y - 5. Let h be a(-6). Let x(g) = g + 4. Calculate h*x(z) + 6*m(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 882 a factor of 321048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 2*22811443\nAnswer: 45622886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -8*t - 4. Let w be r(-3). Suppose d - 4*j + w = 0, -4 = 4*d - 2*j + 6. Solve 3*c + d = 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 181998 is divided by 725.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -3*i. Let h(c) = -196*c + 112. Let p(x) = -2*x + 1. Let z(f) = -h(f) + 112*p(f). Calculate z(y(g)).\nAnswer: 84*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**2 + 9*q - 5. Let l be i(8). Suppose l*o - 5*r = 59, -48 = o - 3*o - r. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -2*v - 3. Solve v*w + 3 = -w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -u + 2*j, 5*j + 50 = 3*u - 33. Let f be ((-64)\/(-8))\/16*(-552)\/(-2). Suppose -29*b = -u*b + f. What are the prime factors of b?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 201*k**3*s**2 + 284*k**3 - 86785*k*s**5 - 2355*k*s + 13*s wrt s?\nAnswer: 402*k**3 - 1735700*k*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -178046.1 + 178046. Let j = 2.98 + 0.02. Which is the fourth smallest value?  (a) q  (b) 2  (c) -5  (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10210255 is divided by 1279?\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 640986.46544459 minus -25?\nAnswer: 641011.46544459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(726) + (sqrt(726)*2 - sqrt(726)) - sqrt(726)) + sqrt(726) - sqrt(6) - sqrt(486))\/(-5*-1*sqrt(200)))**2*-6.\nAnswer: -648\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 126*d - 4. Let i be r(5). Suppose -317 = g + i. Let o = 1957\/2 + g. Calculate the common denominator of -83\/2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhhhhhkhhkhhhhhk. Give prob of picking 3 h and 1 k.\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5810 - 5805. Sort -1\/617, -4\/3, v, -9\/5 in decreasing order.\nAnswer: v, -1\/617, -4\/3, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.0408 - 3.0408. What is the second smallest value in 16, 5, l, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 85904 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -12043616 + 1517478301\/126. Let d = -1204\/9 - k. What is the common denominator of 29\/4 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4 - 2*f**3 - f**3 + 6*f - f**3 + 2*f**3.\nAnswer: -2*(f - 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (-4 + -11 - 6 - -12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.5013065 + 42656?\nAnswer: 42645.4986935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -5 + (172\/(2\/(-1)))\/(-1). Solve -r = 27*d + 27 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + 13 + -12 + 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is c0 - 0?\nAnswer: c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -668 or -141787?\nAnswer: -141787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-171)\/45 - ((-3828)\/(-165) + -26)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*b - 109 + 165 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 560316 - 2*r**3 + 560269 - 1120585.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 127792 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 17 = 7*k. Let m = -2\/1461 + 42379\/7305. What is the common denominator of ((-62)\/48 + 4)*k and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -19117782 + 36?\nAnswer: -19117747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 13\/(-65) - (-1)\/5. Suppose 3*t + t - 48 = k. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**3 + 20*p**2 + 23*p - 41. Let n be o(21). Let b(r) = r**2 - 13*r + 9. Let h be b(9). Is (n - h)*(-154)\/(-56) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 32586?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.54 times 7.9192?\nAnswer: 20.114768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 699 = 501. What are the prime factors of 5\/15 + (2 - r\/6)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 55.2 - 55. What is the closest to m in -3, -0.2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -85\/3 less than -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.92 + -0.08. Let f be ((8\/(-9))\/((-212)\/159))\/((-16)\/6). Sort f, 8, j.\nAnswer: j, f, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 79, 394, 695, 976, 1231, 1454, 1639, 1780?\nAnswer: 1871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iixiooiioooiiio. What is prob of sequence ox?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w + 4*w - 2*w)*(6321*w**2 + 4621*w**2 - 2560*w**2).\nAnswer: 16764*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 9\/47  (b) -0.3  (c) 0.5  (d) -80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**3 + 7*b**2 - 7*b + 8. Let o be l(6). Let m = 2204 + -2201. Suppose j = -o*j, -m*h - 3*j + 501 = 0. Does 17 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48869926 to the power of 1\/4, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - 8\/8) + -10*(2 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -2*m**2 - 1537*m - 22814. Calculate i(-15).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 3\/8  (b) -4  (c) 5  (d) 0.19967\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 3 + 0*n + 2*n)*(-8*n + 6*n - 19*n + 5*n + 445*n**2) as c*n**2 + q*n**3 + l + u*n and give q.\nAnswer: 890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8351 + -8331. Which is smaller: u or 334\/17?\nAnswer: 334\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2*s - 3)*(-130*s + 130*s - 20*s**3).\nAnswer: -40*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 12 or 1115\/3?\nAnswer: 1115\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.14244 - 1368?\nAnswer: -1369.14244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -7542.3 to the nearest 100.\nAnswer: -7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 + -10. Let s = 16 + -13. Is 2 a factor of ((-6)\/m)\/(s\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 4979, 39909, 134721, 319355, 623751?\n\"Answer: 4990*y**3 + y**2 - 3*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 4\/71 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 11553 (base 6) in base 8?\nAnswer: 3275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 - 95 = -95*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.1*-0.053.\nAnswer: -0.0583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(1295\/(-35) + 38)*37?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -3*c + 5*y + 2, -2*y = -4*c + 10. Let k be ((2 - 3) + -1)*-4. Suppose o = -c*o + k. Solve 2*r = 2, 0 = 5*v + o*r + 2*r - 19 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1, 3, 3, -7, -33, -81, -157, -267?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 612517123?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96*o - 99*o + 75 = 0. Find the second derivative of -50*w - w**2 - 4*w**5 + o*w + 23*w wrt w.\nAnswer: -80*w**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10450 (base 10) to base 13.\nAnswer: -49ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 + 34 + -42 - 41?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 + 5. Let q = h + 4. Solve q + 0 = o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1077 and 4.9488.\nAnswer: -1072.0512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -3*b + 1161, -4 = -3*t + 2. What is the third derivative of -385*u**3 - 9*u**5 - u**2 + b*u**3 wrt u?\nAnswer: -540*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes before 3:30 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2470 + 4160. Suppose 3*l + 73 = -3*d + f, -2694 = -5*d - 4*l. Calculate the remainder when d is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 14*k + 1. What are the prime factors of m(1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 5 - (-6)\/(-9)*3. Suppose 3*v - 2 - 7 = -5*y, 4*v - 5*y - 47 = 0. Solve -v = g*r - r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 12\/(-10)*10\/(-3). Let h = w + -1. What is the third derivative of -z**2 - h*z**2 - z**5 + 5*z**2 wrt z?\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -60057856*h - 11869254 wrt h?\nAnswer: -60057856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the third derivative of c**5\/600 + c**4\/40 + 2*c**3\/15 - 5*c**2. What is p in z(p) = 0?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/29627 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -72*y - 652*y - 4 + 4.\nAnswer: -724*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14001\/158326 - -57\/526. What is the common denominator of k and 17?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-8)\/50)\/(6\/5). Let n = -1 - -5. Suppose n*s - 3 = 5*j, 2*j + 3 = 3*s - 2*j. Sort s, m, 2.\nAnswer: s, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*g - 50. Let a be ((-72)\/(-20) + -4)*10. Which is greater: g or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.7 - 0.764. Let v = -208.0671 - -208. Let c = g - v. What is c rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23736823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 321473?\nAnswer: 563, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = 5*d - 3. Let v = 709\/144 + -46\/9. Let z = v + -5\/16. What is the second smallest value in d, z, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1999114 is divided by 999348?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 times 2349?\nAnswer: -469.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 + 1)*(1 + 0 + 14)*((2*l + 1 - 1)*(0 - l + 0) + (l + 3*l - 5*l)*(-4 + 4 + l)).\nAnswer: -225*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000001013 to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14*l**2 - 4*l**2 + 4*l**2 + (3 - 3 + 1)*(-l + l + 2*l**2))*(-2*l - 21*l + 88*l).\nAnswer: 1040*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2194069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 33.3 and 144.341?\nAnswer: 4806.5553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -3*v + 853, -v - 8*o + 280 = -4*o. Suppose 5*h = k + v, 4*h - k = h + 170. What is the lowest common multiple of 18 and h?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -714 + 714.877. Let m = o + 0.043. What is m rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((-2 + sqrt(700))**2 - sqrt(7))*6 + (-3*sqrt(14)\/sqrt(2) + 1 + sqrt(112))**2 + 1.\nAnswer: -12663 + 740*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48081 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8\/7 in -23, -0.3, 1, -2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2294504 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 33, 3.4, 0.5, -0.01, 3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2613)\/201 + (-6268)\/(-2)?\nAnswer: 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000124259 to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -792 - -689. Are -105 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 - 62 = 3*z. Let a = z - -32. Which is smaller: a or -1\/100?\nAnswer: -1\/100","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes before 2:37 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 1, -5, 3, 4, 132 in descending order.\nAnswer: 132, 5, 4, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(275) + 0 + sqrt(275) + sqrt(275)*-3 + sqrt(275))**2 - (-1 + 3 + 2*sqrt(11) + sqrt(11) + -3 + sqrt(11))**2.\nAnswer: -177 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -215 + 214.9999998524. What is t rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 12.15 + -27.73. Let d = -15.6 - f. Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 133 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - (-7 + -7) - (13 + -15)) + 3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t - 37*t + 3885. Is t a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 69389\/3?\nAnswer: 69389\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**4\/5 + 6*t**3\/5 - 8*t\/5.\nAnswer: -2*t*(t - 2)**2*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**3 + 3*a**2. Let f be ((-2)\/(-6) + -1)*(-72 - -66). Let p(d) = -d**3 + 0*d + 0*d - 4*d**2. What is f*m(j) + 3*p(j)?\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*p**3 + 24*p**4 + 5*p - 12*p**4 - 2 - 13*p**4 - p as y*p + z*p**2 + l*p**4 + s*p**3 + g and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence srrn when four letters picked without replacement from {y: 6, s: 2, r: 3, n: 2, w: 1, v: 1}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (22 - 12 - 11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 595262 and 2542.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = 194 + 261. Let f be 0 - ((-104)\/m)\/(4\/14). Put -8, f, -5, 1 in descending order.\nAnswer: 1, f, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1180908, -2361823, -3542738, -4723653, -5904568, -7085483?\nAnswer: -8266398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(21)\/sqrt(63) - ((-1*sqrt(18))\/sqrt(6) - sqrt(3))) - (sqrt(243) - (-5*(0 + sqrt(243)) - sqrt(243)))*3)**2.\nAnswer: 91875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 392 divided by -5?\nAnswer: -392\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*b**3 + 140*b**2 + 925*b + 1330.\nAnswer: 5*(b + 2)*(b + 7)*(b + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-18)\/(-1)*(0 + 6 + -5). Suppose 18 = -4*b + p. Solve 2*w + b*w = -10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 941, 909, 1101, 1505, 2109, 2901?\nAnswer: 3869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + c = 37592, -a + 30*c = 29*c - 18787. List the prime factors of a.\nAnswer: 18793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the second derivative of l**4\/12 + 7*l**3\/3 + 47*l**2\/2 + 3*l + 1. Let a be w(-5). Let c be 2\/(-4)*(-3 + 1). Which is bigger: a or c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (330\/(-231))\/(-1 + (-15)\/(-21)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**2\/3 + 254*n\/3 + 173096\/3.\nAnswer: -(n - 562)*(n + 308)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 + 4c?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes before 10:36 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**2 - 4*u + 3. Let g be y(2). Let m = 4 - g. What is the highest common factor of 45 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1011*s**2 - 925*s?\nAnswer: -2022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 143 + -69 + -6 + -53?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the second derivative of 2*u**4\/3 + 17853*u. Let y(i) = 2*i - i - 5*i. Calculate y(m(q)).\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 323573417*b**3*h**3 + 3*b**3*h**2 + 10*b**2 + 22254*b wrt h?\nAnswer: 1941440502*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -62885*x**4 - 2*x**2 - 114346 with respect to x.\nAnswer: -251540*x**3 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 4291.19894 to 1 decimal place.\nAnswer: 4291.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express ((4 + 0 - 3)*(-8 - 3 + 1)*(-4 + 1 + 2) + 4 - 3 + 1)*(-5*n**4 + 0*n**4 + 4*n**4) in the form y*n**2 + c*n**3 + z*n**4 + d*n + w and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the third derivative of -y**8\/168 - y**5\/10 + 8*y**2. What is the third derivative of f(l) wrt l?\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -669.6194971 to two dps.\nAnswer: -669.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -4, 0 = -l - 4*n + 11 - 0. Let f = l - 3. Solve 5 = 3*k + 5*u, -f*u + 5 = -5*k + u for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + n + 0*n = 0, 0 = -2*n. Let f be (-1 - 3) + (-25)\/(-5). Let m = 16 + -12. Put v, m, f in decreasing order.\nAnswer: m, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*c - 2*c**2 - 32*c + 16*c + 7*c.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**2 - 4*h + 1. Let y(m) = m**3 + 3*m**2 + m. Let i be y(-2). Suppose 0 = -i*a + 2 + 6. Let b be (3 - a)\/(3\/(-12)). Determine q(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 - 40\/(-21))*(-65)\/(130\/84). Let s(k) = k**2 + 5*k - 2. Let x be s(-5). Put 3, q, 18, x in descending order.\nAnswer: 18, q, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -2*t. Let n(s) be the first derivative of -11*s**6\/360 + 7*s**3\/3 - 6. Let m(b) be the third derivative of n(b). Determine m(u(p)).\nAnswer: -44*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, -1241, -1 in increasing order.\nAnswer: -1241, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -0.2, -404\/9, 2\/3, 6 in decreasing order.\nAnswer: 6, 2\/3, -0.2, -1, -404\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**3 + 5*q**2 - 2*q - 8. Let r be l(-5). Let b(w) = -4*w - w - 1 - w**2 + w. Let a be b(-3). Solve r*v + 2 = -a for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 48005 in -1\/10, -0.2, -2, -2\/9, -1?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 74830\/((-168)\/12) + -3. Is -5348 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -442 + 313. Let p = l + 156. Suppose -4*q + 9 + 3 = 0. What is the highest common factor of p and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2611324061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zqy when three letters picked without replacement from nunuaayzuqnznu?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (322\/1127)\/((2\/(-2))\/7)*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*g*g**(-2\/5)))\/g*g*(g*g\/(g*(g\/g**(-3))\/g*g)*g)\/g*g assuming g is positive.\nAnswer: g**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -62\/1299 and -1\/10392?\nAnswer: 10392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**3 - 3*o**2 + 10*o - 58. Let p be f(5). What is the greatest common factor of 8 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*r**5 - 18370*r**4 + 51934*r**3 + 27538*r**2 - 51946*r - 9168 = 0. Calculate r.\nAnswer: -1, -1\/6, 1, 3, 1528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6 and 20478.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1966935 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3113 and 18112?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(112))*-2*-3)**2 - (1 + (-5*(0 + sqrt(7) - sqrt(7)) - (sqrt(112) + sqrt(7) + 2)))**2.\nAnswer: 278*sqrt(7) + 3892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*x + 2076 = 26*x. Which is smaller: x or -337?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*x + x + 0*x)*(45 + x - 33 + 227).\nAnswer: -4*x**2 - 956*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.11 + -0.21. Let p = q + -0.5. Let z = -0.09 - 0.01. Which is the second biggest value?  (a) 4  (b) z  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -54 + 21. Suppose -2*r - 10 = -5*b, -b - 3*b + k = -r. Solve -4*z = b*h + 4, 5*h - 4 = 2*z + 2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*g + 0*g + g)*(0*g + g - 2*g) + 3*g**2 - 4*g + 4*g + 2*g to a*g + j*g**2 + w and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 7*j = 5*h - 85, -4*h + 66 = -2*j. Let n be (-4 - (-84)\/h)*728. What is n rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16533023 is divided by 1091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the first derivative of -5*d**3\/3 - 7*d**2\/2 - 6. Find the second derivative of a(n) wrt n.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 1. Let b be 99\/(-44)*(-16)\/(-6). Let l(y) = -6*y - 10. Let i(m) = b*c(m) - l(m). Differentiate i(z) with respect to z.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 681267?\nAnswer: 3, 227089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16826?\nAnswer: 2, 47, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 9\/(-3)*-3 - 2. Let u(r) = -5*r - 10. Let z(m) = -6*m - 11. Let o(d) = q*u(d) - 6*z(d). Determine o(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -16*z - 562. Let h be d(-36). Suppose -3*a - h = -4*r, -4*a + 0 = r + 6. Suppose 30*c**4 + 9\/2*c**3 - 33*c**r + 3 - 9\/2*c = 0. What is c?\nAnswer: -1, -2\/5, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -3\/4, -2\/15, -4, 1\/901, -0.07?\nAnswer: 1\/901","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9, 18, 41, 84, 153, 254, 393?\nAnswer: 576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -5*r**2\/2 - 139283155*r - 3879959453350805\/2 = 0.\nAnswer: -27856631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 283*f - 284*f + 2*p + 5 = 0, 0 = 3*f - 3*p - 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, w: 4}. Give prob of picking 1 w and 1 r.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the first derivative of 5*r**6\/2 + 15*r**3 + 2*r + 115. What is the third derivative of o(j) wrt j?\nAnswer: 900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*-302\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2427\/((-7 + 9)*12\/16)?\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**2 - 628*l - 8549. Let n be w(-14). Solve -n*i + i - 368 = 0 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 19.86535 centuries?\nAnswer: 23838.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**1)**(-4\/3)\/(z**(-2\/9)*z**7) assuming z is positive.\nAnswer: z**(-73\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.5 + 2. Let x = 57 + -57.74. Let q = 0.84 + x. Is f smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 78\/(-18)*-1*9. List the prime factors of (-3)\/2*(15 - i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14 * 631\nAnswer: -8834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 7315.071 meters?\nAnswer: 7.315071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 39, 21, -93, -351, -801, -1491, -2469?\nAnswer: -3783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1 - 0)\/((-5)\/(-215)). Let k = f - -48. Suppose -4*q - k*q = -3033. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3*(-2)\/(-15))\/(9\/(-11475)). What is the highest common factor of k and 204?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-160)\/(-25))\/(2\/5). Solve 4*o + 32 = 4*x + 4, -a = 4*o + 2*x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2746 + 16912*k**2 - 2746.\nAnswer: 16912*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 15 - 8. Let d = b + -12. What is the nearest to 2 in -0.5, 3, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -27669 divided by -3\nAnswer: 9223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-16*u + 34*u**2 + 16*u)*(4*u**2 - 4*u**2 + 4*u**2).\nAnswer: 136*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*o + 11*o = -19*o - 550 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 3*z + z + 4, -5*z = -4*y + 1. Suppose -z*j = -4 - 2. Let g = -228 - -233. Solve -j*o = -3 + g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17783 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2814\/11 - -47860\/187. Which is the closest to -1\/5?  (a) f  (b) 2  (c) -1\/3  (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 592102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p + 2 - 23 = -3*w, -8*w + 2*p = -26 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 876.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**4 + 33*m**3 - 114*m**2 + 156*m - 72.\nAnswer: -3*(m - 6)*(m - 2)**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-35)\/((-30)\/(150\/5))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and -252034?\nAnswer: 756102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9)\/((-315)\/14))\/(40\/(-150))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -488*r + 2137 = 185 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 5*w - 3. Suppose 4*a - w*o + 5*o - 36 = 0, -o - 6 = -a. Let p(m) = -m - 5. Let k(j) = 7*j + 21. Let b(i) = -k(i) - 6*p(i). Give b(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**2*w*w\/(w**(-2\/3)\/w)*w)\/(w*w*(w\/w**(1\/3)*w)\/w)**(-27) assuming w is positive.\nAnswer: w**(227\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1306.1925 and -1402.3?\nAnswer: 96.1075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a**2 + 10*a + 8. Give d(6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 40 + 18 + 4 - 19?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1031013203 + 1032?\nAnswer: -1031012111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 2*i = -s + 5, 0 = -3*i + 2*s + 11. Solve -i = 4*j + 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15886?\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 24229378 bigger than 121146887\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -109613968 divided by -16?\nAnswer: 6850873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -5*n**2 - 28*n - 52. What is f(-2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**3 + 7*i**2 - 5*i - 1. Let g be s(6). Suppose 0 = -0*l + 5*l - 25. Let y(k) = 4*k**2 + 5*k + 163 - 158 - l*k**2 - 2*k. What is y(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 81 + -18. Suppose -59 + k = x. Solve -h + x = -0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-18)\/(-130)*(-140)\/(-315)*405\/(-216)\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*c - 945 - 135. Suppose 655 - 107 = 4*z. Let v = c + z. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 3*k**2 - 122*k + 630. Calculate i(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26593 and 55020.\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the first derivative of -12 - 2\/5*r**2 + 1\/5*r**4 - 4\/15*r**3 + 4\/5*r. Factor d(b).\nAnswer: 4*(b - 1)**2*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes before 5:33 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8.3 + -8. Let q = -4498.6 - -4498.6. Which is the smallest value?  (a) -9  (b) -15  (c) q  (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 - -9*(6 - 20\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 668890060?\nAnswer: 2, 5, 19, 163, 10799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 1562224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**2 - 39199*q + 1294656.\nAnswer: -(q - 33)*(q + 39232)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {v: 3, k: 6, p: 1, f: 1, u: 1, n: 4}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2645 + -2633. Suppose -2*n - 4*w = 8, 0*w - 5*w = -n + 17. Suppose -n*b = -5*y + 59, -4*b = -0*b - o. What is the highest common divisor of y and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is g in 2 + 3\/2*g**2 + 3*g + 1\/4*g**3 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1433a4 (base 15) in base 3?\nAnswer: -1211102110201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a + 2*f = -21, 3*f = a - 2*a - 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + h - 361250 = 0, -9*h = -9*x - 8*h + 812819. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-210)\/168)\/(14\/(-336)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 37 and 2479.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:14 PM and 5:56 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -58 + 1255?\nAnswer: 1197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 47205 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 u when two letters picked without replacement from ejcckekksuksucs.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-26))\/f*f**22)\/(f**(-1\/29)\/f**(-43)) assuming f is positive.\nAnswer: f**(-1362\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1257 = -14*w + 983. What is the lowest common multiple of w and 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -18260683, -36521365, -54782047, -73042729, -91303411?\n\"Answer: -18260682*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 964493, 964494, 964507, 964538, 964593, 964678, 964799?\nAnswer: 964962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*k**4 - 1 - 5*k - 3*k**4 - 46*k**3 - 3*k**4 + k**2 - 3*k**4 + 47*k**3 as o*k**2 + h*k**4 + p*k + s + n*k**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 210 - 30 - 56 - 124 + 175*g**3.\nAnswer: 175*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**3 + 35*i**2 - 21*i - 3. Let v(o) = 3*o**2 - o + 1. Let b(g) = -7*v(g) + y(g). Determine b(13).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4490669189.\nAnswer: 4490669189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**2 - 3*r - 3. Suppose -2*q - 4*y - 20 = 0, 15 = 7*q - 11*q - 3*y. What is x(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-13)*m)\/(((m*m**(2\/5)\/m)\/m)\/m)*(m*m\/m**(-1\/13))\/(m\/m**(-2\/23)) assuming m is positive.\nAnswer: m**(-14068\/1495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 188 + 180384?\nAnswer: 180583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 28, -1\/7, -2, -1, 33, 13\/23 in decreasing order.\nAnswer: 33, 28, 13\/23, -1\/7, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 2 = -0*d, 60 = 2*u - 3*d. Suppose r - 7 = u. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -4*f, -i - 12 = -5*f + 4. Let d = -1 - -1. Solve 3*l + 21 - i = d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(80)*-6 + -2*sqrt(605) - sqrt(605)*2*5.\nAnswer: -156*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 251487653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12 - -112023101300?\nAnswer: 112023101222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 523315 is divided by 174433.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 72864383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -768*v**2 - 18 + 18.\nAnswer: -768*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66) - sqrt(66)*5)\/sqrt(6)*-6.\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -6048, -6047, -6046, -6045, -6044?\n\"Answer: i - 6049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -99, -300, -859, -1956, -3771, -6484, -10275, -15324?\nAnswer: -21811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 4*i + 3*b = 3127, -4*b + 9381 = 3*i. List the prime factors of i.\nAnswer: 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*u - 3*u - 2*u + (6 - 3 - 1)*(2*u + 2*u - 7*u).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 5b35 (base 15) in base 4?\nAnswer: 10233020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 23*c - 49. Let t be x(2). Put 1, t, -77, 5 in ascending order.\nAnswer: -77, t, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**3 + 22926*y**2 - 12467997*y + 37197576.\nAnswer: 3*(y - 507)*(y - 3)*(y + 8152)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -54*x + 21 - 34*x - 5 - 15.\nAnswer: -88*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1314?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from omymmoyyyoymy. What is prob of sequence mmyy?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16543, -16541, -16539, -16537, -16535, -16533?\nAnswer: -16531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -1. Let a(q) = -2*q + 4. Let t(n) = a(n) + 4*f(n). Let b(r) = 6*r. Give b(t(s)).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1310 - 4?\nAnswer: -1314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/(-184)*-14*(-44)\/(-77). Sort 1.2, n, -2 in decreasing order.\nAnswer: 1.2, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 120807680 to the nearest 100000.\nAnswer: 120800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 34*g = 32*g - 10, -20 = -4*x + 4*g. Factor x*t**4 - 1\/3*t**5 + t**3 + 2\/3*t**2 + 0*t + 0.\nAnswer: -t**2*(t - 2)*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 9716*p + 1. Let o(f) = f. Give o(z(r)).\nAnswer: 9716*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -15 + 10. Let b be 0 + (-1)\/(0 - -1). Let a = 60 + -59. Sort x, b, a.\nAnswer: x, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 + 7 + -21 + 44?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -41*l**2 - 396*l - 13. Give m(-8).\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*v**3 + 10545*v**2 - 21075*v + 10535 = 0. Calculate v.\nAnswer: 1, 2107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**8\/(x**(2\/7)\/x)*(x**1)**(-26) assuming x is positive.\nAnswer: x**(-121\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 249 is divided by 62?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 42 and 16848612.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*d**3 + 2*d**3 - 7*d**3 + (0 - 1 + 4)*(-26*d**3 + 5*d**3 + 10*d**3).\nAnswer: -43*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the second derivative of -53\/2*n**2 + 0*n**4 + 2*n + 0*n**5 - 1 + n**6 + 0*n**3. Differentiate j(t) with respect to t.\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 23, 62, 91, 104, 95, 58?\n\"Answer: -j**3 + j**2 + 43*j - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -33345, -33362, -33389, -33426?\nAnswer: -33473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60*r - 110*r + 53*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -0*m + 12. Suppose -o - 5 - 7 = -4*x, 2*o = -4*x + 24. Suppose -r - m = -4*v, 4*v = 5*r + v - x. Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q - 5*v + 146, 2*q = -0*q + 4*v + 134. Suppose -q = -0*s - 3*s. What is the highest common divisor of s and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 2 = -0. Let c(x) = x - 1. Let h(g) be the first derivative of -g**3\/3 + 2*g**2 - 5*g - 5987. Give u*h(p) - 5*c(p).\nAnswer: -p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((sqrt(110) + (2*sqrt(110)*-1 - sqrt(110)))\/sqrt(2))\/(2*sqrt(180) - sqrt(245)*-1).\nAnswer: -2*sqrt(11)\/19 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.9573596 milliseconds to weeks.\nAnswer: 0.000000003236375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the first derivative of -2\/3*j - 11 + 2\/3*j**2 - 2\/9*j**3. Factor h(o).\nAnswer: -2*(o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*g = 162 + 68 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/3 + 29\/(-3). Let i be g\/(-6) + (-18)\/4. Let n be i\/18 + 8\/12. Is n bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14\/35)\/(21\/15).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -38*h + 648. Let t be i(17). Which is the closest to t?  (a) 0.6  (b) -3  (c) 2  (d) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/(s*s\/(s**(2\/5)*s)*s)*s)\/s**11)\/(s*s**(2\/11)\/s*s\/(s\/(s*(s**(-2\/11)*s)\/s))))**(-5) assuming s is positive.\nAnswer: s**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -170 by 1376.\nAnswer: -85\/688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((6\/(-168))\/((-8)\/(-32)))\/((-2)\/4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, q: 2}. Give prob of picking 2 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 74 divide 47435110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -756 divided by 7.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1110 - 1000001010?\nAnswer: -111111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1536 and 342432?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12666, 50948, 114750, 204072, 318914?\nAnswer: 459276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 47087488 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -334*a + 662*a - 332*a - 57.\nAnswer: -4*a - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2, 1, 64, 1504?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17164*v - 35037*v + 17920*v.\nAnswer: 47*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**3 + 9*y**2 - y - 7. Determine j(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 10 + -2 - (-202 + 208). Solve -3*j - 21 = -2*w, -3*w + c + 7 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 5*u - 18 = 0, -2 = -3*m + 4*u + 2. Suppose 10 = 5*l - 2*t - 18, -4*t = m*l. Solve j = -l*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-3*sqrt(684) - sqrt(57)\/(sqrt(3)*-1)).\nAnswer: -17*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 279.3883 rounded to the nearest ten?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a - 402 = -2*a. Suppose 3*l = -4*o + 221, -4*l + 4*o + 103 = -a. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-c**3 - 2*c**3 + c**3)*(-4 + 4 + 2 + (0 - 1 - 1)*(-4 + 1 + 1) + (13 - 1 + 3)*(16 + 19 - 42)) to the form l*c**3 + m + j*c + y*c**2 and give l.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1 + (-27710095)\/(-85) + (-6)\/51. What is c rounded to the nearest 10000?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 18 - (-4 - (1 - 13)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 90 and 64404?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(19) + (sqrt(19) - (sqrt(19) + -3)) + -1 + 1)*3 + 3)**2.\nAnswer: 72*sqrt(19) + 315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((-28)\/(-1323)*9)\/((-9)\/108)\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/409814 and 43\/755?\nAnswer: 2049070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2463790772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**3 + 5*g**2 + 5*g + 3. Determine c(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o + 6*o**2 - 3 - o**3 - 2 - 1. Let v be u(6). Solve 4*g + 20 = -v*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 times -8284449\nAnswer: 2485334.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 161732.\nAnswer: 2, 40433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/11 + (-2364)\/66. Let s = 33 + z. Which is the smallest value?  (a) -0.3  (b) 2\/15  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*k + 0 + 0)*((-1 + 0 + 0)*(2 - 3 + 0) + 0 - 3 + 4 - 1 + 0 + 3) to the form b*k + m and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*g**5\/7 - 71538*g**4\/7 + 410896758*g**3\/7 + 187469640972*g**2\/7 - 953354226465*g\/7 - 379042671150 = 0. What is g?\nAnswer: -429, -2, 7, 12135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - 7 - -1) + (103 - 110)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -7218700 to the nearest one hundred thousand.\nAnswer: -7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1843176 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -731*i + 605*i - 3150 = 0 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes after 12:57 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*w = 16*w - 60. Let l be (-1 - 5)\/(1*-2). Solve 4*b - l = -w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 37 - 12*o**5 - 37 + (-4*o**3 + 6*o**3 - 3*o**3)*(2*o**2 - 5*o**2 + o**2) + (-o**2 + o - o)*(5*o**3 - o**3 - o**3) + 6*o**5 - 3*o**5 - 2*o**5.\nAnswer: -12*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9373*v**2 + 19457*v**2 - 4450*v**2 + (-2*v + v**2 + 2*v)*(2 - 3 + 2) + v + 2*v**2 - v + v**2 - 2*v**2 - v**2 to the form t*v + d + n*v**2 and give n.\nAnswer: 5635","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are 50000 and 50000 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 4*u**3 + u**2 - 5*u + 2. Let d(o) = -2*o + 60. Let y be d(29). Does 12 divide n(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6 or -46.271?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 378*c + 15488. Give t(-41).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 73 + 3 + (8 - (1 + -9 + 21)) + -13?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand i**3 - 4*i**3 + 2*i**3 + (-4*i**2 - 4*i**2 + 6*i**2)*(0 + 0 - 2*i) + 3*i**3 - 3*i**3 + 2*i**3 - 3*i**3 + 3*i**3 + 3*i**3 - i**3 + 3*i**3 - 5*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 9, n: 5, b: 5, i: 1}. Give prob of sequence noo.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -68 + 381\/5. Is o >= 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -24. Let v(x) = -17. Let l(s) = -2*d(s) + 3*v(s). Let q(c) = -3*c + 1. Let z(b) = -4*b. Let i(p) = 5*q(p) - 4*z(p). Give -3*i(f) - 5*l(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:48 AM and 10:41 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 7037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1609 - -1282?\nAnswer: 2891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 83 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 2203030002 (base 5) to base 16\nAnswer: 4844fc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -203 - -269. Let d be ((-19)\/(-7))\/(-1) - (-13 - -10). What is the biggest value in 1, d, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x - 76 = -56 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 22232.926 + -22270. Let l = 37 + o. Round l to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -10.68, -1\/4, 1, -2\/3 in increasing order.\nAnswer: -10.68, -2, -2\/3, -1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*d + 11 = 4*v - 18*d, -3 = -3*v + d. Solve 5*s - 2*c + 1 = -20, 0 = -c - v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 296212799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 104 and 377?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.539 + -0.56. Let b = -1.021 - g. Let u = -1 + -2. What is the second biggest value in 0.1, u, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 34 - 28. Suppose 0 = 3*b - f*b - 135. What are the prime factors of (-32)\/(0 + 10\/b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 233, 289, 359, 443, 541?\nAnswer: 653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1709 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*p - 3869 = -3071 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 5*r + 36 = -39, 2*r - 14 = -o. Let k be 6 + 168\/(-27) + (-364)\/(-18). Calculate the greatest common divisor of o and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (320\/(-300))\/(582\/(-485))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*z + 5*j - 255, 5*j + 6*j - 29*j = 5*z + 64*j - 4182 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2319 + -2317. Let k = -9 + 12. Let n(j) = j**3 - 4*j**2 + 3*j + 1. Let a be n(k). Solve -z = -a - w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2*b - 148947*b**2 + 4*b + 75400*b**2 + 67446*b**2)*(0 - 2 + 1).\nAnswer: 6101*b**2 - 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3692 is divided by 1761?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vjjojjsvsjvvvoovvb. What is prob of picking 1 j and 1 o?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -98*o + 221*o - 98*o = -100 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the first derivative of 5*b**2\/2 - 84. Calculate n(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 33*t**2 + 4*t + 10. Let z be c(-8). Suppose 8*g - z = 150. List the prime factors of g.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/630320 and -83\/315160.\nAnswer: 630320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4852*x**2 + 1117*x - 536*x - 581*x to o*x**2 + d*x + u and give o.\nAnswer: 4852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -142 - -145. What is the nearest to -0.1 in -71, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 606 + -275. What are the prime factors of j?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2468*v**3 + 13*v**2 + 114.\nAnswer: 14808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/5, -2\/3, 0, 39, -3.48, 3 in increasing order.\nAnswer: -3.48, -2\/3, -3\/5, 0, 3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = -9*g + 28. Find the second derivative of -g*c**2 + 10*c**2 + 13*c - 5*c**2 wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:38 PM and 8:43 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0456078612 rounded to 5 decimal places?\nAnswer: 0.04561","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 7*m - 25. Let j(h) = h**3 + 69*h**2 - 17*h - 1166. Let f be j(-69). Determine p(f).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*v + 16*v - 146 = -45*v. Solve t + 5 = 0, -17 - 4 = v*u + 3*t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -100095.3 - -4\nAnswer: -100091.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 657 minutes before 10:07 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(2673) + sqrt(165)\/(sqrt(5)*1))\/(6*sqrt(55)\/(sqrt(5)*4)).\nAnswer: -16*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -16*m + 7. Let w(x) = -80*x + 34. Let z(k) = 11*p(k) - 2*w(k). Differentiate z(n) wrt n.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p*p*p**(4\/7)))**(4\/3) assuming p is positive.\nAnswer: p**(-44\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -82346 (base 10) to base 14\nAnswer: -2201c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1645, 1543, 1439, 1333, 1225?\nAnswer: 1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qppp when four letters picked without replacement from {p: 12, q: 6}.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1111?  (a) 2  (b) 1  (c) -3  (d) -54\/25  (e) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -51, -2\/7, 132.\nAnswer: -51, -2\/7, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in d**2 - 747 + 469 + d**2 + 2272.\nAnswer: 2*d**2 + 1994","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in one tenth of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -53 at most as big as -1766?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 6, m: 1, e: 8, n: 3}. Give prob of sequence nn.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1330 divided by 35\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 - 2 = -3*j. Let u be 795\/30 - (6\/(-4))\/(-3). Let x be (-4 - -8)\/8*u. Solve -5*l = 3*y + x, -j*y - 7 = -3*y + 3*l for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 972552?\nAnswer: 2, 3, 7, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 266*h**2 + 14*h + 23. What are the prime factors of k(4)?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s**(1\/13)\/s*s)*s**3)\/(s**(-4)*s)**(-6) assuming s is positive.\nAnswer: s**(-183\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*d + 144 = 298 - 375 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 25\/44 - 3\/4. Let r = -0.29 + 0.09. Which is the closest to r?  (a) i  (b) -0.2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -3*p**2 + 28*p + 3. Let a(x) = x**2 - 7*x. Let v(k) = -4*a(k) - f(k). Calculate v(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2364*k - 43 - 2545*k + 4932*k)*(4*k + 3*k - 5*k).\nAnswer: 46*k**2 - 86*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(3\/5)\/(p\/(p\/p**(2\/5))))\/((p**(-2\/7)*p*p)\/p)**(-3))**(2\/69) assuming p is positive.\nAnswer: p**(164\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -62039, -62013, -61973, -61913, -61827, -61709?\nAnswer: -61553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4692 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2 + 545)*(14 - 15). Let s = -545 - f. Put s, 5, -7 in decreasing order.\nAnswer: 5, s, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -2  (b) 5.146  (c) 1  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12 and 516.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Do 6825\/109 and 63 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*l**3 - l**3 - 3*l**3)*(-4 - l + 4) - 4*l**4 + 3*l**4 + 3*l**4 + 27*l**4 - 13*l**4 + 2*l**4.\nAnswer: 17*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/9  (b) 11\/3  (c) 1121\/2  (d) -0.055\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/4 - 78\/(-180))*410\/(-984)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*b*t**2 - 2*b*t + 18*b - 218387*t**2 - 30*t wrt t?\nAnswer: 6*b - 436774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 113512 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {y: 4, l: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*v + 13 - 29. Suppose -5*k = -4*g - 1, -v*g + 8*k + 1 = 7*k. Let o(p) = -p - 1. Let m(d) = -2*d**2 + 10*d + 10. Calculate g*m(n) + 12*o(n).\nAnswer: -2*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 17729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8*u**4*y**2 - 703*u**3*y**3 - 19*y**3 - 470*y**2 + 2*y wrt u.\nAnswer: 32*u**3*y**2 - 2109*u**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 56 + -208. Let x = f + 153. Is 10\/3 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r**4 - r**4 - 4*r**4)*(1 + 3 - 2)*(-144 + 74 + 72)*(-2 + r + 2).\nAnswer: -16*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the second derivative of j**5\/2 - 3*j**4\/4 - 9*j. Find the third derivative of h(w) wrt w.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 56 and 128?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7 + -6.99986. What is h rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + -1 + -21 + (13 - (26 - 26)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-16)\/36*-1)\/2. Which is the second biggest value?  (a) 2\/19  (b) 12  (c) 2\/17  (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*d**3 - 2*d**3 - 3*d**3 - 3*d**2 + 3*d**2 - d**3 + (d**2 - d**2 - d**2)*(-3*d + 4*d + d) - 4*d**3 + d**3 + 2*d**3 - 13*d**3 - 253*d + 253*d.\nAnswer: -18*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c = -5*n - 5, c + 4*n = -5 + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -16*a**2 - 3. Let k(o) = 351*o**2 + 6*o + 71. Let f(q) = -702*q**2 - 14*q - 144. Let g(m) = -3*f(m) - 7*k(m). Calculate 3*g(x) - 65*u(x).\nAnswer: -13*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:54 AM and 2:12 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4*g - 2*g - 4*g)*(4*g**4 + g**4 - 3*g**4) - 2*g**5 + 18*g**5 - 10*g**5)*(0 - 4 + 2).\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 719302?\nAnswer: 2, 19, 23, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(1\/2)\/x)\/(x\/x**(1\/5))*(x**(1\/5)\/x*x)\/x**(-3))\/((x*x**(-2)\/x)\/((x*x\/(x*(x\/(x\/(x**(-1\/4)\/x)*x))\/x))\/x))**(-30) assuming x is positive.\nAnswer: x**(-778\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 272371 is divided by 78.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a\/(a\/((a\/(a\/(a\/((a*a\/(a\/(a**4*a)))\/a))))\/a*a)*a)*a)**11*a\/a**(-3)*a*(a*a**(-10))\/a assuming a is positive.\nAnswer: a**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v = -2*b + 34, -3*v - 110 + 26 = -40*b + 113 + 95 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**2 + 13*h - 9. Suppose -20*u + 12*u = 104. Determine y(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-2\/3)*q)\/(q**4\/q))\/((q**(4\/7)\/q)\/(q*q**(-1\/4))) assuming q is positive.\nAnswer: q**(-125\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 12*((-24)\/(-108))\/((-4)\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1212021 (base 3) to base 10\nAnswer: 1357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 - 6. Let k be 0 - z\/(-6)*10. Let f(r) = -3*r - 7. List the prime factors of f(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 208\/188783 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 41 + -37. Let d be 1\/4 - (-5)\/(-4). Let u(p) = -2*p**3 - 3*p. Let f(l) = -l. Let h(o) = b*f(o) + d*u(o). Find the second derivative of h(j) wrt j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes after 12:13 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -251*g + 4530*g - 442519 = -1468*g for g.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 3 + -2 + 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 209259198.30000011 + -209259225.3. Let s = o - -27. Round s to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8089*s - 197*s**2 + 4045*s + 4044*s - 2 to i*s**2 + k*s + c and give i.\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -55, -102, -157, -226, -315, -430, -577?\nAnswer: -762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -33376375 by 83.\nAnswer: -402125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/17?  (a) -3\/2  (b) 47  (c) 15122  (d) 1\/3  (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 697231515?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/6, -55\/9, -2\/3, 3 in decreasing order.\nAnswer: 3, -1\/6, -2\/3, -55\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the second derivative of -1233*i**5\/5 + 244*i**3\/3 + i**2\/2 + 169*i. Find the second derivative of v(z) wrt z.\nAnswer: -29592*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 1103490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from effzte. Give prob of sequence eftz.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 231 - 197.4. What is y rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4868, -4861, -4854, -4847, -4840?\nAnswer: -4833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + -1 - (-57)\/2*348\/(-2755)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**2 - h + 6. List the prime factors of o(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -4*t**2 - 130*t - 52. Determine a(-32).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*d - 16 - 16. Suppose 375 = 74*x - 3*x + 4*x. Put x, d, -9 in increasing order.\nAnswer: -9, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1064\/175 - 6)*(-5)\/(-1). Suppose r = 5*r - 148. Let x = 147\/4 - r. Which is the closest to x?  (a) 4  (b) 1\/4  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.386 + -0.786. What is the second biggest value in 4, -29, b, -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/28 of a week?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -145*m**2 - 25*m + 25. Let q(c) = 18*c**2 + 3*c - 3. What is -25*q(v) - 3*w(v)?\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 37\/332 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 299*x - 4023 - 1060 = 0 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**(-11))**6\/(f**(-7)*f**(-3\/8)) assuming f is positive.\nAnswer: f**(635\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t + 1. Let y(h) = h + 1. Let n(k) = -s(k) + y(k). Let u(j) = 65*j. Calculate u(n(c)).\nAnswer: 130*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-5)\/1*(0 + 1). Let l be (-14)\/(-10) - 15\/(-25). Let a = 147 + -146. Sort s, l, a in descending order.\nAnswer: l, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 199*c + 88*c + 51*c - 30888 = -58*c for c.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s + 59 = -i - 2*i, -528611*s - 31 = -528610*s + 4*i for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 65135499\/107440 + 1\/107440. Let n = h - 16383\/28. Is 22 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -892 = 8*b - 102*b + 48 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 60 divide 5828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**(2\/3))**8)**(1\/22)*a**3*(a*a**7*a)\/a*a**(-1)\/a*a\/((a*((a**6*a)\/a)\/a)\/a) assuming a is positive.\nAnswer: a**(185\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 15\/4 of a year?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2935 - -2939. Put t, -0.3, -12, -6 in descending order.\nAnswer: t, -0.3, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 220 and -2104739?\nAnswer: 2104959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 105954530 to the nearest integer?\nAnswer: 10293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 11351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3814791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*t - t + 6*t)*(-8*t + 6*t + 49*t - 1).\nAnswer: 47*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 8, r: 5, v: 4}. Give prob of picking 1 r, 1 q, and 1 v.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes after 8:54 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the second derivative of -t**5\/90 - t**4\/18 + 7*t**2 + 14*t. Let d(b) be the first derivative of o(b). Solve d(q) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 15 = 8*f. Solve j - 5 = 4*g - g, 12 = -2*j - f*g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2964 and 281331518.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 48709 = -5*r, 0 = -26*v + 29*v - r - 36508. What are the prime factors of v?\nAnswer: 3, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8 + -5. Let h be 2 + 0 - 4\/r. What is the nearest to h in -0.4, -3, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -18136658 by 9068329.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the second derivative of 11*m**5\/4 - 29*m**4\/3 + 102*m - 1. What is the third derivative of l(o) wrt o?\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53\/4 of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9334, 18685, 28032, 37375, 46714?\nAnswer: 56049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -570, -564, -546, -510, -450, -360, -234, -66?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4706\/(-8))\/((-6)\/(-16) - 0). Let f = s + 1588. Calculate the common denominator of 54\/35 and f.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -9 + 11*q + 2 + 1. Let c be h(6). Suppose 2*b = -2*x + 40, x = -2*b + 5*b - c. Solve 4*v + v - b = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 42429 divided by 30.\nAnswer: 14143\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 264288109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 336093 - 589093. What is y rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/(-3) - 4\/6. Let f(h) = -h + 2. Let u be f(o). Suppose 0 = u*n - 5 - 3. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13 - 13.05. What is the third biggest value in -0.1, -2\/5, i?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**2 - 3*s - 3. Let a be k(3). Suppose -w + 8 = 2. Suppose 2*p - 5*u + 6 = 0, p = -3*p + u + w. Put -4, p, a in descending order.\nAnswer: p, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**2 + 27*f - 31. Give c(26).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-1*sqrt(14))\/sqrt(2)*2 + 2.\nAnswer: -8*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 87331 is divided by 362.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 95 = 4*z - s, 2*z - 64*s + 59*s = 43. Find the third derivative of 4*a**5 - z*a**4 + 0*a**5 + 24*a**4 - 3 - 12*a**3 - 3*a**2 - 4*a**2 wrt a.\nAnswer: 240*a**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 43 * -0.03\nAnswer: -1.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 4067563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2279.7590913 - 5466.\nAnswer: -3186.2409087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 932 or 925?\nAnswer: 925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -3589*o + 14376. What is g(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the first derivative of j**4\/12 - j**3\/6 - j**2\/2 - 3*j + 1. Let n(a) be the first derivative of y(a). What is n(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.15 - 1.05. Let y = z - -0.6. Let n = -6 + 8. Put 4, n, y in ascending order.\nAnswer: y, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 + 705\/(-35))\/((30\/(-70))\/((-3)\/2))\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0015744554 to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 227801?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -4*h + 10. Let d be (4\/(-6))\/(h\/(-12)). Let l be (2\/d)\/((-2)\/4). What is the biggest value in -0.4, l, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 59 and 1545.\nAnswer: 91155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -23591*m + 255*m**2 + 23591*m - 4 as c*m**2 + s + n*m and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.031 in -3\/5, -10156, -4\/7, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 55573, 111046, 166519, 221992, 277465?\n\"Answer: 55473*q + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 35732041, 71464083, 107196125, 142928167, 178660209?\nAnswer: 214392251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1067.\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -17\/86081 or -1?\nAnswer: -17\/86081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43748 = -147*l + 21674 + 17076 for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10 by 26354.\nAnswer: 5\/13177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 14799, 14353, 13907, 13461, 13015?\n\"Answer: -446*g + 15245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-480)\/(18\/3)*(50\/(-5))\/(-20)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 0 + -1 + sqrt(33)\/(-6*sqrt(18)\/sqrt(6)))**2.\nAnswer: -sqrt(11) + 335\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/((-8)\/(-6)) - 75\/(-10). Suppose -3*f + 1946 = -2*z + 6*z, 3*f - g = 0. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l**4 + 12340924*l**3 + 259160580*l**2 + 1814126804*l + 4232965744 = 0. Calculate l.\nAnswer: -7, 3085252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -3*i**2. Let p(j) = -316*j + 29. Give p(o(z)).\nAnswer: 948*z**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -27 + 7. What is the second derivative of 65*t**d - 87*t + 1 + 25*t**5 - 1 wrt t?\nAnswer: 1800*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 1 = 2*p. Let z = -19 - -38. What is the remainder when z is divided by (-1)\/((-2)\/22)*p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xtte when four letters picked without replacement from xtxsxexesxxttesset?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 4*j**2 - j + 221641. Let c(x) = 3*x**2. Determine y(c(n)).\nAnswer: 36*n**4 - 3*n**2 + 221641","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/320 and (7\/32)\/(-4*50\/20).\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**2 + 6*r + 2. Let t be j(6). Let y = -4 - -9. Let l(q) = 2*q - 5. Let h be l(y). What is the greatest common divisor of t and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**2. Let h(s) be the third derivative of s**6\/90 + s**3\/2 + 2*s**2. Let r(p) be the first derivative of h(p). Calculate x(r(q)).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-155)\/62)\/((-20)\/1).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 76\/165 and -53\/110?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -10 + 6 + -1 + (1 - 3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 87*t + 209661 - 211662 = 0 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 10 + (2\/4)\/((-14)\/28). What is the third derivative of 38*m**2 + 8*m**5 - q*m**5 + 18*m**5 + 17*m**5 wrt m?\nAnswer: 2040*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28035696 divided by -1506.\nAnswer: -18616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -42073, -42070, -42067?\n\"Answer: 3*g - 42076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n\/((n\/n**(-37))\/n)*n)*n**40)**(-30) assuming n is positive.\nAnswer: n**(-2280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25398.18 milliseconds to minutes.\nAnswer: 0.423303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-12)\/(-10)*10\/4. Let h = 5 - 2. Suppose 26 = h*l - 4*o, 0*l = -5*l + g*o + 25. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h + 2*g = -2*h - 10, 5*h + 5*g + 15 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1635 - 5239?\nAnswer: -3604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7464027 less than 2.805803?\nAnswer: 2.0594003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6503 is divided by 812?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 82757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-44 - (-48 + 20)) + -14\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**2 - 98*o - 1935. Calculate the remainder when u(-59) is divided by 82.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -159, 3, 0.5, 2\/21, 1 in decreasing order.\nAnswer: 3, 1, 0.5, 2\/21, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2448) + (sqrt(2448) + 2 - sqrt(2448)) + 1 - sqrt(2448))**2*4 + -3.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes before 11:16 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6180 and 120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes after 5:29 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3765320023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 1164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/6*173\/((-93247)\/588)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 389 + -648. Let c = -89 - d. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the first derivative of v**2\/2 - 19. Let j(k) = -k**2 + 7*k - 2. Calculate -j(s) + 5*w(s).\nAnswer: s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -5*v + p + 19, -5*p + 35 = 4*v. Suppose v*m + 0*m = 10. Sort 0, m, 1 in descending order.\nAnswer: m, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 - (-5 - -15) - (1 - (1 - 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 12 = -u + 5*s, 2*u = -3*s + 9. Suppose 3*m = -2*w + 69, -w + 15 = -2*m - 2. Calculate the highest common factor of w and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 - 16*z**2 + 14*z**2 - 8*z**3 + 6 as j*z**3 + a*z + x*z**2 + k and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 13*a + 45. Let f = 0.7 - 0.6. Sort f, a, -9, -0.3.\nAnswer: -9, a, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the third derivative of 27*c**6\/40 + 41*c**5\/30 - 44*c**2. What is the third derivative of g(j) wrt j?\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 3, m: 3}. What is prob of sequence mmm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -0*d - 12. Let c = 7 - d. Solve 3*b = -5*t + 19, 4*t = 5*b - c*b + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -48 - -82. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -21\/4  (b) 33314  (c) 0.3  (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 a, 1 h, and 1 n when four letters picked without replacement from {a: 1, j: 1, e: 2, n: 1, h: 1, c: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 273236?\nAnswer: 2, 83, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 147 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the first derivative of 0*h**2 + 1\/20*h**6 + 0*h**3 + 0*h**4 + 2*h + 2 - 3\/40*h**5. Let u(n) be the first derivative of v(n). Factor u(j).\nAnswer: 3*j**3*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**2 + k - 7. Let t be v(-5). Let z(a) = -a**3 + 12*a**2 + 13*a + 11. Determine z(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.0081  (b) 4\/7  (c) -0.1  (d) -365\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 484, 561, 716, 985, 1404, 2009?\n\"Answer: 6*g**3 + 3*g**2 + 26*g + 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*z + 319291 = 26*z + 59107. What is the thousands digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -640, -692, -742, -790, -836?\n\"Answer: u**2 - 55*u - 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2448 and 20610528?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 - (-4 + (-22)\/(-4)). Let n = -409895291\/1091391 - -2\/155913. Let r = n + 375. Which is the smallest value?  (a) r  (b) x  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2652375 and 1060950.\nAnswer: 5304750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the second derivative of 2*i**4\/3 + 2*i. Suppose 17*n + 12 = 18*n + h, 6 = 3*n - 3*h. Let j(u) = 17*u**2 + n*u**2 - 18*u**2. Calculate b(j(c)).\nAnswer: 288*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, -3\/7, -6, 177\/7, -0.3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes after 11:06 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert c2 (base 14) to base 9.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-2326)\/(-10) + (-2)\/70*-14 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 9*v - 10. Let w be -1 - 5\/((-15)\/12). Put 4, w, v in descending order.\nAnswer: 4, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s + 2. Let w be q(-4). Let r(i) = -7 + 3 + 7 - i**2 + 5*i. Determine r(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, -3, 3, 18?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:36 AM and 2:43 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6104 - -6102. What is the closest to t in -2\/19, -25.5, 0.1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 5948, -32, 4, -1 in increasing order.\nAnswer: -32, -4, -1, 4, 5948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 - -11. Let p(a) = a**3 - 8*a**2 + 13*a + 12. Let h be p(6). What is the highest common divisor of q and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1742 - 746. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 89833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - u + 1)*(-51116*u + 51116*u + 9078*u**2).\nAnswer: -9078*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**2 - 13*v + 50. Let j be y(-16). Suppose 5*x + 111 = j*x + 2*u, -3*x + u = 108. Let d = 92 + x. What are the prime factors of d?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.045 - 0.835. Let l = q + -34.12. Let k = 34.983 + l. Round k to 3 dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 201708977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.5 - -0.3. Let g = -2.8 + 2.9. What is the closest to g in s, -3, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 546127?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9117 + -4521. Is n\/10 + 12\/30 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.83, 28, -2, -13?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 325872 and 279?\nAnswer: 325872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-19)\/c)**(1\/24)\/((c**(-25)\/c)\/(c*c**(-4\/13))) assuming c is positive.\nAnswer: c**(2017\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 5*v + 12. Let f be s(-4). Let y = f + 14. Suppose -y*r + 193 = 25. What is the highest common divisor of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5 + 1. Let y be 12\/5 - b\/(-10). Find the second derivative of y*v**3 + 3*v**3 - 2*v - v**3 wrt v.\nAnswer: 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2185 is divided by 169?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + f + 348 = -2*k, 0 = 5*f + 4*k - 580. Suppose f = 4*a + 2*s, -a - 5 = 5*s - 25. Let u = 3414 + -3409. Solve u*v - v + a = 5*i, i + 3 = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v = p - 15, -586*v - 12 = -584*v - 4*p for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -209218 divided by -53.\nAnswer: 209218\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -176399\/12341525 + -2\/16175. Find the common denominator of -61\/3597 and z.\nAnswer: 25179","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -2982, -23294, -78510, -186108, -363566, -628362?\n\"Answer: -2913*z**3 + 26*z**2 + z - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 23 - 13. Suppose 2*l + 20 + 10 = 3*w, w = l + b. Suppose c = 5*i - 124, 4*i + 2*c - 98 = -w. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(121)\/((sqrt(77)*-3)\/sqrt(7)) - (-4 + (sqrt(704) - (1*sqrt(704) + sqrt(704)))))**2.\nAnswer: 184*sqrt(11)\/3 + 5963\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 - -1 - 5) + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*r - 2*r - r)*(-14 + 12 + 4) + 1 - 1 - r + (-6*r + 2*r + 3*r)*(2 + 1 - 1) - 3*r + 2*r + 0*r - r - r + 4*r + 2*r + r - 5*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 181\/238601454 and 19\/6117986.\nAnswer: 238601454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 110 and 4896560?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4045305 and 0.4.\nAnswer: -1618122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (5 - 1)*(-1 + 0). Let w(f) = -2 + f**3 + 7*f**2 - f**2 + 3*f - 2. Calculate the remainder when 46 is divided by w(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23*p**5 - 50*p**2 + 50*p**2)*(-3 + 4 - 4).\nAnswer: -69*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-868)\/112 + (8 - 1).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k = 2*k + 20. Suppose -h + 26 = -2*w, 44 + 17 = 2*h + k*w. Let r(d) = 1196*d - 47838. Calculate the least common multiple of r(40) and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 96 - 165. Let m = q + 63. Which is the nearest to 0?  (a) m  (b) 5\/2  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*a - 41*a - 65 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.7 + -9.3. Put 1, h, -3, 0 in decreasing order.\nAnswer: 1, 0, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 26613 + -8795. Calculate the highest common divisor of 118 and l.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 5, 1903, -1 in decreasing order.\nAnswer: 1903, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = r + x + 4*x, 3*r + 4*x = -10. Suppose 0 = -8*q + r*q + 36. Solve -q = -p - p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 83, -4, -30, 0 in ascending order.\nAnswer: -30, -4, 0, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 44476793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/2 - (-4)\/(-8). Let c be j\/(2\/18*1). Calculate the remainder when 79 is divided by (-182)\/(-9) + 2\/c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003888939 rounded to five decimal places?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 6 - 2)*(-4*b**4 - 9*b**4 + 8*b**4) + 5*b**3 - 5*b**3 - 6*b**4.\nAnswer: -16*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*t**3 + 0*t**3 + t**4 + (-3*t + 2*t + 3*t)*(t**3 - 2*t**3 + 2*t**3) - 55 + 55 - 57*t**4 + 2*t**4 + t**4 + 0*t**4.\nAnswer: -51*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 2555*c - 1686. Let x(u) = -3412*u + 2248. Let w(o) = 8*x(o) + 11*y(o). Differentiate w(m) wrt m.\nAnswer: 809","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (4 - 2)*(-3)\/(-2). Suppose 5*n = 4*o + 78, i*o = 2*n - o - 36. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-207*5\/(-30))\/((222\/4)\/(-37)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**2 + 3*g - 6. Let u = 146 + -144. Suppose -5*c - 30 = u*b, 13 = 26*b - 27*b - 2*c. Determine q(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - d - 5*f = 21, 3*f + 11 = d. Suppose -3*c = -0 + 6. Calculate the smallest common multiple of d and (-52)\/(-8) - c\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47 = -k + f - 1, k - 58 = -5*f. Suppose 0 = -7*o + 10*o - k. What is the greatest common factor of 16 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/5?  (a) -2\/7  (b) 0.01  (c) 0.2  (d) 3\/5  (e) 33\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**3 - 1720320*p**2 - 34407000*p - 172036000.\nAnswer: 2*(p - 860180)*(p + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + 25 + 8*z - 31 - 13 + 14 - 9*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1464, 1471, 1472, 1467, 1456?\nAnswer: 1439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes before 8:24 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -9*j. Let z(l) = -16*l**2. Calculate z(s(y)).\nAnswer: -1296*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12670 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(-1*(3*sqrt(70) - sqrt(70)))\/(sqrt(360)*-2))**2.\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12671*r = -12682*r - 44 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*m - 3 = -3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 15175*o**3 + o - 15326*o**3 + 920 + 577 with respect to o.\nAnswer: -453*o**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 29555727*s**2 + 58095844.\nAnswer: 59111454*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(180) + (sqrt(180) + sqrt(180) + -2 - sqrt(180))*2 + sqrt(180))**2 + 0.\nAnswer: -192*sqrt(5) + 2896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4\/29 or -317365?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 13*y**5 - 4*y**3 + 4*y**2. Let n(u) = -u**5 + u**3. Let q(r) = 4*n(r) + p(r). Find the third derivative of q(v) wrt v.\nAnswer: 540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7 in 458, -13, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1256\/(-2983)*2\/8*-1. Which is the closest to 0.3?  (a) y  (b) -11  (c) -4  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -79576 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 31177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44494*u + 44494*u - 2*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16 - -15)*(3 - 3)*(0 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3 + -2 - (-15 - 5). Suppose 60 = 20*t - y*t. Let r = t - -107. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3)\/699*3*18\/108. Suppose 2*x + 6 = 0, -8*s + 12 = -3*s - 4*x. Is j < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from bbtbbbttttbtbttttttl.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -2*n + 4*s, -3*s - 7 = -19. What is the second derivative of n*u**2 + 8*u + 49*u**2 - 3 + 11*u**2 - 2*u wrt u?\nAnswer: 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13550 + 13554. Factor 0 + 12\/11*t - 4\/11*t**3 + 2\/11*t**r - 10\/11*t**2.\nAnswer: 2*t*(t - 3)*(t - 1)*(t + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 641418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 9\/12 + (-189)\/126. What is the second biggest value in f, 2\/15, 0.5, -4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 302*k**2 + 323*k**2 + 318*k**2 + (k + k + 0*k)*(3*k - 5*k + k) - 5*k + 5*k - 3*k**2.\nAnswer: 938*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 41867 + 3?\nAnswer: 41870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -623\/4 + 155. Let c = 3 + -4. Let z be (-10)\/12 + c\/(-3). Put -0.3, u, z in increasing order.\nAnswer: u, z, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29243?\nAnswer: 29243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 648*4.\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is (0 - 2)\/(2\/(-83)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -383*z**4 + 9*z - 501*z**4 + z**2 + z**3 + 12 + 883*z**4 to i*z + j + v*z**3 + t*z**2 + a*z**4 and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-371)\/(-35) - (-8 - -18)) + 679\/35.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes before 8:49 AM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -59 + 49 + -5 + 15 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1289*r - 1304*r + 2630*r)*(-2*r - 3 + 3) to d + q*r + s*r**2 and give s.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2205)\/(-27) + 6\/(-9). Suppose -5*i + 101 = l. Solve -2*k - i = -6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qq when two letters picked without replacement from yqyyyyyyryyyyq?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qiqc when four letters picked without replacement from qefqiiqeeqnciee?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000936705 rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:11 AM and 7:28 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the first derivative of l**6\/15 - 2*l**5\/5 - 3*l**4\/5 + 76*l**3\/15 - 43*l**2\/5 + 6*l - 214. Suppose s(i) = 0. What is i?\nAnswer: -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 2 + -4*(sqrt(162) + 0)*-4.\nAnswer: 3 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tbbbttttbbtttttttttt. Give prob of picking 1 t and 2 b.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -335.7 and 15503?\nAnswer: -5204357.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 122\/9*z**3 - 46\/9*z**4 + 8\/3 + 16\/9*z - 122\/9*z**2 + 2\/3*z**5 = 0.\nAnswer: -1\/3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 22\/9 in 1, 8, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 138768209\/900 - 154187. Find the common denominator of -199\/1980 and o.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:27 AM and 2:40 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**3 - 132*c**2 + 268*c + 35. What is o(-134)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) -0.3  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-2 + ((-1 + sqrt(605) + 2)**2 - ((sqrt(605) + 1)*-1 - sqrt(605))) + 1).\nAnswer: 88*sqrt(5) + 1212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/33, -13, -51, -24.8, 2.\nAnswer: -51, -24.8, -13, -2\/33, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*h = -5*h - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v. Let w(z) = -122*z**2. Give w(a(g)).\nAnswer: -122*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-30 - (-15 - (-7 - -4))) + 23\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 646426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 134 = -28. Let m = f + -41. Is m a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - p - 40 = 0, -4*m - 2*p = -5*p - 50. Calculate the highest common divisor of 56 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0023 times 34720\nAnswer: 79.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**36\/(h*h\/(h*h**(-9))))**(-1\/6))**45 assuming h is positive.\nAnswer: h**(-195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -187308.35295043 - -187228.35295. Let c = 156 - 236. Let h = c - t. What is h rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -5*t**2. Let u(m) be the second derivative of 2*m**3\/3 + 7*m. Calculate u(i(a)).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 58 - 21 - 35 + 55*b**3 + 4*b to i*b**3 + j*b**2 + r + g*b and give i.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 143*q**2 + 2*q - 142*q**2 - 10 - 6. Is u(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**2 + w - 405. Let n(y) = -y - 74. Let c(j) = 3*n(j) - u(j). Determine c(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33138 and 36058878.\nAnswer: 4734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 49 - 49 + w**2 + 3*w - 37*w**4 to the form p*w**3 + s*w**2 + u*w**4 + d*w + a and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3, -1, 6316, 4, -5 in ascending order.\nAnswer: -5, -4, -1, 3, 4, 6316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13222 is divided by 1463?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 213710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 8 + 0 = 0, 4*i = -4*d + 1000. What is the greatest common factor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 51 = 47. Solve -p*r = 33 - 49 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -187*j**4 + 17*j**3 - 3*j**2 + 160839 wrt j.\nAnswer: -748*j**3 + 51*j**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*y - 21 - 15 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a*a*a\/(a*((a*a*((a*a*a**(-18))\/a)\/a)\/a*a)\/a)))\/a*a*a\/(a*a**(-4\/9))*a assuming a is positive.\nAnswer: a**(-149\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = 6, 12 + 14 = 2*k - 2*h. Suppose -k*r + 6*r + 638 = 5*b, 308 = 2*r - 3*b. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rprrrsperempsr. Give prob of picking 1 s and 1 e.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 78628238?\nAnswer: 2, 13, 59, 51257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-768)\/18 + ((-4)\/3 - -1). Let g = c + 45. Solve 3*q = -3*l, g*q + 5 = 4*l + 29 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4.01 + -0.01. What is the nearest to 2\/3 in -0.4, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 56012 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**3 + 12*v**2 + 228*v + 80. Let z be p(-10). Solve -83*f + 75*f - 8 = z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 9362*z - 9362*z - 23*z**2. Let h(l) = 10*l**2 + 14*l. Let m(q) = 2*q**2 + 3*q. Let g(n) = -3*h(n) + 14*m(n). Calculate b(g(s)).\nAnswer: -92*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-20)\/(-8) + 6\/4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(20) + (sqrt(180) + -1*sqrt(180))\/sqrt(9))**2 - (-2*sqrt(480))\/(sqrt(96)*-1).\nAnswer: -6*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 10445*n - 2653043. What is c(254)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 13580 and 3395?\nAnswer: 13580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 3, 132, -2, 4 in increasing order.\nAnswer: -2, -0.2, 3, 4, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 2)*(2 + 2*d - 2).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -2 - 4 + p + 4. Let g be c(0). Is (1\/g)\/((-1)\/74) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -982, -1683, -2410, -3175, -3990, -4867, -5818?\n\"Answer: -2*l**3 - l**2 - 684*l - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -91*a - 325. What is q(-4)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the third derivative of -t**5\/60 + t**4\/6 + 5*t**3\/6 - 8*t**2 + 4*t. Suppose 4*s = -s. Let p = 4 - s. What is b(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, -19, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 896843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 194 = -5*f, -5*f - 33 + 343 = 5*h. Solve -601*m - h = -594*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 57, -4 in decreasing order.\nAnswer: 57, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 55, 112, 169, 226, 283, 340?\n\"Answer: 57*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 13 + 15. Suppose q*f - c = 2*f + 10, -2*f - 3 = c. Let g(r) = -31 - 22 + 15 + 37 + 9*r. Let p(a) = a. Determine f*g(t) - 6*p(t).\nAnswer: 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 57532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1039*f - 10300*f = -194405 - 55053 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76*u = 66*u + 400. Suppose 5*p = 1 + 99. Calculate the lowest common multiple of p and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/6  (b) -662  (c) -387  (d) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 912384 to the power of 1\/2, to the nearest integer?\nAnswer: 955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2e7890 (base 16) to base 12.\nAnswer: -102a554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 34875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 0 - 2 + 2*z - 4. Let a(i) = -i + 2. Let k be a(-5). Let n be q(k). Calculate the highest common divisor of 56 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -59784, -119587, -179390, -239193?\n\"Answer: -59803*h + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7*g**5 - 26036*g**4 - g**3 + 301*g**2 + 1155?\nAnswer: -420*g**2 - 624864*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*n = -15*n - 160. Calculate the remainder when n is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the third derivative of -7*g**2 + 0*g - 1\/6*g**3 + 1\/3*g**4 + 0 + 1\/30*g**5. What is c(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -215 + 401 - 83*g**2 - 190 in the form s*g**2 + n + i*g and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1533 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2698 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -22 + 7 - -16 - -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 164 and -41815.\nAnswer: -6857660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -148660 to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4518965 and 132?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 881 - 3?\nAnswer: 87b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 350 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 14 in 0.095, -3\/2, 0.2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the third derivative of -y**5\/60 + 7*y**4\/24 - y**3\/3 - 16*y**2. Determine h(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31541 is divided by 132.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 6*p**3 - p**2 - p + 2. Let j(q) = -10*q**3 + 2*q**2 - 1762*q - 4. Give j(v) + 2*z(v).\nAnswer: 2*v**3 - 1764*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-15)\/2*(-16)\/24. Solve -j*t = -5*w - 45, -2*w - 5 - 5 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 606010 - 0.1487.\nAnswer: 606009.8513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**(1\/15))\/f**(-1\/5)*f*f*f*f**(2\/11)\/f*f*f*f*f*f**6*(f**(-2))**(-9\/2)\/(f**1)**(-43) assuming f is positive.\nAnswer: f**(10777\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-2\/5)*y*y)**(-10))**(-10) assuming y is positive.\nAnswer: y**160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6*28\/288*10\/7.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 11, q: 1}. Give prob of sequence aaqa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -0.1, 10, 0.1, -2\/17, -5, 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 - (-12 + 19 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the second derivative of 19*h**5\/20 + h**3\/6 + 11*h**2 - 149*h. What is the first derivative of j(z) wrt z?\nAnswer: 57*z**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*q**2 + 45744*q + 1186640.\nAnswer: 4*(q + 26)*(q + 11410)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.45 + 1. Let z = k + 48.45. Let u = 48.00137 - z. Round u to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-42)\/4 - 72\/(-48)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**3 - 4*c**2 - 120*c - 37. Calculate d(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -96*u**3 + 347?\nAnswer: -288*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1535 + 1522 - 35*z + 39*z.\nAnswer: 4*z - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(10\/13))**(1\/2)*(m*m*m**18*m*m*m)**(-2\/71))**44 assuming m is positive.\nAnswer: m**(-10692\/923)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 67 a factor of 381088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4\/9  (b) 3\/13  (c) -0.3  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -91, -183, -275, -367, -459, -551?\n\"Answer: -92*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-8 + 8)*(0 + 1). Suppose 4*y + 17 - 105 = k. Solve -2*h - y + 3 = -3*q, -2*h = 5*q - 21 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.125826 + 0.125. Round d to 5 decimal places.\nAnswer: -0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -993, 525386 in descending order.\nAnswer: 525386, 4, -993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/16)\/(46100\/22128)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3\/4)\/(3\/16). Solve 6 = -v*y - 5*c, -y + 4*c = 3*y - 12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 2 r when four letters picked without replacement from {r: 3, p: 13}.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 955186805 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:04 PM and 11:50 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(76) + (6*(sqrt(76) + 1*sqrt(76)) - sqrt(76)))**2 + (-1*sqrt(76))**2 + -2 + sqrt(76)).\nAnswer: -44072 - 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the second derivative of 0 - 2\/9*x**3 + x**2 - x + 1\/54*x**4. Suppose s(m) = 0. Calculate m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.055 + 7.455. What is s rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(-11))\/j**7*(j\/(j*j**1*j))**(2\/49) assuming j is positive.\nAnswer: j**(-837\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s - 3*o = o + 33, -2*s - 6 = -2*o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000012978 rounded to seven dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1 + -1382*(-2)\/36. Let z = 78 - f. Let r = -3 + 8. Sort r, z, 3 in increasing order.\nAnswer: z, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -3 + 1 + -3 + 1*sqrt(2057) + sqrt(2057) + sqrt(2057) + 3 + sqrt(2057) + 0)**2.\nAnswer: 176*sqrt(17) + 32916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7712*r - 32*r**2 + 7711*r - 30850*r + 7712*r + 7715*r.\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 515819 to the power of 1\/2, to the nearest integer?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12673 - 12289. What is the smallest common multiple of u and 10?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 326428, 326589, 326750?\nAnswer: 326911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 41493 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (52*n**3 - 51*n**3 + 776*n - 223*n)*(0 - 3 + 1).\nAnswer: -2*n**3 - 1106*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00052121 to six decimal places.\nAnswer: -0.000521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -3*y**3 - 2*y**2 - y. Calculate the remainder when 6\/(((-3)\/3)\/(-1)) is divided by b(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1927582?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = -4*r - 5*z, 4*r + 2 = 5*z - 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -222*j**2 + 41*j**2 + 47*j**2 + 44*j**2 + 95*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v**3 - 5*v**2 + 3*v - 3. Determine h(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/4*30*-18*(-30)\/675?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the second derivative of i**5\/20 - i**4\/12 - i**3\/6 + i**2 + 14*i. What is the remainder when (-1 - -1) + 10 + -2 + -1 is divided by o(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -429 = 298*t - 26*t + 659. What is the fifth biggest value in t, 0, 5, -562, -2?\nAnswer: -562","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 7900, 7899, 7898?\n\"Answer: -n + 7901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 0.3238433g?\nAnswer: 323843300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 964.6922 centuries to years.\nAnswer: 96469.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/125?  (a) -1  (b) 4  (c) 0  (d) -5  (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 97\/(436015\/116)*20\/8\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y + 2*n + 54 + 152, 5*y - 994 = -2*n. Is 20 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 7*a**4 + 6*a**3 - 43*a**2 + 30*a. Let v(g) = 15*g**4 + 12*g**3 - 87*g**2 + 60*g. Let z(o) = 9*f(o) - 4*v(o). Factor z(n).\nAnswer: 3*n*(n - 2)*(n - 1)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 105896.\nAnswer: 2, 7, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 65, -3, 1 in increasing order.\nAnswer: -3, -2, 1, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -5*a**3 - 143*a**2 + 3*a + 6. Let r(p) = -5*p**3 - 140*p**2 + 3*p + 5. Give -5*d(x) + 6*r(x).\nAnswer: -5*x**3 - 125*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -2*u**3 - 79*u**2 + 44*u + 3232. What is f(-39)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 409 - 224. Suppose 2*s - 5*o = -i + 44, 0 = 5*s - 3*o + 362. What is s rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (1 - 1) - ((-13 - -31) + -13).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the first derivative of 24*x**2 + 9*x - 53. Differentiate i(p) wrt p.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1327 + 272?\nAnswer: 1621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 133743?\nAnswer: 3, 109, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the third derivative of -1\/48*g**4 - 2*g**2 + 0*g**5 + 0*g + 1\/240*g**6 + 0 + 0*g**3. Factor c(f).\nAnswer: f*(f - 1)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -54440 + 61630805?\nAnswer: 61576365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*r + 228 = -13*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:58 PM and 7:10 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 3*o**3 + 3*o**2 + 4*o + 6. Let z be y(-2). Let f be 8\/z + (-16)\/(-28). Let j be (-4)\/3 - 117\/(-27). Put 5, j, f, 4 in ascending order.\nAnswer: f, j, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 21952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a**2. Let d(t) = -2*t**2 + 13*t - 2. Let p(h) = 3*b(h) + d(h). Let u be p(-9). Let o = u - -68. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**3 + 29*r**2 - 32*r + 101. Give i(28).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/2*(-24)\/(-12)*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 9*k - 5. Let p be j(6). Let i be 0 + 8 + -10 + (296 - 0). What is the highest common factor of i and p?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 477 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -291146*p**2*r**2 - 2431*p*r**2 - p*r - 4*p - 2*r**2 + 6 wrt p?\nAnswer: -582292*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, o: 7}. What is prob of sequence oo?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 598841933.\nAnswer: 137, 1051, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**2 + 6*t - 7. Let l be 65\/(-9) - (-10)\/45. Let o be g(l). Solve c + 3*c - 19 = 3*p, p - 3*c + 13 = o for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 0 = 2*d - 1, 3*b = 2*d - 7. Suppose -4*x + d*x + 42 = 2*q, 0 = -5*x + 15. Suppose q = l - 46. 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 distance between -607370201871 and 20?\nAnswer: 607370201891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*v**3\/5 + 66*v**2\/5 + 357*v\/5 - 10404\/5.\nAnswer: -3*(v - 17)**2*(v + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 138873, 555491, 1249855, 2221965, 3471821?\nAnswer: 4999423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4443777.\nAnswer: 3, 13, 19, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3\/2  (b) -0.075  (c) 4\/5  (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -149940 divided by -441.\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12386*o**2 - 8*o = 0. Calculate o.\nAnswer: 0, 4\/6193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1101200121 (base 3) to base 4.\nAnswer: 12231103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 7*x - 4*x = -18, 0 = 2*w - 2*x - 8. Let p(q) = -8*q**2 - 5*q - 7. Let r(z) = -2 + 12*z + 10 - 19*z + 9*z**2 + 13*z. Calculate w*p(n) + 5*r(n).\nAnswer: -3*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.3  (b) 2\/11  (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 4 = 4, 2*b = -3*r + 592. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 504 minutes after 11:54 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -369 - 187. Let t = y - -557. Solve 0 = 3*d - 9, t = -n - d + 3*d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16716.765562 rounded to zero dps?\nAnswer: -16717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m - 19. Let y(n) = 9. Calculate -3*s(j) - 7*y(j).\nAnswer: 3*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 965.\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 25.319+25492667\nAnswer: 25492692.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 97 * -0.4\nAnswer: -38.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*k**2 + 5*k**2 - 5*k**4)*(39*k - 2 + 57*k + 31*k).\nAnswer: -635*k**5 + 10*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -2*o**3 + 9*o**2 - 9*o + 4. Let v be c(2). Suppose -v*z = -1245 - 5961. Is 27 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 410818 and 14801?\nAnswer: 16843538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (4 + (3 - 11) + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -26, 6, 10, -1, -3, -2 in increasing order.\nAnswer: -26, -3, -2, -1, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 23833501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes before 10:04 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1050 - 22*q**2 + 1050 to the form w*q + l + t*q**2 and give t.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.5?  (a) -0.4  (b) -1\/3  (c) -2\/9  (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-186)\/(-78) - 4\/(-5 + 9). Let t = q - 139\/91. Let c = 3.07 - 0.07. What is the nearest to 1 in t, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*u - 87 = 3 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 130 or 1?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/2 of a year in months?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**3 + 4*l**2 - 19*l - 16. What is r(0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -61*h - 509 - 570 - 141 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -3*r + 140. What are the prime factors of r?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-4 + sqrt(1900) + -1 - sqrt(1900)) - (2 + 3 + sqrt(1900) + 3).\nAnswer: -10*sqrt(19) - 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the third derivative of 17*p**4\/12 + 39*p**3 - 16*p**2. Let i be t(-7). Which is the smallest value?  (a) i  (b) 2\/5  (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/(b*b**(-2)*b))\/b**(-4)*(b*b*b\/(b\/b**0)*b)\/b**(-1\/3))**(5\/8))**42 assuming b is positive.\nAnswer: b**(875\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -20*g**3 - g**2 - 2*g - 1. Let r be q(-1). Suppose b = 5 + r. Is b a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1879*b - 76*b**2 + 3509 - 195 - 945*b - 942*b + 29*b**2 wrt b?\nAnswer: -94*b - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -10*t**2 - t - 5. Let i(p) = -5 + 0 - 1 - 11*p**2 - p. Let h be 4 + 30\/20 + 2\/4. Calculate h*u(y) - 5*i(y).\nAnswer: -5*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.4 + -1.96. Let n = 0.04 - d. Let o = n + 2.4. Which is the second smallest value?  (a) 2\/7  (b) 5  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 870230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of ((-190)\/(-50))\/(2\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3580100 is divided by 325462?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**(9\/7))\/f**(4\/13)*f**1*(f**(-1\/17)*f)\/f assuming f is positive.\nAnswer: f**(538\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - -2) + (-5 + -1 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.4?  (a) 8\/5  (b) 6\/11  (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.5 - 0.7. Let k(n) = -n**3 + 6*n**2 - 7*n. Let i be k(6). Let v be -4*(0 + 1\/i). What is the third smallest value in v, d, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*z**5 + 9*z**2 - 669*z.\nAnswer: 40*z**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 243\/4 - 61. Let l be (1\/2)\/(15\/6). Let w = -3.8 - -4. What is the closest to w in k, l, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 7) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -23510535453 - -4?\nAnswer: -23510535445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 204.3 from 0.26.\nAnswer: -204.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in six fifths of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 17 + -22. Let x(t) = -t**2 + 5*t + 4. Let u(z) = -z**2 + 4*z + 4. Let l(s) = -6*u(s) + 5*x(s). What is the units digit of l(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k - 2 - 6. Let v = 4 - k. Suppose -20 = -4*p, -q + 0*q + 2*p = v. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 17*f - 9. Let p be i(3). Let q = p + -39. What is the hundreds digit of 3\/1 - (110 - q)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*f**3 + 474*f**2 + 19272*f + 69696.\nAnswer: 3*(f + 4)*(f + 66)*(f + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -29470, -29471, -29478, -29491?\nAnswer: -29510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -53 + -b1?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -183.6 - -184.6. Let l = 1.3 - -3.7. Let u = l + -9. What is the nearest to -2\/7 in p, 3, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2026\/(-63819))\/((-2)\/3)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3 + -3 - (26 - (71 - 39)) - (5 + 1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8736935kg in milligrams?\nAnswer: 873693.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -2*l**2 + 63*l + 68. Let c be g(-1). Calculate the greatest common divisor of c and 74.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3396299 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10608 is divided by 30.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 240 + -209. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*o = -5*o + 4*j - 4650, -3*j = -2*o + 3083. Suppose 557 = -23*m + o. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -150 + 156. Calculate the remainder when 17 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 5*l = 20, -l = 5*x + 95. Let t(d) = d + 30. Let s be t(x). What is the second derivative of 3*b + 5*b - s*b**2 + 3*b**2 wrt b?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l*l**(-1\/5)*l)\/l)**(17\/2)\/(l**0*l*l**(-6\/11)))**(-1) assuming l is positive.\nAnswer: l**(-349\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2648 and 614?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -409 or -414?\nAnswer: -414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (3 + -3)\/((-2 - -1)*1). Suppose 5*b = -f, -3*b = -3*f - w*f. Let y(d) = d**3 + 15. Calculate y(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 23940 by 420.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -65  (b) 2\/33  (c) -0.8  (d) -0.4  (e) 1  (f) 2\/123  (g) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 303*j + 24183 = -448*j + 2404 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 211253?\nAnswer: 7, 103, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - z = 2, 4*z = 5*g - 0*z - 21. Suppose g = -6*x + 19. Find c, given that 5*c**3 + 11*c**2 - c**3 - 4 + 8*c + c**3 - 2*c**x = 0.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -479301, -479323, -479345, -479367, -479389, -479411?\nAnswer: -479433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -194 + 198. What is the closest to 1 in 41, 0.2, t, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 5*y + 13. Let t(z) = 5*z + 12. Let u(d) = 5*b(d) - 6*t(d). Let x be u(-3). Suppose -6*p - 90 = -x*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 38+0.185653913073\nAnswer: 38.185653913073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(10)\/sqrt(125) + sqrt(4)\/(sqrt(8)\/sqrt(4)).\nAnswer: 6*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 241?  (a) -0.2  (b) 45  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*q + 35 = -5*d - 9*d + 19*d, -5*d = -35 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -4070.3663 rounded to the nearest ten?\nAnswer: -4070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 392 = -q. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes after 12:38 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 821*l - 826*l - 4*l**3 + 16*l**3 in the form j + m*l + f*l**2 + g*l**3 and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*g**5*n*r + 2*g**3*n - 18*g**3*r**2 - 38*g**2 - 5*g*n*r**2 - 2*g*n wrt g?\nAnswer: 360*g**2*n*r + 12*n - 108*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*n**3 + n**2 - 3 + n + n**3 + 3 in the form v*n**2 + g + r*n + w*n**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ntdnqmdmdmqtmdddnd. What is prob of sequence qnd?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 167\/47376 and 61\/6.\nAnswer: 47376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -61 + 61.00000009. What is b rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9578 is divided by 3192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.489 - 0.5.\nAnswer: -0.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -39 + 44. Suppose -5*s + 200 = y*f, 3*s - 2*s + 116 = 3*f. Calculate the highest common factor of 13 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1147, 3429, 7255, 12637, 19587, 28117?\n\"Answer: 2*s**3 + 760*s**2 - 12*s + 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*j**2 + 80*j - 500 = 0. What is j?\nAnswer: -25, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 348 and 68.\nAnswer: 5916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**2 + 167*k + 2815. Let u be g(-19). Suppose 5 + 1 = 3*s. Suppose 175 + s = u*l. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 12507 * -0.02.\nAnswer: -250.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 6*g - 7. Find the second derivative of -z**2 + g*z**3 + 13 + 4*z**3 + z**3 - 12 - 18*z wrt z.\nAnswer: 42*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 15.027 + -15. Let a = -1.027 + y. Suppose 3*r - 26 = -5*v - 35, 0 = 2*r + 3*v + 5. What is the smallest value in a, 0, 3, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -871*h - 81. Is b(-1) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -8959500 to the nearest 10000.\nAnswer: -8960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 2*u**2 - 5*u + 4. Let k be g(3). Let c(a) = 7 - k + a. Let s(j) = 8*j. Calculate c(s(q)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*o + 160 - 48 - 35 - 13*o - 77 - o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve n = 2*m + 35, 5*m + 214*n = 218*n - 95 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3\/5, 9\/28, 4, -7.92, -0.5?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 4791.143nm?\nAnswer: 0.000004791143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1414)\/360 - (-28)\/70. Let u = k + -14\/9. Find the common denominator of 83\/22 and u.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 3 = 2*q, 4*y = 4*q - 0 - 20. Let c(m) = 2*m**2 - m - 9. Is c(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (45 + -46)*(-6)\/(-57). Sort -9, 0.148, j in descending order.\nAnswer: 0.148, j, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 359114 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-60)\/(-3 - 28\/(-10)). Let o = -202 + a. Does 23 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*s - 5*s**2 + 539 - s**2 + 3*s**2.\nAnswer: -3*s**2 - 2*s + 539","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1344, 2474, 5536, 11496, 21320, 35974, 56424?\nAnswer: 83636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 226 = -15*x - 293, -3*x - 31 = u for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 60 = -b - 4*o, -5*b + 63 = -o. Suppose -5*w**3 - 11*w**3 + b*w**3 - 585*w + 675 - 87*w**2 = 0. What is w?\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1*5 - (-33)\/11. Is 2\/a - ((-645)\/12 + -6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -7*r**3 - 2*r - 3. Let n be y(3). Let j = 200 + n. Solve l - 4 = -j*v - 15, -v = 4*l + 9 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = 4*s - 9*s + 10, -5*r = 5*s + 40. Is (6041 + -3)\/(s - -5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -8459966, -16919923, -25379880?\n\"Answer: -8459957*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -91 - -155. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -108 + 107.961. Let w = -3.639 - f. What is w rounded to one dp?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -126, -170, -204, -222, -218?\n\"Answer: w**3 - w**2 - 48*w - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.056 + 1.944. Let v be -334*(1 - (-5)\/(-10)). Let a = -2503\/15 - v. What is the closest to 2\/9 in a, i, -1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 5*h + 131, 7*u = 12*u - 5*h - 235. Let d = 878 + -514. Calculate the highest common factor of d and u.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**2 - z + 3. Let g(x) = -x**2 + x. What is -2*g(r) - t(r)?\nAnswer: 3*r**2 - r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(931))**2 - ((sqrt(19) + 1 - sqrt(19)) + -2).\nAnswer: -14*sqrt(19) + 933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/6  (b) -4  (c) -5  (d) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 645552 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -95*j = -k - 57*j - 47*j + 75, k + 2*j - 19 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41863 + 141911 = -1352*a for a.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 - 11\/3. Sort 5, -0.3, f.\nAnswer: -0.3, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -4*g**4\/5 + 1872*g**3\/5 + 1876*g**2\/5 = 0?\nAnswer: -1, 0, 469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0126283309 take away -137?\nAnswer: 137.0126283309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/(-2) - 129815\/(-259590). Let s = 850139\/2479754 + -974279020001\/354045637473. Let d = s - n. Calculate the common denominator of 39\/22 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -12 by 11011746.\nAnswer: -2\/1835291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b - 4*t + 106 = 136, -7 = -b + t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is dc + 1c?\nAnswer: 11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**2 - 2791*k + 503370.\nAnswer: -(k - 170)*(k + 2961)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 34 + -1?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 950, -4, -3, -2, 29 in descending order.\nAnswer: 950, 29, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20877 + 20877 + 101*b**3.\nAnswer: 101*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 58*-0.02\nAnswer: -1.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 32586941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 30 and 14588580.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5 and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 0*v = v. Let j be 118\/236*(0 + v\/2). Determine x, given that -8\/7*x - 4\/7*x**4 - 20\/7*x**2 - 16\/7*x**3 + j = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.058 + 1.368. Let m = 0.09 + q. Let u = m + -0.9. Which is the biggest value?  (a) 0.3  (b) -0.4  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 8\/32 - 6\/56. Put -1, z, -1\/2, 0 in descending order.\nAnswer: z, 0, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -88 less than or equal to -2176\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 456084 and 182?\nAnswer: 41503644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.101302 to three decimal places.\nAnswer: 0.101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = -25, 3 + 5 = -v + 2*g. Let f be v\/(-3)*(-1 + -2). What is the third derivative of -4*s**6 + 5*s**f + 2*s**2 + s**6 + s**2 wrt s?\nAnswer: -360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v - s + 100 = 0, 4*v = 7*s + 289 - 394 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*(49\/28)\/(3\/12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14750 and 62245?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 13*o**2 - 302*o - 259. Calculate c(24).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 2*v**3 - 3*v**2 + 4*v - 3. Let q(z) = -3*z**3 + 4*z**2 - 4*z + 2. Calculate -4*n(s) - 3*q(s).\nAnswer: s**3 - 4*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 335, 1334, 2999, 5330, 8327, 11990?\nAnswer: 16319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 3300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:18 PM and 8:56 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 332 = -2*z, -18*i + 171 = -19*i - 4*z. Let x = i + 185. Solve 21*l = x*l + 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the third derivative of u**7\/105 - u**6\/30 - 2*u**5\/15 + u**4\/6 + u**3 + 8*u**2. Factor q(f).\nAnswer: 2*(f - 3)*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 28 and 27538?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 62 + 3. Suppose 5*h - 12 = d, 0 = 4*d + 3*h - 2*h - 57. Calculate the highest common divisor of d and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -62504 - -159135. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 + 12c6?\nAnswer: 12c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gy when two letters picked without replacement from gyggggggpgggggg?\nAnswer: 13\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 240*w - 230*w = 40. Solve -4*g + 12 = w*v - 8*v, 5*v = g - 19 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pasp when four letters picked without replacement from opaoaapapspobooo.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.2 + -2.3. Which is the closest to 1?  (a) 0.5  (b) f  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*d + 0*d + 264*d**3 - 518*d**3 + 275*d**3.\nAnswer: 21*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78*s + 106 = 79*s. What is the remainder when s is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(30\/12)*-5*475\/(-38).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/5 + -1 + (-8577)\/315. Let i = z + 817\/28. What is the common denominator of i and (-4)\/((-168)\/75) + -2?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1227130.\nAnswer: 2, 5, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 295931052 minus -1008141?\nAnswer: 296939193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 50028098 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00002777843 rounded to 7 decimal places?\nAnswer: -0.0000278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13248, -13262, -13286, -13320, -13364, -13418?\nAnswer: -13482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**3 - l**2 - l + 1. Let k(f) = -f**3 + 2*f**2 + f - 2. Let n(i) = 2*i + 13. Let p be n(-8). Let c(d) = p*v(d) - 2*k(d). Let c(z) = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 + 50*w**2 + 51*w**2 - 98*w**2 + 3*w**4 + 4*w**4 to b*w**3 + c*w**2 + m + h*w**4 + a*w and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -12025442 (base 6) to base 13\nAnswer: -10283c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -1\/4  (b) -2\/11  (c) -3  (d) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 212 is divided by 57?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 5615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -318 + 318. Solve -u - u = -5*b + 21, v = -3*u - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k, 1 a, and 1 v when four letters picked without replacement from {a: 1, k: 7, v: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes after 12:04 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 2)*(-2*t + t + 3*t) - 14*t + 65 - 32 - 32.\nAnswer: -16*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(95) - (sqrt(95) + -5*(sqrt(95) + (sqrt(95)*3 - sqrt(95)))))\/(sqrt(5)*1*2).\nAnswer: 15*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the third derivative of -r**7\/35 - 29*r**4\/4 + 5833*r**3\/6 - 21*r**2 + 32*r + 4. Differentiate m(o) with respect to o.\nAnswer: -24*o**3 - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1624)\/(-1015)*(-10)\/(-84)*7\/18.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ooomoooommoomooooooo. Give prob of picking 2 m and 1 o.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 2*j + 4. Let r = -14 + 16. Suppose 5*p - 25 = 0, 3*h + 16 = 4*h + r*p. What is the units digit of i(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-61 - 0) + (49 - 92) + 54.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 514.4 + -514. Which is the third smallest value?  (a) -0.3  (b) m  (c) -3\/7  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 2*q**3 - q + 1. Let h be n(1). Suppose -5*x = -y + 7, -2*x + 4*y + h = 2*y. Sort 2, x, 3 in descending order.\nAnswer: 3, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 26342574?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (45 - 8) + (-8 - 5).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-42)\/34*(238\/(-70))\/((-10)\/(-50)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4.6 + -8. Let o = p - -3. Which is the closest to 1?  (a) o  (b) 2\/3  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 - 0. Let b(m) = 2*m**2 - 12*m - 3*m**2 + 11*m - 7. Determine b(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 8*z + 779 - 7*z - 771. Let c be (-1 + (-22)\/(-6))*3. Let a = -14 + c. Give y(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 4*q. Let a(m) be the third derivative of -m**5\/30 - 13*m**3\/3 + 7*m**2 + 6*m + 14. Determine a(g(z)).\nAnswer: -32*z**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 264, 105, -58, -225, -396, -571?\n\"Answer: -2*r**2 - 153*r + 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = j + 3*j. Suppose 40 = 5*t - j*r, 4*t - 2*r = -2 + 32. Let o be 4\/10 - (-26)\/t. Which is the second smallest value?  (a) 3\/5  (b) o  (c) 7  (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 19612070 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -l**4 - 3 - 4*l**4 + 5*l**4 + l - 4*l**4 + 11*l**3 - l**2 in the form s*l**4 + m*l + q*l**2 + b + k*l**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 73570, 294322, 662240, 1177324, 1839574, 2648990?\n\"Answer: 73583*v**2 + 3*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 247 greater than 223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2560944467?\nAnswer: 2560944467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -1416921.\nAnswer: 5\/1416921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.056  (b) 24\/23  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**3 - 8*f**2 + 18*f - 21. Let b be o(-10). Let p(q) = -990*q - 3. Let i be p(-1). Calculate the remainder when 83 is divided by b\/5 + i\/35.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2378261?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 7206\/(-1803) + 1 + (-6)\/(-2). Is -1 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 64479148*f - 64479148*f + 446*f**2.\nAnswer: 446*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 53*k**2 + k + 93?\nAnswer: 106*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**3 - 8*h**2 - 16*h - 21. Let s be u(-9). Let g be (s\/119)\/((-4)\/(-14)). Solve 0 = -2*k - k + g for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8a05 (base 12) to base 15.\nAnswer: 47ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*z**4 - 44*z**3 - 180*z**2 - 324*z - 216.\nAnswer: -4*(z + 2)*(z + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -21*y**3 - 4*y**2 - 12*y - 14. Let u(n) = 10*n**3 - 2*n**2 - 2. Let w(k) = r(k) + 2*u(k). Determine w(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 10\/35 - (-411)\/7. Let k = 838 - u. Let r = 1818 - k. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 > 46378\/1123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n. Let m(z) = 28*z**2 + 3. Let h be m(1). Let r(k) = h*k + 25*k + 38*k. What is r(t(w))?\nAnswer: -94*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/14*(2 + 2). Let l = 269 - 152. Let z be (-4)\/6 + 130\/l. What is the closest to 2\/7 in z, -6, w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 85 - 87 + 207*d - 27*d. Let r be z(2). Let x = r - 116. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7603964 and 11405946?\nAnswer: 22811892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4384 + -4184. Solve -26*g - x = 24*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-37)\/((-925)\/(-350)) + 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -631345 or -631347?\nAnswer: -631345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -28*j**3*n*o + 103*j**2*n*o + 4*j*n*o - 10*j*o - n wrt j.\nAnswer: -168*j*n*o + 206*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-10272867)\/(-150524)*2\/(-36). Let x = -1\/6842 + c. Calculate the common denominator of 103\/12 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12803918 is divided by 2819?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 52, 120, 210, 310, 408, 492?\nAnswer: 550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 6 + 18 = 0. Solve -3*q + u - 15 = 2*q, z = -2*q - u for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zntzzdzzzozdnzzddzz. Give prob of picking 2 n.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 4098361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s - 20 = -4*s. Suppose s*h = -5 - 5. Let g = 25 - h. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 57068247 is divided by 57068244?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -4, 0.1, -43, 5 in decreasing order.\nAnswer: 5, 3, 0.1, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -1111110022221 (base 3) to base 12\nAnswer: -3249b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -30*n - 9. Let c(z) = -20*z - 6. Give 8*c(y) - 5*j(y).\nAnswer: -10*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 16518 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 - 1. Let b(q) = q**2 + 2*q - 6. Let p be b(-3). Let u be 148\/y*p\/6. What is u rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 380 is divided by 127?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1817.7535889 and 4?\nAnswer: 1821.7535889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 8325 divided by 185\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from lvvlvjaavvjvlaljava.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1223 + 1639*v + 1229 - 2483.\nAnswer: 1639*v - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/14 and -67\/23710.\nAnswer: 165970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**(19\/5)\/o)\/o*o)\/(o**(-3\/8)*o*o*o)*(o\/o**(1\/3))\/(o*o**(-4\/23)))**(-12) assuming o is positive.\nAnswer: o**(-43\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 337*v**3 + 6*v**2 - 6*v - 1. Let r = -37 - -39. Is w(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 254*u - 257. What is the hundreds digit of p(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 201 - 1?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n - 4*n + 0*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + 2 + (sqrt(425) - sqrt(425)*-5 - sqrt(425))*-2)*-3*6)**2.\nAnswer: -64800*sqrt(17) + 13771296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*y - 0*y, -y - 8 = -2*g. Let t(j) = -j**2 + j + 8. Let n be t(-2). Suppose -3*r + z = -5*r + 2, -r = -z + n. Put r, g, -1 in increasing order.\nAnswer: -1, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 3*p - 5 = 1, -6 = -3*p. Suppose 0 = 14*u - 19*u. Let n be u\/(3*(-2 - -1)). Solve -h - 4 + n = r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxxxddd.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.00355 + 673.34355. Let h = -679 + c. Round h to 1 decimal place.\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 + -3 - 21 - (0 - (6 - -3))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve r**3 - 839*r**2 + 13232*r - 52672 = 0.\nAnswer: 8, 823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 5*o + 55. List the prime factors of m(19).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3 + 1 + (2 + -3 - 2). Solve 0*w = w - n, w = r - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 101777 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 133\/4*-15 - 2. Let m = h - -479. Find the common denominator of m and 55\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:32 PM and 1:08 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*z + 14*z = -42 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 12840004841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2301 - 2328. Let s(z) = -54*z. Let u(x) = x. What is i*u(m) - s(m)?\nAnswer: 27*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 352687 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(-4) - 1\/4. Let m = 1156 - 1155. Solve -4*j - 4*r + x = -8, 2*r = 3*j - m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 30617.8 - 26164. What is d rounded to the nearest ten?\nAnswer: 4450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*q + 7 - 23. Solve -n + 26 = 5*t - 0*n, 4*t + q*n - 22 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + -2*sqrt(720)*2*-4 + 3)**2.\nAnswer: 2304*sqrt(5) + 184356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = 25 - 33. Find the second derivative of 3*m + 367*m**3 - 422*m**3 - h + 5*m wrt m.\nAnswer: -330*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -453*d + 144. Let f(g) = 454*g - 173. Calculate 5*f(l) + 6*t(l).\nAnswer: -448*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -0.3  (b) -1\/4  (c) -0.28  (d) 1.99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that 2*b**5\/7 + 298*b**4\/7 - 9340*b**3\/7 + 98724*b**2\/7 - 441990*b\/7 + 716850\/7 = 0.\nAnswer: -177, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 41009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -298, -1, -12, 29 in decreasing order.\nAnswer: 29, -1, -12, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 463.4135 centuries?\nAnswer: 46.34135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1894 + 10305 = -385*u - 4067 - 6387 for u.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -18728, -20290, -21840, -23378?\n\"Answer: 6*t**2 - 1580*t - 17154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 - -7. Suppose 0 = -4*p + r + 113, 0*p - u*p - 4*r + 108 = 0. Let f = 156 - p. Calculate the highest common factor of 32 and f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a**3 + 3*a**2 - a - 2. Let n be m(2). Solve 29 + n*s**4 - 28 - 2*s**2 + s**4 = 0 for s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 25 + -45. List the prime factors of (0 - 48\/w)*15.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 124, 261, 364, 439, 492?\n\"Answer: z**3 - 23*z**2 + 199*z - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -2*d + 12. Solve -14*b**5 + 2*b**d - 6*b + 6*b - 6*b**3 - 18*b**4 = 0 for b.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4188, -8292, -12396?\nAnswer: -16500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-37)\/(-4625)*25)\/(56\/20).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 56\/20 - (-8)\/(-10). Suppose 3*k + 73 = 2*d, -d + 3*d = -o*k + 68. Let m = 75 - d. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 158652.8 litres in millilitres?\nAnswer: 158652800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/4  (b) -58  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 296 = 5*d + 41, 0 = 3*o - d - 237. Let a be 20\/((-3 + 2)*-1). Calculate the highest common divisor of a and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.03803143 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10528 + -1673. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve g + 4 = -3*i, -g + 7 = -i - 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**3 + 37*p**2 + 49*p - 423. What is w(38)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -2*w**2\/9 + 8*w\/9 + 64\/9 = 0.\nAnswer: -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(720)*2*-1 - (sqrt(720) + -3 + sqrt(720) + 0) - -5*(5 + sqrt(720) + -1))**2*-1.\nAnswer: -1249 - 552*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.432468 litres to millilitres.\nAnswer: 8432.468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2610 - -2774. Solve 8*o - 212 + r = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.6 and -70665?\nAnswer: 42399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -147 - 5. Is p a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the first derivative of -1 - 1\/3*w**3 - 9*w - 6*w**2. List the prime factors of s(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (97 - 90)*(-6)\/(-357). Let j = 3 + -9. Which is the smallest value?  (a) v  (b) j  (c) -4\/7  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1093764, 1093771, 1093778, 1093785, 1093792?\nAnswer: 1093799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jeeeetmteeikttieeete. Give prob of picking 2 i and 1 t.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-6)\/(-30) - (260448\/10)\/(-6)?\nAnswer: 3, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*l = 5*h - 17*l - 2096, -2*h = 2*l - 832. Let z = -416 + h. Put 90\/7, z, 0.4 in decreasing order.\nAnswer: 90\/7, z, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:16 AM and 4:32 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**(-7)*w\/(w\/(w\/((w\/w**(1\/35))\/w))*w))\/(w**7)**(1\/3) assuming w is positive.\nAnswer: w**(598\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12030 by -15.\nAnswer: -802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 464987012, 464987010, 464987008, 464987006?\nAnswer: 464987004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -19*f - 61. Let j = -8090 - -8086. Give c(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*k - 17*k - 6863. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2.7  (b) -276656  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1, -19, 251.\nAnswer: -19, -1, 3, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*z + 7*z - 4*z**2)*(-8*z**2 + 10 - 10).\nAnswer: 32*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -833*-34986.\nAnswer: 29143338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -980, -1957, -2934, -3911, -4888?\nAnswer: -5865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the second derivative of 7*n**5\/12 + n**4\/12 - 43*n**2\/2 - 37*n. Let p(d) be the first derivative of c(d). Let k(o) = o. Calculate k(p(g)).\nAnswer: 35*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 717 + -429. Let t = 4285 + -4249. Calculate the highest common divisor of t and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-10)*-1)\/((-3380)\/(-8450))*-44\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03338 rounded to three decimal places?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -2*g**2 - 5*g - 2. Give t(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*d**3\/5 + 684*d**2 + 799383*d\/5.\nAnswer: -3*d*(d - 1339)*(d + 199)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 785 + -782. Let u(g) be the first derivative of -5 - 7*g - 2\/3*g**d + 0*g**2. Differentiate u(s) with respect to s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the second derivative of -2*s**7\/21 + 5*s**6\/6 - 11*s**5\/5 + s**4\/6 + 8*s**3 - 27*s**2\/2 - 1795*s + 2. Find a, given that y(a) = 0.\nAnswer: -1, 1, 9\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lkjkwlkwllk. What is prob of picking 1 k and 1 w?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**2 - y - 7. Let l be q(-5). Let p = -22 - l. Suppose 14 + 0 = m + 3*a, 0 = -p*m - 2*a + 44. Calculate the lowest common multiple of 10 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 139 divided by -1194310.\nAnswer: -139\/1194310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 7*r + 1165 = 0. Is (-1)\/(-1) - 2*r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2901627, -5803275, -8704923, -11606571, -14508219, -17409867?\nAnswer: -20311515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a kilometer in meters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 8 = -2*w. Let h(i) be the first derivative of 2*i**3\/3 - 7*i**2 - 11*i + 188. Let z be h(w). Put 4, z, -11 in descending order.\nAnswer: z, 4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that 3*a**5\/2 + 540495*a**4\/2 + 12171609567*a**3 - 60863993409*a**2 + 73042629615*a\/2 + 219113295075\/2 = 0.\nAnswer: -90085, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1011010101 (base 2) in base 15?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6442, -6505, -6568?\nAnswer: -6631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3491 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the first derivative of u**4\/4 + u**3\/3 - 2*u**2 - 4*u + 3. Factor h(b).\nAnswer: (b - 2)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -3*p**2 - 29*p + 7. Suppose -3*y + f - 32 = 0, 0 = 2*y - 48*f + 45*f + 26. Let b be c(y). Is b greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4\/9  (b) 13  (c) 9  (d) -1  (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -235*g**2 + 7*g - 7*g + 230*g**2. Suppose t + 0 + 4 = 0, 2*v + 4*t - 62 = 0. Let y(b) = 39 - b - v. Determine y(z(q)).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, d: 1, o: 1, u: 1, y: 2, x: 1}. Give prob of picking 1 d and 1 y.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000512 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(1\/22)*y*y)\/y**(17\/2))\/(y*y\/(y**(1\/6)*y)*y*y**13) assuming y is positive.\nAnswer: y**(-1405\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cyf when three letters picked without replacement from {c: 2, n: 1, f: 1, y: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**2 - 9*j + 14. Let i be d(-10). Suppose 0 = 2*h - i*t + 26, 3*h - 7*h + 3*t - 32 = 0. Let k = 15 + h. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 7409.374 rounded to zero dps?\nAnswer: 7409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -214 + 5?\nAnswer: -20c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 2, d: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 80 and 3260.\nAnswer: 13040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1111101101010101100111 - 1?\nAnswer: 1111101101010101100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 339\/2980 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**2 - 10*r - 8. Suppose 28 = n - 5*n. Does 13 divide q(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, -8, 5 in descending order.\nAnswer: 10, 5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 30 + -15. Let z = 33 - b. Solve -4*l - z = -t, -t - 12 - 15 = 5*l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 930*w = 709*w - 180110580. Round w to the nearest one thousand.\nAnswer: -815000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.04, -29550, 14, 0, 4, -13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 2*c - 6 = 0, 3*u + 2*u + 2*c - 30 = 0. Suppose 2*i + 4 = 0, 0 = -2*p + 49*i - 53*i - 2. Solve -u*h - p = 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1206 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence slsn when four letters picked without replacement from lslnlslllnll.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2 - -1)*(0 + -1). Let h be ((-8)\/(-10))\/(3 - -1). Sort h, x, 1\/2 in descending order.\nAnswer: x, 1\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -30*h + 4. Let y(l) = 3*l + 1. Calculate q(v) - 6*y(v).\nAnswer: -48*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the first derivative of -w**2 + 364. Let g(j) = 178*j**2. Give b(g(r)).\nAnswer: -356*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**2 + 27*y - 21. Let p be u(26). Suppose -4*c - p = -5*d - 0*d, 0 = 3*c. What is the third biggest value in 3\/7, d, 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.06 + 0.94. What is the third biggest value in -2, -0.2, b, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 21*g**3 + 357*g**2 + 15*g + 333. Calculate n(-17).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the first derivative of p**6\/45 - 5*p**3 + 30. Let k(r) be the third derivative of o(r). Let x(v) = -2*v + 974 - 974. What is x(k(u))?\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.4?  (a) 0.05  (b) 1\/4  (c) -2\/9  (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3424190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the third derivative of x**5\/90 - 19*x**4\/12 + 56*x**3\/9 + x**2 - 124*x. Factor p(u).\nAnswer: 2*(u - 56)*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 2 + 0)*(84*r + 36 - 36)*(0 + 0 + 2*r + (0*r + r + r)*(1 + 1 + 1)) as n*r**2 + l*r + w and give n.\nAnswer: -672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -64*s - 230 wrt s?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*s**4 + 80*s**3 + 826*s**2 + 1420*s + 672 = 0. What is s?\nAnswer: -24, -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1\/(-1))\/((-2)\/4). Differentiate -3 + 0*f**z + f**2 - 4*f**2 + 0 wrt f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102*a + 180 = -72*a. Solve -4*w = -0*w - a*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1063 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by -139.\nAnswer: 1\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**(1\/6))**(-24))**(1\/8)*(v**(2\/5))**(-29)\/(v**(-2\/23)\/v*(v*v**(5\/4))\/v) assuming v is positive.\nAnswer: v**(-7021\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -268063*l**3 - 156199*l + 1.\nAnswer: -1608378*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-64)\/20)\/((-1)\/(-5)). Let c = -6 - m. Solve 0*j - 4*u - c = -2*j, j + 3*u = -10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/(-14) - 264\/(-42). Suppose -4*k - 50 = 2*w - 162, -t = -2*k. Is w a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 - 1967?\nAnswer: -1965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 = -4*p + 6*p. Suppose -2*a + 4*y + p + 35 = 0, -4*a + 5*y = -95. Let h = a + -10. What is the lowest common multiple of 20 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3cb + ba?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert a (base 12) to base 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1022212 - -22021111121?\nAnswer: 22020011202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 204*a + 508 - 508. Let b(r) = 2*r. Give b(q(m)).\nAnswer: 408*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 120 - 11*z - 120 - z + 2*z + 9*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**3 + 28*q**2 - 77*q + 24. Let j be m(-25). Does j = 3824?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 7*a**2 + 10*a - 4. Let i(f) = 20*f**2 + 29*f - 13. Let l(k) = 3*i(k) - 8*t(k). Let h(q) = -2*q**2 - 3*q + 3. Calculate -7*h(u) - 3*l(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 304850 and 455?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -66 + 70 - (-1 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -269 - 147 = 3*r + 14*r + 162 for r.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-1)\/3)\/((-2)\/(-24)*-2). Solve 2*v - g = 0, -5*v = -o*v - 4*g + 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/45*-6)\/((640\/50)\/4)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 53 (base 9) to base 12.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -148*j**6*z**2 - 2*j**3*z**3 + 12*j**2*z**3 - j**2*z**2 wrt j?\nAnswer: -17760*j**3*z**2 - 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/19459030 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 495\/(-420) + (-3)\/12*1. Suppose f + 5 = -b, 5*f = -b - 6 - 15. Which is smaller: b or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -74*i + 1263. Determine z(17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 230804 - 555314435\/2406. Find the common denominator of -37\/60 and w.\nAnswer: 24060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 10}. Give prob of sequence oo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**3 + 3*h**2 - 5*h - 1. Let b(x) = -x - 7. Let u be b(-3). Let a be r(u). Suppose -a*s = -17 - 130. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.11312 + 0.18312. Let y = 0 - 0.5. What is the third smallest value in y, -2, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the second derivative of -z**7\/15 + z**6\/15 + 37*z**5\/50 + 31*z**4\/30 + 2*z**3\/5 + 2*z + 359. Let y(s) = 0. What is s?\nAnswer: -1, -2\/7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 165*k**3 - 7*k**2 - 26*k + 13. Is m(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/(208\/169))\/(((-6)\/2)\/(-6))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-1968)\/9)\/((-22)\/66) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 235681.65 months in decades?\nAnswer: 1964.01375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:22 PM and 2:07 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0249478 - -378771201.\nAnswer: 378771201.0249478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1246\/55 - -116\/5. Let w = -6.01 + 6. Let u = 1.99 - w. Which is the third biggest value?  (a) u  (b) d  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gegmoet. What is prob of picking 2 g and 2 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*w - 5*w - 516. Suppose -7*b + 2*b + 250 = -2*f, -4*b = 4*f - w. Calculate the highest common divisor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -92 + 79 - (3 - 2) - (-1 + 5).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**3 - 5*g**2 - 6*g. Let n be h(6). Suppose w + 2*w - 132 = n. What is the greatest common factor of w and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2\/39281 + -10998706\/510653. Let g = -573\/26 - q. Let z = -1 + 1.1. Which is the third smallest value?  (a) -3  (b) z  (c) g  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4, 0.4, -0.5, -1.6, -16, -239, 0.3?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5775 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 15) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -28800 at least as big as -403209\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -235915\/8278 at least -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**3 - 3*m**2 + 4*m + 6. Calculate z(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-14\/3)*y*y**(6\/25)*y**(-34)*y**(-6) assuming y is positive.\nAnswer: y**(-3257\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.8454383 + 0.152?\nAnswer: -8.6934383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*k**3 - 2 + 5 - 4 + (-5 + 5 - 3*k**3)*(3 - 2 + 1) - 6 + 5*k**3 + 6.\nAnswer: k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -2\/39, 1, 0.5 in descending order.\nAnswer: 1, 0.5, 0.2, -2\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(21\/2))**(-2\/41) assuming w is positive.\nAnswer: w**(-21\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25802*t + 25789*t = -13936. Calculate the greatest common factor of 144 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g + 3*g + 20. Let y(j) be the third derivative of -j**5\/60 - 7*j**4\/24 + j**3\/3 + 7*j**2 + 7*j - 7. Determine y(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x + 2*r + 79, 3*r = -0*r - 6. Calculate the remainder when 43 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37 divided by -6?\nAnswer: -37\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 24 + -23. What is the closest to p in -4, 2, -1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3940132 and 2569784.\nAnswer: 3052","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-2)\/312*-18)\/((-2)\/(-172)). Let h = c + -511\/117. Is h less than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -4261*p + 1. Let q be i(-1). Let v = -2623 + q. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 18*q - 2 + 6*q + 31*q. Let f(z) = z + 6. Let g be f(-5). Is a(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 + -5. Let v be m*3*(-42)\/9. Solve -2*a + v = 5*j, -6*a - 17 = -3*a - 2*j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the second derivative of -n**4\/12 - 2*n**3\/3 - 5*n**2\/2 - n. Suppose -4*f + 13 = 29. Let d(m) = m**2 + m + 1. What is f*d(g) - v(g)?\nAnswer: -3*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 16*r**2 - 4*r + 6. Let s(i) = 45*i**2 - 11*i + 16. Let j(v) = 11*h(v) - 4*s(v). What is j(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50 is divided by (20 - -3) + (-2 - -5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:55 AM and 2:41 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r + 4*r - 5. Suppose 213*h - 2364 = -181*h. Sort -0.1, r, -0.3, h in descending order.\nAnswer: h, r, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 2 y when four letters picked without replacement from jjyyyjjyyyy.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 91532 and 25253025?\nAnswer: 707084700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -6*g + 2. Give w(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x + 189 = 3*d + 5*x, -3*x = -5*d + 315. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 414083080?\nAnswer: 2, 5, 10352077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*i**3 + 3*i + 4*i**2 + 7*i**3 - 2*i)*(-2*i + 1 - 1)*(-129*i + 84*i + 74*i).\nAnswer: 116*i**5 - 232*i**4 - 58*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 565 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q + 20*l - 256 = 0, 5*q + 0*q - 101 = 187*l - 194*l for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fl when two letters picked without replacement from lfffffeffffefll?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-29 - 6)*116\/870)\/((-14)\/(-84)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the second derivative of -s**7\/21 + 4*s**6\/15 + 4*s**5\/5 - 7*s**4\/3 - 7*s**3\/3 + 10*s**2 + s + 773. Find x such that g(x) = 0.\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 - -3. Suppose 3*i = 39 - 12. Let k = 19 - i. What is the greatest common factor of k and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -25, 131230 = -4*d + 7*d - 4*z. What is d rounded to the nearest one thousand?\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -60\/4199 and 22\/323?\nAnswer: 4199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -13.97461092 to 4 dps.\nAnswer: -13.9746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**3 + 13*y**2 + 13*y + 16. Let w be b(-12). Suppose -q + 25 = -6. Find the second derivative of 2*f - f + 35*f**4 - q*f**w wrt f.\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17)\/((-918)\/(-45))*(-88)\/(-770).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((84\/(-7))\/(-36))\/(6\/27)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the first derivative of 16*u**6\/3 - 21*u**2 + 9. Find the second derivative of s(r) wrt r.\nAnswer: 640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 120 = 4*l, -y + 23 = 3*l - 4*l. Suppose -4*d - 2*n = -66, 0*n = -2*n + 10. What is the highest common divisor of y and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*m - 26*m = -140*m + 7117229. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*10123\nAnswer: 4049.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12\/13*l + 0*l**3 - 2\/13*l**4 - 144\/13 + 38\/13*l**2 = 0 for l.\nAnswer: -4, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 22656, 45311, 67962, 90609, 113252, 135891, 158526?\nAnswer: 181157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/(-2)*(-8)\/(-3). Let z = -129 + 901\/7. What is the second biggest value in 1, z, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:47 PM and 9:47 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -2662694 times 7\nAnswer: -18638858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 17055, 17041, 17027, 17013, 16999?\n\"Answer: -14*g + 17069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes after 8:19 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*b**2 - 166*b**2 + 8*b**2 - 10*b**2.\nAnswer: -176*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -654509, -1309033, -1963555, -2618075, -3272593, -3927109, -4581623?\nAnswer: -5236135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 6) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1273?\nAnswer: 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 3*r = -51, -16 = 3*r - 4. Suppose 0 = -13*y + 3*y + 370. Calculate the remainder when y is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 841*k**3\/2 - 596994*k**2 + 211891698*k = 0?\nAnswer: 0, 20586\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - (1 + -2)) + (-251 - -86 - -141)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 76\/30585 and -109\/20.\nAnswer: 122340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 12*n**3*w**3 - 21*n**3*w + 2*n**2*w**2 - 209*w**3 + 2*w wrt n?\nAnswer: 72*w**3 - 126*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 13 - (5 + -22 + 18 + 19 + -5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 30*i + 26*i - 2*i - 16*i to q*i + n and give q.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -27958 or -27962?\nAnswer: -27958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1119278, -2238679, -3358080, -4477481, -5596882?\nAnswer: -6716283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 5*(sqrt(5) + sqrt(5) + 1) + sqrt(20)\/sqrt(4) + -2 + ((sqrt(5) + 1 + sqrt(500) - sqrt(5)) + sqrt(5))*-5.\nAnswer: -44*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*n - 4*q + 26 - 32, -4*n = -2*q + 12 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 15 + 64. Suppose 4*z = 5*r - 23, r + z + 0*z - 1 = 0. Suppose 0 = r*j + 19 - f. What is the smallest common multiple of j and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/(-6)*(2\/(-1) + 1877 + -81). Which is greater: 567 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24 - (-930 + 937 - (-24 + 0)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 735, 1316, 1901, 2490?\nAnswer: 3083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-336)\/(-204)*(-851)\/1702?\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 11*m**3 + 5*m**2 - 5*m - 2. Suppose -4*y = 18 - 10. Let f(p) = 5*p**3 + 2*p**2 - 2*p - 1. Calculate y*c(t) + 5*f(t).\nAnswer: 3*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11 - -18. Suppose -v - 3 = -5*c. Solve 2 = -2*h - 3*t, -5*h + 4*t - c = 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35467 - 27884 = -9*r. Let o = -2948 + r. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12664023, 12664026, 12664031, 12664038, 12664047, 12664058, 12664071?\nAnswer: 12664086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, 4, 0.1, -42\/17, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -8*p - 7. Let s(x) be the first derivative of 4*x**2 + 6*x + 2. Let g(u) = 6*k(u) + 7*s(u). Let z(i) = -i. Calculate g(z(l)).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62*t - 22 + 40 = -168. Factor a**2 - 1\/4*a**t - 1 + 1\/4*a.\nAnswer: -(a - 4)*(a - 1)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 61*8\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -22, 6, -277, -3 in descending order.\nAnswer: 6, 5, -3, -22, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -26 - 53*t + 45*t - 10. Let h be z(-8). Which is greater: 27 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-100370)\/60)\/((-175)\/42 + 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1000101101110011101111 (base 2) to base 7\nAnswer: 25264114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**2\/5 - 690629*f\/5 + 15884996\/5.\nAnswer: -(f - 23)*(f + 690652)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -1905*h**5\/2 + 272439*h**4\/8 + 73437*h**3\/8 - 102987*h**2\/4 + 81*h = 0.\nAnswer: -1, 0, 2\/635, 3\/4, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-2\/3)\/d**(-1\/18))**(-22)\/(d*d\/(d\/(d\/((d**3\/d)\/d))*d*d)*d\/(d*d*d**1)*d*d*(d\/d**(-6))\/(d**(-7)*d*d)) assuming d is positive.\nAnswer: d**(22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -142\/117 or -11100?\nAnswer: -142\/117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 416*c - 818. Let x be g(2). Solve 28*o - x = 70 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -27581 - -5240413\/190. Find the common denominator of r and -113\/2090.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-17))**23 assuming r is positive.\nAnswer: r**(-391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (156\/60)\/((-33)\/660). Which is smaller: k or -994\/19?\nAnswer: -994\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**2\/4 - 3607*v\/2 + 10830.\nAnswer: -(v - 6)*(v + 7220)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -2*d**2. Let q be ((-24)\/(-9) + -2)*-3 - 2. Let v(i) = 2*i**2 - 4. Let j(u) = 1. Let t(x) = q*j(x) - v(x). Determine y(t(m)).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.98 + -0.12. Let w = u - -3.1. Let j = 84 - 589\/7. What is the third smallest value in 1, j, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 405 and 21.\nAnswer: 2835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*b + 2*i = -30, 5*b + 12 = 2*i - i - 3*i + 14 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p**3 + 11*p**2 - 60*p + 23. Determine k(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*l - 67*l + 2000. Suppose 0*w - 5*w = 5*g - 410, w + 2*g = 87. What is the remainder when w is divided by l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/5, 1, 1\/12, -21643 in increasing order.\nAnswer: -21643, 1\/12, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence miii when four letters picked without replacement from {i: 3, m: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 195944, 191768, 187592, 183416?\n\"Answer: -4176*c + 200120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 17260?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 165 + -70. Let b(q) = -h*q**2 + 4*q + 100*q**2 + 0*q - 3*q. Calculate b(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 times -447453\nAnswer: 3132171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (57 + 59 + 78)*(-5*q + 4*q + 0*q) + q + q + 0*q + 0 - 5*q + 0 to s + d*q and give d.\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 148.4 + -149.4. Which is the biggest value?  (a) -7  (b) l  (c) -0.4  (d) 3  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 184301 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:48 PM and 5:11 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j + 11. Let d be q(9). Suppose -22 = -4*z + 2*b, d*z + 6*b + 4 = 2*b. Suppose 2*s + 4 = 3*p, 4*s - 3*p + 0 - z = 0. Let k(y) = -y + 4. What is k(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (41309\/11452)\/(6\/40) - 10 - (-10)\/(-14)?\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.042 and -5?\nAnswer: 5.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (465 - 375) + 6\/2. Solve -5*z + y = -67 + q, y - 11 = 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 - -12 - (-1 - -10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -6 - -9 - (-4 + 4 + 3). Solve 12 = -4*v - x, p*x + 2 = v - x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/((-1564)\/138 - (-20)\/2). Solve -2*b + 1 = -u*a, -8 = -11*a + 14*a + 5*b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = -5*z + 4*t + 4, 5*z + 2*t - 11 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 146\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (35\/168)\/(6\/(-24))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 + 22 = -17*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 2, o: 2}. What is prob of sequence moom?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 20819 and 3264223?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -73 - -77. Suppose -4*p - i*p + 32 = 0. Suppose 4*k - 106 = 2*b, -3*k - 2*k + p*b = -131. What is the remainder when k is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5.2 + 5. Let u = 42 - 41.5. Which is the closest to -7?  (a) u  (b) 0  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -2*h + 12. Give r(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -124*b + 129*b + 25 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9*i*y**4 + 730*i*y**3 - 40*i*y**2 + 3*i*y - 3*i + 2*y**2 wrt y.\nAnswer: 216*i*y + 4380*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of (-1 - 4\/(-6))*312\/(-52) and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, 1\/3, -1\/4, -12.5 in descending order.\nAnswer: 15, 1\/3, -1\/4, -12.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, -2\/19, -30, 5, 2\/9, -2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pmmp when four letters picked without replacement from {p: 2, m: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 + 1 - ((-152)\/24 + 8). What is the third smallest value in t, -3, -0.195?\nAnswer: -0.195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -9*a**3 + 534*a**2. Let r(c) = -2*c**3 + 134*c**2. Let u(y) = -6*j(y) + 22*r(y). Find the third derivative of u(m) wrt m.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 552 from -3062976.\nAnswer: -3063528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2\/10589 - 518765\/508272. Let l = 3846749\/80 - 48083. What is the common denominator of a and l?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**3 + 9*h**2 + 10*h + 19. Let v be u(-8). Solve 0*s + 24 = 5*s - 2*x, 2 = -s - v*x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, -177, -83.7?\nAnswer: -83.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 2 m when three letters picked without replacement from dmxbixabmmaxbabmd.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -2*q**3 + 16*q**2 + 8*q - 21. Let m be v(8). Suppose 2*y - m = -5*l - 8, y - 3*l = -10. Solve k = h - 1 + 2, -y = 3*h - 4*k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8441*p**4 - 4594*p**4 - 12855*p**4 - 1 + p**4 + 1 + (-p**2 - p**2 + p**2)*(-4 + 2*p**2 + 4) to r*p + q + t*p**2 + v*p**3 + z*p**4 and give z.\nAnswer: -25891","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b + 22 - 21 = -z, -2*z - 2 = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6681*p**4 - 7*p**2 + 10*p**2 + 20*p**3 - 6659*p**4 to the form v*p + t*p**2 + u*p**3 + x + z*p**4 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(65)*-1*3)\/((sqrt(45) + sqrt(5))*2)*-3 + -3.\nAnswer: -3 + 9*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 64.8 times 600511?\nAnswer: 38913112.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -3*f**2 - 48*f + 374. What is o(6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -5510366750 to the nearest 1000000.\nAnswer: -5510000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-208 - 54 - 228)*(2*x + 1 - 1)*(-4 + 5 - 2)*(0 + 4 - 6).\nAnswer: -1960*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2808629 is divided by 128.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 10686, 22 in increasing order.\nAnswer: -10, 22, 10686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 9*j**3 - 3*j - 3. Let w(l) = -25*l**3 - 15*l**2 + 14*l - 1. Let r(k) = 12*k**3 + 6*k**2 - 6*k. Let f(g) = 5*r(g) + 2*w(g). What is -3*f(c) + 2*i(c)?\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the first derivative of 7*b**2\/2 - 19. Let k(x) = 3*x - 90 + 90. What is d(k(z))?\nAnswer: 21*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 26*g - 192 = 0. Let h(d) = -d**3 - 3*d**2 + 6*d + 3. Let v be h(-4). Sort 0.1, g, v in descending order.\nAnswer: 0.1, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16408 and 10.\nAnswer: 82040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 minutes after 12:11 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a + 7. Let s(w) = -53*w + 26. Give 2*k(r) - s(r).\nAnswer: 51*r - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4 in -50, 0.7, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (-10 + 21 + -1 - -13)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/10)\/(14\/(-210*1))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 255229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/14)\/((11055\/(-462))\/67).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -15 + y - 4*y - 12 + 6. Let x be d(-9). Let z(u) be the third derivative of u**5\/60 - 7*u**4\/24 + u**3\/3 - u**2. What is z(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*c = -30 + 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*z + 8*z = 385. Let u be (-2)\/9*(-2073)\/(-6). Let p = z - u. Sort -4, 0, p in descending order.\nAnswer: 0, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a meter in millimeters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2193504 + -2204655.93. Let y = c + 11157.929992. Let g = y + -6. Round g to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19106 (base 11) to base 7\nAnswer: 140660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, x: 17}. Give prob of sequence dx.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1961*u + 25 = -1956*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3\/(2 - 1))\/3. Suppose -4 = -i + r. Suppose i*h = 2*h. Sort h, -4, 3 in descending order.\nAnswer: 3, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1056 = -30*w + 34*w + 40*w for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -48*q + 341. Suppose 0 = -5*r - 3*v + 47, v + 2*v - 33 = -3*r. What is y(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1304 take away 65?\nAnswer: -1369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 48\/19 in -2, 2\/11, -1\/9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3 + (-13 - (-5 - 10)). Let c(l) be the first derivative of -1\/10*l**6 - 7\/20*l**4 - 6 + 2\/15*l**3 + 0*l + 0*l**2 + 8\/25*l**r. Factor c(x).\nAnswer: -x**2*(x - 1)**2*(3*x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 3)*(10 + 8 - 8)*(2*l - 4*l + 3*l)*(-24*l + 11*l + 23*l).\nAnswer: 100*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes before 1:38 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v - 5*k + 16 - 3, 110 = 5*v - 3*k. Calculate the remainder when 35 is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2688 minus -2?\nAnswer: 2690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/281  (b) 1  (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 * -0.034068.\nAnswer: 0.0136272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*j - 105 = -18*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 154163 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(-3)*x**3)**(23\/6) assuming x is positive.\nAnswer: x**(161\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3\/(33\/6 + -19 + 12). Let q(x) = 63*x + 2. What is q(u)?\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -47*t**3 + 5*t**2 + 196*t + 194. Calculate a(-1).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -94*d. Let w(m) = -24 + 3 + 21 + 2*m**2. Calculate w(u(h)).\nAnswer: 17672*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-1 - -3045) + (-57)\/19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 8, c: 5, n: 2, i: 1, k: 1}. Give prob of picking 2 c and 1 k.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -40213*p - 5. Let t(a) = -4*a. What is t(c(x))?\nAnswer: 160852*x + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1368, 1357, 1334, 1293, 1228, 1133, 1002?\n\"Answer: -o**3 - 4*o + 1373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -192a45 (base 12) to base 7\nAnswer: -3512660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-5 + 11\/2)\/(-1*14\/504)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 109 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 331 is divided by 108?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*p**3\/5 - 10309*p**2\/5 + 11157*p\/5 - 2574\/5 = 0.\nAnswer: 1\/3, 3\/4, 858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -228*n + 225*n + 75. Suppose -18*h = -13*h - n. Solve 12 = -a + h*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 214 divide 16561032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 27984 = -3*f, 22*d - 17*d = -f + 9358. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 18*k**3 + 34*k**2 - 4*k = 0. What is k?\nAnswer: -2, 0, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1834?\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10 + -5. Let k(a) = 2*a**2 + 3*a. Let f(p) = 3*p**2 + 5*p. Let h(l) = z*k(l) - 3*f(l). Let r(c) = -c**2. Determine r(h(w)).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 5146051, 5146052, 5146053?\n\"Answer: c + 5146050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -4*v**3 + 2*v**2 + 4*v - 5. Let x(u) = -8*u**3 + 5*u**2 + 9*u - 11. Calculate -9*l(t) + 4*x(t).\nAnswer: 4*t**3 + 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add together -84 and -5309.\nAnswer: -5393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**6\/u)\/(u\/u**1)*(u**0*u*u)**9 assuming u is positive.\nAnswer: u**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 11802.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, -4, -2, -1\/3, -371\/2 in ascending order.\nAnswer: -371\/2, -4, -2, -1\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -28895 in 3\/5, 50, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(1\/3))**(2\/3)*(((k\/k**(-4))\/k)\/k)\/k**(2\/7))\/((k**0\/k*k)**14\/(k**(-1\/2)*k*(k\/(k\/k**(-3)))\/k*k)) assuming k is positive.\nAnswer: k**(55\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**3 - 18*n**2 + 2*n - 28. Determine j(18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -419.05, -4, -9\/5, -1\/2?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 + 3017953\nAnswer: 3017953.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8*o*y**3 + 235981*o + 477*y**3 + 6*y**2 wrt y.\nAnswer: -24*o*y**2 + 1431*y**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1141601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 + 9. Suppose 0 = -d*m + 10 - 13. Which is bigger: -16\/7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((6 - 2)\/8)\/(77\/9971038) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37222499.\nAnswer: 37222499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9 + 0. Let v = 1 - z. Solve -3*r - 15 = 0, -8*s - 3*r + v = -3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (4*sqrt(8)\/sqrt(4))**2 + sqrt(2) + 0.\nAnswer: sqrt(2) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, f: 1, z: 2, y: 1}. What is prob of sequence fu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 e when two letters picked without replacement from {t: 4, l: 4, x: 4, e: 2}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6357 (base 9) to base 6.\nAnswer: -33341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the first derivative of y**6\/180 - 56*y**3\/3 + 57. Let q(t) be the third derivative of l(t). Let w(v) = 34*v**2. Give q(w(d)).\nAnswer: 2312*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*j**2 + j - j**2 - 16*j**2 - 2*j**2 as z*j**2 + t + o*j and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -87 divided by 5.\nAnswer: -87\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 78170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14486, 28672, 42858, 57044, 71230, 85416?\nAnswer: 99602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, -5, -0.04 in descending order.\nAnswer: 5, 3, -0.04, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the first derivative of -12\/5*n**5 + 4*n + 0*n**4 + 5 + 0*n**3 + 0*n**2. Find the first derivative of x(t) wrt t.\nAnswer: -48*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**3 + 8*r + 6. Let g be p(3). Sort -5, -6, g.\nAnswer: -6, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 663205 to the power of 1\/2, to the nearest integer?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -421161 - 39.1668?\nAnswer: -421200.1668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3241 is divided by 3154.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7466 or -97068\/13?\nAnswer: -97068\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:58 PM and 3:57 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kmk when three letters picked without replacement from {m: 2, c: 3, k: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -1, 0, -2, 1041\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 32.81 - 1.81. Let v = r - 30. What is the closest to 3 in -3\/5, 1\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.29 + -3.29. Sort 2\/19, k, -2 in descending order.\nAnswer: 2\/19, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 60677011*1.8\nAnswer: 109218619.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ippt when four letters picked without replacement from tttpppippppptp.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 7*f**2. Let r(l) be the second derivative of 5*l**4\/4 + l**2\/2 + 982*l. Determine y(r(k)).\nAnswer: 1575*k**4 + 210*k**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the second derivative of -h**7\/2520 + h**6\/360 + h**5\/120 - 19*h**4\/6 - 260*h. Let x(d) be the third derivative of u(d). What is x(5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 156 - 160 + 2*v - 15*v - 91*v**2 + 7*v + 7*v to the form o + m*v + b*v**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -138786, 2, -5 in increasing order.\nAnswer: -138786, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1681829 = -138*m + 559291. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 2*k = 0, k - 1 = 2. Suppose -3*v = 5*m - 25, p*v = 5*v - 15. Suppose -5*o + 3*a - 4 = -116, -68 = -3*o + m*a. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 313320 - 50?\nAnswer: 313240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**3 - 4*m**2 + m + 4. Let r be v(4). Let d = r - 9. Find the common denominator of -26\/3 and 1\/(-18)*122 - d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 2*u + 3. What is c(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 13151 - 30041?\nAnswer: -12450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 205?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2629 - 1453. What is the remainder when 125 is divided by r\/18 + 1\/(-3)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.2  (b) -27  (c) -274\/5  (d) -2  (e) 0.49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the third derivative of 1\/2*j**3 + 0 + 0*j**4 + 0*j - 1\/60*j**5 + j**2. What is the derivative of t(f) wrt f?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-424)\/(-424)*(-3)\/(18\/4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-7 - 0)\/(-8 - -7). Which is greater: 8 or t?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2092.463nm in centimeters?\nAnswer: 0.0002092463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 277*i + 22161. What is g(-80)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -54599, -54545, -54489, -54431, -54371, -54309?\nAnswer: -54245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*s - 4*s + 2*s)*(0*s + 0*s + 2*s) + (-4*s + 23 - 23)*(-9*s - 11*s + 11*s))*(s**3 + 0*s**3 + 0*s**3).\nAnswer: 38*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 4*i = i - 21, -2*f - 28 = -4*i. Let l be (-27)\/6 + 2\/f. Which is smaller: l or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h = 46*g - 136, 287 - 211 = 5*h - g for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 140 - 20 = 10*t. Let f be ((-12)\/21)\/(t\/(-84)). Solve -5*k = -f*z + 3*z - 7, k = -3*z + 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1296)\/15 + (2*(5 - 4))\/(45 - 40)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -2*w**2 + 10. Let z(v) = v**2 - 8*v + 23. Let o be z(7). Let h(j) = -j**2 - 4 - 12 + o. Determine b(h(a)).\nAnswer: -2*a**4 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**3 + 13*j**2 - 29*j + 15. Let a be k(-15). Suppose 17*c + 204 + 51 = a. Let i(t) = -6*t**3 + 15*t + 15. Let u(q) = q + 1. Determine c*u(v) + i(v).\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-8)\/14 - 7\/(147\/(-222)). Calculate the greatest common divisor of 110 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/4*2\/3. Let q = -77 - -99. Which is the nearest to q?  (a) u  (b) 2\/5  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 6 - 4 = 0. Let v(f) = 3*f + 3. Let c be v(-6). Calculate the remainder when (3 + c)\/((-3)\/k) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2145113 + 4290230 - 2145117 - 6*a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 588 is divided by 162.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**2 + z - 9. Give v(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from hkhkhhhkq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 315 and 153965.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 589 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: Find the common denominator of -88\/595959 and -87\/152810.\nAnswer: 5959590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5\/3*o - 1\/3*o**3 - 2\/3*o**2 + 2.\nAnswer: -(o - 2)*(o + 1)*(o + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 282941 is divided by 39177.\nAnswer: 8702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 223\/12 + -77\/4. Sort 1, -0.4, -1, b in increasing order.\nAnswer: -1, b, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 952?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**2 - 12*k + 27. Let g(p) = p - 3. Let f be g(6). Let i be q(f). Solve i*m + 3*m + 7 = 2*o, -3*m + 5*o + 5 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -2*c**3 + 11*c**2 + 3*c - 27. Let o be d(5). Solve -o*u = -8*u - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 200 + -234. Let v = a + 36. Calculate the greatest common divisor of v and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(165)\/(sqrt(5) + sqrt(45)\/(sqrt(45)\/sqrt(5))))\/(sqrt(24)\/(-4*(sqrt(8)*-2 + sqrt(8)))).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 13\/4  (b) -0.9  (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 18999902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*i - 63*i = 106 + 74 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {d: 3, b: 8, p: 2, m: 3, n: 1, t: 1}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c**3 - 48*c**2 + 459*c - 24881. Give n(49).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9.395 + -4.949. Let a = q + -4.5. What is a rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1403 (base 7) to base 11.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vgek when four letters picked without replacement from {g: 1, k: 3, v: 1, e: 3, f: 2}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((1*(sqrt(180) - sqrt(180)*-1))\/(1*(sqrt(192) - sqrt(12))))\/(sqrt(36)\/(sqrt(72)\/sqrt(96))*-4).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -p - 12. Let c(q) = -9*q - 13. Let x(n) = n**2 - 6*n - 8. Let z be x(6). Let m(j) = 3*j + 4. Let w(k) = z*m(k) - 3*c(k). Give w(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 2866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 864855519?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-3)\/(y\/(y*y**(-9\/8))) assuming y is positive.\nAnswer: y**(-33\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:43 PM and 2:25 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 5 + -229\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -127, 29, 10 in ascending order.\nAnswer: -127, 10, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -4*u**3 - 192*u**2 - 704*u = 0.\nAnswer: -44, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttcctttt. Give prob of picking 2 c.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -54 + 83. Suppose -j + 2*j + s = 0. Let i = j - -32. Which is smaller: 2 or i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -27\/22594 and -29\/12324.\nAnswer: 135564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 57\/530 and ((-33)\/(-1))\/(1 - 101).\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + x - 8 = -4*w, -5*x - 3*w - 17 = 0. Let d = -1.01 + 1.11. Let v = -16 + 11. Which is the closest to d?  (a) -3\/2  (b) v  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4, -23, -42, -61?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15201 is divided by 402?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 225*b*r + 5*b*x - r*x**4 + x**4 + 2*x**2 wrt x?\nAnswer: 5*b - 4*r*x**3 + 4*x**3 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (396\/2310)\/((-12)\/(-20)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes before 2:47 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 4*f = 1. Let o(j) = 3 + 5*j**2 + 41*j - 39*j - 2. Calculate o(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 572153347097 and -2.6.\nAnswer: 572153347094.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -39 - -74. Suppose 0 = 6*y - y - s. Solve y*h = 2*h + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 - -5053102.236?\nAnswer: 5053179.236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qubuqqe. What is prob of picking 1 q, 1 b, and 1 e?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = 11*k - 72. Let h(s) = 10 - k*s**2 + 3*s**3 - 2*s**3 - 119*s + 62*s + 53*s. Give h(7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1 - (3 - 2) - -6. Let r(x) = x**2 - 11*x + 14. Let n be r(10). Let p be n + -1 - (-32)\/16. Sort o, p, 1 in increasing order.\nAnswer: 1, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1458 * -0.53.\nAnswer: -772.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 1163452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 take away 1231?\nAnswer: -1230.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 10919, 43400, 97515, 173258, 270623, 389604?\n\"Answer: -q**3 + 10823*q**2 + 19*q + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (28\/(-3))\/(52\/(-78))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 189981 and 168872?\nAnswer: 1519848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*w + 2*w - 332. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5572, 5437, 5300, 5161, 5020, 4877?\nAnswer: 4732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 478.1, 0.3, -0.1 in increasing order.\nAnswer: -0.1, 0.3, 478.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 52876 divided by 17?\nAnswer: 52876\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 4*m = 139, 2*d + 5*m = 161 + 65. Is d a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*g**5\/3 + g**4\/2.\nAnswer: g**4*(8*g + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5454.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -6980 divided by 1745\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 108 - 108. Suppose u*g + 17 = 17*g. Solve 2*c + g = -4*k - 1, 3*c - k + 3 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 122, 225, 350, 509, 714, 977, 1310, 1725?\n\"Answer: 2*r**3 - r**2 + 92*r + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3381 = 4*q + f + 3385, 2*q = -5*f + 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 545 a factor of 398380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:43 AM and 7:29 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-14)\/((m*m**(-1\/11))\/m) assuming m is positive.\nAnswer: m**(-153\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:07 AM and 11:11 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(-3*(-3 + -5*(sqrt(6300) - (0 + sqrt(6300)))) + -1))**2.\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 83620.1nm in centimeters?\nAnswer: 0.00836201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 548 + -517. Calculate the highest common divisor of 2 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**2 - x. Let z be l(-3). Let m(y) = y**2 + 13*y - 29. Let o be m(-15). Solve -o = -5*q - 2*r, 3*q + 2*r + 3*r = z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*6*2*sqrt(144))\/(6*(sqrt(108) + sqrt(108) + 1*sqrt(108) - sqrt(108)) - (sqrt(108) + sqrt(108) + sqrt(108)*-2*5)))**2*6.\nAnswer: 2592\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = -t - t - 3*y, y + 4 = 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -675.2 - -1.\nAnswer: -674.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -36 + 126. Is 25 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2379809852.\nAnswer: 2, 7, 12141887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.912 or -8827.6?\nAnswer: -8827.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 159*h = 162*h + 5*n + 7, 2*h + 3*n = -4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1195 divided by -1842?\nAnswer: -1195\/1842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18927 + -18929. Let w = 0 + 0. Is w equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1626004 = -3*c - 2*y, -3*c - y - 1083998 = -5*c. Round c to the nearest 10000.\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*q + 3 - 3)*(-3 + 1 + 3 + (-1 + 1 - 2)*(4 - 2 - 3) + 2 + 0 - 1 - 2 - 1 + 1)*(-26 + 26 + 90*q) as d*q**2 + f + x*q and give d.\nAnswer: 900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 35*q**2 - 9*q + 1. Let b be c(-4). Suppose -b = -4*u + u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2084667921?\nAnswer: 3, 7, 53, 69371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 + 18458?\nAnswer: 18459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.96 not equal to -30.5657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*d + 15 - 109*d + 49*d + 26*d.\nAnswer: 5*d + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -86*d + 11 + 7 + 11 + 49*d + 36*d. What is z(22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the third derivative of w**5\/30 + w**4\/12 + w**3\/2 + 8*w**2. Is n(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, q: 4, t: 3, z: 3, b: 4, d: 4}. Give prob of sequence tqq.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21205016?\nAnswer: 2, 7, 378661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*n - 4*n - 4*n - 3*n in the form q*n + i and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 451 and 65813?\nAnswer: 2698333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 18*f*n**3 - 5*n**3 wrt f.\nAnswer: 18*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**2\/4 + 16405*h\/4 + 5431314.\nAnswer: (h + 1453)*(h + 14952)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 11326453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + (1*3*sqrt(1331) - (4 + sqrt(1331) + -4 + sqrt(1331) + sqrt(1331))) + 2)**2 + 5)*-2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f\/f**2*f*(f**9\/f*f)\/f assuming f is positive.\nAnswer: f**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -34873*y + 46. Suppose -5*p + 26*p - 42 = 0. Let n be g(p). What is n rounded to the nearest 1000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3381 and 93309804?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 71096040 to the nearest one hundred thousand.\nAnswer: 71100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**2. Let a(r) = 12259*r**2 + 207*r - 414. Let b(o) = 119*o**2 + 2*o - 4. Let i(q) = 2*a(q) - 207*b(q). Give i(l(m)).\nAnswer: -115*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 187406781 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the second derivative of 4*b**6\/15 - 3*b**5\/10 - b**4\/6 - 6*b + 13. Let w(j) = 0. Calculate j.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 141041401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the second derivative of r**6\/15 + 749*r**5\/20 - 511*r**4\/4 - 2*r - 541. What is the third derivative of t(x) wrt x?\nAnswer: 48*x + 4494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11b00c (base 14) to base 16\nAnswer: 940e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12828, -23891, -33190, -40725, -46496, -50503?\nAnswer: -52746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -32 in -0.4, -1\/6, 3\/5, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -2*p**3 + 15*p**2 - 2*p + 8. Let b be c(6). Suppose -2*z - 27 = -35. Let l be -11*(-20)\/16 - 3\/z. Calculate the greatest common factor of b and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*i - 45 = 10*i. Suppose 3*k = i*k - 3222. Let s = k - 66. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the third derivative of -a**4\/24 - a**3\/3 - 2*a**2 - 222. Determine g(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 309 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 5 - 7 = 0. Let q be y*(-2)\/(-32)*4. Solve -4*x = 0, 5*l + 14 = -3*x - q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.297 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -29, -42, -55, -68, -81, -94?\n\"Answer: -13*f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 912867710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1 - 0)*320\/80. Let l be ((-636)\/22)\/(-6) + g\/22. Which is the third smallest value?  (a) l  (b) 0.2  (c) 6.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 3*r**3 - 47*r**2 - 9*r + 24. What is the remainder when a(16) is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -301 + 331. Find the second derivative of 16*r - z - 20 + 49 + 105*r**5 wrt r.\nAnswer: 2100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2953620944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 293 a factor of 79118790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 64 + -22. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 114 and 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {u: 2, a: 5, c: 9}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**2 - 51*g + 8. Let a(s) = -3*s**2 - 140*s + 22. Let u(h) = -4*a(h) + 11*x(h). Let d(b) = -b**2 + b - 5. What is -d(t) - 2*u(t)?\nAnswer: -t**2 + t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3412 (base 5) to base 9.\nAnswer: -585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d**5 + 138*d**4 - 1526*d**3 + 3822*d**2 + 5488*d = 0 for d.\nAnswer: -1, 0, 7, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the first derivative of 965*l**2 - 23*l + 19. Let w be x(9). Suppose -22*c = -11*c - w. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 2, k: 1, p: 3, z: 1}. What is prob of sequence pptk?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 11) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2499.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 32495*n + 64988. Determine x(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 + -2. Let g be -39*(-4 - a) + 1. Let w be 0\/(0 + 1) - g. Round w to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 108 and 1782.\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 141841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 149  (b) 0.1  (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/3*-1*3. Let u be (-2)\/(t*3 - -2). Suppose -m + 3*d = -u*d, 0 = -5*m + 4*d. Is -1\/5 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 32.9059 + -0.0059. Let v = 33 - h. Let t = 1.1 + -0.2. Sort v, 2, t.\nAnswer: v, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = m + 4*t, -6*m + 5*t + 135 = -m. Suppose 0 = -m*c + 21*c + 5*u + 10619, -2*u = -3*c + 7973. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 90 or 628\/7?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4552 + 1429. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10 - -10. Which is smaller: h or 12?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 693\/286 + -2 + 4\/52?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2*(-4)\/(16\/22). Suppose -81736630 = b*k - 13*k. Let r = 27468315 - k. Round r to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 4 = -0*m. Let b = m - -1. Suppose 6*n - 4*n + 4*p + 26 = b, -10 = 5*n - p. Let l(v) = -v**3 - 4*v**2 - 2*v - 1. Determine l(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 36*r**2 + 1 - r**4 - 36*r**2 + 5*r**3 + (-1 + 0 + 3)*(-1 + 1 + 2*r**4).\nAnswer: 3*r**4 + 5*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**3 - 7*u**2 + 11*u - 21. Let r be l(6). Let w(f) = -2*f**2 + 16*f + 18. Let v be w(r). Put 2, -2, v, -5 in descending order.\nAnswer: 2, v, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31798096?\nAnswer: 2, 11, 19, 37, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 21*(2 + -1)*(5 + 4). Suppose 0 = j + 4*h - 127, -2*j + 0*j = -5*h - o. Let g = j - -42. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -v + 5*d - 31, -2*d = -10. Suppose -v*u + 9*u + 14 = 0. Suppose -5*b = 3 + 17. Sort -1, u, b in decreasing order.\nAnswer: -1, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36591 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 250137 and 111172?\nAnswer: 1000548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c**3\/c))\/(c\/c**(-5))*(c*(c*(c*c*c*c**(1\/3))\/c)\/c)\/c**(-2\/11)*c**6*c*c*c*c*c**1*(c*c*c**0)**39 assuming c is positive.\nAnswer: c**(2822\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.2, 0.5, -36, 0.2, 0.32?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 32 + -27. What is the greatest common divisor of o and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1\/8, 0.3, -48, 14, 1\/2, 65 in decreasing order.\nAnswer: 65, 14, 2, 1\/2, 0.3, 1\/8, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 2 + 3 - l - 3. Let x be v(-10). Let t(k) = 5*k**2 - 1. Let f be t(1). Calculate the greatest common divisor of x and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7190 is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 4*u**2 - 555*u + 2165. Determine q(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 2*w - 2*b - 184, 0 = -w - 3*b - 84. Let z be w\/5*(-30)\/6. Suppose -6*m + 2*m = -z. What is m rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.4, -432, 8, -3\/8, -3 in decreasing order.\nAnswer: 8, 1.4, -3\/8, -3, -432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -30*u**3 - 14*u**2 - 9*u - 38. Is r(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s + 93 - 95. Let k(p) = 180*p**2 - 97*p**s - 33*p**2. Let r(m) = -2*m**2. What is k(r(y))?\nAnswer: 200*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**3 + 1107*o**2 + 4403*o - 9916. Give s(-1103).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 7, g: 2, q: 4, r: 1, h: 4}. What is prob of picking 1 h, 1 q, and 1 r?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 984, 5 in ascending order.\nAnswer: 2, 5, 984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 - u + 1 + (41*u + 90*u - 10*u)*(-2 + 1 + 5).\nAnswer: 483*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 266555*p**2. Let c(y) = -y. What is c(w(i))?\nAnswer: -266555*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nrftrrnrrn. What is prob of picking 1 f and 1 r?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 41 = 3*t, 0 = -2*t + 3*t + 1. Let f = -36 - a. Suppose 0 = 2*j - f*s + 6*s - 238, 640 = 5*j + s. Is j a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**2 - 7*w + 5. Give z(11).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**3 - 15*k**2 + 22*k + 43. What is the units digit of g(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 1, 3, 5, 0.27, 60, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5808624 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 717780 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:02 PM and 7:38 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**2 + y + 3. Let c be l(0). Suppose c*g - 24 = -g. Suppose 3*o - g*o - 12 = 0. Let r(j) = j**3 + 4*j**2 - j - 4. Calculate r(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*o**5\/15 + 24*o**4 - 4916*o**3\/15 - 376*o**2 + 4918*o\/15 + 352 = 0. What is o?\nAnswer: -1, 1, 16, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -10*o. Let u(v) = 4440*v + 274. Determine d(u(q)).\nAnswer: -44400*q - 2740","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/66 + (-1600788)\/(-47124).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -46*i**2*j*z - 2*i**2*j + 2172*i**2 + i - 313*j*z + 1199*j - z wrt i?\nAnswer: -92*i*j*z - 4*i*j + 4344*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -14594 or -14593?\nAnswer: -14593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.0770525*3\nAnswer: 0.2311575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h + 3*l + 3060, 0 = 2*h + l + 720 - 2778. Is h a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -27420 + 38633. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/(-7 - 200\/(-32)). Suppose c = 2 + 1. Solve 5*i + 3 + 0 = 2*f, -i = c*f + r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24\/(-9) - (-43)\/(-129)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -3*b - 110, 2*b + 13 + 32 = -3*w. Let d be (48\/(-60))\/((-4)\/b*-3). Solve 18*i = 16*i + d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: Solve 0 = -27*a - 2*a + 58 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 233 is divided by 117.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (70\/4)\/(-5) + 4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g. Let i be (-142)\/5 + (-12)\/(-30). Let o(m) = -72*m + 28. Let h(k) = 13*k - 5. Let f(a) = i*h(a) - 5*o(a). Give f(n(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3  (b) -23  (c) 5  (d) -1\/3  (e) -0.14  (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -6, 1, -17 in ascending order.\nAnswer: -17, -6, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 982 + -982.2. Let i = -6 + 11. Suppose -l = 3*l + x - 18, 0 = -l + i*x - 6. What is the nearest to 4 in n, -0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 368202 is divided by 367378?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/7 + 94\/14. Suppose -d - s = -z, 0 = 5*d - 2*s - 44 - 19. Calculate the remainder when d is divided by ((-6)\/(-4))\/(1\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -m - 20. Let x = 1 + m. Let z be ((-3)\/x - 0)*6. Is 5\/2 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**3 + 6*s**2 - 17*s - 4. Let p be u(-8). Solve -z = -0*z - p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -473338  (b) -2\/9  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 66306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 4 * -55937\nAnswer: -223748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 159, 161, 163?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 14 and 705647222.\nAnswer: 705647222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 4*t = 358, 2*m = -6*t + 2*t + 398. Is m a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -25*o**4 + o**3 - 30*o**2 + 22024*o wrt o?\nAnswer: -300*o**2 + 6*o - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2113 is divided by 451.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**2 - 5*p + 6. Let s be b(4). Let m = 2 + s. Suppose 0 = m*n + n - 50. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 60165 is divided by 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in g - 9071*g**3 - 9067*g**3 - 9044*g**3 + 27176*g**3 - g.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18558 is divided by 119.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 817123 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 477.3 less than -39.07?\nAnswer: -516.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 f, 1 r, and 1 c when four letters picked without replacement from rrcrrrrrcwfcrfrr?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.2, -2, 0.6, -4\/7, -0.05?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p + 2*p - 37. Let u = 8 + p. Let k be 6\/2 - (-37 - -10). Calculate the greatest common divisor of k and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 35 = -4*n - 0*n, -5*n = 3*l + 10. Let f be (-2)\/n - (-12)\/20. Is ((-153)\/(-18))\/(f\/34) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 15\/21 + 1350\/70. What is the derivative of 9*m**2 - 5*m**2 + 3*m**2 + 10 + z*m**2 - 2*m**3 wrt m?\nAnswer: -6*m**2 + 54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 373.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, -1\/2, 0.4, 26, -10 in increasing order.\nAnswer: -10, -1\/2, -0.3, 0.4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 77 and 5302.\nAnswer: 37114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**2 + 2*y + 37. Determine g(10).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.1  (b) 2832  (c) -1\/4  (d) -0.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -7, 42, 2 in descending order.\nAnswer: 42, 4, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -335, -641, -947, -1253, -1559, -1865?\nAnswer: -2171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*u + 4*r + 19, -5*r = -9*r - 16 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**2 + 4*r - 4. Let l be f(-4). Let k be (2\/l)\/((-2)\/(-4)). Let z(t) = -37*t + 1. What is the remainder when z(k) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3298 - -3823. What is the remainder when g is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -198*t**3 - 92*t**2 + 104219 with respect to t.\nAnswer: -594*t**2 - 184*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4739 = 666*s - 66677 for s.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 4*h**2 + 15*h + 14. Let i be c(-1). Suppose i*p + 3*t = 498, -3*t - 636 = 3*p - 7*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -146 - (-3 + (-1 - -6)). Let v be ((-333)\/n)\/(((-18)\/(-8))\/3). Let g(l) = -l**3 + 3*l**2 - 4*l + 2. Give g(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/5, -3, -2\/17, 2\/7, -105?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1672 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10542552 is divided by 411?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 2*v**3 - 80*v**2 - v + 49. Let j be p(40). Do j and 312 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -105 + 73. What are the prime factors of (-5 - -2)*z\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -159, -147, -123, -87, -39, 21, 93?\n\"Answer: 6*w**2 - 6*w - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 342 + 6*a - 7*a - 54 + 60 as o + f*a and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/13, -9, 0.1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -55 + 19. Calculate the remainder when 35 is divided by (a\/(-30))\/(1\/10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(3 + 5 + -2 + 4*sqrt(128))**2 + 3.\nAnswer: 1152*sqrt(2) + 6255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 500 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 33.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 14*k. Let v(t) = -136*t**2 - 12*t - 21. Let o(y) = -19992*y**2 - 1768*y - 3094. Let w(c) = 6*o(c) - 884*v(c). Determine x(w(q)).\nAnswer: 3808*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 496871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -175*q**5 + 77165*q**4\/3 - 150740*q**3\/3 - 8780*q**2\/3 + 11600*q\/3 = 0.\nAnswer: -2\/7, 0, 4\/15, 2, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add -18259501 and -0.031.\nAnswer: -18259501.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.09129 - -12.07071. Let t = -12.3 + v. What is t rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*v**2 + 2*v**2 + 0*v**2 + (-4 + 5 - 2)*(10*v - 6*v + 4*v**2 - 3*v) in the form x*v**2 + j*v + y and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 0 - o)*(13*o - 22*o - 26*o) in the form p + i*o**2 + k*o and give i.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence up when two letters picked without replacement from {p: 1, l: 2, u: 1, g: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1804 divided by 902?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 681941726*r. Let p(t) = 2*t. Calculate l(p(v)).\nAnswer: 1363883452*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 5*m. Let x = 8 - 8. Suppose -f + m + 7 = x. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d - 2*d**3 + d - 4*d**3 - 7*d**3 + 0*d**3 + (2*d**2 - 1 + 1)*(1 - 1 + d).\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -152, -685, -1582, -2849, -4492?\nAnswer: -6517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - 3 - (2 + 0)) + -2 - 19?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 1037*h**3 + h**2 - 9*h - 11. Determine i(-1).\nAnswer: -1038","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -22 - -26. Let d(t) be the second derivative of t**5\/60 - 5*t**4\/24 - 2*t**3\/3 + 3*t. Let w(h) be the second derivative of d(h). Give w(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-130)\/(-4)*96*(-16)\/(-4992)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 29214, 58339, 87436, 116499, 145522, 174499?\n\"Answer: -k**3 - 8*k**2 + 29156*k + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -31 + 46. Do 14 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15683928269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:03 AM and 2:13 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -3*y. Let z be t(-3). Suppose 3*g = -z, -2*g + 45 = 3*s - 6*g. Suppose -6*p = -s - 1. Solve -3 = p*m - 5*i - 6, -4*i = -3*m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the third derivative of -l**6\/40 + 3*l**5\/10 + l**3 - 3*l**2 + 13. Calculate the smallest common multiple of 18 and x(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 3*f**3 + 6*f**2 - 7*f - 4. Calculate v(-4).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*q**4 - 38*q**3 + 38*q**2 + 12*q = 0. Calculate q.\nAnswer: -1\/4, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/2253 and 5\/27603.\nAnswer: 20729853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 581387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-10)\/(i*i**(3\/25))*i*i**20*i*i\/((i\/i**(1\/36))\/i))**(1\/48) assuming i is positive.\nAnswer: i**(10717\/43200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 7, u: 4}. Give prob of picking 2 u.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0003414557 rounded to five decimal places?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (38 - 94 - 44)*(-2*n - 69 + 149 - 34) to the form i + q*n and give q.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 85*y + 102*y + 3*y + 7*y.\nAnswer: 197*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1320542 (base 7) to base 12\nAnswer: 8424b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -22, 2, 3, 0, 33, -202 in decreasing order.\nAnswer: 33, 3, 2, 0, -22, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 640721, 0.2, 1\/4, 0, 3.\nAnswer: 0, 0.2, 1\/4, 3, 640721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 + -2. Let o(t) = 2*t**3 - 4*t**2 + 5. Let v(u) = -3*u**3 + 6*u**2 - 8. Determine p*v(i) - 8*o(i).\nAnswer: -i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -2*n**3 - 4*n**2 + 4. Suppose 3*i - 13 = -j + 5*j, -2*i = 2. Let t be (-6)\/j - (-7)\/(-2). Let v be u(t). Sort -2, v, 1.\nAnswer: -2, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 61 (base 15) to base 8\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1*577\/4)\/((-1)\/4). Let q = -174 - -576. Let k = p - q. Is k a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 - 1 - 1)*(7 - 3 - 2)*(3 - 4 + 3)*(a - 4*a + 2*a)*(880 - 106*a**2 - 880) as b + j*a**3 + d*a**2 + p*a and give j.\nAnswer: 1696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -4, 53, -0.1, 14, -13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes after 4:28 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.0432 and -0.27.\nAnswer: -0.2268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f\/((f*f**3)\/f*f))*f)\/(f\/f**(3\/5)*f))\/((f*f**(1\/7)\/f)\/f**(-2\/5))*(f**(-1\/2)*f)**44\/(f*f**8*f\/(f*f**5*f)) assuming f is positive.\nAnswer: f**(772\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i**5\/9 - 26*i**4\/3 + 44*i**3\/9 + 32*i**2\/3 - 52*i\/9 - 2 = 0. What is i?\nAnswer: -1, -1\/4, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w - 9. Let r(s) = -1. Let c(l) = -o(l) + 2*r(l). Let m be c(5). Let t be (-40)\/(-18) + 30\/(-135). Solve t*d + 4*x = 4, 4*x = -4*d + 2 + m for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l**2 + 2*l**3 + 2*l**2)*(3*l**2 + l**2 - l**2 + (0*l - l + 0*l)*(-2*l + 0*l - 2*l)).\nAnswer: 14*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61 is divided by 52?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(75) + 0 + (1*sqrt(147))**2.\nAnswer: 5*sqrt(3) + 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.14  (b) 9  (c) 2\/59  (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 106, 116, 120, 124, 134?\n\"Answer: r**3 - 9*r**2 + 30*r + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3214022393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - 3) + 2 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) -2\/3  (c) -0.1  (d) 6  (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-12)\/i*i**3\/i)\/(i\/i**14*i\/((((i**(2\/3)\/i)\/i)\/i)\/i)) assuming i is positive.\nAnswer: i**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.46 + 0.06. Let n = 2221 - 2222. What is the nearest to n in f, -5, 6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 383856274 and 796?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6)\/5*-1*20\/6. List the prime factors of f*(-1)\/(-10)*(9 - -381).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 30450207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/4*6\/(-60)*-16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 22688789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7905644 years to months.\nAnswer: 9.4867728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-three quarters of a day in minutes?\nAnswer: 19080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w**2\/5 + 34*w + 187968\/5 = 0. Calculate w.\nAnswer: -267, 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 52 by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.1  (b) -1\/3  (c) 2  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4, 12, 10, -8, -48?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4322 - -4332. Solve 2*u - 2 = q, -14 + f = -4*u + 3*q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3561 divided by 985?\nAnswer: 3561\/985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -422 - -750. Let a = n - 322. What is the greatest common factor of 16 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1010100 (base 2) in base 16?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5 and 200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001011 rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -27 and -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 690*m**3 + 21*m**4 - 53391*m + 5402*m**2 + 455877\/5 + 1\/5*m**5.\nAnswer: (m - 3)**2*(m + 37)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the third derivative of c**4\/24 + c**3\/3 - 2*c**2. Let n be o(7). Let y be 42\/n - 3\/(-9). Solve t - 4 + 11 = -b, 1 = -4*b + y*t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 159634, 159635, 159636, 159637?\n\"Answer: p + 159633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 87687 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1378 + -646. Calculate the lowest common multiple of z and 198.\nAnswer: 24156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the second derivative of i**5\/10 + 7*i**4 + 499*i. Factor m(d).\nAnswer: 2*d**2*(d + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((n\/n**(-5\/4))\/n*n*n*n)\/n*n)\/n*n)**(-50) assuming n is positive.\nAnswer: n**(-425\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -15 - -17. Let x(m) = 2*m + m**3 - 3*m**3 + 2*m - 4*m**h + 10. Is x(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v, 1 u, and 1 d when four letters picked without replacement from acvvcavaududajcaac.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4117414 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 33 + 37 = 0. Sort 0.2, a, 1\/6, 30.\nAnswer: 1\/6, 0.2, a, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -30 and -41 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 448*w = 421*w - 260 - 280 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32226 is divided by 65.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0\/1)\/(-2 - 0). Suppose -f + 6*f + 3*d - 95 = 0, n = -f - 2*d + 26. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n - 0 + 11. Suppose -3 = 7*b + n. Let o be (-20)\/(-6) - b\/3. Solve 0 = -2*j + 2*r - 2, o*j + 1 = 3*r - 7 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 948836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 813*u**2 + 665*u**2 - 293*u**2 + 379*u**2.\nAnswer: 1564*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(12\/13)\/n)**(3\/23)\/(n*n\/n**(-2\/3)*n*n\/(n**(-3\/10)\/n)) assuming n is positive.\nAnswer: n**(-53611\/8970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 230 is divided by 220.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*j + 5*j - 716. Let h = 379 + j. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hyhnyhohyhnhyynhyl. What is prob of picking 1 n and 1 y?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate 546 + -481 - (-4 - -73).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1725101?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**8*h)\/h)\/h*h**(-7)*h*((h*h**0\/h*h)\/h)\/(h\/(h*h\/h**(-4))*h) assuming h is positive.\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 16*y**2 + 11*y + 11. Let q(z) = 3*z**2 - 2 - z**2 - 2*z - 6*z**2 + z**2. Give 11*q(r) + 2*v(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 6 = -0. Let w(k) = k**2 + 5*k - 6. Determine w(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5*2\/(-11130)*-6. Let q = -3343\/742 + a. Calculate the common denominator of -39\/2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 367712 and 174992.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 682892 and 290?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 5330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*i + 2 + 2*i - 2*i)*(341*i - 110*i + 86*i)*(68 - 68 + 10*i) to the form z*i + q*i**2 + h*i**3 + c and give h.\nAnswer: 6340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 304.8, 2836 in ascending order.\nAnswer: 1, 304.8, 2836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 135472+0.025613\nAnswer: 135472.025613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11 - -1. Let o = i - 23. Let u = o + 9. Which is the nearest to u?  (a) -2  (b) 3  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -118*t**2. Let z(y) = -2196*y - 2207*y + 4414*y. Give z(n(b)).\nAnswer: -1298*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.826 to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (6 - -3) + -34 + 24\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 12333323 (base 4) in base 12?\nAnswer: 1470b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 80 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/(-4)*-227 - 0 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l**2 + 2*l - 2*l)*(1 - 3 + 1) + 9*l - 9*l + 5*l**2 + (-l - 11*l + 2*l)*(-4 + 2*l + 4).\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -1*9*8\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/22*-44*((-3)\/9)\/(192\/216).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -847  (b) -4  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 48969*o**3 + 81875.\nAnswer: 146907*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -10366177 - 103?\nAnswer: -10366302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 47.44 + 0.56. Let l = k - 51. Let h = 151\/4 - 38. What is the closest to h in 2, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 + 6. Suppose -p*i = b - 3, -5 = -i + 4*b + 1. Suppose -3 = t + 1. What is the nearest to i in t, 5\/4, 0.1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 > 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -9*k**3 + 178*k**2 + 352*k + 1931. What is q(22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 288 - 336. Let m be 4 + ((-26)\/6)\/(f\/(-36)). Factor 1\/4*n**2 + 0 - 3\/4*n**3 + 0*n + m*n**4 - 1\/4*n**5.\nAnswer: -n**2*(n - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 15*(-5)\/(75\/(-24)). Suppose 11*q + 69 = 14*q. Which is greater: u or q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 927269*b**2. Let r(j) = -3*j**2. Give r(c(k)).\nAnswer: -2579483395083*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2294 and 3284786.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8021 is divided by 890?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -s + 3*s + 12, 2*q + s = 21. Solve -c - c - q = -u, -5*c = -3*u + 22 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 3*q**2 - 3*q + 2. Suppose -5*r + 160 = g + g, -59 = -r + 5*g. Suppose r = 5*l - 1. Calculate the remainder when t(3) is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 45185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -351, -5, -8 in decreasing order.\nAnswer: 2, -5, -8, -351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0.05, -4, -3, 2\/5, -0.08 in descending order.\nAnswer: 2, 2\/5, 0.05, -0.08, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 8, 1\/4, -9, -6, 2\/9, -0.76, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -8470, -8465, -8450, -8419, -8366?\n\"Answer: s**3 - s**2 + s - 8471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -421437 + -7?\nAnswer: -421446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 161192 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the first derivative of 0*j**3 + 0*j**2 + 28 - 9*j - 25\/4*j**4. Differentiate u(d) with respect to d.\nAnswer: -75*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -133*12\/(-2)*1988\/20874?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 227*u**2 - 10*u**3 - 227*u**2 - 21*u**3 + 5 to the form f*u + s*u**3 + w*u**2 + i and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*h*t*u*w + 6*h*t - 16*h*w - 18*h - 3*t*u + 5*t*w - u*w wrt t.\nAnswer: -2*h*u*w + 6*h - 3*u + 5*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffos.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*h**3 + 3*h**3 - 6*h**3)*(-5954 - 251*h + 5954).\nAnswer: -251*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 6476453173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 3*g + 14 = -17, -112 = 5*o - 4*g. Let p be (-4)\/40*6 - 12\/o. Let c = -396 - -3568\/9. Sort p, 5, c, 4.\nAnswer: p, c, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -1, -2, -6 in increasing order.\nAnswer: -6, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u - 1601 + 1007 = -15*u - 1210 for u.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17, 22, 31, 44, 61, 82?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 2 = 3*q. Let o(w) = -w. Let s(r) = 5*r. Give q*s(n) + 11*o(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 1 + u**2 + 0 + 2 - u. Let l(o) = -o**3 + 5*o**2 - 6*o + 4. Let r be l(4). Is w(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 y when two letters picked without replacement from {s: 3, o: 3, e: 1, y: 1, r: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -228 + 233. Solve -u - u = -a*b + 35, 2*u + 3*b - 5 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (6\/36)\/(4\/((-32)\/6)). Is 0.1 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x. Let s(g) = 2*g - 1. What is -s(w) - 4*v(w)?\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1757756 < 1757756?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.035*-47.\nAnswer: 1.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -709 + 1042. Suppose -207*u + 282*u - 525 = 0. What is the remainder when z is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 33*g**2 - 48*g - 49. Calculate a(-1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*i**5 - 1124*i**4 + 70544*i**3 + 397616*i**2 - 1068480*i = 0. Calculate i.\nAnswer: -7, 0, 2, 106, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -27555462 divided by -9185154?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j + 8. Let h be n(-7). Suppose -m = -h - 13. Calculate the remainder when 36\/144 - 2\/(-8)*195 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, p: 6, e: 5, k: 3, f: 3}. Give prob of sequence eo.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -11 - 13 - 5*w + 22. Let g(u) = 9*u. Let x(b) = -10*b + 1. Let c(r) = -4*g(r) - 3*x(r). What is -2*c(z) + 3*q(z)?\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 60 + (25 - 22) + -37?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 0 = 12. Let f = 18 - k. What is the smallest common multiple of f and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -76.035 - -0.035. Let a = -81 - f. Let t = 4.9 - -0.1. What is the third smallest value in -4, a, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/(-48) - (-28)\/72?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*r + 7 = -37*r - m, -4*m = -8. What is the third biggest value in 0.1, 0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 78 = 20. Suppose 24*k = o*k - 325. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 8491892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 - -11. Let u = 56 - 15. Let a = u - 28. What is the remainder when a is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9590 - 11886 = 826*j for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = f, s + 2*f - 13 = -4. Let l = 53 - 50. Let c be 5*(l - (-2 + 46\/10)). Solve 5 = h + c*p + 3, 3 = -s*p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10256.78 + -10257. Which is the third biggest value?  (a) v  (b) -5  (c) 2\/477\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.8 * 18.59.\nAnswer: -33.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 2*w - 3*u, -w - u + 3 = -2*w. Let k be w\/5 - (-26)\/90. Let z = -18 + 18.5. Put k, -0.3, z in decreasing order.\nAnswer: z, k, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(68)*-3 + sqrt(68))*-4*-5)**2.\nAnswer: 108800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -817683, -817696, -817713, -817734, -817759?\nAnswer: -817788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -207*p - 147*p = 7080 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 309 and 2266.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t. Let s = 10 - 8. Suppose -4*c + w + 51 = 0, -2*w + 45 = s*c + 17. Let x(d) = -2*d + c - 13. Give m(x(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 52*t**2 - 7*t + 4. What is h(1)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence leel when four letters picked without replacement from {e: 11, l: 3}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 780, 805, 846, 909, 1000, 1125?\n\"Answer: y**3 + 2*y**2 + 12*y + 765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 2*s + 60 = 0. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4901906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 44 - (-8 + 6)*(-2)\/(-4). What is the greatest common factor of a and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/3 - (-6 + 2). Let y be (-1 - -2)\/(r\/12). Suppose 0 = 6*k - 3*k - 9, 5*k - 71 = -y*c. What is the greatest common divisor of 154 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes before 10:44 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 105, 31, -101, -297, -563?\nAnswer: -905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = d - 4*q + 2, -5*d + 16 = -q. Suppose 12 = -4*w + 16. Which is the nearest to w?  (a) d  (b) 2  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 2*r)*(-99*r - 504*r + 91*r)*((-3 + 1 + 3)*(4 - 2 - 1) + 3 - 4 + 3).\nAnswer: -3072*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0.157 * -829\nAnswer: -130.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -11*k + 57. Let q be n(5). Which is the third smallest value?  (a) q  (b) 1\/3  (c) 3  (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -3*x + 16. Suppose -5*t + x*t + 38 = 0. Calculate the lowest common multiple of 8 and t.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1125\/500)\/((-3)\/(-1))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -4*b**2 + 2*b + 2. Let j(z) = -z**2 + z + 1. Let a(w) = 2*j(w) - u(w). Let x(p) be the first derivative of 4*p**3\/3 - 16148. What is x(a(y))?\nAnswer: 16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 294094175 to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-48)\/20)\/((-442)\/(-585)). Is -2 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -211 in -5\/3, 1\/8, 0.4?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v - 5. Let o(r) = 1. Let g(a) = 6*o(a) - x(a). Give g(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -91594, 4, 2, 1, -5, 7 in ascending order.\nAnswer: -91594, -5, 1, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20 + 17. Let c be 16\/(-12)*n*26. Let k be (c\/(-16))\/((-2)\/4). Solve k = -5*a - 12 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 16*k**2 - 7*k + 11. Let o(z) = -z**2 + 6*z + 30. Let v be o(9). What are the prime factors of u(v)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 11\/4 of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**3 - 13*c**2 - 13*c - 12. Let x be a(-12). Let l = 6 - x. Let b be l\/(-2) - (-16)\/2. Solve b = -5*s + 4*j, -j - 40 = 5*s + 2*j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -4, -25, -58, -109, -184?\n\"Answer: -b**3 - 14*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 6 - -6150633?\nAnswer: 6150642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -39*y**2 - 6*y - 283. Let t(b) = 39*b**2 + 7*b + 281. Let m(u) = -4*a(u) - 3*t(u). Differentiate m(n) with respect to n.\nAnswer: 78*n + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 10385 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -158984, -158972, -158960, -158948, -158936?\nAnswer: -158924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 781.6 to the nearest ten.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**3 + 4*j**2 - 4*j + 4. Let g be c(-4). What is the highest common divisor of 50 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1*(0 - (5 - 2)). Suppose 0 = 3*x - x - m*o - 58, 3*x = -o + 109. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - 291.995?\nAnswer: -298.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10000100010 - -1?\nAnswer: 10000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**3 + 28*t**2 - 66*t + 1053. Let n be m(27). Put -264, n, 1 in decreasing order.\nAnswer: 1, n, -264","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2986.\nAnswer: 2, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 19 and (1\/(2 - 3))\/((-2)\/14).\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2016 and 63000?\nAnswer: 252000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:47 AM and 8:51 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10877744*c**4 - 15239106*c?\nAnswer: 130532928*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c = 2*l + 16, -l + 0*c + 17 = -3*c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*j**2 + 6 + 0*j**2 - 3 + j**2.\nAnswer: -2*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s**2 - 6826710*s - 3883664118675 = 0 for s.\nAnswer: -1137785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -351, 2, -1 in decreasing order.\nAnswer: 2, 1, -1, -351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1160 - -7?\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) 2\/7  (b) -1\/8  (c) 2  (d) -0.4  (e) -191\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-67 - (-268 + 186)) + (0 - 29)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -78065, -78068, -78073, -78080?\n\"Answer: -u**2 - 78064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*z - 199 + 199 - 2*z**3 in the form p*z + x*z**3 + a + q*z**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -8 - -20?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -15852*o**3 + 5*o**2 - 3*o + 8. Let r be g(3). What is r rounded to the nearest ten thousand?\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/(-12) - 246\/(-8). Suppose -9*n + 7*n = -o + 238, n - 997 = -4*o. What is the highest common factor of o and a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 13151843 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 984103 is divided by 190?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from dkkdqekkkekee.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -119\/285 + 1\/57. Let y = 40.32 - 41.32. Which is the third biggest value?  (a) 2\/19  (b) y  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*l = 27*l - 5064. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-294)\/90 - ((-1)\/(-2))\/(15\/(-90)). Let z = 0.07 - -0.13. Which is the nearest to 1?  (a) -5\/2  (b) z  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:16 PM and 2:50 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 388\/(-679) + 2432\/(-56)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5902 + 12682. List the prime factors of a.\nAnswer: 2, 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - (-45 + 3 + 34 - (2 + -13)) - -95.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*x + 53200 = 49*x. Let v = 665 - x. Factor 1\/2*g**5 + v*g**2 + 0*g + 0 - 3\/2*g**4 + g**3.\nAnswer: g**3*(g - 2)*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9\/2)\/(-3) + 1768\/272?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 15400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4675 and 17006.\nAnswer: 7227550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10 - 12. Let o = -0.4 - 0. Sort g, o, 1\/3.\nAnswer: g, o, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1142264 a multiple of 629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -5, -97698, 2, 22, 3 in decreasing order.\nAnswer: 22, 3, 2, 0, -5, -97698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-2)\/(-16))\/(45\/8940) and 77\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3 and 1017?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**2 + 32*w - 27. Let k be p(13). Let c = -171 + k. Calculate the remainder when c is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**2 - 14*k - 2. Let c = -38 + 29. Is a(c) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16, -5, 12, 35, 64, 99, 140?\nAnswer: 187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5557?\nAnswer: 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oxx when three letters picked without replacement from roerxrerererrrxoeeo?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 88 + -55. Suppose 0*u + 2*u = x + j, -21 = -u + 5*x. What is the lowest common multiple of (12 - 1) + (-2 - -1) and u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 2*t**3 - 10*t**2 + 26*t + 15. Let k be (8\/(-4) + -5)\/(5\/(-10)). Is a(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 2*h**2 + 87183*h - 3053833. Give l(35).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59*y**2 + 39*y**2 - 175 + 21*y**2 + 6*y + 44.\nAnswer: y**2 + 6*y - 131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 587261, 587909, 588557, 589205?\nAnswer: 589853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -640 + 644. Let k = 0.0359 + -0.2359. What is the closest to -2\/7 in 0.2, m, k, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1c (base 15) in base 2?\nAnswer: 11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 295.0483 + -295. Let g = c + 0.1517. What is the second smallest value in -23, -1\/2, 1\/2, g?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6058184 divided by 88?\nAnswer: 68843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 50\/279 and -71\/186.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -40, -185, -480, -967, -1688, -2685, -4000, -5675?\n\"Answer: -7*f**3 - 33*f**2 + 3*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - 3 - (10 - 14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 61.87 + -62.17. Put x, 0.3, 49 in increasing order.\nAnswer: x, 0.3, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-39)\/(-6))\/(7\/14) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*i**3 - 4*i**3 + 0*i**3)*(-1 + 1 + 2*i) - 2*i**4 - i + i - 2*i**4 - i**4 + 5*i**4 + 233*i**3 - 121*i**3 - 1425*i**4 - 112*i**3)*(3 - 4 + 5).\nAnswer: -5716*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*p**4 + 9*p**2 + 18*p**2 - 23*p**2 + 4*p + p**3 to s + k*p**3 + i*p**2 + d*p + n*p**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 182533 is divided by 91261?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -9862880 to the nearest 100000.\nAnswer: -9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 114\/95*(-20)\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 65, -2, -0.4, 2\/3, -4?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 + 4. Is u less than or equal to -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 34566 by -7.\nAnswer: -4938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13307678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10*(-2)\/40*48.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8089224 and 16178448?\nAnswer: 16178448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -2*d + 88, -d + 15*t = 11*t - 23. What is the remainder when 259 is divided by d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b + 4*f + 133 - 141 = 0, 2*b - 5*f - 11 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -6769784 and -3.\nAnswer: 20309352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = 8*a - 12. Factor -16*o + o**2 + 0*o**a + 14*o.\nAnswer: o*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**2 - 13*d + 20. Let b be q(11). Let a be (-120)\/(-30) + 2*1*b. Solve 4*g - g - k + 9 = a, 3*k = -2*g + 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1*(-3)\/(-1) + -3. Let l be (-1 - 0) + (7 - x). Solve -l = 2*m + m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c + 41*a + 41 = 40*a, -15*c - 2*a - a = -19*c - 37 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(-19)*t)\/t*((t*t**(-1\/8))\/t*t)\/t)\/(t**7*t*t*t**(-1\/9)) assuming t is positive.\nAnswer: t**(-1945\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-64*9\/54)\/((-1)\/27). Calculate the greatest common factor of 120 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3901577?\nAnswer: 367, 10631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, f: 1, c: 1, x: 1}. What is prob of sequence fzx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -131, -572, -1313, -2360, -3719, -5396, -7397?\nAnswer: -9728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -88  (b) -3  (c) 2\/11  (d) 22  (e) 4  (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes before 5:20 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 196, 421, 716, 1117, 1660?\nAnswer: 2381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**2 - 11*n - 14. Give x(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 277767.720022 - 277768. Let l = 1002.28 - 1002. Let k = z + l. What is k rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 2895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37024622.\nAnswer: 2, 269, 68819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 4445 = 5205. Suppose -5*r - 1419 = -o + 3376, -5*r - 5*o = m. What is r rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12 and 327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1140 and 30?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -52400.62 rounded to the nearest one hundred?\nAnswer: -52400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 58650000 rounded to the nearest one million?\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-14 + 3 - 20)*(-2*j - 1 + 1) to the form v + p*j and give p.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 2*t + 15 - t + 10*t**2 + 10*t + 4*t - 4*t. What is the tens digit of k(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 75\/(-5)*1\/3. Let u(f) = 4*f**2 + 8*f + 3. Let r be u(g). What is the greatest common divisor of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2268507 and 4173.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 + -72?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6 - 4. Let g = 19 + i. Calculate the remainder when 63 + 1*-1*1 is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w**2 + 10*w - 16. Determine c(11).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 178*m + 6 = 180*m. Suppose m*n = -3*i + 7*i + 7, 5*i + 3*n = -2. Which is greater: 1\/449 or i?\nAnswer: 1\/449","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -39 + 28 + 19 + -2 + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o + 35 + 73. Let j = o + 156. What is the greatest common divisor of j and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 1\/10 of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-18627)\/(-147) + 4\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3556*f**2 - 10144*f**2 + 3741*f**2 + 3473*f**2.\nAnswer: 626*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**3 - 7*i**2 + 9*i - 5. Let o(y) = -y**3 + 6*y**2 - 10*y + 4. Let m(p) = -3*j(p) - 2*o(p). Calculate the remainder when 28 is divided by m(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 354*t**3 - 2*t**2 - t**2 + 2733*t**3.\nAnswer: 3087*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w**2 - 1. Let d be p(-2). Solve 0 = -r + 3*s - 1, -4*s + 0*s - 16 = d*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u + 2. Let z be a(12). Let f = -97 - z. Let n = f - -111. Solve 2*m + 11 = 2*o + m, -5*o - 3*m = n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 80 divided by -2371\nAnswer: -80\/2371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153)*6 - sqrt(153)\/(sqrt(9)*2))**2.\nAnswer: 20825\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-19\/5)*a**(-3\/10)*a assuming a is positive.\nAnswer: a**(-31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -10211.3116 to the nearest one hundred.\nAnswer: -10200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1145*a = -1269*a - 3596 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 172 minutes after 9:52 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the second derivative of -a**6\/15 - 7*a**2\/2 - 3*a. Differentiate m(d) wrt d.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2762, -3, -5, -139 in ascending order.\nAnswer: -2762, -139, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n + 1 + 1. Suppose -12 = -n*d - 2*d. Let o be (d - 1)\/(3 - 1). Solve y + o = -4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -37.19 - -37.73. What is the biggest value in -5, 9, 0.1, -1, v?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 15*o - 9*o - 2*o + 0.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 31\/35 + 2\/(-7). Let u = 104 + -104.1. What is the nearest to u in -1, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 14) to base 7\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*x**2 + 1887 - 154*x**2 + 154*x**2 to a*x + l*x**2 + u and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*d - 5525575 = -5524585 for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1761415 by 352283.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5a80cb - 2?\nAnswer: 5a80c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*g**2 + 3*g**2 + 0*g**2)*(-2 - 2 + 5) + 11*g**2 + 18*g**2 + 13*g**2 - 1 + (-3*g - g + 3*g)*(-9*g + 0*g + g) to b*g + r + s*g**2 and give s.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -336 + 923. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 - (21 + -3 + -43) - (4 - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00465172979 to 5 decimal places.\nAnswer: -0.00465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5033224?\nAnswer: 2, 7, 17, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -2*d**3 + 52*d**2 - 52*d + 64. Let m be q(25). Solve 0 = 17*g - m*g + 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21357130?\nAnswer: 2, 5, 2135713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(-2\/3)\/t)\/t)**(-1)\/(t\/(t\/((t**(-2\/17)\/t)\/t)*t)*t*t*t\/(t**(1\/4)\/t)))**(-41) assuming t is positive.\nAnswer: t**(-17015\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.94813 - 0.05187. Which is the smallest value?  (a) 0  (b) 1\/755  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-2)\/(-3))\/(4\/42). Let j be (-273)\/(-12) + 5\/20. Let q = 28 - j. Solve -4*g + 3*x = -i*g - 6, -5*x = -q*g + 30 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 632 and 12.\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 88 and 264.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 49328 to the power of 1\/2, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 12 + -7. Let g = 33 - d. What is the greatest common factor of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5288*k + 5293*k + 65 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 2*v + 6. Suppose 3*l + v*y - 120 = 0, -3*y - 33 = -l + 7. What is the highest common divisor of l and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 4*p + 87. Determine i(-19).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/4833)\/(20\/(-110) - 24\/(-1584)).\nAnswer: 2\/179","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*v - 3*v = 252. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = -4056 + 1336. Let n be 344\/(-30)*86\/r. Let m = n + -248\/51. Calculate the common denominator of m and -67\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*i**3 - 16 + 16.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 17 = -2. Let p(h) = 2*h**3 + 3*h + 3. Let v = 3 + 6. Let q(d) = -5 - 3*d**2 - 5*d - 6*d**2 + v*d**2 - 3*d**3. What is y*p(z) - 3*q(z)?\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - 7 = -y, -17 = -5*j + 16*y - 12*y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 3, i: 3, g: 6, v: 1, h: 5}. Give prob of sequence hv.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-1))**(-3\/22))**(-27)*(w**(-6)*w**(-6))**(-4\/23) assuming w is positive.\nAnswer: w**(-807\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000017820726 rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2117 and -0.185?\nAnswer: 391.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2284 - -2202.7. Let i = m + 78.3. Let a = -17 + 16.89. Sort -4, a, i in decreasing order.\nAnswer: a, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -95\/42 and -32\/525?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -312\/805 + -2\/161. Let d = -4 - 0. Let t be 4 - 0\/(-5 - (-1 - 2)). What is the closest to c in t, 2\/13, d?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1384)\/(-88) - 13)\/(((-147)\/33)\/(-7)).\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 4320495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1, 0, -9594, 4.\nAnswer: -9594, 0, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -115*i - 557. Let l be f(-5). Solve 65 = 4*u + 5*x + 86, 3*u = 3*x + l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -94*c**2 - 2082*c + 11. Determine k(-22).\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 123 divide 34542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-921)\/12*-1 + (-9)\/12. Suppose 5*r - 67 = -4*y, 4*y - 4*r - d = -0*r. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 42.28 - 42.2804755. What is l rounded to 5 dps?\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.006816001 times -0.5?\nAnswer: -0.0034080005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6743221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*r**2 - 3*r**2 - 7*r - r in the form m + p*r**2 + k*r and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c - 8. Let j be z(9). Suppose i - 2 = j. Let x = 0 - i. Let k(f) = f**2 + 5*f + 2. What is k(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 931920 smaller than 4\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(4*((-3)\/(-3))\/4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the second derivative of x**5\/60 + x**4\/4 - x**3\/6 - 5*x**2\/2 - 11*x. Let h(s) be the first derivative of k(s). Calculate h(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2 and 10781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-5)\/4)\/((-5)\/(-20)). What is the remainder when 173 is divided by -12*((-5 - -5) + z)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes before 7:38 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/4 of a tonne in kilograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 15 and -24370.\nAnswer: -365550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 273 and 6531?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -10231.161 and 0.06.\nAnswer: -613.86966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -9*k - 13. Let u be -1*6*(-9)\/27. Let i(p) = 7*p + 11. Let l(f) = u*q(f) + 3*i(f). What is l(-7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/30)\/((-756)\/(-135)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*(sqrt(400) + sqrt(400)*1 + sqrt(400))*-1)\/(sqrt(32)\/(sqrt(16)\/sqrt(4)) + 4*sqrt(72)))**2*4.\nAnswer: 1800\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 450 and 403830?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-443)\/(-1) - (28\/(-4) + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -9143 >= -9150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7 - -7. Suppose -3193 = 12*b - 3229. Factor 2\/9*w**4 + 2\/9*w**2 + 4\/9*w**b + r + 0*w.\nAnswer: 2*w**2*(w + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-5)\/35 + 652\/(-140) and 39\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a**2 - 17*a - 31. Determine d(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -3844420*v - 19. Let f(z) = z. Give f(s(u)).\nAnswer: -3844420*u - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 220 - 381*h + 213 - 653 + 381*h + 220 - h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 8 = f - 35, -2*y + 25 = 5*f. Suppose f*v + 0*v = 0. Solve v*p - 2*p = -4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 36 and 18878574?\nAnswer: 113271444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/5 + 22\/5. Let i be 50\/(-35) + (-4)\/7. Let c(r) = -5*r**2 + 10*r - 6. Let q(v) = -4*v**2 + 8*v - 6. Let g(s) = i*c(s) + 3*q(s). What is g(p)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the second derivative of -5*r**3\/6 - r**2 - 2*r. List the prime factors of m(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yptp when four letters picked without replacement from ipitoytopyipip.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -579 - -1234. List the prime factors of y.\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 6*y**3 + 22*y + 42. Let z(q) = q**3 - q - 1. Let o(i) = 2*j(i) + 44*z(i). What is the derivative of o(b) wrt b?\nAnswer: 168*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -93251, -373075, -839415, -1492247, -2331547?\nAnswer: -3357291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hdhhhhhdhh. Give prob of sequence hhd.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 602\/(-21) + 660\/(-90).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4c2 (base 16) in base 15?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-57)\/816 - 134\/1139?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 429877 divided by 6.\nAnswer: 429877\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1039966 divided by 2\nAnswer: -519983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -36120000 to the nearest one million.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:41 AM and 6:34 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 22*d + 3*d**2 - 5*d**3 - 3*d**2 - 28*d + 8. Let u(k) = -k**3 - k + 1. What is m(p) - 6*u(p)?\nAnswer: p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/((c*c*c**(-6\/7)*c)\/c))\/(c**4*c)*c\/(c\/c**(2\/13))*c**(1\/4)*(c*c*c**(2\/5)*c*c)**(-43)*(c**(1\/2))**44 assuming c is positive.\nAnswer: c**(-312929\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-84)\/(-22) - ((-126)\/(-99))\/(-7). Let u = 3 - 5. Let c = 0 - u. Solve -d*s + 17 = 5*h, h - c*h = s - 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*q**2 + 51*q**2 - 152*q**2.\nAnswer: -59*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m + 133 = 149 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 9\/(36\/256) + 2. Let q be (-12)\/3 - (s\/(-9) - 2). Determine x so that 32\/3 + 2\/3*x**2 + q*x = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes after 4:50 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 4*q - 48 = 0, -4*q - 17 = -1. Let c(x) = -x**2. Let g(i) = 3*i**2 - 7*i + 3. Let p(b) = -2*c(b) - g(b). Calculate p(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 0)*(2*g + 5*g + 2*g)*(5*g**2 - 4*g**2 - 2*g**2).\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -90*s**2 + 24*s + 10. Let o(k) = -46*k**2 + 14*k + 5. Determine -3*m(v) + 5*o(v).\nAnswer: 40*v**2 - 2*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 3 - 4)*(92*a + 7*a**3 - 92*a) to n*a**3 + o*a + u*a**2 + t and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -j**3*k - j**3 + 31*j*k - 59*j - 310942*k wrt j?\nAnswer: -3*j**2*k - 3*j**2 + 31*k - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mlhh when four letters picked without replacement from {l: 3, m: 12, h: 2}.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 4) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u - 4*v + 293 + 384, 4*v = 12. Let x(p) = -19*p**3 - 3*p**2 - 3*p. Let f(i) = 836*i**3 + 133*i**2 + 133*i. Calculate u*x(s) + 3*f(s).\nAnswer: -19*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 132154608*c**2 + 74909809*c.\nAnswer: 264309216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/13  (b) -15  (c) 1\/7  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 8 - 101?\nAnswer: -d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14 - -18. Suppose 3*r = b, -g*b + 9 = -0*b - 3*r. Solve -b*o = 14 + 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -27\/23 - -97\/161. Let o = -8 + 6. Which is the closest to -2\/13?  (a) 4  (b) k  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 513.7 - 513.70007045. Round y to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 92591 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) -30  (c) -2\/7  (d) 2  (e) 73.1  (f) -0.5  (g) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 2 g when four letters picked without replacement from jjgjjjgjjjjgjjgjjgjj?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes after 10:10 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the first derivative of -c**5\/120 + 7*c**3\/3 - 6. Let p(z) be the third derivative of s(z). Let u(a) = 3*a. Determine p(u(r)).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7.8 + 0.8. Let p = 75.5 - 69. Let j = g + p. Which is the second biggest value?  (a) 2\/13  (b) 0.5  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4913.6 + 4914. Sort b, 0, -1, -36\/7 in decreasing order.\nAnswer: b, 0, -1, -36\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 - -1546.90355.\nAnswer: 1541.90355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 7 = -2*u + 4*n, 5*n = -4*u + 14. Let d be 21\/(-14) - u\/(-2). Let z be (42 - d)*(2 + -1002). Round z to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-3\/10)\/r)\/r*r*r**1*r)\/(r\/(r*r*r\/r**(1\/4)))**(-40\/7) assuming r is positive.\nAnswer: r**(-93\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 1794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (450 + 91*p**3 - 450)*(-18*p - 17*p + 25*p + (2 - 2 + 2)*(2 - 2 - 2*p)).\nAnswer: -1274*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4438.\nAnswer: 2, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/1 + 3*(-6)\/9. Let c be (k\/4 - 5) + -1. Which is smaller: -3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 - -2667?\nAnswer: 266c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = -4*s + 3*s. Let p = s + -25. Let b be 0 - (-2 + p + -2). Solve -4*j = -4, 4*m - j + 5 - 4 = b for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s + s + 2*s + 7*s + s + 5*s + (-4 + 5 + 1)*(s + 0*s - 3*s))*((1 - 1 + 3)*(-4 - 2 + 10) + (-1 + 3 - 1)*(0 - 1 + 0)).\nAnswer: 121*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 46628 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 23691.7 times -1\nAnswer: -23691.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.231573 rounded to two dps?\nAnswer: -4.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -114 + -10034?\nAnswer: -10203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**3\/5 - 2*j**2\/5 + 21*j\/5 - 18\/5.\nAnswer: -(j - 3)*(j - 1)*(j + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 31 - 15. Suppose 0 = -12*h + a*h + 100. Let m = h + 30. What is the third smallest value in m, 1, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 2*f - 6*g - 1286, -4*g = -4*f + 2572. Let s = 2520 + f. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 315437323?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/7  (b) 0.1  (c) 8743\/565\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**2 - 23*j + 31. Let i be t(-23). Suppose -2*h + 4*h + 45 = 5*n, 5*n - 20 = h. Let r = i + h. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 5) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes after 1:57 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -104*r + 135*r = 74*r - 688 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 79 = 21. Suppose 26249*i - 26252*i - 66 = 0. Which is bigger: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1616*t + 1619*t = -2*o - 8, 3*o + 10 = -5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 5*r - 5 = -31, 2*r = -3*c + 20. Suppose 20386 - 163434 = -c*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1634 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 + 47 = 5*g. Suppose g - 21 = -4*x. Solve -4*p = 5*o + 29, -5*p - x*o = o + 30 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ppx when three letters picked without replacement from {p: 5, x: 15}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (0 - 40)\/(-4*5\/40). Let a(m) = 4 - 32*m - 24*m - 23*m - 22 + r*m. Give a(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and -93.\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 573, -57, 22 in descending order.\nAnswer: 573, 22, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -y + 3*s + 76, 2*y - s - 151 = 0. Let c = 3 + -4. Let u(b) = 16*b**2 - 1. Let n be u(c). What is the greatest common divisor of y and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 74d + -44?\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**2 - 22*y + 21. Let u be s(21). Suppose d + 7 - 12 = u. Solve -d + 3 = 2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 31 (base 12) to base 4\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 46 + -7. Let j be ((-6)\/(-5))\/(581\/4095 - (-8)\/(-72)). What is the highest common factor of d and j?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -149831 (base 10) to base 2\nAnswer: -100100100101000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -21 - -161. Let m be (120\/c)\/((-1)\/(-21)). Suppose -m*d - 15 = -23*d. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -308*v - 6 = -302*v. Let c(b) = -13*b + 1. What is c(v)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 656 is divided by 58?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 178446221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*n - 5*n - n)*((-2 - 3 + 3)*(1 + 5 - 5) + 1 + 0 + 1 + 2 - 75 + 3).\nAnswer: 140*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-47 + 47 - 5*m + (2*m - 3 + 3)*(2 - 3 - 1))*(1 - 2*m + 2*m - 2*m**2) in the form g*m**2 + h*m**3 + o*m + v and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 283 = -3*b, -380 = -4*b + 2*a + 2*a. Does 32 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 433746.\nAnswer: 2, 3, 24097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the third derivative of -3*h**5\/10 + 2*h**2. Let a(b) be the second derivative of b**3\/6 - 1965*b. Give a(k(g)).\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(8\/3)\/((((a*(a*a**17)\/a)\/a*a)\/a)\/a))\/(a\/(a\/(a**6\/a))*a*a*a*a\/((a\/a**(-8))\/a)*a))**(1\/59) assuming a is positive.\nAnswer: a**(-46\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 114 - 74. Let v = 32 - u. Let r be (-4 - 0)\/(2\/v). Calculate the highest common divisor of 32 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/3*(-121 + -2). Suppose -w - 104 = -6*j. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + (28855\/2985 - 4\/(-4 - -8)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -8*a**3 + a**2 - a - 1. Suppose 3*q - 4*b - 9 = -3, -q + b = -3. Let g be (-52)\/(q\/27 + 7\/9). Let r = 51 + g. What is z(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 41 = 1. Let h(c) = -4*c**2 - 52*c - 44. Let i be h(-12). Suppose 0 = -i*s + 3*x + t + 89, 2*s - 4*x = 52. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -71*f + 5208. Determine r(76).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -4*s - 5*v, -5*s + 15 = -4*v - v. Let r be (-6)\/1*40\/(-24). Let c = r + s. Calculate the greatest common divisor of 52 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 3 - 2*x**2 + (3*x - 3*x - x)*(-x + 0 + 0) - 2*x - 12*x**2 + 0*x**2 + 0*x.\nAnswer: -13*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**3 + 8*w**2 - 6*w - 1. Let y be 6\/15*-10 - -1*11. What is k(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 62809 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = 11 - 9. Let v(j) = -j**3 - 2*j**2 + j + 1. Determine v(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (346 - 10 - 46 + 1293 + 565)*(2*s + 1 - 1).\nAnswer: 4296*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 72, -2\/9, -0.3, -4 in decreasing order.\nAnswer: 72, -2\/9, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 188\/(-6)*(-10)\/((-180)\/351). Let h = 278 - s. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:16 PM and 3:34 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 29*t - 16*t - 159*t + (0 + 3*t + 0)*(-4 + 4 + 1) - 17*t - 20*t + 23*t to o + d*t and give d.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 722*b + 55. Let x(v) = 2169*v + 187. Determine -7*d(m) + 2*x(m).\nAnswer: -716*m - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -5 + (3 - (5 + -2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 - -0.01. Let y = n - 0.61. Let v = y - -0.8. Which is the biggest value?  (a) v  (b) -0.4  (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5480 and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -135339213, -541356823, -1218052839, -2165427261?\nAnswer: -3383480089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -4*n - 12. Let h(d) = -6*d - 18. Let p(c) = 5*h(c) - 8*w(c). What is p(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the first derivative of -23*j**6\/6 - j**4\/4 + 103*j**2\/2 - 33. What is the second derivative of y(d) wrt d?\nAnswer: -460*d**3 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -5 + x**2 + 0*x**2 - x**3 + x**2 + 2*x + x**2. Give y(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24, -0.4, -1\/69 in ascending order.\nAnswer: -24, -0.4, -1\/69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 14 = 102. Let n = i + -17. Solve -2*v + n*v + 12 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (11302\/(-73463) - (-682)\/39)\/((-2)\/(-6)*-1)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**2 + 33*d + 721. Calculate r(48).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12328245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5.002 - -5. Let h = d + -0.082. What is h 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 seventh biggest value in -1\/3, -1\/2, -3\/2, 8, 5, -130, -1?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -508 divided by 4?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**2 - 3*i. Let s(g) = -g**2 - 4*g. Let j(t) = 4*s(t) - 5*x(t). Factor j(l).\nAnswer: l*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l = -3*o + 54, -5344*o + 3*l = -5346*o + 47 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10 and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-4 + -4 + 34 - 7) + -8\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**2 - 7*a + 5. Suppose -4*u = -g + 12, 4*g + 5*u + 6 + 51 = 0. Determine f(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes after 11:16 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and -0.00911.\nAnswer: -0.02733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6.1 - 6. Let i = -0.4 + -0.6. Let h = -5.5 + 6. Which is the closest to i?  (a) 1  (b) x  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 123 and 129 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 113 + -1012?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w**3 - 50427*w**2 - 212485581*w - 4860528981 = 0.\nAnswer: -8393, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11.005 - 11.105. What is the fourth smallest value in -4, -2, -20, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1307*x + 1307*x - 1155 + 1154 + 353*x**4 + 8*x**2 as f*x**4 + g*x**3 + r*x + i + y*x**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11 + 8. Is ((-3 - l) + 5)\/(2\/6) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bocal. What is prob of picking 1 a and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(132) + (sqrt(132) - -1*sqrt(132)*-3))\/(sqrt(144)\/(sqrt(12) - sqrt(12)*5)) + 3.\nAnswer: 3 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1c9c8 - -1?\nAnswer: 1c9c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -20 + 28. Suppose 0 = -g*s + 11*s + 1368. Round s to the nearest 10.\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 2 s when three letters picked without replacement from {d: 1, y: 8, g: 3, w: 2, s: 5, m: 1}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 479874 to the nearest integer?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**2 + 9*z - 5. Suppose -13*t - 24 = -16*t. What is v(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 194*f - 19. Let p be c(3). Let i = -120 + p. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 12) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 1, 324, -3\/98?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 7 - ((-65)\/(-40) - (-15)\/40). Solve 0 = r - u*b - 13, -7*r + 20 = -3*r - 4*b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7916*n**2 + 15523*n.\nAnswer: -15832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -22\/413207 or -1?\nAnswer: -22\/413207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -7 - (-11 + (-9 - -8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 8233.356 millennia?\nAnswer: 8233356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**3 + 5*x**2 - 2*x - 6. Let h be s(-5). Let r be (-203)\/(-42) - (-2)\/12. Solve -w + r - h = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/74036478 and 91\/9360934.\nAnswer: 814401258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 10314 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-7*1\/(-35))\/((-6)\/(-10)). What is the nearest to g in -1\/3, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*f**2 + 0*f**2 + 3*f**2)*(3*f - 2*f + f) + 0*f**3 - 6*f**3 + 4*f**3 + (8 - 8 - 5*f**3)*(1 + 2 - 1)*(-6 + 5 + 3)*(-2 + 1 + 4).\nAnswer: -74*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1564\/3 - -156499\/300. Find the common denominator of h and 41\/120.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = -0*b + 2*f - 2, 0 = b + 2*f - 10. Suppose n + 158 = b*n. Suppose -c - n = -3*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + y - 100 = 0. Suppose 4 = 5*o - 1. Let g = o + y. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/15 or -11461?\nAnswer: -11461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 16.3 - -117965.\nAnswer: 117981.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.58 - -0.08. Which is the closest to 3\/4?  (a) 5\/3  (b) s  (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 819\/(-65) - 93070\/2050.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 7*t + 8. Let b(u) be the third derivative of -u**4\/4 - 7*u**3\/6 + u**2. Let l(h) = -6*b(h) - 5*y(h). Let q be (0 - 2\/(-1)) + 2. Give l(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 2*q**3 - 7*q**2 - 4. Let t(i) = -i**3 - 6*i**2 + 7*i + 2. Let p be t(-7). Suppose -4*r - 7 = 1, j - 1 = -p*r. Does 17 divide l(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*c**2 - 3*c**2 + 4*c**2 + (-79*c - 258*c + 3*c - 2 + c**2)*(-3 + 5 - 4) to x*c + d*c**2 + b and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 63201115 a multiple of 2637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*x**2 + x - x + 0*x**2 + 0*x**2 - x**2 + (-x + 3*x + 0*x)*(-2*x + 3*x - 2*x) + (0 + 0 - x)*(6*x + 4*x + 0*x) to z + u*x**2 + o*x and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 562350 and 2136930.\nAnswer: 10684650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 2*k + 36 = 0. Let n = k + -22. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 112 (base 7) to base 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 33*l - 3. Let h be s(2). Let y = h + -40. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(12\/(-2))*(-92)\/(-3220)?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -16 + 2a?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**2 + 10. Let l(i) = 13590*i. Give o(l(k)).\nAnswer: 184688100*k**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2465*j + 6808 = -2461*j. Does 37 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: 6\/(-5)*280\/42\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(152) - (sqrt(152) - -4*sqrt(152))*1 - (sqrt(152) + (sqrt(152) + sqrt(152)*4 + sqrt(152))*5))\/((sqrt(64)\/sqrt(4))\/sqrt(2) - -2*sqrt(40)\/sqrt(5)).\nAnswer: -35*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 1\/3, 14 in decreasing order.\nAnswer: 14, 1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 785215?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68) - -1*(3*sqrt(68) + sqrt(68) - sqrt(68)) - sqrt(68)*2*3)\/(4*(sqrt(324) + sqrt(324)*-1 - sqrt(324) - sqrt(324)) - sqrt(324)).\nAnswer: 2*sqrt(17)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -4*w - 5*r, 0 = w - 3*r - 9 + 15. Solve -11*s + 6 + 27 = w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 31*a**2 - 2*a + 5. Let m = 497 - 499. Is h(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 13) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 580 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 6231 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 divided by 10726?\nAnswer: 21\/5363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*j**2 + 2*j**2 + 3*j**2)*(-4*j**2 + 0*j**2 + j**2 + (2*j**2 + 6 - 6)*(1 - 1 - 2)).\nAnswer: 21*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s - 0*s + 28. Let c(u) = -2*u + 26. Let x be c(s). Calculate the remainder when x + -2 - -41 - 2 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes before 6:44 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 560, 511, 370, 89, -380?\n\"Answer: -8*a**3 + 2*a**2 + a + 565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10665 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 3, s: 1}. What is prob of sequence sccc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*k**4 - 15259*k**3 - 397*k**2 - 75607*k + 1122 wrt k.\nAnswer: 48*k**2 - 91554*k - 794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the third derivative of -17*a**4\/24 + 3*a**2. What is the tens digit of t(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 47*(-13)\/(4 + 9). Which is smaller: 1\/7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**5\/(d**(1\/4)*d)*(d*d*d**(-2\/3)*d*d)**(-3\/11)*((d*(d**(-6)\/d)\/d*d*d)\/d*d*d**(-1\/3)\/d)\/(d**(-2\/5)*d)**(3\/25) assuming d is positive.\nAnswer: d**(-58813\/16500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 12 = -2*y + 3, 13 = 2*x + 3*y. Which is the biggest value?  (a) x  (b) -4  (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 29*y**2 + 17*y - 23694 wrt y?\nAnswer: 58*y + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 63, 242, 527, 912, 1391?\nAnswer: 1958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -105835?\nAnswer: -2\/105835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 172 + -100. Let n = 6211\/4 - 1545. What is the common denominator of 2 - 3 - 124\/h and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 46945.84 millennia?\nAnswer: 4694584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 208.9 to 0 dps.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -6.8  (b) -3  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 34, 21, 6, -11?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 44, -242, 1, 4, 507, -2, 3.\nAnswer: -242, -2, 1, 3, 4, 44, 507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 37 - 53 - (-7 + -19)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -2650\/11139 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_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: Let l = 2646 + -2645. Sort -96, l, -9 in increasing order.\nAnswer: -96, -9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:22 PM and 11:35 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -158*i + 6. Let v be k(-4). Suppose -4*p - v - 566 = 0. Let x = 818 + p. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3465 and 78551.\nAnswer: 24743565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 6 + 3)*(-1 - 3*k + 1) + (7 - 2 - 2)*(-8*k + 4*k + 7*k).\nAnswer: 21*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 111000 (base 16) to base 3\nAnswer: 2002210220010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 28 = 2*t - 43, -3*t - 5*y + 154 = 0. Solve 13 = 6*u + t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39340168 is divided by 1921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 528 and 9636?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -13*u. Let x(z) = z**2 - 4*z - 6. Let r be x(5). List the prime factors of c(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 21, -12, 1, -5 in descending order.\nAnswer: 21, 1, 0, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 18*p + 48. Let n(l) = 6*l + 16. Let o(w) = 8*n(w) - 3*q(w). Let i be o(-7). Let g = 30 - i. Solve j + g*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.80835624 to 3 decimal places.\nAnswer: 4.808","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 4*c + 5. Let n(i) = 9*i + 10. Let z(w) = 3*n(w) - 7*p(w). Suppose -2*j = -12, -2*s + 6 = 44*j - 43*j. Calculate z(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 3680, 7371, 11062, 14753?\n\"Answer: 3691*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 1 p when three letters picked without replacement from rkkkrkurfukpfr.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 1260 = -0*n. Suppose -5*f - 35 = -n. Let j be (-2)\/4*-1*14. What is the greatest common divisor of f and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = 3*u + 5, -2*a - 7 + 18 = -3*u. Let j be -2*(a - 3\/(-2)). Suppose 0 = -g - p + 4*p - j, -43 = -2*g - 3*p. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**15\/o)\/(o\/((o*o*o*o*o*o**(-47))\/o)) assuming o is positive.\nAnswer: o**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 59379879 + 666\nAnswer: 59380545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 6*d**3 - 3*d + 5. Let m(l) be the first derivative of -17*l**4\/4 + 4*l**2 - 14*l - 5. Suppose 14*k + 286 = 40*k. Determine k*n(c) + 4*m(c).\nAnswer: -2*c**3 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k + 56*k = -6*k + 1560 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -938, -1943, -2924, -3869, -4766, -5603?\n\"Answer: 2*o**3 - 1019*o + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10, 26, 42, 52, 50, 30, -14, -88?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 2036*h + 333. Give u(-1).\nAnswer: -1703","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 0*l + l + 3 = 0, -5 = -3*i + 4*l. Differentiate 11*y + 12*y - i*y - 9 + 5*y with respect to y.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (245 - 224)*12\/(-21)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1052 + -131595?\nAnswer: -130543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(432) + 3*sqrt(432))*2.\nAnswer: 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 27906648 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**2 + 6*f + 8. Let o be (-5 - -2)\/3 + 6. Let p = o + -11. Let h be z(p). What is the greatest common factor of 20 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27 + (-6 - (-19 - -9)) + -149.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 46412021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 42.33 - -3.27. Let h = j + -1.6. Let k = -44.091 + h. What is k rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6465.6891us in hours?\nAnswer: 0.00000179602475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -626*w - w**3 + 190*w + 439*w - 15*w**3.\nAnswer: -16*w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 h and 1 k when four letters picked without replacement from iihjhihhik.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -18158676, -36317370, -54476064?\n\"Answer: -18158694*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -122 - -124. Differentiate -y*g + 11*g - 4*g - 5*g + 134 + 181*g**2 with respect to g.\nAnswer: 362*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes after 4:30 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*l**3 - 139280*l**2 - 3623815*l - 23560290.\nAnswer: 5*(l - 27882)*(l + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 - 1. Let l = -32 - -34. Which is the third smallest value?  (a) s  (b) 0.3  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 1 t when three letters picked without replacement from pwwllwpwttlwwpt.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.85 and -0.66.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4\/(-6))\/(2\/(-9)). Let w be (2 + z\/(-2))*12. Is (17\/w)\/(11\/66) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4475 - 4456. Sort s, -3, -33.\nAnswer: -33, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 30602 and 27758796.\nAnswer: 2782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -0.0161087 * 0.08\nAnswer: -0.001288696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30 = -7*d + 3*h, d - 12 = 2*d + 5*h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 135523537.\nAnswer: 31, 311, 14057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 - -102320?\nAnswer: 102312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, -1580.34, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 10.199772008 to 0 decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1188*y**2 - 238*y - 2.\nAnswer: -2376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 99505 divided by 1?\nAnswer: 99505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*b**2 + b - b)*(-b**3 - b**2 + b**2) - b**4 - 3*b**5 + b**4 + 17*b**5 - 891567*b + 891567*b.\nAnswer: 12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 4*m - 9. Suppose 97 = 5*d - m. Is d a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes before 11:11 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -521 + i + 521. Let g(y) = 6*y. Calculate u(g(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 3*h**3 + h**2 - 5*h + 2. Let t(c) = 4*c**3 + c**2 - 6*c + 2. Suppose -3*k = -2*k + 6. Let r = k - 0. Determine r*m(s) + 5*t(s).\nAnswer: 2*s**3 - s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 35\/174 - 1\/29. Let h be 5\/(-3)*28\/(-35)*72\/64. Which is the second biggest value?  (a) h  (b) 4  (c) k  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.747591484 rounded to two decimal places?\nAnswer: -1.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 408\/(-272) - (-98)\/4.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the first derivative of 0*g**2 + 1\/6*g**3 + 8 - 6*g. Let h(m) be the first derivative of b(m). Let p(y) = -74*y. Give h(p(a)).\nAnswer: -74*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -7*a. Let h = a - -2. Let g(p) = 2*p**3 - 3*p**2 + 3*p - 2. Let z(v) = -10*v**3 + 15*v**2 - 16*v + 10. Let r(c) = -11*g(c) - 2*z(c). Give r(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8643 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20300164 is divided by 3491?\nAnswer: 3490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 - i)*(i**3 - 3*i**2 + 3*i**2) + (0*i**3 - 2*i**3 + 4*i**3)*(-2*i - 7*i - 12*i).\nAnswer: -43*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/10 - (-4)\/(-10). Let m be ((-44)\/10)\/(10\/(-50)). Put h, -1, m in ascending order.\nAnswer: -1, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 19, 11, -67, -0.026?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1921, 7698, 17329, 30820, 48177, 69406, 94513?\n\"Answer: v**3 + 1921*v**2 + 7*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 721803 is divided by 1109.\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 11851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -31063.\nAnswer: 2\/31063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 381 and 6?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30813492?\nAnswer: 2, 3, 137, 18743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that l**3\/4 + 4*l**2 + 5*l - 100 = 0.\nAnswer: -10, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 2*o + 55. Let c be n(-24). Let u(h) = h - 2. Let m be u(c). Suppose 4*j - 2347 = -m*b, -5*j - 357 = -b + 95. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 8, -1067, 2\/5, 3, 302\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -83  (b) -0.2  (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*4*(3 + -2*sqrt(396) + sqrt(396) + 1 + 3*sqrt(396)).\nAnswer: 96 + 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 14749350 and 975.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 + (-396)\/4 + -4. Let h = 103 + u. Suppose -5*d + 11 = 2*c, -7*d - 7 = -2*d - 4*c. Is d > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*o + q + 4 = 11*o, 2 = 2*q. Solve -3*n + 10 = -2*n - k, 0 = -o*n - 5*k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9824 and 816927.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16 and 52?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -2*y**2 - 4*y - 4. Let s be m(-3). Let b = 12 + s. Factor 3*c - c - 6*c**b - 4*c + 5*c + 6 - 3*c**3.\nAnswer: -3*(c - 1)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 70*v = 564 + 126 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n - n + 0*n)*(0*n**2 - 4*n**2 + 5*n**2)*(176 + 8 - 33).\nAnswer: 151*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6761689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 2, b: 2, a: 1, n: 2, w: 7, i: 2}. Give prob of sequence wwvb.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 258263, 516795, 775327?\nAnswer: 1033859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4\/7 or 33?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the first derivative of -v**6\/3 - 7*v**4 + 27*v**2\/2 - 42. What is the second derivative of o(s) wrt s?\nAnswer: -40*s**3 - 168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-10))\/(453\/(-604)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 289 by -2931.\nAnswer: -289\/2931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -5 - 27*i - i**3 - 7*i**2 + 3*i**2 - 21*i + 37*i. Let n = -7 + 2. Is 26 a factor of s(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5221 (base 6) to base 9\nAnswer: -1534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 4*d - 5*t - 4, 4 = 2*d - 3*t. Sort d, 3, -4, 0 in descending order.\nAnswer: 3, 0, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**2 - 250. Let v(a) = 18*a**2 + 8*a + 24. Let o(k) = 2*k**2 + k + 3. Let f(q) = -8*o(q) + v(q). Determine f(i(b)).\nAnswer: 2*b**4 + 1000*b**2 + 125000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19519 = -602*t - 1459 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 278 and 12.\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 733, 148, -885, -2588, -5183, -8892, -13937, -20540?\nAnswer: -28923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 34473972?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 4\/3, -0.4, -18\/13?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 8, y: 2, n: 5, i: 2}. What is prob of picking 3 i and 1 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-60)\/(-36))\/(3\/9). Let s be 108\/105 - (-30)\/(-50). What is the closest to -2\/9 in o, s, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*n = 6*n - 104 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -5 from -22815779.258.\nAnswer: -22815774.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -88591*a**3 - a**2 + a**2 + 88588*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/9 in -2, 556.583, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-75*d - 9 + 6 + 2)*(9*d - 3*d - 2*d)*(2*d - 1 + 1) in the form g*d**3 + c*d + o + j*d**2 and give g.\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(48)\/sqrt(4) + sqrt(12)) - sqrt(12) - 3*sqrt(48))\/(sqrt(36)\/(5*sqrt(36)\/sqrt(4))).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -75.7061 or -2?\nAnswer: -75.7061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((52 + 98 - 3)*(o - 5*o + 2*o) - 3 + o + 3 + (-4 + 3 + 3)*(0 + 0 + o) - 7*o + 1 - 1)*(o**4 - 3*o**4 + 3*o**4).\nAnswer: -298*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.025 - 44894352?\nAnswer: -44894352.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(1\/32))**(-21\/8) assuming m is positive.\nAnswer: m**(-21\/256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 2862, 2865, 2868, 2871?\n\"Answer: 3*w + 2859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 8*v - 1. Let n(b) be the second derivative of 7*b**3\/6 - 64*b + 2. Give -4*n(m) + 3*t(m).\nAnswer: -4*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -90 = 5*t + 115. Let j = 44 + t. Let x(z) = -z**2 - 3*z - 3. Let u(p) = 2*p**2 + 8*p + 8. Calculate j*u(i) + 8*x(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -2*i**3 - 391*i**2 - 176*i + 3709. Give r(-195).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 2*s - 3. Let r be j(2). Let d be 3*(4 + 3)\/7. Sort r, d, 8, -3 in ascending order.\nAnswer: -3, r, d, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0265 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mpd when three letters picked without replacement from bdbplbmplupu.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 1, w: 1, s: 3, h: 1, d: 2, c: 4}. What is prob of sequence hdcf?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -4\/3  (b) -0.09  (c) -1\/15  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.93 rounded to one decimal place?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 116*n - 118*n - 25 = -3*q, -15 = 4*n + q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -232*t**5 - 138*t.\nAnswer: -4640*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-30)\/45*4*9\/(-2). Let s = -365 + 3639\/10. Let i = s - -1. What is the third biggest value in 0.1, p, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -18) + (15 + -26 - -25)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j + 5 - 5. Let q(g) be the first derivative of -71 + 59 - 11*g**3 - 94 + 14*g**3. Determine q(z(k)).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**0\/l)**41*l**3\/((l\/(l**8\/l))\/l))\/((l\/l**(-2\/3)*l*l)**21\/(l\/(l**(2\/11)*l)*l*l*l**(-4\/5)*l)) assuming l is positive.\nAnswer: l**(-5829\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1005 is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - j = -9. Suppose 0 = -2*n - j*n + 2*q + 296, -2*n - 3*q + 107 = 0. Suppose -4*x + 18 = -n. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32 = -5*u - s, 36919 = -u + 2*s + 36928 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.558 - -0.358. Are 122 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve v + 7*z = -3*v - 8, 0 = -3*v - 4*z - 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80 = 5*s + 95, 0 = 2*m - 5*s - 23 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1314*u - 1494*u + 7740 = 0. Let v = 21 - -2. Calculate the remainder when u is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 115.4921 weeks?\nAnswer: 69849622.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 62279.3 microseconds?\nAnswer: 62279300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.1, -19\/2, -1, -12, 2, 2\/39?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -259*r = -308*r + 49 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.1 - -2. Let p = y - -0.12. Let t = -0.12 + p. Is t greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -33 + 55. Let f(l) = -l**3 + 21*l**2 + 28*l + 12. What is the remainder when f(n) is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5 and 31670?\nAnswer: 31670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 2*q. Let p be y(3). Let x(d) = -d**2 + 5*d - 6. Let o be x(2). Is ((-3)\/p - o)*-94 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.8 - 1.9. Let v = 0.71 - 14.31. Let m = v + 14. Is t equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 537118 is divided by 193.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2183 - 1938. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*t - t**3 - 193*t + 32*t + 43*t + 82*t.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1823 or 1845?\nAnswer: 1845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 436*r - 16 = 438*r + 2*n, -5*r = -3*n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*o + 58 = 123. Let w(u) = -311*u - 147. What is the thousands digit of w(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 90 (base 11) to base 7.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 3, w: 1, i: 4}. Give prob of picking 3 i and 1 n.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**2 + 6*f - 7. Let r(v) be the first derivative of -v**2\/2 + v - 6. Let p be r(8). Determine g(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 8477962*g**2. Let j(b) = -3*b. Determine j(s(c)).\nAnswer: -25433886*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*t - 3*t - 2*t**2)*(t - t + 2*t**3) + 8605*t**5 + 15507204*t**4 - 15507204*t**4.\nAnswer: 8601*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(48) + -1 - (sqrt(4800) - (0 + sqrt(4800)))) + -5)**2*6.\nAnswer: -240*sqrt(3) + 438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 4*g, -10*o + 9*o = -2*g + 6. Sort 5, o, 49, -3 in descending order.\nAnswer: 49, 5, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 67*z + 43*z - 42*z + 0*z + 7*z.\nAnswer: 75*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.091  (b) 106832\/9  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -27 + 26. Put 0, 2, v, 1 in ascending order.\nAnswer: v, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve n = -3*d + 14, -4*n - 5*d + 15 + 13 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhhhhhhzhhzzhhzhhhhz. What is prob of picking 1 z and 3 h?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 + -4. Let n(k) = -k**3 + k**2 + k + 2. Let w be n(s). Let f(d) = d**2 + 2*d - 1. Let a(b) = -b. Let j(q) = -2*a(q) - f(q). Determine j(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is two ninths of a hour in seconds?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*n, 2*r = -2*n + 839 + 707. Calculate the highest common divisor of r and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2 + 4 + 57\/(-24). What is the closest to 1 in i, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 400*j**3 + 109*j - 397*j**3 - 109*j.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 29\/(-105) + (-119)\/(-833). What is the fourth biggest value in t, -41, 0, 3\/5?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 22974086 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -10  (b) 0.01  (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2989906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1638 - -1611. Let c be (-25)\/(0 + 1) + 1. Let h = c - f. Solve h*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 40*p**3 + 3*p**2 - 1. Let q be b(1). Let g = q + -106. What is the tens digit of 2 + (-2 - -2) - (g - 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 274633069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in x + 35*x**3 + 21*x**2 - 21*x**2.\nAnswer: 35*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-2\/9)\/(k\/((k\/(k*k*k**(-5)*k))\/k*k))*k\/k**(-1)*k\/(k\/(k**(1\/2)*k)) assuming k is positive.\nAnswer: k**(95\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1774829909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -4*p - 4*l, 3*p - 12 = -4*l - 4. Calculate the remainder when (15\/9)\/(1\/(-3)) - -16 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 105 divide 5145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 6*n + 6*n + 12*n - 3. Is d(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 + -1054?\nAnswer: -1054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2\/319 + 648\/1595. Let k = 8 + -13. Sort k, o, -0.1 in descending order.\nAnswer: o, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 0*q**2 - 762*q**3 + 637*q - q**2 + 761*q**3 to the form u*q**2 + h*q + g*q**3 + r and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 49.24819 rounded to 0 decimal places?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 96 - 362. Let q = f - -743. Is 6\/((-3)\/(q\/(-6))) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the second derivative of m**4\/6 + 2*m**3 - 25*m**2\/2 - 45*m. Suppose 0 = 4*q - 7*q + 162. Calculate the remainder when q is divided by x(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-56)\/(-26) - 2\/13. Suppose -58 = -b*x - 0*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3*1722.4\nAnswer: -516.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1447234?\nAnswer: 2, 723617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in thirteen quarters of a centimeter?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is z in -4*z**5\/23 - 6*z**4\/23 + 232*z**3\/23 - 330*z**2\/23 + 108*z\/23 = 0?\nAnswer: -9, 0, 1\/2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-two sevenths of a week in hours?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.5 in 0.2, 3, 18.755?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ahh when three letters picked without replacement from huaaxuhauhuaa.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 62.2 + -49. What is f rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -171808 less than or equal to -171784?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 977685 - 977680. Let 92\/9*i**2 + 44\/9*i**3 - 28\/9*i**4 - 64\/9 - 40\/9*i - 4\/9*i**d = 0. What is i?\nAnswer: -8, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*c + 5*c - 7*c - c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 100*(34299 - 19)\/(-8). Round f to the nearest one thousand.\nAnswer: -429000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**3 + 2*v**2 + 11*v + 15. Determine x(-4).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 6 + 6 + (1 - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the first derivative of -5*y**3\/3 - 240. Let j(r) = -9*r. Determine t(j(a)).\nAnswer: -405*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.29, -54, 56.\nAnswer: -54, 0.29, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1048303 is divided by 11394.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.3958781 to 2 decimal places.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 22900, 22898, 22896?\nAnswer: 22894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.03 in 1\/8, 0.12, 7?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 - -825?\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 113*d + 3*d**4 + 23 - 113*d + (1 + 1 - 1)*(-48*d**3 + 48*d**3 + 7*d**4) to u + n*d + a*d**3 + m*d**4 + b*d**2 and give u.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6534, 6536, 6538, 6540?\nAnswer: 6542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -361.\nAnswer: -3\/361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-148)\/8 + 2\/4. Let h = 14 + p. Let a(t) = -5*t**2 - 5*t + 2. Let s(o) = 6*o**2 + 6*o - 3. Give h*a(m) - 3*s(m).\nAnswer: 2*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 - ((-15)\/12 - (-147)\/(-14)).\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7452, 14907, 22362, 29817?\nAnswer: 37272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2813 is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16 - (22 - (22 + (-1 - 40) + 44)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b, 1 a, and 1 f when four letters picked without replacement from {m: 1, a: 1, b: 2, f: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 112 divide 1571667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 19\/(2\/(-3)*18\/(-12)). Suppose 0 = -2*o + 5*c + 7, 5*o - c = 2*c + 65. Solve -23*b + o = -r*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the third derivative of -w**7\/105 + 1157*w**5\/60 + 32*w**4\/3 + w**3\/3 - 35*w**2 + 31. Find the second derivative of b(g) wrt g.\nAnswer: -24*g**2 + 2314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * -0.00984998\nAnswer: 0.002954994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -b**4*y + 3*b**4 - 129*y wrt b.\nAnswer: -4*b**3*y + 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.028982149 - -0.02898. What is b rounded to seven decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d = -5, 34*d = 2*c + 29*d + 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.03 + 0.13. Which is the nearest to q?  (a) 0.5  (b) 0.4  (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 655 + -655.5. Sort 10\/9, a, -2\/11, -2\/5 in decreasing order.\nAnswer: 10\/9, -2\/11, -2\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/(-50))\/((-10)\/(-135)*-18)?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.4, -6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(85)*4 + -3*(sqrt(85) + sqrt(85)*3))\/((sqrt(1920)*1 - sqrt(1920) - sqrt(1920))\/(sqrt(384) + (sqrt(384) - 1*sqrt(384)))).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = -v + 20. Let a = v + -6. Which is smaller: -2\/3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -526 + ba2?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b - 13. Let h be u(4). Let g(z) = z**3 + 32*z**2 - 18*z - 11. Let n(l) = l**3 + l**2 + l + 1. Let s(d) = -g(d) - n(d). Is s(h) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 439 + -437. What is the third derivative of -84*m**d - 16*m**3 - 93*m**4 + 5*m**4 + 46*m**3 - 29*m**3 wrt m?\nAnswer: -2112*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 180098349167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 - 3*-3*1683\/27 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2670.\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -168 divided by 2?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 2*m - 7 = 0. Let h = -2 - -6. What is the remainder when m is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 922669, 1844915, 2767157, 3689395, 4611629?\n\"Answer: -2*v**2 + 922252*v + 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, d: 18}. Give prob of sequence dc.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 461641 to the power of 1\/2, to the nearest integer?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 z when two letters picked without replacement from sszzssrstspszrqqs.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 12631744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve l = -2*y, 107*l = 102*l + 2*y + 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7109 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 4 = -3*u + 14, -5*u + y + 18 = 0. What is the closest to -2 in u, 1\/3, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) 79  (c) -0.08  (d) 7  (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 8*c - 3. Suppose -3*g + 8 - 2 = 0, 4*g = -2*u - 46. Let b = u - -22. Let z(x) = 12*x - 5. Determine b*z(a) + 8*l(a).\nAnswer: 4*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10426, 0, 5 in ascending order.\nAnswer: -10426, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-10)\/4*18\/(-15). Suppose -r*k - 4*m + 21 = 3, m = -5*k + 13. What is the third derivative of 2*v**4 + 2*v**3 - 3*v**4 + v**2 - k*v**3 wrt v?\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ngniqen. Give prob of picking 1 g and 2 n.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2044 times 5?\nAnswer: 10220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:19 AM and 5:28 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(42)\/(sqrt(384) + sqrt(6) + sqrt(6)) + ((-4*sqrt(77))\/sqrt(11))**2.\nAnswer: sqrt(7)\/10 + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3945518 and 856?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 245258 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: What is the remainder when 320 is divided by 91?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2133 and 177113.\nAnswer: 377782029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -s - 3*a, -2*a = 2*s - 4*a. Let m = 0 - s. Let k(j) = m + 6*j + j**2 - 1. What is k(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, w: 9, a: 2, n: 4}. What is prob of picking 2 a?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 1, 0.06, 38, -0.4, 235 in increasing order.\nAnswer: -4, -0.4, 0.06, 1, 38, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -2195.82635 to the nearest 10.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 7) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*u**2 - 11*u + 11*u - 269*u**3.\nAnswer: -269*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 6*t = -q - 7, 3*t - 5*q = -13. Let y be (21\/70)\/((-3)\/t). Let n be (1\/4)\/(6\/(-32)). Sort 0, n, y in decreasing order.\nAnswer: y, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 505 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (g**2 - 2*g**2 + 0*g**2)*(10523 - 36385 - 9222) to u + j*g**2 + q*g and give j.\nAnswer: 35084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 43.9 + -44. What is the biggest value in 0.2, 1\/4, z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1064383257 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -56 - (-2 + -1)\/(-3). Let w be (k\/(-27) - 2)*3. Factor -16\/3*t**2 + 8\/3*t - w.\nAnswer: -(4*t - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/2 and 200\/192*2\/5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xu when two letters picked without replacement from hxuxuhxhuuhhxhg?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (9\/6 - 3)*-12 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 10.52021 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**3 - 4*z**2 + 6*z + 7. Let q be m(-5). Let i be (q - 1)\/((-1)\/11). Let r = 25 + i. What is the remainder when 41 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**2 + 13072*a - 287108. Calculate z(22).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 + 13. Let y = 11.3 + -18. Let x = u + y. Which is the second smallest value?  (a) -0.5  (b) x  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes before 1:08 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 15163 + -60653\/4. Let x = -79.9628 - -80. Which is bigger: x or l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d + 1. Let x(k) = -k**2 - 17*k - 13. Let h = -67 + 68. Let m be (h - 3\/1)*(32 - 24). Let r be x(m). Calculate n(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 389*x + 35. What is the tens digit of p(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -0.3, 0.9, 15, 9, -2 in increasing order.\nAnswer: -2, -0.3, 0.9, 3, 9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -220, 0.2, 454\/187 in ascending order.\nAnswer: -220, 0.2, 454\/187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 8, k: 3}. Give prob of sequence kkpp.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 + 23 = -3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3\/5  (b) 3  (c) 2  (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.23398 + -0.23398. Which is the closest to -2?  (a) -0.1  (b) 1\/3  (c) f  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -28628?  (a) 5  (b) 0  (c) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89*m = 85*m + i + 21411, 3*m = 5*i + 16037. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.274 - 0.04062?\nAnswer: 0.23338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8753 + -8720. Solve -t*r + 9*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 7*k = 7692. What is k rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -2*m**3 - 12*m**2 - 13*m + 2. Let c be z(-12). Let a = c + -788. Round a to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 46 - 47. Which is smaller: n or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1756 - -6923\/4. Let i = 199\/5 - 3847\/90. Find the common denominator of i and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -3*c**3 - 9*c**2 - 7*c - 9. Let y(u) = u**3 + 2*u**2 + u + 1. Let k(q) = s(q) + 2*y(q). Give k(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/15)\/((-142)\/(-213)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together 47369 and -1396.\nAnswer: 45973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -7*f**2*o**2*p*z - 4*f**2*o**2 + 88*f**2*o*z + 455*f**2*p*z - 3*f*z wrt p.\nAnswer: -7*f**2*o**2*z + 455*f**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*j - 18 = -4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Are 23615 and 23616 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1380, -2681, -3984, -5289, -6596?\nAnswer: -7905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 545410905.\nAnswer: 3, 5, 13, 41, 68219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 23 + -9. Calculate the remainder when (-54 - -1)*(5 + -6) is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 4*g. Suppose 0*p + 16 = -p. Let a be (3\/2)\/((-12)\/p). Let o(i) = 0*i**2 - 3*i**a + i**2. Determine o(n(f)).\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-169*r**2 - 87*r**2 - 95*r**2 + 353*r**2 - 50)*(2*r + 0*r + 0*r).\nAnswer: 4*r**3 - 100*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 184850803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/315, 2\/9, 3, 0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 822*2679.71\nAnswer: 2202721.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -19.21 - -19.61. What is the closest to 3 in 0, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 94055.62 centuries?\nAnswer: 9405562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - (-111)\/28)*24\/(-9).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2420 and 110.\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**3 - 13*k**2 + 19. What is q(13)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 81*(-60)\/(-6480) - 7*(-1)\/4?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the second derivative of -g**5\/20 + 17*g**4\/12 + 94*g**3\/3 + 150*g**2 + 7*g + 652. Determine a so that v(a) = 0.\nAnswer: -6, -2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.152 - 0.15199889. Round g to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 172729388 - 31251\nAnswer: 172698137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3 + -3 + 24)\/(-1). Let a = -22 - t. Calculate the remainder when 5 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 5*o - 1. Let i be k(1). Let y(l) = l**2 + 17*l + 32. Let c be y(-15). What is the first derivative of -c - 4*a**4 - 1 - a**i + 0 wrt a?\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1927 * 0.01.\nAnswer: -19.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -2*w + 0*w + 0 - 2. Suppose 0 = -2*l - 4 + 8. Let q(j) = -10*j - 1. Let p be q(1). Let o(d) = -10*d - 11. Calculate l*o(s) + p*y(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8 + 19. Let s = 72 + -76. Let b(c) = -3*c - 6. Let a(m) = -m - 2. Determine l*a(r) + s*b(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -15 - -7?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**3 - 9*n**2 + 8*n + 3. Let o = 21 + -13. Let c be j(o). Solve 0*h = -h - c for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o + 49 = 3*h + 2*h, 3*o = 30 - 33 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/((c*c\/(c**0\/c))\/c*c*c*c))**19)**(2\/23))**(2\/17) assuming c is positive.\nAnswer: c**(-304\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 466153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**2 + 3*g + 5. Let d be n(-3). Let j(c) = -c**2 + 5*c - 1. Let v be j(4). Solve -4*r - v*p + 14 = 0, -p + 8 = d*r - 2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -327, -326, -325, -324, -323, -322?\nAnswer: -321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**3 + 229*u**2 + 9033*u - 30331. What is x(-177)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1028, -2182, -4106, -6800, -10264, -14498, -19502?\nAnswer: -25276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes before 10:59 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66384 is divided by 1011?\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 4*(sqrt(1584) + (1 + sqrt(1584) - sqrt(1584))) + 0 + -1*sqrt(1584) + (-3 + (sqrt(1584) - sqrt(1584)*-2))*-5)**2.\nAnswer: -5760*sqrt(11) + 228496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3\/(-12))\/(10\/(-32)). Let c = 8.8642 - -0.1358. Which is smaller: c or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -2*t**2. Suppose -5*d = -d - 8. Let h(m) = -m - m**d + m - 3*m**2. Determine h(b(w)).\nAnswer: -16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -19 - -43. What is the remainder when 94 is divided by d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3426 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -266*d + 6. Let u(c) = -93365*c + 2104. Let x(r) = 1052*f(r) - 3*u(r). Let l(j) = -j. Calculate x(l(y)).\nAnswer: -263*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 144*r**2 - 16*r + 88. What are the prime factors of g(5)?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 4) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together 19289151.1 and 1.88.\nAnswer: 19289152.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1489 is divided by (-10)\/(-2)*(26 + 912\/(-40)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -293208*g**6 - 5*g**3 + 1940128*g**2 wrt g?\nAnswer: -35184960*g**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-3 - (-275)\/10)*2 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m + 1. Let b be q(3). Let n = -20 - -14. Let u be (-1)\/(-2)*-2 - n. Does u = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1564\/(-17))\/(-460)*(-7)\/14?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7097.\nAnswer: 47, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 663\/14 - 580\/7. What is the common denominator of 29\/4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the first derivative of 0*n + 7 + 0*n**3 + 11\/2*n**2 + 0*n**4 - 1\/3*n**6 + 0*n**5. What is the second derivative of b(j) wrt j?\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2113 - 7?\nAnswer: 210a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -5*w - 23. Let c be n(-6). Suppose 3010 = 3*h + 5*o, c*o = 5*h + 6*o - 4970. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the first derivative of -7*a**4\/4 - 5*a**2\/2 - 9. What is the second derivative of n(r) wrt r?\nAnswer: -42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -39, -2, 0.5.\nAnswer: -39, -2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, 4, -32.\nAnswer: -32, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1708476 and 562569.\nAnswer: 1064380548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-19\/6)*o*o)**(-32)\/(o**6*o\/(o*o**(-36))) assuming o is positive.\nAnswer: o**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 345133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bz when two letters picked without replacement from zqzqzqbb.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -o**4 - 8586*o**3 + 2*o**2 + o - 968959?\nAnswer: -12*o**2 - 51516*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**2 + 5*l - 5. Let k be c(4). Let m = -23\/14 + 8\/7. Let x = -1\/189 - -193\/756. What is the biggest value in m, k, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -1 - 15 - 5*d + 2*d + 2*d. Let o be r(-16). Solve 2*x + 2*x + 8 = o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, l: 2, g: 1}. What is prob of sequence rlr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -27.4 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 53, 135, -594 in descending order.\nAnswer: 135, 53, -594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 112 + -77. Is v smaller than 137\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -15*s**3 + 4*s + 10*s**3 - 5*s**3 wrt s.\nAnswer: -60*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 5 = -4*y, m = -5*y - 8 - 3. Let c be (-4 + m)*(2 - 1). Let p(w) = w**2 + 2*w + 4. Is p(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 243805069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**3 - 21*l**2 + 7*l - 41. List the prime factors of d(22).\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 18054 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 6 = -12. Let w be 60\/15*2\/(-12)*l. Suppose -z = 4*a - 0*z - 24, -4*a - 5*z + 40 = 0. Solve 2*j - 24 = -w*j + s, -a*j - 5*s + 5 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 190*o**2 - 13*o - 50. What is the tens digit of r(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/15 - (-2)\/(-15))\/(112\/(-48)).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 1)*(-2533*s + 238*s + 369*s).\nAnswer: 1926*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -285 = -v + 222. Suppose v = 2*s + 5*j, 3*j - 205 = -s + 49. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 0*j - 3*j + 10*j**2 - 2*j - 13 + 16*j**3 - 15*j**3. What are the prime factors of w(-10)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 - 3. Let r be 190\/16 - l\/72. What is the highest common factor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 96\/(-40)*287\/164\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 283542765461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -2*a. Let v(m) = 18*m**2 + 0*m**2 + 3*m**2. Calculate v(n(q)).\nAnswer: 84*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 24336 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*u = -5*w - 61*u + 133149, -2*w + 53219 = 5*u. List the prime factors of w.\nAnswer: 26627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -0*n. Let p = 3 - n. Suppose p*m + m = -z + 112, -2*z = -m + 19. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14)\/(4\/1*14\/14).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 8*o**2 + 49978*o - 37488 = 0. Calculate o.\nAnswer: -6248, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 540 minutes before 2:06 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Round -468.879 to the nearest 10.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = 3*p - 94, 2*p = 3*u - 3*p - 56. Let m be (u\/10 - -2)*5. Solve -4*t = -s + m, 4*s + 4*t - 9 = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.1  (b) 4570  (c) -5  (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -2706, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7 + 11. What is the remainder when 70 is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -6525, -7230, -7935?\n\"Answer: -705*x - 5820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1048328 by -6.\nAnswer: -524164\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1408328 by -50.\nAnswer: 704164\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4300 and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 15\/4 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 14*b - 65. Calculate g(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4375 - -9222. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 98038069 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8418, -31282, -68624, -120444, -186742, -267518?\nAnswer: -362772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 533, 1066, 1599, 2132, 2665?\n\"Answer: 533*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the second derivative of -i**5\/10 - 25*i**4\/3 - 31*i**3 + 144*i**2 + 285*i - 8. Suppose d(j) = 0. Calculate j.\nAnswer: -48, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((sqrt(600)\/(1*sqrt(972)))\/(sqrt(80)\/(2*sqrt(200))))**2 + -4.\nAnswer: -148\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, b: 1}. Give prob of sequence pb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*a**4\/2 - 63*a**3\/8 + 81*a**2\/8 + 21*a + 9\/2 = 0. Calculate a.\nAnswer: -6, -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4803 is divided by 89.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.0812215 and 0.5?\nAnswer: -0.04061075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -949*r**2 + 2 + 58*r**2 - 640*r - 639*r - 4 + 1279*r.\nAnswer: -891*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Do 3\/53 and 8\/35 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 605671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 20578 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 3366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62 = 3*g - 106. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-39)\/(-26)*38\/3?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (-2 + sqrt(7))*5 - sqrt(28)\/((sqrt(32)*4)\/sqrt(8)))**2.\nAnswer: -57*sqrt(7) + 3103\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23898 is divided by 7951?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l**3 + 2*l**2 - 54*l + 135. Determine k(3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**3 - 9*y**2 + 18*y + 3. Let x be p(6). Suppose -2*f + 3*f + 68 = 2*d, -x*d = f - 97. List the prime factors of d.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.024 + -0.0132. Round y to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5151196 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2789 is divided by 710?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b - 3*j = 9, -b + 14 = 4*b - j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -24528*a**2*d - 11*a**2*p - 15*a**2 + 9*a*d*p - a*p - 2*a + 41*p wrt d?\nAnswer: -24528*a**2 + 9*a*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 3)*(-s**2 - 2*s**2 + 2*s**2) - 12*s**2 - 2914075 + 5*s + 2914075.\nAnswer: -10*s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -71, -140, -209, -278?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -37 - -152. What is the remainder when w is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = 21*o - 23*o - 716, -5*u + 2*o = -1784. Let j = u + -363. Sort -2\/5, j, 4, 2\/19.\nAnswer: j, -2\/5, 2\/19, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59 - 39*i**3 + i + 59 - 42*i**3 + 65*i**3.\nAnswer: -16*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**3 - x**2 + 4*x + 56. Calculate the remainder when k(0) is divided by 291\/15 - (-2)\/(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -119\/78580 and 53\/702?\nAnswer: 27581580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Are -857 and -11525 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 3*t + 206, 7*g - 2*g + 3*t - 515 = 0. Which is bigger: 102 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3\/7*w**5 + 0*w**3 + 0*w + 6\/7*w**4 + 0*w**2 + 0 = 0. What is w?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1616*c**4 - 142*c + 1076336.\nAnswer: 6464*c**3 - 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 3896, 3902, 3920, 3956, 4016?\n\"Answer: q**3 - q + 3896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -2*w - 3*b + 2, 0 = -b - 2. Suppose 2*a = 2*g + 1136, 0*a = 4*a + w*g - 2302. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xvx when three letters picked without replacement from {v: 11, w: 4, c: 1, x: 3}.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*o**3 - 16*o**3 + 29*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-5 + 4)\/((-2)\/6). Suppose -4*q + 7 = -5*m, 2*q - 5 = v*q + m. Let b = 0 - 2. Is q at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1166 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**2. Let n be 4\/(-6) - (-152)\/12. Let p be n\/3 + -4 + 0. Let t(h) = 2*h + p*h + 6*h - 2*h. Determine t(w(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 20420\/99 - 1876\/9. Find the common denominator of i and (-1 + 19\/(-3))\/(460\/(-621)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.2, -1\/9, -62, -498148?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 2*l = -3, -c + 2*l = -2 - 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**3 - 28*f**2 + 31*f + 64. Calculate d(-29).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3b2d - -5?\nAnswer: 3b32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the second derivative of f**5\/10 + f**4\/6 - f**2\/2 + 86*f. Suppose -2*y + 2 + 0 = 0. Determine x(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 19*b**2 - b**2 - 2 - 10*b**2 + b + 44*b**3 - 10*b**2 in the form g*b + u*b**2 + q*b**3 + n and give q.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 520*g + 66 = 5*f + 522*g, 5*f + 63 = g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 245*b**3 - 12510*b**2 + 93375*b - 5670.\nAnswer: 5*(b - 42)*(b - 9)*(49*b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the first derivative of -o**2 - 3. Let w(d) be the second derivative of 0 - 2*d + 0*d**2 + 1\/6*d**3. Calculate -v(j) - 3*w(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5 and 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*u**6 + 1476204*u**5 - 3*u**3 - 2*u**2 - 4396812 wrt u.\nAnswer: 240*u**3 + 88572240*u**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 536014?\nAnswer: 2, 83, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 22 and 2539814.\nAnswer: 27937954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 73518456 and 528.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:17 AM and 1:17 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 3 = 2*n, -d - 4*n - 28 = 0. Let t = 8 - 17. Let q = t - d. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01220533 to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-20)\/10)\/(1\/1). Is q + 33*(-10)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 88765 = -5*q, 621*q - 623*q - 4*s + 35480 = 0. List the prime factors of q.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bffmbbfm. Give prob of picking 2 b, 1 f, and 1 m.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 138*n + 661*n + 18377 = 0 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 11*q**2 - 4*q + 4. Let n(w) = -21*w**2 + 7*w - 7. Let r(i) = 4*n(i) + 7*p(i). Let v(d) = d + 11*d + 10*d + 2*d - 27*d. Determine v(r(l)).\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6867796 * -0.4.\nAnswer: 2747118.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11 + 11. Let i = h - 17. Solve -10 = -0*l - i*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-12)\/15)\/((-10)\/700). What is the second derivative of m + 5 - t*m**2 - 4 - 3*m + 3 wrt m?\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1111111111111001110100 (base 2) to base 13.\nAnswer: -b3ac04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*(95\/(-19))\/45.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-54)\/84 - 1802726\/(-2734508)?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.88 - 1.12. Which is the nearest to f?  (a) 2  (b) 0.06  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes after 12:09 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*m = 3*m + 15. Find the second derivative of m - 4*b + 7*b**3 - 3 + 7*b**3 wrt b.\nAnswer: 84*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8 (base 13) to base 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*a + 177 - 172. What is the closest to -1 in -0.13, -2, 1\/5, a?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1406*o**2 + 2*o - 1035?\nAnswer: -2812*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 183 rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -l - 27, -u + 5*l + 10 = -13. Let v = u + -5. Suppose 4*c = v*c. Solve c*t - 4*t + 8 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -110031 (base 6) to base 4\nAnswer: -2032003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 94162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x + 80. Let a be s(12). Let k = 1580 - 968. What is the highest common factor of k and a?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**2 - 7*f + 5. Suppose -p + 2 + 9 = 0. Let w = p + -5. Give c(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**3 + 5*v**2 + 3*v + 27. Calculate the remainder when 239 is divided by b(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the third derivative of 0 + 1\/120*z**6 - 11\/60*z**5 + 0*z + 18*z**2 - 1\/12*z**4 + 5\/6*z**3. Calculate f(11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 1 = -4*g. Calculate the lowest common multiple of g and 0\/3 + (-3 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -8*4*(-6)\/96. What is the third derivative of -7*w**n + 27*w**2 + 740*w**4 + 16*w**5 + 85*w**5 - 740*w**4 wrt w?\nAnswer: 6060*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -14 + 185d?\nAnswer: 1849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {w: 1, n: 3, z: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 586 minutes after 7:07 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/4*((-78)\/(-12))\/(-13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8861 - 132913\/15. What is the closest to o in -0.3, 2\/7, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31 is divided by 29?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w + 46 = 3*q, w + 651*q = 655*q + 2 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -2aaa0 (base 12) to base 5\nAnswer: -3412222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:10 AM and 5:52 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 167\/2310906 and -41\/45580.\nAnswer: 23109060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 89, 139, 189, 239, 289, 339?\n\"Answer: 50*k + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 plus 169?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 10601 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 24585 and 187740.\nAnswer: 2065140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - 4*v - 5999996, -v = -5*t - 4*v + 7500003. Suppose -u = -2*u - t. What is u rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * -28006.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -12a49 - 0?\nAnswer: -12a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -587, -586, -583, -578, -571?\n\"Answer: l**2 - 2*l - 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 520228 + -5?\nAnswer: 520223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 234825 less than -4917.202?\nAnswer: -239742.202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*r + 36 + 138 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -6*n + 132. Let y(b) = 2*b**2 - 30*b + 48. Let j be y(14). Let w be o(j). Solve 6*x = 6 + w for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 412\/3 + -138. Which is the second smallest value?  (a) n  (b) 2\/9  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2*26*(-1 - 1). Let h be ((-6)\/(-8))\/((-39)\/y). Solve -h*c = -3*s + 3, -4*c = s - 0 - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (168\/2)\/(-4) - -3. Let c be ((-2)\/h)\/1 + -1. Is -2 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 + 0. Let s = 1119 + -1119.4. Suppose -25 = 2*o - 3*x - 18, o - 2*x + 5 = 0. What is the smallest value in o, b, -3, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1386775 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 312 - 313 = -5*g - 3*d, -4*g - d - 2 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the third derivative of 0*y**7 + 0*y + 0*y**5 - 1\/12*y**4 + 0*y**6 + 2*y**2 - 1\/336*y**8 + 0*y**3 + 0. Find the second derivative of s(h) wrt h.\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 4*i = -38. Calculate the highest common factor of 57 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 + 125472?\nAnswer: 125471.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1\/4)\/h)**7*((h*h*h*h**9)\/h*h)\/(h\/(h**10\/h)) assuming h is positive.\nAnswer: h**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 + 3 + 63 + 2. Suppose 0 = 5*x - 7*x + v. Calculate the highest common divisor of x and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x + 0*x + 2*x**2)*(2 - 3 + 3) + 3*x**2 + 0*x**2 - x**2 + (3*x - 6*x + x)*(0 - x + 0) - 1 + 2*x**2 + 1 + 3 - 3 + 2*x**2 + (-4*x - x + 4*x)*(x + x + x).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001499574935 rounded to 6 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 less than 14415098?\nAnswer: 14415108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -14 - -16. Find the third derivative of -9*z**2 + 11*z**2 + t*z**6 - z**6 wrt z.\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**2 - 6*a - 1. Suppose 4*w + 0*w + 32 = 2*y, 3*w - 4*y + 34 = 0. Let g be j(w). Let k = 475\/3 + -159. Is k smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkmgmnnvkgmrkmg. Give prob of sequence gkr.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 158 = m, -2*w = 5*m - 0*w - 796. Suppose -l - 3*l + m = 0. Solve -a - 2*o = 6 + 9, 5*a + 3*o + l = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**3\/9 + 15524*j**2\/9 + 5174*j\/3.\nAnswer: 2*j*(j + 1)*(j + 7761)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 11011 (base 4) in base 5?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*f**3 + 295*f**2 + 1315*f - 14575.\nAnswer: 5*(f - 5)*(f + 11)*(f + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 110684212 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5\/6 of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes after 4:14 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*f + 7*f + 48 = 0. Let h be 3\/f + (-91)\/28. What is the hundreds digit of h + (129 - (-5)\/(10\/4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1441 + -1376. Let w be (-254)\/(-6) + (-2)\/6. Suppose 3*h - 3*j = w, -h - 3*j - 1 = -11. What is the highest common divisor of h and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 3*z + 3 = 0. Suppose 0 = w + z*l, 0 = 3*w + w - 5*l + 17. Suppose -4*d - 20 = d. Which is greater: d or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j + 25*s - 26*s + 12059, 0 = 4*j + s - 9648. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -72*b**2*g*h - 4*b**2*g + 6*b**2 - 2*b*g*h - 24*b*g - b*h - g*h + 86*h wrt b?\nAnswer: -144*g*h - 8*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (69\/(-2) + 33)\/(7*(-33)\/(-10010))\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.039 + 6.351. Let y = 6.19 - t. Put y, -1\/3, 16, 2\/7 in descending order.\nAnswer: 16, 2\/7, y, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 89491655?\nAnswer: 5, 11, 17, 95713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l + 4*x + 6, 5*l + 5*x = x + 9. Suppose 2*d + 5 - 13 = 0. Suppose 0 = d*t + t + 5, -l*w + 5*t + 20 = 0. Let r(g) = -g**2 + 2*g - 2. What is r(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10 - (-5056)\/504)*-3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 4*a + 23 = 5*p, 0 = 2*p - 2*a - 10. Solve -p*l - 11 = 3*y + 2*y, 2*y + l = -2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -253 + -278. Let r = 830 + c. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 + 26. Let w = x - -2. Calculate the remainder when 70 is divided by w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-23)\/(-7) + (-2)\/7. Suppose -o*k - 833430 = 1299000. Let j = k + 2010810. What is j rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 b and 1 n when four letters picked without replacement from iininibnbibniinbi?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:58 PM and 7:53 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 5*p**2 + 10818*p - 108676. Determine k(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 2*f = 12, -2*a - 5*f = -a - 14. Let h = -2234 - -2262. Let p = h + a. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 373590187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-44)\/(-30)*(-864)\/(-768))\/(78\/208)\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/1860 and -13\/480?\nAnswer: 14880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.6?  (a) -2  (b) 0.4  (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 5*v - 6. Let z be w(2). Solve -5*q = m + 10, z*q = 2*m - 2 + 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -150124*t**2 - 3*t. Let o be k(4). Let x = -1198004 + o. What is x rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -3 + 0*x + 7 + x. Calculate p(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6864 divided by -78?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52045 = 553*v - 19418 for v.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the second derivative of o**6\/15 - 13*o**5\/10 + 29*o**4\/6 + 133*o**3\/3 - 294*o**2 - 70*o. What is f in j(f) = 0?\nAnswer: -3, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 2 j, and 1 b when four letters picked without replacement from djbwwbdbdcbjddbbjbd?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 169*o - 76*o - 76*o - 8698747. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3675 = 200*f - 725*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8907*o**3 - 9028*o**3 + 28516*o**3 - 9003*o**3.\nAnswer: 1578*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h**3 - 35624*h**2 + 52927980*h - 52892352 = 0. Calculate h.\nAnswer: -10203, 1, 1296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, b: 1}. What is prob of sequence zz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -40 + -41. Let f be j\/4 + (-1)\/(-4). Let u = -11 - f. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1937 - 106542\/55. Which is the fourth smallest value?  (a) -0.3  (b) 3\/2  (c) z  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -252, -1028, -2316, -4110, -6404?\n\"Answer: i**3 - 262*i**2 + 3*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.3 + 2.9. Let x = a + -0.6. Let l = -3 - -4. What is the third biggest value in l, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, e: 3, s: 7, d: 2, b: 7}. What is prob of sequence deee?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -3*x - 12 - 15 + 14. Let r be n(-5). Let p be 0 + -2 + 1*6. Solve 3*g + 2 - 11 = -r*t, -g = p*t + 7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3735 - -3703.41. What is n rounded to one dp?\nAnswer: -31.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -7001675  (b) 0.3  (c) 1  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 757*m - 819*m = -145018. Does 24 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -41077749 and -41077748 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:14 PM and 8:14 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/39  (b) 5  (c) -1896194  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 5*l. Let i(o) = 1507*o. What is k(i(u))?\nAnswer: 7535*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h*h*h**(3\/16)*h\/(h\/(h\/(h\/h**(-4))))*h*h*h*h**5*h*h*h\/(h\/((h*h*h**(-1\/2))\/h)) assuming h is positive.\nAnswer: h**(139\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -x - 5*x + 4*x + (1 - 1 + 1)*(1 + 3 - 6)*(15 + 10*x - 26*x + 14*x).\nAnswer: 2*x - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3509172 and 192600?\nAnswer: 3852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*u = -153 + 529. Calculate the remainder when 160 is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 5 + 12*t**2 - 7*t - 7*t + 4*t + 7*t + 16*t - t**3. Determine y(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 4*x**2 + 24*x + 37. Let g be d(-3). Suppose 6*p - p = 10. Solve -b + p = -g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 - 0. Suppose -16*l = -5*l - 55. Solve 3*v + 14 = t + i, l*v + 22 = 2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, -3\/7, 4, 24339, 2 in ascending order.\nAnswer: -3\/7, 1\/4, 2, 4, 24339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/324564410 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 16 = -0*t - 4*g, -5 = -5*g. Suppose t*v - 7402 = -2*m, -m + 14792 = 3*m + 4*v. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = 2*u - 303, -u - 18*t + 149 = -13*t. Suppose 4*y + 0*y + 212 = -5*z, -4*y - z - 196 = 0. Let o = u + y. List the prime factors of o.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 463, 951, 1475, 2041, 2655, 3323, 4051?\n\"Answer: v**3 + 12*v**2 + 445*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:23 PM and 3:00 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-26))\/(15\/10).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**2 + 29*f - 238. Calculate x(-34).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i**5\/9 - 11828*i**4\/9 - 82456*i**3\/3 + 813092*i**2\/9 - 836758*i\/9 + 94288\/3 = 0.\nAnswer: -5893, -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90 = 4*w - o, 4*w + 7*o - 75 + 1 = 0. Calculate the smallest common multiple of 13*-3*(-2)\/6 + 3 and w.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttit when four letters picked without replacement from wwjitei.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((0 - 11) + -5 - -20) + 15.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.275891 to two decimal places.\nAnswer: 4.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5\/58 + 41\/29. Factor -1 + z**2 - h*z.\nAnswer: (z - 2)*(2*z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 103 divide 55045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 72 and 13667616?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -c - 262795 + 3*c**3 + 4*c**2 - 4*c + 262795 in the form t*c**3 + f*c + m*c**2 + s and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 130314 and 4696.\nAnswer: 521256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -3022732200 to the nearest one million.\nAnswer: -3023000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 18180570 a multiple of 865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4842 is divided by 173.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -40 + 39.9999844. Round w to 6 decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 4*l - 4 = 0, -c - c + l = -8. Factor 0 + 3*j**2 - j**2 + 3*j**4 - 1 - c*j**4.\nAnswer: -(j - 1)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**2 + 21*g + 121. Determine s(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/42 and 3\/11.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from xxoooo?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 112 divide 12783405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 36 + -68. Let v = b + 47. What is the remainder when 44 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*z**4\/2 + 1545*z**3\/4 + 129*z**2\/2 = 0.\nAnswer: -1\/6, 0, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.03, -1\/5, -0.428?\nAnswer: -0.428","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(11) + -4 + sqrt(11) - (sqrt(11) + -1 + 3))**2.\nAnswer: -12*sqrt(11) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**3 + 5*t**2 - 5*t - 3. Let l be a(-6). Let s = -4 - l. Let g = 35 - s. Is g a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is b3bb4 - 57?\nAnswer: b3b59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 5*j**2 + 9*j - 2. Let m be t(-2). Solve 4*d + 113 - 89 = m for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 2*h**3 - 39*h**2 - 79*h + 8. Calculate l(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.33 - 0.4. Let v = 4.62 - 0.69. Let o = v - y. What is the smallest value in -6\/5, o, -1\/3?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jqjw when four letters picked without replacement from wjqjw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*w - 33*w + 11524 = 53*w + 53*w for w.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -8 (base 12) to base 2\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -59.60483 + -0.39517. Sort -25, y, 0.4 in decreasing order.\nAnswer: 0.4, -25, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.828 + 0.172. Let x = -11 - -6. What is the smallest value in x, 4, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 5 = -5*o, -i - o - 7 = -2*i. Suppose -5*c = -z - c + 12, -5*z + 2*c = -24. Let f be 6*(18\/4 - z). Solve b = f*b + i for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 take away 113216?\nAnswer: -113216.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {x: 2, n: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -28*q - 1. Let h be i(-1). Let g be 18\/27*h*2. Suppose -g = -p - 3*p. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 186 + 3627 = 31*n. Calculate the remainder when 1074 is divided by n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-30)\/(-2))\/((-15)\/(-25)). Let a = n - 16. Calculate the least common multiple of 11 and a.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/(-20))\/(78\/130).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 5  (b) -0.3  (c) -67\/4  (d) -1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 + 2 - -5) + 3 + 3 + -33?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -53954, -53946, -53932, -53912, -53886, -53854?\n\"Answer: 3*o**2 - o - 53956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ovot. Give prob of picking 1 o and 1 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 36396, 72799, 109202, 145605, 182008?\n\"Answer: 36403*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -37.059 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the second derivative of 0 - j**2 + 25*j + 61\/3*j**3. What is the tens digit of g(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 29 and 406?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -7*6\/945*(1 - (-4)\/(-1)). Which is the nearest to -0.1?  (a) v  (b) -5  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 22535467?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7922962 is divided by 110041?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 3*a + 5*z - 207 = 0, -3*a = -3*z - 300. Suppose -d = -3*r - r + a, d + 26 = r. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 68 + 733. Let j = -265 + p. Let i(q) be the third derivative of q**4\/12 + q**3\/6 + q**2. Calculate i(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2\/375 + -728\/4125. Let q = -51 - -50.9. Which is greater: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 1, g: 1, r: 3}. Give prob of sequence gjg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = 2*x + 9, 2*x = 4*x - 6. Let v(j) = -j**3 - 2*j**2 + 2*j. Suppose -2*l - 31 = -35. What is the remainder when v(f) is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 3 + 14*a + 0)*(1 - 1 + 39*a**3).\nAnswer: 546*a**4 + 78*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2694240577 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 98*-26.8\nAnswer: -2626.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1996 or -7525?\nAnswer: -1996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 != 3\/163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -29*t. Let s be g(4). Suppose 6779 + 26232 = -343*u + 2619 - 8710. Is u >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**3 - 55*p**2 + 73*p - 1022. What is s(54)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjeeeeeeeeejje. What is prob of sequence eee?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a*a**(-3\/8)*a*a**(-2\/57))**(-4\/5))**(1\/49))**(1\/4) assuming a is positive.\nAnswer: a**(-145\/22344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 34\/(-595) + 36\/(-70)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2087, 4163, 6239, 8315, 10391, 12467?\nAnswer: 14543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*j = -48*j - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*c + 8*c + 3*c + 4*c + 41.\nAnswer: 25*c + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -74.729 - -74.829. Let f = 0.03 - -5.97. Which is the closest to o?  (a) -5  (b) f  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 - 102?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 142174 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2b + -2?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = -5*z - 0*s + 5, 3*z - 2*s - 2 = 0. Suppose -12*c + 13*c - 3 = z. Let f(h) = 49*h**2 - 17*h + 1. Is f(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 245 and 5732951.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 6:39 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 p when two letters picked without replacement from pyh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 21733820?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l. Suppose -1503*p = -1496*p + 7. Let t be (-36)\/234 - (p - 30\/26). Let j = -1 + -4. Let o(b) = b + 1. Determine j*i(a) + t*o(a).\nAnswer: -3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14369 - -14395. What is the highest common divisor of z and 4654?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*y = -11*y + 9. Factor 8*k + 24*k**2 - 14*k**4 - 3*k**3 - 17*k**y + 2*k**3.\nAnswer: -2*k*(k - 1)*(k + 2)*(7*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 9*f**3 - 4*f**2 + 2*f + 12. Let r be b(5). Let i = -2242 + 3749. Let m = r - i. Round m to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7237.0138 to the nearest one hundred.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 59941*n**5*o**3 + 166*n**5 + n*o**2 - 1020*n - 3*o**3 - 115*o wrt n?\nAnswer: 1198820*n**3*o**3 + 3320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 42 and (82 + -80)*1*27.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2.1 or 12180?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -45 + 45. Calculate the remainder when 11 is divided by m\/2 - (-7)\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*m + 71701 + 18*m + 71693 - 215095 + 71701 - 4*m**2.\nAnswer: -4*m**2 + 11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-716*l + 10 - 391*l + 1446*l)*(-l**3 - l**3 + 0*l**3).\nAnswer: -678*l**4 - 20*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -117845646 + 117845646 + 627*c.\nAnswer: 627*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 667554071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -334 - -339. Suppose -2*r = -2*y - 8 + 6, 0 = -3*y + u*r - 1. Is y equal to -22\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 279\/8 - 281\/8. Which is smaller: d or -324?\nAnswer: -324","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -136 (base 10) in base 7?\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t - 5. Let p be b(9). Let k(y) = y + 11. Let g = -11 - -6. Let s be k(g). Calculate the greatest common divisor of s and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, m: 9, y: 2, t: 2, d: 3, q: 1}. Give prob of sequence mydq.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, t: 1, m: 1, u: 1, c: 1, v: 2}. Give prob of sequence tvf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -10163 (base 7) in base 4?\nAnswer: -212333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 14*m**2 - 1977*m + 11754. What is f(135)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3)\/12 - (-7)\/(-4). Let s be (t - -2 - 6)*-1. Suppose -3*m = -s*m + 3. Sort -2, -1, m in ascending order.\nAnswer: -2, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02082 to 3 decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 7 + 24 = -5*v, -13 = 3*v + l. Put 2, 0, v, 6 in increasing order.\nAnswer: v, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1872) + -2)*-6)**2 - ((sqrt(208) - sqrt(13))*5 - (sqrt(637) + -2 + sqrt(637)))**2) + -4.\nAnswer: -1732*sqrt(13) + 67515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -4*o**3 + 2*o**2 - 2*o + 1. Let t = 10 + -7. Suppose t*w + s - 16 = -s, 0 = 5*w + s - 15. Let c = w - 1. Give a(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1010?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.303 rounded to two decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -i - 2*j - 2, -5*i + 4*j = -i + 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -8541290 * 1\nAnswer: -8541290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - (11 - 13 - -5 - -8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*c + 410 = 31*c. Let j(m) = 36*m + 2. Let o be j(2). Let b = o + c. Calculate the least common multiple of 30 and b.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 2*y - 24. Let u(h) = 4*h - 47. Determine -3*u(r) + 5*z(r).\nAnswer: -2*r + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -21221022000 (base 3) to base 16\nAnswer: -2623e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(2\/29)*o**(-2\/7) assuming o is positive.\nAnswer: o**(-44\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 52895*-0.01\nAnswer: -528.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:05 PM and 7:04 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0.0240064+-191010\nAnswer: -191009.9759936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15890364?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(190)\/(1*sqrt(10)*-2).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 2 = -u. Let f(y) = 6*y**u + 3*y**2 - 8*y**2. Let p(k) = 3*k**2 - 7*k - 2*k**2 + 7*k. Calculate p(f(j)).\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 205 - 332. Let i = g - -193. What is the greatest common divisor of i and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -22a2 - 4?\nAnswer: -22a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3577 is divided by 93?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1110001101 - -111100001010101011?\nAnswer: 111100011000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8 + 5. Let x(a) = -a**2 + 3*a. Let t(l) = -l**2 + 2*l. Let m = 42 + -40. Calculate f*t(y) + m*x(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 74 = 3*o. Suppose -55*z + 148041 = 399*z - 108*z - 95197. Calculate the highest common factor of z and o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t**2 + 2*t + 3*t**2 - 4*t**2)*(-t + 2*t - 4*t).\nAnswer: 6*t**3 - 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4*49\/168)\/(84*9\/486)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.6 - -0.2. Let o = -6.82 + 4.85. Let g = o - 0.03. What is the second biggest value in g, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c**4 + 0*c**4 + 3*c**4)*(70 - 16 + 16).\nAnswer: 210*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 1 = 0, 3*u - 5*u = 4*d - 4. Suppose -u*c - 4*z = 8 + 4, 10 = -5*c - 4*z. Suppose -m + 32 = j, -c*j = -j - 5*m - 50. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30222322212 (base 4) in base 13?\nAnswer: 8c3aba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 6071 divided by 6071\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 154195124 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 57531, 57532, 57533, 57534?\nAnswer: 57535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 6381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -12085, -14948, -19713, -26374, -34925?\n\"Answer: w**3 - 957*w**2 + w - 11130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -2*s**3\/9 + 102876562*s**2\/9 - 205753118*s\/9 + 34292186\/3 = 0.\nAnswer: 1, 51438279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -103, -412, -925, -1642, -2563, -3688?\n\"Answer: -102*t**2 - 3*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63321011 - 31660162 + 3*n - 31660849.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 117464 to the power of 1\/2, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - m - 2*c + 374 = 0, c = 4*m - 768. Let o = m - 103. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by -320916?\nAnswer: -1\/320916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-22 - -14) + 4 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.2 - 0.1. Let m(n) = n**3 - 8*n**2 - 9*n + 6. Let r be m(9). Suppose g + 3 = r. Which is the third smallest value?  (a) d  (b) -3\/4  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -4\/3, -18, 23, 2\/13, 3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * 250943.\nAnswer: -752829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m - 11*m = -34. Suppose 3*p - 5*v = -25, 3*p - 8*p = 3*v - 15. Suppose p = 5*z - 4*z. Solve 3*a + 15 = 6*a - m*y, y = z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -64 - -60. Sort 2, 7, g, 3 in decreasing order.\nAnswer: 7, 3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-62 - (-22540)\/368)*16\/99?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 77021 is divided by 10993?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-94)\/(-1) - (-16 + (-550)\/(-25)) is divided by 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**2 + 1. Let z(g) = 4*g**2 + 2*g - 5. Let d(q) = 3*t(q) + z(q). Suppose -32*c = -35*c - 12. What is d(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -48  (b) -3  (c) -28\/19  (d) -4  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 - 0 - -8*34. Suppose -m + 96 = -5*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(18) + -1 + (sqrt(2) - (sqrt(2) + sqrt(4)\/sqrt(2) + 4)).\nAnswer: -5 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15593 is divided by 5162.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.154 + -4.154. Let j = 0.02 - 0.34. Let o = j + 0.37. Which is the nearest to o?  (a) -1  (b) q  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 2543, 2545, 2557, 2585, 2635, 2713?\n\"Answer: j**3 - j**2 - 2*j + 2545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7 + -15. Let d(o) = 2*o + 17. Let c be d(a). Solve -2*v + 3*r = 10 - c, -r = -4*v - 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wxxwwwxzzp. What is prob of sequence zx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -916, -3266, -7178, -12652, -19688, -28286, -38446?\nAnswer: -50168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 163, 378, 609, 856, 1119, 1398, 1693?\n\"Answer: 8*m**2 + 191*m - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 3 = -2*f, -2*o = -3*f - o - 11. Let d(q) = q - 20. Let v be d(f). Suppose -a - a - 46 = 0. Which is smaller: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the first derivative of 9*i**4\/4 + 7*i + 4. Differentiate j(z) with respect to z.\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**2\/11 - 800*m\/11 - 80000\/11.\nAnswer: -2*(m + 200)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -217427, -217883, -218645, -219713, -221087, -222767, -224753?\nAnswer: -227045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2.1 + -2.044. Let r = 2.844 + j. Let g = -3.1 - r. Sort g, 2, 0.5 in descending order.\nAnswer: 2, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j + 1. Let g(k) = 4*k + 15. Let b(l) = g(l) + 5*q(l). Calculate the remainder when b(0) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 582330691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 79 divide 13219239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*r + 171626 - 171714 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 144551053 (base 6) to base 14.\nAnswer: 58cb45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the second derivative of 2*o**3\/3 + 5*o**2\/2 + 11*o. Let k be p(6). Calculate the highest common factor of 116 and k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 32\/7 and (-388)\/(-40) + -4 + 0.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 25 + -23. Suppose c*j - x = 42, 30 = 2*j - 3*x + 5*x. Suppose -g = -4*h + 125, h - g = 6*h - 163. Solve d + j = 5*i, -d = 4*d - 4*i + h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 80 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -679 - -679.02. Let n be ((-2)\/(-3))\/((-4)\/240*4). Which is smaller: h or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -1\/5  (b) -0.1  (c) -4.6  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 143*u - 136*u. Let y be (-7)\/(-4) - 2\/(-8). Find the third derivative of -202*n**6 - u*n**2 - y*n**2 + 210*n**6 wrt n.\nAnswer: 960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*t + 14*t = 1050. Let p be 101\/20 - (-4)\/t - 5. Is 0.2 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1560?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1757*p = -1763*p - 42 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of c**4 + 2*c**3*r - 6*c**2*r + 27*c*r - 2*c - r wrt c.\nAnswer: 12*c**2 + 12*c*r - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from romri. What is prob of picking 1 i and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the third derivative of 103*k**4\/24 + 145*k**3\/6 + 19*k**2. What are the prime factors of d(6)?\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10931.4 months to decades.\nAnswer: 91.095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + 8 + (-11 - 12) + 3?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*k - 4*k + k to j + d*k and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-14)\/12)\/(10\/340). Let y = z + 40. What is the closest to -1 in y, 1\/4, 4\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -7*w**3 + 7*w**2 + 3*w + 139. Let o(j) = -19*j**3 + 20*j**2 + 8*j + 416. Let f(y) = 3*o(y) - 8*s(y). List the prime factors of f(0).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1175\/(-11) + (-18)\/99. Let k = 424 + u. Suppose -3*c + 99 = q, 5*c - k = -7*q + 4*q. List the prime factors of q.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -101708947253 - 2839.\nAnswer: -101708950092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1.1 and -2009.\nAnswer: -2007.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -625?  (a) -1  (b) 2098  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -19 - -41. Suppose 1 = -p + 2*b - 5, 0 = p + b - 6. What is the highest common divisor of u and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3681271930 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 = -4873319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*q - 1 - q - 6*q.\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:28 AM and 12:54 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x and 1 t when three letters picked without replacement from {f: 1, j: 1, y: 2, t: 7, x: 2, d: 2}.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 19\/2 and -71\/6029830?\nAnswer: 6029830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(4\/5))**(4\/15)\/((w*(w*w\/(w*w**(-16\/7)*w*w))\/w)\/(w**(5\/6)\/w)) assuming w is positive.\nAnswer: w**(-1021\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2538 - -2538. Solve 5*y = 5*w - 20, 5*w - 3*y - 1 - 17 = p for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of k**3*p + 67*k**3 - 6*k**2*p - 3*k**2 - k*p - 4*k - 1499*p + 3 wrt k.\nAnswer: 6*k*p + 402*k - 12*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-19 + 8*l + 19)*(-l**3 - 3*l**3 + l**3) to p + y*l**3 + d*l**4 + s*l + z*l**2 and give d.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23, -45, -69, -95?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/33*15\/(-10)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = v + 2691. Suppose -v = -5*i + c - 5*c, 3*i - 539 = -2*c. Let w = 263 - i. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-23)\/(-276))\/(2\/(-6)))\/((-13)\/(-8))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(750)\/sqrt(3))\/(sqrt(5) - (sqrt(5) - -6*1*sqrt(5))))**2 - (sqrt(2) + (sqrt(98) + 2 + sqrt(98) + sqrt(98))**2 - sqrt(160)\/sqrt(5)).\nAnswer: -15923\/18 - 81*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.27 and 1745191?\nAnswer: 471201.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*b**3 + 53*b - 667?\nAnswer: -6*b**2 + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2333923969?\nAnswer: 13, 13810201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 - 4 = 2*s. Suppose -5*f = -2*f - 21. Suppose -f*r = -s*r. Solve b = -r*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 15*z + 48. Let x be q(-3). Solve 3*f + x = -j, 0 = -2*j + f - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10767057 is divided by 471.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1 and -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5\/3  (b) -0.7  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 282464904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}