{"text":"Question: What is -1.48515637 rounded to 2 decimal places?\nAnswer: -1.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 34*t - 72*t + 2280. Calculate the remainder when 65 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3\/9862 - 167429\/739650. What is the common denominator of 40\/6 + 1\/1 and p?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u + 16. Let o be y(-12). Suppose 3*g - 2*b - 9 = 0, g = o*b + 11 + 2. Suppose 0 = -3*z + 2*z. Solve z = c + g - 6 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the second derivative of -2\/21*g**3 - 25*g - 1\/42*g**4 + 3\/7*g**2 + 0. Factor u(y).\nAnswer: -2*(y - 1)*(y + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -4594*d. Let k(h) = 3*h. What is k(b(g))?\nAnswer: -13782*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1\/(-2))\/((-2)\/8). Let i(d) = 3 - 3 - 2*d**2 + 5*d**l. Let n(w) = 5 + 2*w - 3 - 2. Give n(i(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -170 and -4224.56.\nAnswer: 718175.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o + 1 - 1)*(3*o**2 - 2*o**2 + o**2 + (o**2 + 2*o**2 - o**2)*(-2 + 1 + 3)).\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 20*n**2 - 195*n - 510. Let r(q) = 23*q**2 - 203*q - 510. Let u(h) = -6*k(h) + 5*r(h). Factor u(z).\nAnswer: -5*(z - 34)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*u + 3*u - 10 = 0. Let f be (-33)\/(-2) - u\/(-4). Solve f = -4*h - 0*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 29*p - 30*p + 395. What are the prime factors of p?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-35)\/(-21))\/(-5) + (-10)\/(-3). Is 41\/18 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -14.065?\nAnswer: -12.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7 + -10. What is the units digit of (h - -4)\/((-1)\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -143 - -100. Let u = g + 299\/7. Let y = -6 + 9. What is the third smallest value in y, 2\/3, u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 2*g**3 + 14*g**2 - 2*g - 7. Let b be i(-7). Let w(p) = 5*p**2 - 5 + 5*p + 9*p**2 - 3*p**3 + 4*p**3 - b*p**2. What is the units digit of w(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -38, -69, -90, -95, -78, -33, 46, 165?\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/(-14) - 3760\/(-70). Suppose 3*n = 54 + x. Suppose -2*a = 4*t - n, 2*t + 3 = -3*a + 49. What is the remainder when 41 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16 (base 11) to base 8\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3d2 - d3b?\nAnswer: -132d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -209 < -206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and -0.05797.\nAnswer: -0.23188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s + 2. Let i be g(-2). Suppose -2*v + 4 = 2*v, 2*h + 4*v - 432 = i. What is the common denominator of h\/(-20) - 0\/(-4) and -25\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 162 and 2612826.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1154 - 149 = -30*u - 15. Which is the closest to 0.1?  (a) -2\/3  (b) u  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 757507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, c: 1, b: 2, z: 2}. Give prob of picking 1 z and 2 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 + (2 - 0) + 24. Suppose 3*f + 9 = 3*d, -6*d = -3*d + 5*f - 25. Calculate the greatest common divisor of g and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 41481  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:45 PM and 11:49 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11110100000111 + 1001111101000?\nAnswer: 101000011101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f - 3 + 12. Suppose -2*g - f = -0*g - y, 21 = 2*g + 5*y. What is the hundreds digit of -1 - (1\/g + (-4615)\/26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 125219139?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3803054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 15668527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange x**2 - 3*x - 17*x - 9*x**4 - 20 + 7*x**4 - 10*x**3 + 20*x to the form d*x + h*x**3 + z*x**4 + s + j*x**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 948, 941, 934?\n\"Answer: -7*r + 955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -19*l - 15. Let n = -55 + 55. Let w(s) = 1 + 0 - 2 + n. Let z(q) = t(q) + 3*w(q). Differentiate z(i) wrt i.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 752, 1265, 1778, 2291, 2804, 3317?\n\"Answer: 513*y + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -53, -0.12, 3 in descending order.\nAnswer: 3, -0.12, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (3 + -2 - -7) + 1 + (49 - 54)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t + 3*t - 5*t)*(t**2 + 2*t**2 - t**2) + 10*t**2 - 2*t**3 - 10*t**2 + 0*t**3 + 0*t**3 - t**3 + (-4*t + 2*t + 0*t)*(0*t + 0*t - 2*t**2).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + -1*(sqrt(1053)*-1 + sqrt(1053) + sqrt(1053))*5)**2 + -5.\nAnswer: -270*sqrt(13) + 26329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12 and 146717424.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -81 - -a2?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the first derivative of -5*d**2\/2 - 90*d - 813. What is f(-19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(147)\/(sqrt(3) + sqrt(363) + sqrt(363)*2))\/(sqrt(84)\/(sqrt(1200)*-1)))**2.\nAnswer: 175\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5335\/(-20370) + (-12)\/(-28). Factor 4\/3 - 3\/2*r**3 + 3\/2*r - 7\/6*r**2 - u*r**4.\nAnswer: -(r - 1)*(r + 1)**2*(r + 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 101 + -21122121222?\nAnswer: -21122121121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -23, -19, -15, -11, -7?\n\"Answer: 4*j - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5252392*s**5 + 15041*s**2 + 10*s + 6 wrt s.\nAnswer: -315143520*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**3 - 5*k**2 - k + 6. Let j be v(5). Suppose o + 4*d - 4 = -0*o, 2*o = -4*d. What is the common denominator of 73\/4 and o\/(-32)*81\/j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 62\/93 + 76\/(-6). Put 4, h, -5 in ascending order.\nAnswer: h, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1950734623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2209 is divided by 40?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.2 - -0.6. Let z = -0.4 + i. Let w = 149\/4 - 37. What is the nearest to z in -3, w, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 5, a: 7, m: 2, t: 3}. What is prob of sequence af?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**3 + 14*x**2 + x - 8. Is d(-8) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:12 PM and 1:22 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -6*r - 5, 0 = 5*d - 3*r - 263. Solve 0 = 2*h + d - 52 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 6\/(-11 + 5)*17\/(-203) and -73\/8.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 18 + -25 - (-1)\/(-1). Let o(k) = -6*k + 10*k - k**2 + 1 - 1. Let n(c) = -2*c**2 + 11*c. Determine i*o(q) + 3*n(q).\nAnswer: 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 14 - 41. Let v = 30 + u. Suppose -v*p + 275 = -2*l, 116 = -5*p + 2*l + 569. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.02 + 0.48. Let v be (-10)\/4*12\/(-15). Suppose -x = x + v. Sort o, -5, x in ascending order.\nAnswer: -5, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 + 6.5. Let y = i + 0.5. Which is the closest to y?  (a) -0.5  (b) 0.5  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 169 = 2*s + 43. What is the remainder when s is divided by 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31134162437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - -12 - -5 - (3 - 4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 486*i + 29161. Let l be o(-60). Let v(d) = d**3 + 4*d**2 - 7*d - 6. Let h be v(-5). Solve -k - k + l = -3*r, -h*r + 5*k = -1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5, -22, -43, -68, -97?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-53)\/3 + (2 - 4)\/6. Let w be 4\/h + (-3 - 166\/(-18)). What is the smallest common multiple of 2 and (-8)\/(60\/(-35) - w\/21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**3 + 10*b**2 + 10*b + 13. Let q be x(-9). Let p(j) = 5*j**3 - j**2 - 17. Does 41 divide p(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -9*h**2. Let d = 206 + -173. Let v(x) = -31*x**2 - d*x**2 + 45*x**2. Calculate 5*q(n) - 2*v(n).\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 - -10. Let r = j - 10. Solve r*v = -0*v - 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67 = -5*t - 4*u, 0*t = 3*t + 2*u - 41. Solve t = -5*s, -5*n + n + 8 = -4*s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14534 is divided by 171?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -51908*s**3 + 15897*s.\nAnswer: -311448*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.554636 rounded to 3 dps?\nAnswer: -2.555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/683962 and 53\/323982?\nAnswer: 6155658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99 = 7*i + 106 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 219637658?\nAnswer: 2, 67, 1639087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5\/94?  (a) -2\/7  (b) 16.4  (c) 2\/3  (d) -2  (e) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 467 a factor of 2077406536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**3 + 6*z. Let k(p) = -3*p**3 - 19*p - 1. Suppose t = -4*t + 4*q - 43, 2*q - 39 = 5*t. Give t*x(h) - 2*k(h).\nAnswer: -h**3 - 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -14483948*k**6 - 26722855*k**2?\nAnswer: -1738073760*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m - m - 1 = 0, 5*h + 2*m - 23 = 0. Let v = -6 + 2. Which is the smallest value?  (a) v  (b) h  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from glgplgpl. What is prob of picking 1 l and 1 p?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 126251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, y: 2, u: 8, x: 5}. Give prob of picking 1 u and 1 d.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -15*x**3 + 6*x**2 - 68*x. Let c(p) = 7*p**3 - 2*p**2 + 33*p. Let y(z) = -13*c(z) - 6*i(z). Let y(t) = 0. What is t?\nAnswer: -7, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2 - 39438915.\nAnswer: -39438914.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = 3*y - 0*y - 12, -n + y = 0. Suppose -13*v = -15*v - n. Let h be 4000001 + v + 0\/(-1). What is h rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -16*g**2 + 5*g - 18. Let r(i) = 67*i**2 - 21*i + 71. Give 9*a(t) + 2*r(t).\nAnswer: -10*t**2 + 3*t - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:34 PM and 4:43 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*u - 164 = 501. Let b be ((-324)\/42)\/((-5)\/u). What is the highest common factor of 90 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 y when two letters picked without replacement from {z: 3, x: 3, a: 2, y: 9, u: 2}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.036 - -4.036. Let h be ((-1)\/4)\/(1 - 2). Which is the smallest value?  (a) 4  (b) f  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 85103 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*u - 4917 = 1815. Calculate the remainder when u is divided by 96.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 5*k - 3*k. Let c = k - 4. Let l be (-14)\/(-6) + 2\/(-6). Solve c = 3*m + l*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -53*o**2 - 26*o**2 - 10*o**2 + 2 + 3. Let s be y(-3). List the prime factors of (-12)\/66 - s\/22.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -5*z**2 - 11*z - 29. Let r be u(-9). What is the remainder when 79 is divided by -1 - r\/8 - 85\/(-680)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4066041 + -4066041.08699818. Let s = 0.087 + c. What is s rounded to 7 decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*v**2 + 4788006*v + 1910416788003.\nAnswer: 3*(v + 798001)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 677*c - 676*c - 550. Calculate the greatest common factor of c and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-7\/3)\/k*k*k*k**(5\/2) assuming k is positive.\nAnswer: k**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -783 + 592. Let l = -71 - o. Does 20 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - t**2)*(-3*t**3 + 8*t**3 + 12*t**3) - t**4 + t**4 - 2*t**5 - 159*t**5 - 2*t**5 + 32*t**5.\nAnswer: -148*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**2 + 3*c + 9. Let p(n) be the first derivative of n**3 + 5*n**2 + 27*n - 35. Let j(t) = 3*p(t) - 8*x(t). Suppose j(g) = 0. What is g?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-1 + sqrt(11) + 1) - (5*sqrt(528))\/sqrt(3).\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9840465 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 2*y = 20, 3*y = 2*d + 8 - 22. Suppose 11*m = 13*m - d*w - 94, 5*m - 3*w = 235. Are m and 45 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -389?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (23 - 4)\/(((-15)\/1497)\/5). Let s = -5288 - y. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1974953.37 rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 65*i - 67*i + 2202. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 minutes after 1:31 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.21, 191, 1\/2?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 3429, 3274, 3109, 2928, 2725, 2494?\n\"Answer: -r**3 + r**2 - 151*r + 3580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 24250, 48502, 72754, 97006, 121258?\n\"Answer: 24252*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -11519456, -11519455, -11519454, -11519453, -11519452?\n\"Answer: b - 11519457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 + -1. Let s(w) = v + 14 + w - 5. Let g be s(-7). Solve -g*q = -0*q + 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 867, 7388, 25201, 59946, 117263?\n\"Answer: 940*y**3 + 6*y**2 - 77*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1056847 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 42 - 43. Let x(t) = -2*t. Let r(f) = -14*f + 1. Let w(i) = k*r(i) + 2*x(i). Let q(g) = 2*g**2. What is q(w(l))?\nAnswer: 200*l**2 - 40*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 14\/35*(-15)\/9*-15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -38132 (base 15) to base 16.\nAnswer: -2bbcb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 332 + 2*j + 0*j - 1761 - 6056.\nAnswer: 2*j - 7485","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the first derivative of 2*u**3\/3 + 3*u**2 + 1795. Let c(p) = -3*p**2 - 9*p. Give -5*c(q) - 8*f(q).\nAnswer: -q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -m - 14, 5*m + 2*n + 1 - 41 = 0. What is the tens digit of (26\/m)\/((-3)\/(-54))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 174494, 348988, 523482, 697976, 872470?\nAnswer: 1046964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -5*f + 678. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1020 and 2830800?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -3*t**4\/8 + 2127*t**3\/4 - 1485891*t**2\/8 + 22397229*t - 703947024 = 0.\nAnswer: 48, 201, 968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 + 17. Let c be (-1)\/(4\/w*2). Let j be 1\/c + (-63)\/(-6). Solve -2*d + 18 = 4*l, 4*l - 5 = -5*d + j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -5, -620, 49, 6, -1, 5 in decreasing order.\nAnswer: 49, 6, 5, 0, -1, -5, -620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**3 - 3*k**2 + 9*k - 8. Let y be (30\/18)\/(5\/(-15)). Let a be i(y). Put a, -71, -4 in descending order.\nAnswer: a, -4, -71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -2*u**2 - 40*u + 192 = 0.\nAnswer: -24, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 3*r - 2. Let j(y) = -y**2 + 666*y - 6. Determine 3*i(k) - j(k).\nAnswer: k**2 - 657*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*v - 2*v + 2*v)*(-3*v + v + 4*v) + 0 - 2*v**2 + 0 + (-6 + 13 + 3)*(9 + 5*v**2 - 9).\nAnswer: 44*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -3200215 (base 6) to base 2\nAnswer: -100101111111010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = -5*d - 5994*j + 5990*j, -5*j - 3 = -2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 not equal to 1702031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1026965 or 1026935?\nAnswer: 1026965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1065022 is divided by 355002.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -143  (b) 1  (c) -4  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 2*v**3 + v**2 - 2*v + 1. Let m be (-130)\/15 + (-2)\/6. Let r be -3 - -1 - m\/3. Calculate k(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -3*a**2 - 36*a + 89. Let n(m) = m**2 + 12*m - 30. Let j(c) = -3*l(c) - 8*n(c). What is the least common multiple of j(-15) and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**3 + 64*i**2 + 129*i + 223. Suppose -5 = -w + 2*o, 4*o = 3*w - 9 - 6. What is the lowest common multiple of d(66) and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -155975, -156020, -156063, -156104, -156143, -156180?\n\"Answer: s**2 - 48*s - 155928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -62.94 - -52.84. Is d greater than 8\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -12628556, -12628554, -12628550, -12628544, -12628536, -12628526, -12628514?\n\"Answer: y**2 - y - 12628556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, -2, -4, 96 in increasing order.\nAnswer: -4, -2, 7, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w - 5*r = -4*w + 31, r + 3 = 0. Suppose -2*q + a = -a + 10, 0 = -2*q - w*a - 10. Let v = -7 - q. Sort -5, v, -13 in decreasing order.\nAnswer: v, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2030, -137, 0, -1, 5, 1, 2 in increasing order.\nAnswer: -137, -1, 0, 1, 2, 5, 2030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x\/(x*x\/(x*x\/x**(-11))))*x*x*x**(-12))\/(x*x**(2\/15)*x)**(1\/5) assuming x is positive.\nAnswer: x**(-1607\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {k: 1, o: 4, u: 6}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 29 - 30.3. Let z = h - 0.7. Let n(g) = 60*g + 1315. Let t be n(-22). Which is the closest to 0.1?  (a) -1  (b) z  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -25.32 in -5, 0.5, 0.1, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8 - -18. Suppose -2*y + l + 10 = 0. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/(-16)*(5 + -4). Let x = -0.57 - -0.17. Sort -1, b, x.\nAnswer: -1, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**2 - 71*r - 858. Give l(82).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*((y\/(y**(-7)*y))\/y)\/y*y)\/y*y)\/y**(-1\/17)*y*y**(-7)*y**8*((y**(-9)\/y*y)\/((y\/y**(1\/4)*y*y)\/y))\/(y\/y**(-2\/3)*y\/(y**2*y)) assuming y is positive.\nAnswer: y**(-277\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*b**3\/9 + 9058*b**2\/9 - 8876*b\/9 - 90560 = 0. What is b?\nAnswer: -9, 10, 4528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -859, 4, 0.4, 8 in ascending order.\nAnswer: -859, 0.4, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 20960263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, 158\/7, -4, 0.4, -1, -13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-3\/5))**(-3\/8)\/(l*l\/l**(7\/5))**49 assuming l is positive.\nAnswer: l**(-1167\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the second derivative of c**7\/70 + c**6\/20 - c**5\/20 - c**4\/4 + 11*c**2\/2 - 18*c. Let v(o) be the first derivative of f(o). Factor v(p).\nAnswer: 3*p*(p - 1)*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**3)**23*(p*((p*(p\/(p\/p**0))\/p)\/p)\/p*p)**(3\/17))**(1\/11) assuming p is positive.\nAnswer: p**(69\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -49 and 1.7?\nAnswer: -83.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 78978755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, j: 8, u: 2, q: 1}. What is prob of picking 1 u and 2 j?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15632, -31267, -46902, -62537, -78172?\nAnswer: -93807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*o + 28*o = -4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (20\/(-18))\/5 - (-34)\/153. Factor 0 + 9*c**4 + 2\/3*c**2 + l*c - 5*c**3.\nAnswer: c**2*(3*c - 1)*(9*c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.3 - -2.7. Let c = l + -3. Let f = c + -0.1. What is f rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3572)\/(-912))\/(4\/(-48)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -169920*i + 339855*i - 169932*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 4, j: 1, r: 1, h: 5}. Give prob of sequence jhhr.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -80 (base 9) to base 5.\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) + 3*(-1 + sqrt(5)) + -3 - (-1*sqrt(6655))\/sqrt(11)) + -6*(0 + (sqrt(40)\/sqrt(8))**2 - (3*sqrt(55))\/sqrt(11)).\nAnswer: -36 + 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 806, 1614, 2422, 3230, 4038?\n\"Answer: 808*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 = -6*s + 14*s. Let o be (-6)\/s + (-21)\/(-15). Suppose -o = -w + c + 1, -4*c = -3*w + 10. Solve -w*j - 2 + 4 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (12\/10)\/(24\/80) + -2. Let t(c) = 43*c**3 - 5*c - 50. Let y(r) = 22*r**3 - 2*r - 25. Let v(a) = j*t(a) - 5*y(a). What is the derivative of v(s) wrt s?\nAnswer: -72*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 77 = -357. Let g be (-680)\/r - (24\/14 + -2). What is the common denominator of ((-202)\/g)\/(((-48)\/15)\/4) and -97\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -524 and -1.\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000088799 rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.38 + -0.48. What is the closest to 2\/7 in r, -5, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2152404734?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1 and 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 18230 and 2492041.\nAnswer: 1823","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 4*d + 6)*(-816 - 1600 - 2224 - 226).\nAnswer: -19464*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/6 of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -33, -54, -53, -24, 39, 142, 291, 492?\nAnswer: 751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and -0.06021011.\nAnswer: 0.12042022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*r - 20, 0 = -5*z + 2*r - 85 + 50 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-365)\/(-30) - (-2)\/(-12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55598042077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*w**2 + w**2 - 1 + 11 as l*w**2 + c*w + s and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 7734459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -116 - -115.5. Which is the nearest to -3\/7?  (a) d  (b) 2\/13  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 211\/170940 and 17\/24.\nAnswer: 341880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-30)\/((3\/(-12))\/((-9)\/(-6))). What is the highest common factor of 135 and z?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 32\/3 + 6\/18. Let u(y) = -y**2 + 10*y + 27. What is the tens digit of u(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 319968 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o + 2*o - 2*o)*(-2*o**4 + 0*o**4 + 3*o**4) - 278*o**2 + 278*o**2 - 2815*o**5.\nAnswer: -2817*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 8198748 = 8198707?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1830 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -462 + 277.5. Let x = v + 185. Let u = -7\/12 + 3\/4. Put -2\/3, -4, x, u in ascending order.\nAnswer: -4, -2\/3, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 26 + (-49445)\/667 - -48\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 3 - 4)*(4*s - 2*s + 0*s).\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**2 - 71*p + 1105. Determine v(14).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9 + 8.95. Let d = 0.223 - 0.023. Which is smaller: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 1)*(-3 - 1 + 5)*(-7*p - 4*p + 3*p).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (15\/(-2))\/((-3)\/4). What is the remainder when (-10)\/(-25) + 466\/u is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.933030075554 minus 0.2?\nAnswer: 3.733030075554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 + -29a?\nAnswer: -2a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.61 minus -59261337?\nAnswer: 59261338.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the first derivative of 52*r**5\/5 - 271*r**3 - 712. Find the third derivative of n(k) wrt k.\nAnswer: 1248*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**2 - 47*c - 544. Determine y(-13).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*u + 2*u - 6. Suppose 5*z = 25, -u*j + z + 3 = -j. Solve 0 = j*f - 0*f - 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/117 and 191\/390?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.19, -2\/5, -3, 2\/17, 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2104347 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the second derivative of 300763*f**5\/50 - 13467*f**4\/10 + 603*f**3\/5 - 27*f**2\/5 + 757*f. What is x in a(x) = 0?\nAnswer: 3\/67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11 - 10. Let t be (-28)\/(-6)*6\/7. Solve -k + 0 - 2 = m, z = -t*k + 3*m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1362 and 8676.\nAnswer: 1969452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.1, 9, -7\/3, -2, 3, -1, -86?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -46*q + 24*q**3 - 21*q**2 - 453*q**4 + 1041*q**4 - 589*q**4.\nAnswer: -q*(q - 23)*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6486, -7839, -9192?\nAnswer: -10545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 41\/(9184\/96)*-21?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**3 + l**2 - l - 9. Let w be h(-7). Let b = 573 - w. Solve -3*c - 3*c**5 + 6*c**3 - b*c**2 + 183*c**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*u = 4*s - 5*u + 27, -2*s + 3*u = -3. Let v(p) = 40*p**2 + p + 6. Let t be v(6). Let k be t\/(-492) - s\/1. Is k > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -311?  (a) -2  (b) 1  (c) -156809\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13484*v = -16591*v + 413231 for v.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r + 2*l - 66, -r - 7*l + 24 = -4*l. Let f be (-70)\/(-4)*(27\/r - 1). Calculate the highest common divisor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73350 is divided by 931?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w - 2*w = -4. Suppose 26 = w*y - 6. Let x = 2 + 0. Solve -2*n = x*n - y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from kbqk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2 - 6*w + 5. Let x(f) = -3*f**2 + 17*f - 6. Let z be x(5). Suppose 8 = -2*i - z. Calculate n(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1110110110110 + 10110?\nAnswer: 1110111001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (27\/594)\/((-5)\/80)?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 6581, -16, 2 in decreasing order.\nAnswer: 6581, 2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkdkf. What is prob of picking 1 k and 1 f?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(343)\/(sqrt(7) - sqrt(175)))\/(-2*sqrt(1008) - sqrt(1008)).\nAnswer: -sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -11*f**2 + 3*f + 281. Let s(v) = 29*v**2 - 8*v - 843. Give 8*m(y) + 3*s(y).\nAnswer: -y**2 - 281","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -161 + 176. What is the nearest to 3\/7 in i, -6, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 163*f**3 - 1 - 4 + 5 - 166*f**2 wrt f.\nAnswer: 978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + j = 70, 0*j + 50 = 3*n + 5*j. What is the remainder when n is divided by 1\/4 + (-35)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.004579 and 0.55?\nAnswer: 0.545421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2242 and 646?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8722 + 252941\/29. Which is the closest to -0.2?  (a) x  (b) -9\/4  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2409 or 4?\nAnswer: 2409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**2 - 16*i - 41. What is c(16)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*s = -6*s - 134. Let u be (-274)\/(-4) - -12*(-12)\/96. Do s and u have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k - 5*q = -17, 38857*k - 3*q = 38848*k - 96 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3041453437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that 30*k**2 + 21\/2*k - 9\/2 = 0.\nAnswer: -3\/5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = 2*j - 12. Suppose 4*u - j = 2. Suppose -u*z + 14 = -8. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.29 take away 220?\nAnswer: -219.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -29, -111, -4, -5, -67 in decreasing order.\nAnswer: -4, -5, -29, -67, -111","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1234 or -6174\/5?\nAnswer: -6174\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 30.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2 - 799\/(-452) - 7\/(-28). Let f = -785\/339 - l. What is the nearest to -0.4 in 3\/5, 0.5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + k - 2655 = 0, -4*j - 2124 = 4*k - 5*k. Let p = j + 1176. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {s: 8, l: 4, g: 1, q: 2, p: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 + 34733?\nAnswer: 34736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-1\/3))**29*(d\/d**16)\/(d\/d**(-3\/4)))**(1\/10) assuming d is positive.\nAnswer: d**(-317\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**8*y)\/y**(-2\/9)*y**(4\/3)\/y**6*((y*y*y**(2\/39))\/y**(-9))**31 assuming y is positive.\nAnswer: y**(40616\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 2 s when three letters picked without replacement from skksskshsasaaaksha.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -10042 (base 6) in base 9?\nAnswer: -1728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.6 - -4.4. Let y = -32 + 28. Let n = p + y. Which is the third biggest value?  (a) 0  (b) n  (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**2 + 10*j + 96. Let n be c(16). Suppose n = -4*u + 5*k - 34 + 201, -3*k + 207 = 4*u. Solve -54 + u = -2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 42 = 6. What is the remainder when 16 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -5*r + 12. Let u be h(3). Are u and -19\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*w + 74*w + 4*w - 728 = 29*w for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 408\/28 + 10*(-18)\/(-420). Let h = -7 - -21. Let w be h - 2\/(-2)*1. Calculate the highest common divisor of w and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2555057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 240 and (14*24\/(-28))\/(6\/(-4))?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -792 and -797 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -188821, -377653, -566485, -755317, -944149, -1132981?\nAnswer: -1321813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 6\/7 + (5176\/168 - 31)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 29 + -28.9. Let g = 7 + -4. Which is the biggest value?  (a) z  (b) g  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 - 4*c - 2. Let h(f) = f**2 + 6*f + 6. Let z be h(-6). List the prime factors of g(z).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b - 3. Let y = -65 + 105. Let v = -43 + y. What is i(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 34 + -3144?\nAnswer: -3110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -47 - -86. What are the prime factors of f?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**3 - 4*c**2 - c + 2. Let h be o(4). Let x = 4 - h. Suppose -x*l = -4*l. Solve -n = -3*n - 5*k + 3, l = 3*n - 4*k + 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-22)*(-234)\/(-13))\/(820\/(-1804))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 52 + -36. Suppose -q*v + 20*v - 12 = 0. Solve -3*g + 7 = 3*z - 5*g, -v*g - 6 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 288990*x + 288987. Give w(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -n - 2*n + 3, 0 = -5*v - 3*n - 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 660 a factor of 6536640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 29*d**2 + 35*d + 67. What is the tens digit of m(25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 470588963?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 23 + 590*c**2 - 8 - 9 + 289*c**2 - 5 to o + d*c**2 + s*c and give d.\nAnswer: 879","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/32)\/((-111231)\/(-17448))?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -119 + 119. Suppose -4*i + 2*n + j*n = -82, -62 = -3*i + 2*n. Let t(q) = q**3 - 7*q**2 + 8*q - 1. What is the remainder when i is divided by t(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 240 (base 7) to base 3.\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10010 and 2002?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*u + 34*u - 20 = 0. Solve -v + u = -0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14856579 to the power of 1\/2, to the nearest integer?\nAnswer: 3854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 + (30 - (28 - -5))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1 and 992?\nAnswer: 99.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -133.1, -2\/17, -18, -0.1.\nAnswer: -133.1, -18, -0.4, -2\/17, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 51719*m. Let y(i) = 5*i**2. Determine g(y(j)).\nAnswer: 258595*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.332 - 0.068. What is the fourth biggest value in -0.024, 4\/5, -4, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 619, 1227, 1799, 2317, 2763, 3119, 3367?\n\"Answer: -3*i**3 + 629*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11321888?\nAnswer: 2, 23, 15383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -5*c**3 - 25810*c**2 - 1455205*c - 1429400 = 0.\nAnswer: -5105, -56, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**2 + 1. Let o be r(-1). Suppose 2*v + 8 = k, -o*k - 3*k = -4*v - 16. Suppose k*t + 106 = 4*t + 3*n, 0 = -5*n + 10. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f - 2*f**2 + 0*f)*(-5*f + 6 - 6 + (1 - 1 - 2*f)*(1 - 2 - 1) - 2*f - 109 - 4*f + 5*f).\nAnswer: 4*f**3 + 218*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*y + 3*y + y)*(-1 - 3 + 3) + (5*y - y - 3*y)*(0 - 4 - 2).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z - 4*o - 2 - 4, -6 = -2*o. Suppose 3*u - u - z = 0. Suppose 2*t = u - 1. Put -0.2, -3, t in decreasing order.\nAnswer: t, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 13\/5 of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.181 * -0.1.\nAnswer: -0.0181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 7578210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(80)*6 - (-4 + -1 + sqrt(125))**2 - (-4 + (1 + sqrt(125))*2*-6)**2.\nAnswer: -18406 - 1798*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) 7  (b) -1  (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -3538 (base 11) to base 5\nAnswer: -122024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 70569?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 641 minutes after 2:43 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the second derivative of -11\/12*o**4 - 17*o + 0*o**3 + 0 + o**2. What is the first derivative of j(f) wrt f?\nAnswer: -22*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 308 - 168. Calculate the remainder when j is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (-1 + sqrt(3))*-2)*4 + 1 + (1 + sqrt(192) + -2)**2*1 + -4.\nAnswer: -24*sqrt(3) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.76711002 to 2 dps.\nAnswer: 1.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + 4 + (6 - 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes after 9:05 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 - 2*s**2 + 3*s**2 + (2*s**2 + 3*s**2 - 3*s**2)*(2 + 3 + 0))*(0*s - 12 + 2*s + 5).\nAnswer: 22*s**3 - 77*s**2 - 6*s + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -13*w - 42*w - 385 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 0 = -1. Let d = 688\/5 + -138. Which is smaller: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -503*t + 7115. Calculate z(4).\nAnswer: 5103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70 + 43 = 5*d + 3*w, 0 = -2*d + 3*w + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 133\/6 and 5\/234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 4, 1, 0.6, -5, -440 in descending order.\nAnswer: 4, 1, 0.6, -0.1, -5, -440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b**2 - b. Let g be s(0). Solve 8 = 2*c - g*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**3 - m. Let u be o(-1). Suppose -x + 8 = 4*a - a, 4*x - 18 = -5*a. Suppose x*j = -2*j + 4. Which is smaller: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 + x**3)*(15*x + 24*x + 2*x) as l*x**3 + w*x + k + g*x**4 + o*x**2 and give g.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 548495595.\nAnswer: 3, 5, 12188791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 2*a**3 + 6*a**2 - 6*a - 6. Let l(h) = -h**3 - h**2 + h + 1. Calculate 2*f(j) + 12*l(j).\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1347 + -776. What are the prime factors of a?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-15)\/15*7*(-1)\/1*-7)\/1\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1298 is divided by 442.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 0 - 3)*(14 - 14 + 57*s) + 0*s - 2*s + 3*s)*(5*s - 8*s - 6*s).\nAnswer: 1017*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -245 + 653?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3466 * -0.1.\nAnswer: 346.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 288\/5 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-36)\/45*((-10875)\/6)\/29.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**2 - 9*j - 4. Give u(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6*(-4 + 68\/16).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**2 - 23*n + 2. Let t be z(-23). Suppose s + t*r = 16 - 4, s - 21 = -5*r. What is the lowest common multiple of 24 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1070894472 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/((((r\/r**(2\/29))\/r)\/r)\/r*r))\/r)\/r**(12\/13) assuming r is positive.\nAnswer: r**(55\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/(0 - 6\/22). Does f = 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 81216011 * 0.5.\nAnswer: 40608005.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (123\/15 - 6)*(-5 + 0).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1577901?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 0.484638 centuries?\nAnswer: 4.84638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 137156421 minus -650.9?\nAnswer: 137157071.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**2 - 8*l - 6.\nAnswer: -2*(l + 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.3, 121, 194, 0.14?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -421, -5, 11395 in increasing order.\nAnswer: -421, -5, 11395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7373 - 7334. Calculate the remainder when 14895 is divided by d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-13))**(2\/3)\/(a**(-5\/8)*a**19) assuming a is positive.\nAnswer: a**(-649\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**2 + 9*u - 15. Let i be l(-11). Suppose -12*g + 1115 = -i*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000215 rounded to seven decimal places?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*y - 2*y + 5*y + (2 - 1 - 2)*(-2*y - 2*y + 3*y) + 3*y - 3*y + 9 + 2*y.\nAnswer: 8*y + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 63133 (base 7) to base 2\nAnswer: 11110010010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(-2)*(-1 - 1). Is x at most as big as 1\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d**2 - 5 + 5 + 0*d**2 - 3*d**2 + 5*d**2 + (-d - 2*d + d)*(4*d - 5*d - 2*d) + 10*d**2 - 7*d**2 + 6*d**2)*(3*d + 2*d - 3*d) + 5*d**3 - 5*d**3 - 2*d**3.\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -881.2 - -798. Round g to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-20 + 25)*2\/(-5). Let z be ((-18)\/8)\/(-3)*16. Sort x, z, 1.\nAnswer: x, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-2*sqrt(21)*-1)\/(-3*sqrt(27) + sqrt(75) + sqrt(75)*-1 + sqrt(75)).\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -644 - -643. Sort c, -0.2, -0.5, 23 in decreasing order.\nAnswer: 23, -0.2, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*b**2 + 0*b**2 - b**2 - b**2 + 3*b**2 + 0*b**2 + (-2*b + 2*b - 2*b)*(b - b - b) - 4*b + 79*b**2 - 157*b**2 + 81*b**2.\nAnswer: 6*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1*2\/8*24)\/(39\/26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27\/30*16 + -55 + 41.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/((h\/h**(2\/7))\/h))\/h**5)**(10\/7) assuming h is positive.\nAnswer: h**(-260\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -701764026.905078+3\nAnswer: -701764023.905078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -40 - -40. Let k(m) be the first derivative of -2*m + x*m**4 + 4\/3*m**3 - 2\/5*m**5 + 0*m**2 + 1. Determine s, given that k(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -81616639 + 21*v**4 - 5*v**2 + 2*v + 18*v**4 - v**3 + 81616637 as f*v + y + z*v**3 + h*v**2 + n*v**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the first derivative of p**6\/60 + p**5\/15 + 3*p**2\/2 - 2. Let y(l) be the second derivative of j(l). Factor y(w).\nAnswer: 2*w**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -353 divided by -1?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 390 + t + 42*t**2 - 825 + 433 + (-2*t - t + t)*(-1 + 1 + 3*t) as m + p*t**2 + l*t and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -672, -668, -662, -654?\n\"Answer: a**2 + a - 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2293124.979 rounded to the nearest 100?\nAnswer: -2293100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**3\/2 - 59*h**2\/2 + 92*h - 62.\nAnswer: -(h - 2)*(h - 1)*(h + 62)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 511 (base 7) to base 10.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/4  (b) 7\/19  (c) -17.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, g: 7}. What is prob of picking 2 a?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/64 and -12 + 898\/(-960) - -13.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9631 take away -0.031001?\nAnswer: -9630.968999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 0 + 15 = 0. Suppose -l*q = 4*u + q - 32, -3*q = 0. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from noonoboononnnnonbon.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/65105 and 1\/8265.\nAnswer: 3710985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhh. Give prob of sequence hhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 164694?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 299 and 15893.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 1.64  (b) -0.2  (c) -37  (d) -4\/7  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxrwwwrxrwlwlwxrlll. What is prob of picking 2 l?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1747.5669us to hours.\nAnswer: 0.00000048543525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h + 3. Let c be y(3). Let g(f) = -f + 4. Let z be g(c). Suppose -v - 33 = -z*v. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -225.6 - -226. Which is the closest to 21?  (a) 1\/5  (b) -3  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**3 - 407*f**2 + 1369*f - 63448. What is q(404)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5302, 10622, 15942, 21262, 26582, 31902?\nAnswer: 37222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*r**3*u**3 - 57552*r**3*u**2 - r**2 + 39779*r*u**2 + 2*u**3 wrt r.\nAnswer: -18*r*u**3 - 345312*r*u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -2*z. Let i = 215 + -200. Let x(l) = 4*l + 11*l + 7*l**2 - i*l. Give x(v(r)).\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*h**2 - 1888*h - 9540.\nAnswer: 4*(h - 477)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16 and 708.\nAnswer: 2832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is z in -3*z**5\/4 + 357*z**4\/4 - 345*z**3\/2 - 357*z**2 + 702*z = 0?\nAnswer: -2, 0, 2, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.149*0.4.\nAnswer: 0.0596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -3777 (base 14) in base 8?\nAnswer: -22755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5*(-1 - -4)\/(875\/25)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 + ((-10 - -56) + 24 - -31).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 148939 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 826 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 1613022\nAnswer: -1\/537674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 13 + 17 = 5*a, j = -5. Let h be (0 + a)\/(2\/3). Suppose 21 = 4*t + 5*w - 47, 16 = h*t - 5*w. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 155*f - 1099 - 141 = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1, 4\/31, -4, -1, -3\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 533331035.\nAnswer: 5, 2039, 52313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 27771452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -6462, -12927, -19396, -25869, -32346?\n\"Answer: -2*d**2 - 6459*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 4*l = -21, -l = -0*p - 5*p. Let v = p - -1. Suppose 2*y = 2*n - 4, 3*n = v*n - 4*y + 12. What is the remainder when 7 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**2 - g - 1. Let u(p) = 9*p**2 - 33*p + 45. Let n(r) = 2*u(r) + 14*v(r). Factor n(j).\nAnswer: 4*(j - 19)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 g when two letters picked without replacement from ugguggug?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -360*a + 364*a + 5*i = 8, 3*a = i + 25 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w + 65. Let v be r(-24). Find the second derivative of -z**4 - 23*z - 31*z + 6*z**3 + v + 53*z wrt z.\nAnswer: -12*z**2 + 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -90 + 93. Sort 0, h, 1, -4 in descending order.\nAnswer: h, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-17)\/(-4))\/(3 + 908\/(-304)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16 and 46.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve f + 134 = 149, -39 = -3*g - 3*f for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1*372374\nAnswer: -372374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (3 + (-13)\/((-117)\/(-36)))\/(6\/(-246))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**3\/r*r**0)**(-28) assuming r is positive.\nAnswer: r**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*(((b*b**2)\/b)\/b)\/b*b)\/b)**(8\/11)*b**9\/b**(2\/9) assuming b is positive.\nAnswer: b**(941\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 383394 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 minus -307?\nAnswer: 306.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-30)\/(-50) + (-2523)\/5. Let p = -206 - n. Is p 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 hghdhfghghgggdhdyf. What is prob of sequence dff?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 26.553733313 to the nearest integer.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**3 - 7*r**2 + 7*r + 4. Let u(n) = 20*n + 2 + 2*n**2 - 3*n**3 + 0*n**2 + 9 - 22*n**2. Let q(o) = -4*u(o) + 11*v(o). Determine q(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/18774 and -35\/38442.\nAnswer: 807282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 4, 0.5, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -5 + 3 + 6\/3. Solve 2*o + 8 + j = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 426 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 25606 and 4578?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2 + 1 - (-133 - 5). Suppose -f = -2*d + 158, -f - d - z = 5. Let y = -79 - f. 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 the value of (-40 - -40)*4\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3097 and 4446285.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 635966?\nAnswer: 2, 317983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -71\/3 - -23. Let r = 0.4034 + 0.0966. Which is the second smallest value?  (a) r  (b) -0.5  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - (4 + -6)) + (52 - 58)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 - -1. Let l(s) = -7*s**2 - 3*s - 8. Let p(f) = 3*f**2 + 2*f + 4. Let a(k) = -2*l(k) - 5*p(k). Let q(y) = 2*y**2 + 7*y + 7. Determine w*q(x) + 7*a(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 58 and 439764468.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 4332458 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1707530046?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4665613519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 120*g*n**2 - 540*g*n - 47*g - 3123*n**3 - 14*n wrt n.\nAnswer: 240*g - 18738*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 60290*t - 60170*t + 13200 for t.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**2 + 34*g - 182. Suppose -5*t + 24 = 2*k, k - 112 = -4*t - 97. Determine q(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -41.51701 to the nearest integer.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1\/750 - 119\/4500. Which is the third biggest value?  (a) 11  (b) x  (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 4, s: 2, b: 3, f: 3, p: 1, h: 4}. Give prob of sequence bf.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 21 = q + 2*q, -q = p - 5. Suppose f = p*k - 1, 5*f = k + 17 + 6. Suppose 4 = -f*r + 39. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1260627 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(2\/55)\/(r\/(r**22*r)*r) assuming r is positive.\nAnswer: r**(1157\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the first derivative of -p**6\/2 + 12*p**5 - 84*p**4 - 64*p**3 + 3072*p**2 - 12288*p - 4884. Determine i so that d(i) = 0.\nAnswer: -4, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3962 - 4266.7. Let g = m - -305. Which is the nearest to -0.1?  (a) g  (b) -22\/13  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -29\/3 - -10. Let w be 10\/12*(-45)\/(-25). Let p = 0.02 - -0.98. Which is the nearest to f?  (a) -0.5  (b) p  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*g**5 + g**5 - 3*g**5 + (-4*g**3 + 2*g**3 + 0*g**3)*(g**2 - 2 + 2).\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -2\/11  (b) 15  (c) 4  (d) 0.019\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 != 833\/10099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1535 - 1509. Solve 0 = 4*n + p - 46 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmvm when four letters picked without replacement from {v: 1, c: 2, m: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/((1950\/(-91))\/25)*(-2)\/553?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 115 and 149136025.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((-108)\/(-660))\/((-108)\/(-180))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -279495 * 1093.\nAnswer: -305488035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 2*f + 4*f - 26 = 0, o = -5*f - 31. Let t be 12 - 0\/(o\/((-4)\/1)). Does 8 divide (-3)\/((-12)\/391) + 3\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 206 = -2*o, -5*q + 1060 = -5*o + o. Calculate the greatest common factor of q and 270.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 113 - 71. Let m = -39 + y. Solve 4 = m*g - 2, i - g = -2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**3 + 15*g**2 + g + 21. Let s be u(-15). Let y be ((-16)\/12)\/(s\/(-9)). Solve -5*c = -2*h + 31, 2*h = -0*c + y*c + 16 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 109\/56 and 65\/21739872.\nAnswer: 21739872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, -2, -408\/7, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 419 minutes before 10:57 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 190163 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/40 of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*h + h + 26*h + 39 = 3*s - 4*s - 27*h - 21*h, 0 = -h - 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 241849961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.0152 - -3.9848. Put -3\/7, -9\/13, r in ascending order.\nAnswer: -9\/13, -3\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 224*z**2 + 79 with respect to z.\nAnswer: 448*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1660\/88 + (-10)\/((-3080)\/42))\/(-3*2).\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 316 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 250 - 253. Let v(a) = -10*a**3 + 4*a**2 + 4*a - 4. Let b(t) = -9*t**3 - 26 - 28 + 3*t**2 - 25 + 3*t + 76. Calculate k*v(w) + 4*b(w).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tqzm when four letters picked without replacement from ttstqtmzmqmtmttzms.\nAnswer: 7\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 382895425?\nAnswer: 5, 11, 37, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -619 by 13683.\nAnswer: -619\/13683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 24846835001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2 + 60\/35)*(3 + -5 + 3). What is the nearest to -34 in 0.3, 1\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.7029 + -0.702893506. What is n rounded to 7 dps?\nAnswer: 0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -3 + 4 - 51\/45. What is the second smallest value in -2, 0.1, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 28*q**2 - 31*q. Let v(j) = 4*j + 1. Give z(v(w)).\nAnswer: 448*w**2 + 100*w - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 - 2)*(w - w - 3*w**2)*(-737*w + 172*w**2 + 737*w + (-3*w**2 + 0*w**2 - 2*w**2)*(-2 - 1 + 2)).\nAnswer: 2124*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 76 + -77 - (0 - 11)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p + 22. Let f be c(-8). Let b = f + 4. What is the tens digit of 109 + (-11)\/13 + b\/(-117)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**3 + 5*u**2 + u - 2. Let w be a(5). Suppose w*m - 18 = -6. Let o = 9 - m. Solve -o = k + z + 3, 5*z = -3*k - 32 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -486 by 7328.\nAnswer: -243\/3664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -2*s - 7. Let p(z) = -3*z - 8. Let h(v) = -4*a(v) + 3*p(v). What is h(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the first derivative of j**5\/20 + 2*j**4\/3 - 2*j**3 - 5*j**2\/2 - 211*j - 122. Let i(h) be the first derivative of z(h). Determine i(-9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 2*f)*(0 + 2 + 0) + 465*f + 1608*f + 1141*f - 47*f + 21*f.\nAnswer: 3192*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24\/(-16))\/(1*9*-1).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 0 + 0 + 2 + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -31639\/7 + 4520. Solve 12\/7*n**2 - u*n**3 - 48\/7*n + 64\/7 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**3 + w**2 + 6*w + 7. Let m(i) = -18518*i**3 - 591*i**2 - 3546*i - 4137. Calculate 591*l(n) + m(n).\nAnswer: -19109*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c + 30 = 6*w - 10, 3*w = 4*c - 22 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 52 and 1112?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 3, 2, -3443, -1, -25 in ascending order.\nAnswer: -3443, -25, -2, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**2 - 6*b + 2. What is the lowest common multiple of u(-4) and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2, 91, 254, 493, 814, 1223?\nAnswer: 1726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 377751 to the power of 1\/2, to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.8 - -0.2. Let i = 5\/562023 - -222041\/6423120. Let h = i + 1\/560. What is the smallest value in h, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:53 PM and 7:37 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 441951064 to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-42)\/(-15))\/(38\/855*27\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -19 + 10. Let m = l - -10. Solve -b + 4 = -m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 184 - 731\/4. Suppose -998 = p - 996. Which is the third smallest value?  (a) p  (b) g  (c) -5  (d) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1 - -886*(-3)\/204. Let s = v - 8\/17. Let x = -6314 + 50587\/8. What is the common denominator of s and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 + 9 - 22 + 7 + 3894*o**2 to the form y + n*o**2 + i*o and give n.\nAnswer: 3894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-j + 5*j - 2*j)*(-2 + 4 - 4) + (7*j + 165 - 165)*(4 - 3 + 0) + (-5*j + 2*j + 4*j)*(-63 - 32 - 17) to the form c*j + v and give c.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*h - 17*h + 2*h - 11*h - 23*h.\nAnswer: -64*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -589646, -589632, -589602, -589550, -589470?\nAnswer: -589356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -z**3\/5 + z**2 - 7*z\/5 + 3\/5 = 0. What is z?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 10  (b) 3  (c) 29\/5  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a kilometer in meters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -3*j - 8. Let z be f(-5). Calculate the greatest common factor of z and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.8 * 349.724\nAnswer: -279.7792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000004279 to seven dps.\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -3*d**3\/2 + 797196*d**2 + 66968433*d\/2 + 351591219 = 0.\nAnswer: -21, 531506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6)\/66 - (-112)\/66*(-99 + 102). Solve -3*m + 15*q = 15, 0 = -7*m + u*m + q + 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 941426643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -60 != -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/(-14) + 74\/14. Suppose r*b = -0*b + 20. What is the lowest common multiple of b and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -13129, -2, -50, 1 in ascending order.\nAnswer: -13129, -50, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 15215, 15119, 14915, 14597, 14159?\n\"Answer: -d**3 - 48*d**2 + 55*d + 15209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*s - 8115 = 607*s + 2487 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -29\/44 + 10\/11. Which is smaller: d or 13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, a: 1, i: 7, f: 8}. Give prob of sequence bff.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3147421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -27 + 105. Let t = 78 - b. What is the closest to t in -3, 2\/17, -2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 79.736175 minutes in days?\nAnswer: 0.05537234375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7200 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 + 4. Suppose 0 = 7*r - k*r - 106. What is the remainder when r is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 425?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.5601 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 80 greater than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/143433798 and -39\/47811266.\nAnswer: 143433798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q - q. Suppose q*w - 10 = -2*w. Let l(f) = -f + 2. Give l(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -3*r + 803980, -1613037 = -4*r - 4*g - 541017. Round r to the nearest ten thousand.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 4 - 4*c - 3*c - 3*c**2 + 4*c**2 + 1. Let m be s(7). Solve 0*l + 10 = m*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1498788 and 372.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3432 + -1270. Find the third derivative of -2162 - 9*z**4 - 4*z**2 + d wrt z.\nAnswer: -216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 118639?\nAnswer: 29, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.2257161 and -14840.\nAnswer: -14840.2257161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -183263, -183277, -183295, -183317, -183343, -183373, -183407?\n\"Answer: -2*i**2 - 8*i - 183253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 46 = -18. Sort a, -2, 4 in ascending order.\nAnswer: -2, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -1  (b) -3\/8  (c) 1\/2  (d) 3\/5  (e) -626\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 + 2. Let j be (60\/(-36))\/(p\/(-12)). Solve 0 = -j*z + 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = 0, -5*x + 9 = -4*x + 3*f. Let j(z) = 4 - 6 - z**2 - x - 11*z. Is j(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*m**2 + 8 + 5 + 12 - 25.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44 + 58*m**2 - 67 - 60*m**2 - 80 - 18*m.\nAnswer: -2*m**2 - 18*m - 191","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-24)\/11 + 2 - 40\/22. Let v be (-3)\/((s + 5)*2\/(-4)). Suppose -2*y + 1652 = v*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*f + 3*f + 3*f**2)*(f**3 - 4*f**3 + 5*f**3) - 5*f**5 + 1 - 1 + (-f**4 + 3*f**4 + 0*f**4)*(f + f - f) + 2*f**2 - 2*f**2 + f**5.\nAnswer: 4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 5, a: 3}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 94 and 350?\nAnswer: 16450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 4*x. Suppose -3*t - 3 = 0, 0*t - 24 = -5*i + 4*t. Let c(w) = 6*w - i*w - 3*w. What is c(b(h))?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31 - 16 + 17*a**2 - 15.\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 580*j + 593*j - 655 - 95 - 1009*j - 402 - 4*j**2 = 0?\nAnswer: 9, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2\/((-16)\/(-20)))\/(2\/4). Let n(y) be the second derivative of -1\/20*y**m + 0 + 0*y**4 + 2*y + 0*y**3 + 3\/2*y**2. Differentiate n(i) with respect to i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -300 + 311. Let b(h) = 2*h**3 - 22*h**2 - 2*h + 25. Let j be b(q). Suppose -g = -4*k + 3*k, -3*g = -5*k + 4. Which is bigger: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -109\/190624 and 173\/1932?\nAnswer: 571872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 24, 3, 0, -1\/2, 16058?\nAnswer: 16058","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is m in -3*m**3\/7 + 33*m**2 - 222*m\/7 - 456\/7 = 0?\nAnswer: -1, 2, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 889 - -236. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9 - -9. Suppose q = 3*d + 2 + 7, 0 = 3*z - d - 12. Suppose z*j + 526 = 5*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 2, b: 6, i: 1, g: 1, a: 7}. What is prob of picking 2 b and 1 a?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 377\/28 + -96\/7. Sort -1, w, -2, -101 in decreasing order.\nAnswer: w, -1, -2, -101","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes before 2:18 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7 in -3, 199, 1, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 - 21220?\nAnswer: -21202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 41*s + 32*s - 30*s)*(1 - 2 + 3).\nAnswer: -78*s + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -152 by 34.\nAnswer: -76\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1 + 1 + (-12 - (-228 - -8)). What is the greatest common divisor of 130 and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**2 - 12*h + 16. Let z be (-4)\/12 - (-114)\/(-9). Let p be u(z). Let t = -10 + 8. Put t, 0, p in descending order.\nAnswer: p, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47 = -4*j + 3*k, 5*j + 10138 = -4*k + 10189 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 82996 is divided by 1929.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -91 and -0.4485?\nAnswer: 90.5515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = 5*a + 3*i - 68, -3*a = i - 38. Suppose -2*o = 3*f - 0*f - 13, 2*f + 3*o - 17 = 0. What is the remainder when f - -35 - (3 - 2) is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(605) - sqrt(605)) + sqrt(605))*-2.\nAnswer: -44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the first derivative of 649*i**4\/4 + i**2\/2 - 7066*i + 781. Differentiate t(l) with respect to l.\nAnswer: 1947*l**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 119 in -9, -263, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*u - 9*u + 2*u - 15*u in the form y*u + t and give y.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w - 4*w**2 + 2*w**3 + 0*w**3 - w**2)*((1 + 3 - 5)*(-2 - 3 + 2) - 3 + 0 + 1).\nAnswer: 2*w**3 - 5*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12276866 is divided by 12276816.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + 2 - (-1 + (16 - 8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 132 = -14*u + 76 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -482 - 347 - 10*m**2 + 1318 - 489 - 61*m**2.\nAnswer: -71*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7 - -4. Let o(j) = -2*j - 1. Let v(y) be the first derivative of -y**2\/2 - 3. Let l(u) = -5*u - 1. Let x(f) = l(f) - 2*v(f). Calculate n*x(s) + 4*o(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000025975193 rounded to 7 dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 4, z: 6, h: 5, m: 1}. What is prob of sequence zhz?\nAnswer: 5\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1936441 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 65 + -107. What is the units digit of 56\/t*(-177)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -2*f**3 - 171*f**2 + 3608*f + 312. Calculate b(-103).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 98175 - -25688. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**3 + 6*d**2 + 6. What is the lowest common multiple of 6 and p(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (35\/(-2))\/(-7) - (-2)\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(224)*-2*-2)\/(sqrt(7) + sqrt(14)\/sqrt(2)*-4).\nAnswer: -16*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -2*k + 3*k - k**2 + 3 + 3*k + 16*k**2. Is n(-1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rz when two letters picked without replacement from zrzrzrzriziizz.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 11541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -5, 422, 861, 1318, 1799?\n\"Answer: f**3 + 420*f - 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the third derivative of v**7\/360 - 5*v**6\/72 + 29*v**5\/60 - 10*v**2. Let u(i) be the third derivative of h(i). What is the units digit of u(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 158 and 60?\nAnswer: 4740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2113, 4248, 6409, 8608, 10857?\nAnswer: 13168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -69\/20 and 1 + 8 + (-653835)\/27196 + 15.\nAnswer: 10460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the second derivative of -c**4\/4 + 13*c**3\/3 - 11*c**2\/2 + 19*c. Let u be t(8). Solve -u*m - 9 = q + 1, 5*m + 10 = 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1002100 + -12?\nAnswer: 1002022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 391 is divided by 13284\/117 + (-48)\/(-104)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*v = -191 + 44. What is the highest common factor of 1477 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -6*i - 19. Let v(r) = 4*r + 13. Let x(z) = -5*b(z) - 8*v(z). What is the remainder when 20 is divided by x(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 269284 and 2760161?\nAnswer: 11040644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*l = -14*l - 198384. Let j = 12044 - l. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -87*b**3 + 2*b**2 - 15*b + 20. Determine u(2).\nAnswer: -698","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.6946 - 0.5?\nAnswer: 2.1946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve p = 5*p + 5*d + 49 - 9, 0 = -4*d for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3995 divided by 7.\nAnswer: -3995\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j - w + 18 = 0, j - 7*w + 15 = -3*w for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19314*x - 19110*x = -3672 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:19 AM and 6:21 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the first derivative of 1 + 7\/4*i**4 + 0*i + i**2 + 2*i**3. Let q(w) = -15*w**3 - 13*w**2 - 4*w. What is -13*d(y) - 6*q(y)?\nAnswer: -y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12958064059\/2418 - -5359001. Let t = p + 1\/186. Let y = 106\/3 - 35. Which is the second smallest value?  (a) -2  (b) -1\/4  (c) t  (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2 + 2)\/(0 + -3). Let h(q) = 6 + 0*q - q - 14. Let a be h(-6). Sort a, c, 1 in descending order.\nAnswer: 1, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:35 AM and 10:47 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*u - 35 = 7. Let o(i) = 13*i + 1487 - 1484 - 8*i - 2*i**u. Calculate o(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-16599236)\/(-222) - ((-20)\/(-15))\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ktt when three letters picked without replacement from eteeeeeket?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -4\/97 > 417.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = -2*j + 6, n - 6 = 4*n - 2*j. Suppose 3 = -n*v + v. Solve -v*u - 2 = 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -136365 * 3.\nAnswer: -409095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15370?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (34 + -35)*(-1 - -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -2\/11, 0.09, 1\/2, 3, 1.42, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*g - 2*f + 14 = 18*g, 18 = -5*g + 4*f for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-18 - 105 - 475 - 526)*(-1 - 1 + 1)*(-3 - 2 + 7)*(5*b**3 - 4*b**3 + 2*b**3) to o*b + h*b**2 + r*b**3 + f and give r.\nAnswer: 6744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -57 * -9319777.\nAnswer: 531227289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 699, 2, 0.305 in descending order.\nAnswer: 699, 2, 0.305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/(r\/(r**(1\/4)\/r)*r))\/r)**22\/(r**(-9)*r*r**(-5)))**(28\/3) assuming r is positive.\nAnswer: r**(-1330\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44*r + 7*r**2 - 210 - 8*r**2 - 49*r + 93*r.\nAnswer: -r**2 - 210","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 101 - 19 = 0. Let q be (-866)\/(-6) - 32\/x. Suppose 5*u = 267 + q. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the first derivative of -5*s**4\/2 - 6*s**3 + 38*s**2 - 48*s - 1300. Factor w(n).\nAnswer: -2*(n - 1)*(n + 4)*(5*n - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 632417?\nAnswer: 17, 37201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in nineteen quarters of a meter?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1 - 2)\/(9\/(-2)). Let t = -6 + 13\/2. Which is the closest to q?  (a) t  (b) 0  (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.33895 and -2.\nAnswer: 0.6779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 2*b + 35 + 35, -20 = 4*b. Let q be 208*(3 - c\/6). Calculate the highest common factor of q and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 175 = 3*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 486809706*k**3 + 2*k - 22268108 wrt k?\nAnswer: 2920858236*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 299 and 26?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, m: 2, g: 1}. Give prob of picking 2 m and 1 g.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r = 4*r - 500. Suppose -g + 7*g = 54. Suppose 0 = 4*p - g*p + r. Solve 5*o = -5*f - p, -o - 5 = -4*o + 2*f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1, 10, -924 in descending order.\nAnswer: 10, -1, -4, -924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 21271 = 2*g, -53182 = -66*g + 61*g + 4*p. Is 26 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6)\/((-2)\/2 - 0). Suppose h = -0*h + f. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*b - 44625 + 14469 = 0. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 8*y - 25. Let o(j) = 7*j - 24. Calculate -6*o(l) + 5*z(l).\nAnswer: -2*l + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 789068773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-3)\/4)\/(18\/(-240)). Calculate the highest common factor of 160 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -x + x + 3*x**5 - 2*x**5 + 4*x**5 - 3*x**5 + (-12*x**2 + 510*x - 510*x)*(0*x**2 + 0*x**2 + x**3).\nAnswer: -10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 4*j - 2*y, j + 5*y - 5 = y. Suppose -c + 822 = 5*c. Let q = c + -131. Solve -p + q = -j*m, 3*p + 1 = 5*m - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-36)\/(-378))\/(((-32)\/9)\/2 + 2). Which is the second biggest value?  (a) -3  (b) 3.4  (c) y  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g - 20, 2*o = -g - 0 + 9. Let u = 13 - o. Solve -a = -u*a + 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -190.41 + 194.8016. Let h = n - 4.4. What is h rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11 + -16. Let r = u - -11. What is the least common multiple of (-2)\/10 + (-138)\/(-15) and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -l - 2*l. Suppose -5*g + l*h + 8 + 7 = 0, 3*g - h = 5. Suppose -17*p + 3924 + 139 = g. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**3 - 60*m**2 - 227*m - 162. Determine n(-56).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 15\/(-2)*((-528)\/(-72))\/(-11)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 37 + 5 = 0. Let x = -21 + z. Solve x = -0*r - 2*r + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**3 + 12*f**2 + 3143*f + 15546. Calculate w(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20\/35 + (-150)\/385.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 11293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*d**2*t**5 - 2*d**2*t**2 - t**5 - 836*t**2 wrt t?\nAnswer: -120*d**2*t**2 - 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2 + w + (-4 - w + 4)*(0 - 4 + 6) + 3*w - 2*w - 3*w + 7*w - 5*w - 4*w)*(-40 + 40 + 11*w) as c + k*w**2 + l*w and give k.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 2\/15  (b) 65.69  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -0.08 * -0.39\nAnswer: 0.0312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 152225554.\nAnswer: 2, 13, 103, 56843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 18646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**3 - 10*n**2 - 6*n - 48. Suppose -m + 11 = -2*o, 4*m + o + 371 = 415. Determine z(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - b**2 + 0 + 0 - 3 to the form d*b**2 + y + c*b and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-5 - -1)\/(4\/270). Let y be (4 + 27\/(-6))*2. What are the prime factors of y\/4 + g\/(-24)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -3*j + 3. Suppose 5*u + 0 = 15. Let a be t(u). Let r(o) = o**2 - o - 14. List the prime factors of r(a).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v = 5*u - 3, 4*u = -5*v + 3*u - 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x + 1. Let s(d) = 2*d**2 - 4*d - 5. Determine -6*k(u) - s(u).\nAnswer: -2*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -49*l**3 + 14*l**2 + 5*l + 29. Is r(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -138*r = -135*r + 5*m + 146, -4*r - 214 = -3*m. Is r less than -253\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2 - 2b15?\nAnswer: -2b13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -70\/9 and 24891\/(-132363) + 46\/253.\nAnswer: 12033","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**3 + w - 1. Let u(p) = 8*p**3 - p**2 - 4*p + 4. Let d(q) = -u(q) - 4*v(q). Suppose 2*j = 5*j + 3. List the prime factors of d(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5318.31 weeks to milliseconds.\nAnswer: 3216513888000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2388, -4066, -5044, -5328, -4924, -3838, -2076?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = 3 + 27. Let x(d) = d**3 + 7*d**2 + 6*d - 1. Let q be x(p). What is the nearest to -0.1 in q, -3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 123*b = -9*b + 892137 + 130071. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*h = -26*h + 911066. Let z = h + -350467. What is z rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5122, -61697, -215268, -514333, -1007390, -1742937, -2769472, -4135493?\nAnswer: -5889498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 3*a - 8 = 0. Let b be (-10)\/15*102\/a. Let z = -12 + b. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -b1a - -9?\nAnswer: -b11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -86\/13 in 1\/4, -0.4, -5\/4, -1, 2\/13?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the second derivative of r**4\/12 + r**3\/3 - 3*r**2\/2 - r - 20. Let h be k(2). Sort 1, -1, 0, h in descending order.\nAnswer: h, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16\/(-280)*5*(297\/(-6))\/11.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 53 in 12\/13, 8, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4 + 2c003e6?\nAnswer: 2c003e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 17044947 to the nearest integer?\nAnswer: 4129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((-3*sqrt(4))\/sqrt(2) + -2 + sqrt(2) + -3 + sqrt(2))*-6.\nAnswer: 6*sqrt(2) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 4\/5  (b) 0.02  (c) -3  (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -3*x + 23, 3*b + 76 = 3*x + 31. Let z = -4 - b. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*p + 12 = 8*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/(-20)*9\/378*35?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35 + 10*v - 11*v - 18 - 20*v**3.\nAnswer: -20*v**3 - v - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/9)\/((-4)\/(-6)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -22 - -26. Let w be (l - 3)\/(4\/(-3)). What is the second biggest value in w, 1, -15?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 <= -2599\/22413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 914 a factor of 97554566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x and 1 n when three letters picked without replacement from {o: 6, x: 2, s: 2, n: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 0.0387645 centuries?\nAnswer: 46.5174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1065.124 - 1063. Let b = -0.024 + h. What is b rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -6*h**3 + h**2 - h - 2. Let f(a) = a**3 - 1. Let m(l) = -3*f(l) + v(l). Calculate m(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = t - 2*c - 2, c = 4*t + 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times 1302?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -224.97 - 1.03. Let j = p - -224. Let k = 12 + -7. Which is the closest to j?  (a) 3  (b) k  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 537 - 561. Does 95 divide -456*(-5 - 40\/x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 298*t**2 - 2. Let s(m) = 3*m**2. Determine s(o(z)).\nAnswer: 266412*z**4 - 3576*z**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 929 - 921. Calculate the smallest common multiple of l and (-4 + -1)*98\/(-35).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 53 - 32. Let s = p + -6. Calculate the remainder when s is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**3 - 9*a**2 + 7*a - 36. Let u be l(-10). Let d be u - (-4 + -3 - -2). Is -16\/7 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the second derivative of 5\/12*c**4 + 0 + 0*c**2 + 0*c**3 - 2*c. Let l(m) = -2*m**2. What is l(x(o))?\nAnswer: -50*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -8*(11\/2 - 6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 7104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -49196 + 131887. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 420, 682, 1390, 2766, 5032, 8410?\n\"Answer: 37*d**3 + d**2 + 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 46\/5 of a day?\nAnswer: 13248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**2 + c. Let y(n) = -18*n**2 + 15*n. Let o(b) = 15*h(b) - y(b). Let u(a) be the first derivative of a**2\/2 - 1. Determine o(u(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q + 5*t - 10, -2*q + 3*t + 16 = -16. Let j = -7 + q. What are the prime factors of 2\/3 - (-28)\/j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2\/9, -5, -2\/21, 1\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 9959 + 103?\nAnswer: 9a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 130185 divided by -5?\nAnswer: -26037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 10, d: 7, s: 1, w: 1}. What is prob of picking 2 i?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/9?  (a) -0.1  (b) -3  (c) 1\/2  (d) -0.3  (e) 16.9  (f) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*i - 2411 + 2551 = -5*f, f + 20 = i for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 15 and 42435297.\nAnswer: 212176485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 16266*q**2 + 56*q + 227. Is c(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*a + 4*a + 0*a)*(-25*a - 38*a - 29*a - 49*a) in the form f*a + c + n*a**2 and give n.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the third derivative of k**4\/24 - k**3\/3 + 3*k**2 - 38*k. Let m(q) be the second derivative of q**3\/6 + q**2\/2 - q. What is -l(v) - m(v)?\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 46559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -252934, -252935, -252936, -252937, -252938, -252939?\nAnswer: -252940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -15192\/19 or -801?\nAnswer: -15192\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*v - d + 2237, -1692 = -3*v + 2*d + 2*d. What is the common denominator of 4\/(-8) + 33\/(-20) and (-4)\/(-7) + (-1615)\/v?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 4*z - 86, b + 44 = -0*z + 2*z. Calculate the greatest common divisor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 350*h**5 + 855*h**4 + 666*h**3 + 167*h**2 + 6*h = 0. Calculate h.\nAnswer: -1, -2\/5, -3\/70, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 146 + -131. Suppose -s - m + 5 = 4*v, -v - 4 = s. What is the third smallest value in 5, s, -0.06?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2096 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 75 - 35 = 0. Let i be (3 - 0\/3) + -3. Let h = i - -6. Calculate the lowest common multiple of h and m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 91396 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 10 - 14 = 0, 1811 = u - 3*r. Does 73 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x - 1\/2*x**3 + 1\/2*x**2 - 6.\nAnswer: -(x - 2)**2*(x + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 417098 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the second derivative of -1\/50*r**6 + 0 + 1\/20*r**4 + 1\/30*r**3 - 2*r + 1\/100*r**5 - 1\/105*r**7 + 0*r**2. Find u, given that l(u) = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -4) + (2 - -3 - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -424*t = 3666 + 10146 + 1452 for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**3 + 1. Let q(i) = 5*i**3 - 4. What is q(s) + 2*w(s)?\nAnswer: 3*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 2 - 1517*q**2 - 1 - 24*q + 1415*q**2 in the form s*q + j*q**2 + f and give j.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 176 - -202. Suppose 2*z - q = -z + 3*s, -378 = -3*z + 5*s. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*p + 3*p - 2*p)*(237*p**2 + 323*p**2 + 893*p**2).\nAnswer: -8718*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 591830?\nAnswer: 2, 5, 59183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.46127364 + 2.545.\nAnswer: 2.08372636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -79, -98, -19, 194, 577, 1166?\n\"Answer: 6*o**3 + 13*o**2 - 100*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 82*g = 3034*g + 35424 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-30)\/220)\/(7 - (-79)\/(-11)). Which is the nearest to 1?  (a) 1\/15  (b) -4  (c) 7  (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 2 = -2*s. Let l(p) = 2*p - 1. Let u be l(s). Solve -m - u = -1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) -5797  (b) 0  (c) -3  (d) 2\/3  (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2000022 + -12001?\nAnswer: -2012100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 881126381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -311*l + 1640. Calculate the remainder when o(4) is divided by 166.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**2\/6 - 12778*f\/3 + 76695\/2.\nAnswer: -(f - 9)*(f + 25565)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 + 6. Suppose 7 = 3*o - 2*l, 5*o - 2*l - 4 - 5 = 0. Let c be 1\/3*(19 - o). Solve 2*x = -2*t + c, -z + 7 = -5*x - t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(4800) + sqrt(48))**2.\nAnswer: 124848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k + 22 = 3*b, -3*k = 10*b - 6*b + 19 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i = -5*a - 7*i + 25, 5*i = 3*a + 25 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 140419 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5377\/70 - -771\/10. Put -24, 1, n, 0.2 in descending order.\nAnswer: 1, n, 0.2, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1950 - -369. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1190 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 = 4*m + 18. Let i be m\/(-21) + 8\/6. Suppose -5*n = i*q - 147, q - 4*q = -3. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5\/6*u**2 + 15\/2 + 20\/3*u.\nAnswer: -5*(u - 9)*(u + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6384017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 348125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2  (b) -1  (c) 56  (d) -7  (e) 0.28\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -86*b**5 - 21391*b**4 + 5*b**3 + 205286*b**2 + 7*b?\nAnswer: -5160*b**2 - 513384*b + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 4*r**3 + 5*r**2 + 5*r. Let b(o) = 10*o**3 + 12*o**2 + 12*o. Give -5*b(c) + 12*d(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*m**5 + m**5 - 5*m**5 + (-3 + 3 - 2*m**5)*(1 - 3 - 2) + (-m**2 + 5*m**2 - 2*m**2)*(-5*m**3 + 0*m**3 + 4*m**3).\nAnswer: 4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((700\/(-30))\/5)\/((-4)\/6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 129410 is divided by 125?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -35 - -21. Let o = 41 + g. Let f = o + -15. Calculate the least common multiple of 10 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the first derivative of -r**4\/12 - 117*r**2\/2 + 202. Let h(v) be the second derivative of i(v). Let l(x) = 2*x - 106. Determine l(h(f)).\nAnswer: -4*f - 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -202*f - 153689 + 153689 to the form s*f + z and give s.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -6, -4, 5 in ascending order.\nAnswer: -6, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*y**3 - 3*y**3 - 4*y**3)*(324*y - 1246 + 1248 - y**2 - 54*y).\nAnswer: 3*y**5 - 810*y**4 - 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 20 + 28 = 4*a, a + 4*m = 27. What is the remainder when a is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2020577 is divided by 155.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1619, 2751, 3443, 3695?\nAnswer: 3507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.21004 - 0.18996. Let f = -2 + 2. Sort o, 23\/2, f in decreasing order.\nAnswer: 23\/2, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0059705953 rounded to 5 decimal places?\nAnswer: -0.00597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2082822.59 + 2082843.5899977. Let m = -0.046 - 20.954. Let z = m + d. What is z rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 5 = -j, -j - 2*j + 5 = h. What is the third derivative of -1052*l**5 + 2*l**j + 58*l**6 + 1 + 1052*l**5 wrt l?\nAnswer: 6960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -42349*-4\nAnswer: 169396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 4*i**2 + i - 1. Let g be j(-4). Round g to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 4) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the second derivative of 29*c**5\/20 + c**4\/6 - c**2\/2 + 4*c. What is the remainder when l(1) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 n when two letters picked without replacement from ncllclnccclncln?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 85558.\nAnswer: 2, 11, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1176 divided by 49?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -16*b**5 - 9*b**5 + 0*b**5 + 30*b wrt b.\nAnswer: -500*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 9, g: 4, n: 1}. What is prob of picking 2 g and 2 y?\nAnswer: 216\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 38*h + 541. Let n be g(-14). Let y(r) = r**2 - 13*r + 42. Determine y(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -4, -5, -6?\n\"Answer: -d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 400\/89?  (a) -0.1  (b) 5  (c) 3  (d) 0.5  (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -4 + 3 - 4*z + 17*z - 14*z - 8*z**3 + 0*z**2 + z**2. Suppose 0*w + 13 = -4*w - 3*p, -4*p = w + 13. Calculate j(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 88264345 by -3445.\nAnswer: -25621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.227568 and 8616.\nAnswer: 8616.227568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -457 + 455 + 0 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -3*a - 7. Let j be z(-5). Let f(q) = q**3 - 8*q**2 + 3*q - 4. Let x be f(j). What is the units digit of x\/1 - (1 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*(-4)\/20*1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6218743819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4272 divided by 534?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1372*y**4 + 9921520*y**3 + 25518528*y**2 + 21874752*y + 6250176.\nAnswer: -4*(y - 7234)*(7*y + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10010000111001100011 (base 2) to base 3.\nAnswer: 1010011010202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by 865?\nAnswer: 4\/865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/10)\/(567\/(-1701)*(-6)\/90*3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3189, -6382, -9579, -12780, -15985, -19194?\nAnswer: -22407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:55 AM and 2:59 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 22, -1, 166, -14 in descending order.\nAnswer: 166, 22, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-78)\/(-10) + (-17)\/(-85). Let x = n - 4. Suppose 2*l - 8 = x*i - 2*i, 3*i = -2*l + 8. Which is bigger: l or 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 4 + 4)*(r - r - r + (4*r + 3*r - 6*r)*(-2 + 4 + 0) + 4*r + r - 6*r + 2*r + 4*r - 4*r + 3218 + 3*r - 4071 + 2199) to the form j*r + m and give m.\nAnswer: 1346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 8697404, 3, 0.\nAnswer: 0, 3, 4, 8697404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -22 + (14 - 14) + 7 + -3?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (1\/5)\/((-296)\/(-5180))\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 149187*u**2 - 656958*u + 723243.\nAnswer: 3*(223*u - 491)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2600647 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 63*j**2*x**2 + 2*j**2*x + 5*j**2 + 94*j*x - 10*x**2 wrt j?\nAnswer: 126*x**2 + 4*x + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 199*j - 220*j - 11*j**2 + 420*j - 9*j**4 to w*j**2 + v*j + y*j**4 + l + d*j**3 and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14.593 - -0.307. Let a = 262 - 277. Let w = g + a. Which is bigger: -0.01 or w?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*h - 38*h**2 + 0*h**3 + 3*h**3 - 3 - 5*h**3 + 37*h**2 as l*h**2 + g + t*h + s*h**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-4*sqrt(190))\/(sqrt(160) - (sqrt(160)*3 - sqrt(160))).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6792*o**2 - 13592*o**2 + 6801*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 + 8. Suppose 3*q = -x + 15. What is the smallest common multiple of (5 - 1) + -7 + 11 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 + 4. Differentiate -6 - 14*s**3 + 3*s**x + 1 wrt s.\nAnswer: -33*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -420.9997 - -421. What is w rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6022044, 12044083, 18066122, 24088161, 30110200, 36132239?\nAnswer: 42154278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 195240 is divided by 48809.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*1\/2*(-4)\/4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2 - (1967 - -1)\/4. Let g = 688 + c. List the prime factors of g.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1397 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 366988.\nAnswer: 2, 23, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {s: 5, k: 4, z: 1, a: 4, i: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -69*r + 2*r**2 + 233*r + 60*r + 243*r to d*r + y + s*r**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1499 divided by -5?\nAnswer: -1499\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 48880, 97765, 146662, 195571, 244492, 293425, 342370?\nAnswer: 391327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (16\/24)\/(2\/(-6)). What is the smallest common multiple of t\/(-8) - (-15)\/20 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*o**4 - 4*o**4 - 193*o + 174*o - 2 wrt o?\nAnswer: -72*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**3 - 12*b**2 + 36*b + 164. What is i(-13)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l + 4*l - t = 5, 2*t - 2 = 2*l. Which is the nearest to l?  (a) -0.3  (b) -55  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 36a207 + 1?\nAnswer: 36a208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 72347, 2, -23 in ascending order.\nAnswer: -23, 2, 72347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-9)\/(-2))\/(15\/20). Let x be 30\/y - 12\/4. Let k(u) = -7*u**2 - u + 1. Let m be k(1). Sort m, 5, x in increasing order.\nAnswer: m, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 10, 1\/3, -2, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 29?  (a) 2  (b) -1\/5  (c) 4  (d) 884.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**2 - 21*y - 22. Give k(20).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -448, -445, -442, -439, -436, -433?\n\"Answer: 3*s - 451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/3 or -16\/157?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - 1) + 2 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 875*u**5 + 1640*u**4 - 3760*u**3 - 6640*u**2 + 1040*u + 320 = 0. What is u?\nAnswer: -2, -4\/25, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2\/1)\/(-9 + 3 + 7). Let k be (50\/(-5))\/(n\/(-24)). Suppose 3*g = -7*u + 2*u + 90, 0 = -4*g + u + k. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(243)*1*-2)\/((sqrt(1089) - (1*sqrt(1089) + sqrt(1089)))*6))**2.\nAnswer: 48\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1553.\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21 + (7 - 20) - (-21 - 1).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -2*h. Let q be t(2). Suppose 0 = -4*n - g + 25, -3*n + 1 = g - 18. Does 19 divide (-2)\/n*(q + -53)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 107457 and 4918899.\nAnswer: 2193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 21134 and 0.001.\nAnswer: 21.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1 and -65053.\nAnswer: -65052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 24 - 23 - (-48)\/(-9)\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2544420*k**2 + 2224957 wrt k?\nAnswer: 5088840*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 20 and 460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*c + 1 - 1)*(-16*c - 15*c + 9*c) - 1 + 1 - 4*c**2.\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 293 + 33*f**2 - 293 + (f - f - 2*f)*(55*f + 14*f - 4*f) in the form s*f + b*f**2 + v and give b.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 - -4. Let m = 6 - h. Suppose -3*j = 0, 0 = c + 3*c + m*j - 64. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/(-75))\/((-4)\/12)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-14)\/16)\/(-7)*(-216)\/(-189).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 20385599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**2 - 3*s - 15. Let j be c(5). Let r be j\/20*36\/4. Let p = 0.2 - 0.7. What is the biggest value in p, 1\/3, r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -25236 + 25239. Let i(r) be the first derivative of 7\/10*r**2 + 0*r + 1\/15*r**u + 38. Find k such that i(k) = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 15 - 11. Suppose z + 2 = b. Calculate the greatest common factor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4949 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6545425m in micrometers?\nAnswer: 654542.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(-1\/4)*q*q*q**(-8)\/q)\/(q**(-2\/15)\/q**(-2\/9)))\/(((q\/q**2)\/q)\/((q*q\/(q**(1\/12)*q))\/q))**37 assuming q is positive.\nAnswer: q**(2906\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 83 divide 249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 3*m + 4 = 0, -4*l + 1 = -5*l - 3*m. Does 8 divide 8 - (1 + l)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6287 = -11*m + 2788. Let s be (-44)\/1*m\/(-44). What is the greatest common divisor of 33 and s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**8*o\/((o**(-2\/61)*o*o)\/o*o) assuming o is positive.\nAnswer: o**(429\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0.3, 3\/961165 in ascending order.\nAnswer: -5, 3\/961165, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 10834.76 rounded to the nearest 10?\nAnswer: 10830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, p: 1, n: 2, x: 3}. What is prob of sequence xm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + s + 3 = 0. Let p(x) = x**2 - x + 3. Let i be p(s). Let k be i\/10 + 2\/(-4). Which is the third biggest value?  (a) -5  (b) -2  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1260 + -1261.394. Let r = b - -1.43. Round r to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1208, -826, 214, 2242, 5588, 10582?\nAnswer: 17554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -32, 515490.\nAnswer: -32, 0, 515490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 18275 - 17297.1. Let y = q + -970.973. Let f = y + 0.073. Do -2\/5 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -207.7 - -5.7. Let a = z + 204. Is a smaller than -0.25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 32934 and 1320?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -30*h + 9. Let a be c(-3). Let k = a - 94. Let q = 3 + -1. Solve q*i = -n + 9, -2 + 27 = k*n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12634?\nAnswer: 2, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3001*y**3 + 4*y - 268 wrt y.\nAnswer: -18006*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*v - 9*v + 0*v as y + o*v and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**2 + 6*l + 6. Let d be h(-4). Let q = d - -7. Is 858\/(-55)*q\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:02 PM and 4:36 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6044.223mm to kilometers.\nAnswer: 0.006044223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (37\/(-555))\/(3\/6).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 h when two letters picked without replacement from {h: 1, y: 2, k: 3, e: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -78325 divided by 33.\nAnswer: -78325\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 - 2 = 4*q. Let o(f) = 2 - f - 1 - q. Let u be o(5). Sort -3, u, 1 in increasing order.\nAnswer: u, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5\/4  (b) -74  (c) 1048  (d) -0.16  (e) 0.4  (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (844*t**3 - 4*t - 423*t**3 - 432*t**3)*(t - 2*t - 3*t).\nAnswer: 44*t**4 + 16*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*j**3 + 42*j**2 - 180*j**2 + 6*j**3 - 117*j**2 + 3*j**3.\nAnswer: 11*j**3 - 255*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1905 + 1910. Let l be 1\/3 - (-5)\/(-6). Which is the smallest value?  (a) -0.4  (b) o  (c) 6  (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 7*c**2 - 94*c + 46. Give t(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 88 = -o, k + 4*o + 99 = 6*k. List the prime factors of k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (5\/((-15)\/118))\/(1\/(-75)). Suppose -2669 - g = -3*s. Suppose -4*n = f - s, -5*n - 2*f = 3*f - 2330. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 f, 1 y, and 1 c when four letters picked without replacement from {c: 4, j: 1, s: 5, f: 7, y: 1, w: 1}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -200223 (base 10) to base 14.\nAnswer: -52d79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the second derivative of 7*h**3\/6 - h**2 + 5*h. Let a(r) = 0 + 2 - 3*r - 1. Let k(y) = -10*a(y) - 4*u(y). What is k(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9144447*h**3 + 30519*h + 113?\nAnswer: -54866682*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1353*k - 53 = 23*z + 1352*k, 3*z + 3*k = 5*k + 66 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 81 and 441.\nAnswer: 3969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 23432192 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 4 = 0, 3*s + 12 = -6*u + 8*u. Let k(p) be the second derivative of 1\/140*p**5 - 1\/14*p**3 + u*p**4 + 1\/7*p**2 - 7*p + 0. What is g in k(g) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-258)\/(-21) + (-2)\/7. Suppose 0 = -0*i - 4*i + l. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 - 3)*(-2 - 2 + 3)*(-2*j + j + 21*j).\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 354 a factor of 5028544727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*f - 39 - 59 + 171 - 73.\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -272, -660, -1016, -1328, -1584?\n\"Answer: 2*f**3 + 4*f**2 - 414*f + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -151\/49224 and -5\/16408.\nAnswer: 49224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 9771.641 millilitres?\nAnswer: 9.771641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**3 - 852*z**2 + 241968*z - 22906304.\nAnswer: (z - 284)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the first derivative of w**2\/2 - 3*w - 6. Let r(k) = 1. Give h(f) + r(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 7*-0.14183757\nAnswer: -0.99286299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2817\/8 - 31003\/88. Let o = -0.1 + -0.9. What is the nearest to 0 in 6\/17, -2\/7, o, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0*-1*4\/8 - -5. Suppose 2*d = -2*m - 2, -q*m + m - 5*d = 3. Let u(b) = -3*b + 1. Let l(h) = -h + 1. What is m*l(c) + u(c)?\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cofrp. Give prob of sequence fr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 672 and 8381478?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 28672 divided by -7168?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 361878456 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 5*y - 40 = 8*a, -2*a = 5*y - 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 2*f**3 + 2*f**2 + 8*f + 7. Give i(-3).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 5029, 10348, 15667, 20986, 26305, 31624?\n\"Answer: 5319*t - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7.197968 - 25.12.\nAnswer: -32.317968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*t - 87 - 137 = -13*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 81 by 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*o**3 + 3*o**3 - 2*o**3 + (2*o - 2*o - o)*(-o**2 + 3*o**2 + 0*o**2) + (-4 + 2*o**2 + 4)*(772 + 83*o - 1534 + 758).\nAnswer: 165*o**3 - 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 - -34. Let n = -31.5 + d. Let c = -2.8 + n. Sort 0.4, c, 2\/9 in ascending order.\nAnswer: c, 2\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the second derivative of -5*q**4\/3 + 3*q. Let b(r) be the third derivative of r**5\/60 + r**2. What is k(b(o))?\nAnswer: -20*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 5, -79, 4, 1 in descending order.\nAnswer: 5, 4, 1, -7, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9 - -10. Solve 0 = 5*s - a + 3 - x, 3*s - 4*a = -8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 2 f when three letters picked without replacement from {n: 3, f: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 7\/3 - (-11200734)\/81 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**2 - 2*y + 4. Let m be b(0). What is the second derivative of -6*j**m + 12*j + j**4 - 14*j - 4*j wrt j?\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 891 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -191\/3 + 63. Which is the nearest to h?  (a) 0.3  (b) -1  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 2*i, 2*a + 3*i = 2*i + 6. Suppose -5*h - 2805 = a*s - 0*h, -2*h + 546 = -s. Let j = s + 6120\/11. Is 0 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**2 + 13*t + 44. Let m be h(-7). Let o(p) = -24*p**2 + 53*p**2 - 21*p**m. Let n(x) = 9*x**2. Give -5*n(a) + 6*o(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 113*k**2 - 17*k + 4*k + 138*k**2 - 221*k**2 + 13*k.\nAnswer: 30*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (5\/(-4))\/(3\/(-12)). Solve -5 = i - t*m + 6*m, -4*m - 11 = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**2 + 21*s - 12984. Give q(-125).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -2216.04 to the nearest 10.\nAnswer: -2220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1301211 (base 5) to base 13\nAnswer: -b600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 116421803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -155 - 100. Suppose 3*q - 4*h - 46 = 21, 2*q + 3*h = 56. Calculate the remainder when f is divided by (-3)\/(-6) + q\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -478.3 - -387. Let m = 94.3 + v. Put 135, 3\/7, -2\/3, m in descending order.\nAnswer: 135, m, 3\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 - 8. Suppose n = 3*a - n - 28, b = -2*a + n + 18. Let o = a - 8. Solve -2*y = 2 - o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3053 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-23598)\/(-345)*10\/3. What is the greatest common divisor of 10830 and u?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.274916 millilitres to litres.\nAnswer: 0.003274916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 3*p = 12, 3*p + 9 = j - 3. Let q = 4 + 0. Suppose -i - 2*w + 6*w + 40 = 0, j = q*i + w - 160. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-1)\/(-2))\/(-2*(-2)\/(-40)). Let z = l - -7. Does 17 divide (-66)\/(-8)*z*80\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 18 + 9396*s - 18740*s + 9441*s. Let l(j) = -3*j. Calculate l(r(b)).\nAnswer: -291*b - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**3 + 2*f**2 + 2*f - 2. Let a be o(2). Let z be (3 - a)*(3 + 0). Let v = 4 - z. What is the third smallest value in 3, v, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32 divided by -2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 96700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h**3\/5 - 12*h**2\/5 + 9*h\/5 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 327\/830 + 1\/166. Suppose 0 = h + 3*t - 5, 4*h - 2*t = -t + 7. Suppose -2 = -2*s + h, 0 = z - 2*s + 4. What is the nearest to z in 2\/11, 0.2, y?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**3 + 2*d**2 - 5*d + 1. Give v(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 191, 196, 203, 212, 223, 236?\n\"Answer: b**2 + 2*b + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -153 - -314?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -203, -402, -601?\nAnswer: -800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the third derivative of t**4\/24 - t**3\/2 - 10*t**2. What is s(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - 37977*j - 6 = -37978*j, -j - 5 = -19*q + 52 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oycsy. What is prob of sequence ysoc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/3, -0.15, -0.04, 3 in increasing order.\nAnswer: -0.15, -0.04, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3299, -16560, -44779, -92960, -166107, -269224, -407315?\nAnswer: -585384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bkbk when four letters picked without replacement from {k: 2, b: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -22*z**3 + 7*z**2 - 275*z - 564. Give q(-2).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35886.\nAnswer: 2, 3, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 113 is divided by 44?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4768 - -4777. What is the highest common factor of 249 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 103 is divided by ((-203)\/(-2))\/(-7)*(-16 - -14)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -273*g + 1417*g = 37752 for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -1819*q**2 + 96*q - 4632. Let f(m) = -3636*m**2 + 160*m - 9263. Let o(n) = 3*f(n) - 5*x(n). What is the first derivative of o(h) wrt h?\nAnswer: -3626*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f - 3*z - 3 = 0, 0*f - 3*f + 4*z + 237 = 233 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*x**5 + 0*x**5 - x**5 + (-x**2 + x**2 - 2*x**4)*(1 - 2*x - 1) - 317*x**5 - 2398*x**5 + 274*x**5.\nAnswer: -2438*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in -2\/11, 9, 0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*l + 11105 = -12115. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 66 divide 516963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 5 - 402*d - 257 - d. Is q(-17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 5, u: 1, y: 10, i: 1}. Give prob of picking 1 i and 3 v.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d - 44 = 6*t + 6, 2*d + 753*t - 1385 + 1380 = 752*t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i + 4 = 0, -25*t + 22*t + 4*i = 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 6*((sqrt(1008) - (sqrt(1008) - (sqrt(1008) + -1))) + -1) + -5.\nAnswer: -12 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 333 - -11b17?\nAnswer: 1214a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 76794 is divided by 1669?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tq when two letters picked without replacement from qqtttqttttqq?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from inniiiii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(1\/4))**(2\/131)*(p\/(p\/p**(2\/13)))\/((p*p**(1\/5)*p)\/p) assuming p is positive.\nAnswer: p**(-17751\/17030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 17742 - 53227\/3. Sort -2\/9, d, 2\/7, 0.441.\nAnswer: d, -2\/9, 2\/7, 0.441","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -95*p - 14. Let n(c) = 1117*c + 153. Give -23*l(u) - 2*n(u).\nAnswer: -49*u + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 50936229?\nAnswer: 3, 1886527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 37395 - 12645. List the prime factors of p.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((-1*((1*sqrt(165))\/sqrt(5) + sqrt(33)))\/(-2*(sqrt(539) + (sqrt(539)*2 - sqrt(539)) - sqrt(539)) - sqrt(539)) + 0).\nAnswer: 8*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-t + 5*t - 3*t)*(105 - 193 + 100 + (1 + 5 - 5)*(1 + 1 + 1)) to the form x*t + f and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 208692 divided by -51\nAnswer: -4092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -25185 - -25177. What is the fifth smallest value in -143, 1\/3, 0.2, j, -2\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1089618, -2179234, -3268850, -4358466?\n\"Answer: -1089616*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (-3 + sqrt(243))*-6)**2 - (-4 + (sqrt(243) - (-5 + sqrt(243))) + -1)**2.\nAnswer: -2052*sqrt(3) + 9109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 19*u**2 - 5*u - 25. What are the prime factors of y(11)?\nAnswer: 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2304 divided by -64?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -5*r + r. Solve 0 = 3*h + r*a + 12 + 17, 2*h - a + 2 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 29790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1836 by -459.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**2 + 5. Let r be l(5). Let q = 29 + r. Let m = q - 2. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -15*q. Let j(i) = -i**3 - i**2 + 1. Let h be j(1). What is the remainder when x(h) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -536365, -536364, -536363?\nAnswer: -536362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9 + 15. Suppose -42 = 4*d - c*d - 3*a, -3*a - 84 = -4*d. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2421395\/8 bigger than 302675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 6 from 3176.593.\nAnswer: 3170.593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -82*l**3*r + 62*l**3 + 2*l**2 + 17410*l*r wrt l?\nAnswer: -492*r + 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 30682162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-754)\/104 + 7)\/(-1*20\/16).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 8 = -8. What is the tens digit of (-9 + w\/4)*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1074435 is divided by 2115.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3\/10502 or -4?\nAnswer: -3\/10502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 322*f + 218. Let n be c(7). Suppose -2*q + 4*u = -n, -28*q + 24*q + 3*u = -4934. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*c**3 + 3*c**3 + 1226*c - 2710*c**4 + 2684*c**4 - 3 + c**2 - 1224*c in the form u*c**4 + d*c**3 + r*c + t*c**2 + v and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5, -1\/4, -4, -5\/2012, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -5*k - 1. Let m be ((-2)\/(-8) + 17\/204)*45. Let i be (-14)\/(-35) + 24\/m. Suppose -i = 4*a + 6. What is y(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 150884?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2564)\/(-12820))\/((-2)\/410)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 925*z - 19*z - 2 + 864*z.\nAnswer: 1770*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.16733 and 1.\nAnswer: -0.16733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 3*x**2 - x + 2. Let l be y(1). Let f(p) be the second derivative of -1\/16*p**l + 1\/4*p**3 - 3*p + 0 - 3\/8*p**2. Factor f(k).\nAnswer: -3*(k - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 831935441 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3\/(-15) - 0)\/(6\/24). Let s = -1.3 + -1.7. Let n = -4 - s. Which is the nearest to n?  (a) 0.5  (b) -3  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 175*t + 180*t + 174*t - 557 + 177*t - 704*t to w + m*t and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 711 (base 11) to base 4.\nAnswer: 31123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from amaaavrra. What is prob of sequence ra?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 4*n**2 - 1. Let c be x(1). Suppose 0 = c*h + o - 25, 4*h + 2*o - 49 = -17. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*n**5*z + 2097*n**2*z**2 + 4*n*z**2 - 3*z**2 - z wrt n.\nAnswer: 40*n**3*z + 4194*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1104, -1102, -1098, -1092, -1084, -1074?\nAnswer: -1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -2*t**3 - 64*t**2 - 2*t - 40. Determine w(-32).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8*4\/32*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 - 5 + 1)*(2 - 2 + 1)*(3 - 3 - 5) + 3 - 3 + 4)*(-3*o**2 + o**2 + 0*o**2).\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a kilometer in meters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((l + 1 - 1)*(3*l**2 - l**2 - l**2) - 2*l**3 + 15*l**3 + 3*l**3)*(26 - 12 + 27)*(-4*l - 3*l + 2*l).\nAnswer: -3485*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 49*s - 48*s + 2, -4*b + 4*s = 12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 191 minutes before 7:52 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**3 + 10*a**2 - 3*a - 16. Give s(6).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 45235847*a**3 + 347*a**2 + 27576*a + 2 wrt a?\nAnswer: 271415082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g - 3 = 3*u, 0 = 5*u + g + 2*g + 16 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 276\/(-12)*(-35)\/1 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 - 17. Let b(s) = -s**3 - 7*s**2 + 9*s + 6. Let u be b(h). Is 14\/4*u*-29 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rxwa when four letters picked without replacement from {r: 2, a: 1, w: 2, x: 4}.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 144440, 144442, 144454, 144482, 144532, 144610?\n\"Answer: z**3 - z**2 - 2*z + 144442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 792 - 6?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 2*o**3 - 4*o**2 - 2*o + 2. Give h(4).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6\/(-18) + 34\/(-6). Let j be (b\/12)\/(1\/(-2)). What are the prime factors of -70*(-4)\/8 + j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hb when two letters picked without replacement from kcmkmkhhhmmmkiccb?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t - 3. Suppose -4*o + 20 = 2*l - 6*l, 0 = 3*o + 3*l - 9. Give k(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 27952 and 66386.\nAnswer: 531088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -219  (b) -0.1  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7207*z - 56 = 7193*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3905807213 to the nearest integer?\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2990*w**2 - 2677 with respect to w.\nAnswer: -5980*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that p**2\/3 + 5*p\/3 - 50\/3 = 0.\nAnswer: -10, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes before 9:29 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, -1\/5, -2\/9, -6, 52, -4 in ascending order.\nAnswer: -6, -4, -2\/3, -2\/9, -1\/5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 + 2 = -4*t. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-3)\/(15\/8))\/((-16)\/40). What is the nearest to d in -0.1, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 79 - 72. Solve 4*t + 13 + s = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -j*v**2 + 57532*j*v - 4*j + 88*v**2 - 4*v + 7753141 wrt v.\nAnswer: -2*j*v + 57532*j + 176*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 249335930 to the nearest 1000000.\nAnswer: 249000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -129*u**6*z - 3*u**3*z + 53*u**2*z - 4*u*z wrt u?\nAnswer: -15480*u**3*z - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 643142452 + 2?\nAnswer: 643142454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -279*q. Let j(w) = 22*w**2. Calculate j(t(v)).\nAnswer: 1712502*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(475) + -6*(sqrt(475) + -1))**2 + (sqrt(57)\/sqrt(3) + -4 + 0)**2 + -2.\nAnswer: -1208*sqrt(19) + 47677","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 1)*(0*k + 3*k - 4*k)*(42*k**3 - 30*k**4 - 33*k**3 - 4*k**3).\nAnswer: -30*k**5 + 5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -15*(-8 + 1160\/(-24)).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 401449.999912 + -401468. Let h = 10 + -28. Let n = h - w. What is n rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 178832 to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6898 - 6886. Solve -b*i + 14*i + 6 = 0, 3*i = 2*j - 21 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((y\/y**8)\/y)\/y*y*y**(-5\/2))**9)**(13\/2) assuming y is positive.\nAnswer: y**(-2457\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v + 3*v + 12 = -3*m, 0 = 5*v - 4*m - 16 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1\/6))**26)**(-10\/9) assuming y is positive.\nAnswer: y**(130\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -65\/9 and 54\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 583*x**3 - x**2 - 8*x - 2. Let g(u) = -580*u**3 + u**2 + 9*u + 2. Determine -8*g(v) - 9*w(v).\nAnswer: -607*v**3 + v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 353226652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the third derivative of v**8\/392 - v**6\/35 + v**2 - 10. Find n, given that u(n) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 672 and 6993?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -124*(-3)\/(-42)*(-27)\/(-6). Let w = j - -40. Solve -4\/7 - w*k**3 + 0*k + 3\/7*k**2 = 0 for k.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -27*d + 4*h + 12, -2*d + 18 - 9 = -3*h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 2*y**2 + y - 1. Let f be d(2). Suppose o + 15 = 3*h, 0 = -0*o + 3*o - f. 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 k be -8 - 34\/17 - -16. Let d(v) = 2*v**3 - 9*v**2 - 17*v - 6. Determine d(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (25 - (9 + 6 - 9 - -99)) + -5?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 492\/9 - 224\/(-168) - -13.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7510 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that -j**5\/5 - 83*j**4\/5 + 208*j**3\/5 + 23492*j**2\/5 - 23616*j\/5 = 0.\nAnswer: -82, -18, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -19*a - 80 + 425 - 155 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes before 2:49 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*h - 6 + 6 + 3*h - 2*h + 0*h + (-3 + 3 + 1)*(-3*h + h + 4*h) + h + 3*h - 3*h + h - 2*h + 3*h - 2*h - 3*h + 3*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -569, -1201, -1833?\n\"Answer: -632*q + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1515\/2 + -6051\/8. Find the common denominator of f and -45\/704.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the first derivative of -31*r**3\/3 + 39*r**2\/2 + 10. What is the second derivative of b(o) wrt o?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 4*n - 17, -3*o - 11 = -2*o - 3*n. Calculate the greatest common factor of 2 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 531*l*u*w + l*w - 350*w wrt u.\nAnswer: 531*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*x**2*y**4 + 340*x**2 - 15011*x*y**4 - 17*x*y**3 - 7*x*y**2 + 54*x + y**2 wrt y?\nAnswer: 96*x**2*y - 360264*x*y - 102*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 14, 2, 0.2, -3, -336?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.25 - -0.05. What is the closest to q in -0.5, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -495 divided by -4\nAnswer: 495\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2251451.\nAnswer: 2251451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -17*d**2 + 12*d - 8. Let f(o) = -510*o**2 + 357*o - 238. Let c(h) = -4*f(h) + 119*m(h). Let n(g) = -7*g**2. Determine c(n(z)).\nAnswer: 833*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o + 14. Let v = 8 + o. What is the nearest to v in -3\/2, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -79\/5 or 0.27?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(5500) - (sqrt(495)\/sqrt(225) + sqrt(55)))\/((sqrt(99) - (6*-1*sqrt(99) - sqrt(99)))\/(sqrt(9)*-2*4)).\nAnswer: 56*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4*(-6 - (-207)\/18). Suppose 250 = -20*d + g*d. What is the remainder when d is divided by 44?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 9877, 26, 0.4 in descending order.\nAnswer: 9877, 26, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1 - -2*(-2)\/4. Suppose b = -3*z - 3, 5*j - 9*z + 5*z = 54. Let o(f) = f**2 + 7*f + 7. Calculate the smallest common multiple of j and o(-7).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 + 17 + -14 - -20 - 27.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -37 (base 10) in base 9?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 167 and 205577?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.492757884 rounded to 3 decimal places?\nAnswer: -1.493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1.86892 and 6.95.\nAnswer: 8.81892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:59 PM and 3:05 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 + (-49 - -80) + 1 + 6.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/(-3)*(-6)\/(-26). Let h = -3 + -1. What is the nearest to 0.1 in h, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -2\/125, 1, -31, 0, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 6*n**2 - 208*n + 3342. What is f(15)?\nAnswer: 1572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8100836.\nAnswer: 2, 67, 167, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1276 divided by 638.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -15 + 14. Let n be z\/(-2 - 7\/(-4)). What is the units digit of n + (0 - -60 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 3*q**2 + 41*q - 4. Does 10 divide l(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 1)*(-12*q - 5*q**3 + 12*q)*(0*q + 3*q + q)*(-q - 3 + 3).\nAnswer: -40*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Let a = 141 + -82. What is the remainder when 114 is divided by a?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -12*k - 46. Let o be y(-4). Solve 4*j = m + 1, 3*m - o = -j + 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -81, 10 in ascending order.\nAnswer: -81, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 2*y**2 - 15*y + 16. What is the remainder when 14 is divided by h(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes before 2:54 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -128 divided by 1810332\nAnswer: -32\/452583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -3133, -3140, -3151, -3166?\n\"Answer: -2*h**2 - h - 3130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 370 * -1520.6.\nAnswer: -562622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -457566 minus -7?\nAnswer: -457559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 963?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12 - 114) + 35 - -107.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -2*m. Let j(d) = -d. Let a(x) = 5*j(x) - 3*y(x). Let p(s) = -10 + 10 - 17*s**2 + 19*s**2. Determine p(a(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -5  (b) -0.1  (c) 4  (d) -9  (e) -25.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in u**2 + 8*u - 2*u + 2*u**2.\nAnswer: 3*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the first derivative of 2*z**3\/3 - 109*z**2\/2 - 49*z - 1998. Give b(55).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 320931383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*5.31994\nAnswer: 2.127976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 37515, 34, 3.\nAnswer: 3, 34, 37515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-60))\/((-228)\/3648)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*l - 19606 = -48*l - 2*t, 2*l + t - 7842 = 0. Is l a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 - -11. Solve 0 = 4*g + 17 - t for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -3*x + 33, 2*m - 3*x - 21 = 9. Let f = m - 8. Let s(p) = 4 + f + 0 + p. What is s(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -81\/400 and 73\/440.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -g**4 + 6*g**3 + 11208*g**2 - 234880*g - 1118208 = 0.\nAnswer: -112, -4, 26, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -3*v. Let k = -15 + -2. Let d(b) = b - 5. Let l(t) = -3 + 3 + 1. Let n(u) = -d(u) - 5*l(u). Give k*n(m) + 6*p(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 16652 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 66 * -3614.\nAnswer: -238524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 824650 is divided by 271.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 158969 + -91051. What is the ten thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -v**4\/3 - 10*v**3\/3 + 17*v**2\/3 + 22*v = 0.\nAnswer: -11, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/28*-1*1036\/(-370)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -255*x**3 + 2*x**2 - 3*x + 24*x**2 + 262*x**3 + 13.\nAnswer: 7*x**3 + 26*x**2 - 3*x + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 9013.267ng?\nAnswer: 0.000009013267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -3*o - 17, 11*o = 8*o + 2*m - 31. Suppose 3*u + 12 = -u. Let k = u - o. Sort -5, 2, k in decreasing order.\nAnswer: k, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 - (-381 + 387)\/((-2)\/(-4)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -2*a + 2. Let f = 7 + -9. Let m(x) = -5*x - 67. Let s(u) = 9*u + 117. Let z(g) = -7*m(g) - 4*s(g). Calculate f*d(i) + 3*z(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from oviovvvviimiiivvvi?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -157*n = -430*n + 199*n - 1628 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -m + 7. Let d(a) = -22*a - 9 + 7*a + 16*a. Let t be d(m). Solve -s = 4*u + 13, -s + t*u = s - 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4043, -2801, -1569, -353, 841, 2007, 3139, 4231?\nAnswer: 5277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - 0. Let g = x + 4. Let r = 225\/88 + -19\/8. What is the second smallest value in -5, r, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 + 2*h - 4 + (h - 2*h - 12*h)*(-4 + 2 - 6) to the form s + x*h and give x.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -4*t**4\/3 - 33455*t**3\/3 + 142256*t**2\/3 = 0.\nAnswer: -8368, 0, 17\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -34914 or -2234479\/64?\nAnswer: -34914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**3 - 13*l**2 - 4*l + 10. Let k be t(-13). Suppose 0 = -z - 0*z + k. Is 20 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1473 divided by 3.\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/(2\/5 + 2\/(-10)). Let w be -4 - ((-63)\/12 + 1). What is the nearest to w in q, -1, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8 - 6. Suppose 550 = 2*l + 542. Calculate the smallest common multiple of j and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -746 - -859. Let a = 113.4 - r. What is the third smallest value in -5, -2, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**1)**21)**(-10\/11)*((c**1)**(4\/29))**(1\/4) assuming c is positive.\nAnswer: c**(-6079\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 78997, 152247, 225497, 298747?\nAnswer: 371997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 12*y**2 + 1170*y. Let r(f) = -5*f**2 - 587*f. What is -2*l(o) - 5*r(o)?\nAnswer: o**2 + 595*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 5*f = 24. What is the second derivative of -8*n - 3*n**3 + 2*n**3 + f*n wrt n?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2 - -5611?\nAnswer: 5607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes after 2:44 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -3*k + 3. Let z be t(-5). Suppose 2*m = -2*w + z, 0 = -2*m - 0*m. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 1, k: 2, u: 4, t: 1, y: 3}. What is prob of sequence tuku?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*r - 6*r + 13 - 4)*(3*r**2 - 6*r**2 + r**2).\nAnswer: -4*r**3 - 18*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1613164019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 600854 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, 0, -0.2, 0.064, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3*(4\/2 - 1). Suppose -x + 5*q = 0, 5*x + 13 = 3*q - 9. Put d, 4, x in decreasing order.\nAnswer: 4, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (5 - (-117)\/6)*8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -397 - -397. Suppose -a - 3*s + 34 = 0, -5*a - 2*s + 128 = -94. Suppose j = -2*n + 3*n - a. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 21*i**2 - 19*i - 31. Suppose -2*z + 3*h + 12 = 0, -h - 4 = -z + h. What is the remainder when d(-2) is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3.4, 6, 1.9451 in ascending order.\nAnswer: 1.9451, 3.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + sqrt(68) - sqrt(17)) + -2 + 2 + sqrt(17))**2.\nAnswer: 20*sqrt(17) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 483*w**5 + 10*w**2 - 12.\nAnswer: 28980*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 718964851 to the nearest 1000000.\nAnswer: 719000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*j**4 + 2*j**4 - j**4 + (-j - 6 + 6)*(j**3 - 7*j**3 + 3*j**3).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -5*k + 2051 + 87, -4*k = 4*g - 1736. Suppose 0 = 4*l + 2*u - k, 4 + 6 = 2*u. What are the prime factors of l?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 31 and 591511.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2232 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 42 + -36. Suppose 2*l = -5*s + 73, 5*s + m*l - 70 = l. What is the remainder when s is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1 + 256\/32 - (1 + -11). Let g(i) be the second derivative of -3\/2*i**3 + 0*i**2 - k*i + 0. Let o(q) = -q**2. Calculate o(g(b)).\nAnswer: -81*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3 + 2)*(-z + 5*z - z + 0*z + 0*z + z - z - z - 2*z + (-1 - 3 + 2)*(4 - 3*z - 4))*(-4*z - 3 + 3).\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 3*h**2 - 204*h + 241. Let o be a(67). Let q(p) = 2*p**2 - 4*p - 6. Let s be q(6). Let k = s - o. Solve 6*d = 2*d + 5*j - k, 0 = 3*d + j + 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 28 = -20. Let x(s) = -2015*s**2 + 30 + 1269*s**2 - 3*s - 6. Let d be x(k). What is d rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*l = 19 - 59. What is the second derivative of -7*z**2 + 88*z - 76*z**l + 1441 - 48*z**2 - 722 - 718 wrt z?\nAnswer: -262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vhcchcvvvchvvhuvvuv.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = 8 + 117. What is the common denominator of (m\/(-9))\/((-9)\/27) and ((-1)\/15)\/((-16)\/(-520))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 2 c, and 1 q when four letters picked without replacement from {e: 1, q: 1, n: 1, c: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 68382 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*s + s + 0*s + 0*s + s + 0*s + (1 - 2 + 3)*(0*s + s - 3*s) + (-689 - 3227 + 1129 - 3387)*(2*s + 2 - 2) in the form p*s + x and give p.\nAnswer: -12350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 2992, 2794, 2472, 2032, 1480?\n\"Answer: m**3 - 68*m**2 - m + 3060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5526*y**3 - 5*y**2 - 126*y + 186?\nAnswer: 33156*y - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -0.0369 * 0.4\nAnswer: -0.01476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -5*y + 4. Suppose 30 - 6 = h + 2*l, -50 = -2*h - y*l. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -38 + 37.8. What is the second biggest value in q, -3\/5, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -5*a, 0*t - 4*a + 1452 = 2*t. Suppose 7*v - 344 = t. Let u = 75 - 53. Calculate the greatest common divisor of u and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 - 1)*(-4 + 4 - u**2) + (6 - 2*u - 6)*(2 - 2 + u)*((0 - 7 + 3)*(4 - 4 + 2) - 4 - 3 - 2).\nAnswer: 37*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5754?\nAnswer: 2, 3, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 43680215, 87360431, 131040647, 174720863, 218401079?\nAnswer: 262081295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1311 divided by -437?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -19*d - 9. Suppose 12 = -p + 1. Let z(g) = 10*g + 5. Suppose -19*a - 6 = -14*a + 3*n, -3*n = 4*a. Determine a*t(l) + p*z(l).\nAnswer: 4*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 102*c + 57. Let r be p(-14). Let i = 1976 + r. What are the prime factors of i?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h + 6*r + 48 = 0, 1263*h - 5*r = 1261*h + 37 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -177*g + 40 - 83 - 665 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*2*-1*sqrt(132)\/(sqrt(768) - 2*sqrt(768)))**2*4.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express f**2 + 166 - 98 - 2*f + 3*f in the form n + p*f**2 + w*f and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54 = -4*i + 182. Solve -2*o = -0*z + 2*z - 2, 3*z + i = 4*o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**2 + 3*f - 3. Determine a(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2603 + 4144. Is 22 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 - 5)*(-3 + q + 3)*(-q - 5 + 5 + (q + 2*q + 0*q)*(1 + 3 - 3))*(-q - q + 0*q)*(-8*q - 2*q - 11*q).\nAnswer: -252*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the second derivative of 161*i + 0 - 1\/4*i**4 + 3\/2*i**2 - 1\/24*i**3 + 1\/80*i**5. Factor x(w).\nAnswer: (w - 12)*(w - 1)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.1599936 + 0.16. Round i to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (1 - (-95)\/(-2))\/((-26)\/156) is divided by 57?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -83*t + 78*t = -2*d + 13, 5 = 2*d + 3*t. Solve -14 = -2*g - 3*z, -z + d*z = 4*g - 10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a century in months?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:02 PM and 11:57 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 61390673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 - -1868624.08709.\nAnswer: 1868624.48709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7.332874l?\nAnswer: 7332.874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 3*l - 13 = 0, -3*l = -4*r - l + 14. What is the units digit of (-610)\/(-12) - (-4)\/(r - -22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, i: 1}. Give prob of sequence ir.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**4\/7 + 2860*n**3\/7 - 1022450*n**2\/7.\nAnswer: -2*n**2*(n - 715)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 48*v**3 + 5*v**2 - 17*v. Let l(n) = -47*n**3 - 4*n**2 + 16*n. Let m(o) = -4*h(o) - 5*l(o). What is the second derivative of m(j) wrt j?\nAnswer: 258*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 117*u. Let f(b) = -143 - 140 + 423 - 5*b - 140. Calculate r(f(s)).\nAnswer: -585*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-240)\/(-25))\/6*40?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11093289*y + 4526723*y - 14084307*y.\nAnswer: -20650873*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -22, -27, -20, 5, 54, 133?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 2:45 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -2*r - 1. Let m(q) = 137*q - 68*q + 8 - 3 - 70*q - 6. Calculate 4*b(w) - 5*m(w).\nAnswer: -3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 160138, 320278, 480428, 640594, 800782, 960998, 1121248?\nAnswer: 1281538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -32?  (a) -34  (b) 0  (c) -2\/11  (d) 0.2  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 48\/(-72)*-6*1*15\/(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert a7 (base 11) to base 8.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -5*z + 110, 2*z - s = 2 + 49. Solve p + z = 4*w, -2*p + 5*p - w + 14 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 931 - 386 - 541 - 2*w. Let i(s) = s - 2. Give -10*i(x) - 4*q(x).\nAnswer: -2*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**4\/2 - 113105*n**3\/2 + 3198354907*n**2\/2 - 9594046803*n\/2.\nAnswer: n*(n - 56551)**2*(n - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -3\/1371521  (b) -3\/2  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -2*v**2. Let g(o) = -12*o + 13*o - 1 - 4*o. Determine g(i(s)).\nAnswer: 6*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 o when two letters picked without replacement from {y: 1, x: 1, z: 1, u: 1, r: 1, o: 6}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*v + 2*u - 10, 4*v - u = 21. Calculate the least common multiple of 24 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/6, -1\/4, 393.7.\nAnswer: -1\/4, 1\/6, 393.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26145?\nAnswer: 3, 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 179 + -6203.8.\nAnswer: -6024.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 14 + -20. Let y = -8 - j. Let l = -4 + 3. Which is the nearest to 1?  (a) l  (b) y  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11 + 14. Let r be 2\/u - (-1077)\/(-18). Let b = r - -59. Is b not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 206*t - 19. What is the tens digit of v(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -119975687.3 rounded to the nearest 100000?\nAnswer: -120000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzzzzlzzllzzzzzzzl. What is prob of sequence zlzz?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2472645*t**3 + 14232114*t wrt t.\nAnswer: -14835870*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 278 - 11f64?\nAnswer: -11cec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes after 8:56 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -0.5  (b) 3  (c) 62  (d) 1\/16  (e) 251  (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 8\/(-44) - 22383\/11. Which is smaller: -2033 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -20338\/299079 + 2\/3021. What is the common denominator of g and 145\/378?\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 12\/35939  (b) -218  (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 129564438?\nAnswer: 2, 3, 31, 307, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 296, 294, 290, 284, 276, 266?\n\"Answer: -j**2 + j + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -45*g**2 - 588*g - 10. Calculate a(-13).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 3*y - 6*y, 2*c = -4*y + 21150. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1436030000 rounded to the nearest 1000000?\nAnswer: -1436000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -43 + 23 - 193*o**2 + 19 to the form z + m*o**2 + t*o and give m.\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/(2 + -1)*(-512 + -9). Let a = 928 + u. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 39799*k**3 - 7*k**2 - 19*k + 52. Let w be s(4). What is w rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes before 11:19 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-30)\/(-4))\/(9\/12) - -1. Let i = -180 + 102. Let r = i - -199. Calculate the greatest common divisor of r and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.897162 rounded to 2 decimal places?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 252 + 5236. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -58 + 60. Suppose -z*u - 3*u = -10. Suppose -u*k + 148 = 22. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 46, 102, 178, 280, 414?\n\"Answer: n**3 + 4*n**2 + 37*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:02 PM and 5:48 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 500290 divided by 14.\nAnswer: 35735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes after 4:59 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 6 - (-11 + 12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13164 - -263349\/20. Calculate the common denominator of -7\/4 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72 = -0*b + 2*b - 4*c, -5*b + 3*c + 194 = 0. Suppose a - 31 = b. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2262 divided by -13?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*f - 3*f - 2907 = 0. Let x = f - 284. Let w(b) = 153*b - 1. Calculate the remainder when w(1) is divided by x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = 3*m - 0*m - 11, 4*m = 2*f. Suppose -4*o - 2 = f. Which is greater: o or -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f. Let v(l) = -3*l + 7. Calculate -4*p(k) - v(k).\nAnswer: -k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 30 and 19155.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 995809.9 kilograms?\nAnswer: 995809900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**3 - 7*a**2 - 24*a + 66. Determine g(8).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r + 34 = -62*y + 60*y, 0 = -5*r + 5*y + 110 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 185 - (0 + 4) - 3 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from nkkknkkknkknkk?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*t - 2617 = -2627 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 36 = -20, 29 = 3*o - 2*a. Suppose o*z + 10 = -11. Let t(d) = -11 - 7*d + 11. Determine t(z).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 6}. Give prob of picking 2 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.26 - 7.7. Let s = -12 - m. What is s rounded to one dp?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*c**4*j - 23157*c**3*j**3 + 40563*j**3 wrt c?\nAnswer: -8*c**3*j - 69471*c**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 2 y when four letters picked without replacement from mwmwymywzyuuymmymym.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1275*u - 45197 = -932*u + 65153 for u.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence euzm when four letters picked without replacement from {e: 6, z: 1, u: 3, m: 1, a: 1}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(-12 + 15)*(18\/10 + -1).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -167*t**2 - 937*t + 392. Determine c(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is b in -295*b**2 - b**3 - b**3 - 239*b**2 + 460 + 0*b**3 + 486*b + 558*b**2 = 0?\nAnswer: -10, -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -58 + 24. Let u = 39 + z. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -105 * -5779.34\nAnswer: 606830.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 133\/3396 and -103\/174?\nAnswer: 98484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = 3*c - 4*k, c + k = -5 + 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0233 + 15646495615.2?\nAnswer: 15646495615.2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 89*j**2 + 268*j - 2129. What is the hundreds digit of i(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*g = -7*g + 135. Solve t = 2*w + g, 4*w = 3*w - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -174067 times 431?\nAnswer: -75022877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4 - 0\/(0 + 1)*-1. Suppose 9*i + 4*j - 4100000 = 4*i, q*j = i - 820000. What is i rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -157977*h + 3*h**2 + 79228*h + 78749*h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g*g**(9\/10)*(g*g**(1\/2))\/g*(g\/(g\/g**4))**8 assuming g is positive.\nAnswer: g**(172\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 180*r + 7272 + 1908 = 0 for r.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-625)\/(-150) - 1\/6. Let l be -2 + 53 + (d + -4 - 3). Are 47 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15, 23, 29, 33, 35, 35, 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 428950 rounded to the nearest 1000?\nAnswer: 429000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 8819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -70*l - 243 + 873. Solve 2*b - l*b = 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 3*s. Let j(i) = 5596*i + 2. Give j(p(l)).\nAnswer: 16788*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*-13 - (-19812)\/(-546)*(-84)\/(-24)?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -4*j**3 + 24*j**2 - 13*j + 67. Determine p(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 2504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 421537 and 237795.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26 - 0 - (-127 - -148).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -2*h + 2, -3*r - 4 = -4*h - 4*r. Suppose 4*d = d + 15. Let z = h + d. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2013 a factor of 899088217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 42572610.\nAnswer: -1\/42572610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18 - (0 + 1 + 0)) + -651 + 659 - -31.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13055, -13074, -13075, -13046, -12975?\nAnswer: -12850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -8173, -15955, -23347, -30349, -36961?\n\"Answer: 195*k**2 - 8367*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 307218 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: Let k(v) = 2*v**2 - 3*v - 4. Let y = -6 + 5. Let i(r) = -14*r**3 - r**2 - r. What is the remainder when i(y) is divided by k(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:36 AM and 11:29 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 + -698950a?\nAnswer: -6989508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -5, 21 in ascending order.\nAnswer: -5, -3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -4*h + 6. Let u be o(4). Let f = -3 - u. Solve -v + 2*c = 3, -3*c = f*v - 2*v - 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 38, 0, 59, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 minutes before 3:59 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1017, 1044, 1071, 1098, 1125?\n\"Answer: 27*w + 990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 433 + 26. Let x = -459.5 + o. Let l = 6.8 + -7. What is the third biggest value in l, -2\/25, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/((-40)\/(-5))*-24.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**3 - 43*z**2 - 430*z - 1200.\nAnswer: -(z + 5)*(z + 8)*(z + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*n + 10*x + 38 = -6*n, 0 = 4*n + 5*x + 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14193.\nAnswer: 3, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16\/128*-48 + 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tee when three letters picked without replacement from {d: 1, k: 2, e: 9, x: 5, t: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jbb when three letters picked without replacement from dbdbkdddzjkdbkj.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1837959932 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42304?\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -60?  (a) -16  (b) 2\/23  (c) 4  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u**2 + 5*u + 10. Let z be w(7). Let s be (-3)\/(-2*z\/(-48)). Let c be 4\/s*(-12)\/(-16). Is c > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -71358*m = -71393*m - 595 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 57640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2325.1 * 7185.\nAnswer: -16705843.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q - 19 - 6. Suppose j = 4*p - q - 4, -5*j = 5. Find the third derivative of -s**6 + 5 - 5 - p*s**2 wrt s.\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (6\/1)\/1*(-209)\/(-66). Suppose -4391 = -n*z + 4596. List the prime factors of z.\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -13, 6 in ascending order.\nAnswer: -13, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -36753\/2 - -7681437\/418. Let r = f + -1\/11. Is 0 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/(1170\/(-1830))*3?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 6*c**2 - 34*c - 10. Let y(x) = -5*x**2 + 30*x + 9. Let z(q) = 6*l(q) + 7*y(q). Determine z(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the second derivative of -223*u**4\/12 - 63*u**3\/2 - u - 2. Find the second derivative of m(c) wrt c.\nAnswer: -446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes after 6:56 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 4, -2169 in ascending order.\nAnswer: -2169, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16 and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 53*v + 710. Let x(o) = -13*o - 181. Calculate 3*b(k) + 11*x(k).\nAnswer: 16*k + 139","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32926.\nAnswer: 2, 101, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:22 AM and 9:09 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*m = 14*m + 319. Let y = -309 + m. What is the highest common factor of y and 320?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1159 - 2041 + 1291)*(-11*i**5 - 9*i**5 - 4*i**5) - 4*i**5 + 0*i**5 + 3*i**5.\nAnswer: -9817*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.6, -19\/12, 0.1, 1?\nAnswer: -19\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 10, v: 9}. Give prob of picking 1 v and 1 y.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 661 a factor of 109065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 6 - 44 - 20 - 55 - 4*h. Give f(-27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 115\/186 - -3\/62. Let 7\/3*i**4 - 3*i**3 + 0*i + o*i**2 + 0 = 0. What is i?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 186651543 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 125978856, 125978851, 125978844, 125978835, 125978824?\n\"Answer: -m**2 - 2*m + 125978859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m + 4*h - 165 = -177, -2*m + 544*h - 1644 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -2*x - 220. What is the greatest common divisor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand r + 9*r - 3*r + 1 - r - 1 - 2 + 2 - 2*r - 5 + 5 - 2*r + (-2 - 4 + 5)*(-r + 2*r + 0*r) + (2 - 5 - 1)*(5*r - 2*r - r)*(-1 + 0 + 2).\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-23 - (-63)\/7) + (-2)\/1. What is the hundreds digit of ((-2499)\/28)\/(((-6)\/w)\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101 (base 3) to base 12.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7 and 2753861.\nAnswer: 19277027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in fourty-eight fifths of a centimeter?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3520402619?\nAnswer: 17, 59, 3509873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 2*x**3 - 4*x - 2. Let r be w(3). Suppose 0 = -4*h + 4*i, -5*i + 3*i + 1 = -h. Suppose -51 = -5*z - h. What is the greatest common factor of z and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16371602 divided by 564538.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -108021*o**3 + 54012*o**3 + 54007*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -771*j = -6092 + 3377 - 16560 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 4*l - 10. Let m(a) = -27*a + 50. Let b(f) = 9*f - 17. Let z(d) = 7*b(d) + 2*m(d). Let h(p) = -7*n(p) + 3*z(p). What is h(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: aa11a (base 12) to base 16\nAnswer: 36e26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -35, 2598, 2, 7, -4 in decreasing order.\nAnswer: 2598, 7, 2, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve l**5\/4 + 23*l**4\/4 + 57*l**3\/2 + 53*l**2 + 34*l = 0 for l.\nAnswer: -17, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -4*h. Let g(x) be the first derivative of -2*x**3 - 8 + 2 + 3*x**3. Determine g(t(v)).\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1+7.7553\nAnswer: 8.7553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7720326 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (57 - -1)*(-3)\/(-6). Suppose -44 = -2*f - 4*c, -3*f + c = -f - z. Let g = 1891 - 1861. What is the remainder when g is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -2*k**2 - 6*k + 5. Calculate r(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2800 - 51*v**2 + 49*v**2 - 2800 + 1298*v - 27*v**3 wrt v.\nAnswer: -162*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 908.99 plus 0.027677796?\nAnswer: 909.017677796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -958 + 1000. Calculate the lowest common multiple of 553 and n.\nAnswer: 3318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5772 or 359?\nAnswer: 5772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 1786 divided by 2\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 1 u, and 2 m when four letters picked without replacement from {m: 3, u: 2, z: 4}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 + -10. Let s(y) = 2*y + 24. Let j be s(l). Let t(n) = -4*n + n**2 - 2 - 1 + 2*n. Calculate t(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(190)\/sqrt(90) - (-3 + sqrt(2736)) - ((sqrt(475) - (sqrt(475) + (sqrt(475) - (sqrt(475) + 1*(sqrt(475) - (sqrt(475)*2 - sqrt(475))))))**2) + 0).\nAnswer: -50*sqrt(19)\/3 + 478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1458 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -647 - -752. Is y a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the second derivative of a**6\/120 + a**5\/120 - a**4\/12 - 5*a**3\/3 - 8*a. Let j(w) be the second derivative of s(w). List the prime factors of j(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2708571 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*f**2\/5 + 13*f - 14\/5 = 0. Calculate f.\nAnswer: 2\/9, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 140646 is divided by 51?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f - 6624 = 442*f - 26*f for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.56742438 rounded to four dps?\nAnswer: -0.5674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 1\/3  (b) 3  (c) -17  (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000027117301 to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*v + 3 - 3)*(0 - 1 + 14*v + 2) in the form j + z*v + s*v**2 and give s.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 27 + -9. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/(-6) + 4994\/132. What is the first derivative of 32*f - 37*f - 54 + 34*f + g*f wrt f?\nAnswer: 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 + 3)*(157*p - 158*p + 29*p**5 - 9*p**5 + 7*p**4).\nAnswer: 40*p**5 + 14*p**4 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -38 + 79\/2. Let h(r) be the first derivative of -j*r**2 + 2*r + 1. Differentiate h(m) with respect to m.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llllllclt. What is prob of sequence tlll?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 12.8339*-1\nAnswer: -12.8339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -38, 3, -4 in increasing order.\nAnswer: -38, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1350 by 2.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-20)\/w*w**36 assuming w is positive.\nAnswer: w**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 2*y = 134, 23 = 4*a - 3*a - 4*y. Is 24 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -2*x**2 - 25*x + 48. Determine c(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*v**2 - 21*v**2 - 1 + 0*v**2 + 1.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -236*p + 159 = -824*p - 5721 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7 and 525?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, -1, 105, -5, 5, 4.\nAnswer: -12, -5, -1, 4, 5, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/17, -569.43, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes before 1:02 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8.53 + 40183081.\nAnswer: 40183089.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qaiqq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(98) - sqrt(98)) + -1 + 4 - (sqrt(1620) - sqrt(1620)*2)\/(sqrt(10) + 2*sqrt(20)\/sqrt(2)))**2.\nAnswer: 6*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**3 + 22*n**2 + 41*n + 27. Let j be m(-20). Let y(d) = 5*d + 1. What is y(j)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -i + 12, -42*p = -40*p - 2*i - 8. Which is smaller: 9 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3\/10 of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + 0 - (11 - (-12 - -20)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*y - 3*o = -17*y, 3*o + 21 = 2*y. What is the third smallest value in 0.3, -2.3, -1, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from vmjnvfmmnuuunffm?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3819691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -57*p**2 - 94*p**3 + 43*p**2 - p**6 - 337*p**3 - 9*p wrt p.\nAnswer: -120*p**3 - 2586","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the third derivative of -u**6\/180 + u**5\/90 - 3*u**2. Find w, given that k(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) -68\/61  (c) -2\/69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -45, -183, -413, -735, -1149, -1655, -2253?\nAnswer: -2943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, c: 1, t: 2, h: 4}. Give prob of sequence toc.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -87\/10 and 53\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-3\/5)*x*x**(5\/6) assuming x is positive.\nAnswer: x**(37\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**2 + 24*n - 47. Let x be j(2). Suppose x*f = 19094 + 16661. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1049.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z - 7. Let h(l) = -8*l - 3. Let g be h(-5). Let w = -25 + g. Let d be b(w). Solve -v - 1 = -3*r, -d*v - 3*r - 37 + 14 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-1)\/(-2))\/(1\/(-2)) - 5. Let w = -92 + 92. Which is the second smallest value?  (a) t  (b) 0.4  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1117 - -30. Is 2\/1 - 3 - (n - -7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 131 divide 3136464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 2*m - 10. Let i be g(6). Suppose -3*q - 15 = j - 4*j, 1 = -3*j - q. Which is bigger: j or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.88 - 0.78. Which is the closest to -6?  (a) 0.5  (b) 2  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-672)\/(-49))\/12*-7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 21*u**2 - 9*u + 6. Let z be y(1). Let n be z\/99 - (-656)\/264. What is p in n*p**3 + 2\/3*p**5 - 4\/3 - 4\/3*p**2 + 8\/3*p**4 - 10\/3*p = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1241*b + 1240*b + z + 2 = 0, -2 = -3*b - z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -184 - -189. Suppose -3 = -4*u + 5. What is the smallest common multiple of (4\/u)\/(16\/72) and b?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 359401568446 and 0.286?\nAnswer: 359401568445.714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) 0.4  (c) -7\/5  (d) 1  (e) -5  (f) -0.02  (g) -22\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 495685 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 92 - 86. Suppose -d*w + 9*w + 12 = 0. Let x(r) = -4*r - 3. Calculate x(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -52840, -105683, -158526, -211369, -264212?\n\"Answer: -52843*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 8752 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1862)*-1 + sqrt(1862) - sqrt(1862))*1 + sqrt(1862))\/(sqrt(20)\/(-1*sqrt(640))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 2 + 11 = 4*h, h + 2 = 4*u. Let r(n) = -n**3 + 5*n**2 - 4*n. Let d be r(4). Sort d, 5, h in increasing order.\nAnswer: d, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1125 - 832. Let t = 308 - r. Solve -8*b + t = -3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1343, 6, 19, -1 in ascending order.\nAnswer: -1, 6, 19, 1343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/8 + (-49)\/(-56). Let b be a\/((45\/(-10))\/(-9)). Factor 0 + 0*y**b + 1\/2*y**3 - 1\/2*y.\nAnswer: y*(y - 1)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/15 + (17752\/595)\/8. Is h less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -3*f**3 + 22*f**2 + 108*f + 212. Let u(z) = 8*z**3 - 65*z**2 - 324*z - 637. Let p be -8 - (-3)\/(-4 + 3). Let r(w) = p*l(w) - 4*u(w). Factor r(y).\nAnswer: (y + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*z - 28 = 6*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.09?  (a) 2\/11  (b) -0.3  (c) -1  (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-3)\/11)\/((1375\/(-440))\/((-15)\/36)). Is -163 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1442.1 - 1536.1. Sort k, -0.3, 0, -12\/25 in decreasing order.\nAnswer: 0, -0.3, -12\/25, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes before 3:16 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -21 + 6 + -34 + 39.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 790 - k - 8*k - 790.\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 6\/7, -17, 0, 2\/11, -3\/8 in decreasing order.\nAnswer: 6\/7, 2\/11, 0, -3\/8, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*j = 13*j - l - 124959, 0 = -2*j - 3*l + 62497. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 41792137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 260 - 225. Calculate the smallest common multiple of 63 and v.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.138 + 0.038. What is the second biggest value in 4, q, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4180*i + 4*i**2 + 11021*i - 3420*i - 3421*i - 8*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -15160000 rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**3 - u**2 + 10*u + 26. What is the remainder when c(9) is divided by 218?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*v**2 + 204*v + 3468.\nAnswer: 3*(v + 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 3, o: 9}. Give prob of picking 2 m and 1 o.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t*t**(-2))\/(t\/((t**(-2\/13)*t)\/t)*t))\/((t*t**(-4)*t)\/t**(-2\/21)) assuming t is positive.\nAnswer: t**(-68\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the second derivative of -5*u + 0 - 1\/3*u**3 + 25\/2*u**2. Is v(-24) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.9 times -1745.46\nAnswer: 1570.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1562974 is divided by 106?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 25311 and 156.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -79*w**3 + 234*w**3 - 87*w**3 - 81*w**3.\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -2*m + 310, 5*n - 3*n - 306 = -2*m. Let q = m - 1055\/7. Find t, given that q*t**2 + 0 + 0*t + 2\/7*t**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the second derivative of -37*f**7\/210 + 29*f**3\/6 - f**2 + 14*f. Let g(c) be the first derivative of r(c). Find the first derivative of g(q) wrt q.\nAnswer: -148*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9\/29 - 661\/1943. Let u be 7 + 7\/((-21)\/12). Suppose u = 2*g - c, 2*g - 19 = g + 4*c. Which is smaller: g or f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(234)\/(sqrt(24)\/sqrt(4)))\/(-1*sqrt(108) - 6*sqrt(48)).\nAnswer: sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + w + 6 = 0, -3 = 5*w + 7. Let d be (-13)\/k*(2 - 0). Let t = 22 - d. Calculate the lowest common multiple of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i = -10*q + 112, -2*i - 3*q = 3*i + 279 - 170 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7539*j + 7535*j - 1573749 = -5*o, o - 314737 = 4*j. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 49550635 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 101101000011 (base 2) to base 16\nAnswer: b43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2201033002 (base 4) to base 2.\nAnswer: -10100001001111000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -844, -845, -846, -847?\n\"Answer: -l - 843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 - (2 - 5)) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24*0.268.\nAnswer: 6.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -7 and 446475347.22?\nAnswer: 446475354.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*m - 5*r + 70 + 36, -3*m + 104*r - 100*r - 39 = 43 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/(-5) - (0 + 1 + 2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-44)\/(-11)*5\/10*(-2)\/((-24)\/(-354)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 0 - (-2 - (-5 + 5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -588, -661, -854, -1227, -1840?\n\"Answer: -10*w**3 - 3*w - 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of -4 and 0.114.\nAnswer: -3.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 6164.355 years?\nAnswer: 61.64355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - 0)*(-2)\/(-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -11221200*a - 6177140.\nAnswer: -11221200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - m + 3603 = 10712, -2*a + 3*m = -14213. Suppose k - 2*o - 1775 = o, 4*k - a = 5*o. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -113 - -116. Suppose 2*c - f*t - 2*t - 11793 = 0, 4*c + 3*t - 23625 = 0. Suppose 5*x = 7631 + c. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from frffrfrrrrffvrrfrrrr. Give prob of picking 1 v and 2 r.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3*-1 + (-40)\/(-8). Suppose 0 = -2*s - o + 11, 5*s + 5 = o + 3*o. Suppose -6 = -3*y - s. Solve -f*v - y = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 369442*1.\nAnswer: 369442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (12\/7)\/((-15)\/(-70)). Suppose z - 8 = 2*z - 4*r, h = 4*z + 4*r. Solve t + 3 = 5*j, z = 4*j - 3 - 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 34988 + -20913. Does 25 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 3 = -p. What is the lowest common multiple of 3\/(p\/(-1))*22 and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**3 - 3*k**2 + 207*k - 15. What is d(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nnr when three letters picked without replacement from {n: 6, r: 2}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13.3 + -13. Let c = -1.1 + 85.1. Let b = c - 83.9. Sort b, -1\/4, u, 0.2 in decreasing order.\nAnswer: u, 0.2, b, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -31013.5 rounded to the nearest 1000?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 917563 - -582437. Suppose 45*q = 44*q - k. Round q to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11340 (base 9) to base 5.\nAnswer: -220234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sstsoxotsoooxdgsxdo. Give prob of picking 1 o and 1 d.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-68 + -2)\/(-2) - 0. Suppose 2*x + d = 7*x. What is the derivative of -2*v + 9 - 1 + x*v wrt v?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -43\/25 or -4?\nAnswer: -43\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -557, -1014, -1379, -1652, -1833?\n\"Answer: 46*c**2 - 595*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 29\/9 + 16\/(-72). Suppose -2*v - 53 = -w*a, -v - 3*a - 115 = 3*v. Let s = v + 48. What is the least common multiple of 22 and s?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 84323, 168842, 253363, 337886, 422411, 506938?\nAnswer: 591467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*c - c - 432 = 0. Calculate the remainder when 37 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.05 - -1234997.\nAnswer: 1234996.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1552493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*q**3 + 29*q + 5*q**3 + 2*q**4 - 90*q wrt q?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -5*c, 228*c = -4*k + 231*c + 435434. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.217979 milligrams in tonnes?\nAnswer: 0.000000005217979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 0) + -15 + (14 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -54*i**3 - 24 - 30 + 234*i - 175*i**2 - 44*i**3 - 35*i**2 = 0.\nAnswer: -3, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2275890080?\nAnswer: 2, 5, 1907, 7459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 420401 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6 - 7 - 12*k + 12 + 1 to the form t + a*k and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - ((-11)\/((-5500)\/40) + 615\/125) - -64?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1*115 - 10\/5. Suppose 5*p - 4*k = w, 5*k + 44 = 4*p - 50. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*q + 3*q - 78. Let s = 72 + q. Calculate the remainder when s is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 2*a**2 - a. Let u(o) = 2*o**2 + o + 2. Let h(v) = u(v) + 4*y(v). Find the second derivative of h(k) wrt k.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 23 - 12. Suppose -5*j - 5*r = -35, -2*j = -j + 5*r - 23. What is the remainder when l is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 86141.75km to millimeters.\nAnswer: 86141750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -433 or -435?\nAnswer: -433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 3500673 (base 10) to base 9\nAnswer: 6525016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**3 - o**2 + o - 1. Let g be x(2). Let v be ((-5)\/(-3))\/((-118)\/6 - -20). Solve 0*z - f = g*z - v, 0 = z - 5*f - 27 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 123804803.\nAnswer: 123804803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-12334)\/(-126) + (-3)\/(-27). Calculate the greatest common divisor of n and 245.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*w + w - 3*p + 27, 0 = 4*w + 2*p - 18 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 0 + 17*t + 877*t + 1324*t.\nAnswer: 2218*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes before 6:49 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -393*g + 98*g + 92*g + 97*g + 90*g - 11 + 4.\nAnswer: -16*g - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put together 7952 and -17.4718.\nAnswer: 7934.5282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((2\/(-15))\/2)\/(4\/(-24)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/2*372\/(-9). Suppose d - p = -d. Let h = d - 11. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 10*1 - ((3 - -1) + -4). Suppose 0*p - u = -2*p. Let o(b) = b**2 + 1. Let l be o(2). Solve 2*t + p*r - 7 = 0, -l*t + r - 14 = 3*r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 844894963?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3\/7, 1\/2, 474\/47, -58, 0.4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 9*n - 3. Let b(x) = 14*x - 5. Suppose -4*i + 3*q + 6 = 17, 2*i = -2*q - 16. Let j(g) = i*b(g) + 8*p(g). Let t(d) = -d. Calculate 2*j(a) + 2*t(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*b**3\/7 - 143427*b**2\/7 - 13502019*b\/7 - 317453181\/7.\nAnswer: 3*(b - 47903)*(b + 47)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 95680 a multiple of 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -1 + 0 + 2 - x. Let f be c(5). Let a = f - -11\/3. What is the nearest to a in 4, 0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4998 + 4968. Let d(x) = -11*x - 326. What is d(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 6*f - 28. Let p = 16 - f. Find the third derivative of -1734*y - 7*y**p + 1734*y + 6*y**4 wrt y.\nAnswer: 144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes after 6:54 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 51534 and 96524?\nAnswer: 6081012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, c: 3}. Give prob of picking 2 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sf when two letters picked without replacement from sfffsfsssf?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3796 and 93951.\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*u + 109 = 907 + 1377 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from {q: 10, u: 1, y: 3, a: 1}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -694, -1332, -1970, -2608, -3246?\nAnswer: -3884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*s**2 + 0*s**2 - 5*s**2)*(-5 + 4 + 0) + 4 - 5 + 2*s**2 + 4 in the form a*s + o + z*s**2 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6\/4*(-16)\/(-12). Suppose -5*l = -k*l. Solve 0 = -l*u - 2*u + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the third derivative of -l**10\/50400 + l**8\/2240 + l**7\/840 - 7*l**5\/15 + l**2. Let z(b) be the third derivative of c(b). Factor z(r).\nAnswer: -3*r*(r - 2)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**3 - 2*l**2 - 7*l. Let p(b) = b**3 - 4*b**2 + 13*b. Calculate -3*p(q) - 5*z(q).\nAnswer: 2*q**3 + 22*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 925*o*t**4 - o*t - 74629*o - 14*t**4 wrt t?\nAnswer: 3700*o*t**3 - o - 56*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2097 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -3*w + 5. Let y be p(-4). Suppose -9*a = a - 1080. Let g be a\/(-21)*42\/(-12). Does g = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m\/(m*m**(-1\/10)))*m*m*m*m**(-2\/7)\/m)\/(m\/(m*m*m**(2\/21))*m)**10)**(-3\/38) assuming m is positive.\nAnswer: m**(-107\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 2785*t**3 - 5*t**2 + 10*t + 2096. Let y(j) = 4177*j**3 - 7*j**2 + 14*j + 3143. Let b(c) = 7*p(c) - 5*y(c). What is the derivative of b(s) wrt s?\nAnswer: -4170*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 499949, 999899, 1499851, 1999805, 2499761, 2999719?\n\"Answer: g**2 + 499947*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1135\/156 + -103\/39. Let o = -2466\/7 - -107727\/308. What is the common denominator of b and o?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/2384?  (a) -0.4  (b) -3  (c) -5  (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 68*l**2 - 13*l + 1. Let d(r) = 20*r. What is h(d(c))?\nAnswer: 27200*c**2 - 260*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/356888 and 89\/57611920.\nAnswer: 403283440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*z + 0*z - 13*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*j = -17*j - 115. Let u be (-18 - j)*-1*1. Let s(z) = -5*z**3 + 2*z**2 + z + 3. Is s(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2455274819.\nAnswer: 1663, 1476413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 3*u**4 - 93*u**3 + 336*u**2 - 324*u + 14. Let x(d) = -d**4 + 31*d**3 - 112*d**2 + 108*d - 4. Let g(o) = 2*w(o) + 7*x(o). Factor g(n).\nAnswer: -n*(n - 27)*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Add 0.0699 and 18.\nAnswer: 18.0699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 407 + -240. Suppose 2*k - 121 + l = 0. Let q = k + 26. Solve -3 + 6 = q*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-5*2*sqrt(612) + sqrt(612) - (sqrt(612) + -1 + -3)))**2.\nAnswer: -17280*sqrt(17) + 2203776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -759 + 760. Let v = -4\/11 - -56\/33. Which is the nearest to v?  (a) 0.2  (b) d  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f**4\/5 - 148*f**3 + 744*f**2\/5 + 148*f - 742\/5 = 0 for f.\nAnswer: -371, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1139279101 rounded to 4 dps?\nAnswer: 0.1139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 286297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add together -10.5381564394254 and 0.\nAnswer: -10.5381564394254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-12)\/7)\/((-54)\/14 + 4). Let s(p) = -p - 1. Give s(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000046413742 to six dps.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*q**5 + 640*q**4 + 644*q**3.\nAnswer: -4*q**3*(q - 161)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 0.2, -2\/3, 0.1, 1\/993, -4.5?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 21 - -14. Suppose -5*c - 6*b = -b - f, -4*c + 3*b = 0. Solve c*g = 7*g + 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((11\/((-88)\/48))\/3 - 6 - -8)\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -63 (base 7) in base 15?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*w**3 - w**2 + 0*w**2 - 9 + 2*w**4 + 9 in the form a*w**4 + q*w**2 + o*w + z*w**3 + v and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 45 + 3360503?\nAnswer: 3360550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8447?\nAnswer: 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*p + 96 = -2*p. Let n be (p + -11)*(0 - -3). Solve -5 = -8*x + n*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 10 + 6 + 4*o)*(3 - 3 + 2*o**2).\nAnswer: 8*o**3 - 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 115817?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 31*y**5 + 10*y**4 - y**3 - 1573*y**2 - 2*y wrt y.\nAnswer: 1860*y**2 + 240*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4*2673 - (9 + 8 + -8 + -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + -13 - (-2 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4599 + -4599. Let a be (1*-1)\/((-3)\/6). Suppose j + 2*j = -3*y + 54, a*y - j - 45 = d. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -451, -993, -1705, -2671, -3975?\nAnswer: -5701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -62.94792 rounded to 0 decimal places?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 1564*a + 20. Let m(y) = 6257*y + 87. Determine 6*m(p) - 26*t(p).\nAnswer: -3122*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 76198 is divided by 25397.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d and 1 k when three letters picked without replacement from dkddddkdddkd?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 88620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 39.8606 litres to millilitres.\nAnswer: 39860.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 270*n + 2105. Determine m(-8).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1 - 0 - 3) + -4. Let g be 2\/(8\/v)*5996\/(-6). Suppose -2*i = 6, t + 2*i + g = -i. What is t rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 3*w - 1. Let n(a) = 20 + 4 + a**2 - 24. Calculate n(d(m)).\nAnswer: 9*m**2 - 6*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 9, a: 11}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the second derivative of -3*x**3\/2 - 7*x**2\/2 + x. Let u be (-1)\/(-4) - 133\/(-28). Let c(d) = -14*d - 11. Give u*c(m) - 8*i(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 2  (b) -3  (c) 3  (d) 10340\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 113*m**5 - 2*m**4 + 2067*m**2 wrt m.\nAnswer: 6780*m**2 - 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(891) + 0)*3 + (0 + sqrt(891))*3)**2 - -2*(-2*sqrt(891)*-1*-2)**2.\nAnswer: 124740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 6*f**2. Let n(u) = 9*u**2 - 2. Let h(y) = -520*y**2 + 117. Let q(l) = -2*h(l) - 117*n(l). What is p(q(i))?\nAnswer: 1014*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*v**2 + 0*v**2 + 3*v**2)*((-2 + 5 - 1)*(1 - 1 + 2) - 2 + 2 - 2 + (2 + 1 - 1)*(3 - 6 - 8)).\nAnswer: 100*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*k**4 - 5*k**4 + 4*k**4)*(-5 + 2 + 2) + k**4 + 2*k - 2*k - k**2 + k**4 + k**2 + 8*k**4 + 9*k**4 + 2*k**4.\nAnswer: 22*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/36?  (a) -4  (b) 1\/5  (c) 3\/83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*z**3 + 27*z**4 - 206*z**5 - 27*z**4 + (3 - 3*z - 3)*(-4*z**4 + z**4 + z**4).\nAnswer: -200*z**5 + 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1729 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 8*d**2 - 46*d + 14*d - 32*d - 11*d**2 - 21. What is o(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30\/72)\/((-60)\/(-24)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 2*g = 3, -3*q + 4*g = 3 + 6. Let r = -79 + 82. Let f be ((-4)\/1 + r)\/((-2)\/4). Sort 3, q, f in descending order.\nAnswer: 3, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s + 3 = -7, 4*p + 5*s - 2 = 6*p + 3*s for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccczz. What is prob of picking 2 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 128676 divided by -32169\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (3700\/(-370))\/(2\/8*50\/75)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1481, -2464, -2827, -2576, -1717, -256, 1801, 4448?\nAnswer: 7679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.03 + -0.97. Let i = 1.59 + -76.59. Let o = i - -74.9. Which is the closest to m?  (a) -0.4  (b) o  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 121 is divided by 39.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*x**3 - 54320*x**2 - 27154*x - 3394 = 0 for x.\nAnswer: -1697, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 4*s - 175. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 341868?\nAnswer: 2, 3, 31, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + -13 - (2 + 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j - 1. Let i(v) = -7*v - 9. Let f(p) = -i(p) + 5*w(p). Let a be f(-7). Is 20 a factor of (75\/(-20))\/(5\/a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 2*o = -10, -o - 5 = -4*x + x. Solve x*j - 3*j = -6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(-34))\/i**3*(i**(2\/5))**(2\/53) assuming i is positive.\nAnswer: i**(-9536\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l = -5*x + 13, 4*x - 58*l = -55*l - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 128 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y - l - 18 = 2*y, 0 = -3*y - 2*l + 16. Solve 5*d - 5 = 2*w, y*w - 37 = -4*d - w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20 - -200010122002010?\nAnswer: 200010122002100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 161 + -158. Let j be (-42)\/(-27) + 1 + (0 - i). What is the third biggest value in j, -9\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*g - 5*g**2 - 10*g + 8*g.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ao when two letters picked without replacement from {a: 6, o: 1, x: 9, s: 3}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 941*q + 3*t - 9 = 941*q, 51*t - 3 = q + 48*t for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**3 + 4*v**3 - v**3 - 4*v - 3*v**3 + 5 - 4*v**2. Let f(m) = m**2 + 5*m - 2. Let r be f(-6). Suppose 22 = r*t + 2. What is l(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.528 + 2104\nAnswer: 2105.528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -2*k + 34, k - 20 = -4*p + 9. Let j be (2\/3)\/(6\/72). Suppose -6*v = -p*v + j. Sort -1\/4, v, -1.\nAnswer: -1, -1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes after 10:06 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 609643820 to the nearest integer?\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g = -6*i - 56, -444*i + 2*g = -445*i - 16 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**2 + 2*d + 6. Let c be y(-4). Let h(m) = -m + 3*m**2 - m - c*m**2 + 12*m**2 - 1. What is the remainder when h(-7) is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60*c = 23*c + 148. Solve p - 8 = c*p - 4*x, 0 = -3*x + 15 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 35d - -f?\nAnswer: 36c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 87  (b) 1  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -3 - (-15 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.71 times 77?\nAnswer: -54.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 340828 is divided by 3667.\nAnswer: 3464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.3, 10, 4\/7, 0.3, 3.8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 5 + 1)*(0 - d + 0) - 6*d - 4*d - 13*d + 3 - 3 - d.\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -3221040 (base 5) to base 2\nAnswer: -1101010011111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.83 - -0.83. Which is the third biggest value?  (a) -0.08  (b) g  (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 - 28*o**2 - 213*o - 241. Give c(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0, 4, 5, -9 in decreasing order.\nAnswer: 5, 4, 0, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**3 + 13288*m**2 - 145722*m - 1353132.\nAnswer: -2*(m - 6633)*(m - 17)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -969 - -969. Let g = 3 + -3.2. Which is smaller: g or b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**3 + 5*n**2 + 2*n - 1. Give m(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 2*k**2 - 4*k - 42. What is the remainder when (-662)\/(-6) + (-6)\/(-9) is divided by w(-5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -115\/42 and 1\/756.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(13) + -3*sqrt(208) + 1.\nAnswer: -11*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -3*a. Let u(s) be the third derivative of s**6\/240 - 13*s**4\/24 + 5*s**2. Let p(x) be the second derivative of u(x). Give p(l(j)).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3133\/6 - -522. What is the third biggest value in -1\/2, 3\/34, w?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -7*a - 2. Let u(i) = i + 1. Give -q(v) - 2*u(v).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 46\/10 - (-8)\/20. Suppose 19 = 3*b - y. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**2 + 6*q - 6. What is u(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 13*r + 4. Let m(v) = 14*v + 4. Let c(x) = 5*d(x) - 4*m(x). Does 22 divide c(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*k - 3*k + 8*k**3 - 3*k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the first derivative of 2566*z**2 - 1527*z - 7242. Differentiate f(x) with respect to x.\nAnswer: 5132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49 - 28 = -11*y. Suppose 0 = 5*b + y*m - 6*m - 1230, b + 4*m - 227 = 0. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, n: 1, a: 1, w: 1, v: 1, b: 6}. Give prob of sequence av.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*f = -3*f. Factor 0 - 1\/5*b**3 - 1\/5*b**2 + f*b.\nAnswer: -b**2*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1160284613 to the nearest integer?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11682 and 198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2422 + -11012?\nAnswer: -3040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2815*i**4*y**3 - i**4*y + 3*i**2*y + y**3 wrt i.\nAnswer: -67560*i*y**3 - 24*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -248*o + 250*o + 3 - 25*o**4 - 22*o**3 - 2 + 22*o**4 + o**2 in the form x + q*o**2 + d*o + g*o**4 + f*o**3 and give f.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1807850357\/5922 - 148297\/846. Let c = z + 47111529\/154. Let s = c - 3298\/7. Find the common denominator of s and -79\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m - f - 6 = 6*m, -5*m - 3*f + 22 = 0. Suppose m*h = 5*d - 95, -4*h = -h - 12. Calculate the highest common divisor of 23 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f = 3*f - 18. Let j(h) = 4*h**2 + h**3 - f*h + 6*h. Does 4 divide j(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p - 3*h - 11, -h + 3*h + 13 = 5*p. Is -9\/7 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {q: 2, f: 6}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 0*l + 2 = 0. Let n = 7787\/710 - 24\/355. Calculate the common denominator of n and l - (250\/16)\/(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -525 - -2917. Is 39 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {u: 6, d: 6}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -25 - -27. Suppose -10 = -v + 3*p + 1, 0 = z*v + 4*p + 8. What is the least common multiple of v and (1 + 2)*(-42)\/(-18)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a week in hours?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*g + 4*g - g + (1 - 1 + 3)*(-6 - 4*g + 6))*(79*g - 79*g + 9*g**3) to the form k*g + t*g**2 + q*g**3 + s + f*g**4 and give f.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5034 (base 6) in base 9?\nAnswer: 1454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 7 + 2 = 0. Let k = h + 5. Suppose 6*q - 45200000 = k*q. What is q rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the third derivative of f**6\/210 + 2*f**5\/21 + 31*f**4\/42 + 20*f**3\/7 + 3576*f**2. Let w(u) = 0. Calculate u.\nAnswer: -5, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 245 and 1282624.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 3 = -k, f - 6*k = -8*k. Let n = -2 + f. Suppose -2*i - x + 1 = 0, 0 = -10*i + 13*i + 2*x. Solve i*o + 2*o + 8 = n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -1886*y - 13562. Determine j(-7).\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14*t + 122*t**4 - 123*t**4 - 10*t)*(-13 + 17 - 11) + (1 + 0 - 3)*(-3*t + 3*t - 2*t**4).\nAnswer: 11*t**4 - 28*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = -4*w + 252. Let n = w + -39. Calculate the remainder when n is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-12716)\/(-11 - -9) + 1 + -2.\nAnswer: 3, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2053?\nAnswer: 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 10301.\nAnswer: 4\/10301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2163815632.\nAnswer: 2, 11, 107, 114901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 189*u. Let i(v) = 1551*v**2 + 1570*v**2 - 3107*v**2. What is x(i(c))?\nAnswer: 2646*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes after 9:33 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (4\/18)\/(13 - 14)*-9. Suppose 4*r - i*a - 8 - 14 = 0, -4*a - 32 = -5*r. Suppose -70 = -r*c + 2*c + 3*k, -42 = -c - 2*k. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o - 5. Let y be a(-5). Let f(d) = d**3 - 5*d**2 + 5*d + 2. Let c be f(4). Solve y = v + v - c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14316.3639s to days.\nAnswer: 0.16569865625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) -2  (c) 1  (d) -1  (e) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 17*u + 5984131. Let t(h) = h**2. Determine q(t(r)).\nAnswer: 17*r**2 + 5984131","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.2, 3\/2, 0.3, 10.85?\nAnswer: 10.85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 143684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**3 - 18*l**2 - 41*l + 21. Let r be n(20). Put 59, -4, -5, r in ascending order.\nAnswer: -5, -4, r, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24261 less than 18.8?\nAnswer: -24242.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -822*t + 741. List the prime factors of j(-11).\nAnswer: 3, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*p = 18 - 234. Put -1, 24, p in decreasing order.\nAnswer: 24, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3784169587 to the nearest integer?\nAnswer: 61516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 4*o + a - 5, 0 = -3*o + 2*a + 15. Suppose 0*l + o*l = 15. Suppose s = 2*s. Solve -2*i + 2*r + 10 = s, 3*i - 5*r = l*i + 18 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 3, -1, -48, -766 in ascending order.\nAnswer: -766, -48, -1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v**3\/9 + 146*v**2\/3 - 3938*v + 21780 = 0.\nAnswer: -165, 6, 99\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 105.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/10)\/(6\/(96\/4))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes before 10:58 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0038874 rounded to 4 dps?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:35 AM and 5:18 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -7.272154 times 0.7\nAnswer: -5.0905078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 107877407.\nAnswer: 11, 337, 29101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -140*k**4 - 480*k**2 - 2*k + 410681 wrt k?\nAnswer: -1680*k**2 - 960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 324 and 33929928?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 2*k**2. Let a(h) be the third derivative of h**4\/8 + 10*h**2. Let x(d) = 10*d. Let f(p) = 14*a(p) - 4*x(p). What is s(f(o))?\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (q**2 - 4*q**2 + q**2)*(1 + 0 + 0 + 5 + 2 - 5 + (0 - 2 + 0)*(-2 + 1 - 1) - 5 + 5 + 2 + 3 - 4 - 1)*(3 - 2 + 0) as z + i*q**2 + k*q and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -46*o**2 + 3*o + 3. Let b be l(5). Let z = -419 - b. Is 24 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(45) + 2*sqrt(45) + -3 + sqrt(45) + sqrt(90)\/sqrt(18))**2.\nAnswer: -78*sqrt(5) + 854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 1 + 1)*(-5*l + 4*l + 4*l) + (-5 + 1 + 1)*(-l - 3 + 3) in the form c*l + h and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wbwwbwb. What is prob of sequence bbw?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1761.662mg to tonnes.\nAnswer: 0.000001761662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 931*g + 15*g = g - 3780 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -909499 divided by 5081\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k**3\/5 - 146604076*k**2\/5 - 29320816*k = 0.\nAnswer: -1, 0, 36651020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3.054  (b) 8\/213  (c) -4\/9  (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -k**5\/5 + 33*k**4\/5 + 147*k**3\/5 + 43*k**2\/5 - 222*k\/5 = 0?\nAnswer: -3, -2, 0, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 147*g**2 - 3*g - 65. Let y(z) = 137*z**2 - 2*z - 64. Give 4*l(h) - 5*y(h).\nAnswer: -97*h**2 - 2*h + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u = 3*u + r - 10, -5*r + 8 = -u. Which is the closest to 1\/3?  (a) 1\/4  (b) u  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0.5, 1.6151, 1\/6, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43*p**3 - 18*p**3 + 14*p**3.\nAnswer: -47*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -s - 53, 57 = 3*p - p - 5*s. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 9, 261, 48, 115 in ascending order.\nAnswer: 3, 9, 48, 115, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are -267.07 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**2 + 11*f + 14. List the prime factors of y(-13).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2, 3, 0, 240.\nAnswer: 0, 1, 2, 3, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 - 23731?\nAnswer: -23727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 240.692 - 241. Let m = y - -0.308000214. What is m rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/13 + 225\/195. Suppose 4*n + 2*u = 68848712, u + y = 5. Let s = n + -33812176. Round s to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*b - 9*b + 228. Calculate the lowest common multiple of b and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25635 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -4*w**3 + 191*w**2 + 32*w + 695. Determine q(48).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: f24 (base 16) to base 2\nAnswer: 111100100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3362*i**3 - 7*i**2 - 2*i - 18 wrt i?\nAnswer: 20172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 6*b + 289. Let r be v(-47). Let y(t) = 3*t**2 + 4*t - 4. Let s(p) = -5*p**2 - 7*p + 7. Determine r*y(n) + 4*s(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes before 10:23 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -88665, -177364, -266073, -354792, -443521?\nAnswer: -532260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 6*y**2 - 15*y - 7. What is the tens digit of u(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9.918 + 0.118. Let u = -0.2 + p. Let g = u - -6. What is the second biggest value in -5, 0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s**3 - 4*s**3 + 4*s**3)*(0 + 4 - 3) + (3 - 3 - 2*s**2)*(2*s + 0*s + 0*s) + 2*s**3 - 12*s**3 + 7*s**3.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1008677959 or -1008677958?\nAnswer: -1008677959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b - i + 13, -8*i + 15 = -3*i. Let g be 2*(0 - b) - 2. Solve g*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*r**2 - 60*r + 60*r)*(1 - 1 + 4*r**2).\nAnswer: 24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -117*g**2 + 42 - 73 + 99 as t + l*g + h*g**2 and give t.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 1, n: 2, x: 1, c: 4, m: 1}. What is prob of sequence cmc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 48633 and 258?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 2 n, and 1 l when four letters picked without replacement from {p: 1, o: 1, l: 1, n: 2, y: 1, x: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 10 - -19 - (-11 - 5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, t: 3, g: 2, q: 3, h: 4, k: 3}. Give prob of sequence ku.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 4*u**2 - 4. Let c be b(2). Suppose -p = 3*p - c. Suppose -n = n + 4*o - 36, p*n - 59 = -o. Calculate the greatest common factor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 5*j - 8 = 0, 0 = 2*a - j - 1 - 1. Suppose a*k + 3*t + 1 + 2 = 0, -5*k - 2 = 2*t. Sort k, -5, 1 in descending order.\nAnswer: 1, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 339466 is divided by 166.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -31*s*v + 1271*s - 351*v - 41 with respect to s.\nAnswer: -31*v + 1271","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = 5*s, -4 = x - 2*s + 14. Let q be 4\/x + (-26)\/10. Let m(v) = -v**3 + 6*v**2 - 6*v + 1. Let n be m(5). Which is smaller: n or q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -169 divided by 3\nAnswer: -169\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from djhhjbdqjgqhhqg. Give prob of picking 1 j, 1 d, and 2 h.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x\/x**(2\/3)*x*x\/x**(3\/4))\/((x**(9\/5)\/x)\/(x*x**14)) assuming x is positive.\nAnswer: x**(1007\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 84589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 4, q: 3, c: 1, l: 1, s: 4, j: 2}. What is prob of sequence sbc?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*n**4 - 8 + 8 - 37*n**4 - 35*n**4 + 26*n**4 + (-2*n**2 - 3*n**2 + 4*n**2)*(n - n + n**2) as m*n + d*n**2 + c*n**4 + b*n**3 + l and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/9, 7, 0.3.\nAnswer: 0.3, 4\/9, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -72*b - 36. What are the prime factors of a(-4)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/15 in 166, 2\/7, -0.1, -2\/5, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 8116451183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1456 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve q**3\/5 - 2913719*q**2\/5 + 81583544*q\/5 - 571083436\/5 = 0 for q.\nAnswer: 14, 2913691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 147552 and 96?\nAnswer: 147552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3671747 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 152, 294, 436, 578, 720, 862?\n\"Answer: 142*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 9 - (-35 + 87 - 42).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the second derivative of g**7\/6 + 11*g**5\/10 - 101*g**4\/4 - g**3\/6 + 489*g. What is the third derivative of f(w) wrt w?\nAnswer: 420*w**2 + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 724917 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 156549 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*(s\/s**(-4\/3)*s)\/s*s)**(4\/25)\/(s**(14\/5)\/s**(-5\/3)))**(1\/49) assuming s is positive.\nAnswer: s**(-283\/3675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 13) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/((a\/(a*a**(-2\/3))*a)\/a))\/a*a*a**(-1))**48 assuming a is positive.\nAnswer: a**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*i - 49*i**3 + 4*i + 0*i + 9*i**3 to y*i**3 + n*i + d*i**2 + v and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*s - 137 + 19 = 2*o, s + 5*o + 89 = 0. Suppose -4*m = -0*y - 5*y - 32, -2*m - 12 = y. Is s bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*i**3 - 273*i**2 - 108*i**4 + 16 - 72*i**2 - 33*i**2 - 16 wrt i?\nAnswer: -2592*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-2)*u)\/u**(-2\/9))**21*(u**(-1\/3)\/u)**(-4\/11)\/((u**(-2)*u*u*u)\/u*u*(u**(2\/5)\/u)\/u*u) assuming u is positive.\nAnswer: u**(-2681\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -267392, 4, 378 in ascending order.\nAnswer: -267392, 4, 378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.39?  (a) -2\/3  (b) -5  (c) -1  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 6, t: 7}. What is prob of picking 2 a and 2 t?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q**5\/7 + 576*q**4\/7 + 18012*q**3\/7 + 117472*q**2\/7 + 217536*q\/7 = 0 for q.\nAnswer: -103, -33, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*q + 10*q + 18. Let x(z) = -z**3 - 8*z**2 - 11*z - 9. Let k be x(-7). Is k greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that 0 + 178\/9*f**2 - 20*f**3 + 0*f + 2\/9*f**4 = 0.\nAnswer: 0, 1, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 136450596 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 180 and 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12111011 + -11222120?\nAnswer: 111121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 16*p + 5. Let d be b(2). Suppose -2703 = 4*q + 5*z + d, 0 = 3*q + 2*z + 2062. Round q to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -7*v - 17. Let w be f(-3). Suppose -t + 2 + w = 0. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l + s - 10 = 0, 5*l - 636 = -s - 618 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -600, -1884, -3900, -6654, -10152, -14400, -19404, -25170?\n\"Answer: -a**3 - 360*a**2 - 197*a - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4331 - 4309. Solve 0 = -4*c + 5*s + b, 3*c - 5*s = -2*c + 25 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 18535.6 - 18537. Let r = -4.6 + -3.4. Sort b, -0.5, r in increasing order.\nAnswer: r, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 224314891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -2*c**3 + 27*c**2 + 29*c + 127. What is o(15)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -7143980 to the nearest 100000.\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*g**3 + 101106 - 201460 + 103590)*(2*g - 2*g - g).\nAnswer: -3*g**4 - 3236*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-528)\/(-8) - 1 - (-703)\/19.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s - j + 1 = 0, 0 = -4*s - 2*j - 2 - 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/987542 and -24\/7875229.\nAnswer: 929277022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10014664 - 10016904 = -140*p for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and 96.\nAnswer: -38.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(77) - (-1*sqrt(77)*6 + sqrt(77))))\/(-1*sqrt(175)*-3).\nAnswer: 4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1551171931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 93964.63 centuries in decades?\nAnswer: 939646.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 15*v**3 + 9*v**2 - 240*v - 144.\nAnswer: 3*(v - 4)*(v + 4)*(5*v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -39 + 36. Let s be (3 - 8\/4)\/((-3)\/i). Let h(w) = -w**3 - w**2 + w - 1. Determine h(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-2*(-5 + 6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 21818?\nAnswer: 21818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -2*p**3 + 3*p**2 + 2*p. Let h be ((-4)\/10)\/((-4)\/10). Let m = h + 2. Let o(z) = -3*z**3 + 5*z**2 + 4*z. Calculate m*o(g) - 5*u(g).\nAnswer: g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Do -65899 and -65872 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.101 + 0.899. Let w = 8 + -2. Let z = c + w. What is the closest to z in -3, -1\/2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -5*a**3 + 2*a**2 - 2*a + 6. Let w = -22 + 21. Let l(y) = -y**3 + 1. Calculate w*f(x) + 6*l(x).\nAnswer: -x**3 - 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -13*b**3 - 4*b**2 - 7*b + 1. Is s(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -448 - -1781\/4. Let k = n + -119\/12. What is the common denominator of k and -28\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2960\/148*(-20)\/60.\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the third derivative of l**7\/35 + l**3\/2 + l**2. Differentiate y(g) with respect to g.\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + l = 4*z + 8, 3*l + 5*z + 10 = 0. Let r be -14*18\/(-63) + 1 + -6. Which is greater: r or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 4 - 5 + 1 + 4*m**2 - 4*m - 5. Let n be -5 + 2 + 1 + 6 + -3. Let u(q) = -q**2 + q + 1. Calculate n*z(i) + 3*u(i).\nAnswer: i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 328104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6821 - 6815. Let r(c) be the third derivative of 0*c**5 + 13*c**2 + 0 + 0*c**4 + 0*c**3 + 0*c + 1\/60*c**x. Factor r(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -10, 32, 3\/4, 0.3, -0.4, 3, 0.013?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, y: 5, a: 5, o: 2, z: 3}. Give prob of sequence ar.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-111)\/(-2)*10\/(-3). Let b be 4006\/12 - 4\/(-24). Let x = b + d. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*q**3 + 0 + 0 + 8*q**3.\nAnswer: 11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**2 - 2*y - 1. Let b be q(0). Let x = 28 - 38. Let r be x - -5 - 2\/b. What is the second biggest value in 1, r, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = 8*d + 200. Let b = d + 54. Calculate the greatest common factor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tsss when four letters picked without replacement from {t: 2, s: 7, d: 5}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, p: 1, m: 2, y: 3, n: 2, s: 2}. What is prob of sequence nm?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 214661406209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3 - -103) + (1 - 2). Let x be 795\/53*(12\/40)\/((-4)\/(-8)). What is the greatest common divisor of d and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 941*-6.35\nAnswer: -5975.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -52\/17 and -15.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 40073, -6, -7 in increasing order.\nAnswer: -7, -6, 1, 40073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -47250217, -47250218, -47250219, -47250220?\nAnswer: -47250221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*x - 14*x = 7. Let a(l) = -8*l - 5. Suppose 12 = 7*h - h. Suppose 2*i = h*j + 16, i + 5*j + 10 + 6 = 0. Let c(g) = 4*g + 3. Calculate i*a(n) + x*c(n).\nAnswer: -4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 108 divided by 27\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 5*p = -437 - 563, -o + 4*p + 203 = 0. Let z = -159 + o. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22815 = 563*q - 698*q. Suppose k = -0*f + f + 30, -f + 150 = 5*k. Calculate the remainder when q is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t - 66 = -l, -4*l - 4*t + 3*t + 149 = 0. What is the highest common divisor of l and 1788?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 - -4. Suppose 3*l - 2*l + 1 = o. Let q(d) = -d**2 - 17*d - 19. Let p be q(-16). Which is smaller: p or l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -28, -3, -2, -4.\nAnswer: -28, -4, -3, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -17*i - 2. Let q(b) = 6*b + 1. Suppose 0 = -2*n - 5*p - 17 - 1, p = 2. Let u = n + 25. Calculate u*q(x) + 4*y(x).\nAnswer: -2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25119 is divided by 4232?\nAnswer: 3959","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 13*n**2*o**4 - n**2 + 1037*n - 22*o**4 wrt o?\nAnswer: 52*n**2*o**3 - 88*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(2 + sqrt(2) + 1 + sqrt(1078)\/sqrt(11) + (sqrt(864)\/sqrt(9))\/(sqrt(30)\/sqrt(90))).\nAnswer: -100*sqrt(2) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100011111 - -11011110100011100011?\nAnswer: 11011110101000000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2932981 a multiple of 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -74 + 78. Is (-20)\/(-5) - 138*(-166)\/j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 282*z**5 + 285*z**4 - 206*z**3 + 42903*z**2 + 112*z - 2.\nAnswer: 16920*z**2 + 6840*z - 1236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 6924 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/(8\/(-1)))\/3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4570679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(77) + sqrt(77)*2 + sqrt(77))*4)\/((sqrt(42)*-1)\/sqrt(6)) + -3.\nAnswer: -16*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1073 times -8\nAnswer: -8584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 325 - -50103503?\nAnswer: 50104232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.0303 + 0.0297. Let a be 1\/(10\/4 + -2). Let o = 12.1 + -11.1. What is the third smallest value in 1\/6, o, a, d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -222313*d**2 - 77*d*t**2 - 240016*t**2 - 407*t wrt d?\nAnswer: -444626*d - 77*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times -4.91?\nAnswer: -14.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -14 in 2\/3, -4, 9, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 3281*w**3 - w + 1. Let m(h) = -547*h**3. What is 2*f(i) + 13*m(i)?\nAnswer: -549*i**3 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-3)\/2)\/(-7 - -6). Let z = 294 + -569. Let s = z + 1922\/7. What is the third smallest value in s, 2, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a in a**3\/2 + 492*a**2 + 30431*a\/2 - 15708 = 0?\nAnswer: -952, -33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -3 - 0. Let o = 74 + -220\/3. Let d = 22095.9 + -22098.9. Which is the closest to 0?  (a) d  (b) o  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 2, j: 4, m: 2, i: 4, n: 2}. What is prob of picking 2 m and 1 u?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from bbob.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 22180319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4140 (base 5) to base 3.\nAnswer: -202012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00237481 rounded to 5 dps?\nAnswer: 0.00237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0.6, 25, 1081, 5.\nAnswer: 0.6, 2, 5, 25, 1081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 15.9 - 10.9. Which is the nearest to 37?  (a) w  (b) -0.3  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 2610*m. Let b(h) = h**2. Give b(w(o)).\nAnswer: 6812100*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1394622*i**2*x**3 - 3*i**2*x**2 + i**2 + 2*i*x**3 - 8*i*x - i - 5*x**3 - 1037 wrt x.\nAnswer: 8367732*i**2 + 12*i - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 23066 = 5*k, -4*b - 28581 + 74725 = 4*k. List the prime factors of b.\nAnswer: 2, 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -111*f**5\/5 - 27072*f**4\/5 - 1649196*f**3\/5 + 178608*f**2\/5 = 0. What is f?\nAnswer: -122, 0, 4\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.65 + -0.69. What is the closest to 0.1 in -0.5, -2\/11, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 488 minutes after 6:06 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-283)\/(44148\/(-624)) + -94.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:11 PM and 3:03 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 775, 666, 419, 34, -489, -1150?\n\"Answer: -69*z**2 + 98*z + 746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-580 + 170 - 554 - 1185 + 226)*(4*v - 4*v - v**3).\nAnswer: 1923*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 235*n**3 - n**2 + 13*n + 11. Let v be r(-3). What is v rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 + (-4)\/(-3*8\/18). Suppose -2*h + 123 = u*z + z, -h = 3. What is the highest common divisor of 215 and z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the first derivative of -34*f + 9 - 9*f**3 - 14*f - 4*f**3. What is the derivative of s(v) wrt v?\nAnswer: -78*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 573000 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -101 + 3?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 3 z when four letters picked without replacement from zrorhrzrzuuzku.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12736?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 5 + -4 + 3 + 1. Suppose k = 5*s + 2*y, -3*y - 6 = 3*s - 0*s. Suppose -3*g = s*c - 24, 4*c = -2*g + g - 1. What is the remainder when g is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0020057976 to 7 dps.\nAnswer: -0.0020058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (63*m + 119*m**3 - 34*m**3 - 60*m - m**3 + m - m + (-3*m**2 - 2*m**2 + 4*m**2)*(0 - 2*m + 0))*(0*m - 5*m + 4*m).\nAnswer: -86*m**4 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -37 + 44. Let u(v) = -v**3 - 5*v**2 + 6*v - 4. Let l be u(-6). Sort -1, 4, q, l in increasing order.\nAnswer: l, -1, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = 3*q + 20, 4*q = 3*t - 62. What is the remainder when t is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**3 - 8*k**2.\nAnswer: k**2*(k - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from txxrxrvrxx. Give prob of picking 3 t and 1 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -106*f - 1690. Calculate w(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 - 113310121?\nAnswer: -113310132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 235\/(-8) - (50*(-50)\/6000 + 2\/48)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 18 - 32. Let z = 26 + p. What is the highest common factor of 132 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 63\/92 or 0?\nAnswer: 63\/92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 22.4 - 21.962. What is i rounded to 2 decimal places?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0, -24, 3, 1446183.\nAnswer: -24, 0, 1, 3, 1446183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1, -8, 208.\nAnswer: -8, -1, 3, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - 7) + -1 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2687667683?\nAnswer: 17, 53, 103, 28961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1163 + -1163. Solve 3*c + s - 3 = -2*s, x = 3*c + 4*s - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3\/3*10\/(-5)*1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-16)\/(-40) + (-937)\/5. Let r = -60 - c. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1111244 - 312143?\nAnswer: 244101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 28\/(-7) - -3 - -278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 9) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = l - 2. Suppose -2*w - l*k - 18212 = 0, 5*w + k + 45484 = 5*k. Round w to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17565 = 529*f + 3811 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 621.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-3\/2)\/n*n)\/n**(2\/39) assuming n is positive.\nAnswer: n**(-121\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 8*q + 5. Let w be x(-6). Let g = 365 + -319. Let h = w + g. Solve u - 6 = h*c, 8 - 18 = -4*u + 5*c for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8286\/(-9667) + 40\/14)*(-40)\/(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 593504 at most as big as 593503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -0.13, -2, -82, 84?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.12 + -0.18. Which is the fourth smallest value?  (a) f  (b) 3  (c) 0.01  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 123 + 2?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/13?  (a) 2\/639  (b) 1\/8  (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 29514.\nAnswer: -1\/9838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6381206149?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2*u + 0)*(-3*u - 2*u + 3*u + u + 4*u - 3*u + (-1 - 2 + 2)*(-u + 0 + 0) + 2 - 2 + u - u + 1 - 1 - 2*u - 2 + 2)*(u**3 - 2*u**3 + 3*u**3).\nAnswer: 4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -3 + 4 - 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -136.3 * 813.21.\nAnswer: -110840.523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 0*c**2 - c - 15*c**5 - 2*c**2 - 2*c - 1 - 4 wrt c.\nAnswer: -300*c**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-3)\/(-5))\/(5\/25). Let p be (z - 2)*15 + 0. Suppose 3 = -3*v + p, 0 = -2*o - 5*v + 40. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 22 + 9174*d + 21 - 24 - 19 in the form s + r*d and give r.\nAnswer: 9174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-66)\/3465)\/(34\/510)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 44*w - 19. Is d(31) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 15 - 21. Let u = r - -9. Suppose -3*i - 27 = s - 5*s, -u*s - 5*i = -13. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -123 + 123 + 16*t as h + m*t and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14 - -11) + (-10 - 0) + -85 + 95?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -178 - -260. Let l(j) = j**3 - 82*j**2 - 83*j + 21. Calculate the remainder when z is divided by l(83).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 2*n - 3 - 6 = 0, 2*i - 4*n + 6 = 0. Let y be (i\/21)\/(1\/(-3)). Is 1 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -2*m**2 + 37*m + 63. Let i be j(20). Let h(w) = 62*w**2 + 2 + 10*w + 0*w - 2 - 1. Is h(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:23 PM and 5:50 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28515354 divided by 619899.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 496806052.\nAnswer: 2, 739, 168067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -2*l**3 + 24*l**2 - 48*l - 137. Determine d(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = 3*c - 13, n + 5 = -c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -615 - -1231. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 5 - 17 = 0. Let y be 1*(t - -3*2). Suppose n + 3*j + 7 = 2*n, -17 = -2*n + y*j. Calculate the least common multiple of 8 and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-9)*j\/j**9*j**(-7)*j**(-7))**(-20\/3) assuming j is positive.\nAnswer: j**(620\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 5*r - 1 = 0, u - 3*r = -2 + 5. Calculate the smallest common multiple of u and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 + 8. Suppose 5*h + r = -22. Let d be h\/(-10)*(0 + 60). Solve w + 3*x = -1 + 9, -5*w + d = 5*x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 672.204 + -672. Let p = -0.304 + s. What is the nearest to -1 in -1\/13, 7, p, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 3*j - 26, 4*i + 15 = j - 67. Let u = 32 + i. Let v = 21 - u. Calculate the smallest common multiple of v and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 83.917 - -0.083. Let z = l + -87.4. Let y = 0.4 + z. Put y, 1, -5 in descending order.\nAnswer: 1, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -62335 to the nearest one thousand.\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3\/5, 3, -3, 7\/8 in decreasing order.\nAnswer: 3, 7\/8, 3\/5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 74264760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1248  (b) -3\/7  (c) -0.42  (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**3 - 2*a**2 + 2*a + 1346. Let u be d(0). Let v(r) = -1346 + 21*r + u. Let q(m) = 3*m. Calculate v(q(f)).\nAnswer: 63*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-25 - 5434\/(-104))\/(11*11\/484)\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77.49 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -20 + (28 + (49 - 71) - (15 + -1)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 122937 is divided by 13556.\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 663084 to the nearest ten thousand.\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 795095*g + 651370 with respect to g.\nAnswer: 795095","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 434997 equal to 434953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 68419546?\nAnswer: 2, 13, 587, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 5*y + 10*y + 18104995 = 0, -5 = -5*y. What is u rounded to the nearest one hundred thousand?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:22 AM and 10:04 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0.7 * -0.3\nAnswer: -0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -5*k + 177, 2*k - v + 113 = 5*k. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 times 298\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**3 + 7*v**2 - 7*v + 9. Suppose -16*m = -17*m + 44. Let u be 16\/3 + m\/66. What is q(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1 - -1) + -2 + 40. Suppose 4*j = 4*g - d, -3*j - 8 = j. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 947?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 245 = -265, -s = -4*l - 9. Sort 2, 4, 22, 8, l in ascending order.\nAnswer: l, 2, 4, 8, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -2*i**2. Let d(j) = -193965*j - 2345. Let o(q) = 331*q + 4. Let p(h) = 4*d(h) + 2345*o(h). Determine p(x(m)).\nAnswer: -670*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 3, v: 11}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 74\/(-26) + -6*(-3)\/6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**3 + 2*m**2 + 20*m + 67. Determine k(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 4  (b) 1  (c) 4\/5  (d) 6\/757  (e) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 5, j: 7}. What is prob of picking 1 j and 1 k?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(75) + 1 + sqrt(75) + 3*sqrt(75) - sqrt(75)))**2*3.\nAnswer: 1080*sqrt(3) + 32427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 120*v + 2. Let b be y(1). Suppose -b + 87 = -5*z. Calculate the highest common divisor of z and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -711211?\nAnswer: -3\/711211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 2*r**2 - 138*r - 735. Let p be j(-5). Is 67\/11 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 * -2829.\nAnswer: -5658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*n - 42 = 11*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 31*h. Let o(m) = 98*m - 11. Calculate n(o(s)).\nAnswer: 3038*s - 341","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**3 + 20*g**2 - 38*g + 4091. Give z(25).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -674777.15028507629 + 4594129745.15028568629. Let k = 4593454933 - v. Let z = 35 + k. What is z rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 0 - 2 + 4 - 1. Let n(b) = -b**2 + 0 + 0*b**2 - 1. Give n(r) + u(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -293 + 595\/2. What is d in 7\/2*d**2 - i*d**3 + 5\/2*d - 9\/2*d**4 - 1 = 0?\nAnswer: -1, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 20*q**2 + 66*q**2 + 29 - 29 to z + k*q + v*q**2 and give v.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*d - 20 = 41*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28207 is divided by 8198.\nAnswer: 3613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 69 + (-2 + 3 - 1) - (-2040 + 2040)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -76, -103, -148, -211?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(112)*3 + 2*(sqrt(7) - (sqrt(28)\/sqrt(4))**2) + 5.\nAnswer: -9 + 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/2*(1 - (-3 + 5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 17 = -0*w + 4*w, 0 = 3*g - 5*w. Let s(b) = -b**3 - 6*b**2 - 4*b + 7. Let f be s(g). Solve -3*y - f*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3  (b) -75  (c) -0.025  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 15251416 by -412.\nAnswer: -37018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 220 and 650.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4806773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*x**2 - 16*x**2 - 19*x**2 - 3 - 22*x**2 as b + w*x + p*x**2 and give p.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s**5\/19 + 10*s**3\/19 - 8*s\/19 = 0.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1830 + -1834. Sort i, -14, -0.01.\nAnswer: -14, i, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4988828?\nAnswer: 2, 13, 197, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i*i\/i**(-23)*i*i**(-34)*i*i*i**2\/(i\/i**14))**28 assuming i is positive.\nAnswer: i**280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/7 + (16\/(-56) - -7). Suppose -6*n - 15 = -l*n. What is the highest common factor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the first derivative of -r**2\/2 - 36. Let t(y) = y**3 - 3*y**2 - 7*y + 4. Let f(q) = -3*k(q) + t(q). Determine f(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -26 + 4*r + 53 - 27. Let m(b) be the third derivative of b**5\/30 + 2*b**2. Calculate z(m(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xde when three letters picked without replacement from edxzadt.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -48.6, 969, 0.019?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-3\/4)*u*u*u*u*u**(-5)\/u*u**(-1)\/u*u*u\/(u\/u**(-6\/11)))**(1\/23) assuming u is positive.\nAnswer: u**(-189\/1012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -119 (base 13) to base 4\nAnswer: -2333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 237 and 843.\nAnswer: 66597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1034980 and 120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (7310\/3225 + 16\/(-6))\/(-1). What is the closest to s in -5\/4, -1\/7, 1\/4, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 97.35 + -0.1.\nAnswer: 97.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 119308 divided by 29827\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**3 - 32*w**2 + 144*w + 10. Let i be s(-36). Calculate the highest common divisor of 5380 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = 5*l + 2*x + 2*x, 2*x = 10. Let w(r) be the third derivative of 1\/60*r**5 + 12*r**2 - 1\/6*r**l - 5\/24*r**4 + 0 + 0*r. Calculate w(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.84423 rounded to 1 dp?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 3 b when four letters picked without replacement from gobobobo?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 32971483 a multiple of 724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 4*s**2 - 2*s. Let v be x(-6). Suppose 4*k - v = 5*q, k + 0*q - 5*q = 54. Does 22 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10 + 14. Let u be -1 + 1 + 7\/(-14). Let n = 1.9 - 2. What is the nearest to n in u, -1, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -11*w + 14. Let j(q) = q - 14002 - 8*q + 14011. Determine 8*j(l) - 5*p(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35330 is divided by 504?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*j**5 + j**4 - 9866*j**3 - 202*j**2 + 9*j + 29 wrt j?\nAnswer: 180*j**2 + 24*j - 59196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 917, 3678, 8279, 14720, 23001?\nAnswer: 33122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -3*n**2 + 3 + 0*n**2 - n**3 - 1 + n**2. Let p be r(-2). Suppose 0 = -5*h + b - 5*b - 20, 10 = -p*b. Which is bigger: -3\/7 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44594673.\nAnswer: 3, 14864891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*i**3 - 20*i**3 - 23*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6923\/681 - -1\/1362. Let y = 886 + -16827\/19. Calculate the common denominator of y and w.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/((-29 - -29)\/(-30) + 9))\/(28\/(-18))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 1 + sqrt(17))*5.\nAnswer: -20 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2487283505 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1537084 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30\/(-2)*-1*(234\/65)\/3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 2016262, 4032515, 6048766, 8065015?\n\"Answer: -t**2 + 2016256*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 308*m - 3841 = 88*m + 53*m for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*d = 4*c + 24, 3*d - 33*c - 35*c - 36*c - 36 = 7*d - 105*c for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 123 is divided by 54.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the third derivative of u**6\/8 + 67*u**5\/12 + 955*u**4\/12 + 100*u**3 - 32*u**2 - 20*u. Suppose k(p) = 0. What is p?\nAnswer: -12, -10, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 3\/11  (b) -46  (c) -0.1  (d) 1\/3  (e) -4  (f) 6  (g) -3\/2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 14\/16*8 - 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -3977, -7995, -12013, -16031, -20049?\n\"Answer: -4018*r + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 70 a factor of 221200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (1 - (-16)\/(-10)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 885 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 - 2)*(2*k - 2*k - 2*k) + k - 4*k + 2*k - 8*k + 9*k + 14*k.\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 2 d when three letters picked without replacement from dqqvqdrvudbqquruqq.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.851153 + -2.98371. Let j = q - -49.122057. Let l = j + -49. Round l to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1190*l**2 + l + 61*l**2 + 786*l**2 - l + 344*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -910, -1444, -1980, -2518, -3058?\n\"Answer: -k**2 - 531*k - 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -6\/61  (b) 3  (c) 0.1  (d) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 777*l + 586*l - 36801 = 0 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1097 = -17*u + 4133 + 2574. Calculate the smallest common multiple of u and 418.\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iw when two letters picked without replacement from iiiiwiiwww?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v + 16. Give o(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 6*c**3 + 11*c**2 - 26. Let m = -13 - -16. Let k(f) = 0*f**2 + 37*f**m + 5 - 2*f**2 - 73*f**3 + 35*f**3. Determine 11*k(b) + 2*o(b).\nAnswer: b**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 56*u**2. Let j(d) = -7222*d**2. What is j(k(y))?\nAnswer: -22648192*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -94.7 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 396306 and 11979.\nAnswer: 527483286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.03?  (a) 0.3  (b) 0.2  (c) 4  (d) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than or equal to -805\/948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*s - 7 - 81 - 52 = 0 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Are 2 and 70\/127 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*l = 42*l + 1005. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, w: 5}. Give prob of picking 1 m and 1 w.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30 = -32*i + 180 + 14 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the third derivative of 5*v**6\/24 - 19*v**5\/60 - 10*v**2. Find the third derivative of a(f) wrt f.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.3 - 0.2. Let c be 3*-69*4\/44. Let i = c - -19. Put 3\/2, j, i in decreasing order.\nAnswer: 3\/2, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xfpx when four letters picked without replacement from {x: 2, p: 1, y: 1, f: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 + 6)\/(((-8)\/(-8))\/((-3)\/(-1)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (15 + 7*f - 15)*(-4 + 3 + 0) - 3*f - 3*f + f + f + 2*f - f + (2 - 1 - 3)*(3*f - f - f) - f - 1 + 1 + 0*f + f - 2*f to a*f + b and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -5*u**2 + 11*u - 6. Let w(r) = -11*r**2 + 23*r - 13. What is -13*f(x) + 6*w(x)?\nAnswer: -x**2 - 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -0.2*29.562\nAnswer: -5.9124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-28)\/(-861))\/(1\/((-54)\/(-6))*-6)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u + 11. Let q be w(-9). Suppose 3*x + 16 = q*j, j - 3*j + 16 = 2*x. Let m(k) = k**3 - 2*k**2 - 9*k - 11. Is m(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6336*d**3*v + 31*d**3 + d**2 - 74 wrt v?\nAnswer: 6336*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.8 - -0.8. Let j = -2.08 - z. Is 0 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*i + 4*i + 106*i**3.\nAnswer: 106*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 516*n = 512*n - 4*o - 18 - 2, -5 = 5*n - 5*o for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 15*t**2 + 2*t + 3. Let i be f(-5). Suppose b - 214 = i. Suppose b = 5*z + 7. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3387066933.\nAnswer: 3, 1129022311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.8379533 months to centuries.\nAnswer: 0.00153162775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (0 + 5)*15\/25\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 2\/1273, 0.2, -4, -8\/3 in ascending order.\nAnswer: -4, -8\/3, 2\/1273, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 0 = -4. Let v(p) = -2*p + 4. Let j(a) = -6*a + 13. Let o(d) = -2*j(d) + 7*v(d). Let l be o(7). Sort u, l, 1.\nAnswer: l, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:57 AM and 2:26 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7955 - 7951. Solve -2*q - 22 = h*q - 2*s, -4*s = 4*q + 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the second derivative of -5*s**3 - 2*s**2 - 406*s - 2. Determine w(2).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46367 is divided by 1305?\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 51143, 51139, 51133, 51125?\nAnswer: 51115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 8\/13, -4, -8\/7813 in increasing order.\nAnswer: -4, -8\/7813, 8\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 2 - 3*u + (-7*u - u + 3*u)*((-2 - 1 + 1)*(-7 + 12 + 40) + (-2 + 2 + 1)*(3 - 7 + 3)) - 3*u - 3*u - 5*u in the form p*u + m and give p.\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 10\/635427 and -119\/522.\nAnswer: 36854766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 a factor of 369797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 262, 527, 792, 1057?\n\"Answer: 265*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 597 and -12.\nAnswer: -7164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 + -316 - (-9 - (-52 + (-3 - -8)))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4670, 9348, 14026, 18704, 23382, 28060?\nAnswer: 32738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -17 - (12 - (5 - 6))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, -4, 74, -81 in decreasing order.\nAnswer: 74, -4, -11, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 16028999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 16\/9 of a hour?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 76335\/30534*(-176)\/(-5)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-486)\/(-21))\/3*(-182)\/52.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -37 + 40. Solve -r = -0*r + u*s + 5, 3*r - 2*s + 4 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15765099 is divided by 107979?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that 3\/8*z**4 + 14697\/8*z**2 + 105\/2*z - 105\/2*z**3 - 3675\/2 = 0.\nAnswer: -1, 1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vfffwcffwwwfwfhchw. Give prob of sequence wwfv.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5817 - 17716\/3. Is v >= -89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -14*a**3 + 3504*a**2 - 7944*a + 1984 = 0.\nAnswer: 2\/7, 2, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 15500408 to the power of 1\/3, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes after 10:03 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/144 and -37\/2.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/2209 or 0?\nAnswer: 2\/2209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 963406?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:10 AM and 2:34 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1192.5 rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*s + 6*s = -1188. Let c = -342 + s. What are the prime factors of c?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nxfxk. Give prob of picking 1 x, 1 f, and 1 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 not equal to -2067\/1000?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -9*(-22)\/4257 - ((224760\/4085)\/(-12) + 5)\nAnswer: -7\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/((-124)\/(25792\/(-156)))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -18*4\/108*-2*387\/6\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 145, 156, 157, 142, 105, 40, -59?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/4 and (-5)\/4*((-1632)\/(-200) + -6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 670 divided by -27.\nAnswer: -670\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/6, 24, -25?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8407 - -8439. Calculate the remainder when s is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a = 11*a + 45 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the second derivative of -l**5\/10 - 8*l**4\/27 - 5*l**3\/27 + 2*l**2\/9 + 696*l. What is r in j(r) = 0?\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-496)\/310)\/(-1 + -1). Let y be 1 - (-8)\/(-12)*3\/4. What is the third biggest value in y, -2, k, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r - 2851000 = 9104054 - 2599452. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(152)*-2 - sqrt(152))\/(sqrt(16)\/sqrt(2)*-6))**2.\nAnswer: 475\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -18289703 times -0.1\nAnswer: 1828970.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**3 + 9*q**2 - 11*q - 8. Let r(k) = 3*k**3 + 43*k**2 + 13*k - 24. Let j be r(-14). Let h be t(j). Calculate the greatest common factor of h and 74.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -5*o**2. Let i(z) = 52267*z**2. Determine f(i(l)).\nAnswer: -13659196445*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of 11*o**6\/24 + o**4\/8 + 4*o**3\/3 - 34*o**2 + 2. Find the second derivative of d(n) wrt n.\nAnswer: 330*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -66 or -1861?\nAnswer: -1861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86264*o = -86356*o + 1288 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 2\/25, 0.3, -1.572, 2, -1\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 129546*n - 64775*n + 11 - 64769*n. Let d(m) = -6*m - 32. Give -4*d(i) - 11*j(i).\nAnswer: 2*i + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 68962*l**2 - 63543 wrt l?\nAnswer: 137924*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 428*-59358\nAnswer: -25405224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4*-2.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 16\/3 - 211\/21. What is the common denominator of l and 29\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/2 + (-12)\/8. Let g = q + 10. Let j = -3 + g. Solve -x - 5 = -2*b, 31 = -5*x - 4*b + j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16*k + 19*k - 12*k to r*k + p and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -795 - -797. Solve k + 0*k = i*s + 9, k + 15 = -4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 = 2*n + 2*n. Let a be 16\/n - 2\/(-3). Suppose 0*h = 4*h - 28. Solve -z = -h + a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -23 + 53. Let i be 255\/102 - (-21)\/(-6). What is the fourth smallest value in -3\/2, i, 1\/5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10397460?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes before 12:16 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(1053)*2 + -3 + (-3*sqrt(234)\/sqrt(2) + 0)**2.\nAnswer: 18*sqrt(13) + 1055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 5.7, -3\/4, 113?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9.84 - -3.08. Let n = 7 - u. What is n rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7 + 1956*u**2 - 1963*u**2 + 3 in the form j + h*u**2 + c*u and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the third derivative of -7\/6*c**3 - 7\/60*c**5 + 0 + 19*c**2 - 1\/120*c**6 - 7\/24*c**4 + 0*c. Does 12 divide n(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1*(-105 + 4))\/(-1). What is the common denominator of 4\/6 - t\/(-6) and -101\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*c + 2*c**3 + 6*c - 258 + 258.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**2 + 10*n + 6. Let a = 181 + -185. Let b be a + (441\/(-9))\/7. Determine y(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:44 PM and 7:00 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 26 (base 15) in base 10?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rr when two letters picked without replacement from raerere?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 - 21. Let g = i + 40. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(352) - sqrt(352)*-6) + sqrt(22))\/(sqrt(288)*-5))**2.\nAnswer: 9251\/3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -1.4*-0.7\nAnswer: 0.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes after 7:51 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 8 = -12. Let w be ((-2 - -2)\/6)\/(2\/r). Let g(f) = -2*f**3 + f + 1. Let z be g(-1). Solve z*t = -w*t + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 10783366?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -43*h + 19*h + 24. What is the biggest value in -2.7, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 400 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 181 a factor of 20868033?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -528293 divided by -1\nAnswer: 528293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (-12610)\/(-130) + (-12)\/2 + -1 and 14.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 265 + 5?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3.5 - -1.7. Let w = -0.53 + -1.47. Let v = z - w. What is the closest to v in -0.2, -1\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19971 + -19881. Calculate the remainder when 2175 is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 12\/23?  (a) -3  (b) 0.3  (c) 3  (d) -0.467\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2612 and 2804.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 - 1 + 1)*(c + 0*c + c) + 2*c - 2 + 2)*(-26 - 2 - 21 + (-3 + 0 + 1)*(3 + 0 - 2)).\nAnswer: 204*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 189770 is divided by 10512.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1930 <= 1901?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 63882 and 126?\nAnswer: 63882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -15*x + 19*x + 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 310 a factor of 5000741232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*c + 168 = 24*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13)\/(-13)*-2 + (-2 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 23*v**2. Let f(y) = -14*y - 3. Let g(b) = -22*b - 5. Let i(q) = -8*f(q) + 5*g(q). Let u(l) = -1. Let o(d) = i(d) - u(d). Determine x(o(t)).\nAnswer: 92*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*u**3 - 3*u**2 + 12850*u**6 + 273*u**2 - 12859*u**6 wrt u?\nAnswer: -1080*u**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in a - 7*a + 2*a - 23 + 2*a.\nAnswer: -2*a - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 520427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 9256.868775 + 0.2?\nAnswer: 9257.068775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51*s - 46*s - b + 0*b = 15, 3*s + 2*b = 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is a60d (base 16) in base 9?\nAnswer: 64272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jyyykjyyjyykj. What is prob of picking 3 y and 1 k?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-32)\/(-40)*5\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 28717339 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1151*c - 2445 - 158 - 14662 = 0 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -95387100567 + -0.048?\nAnswer: -95387100567.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.91 and 232205.\nAnswer: 232204.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**3 + h**2 - 1. Determine f(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9760513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*f + f**2 + 6 - f**3 + 11 - 19 to c + i*f**2 + k*f + w*f**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 24*t**3 - t**2 + 5*t - 6. Suppose 0 = -4*v + 602 - 34. What is the least common multiple of v and q(1)?\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4905026 a multiple of 1821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 38043 + -23015. What is the greatest common divisor of 104 and g?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 45\/86 + -1\/43. Which is the closest to 1?  (a) j  (b) 0.4  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 + -1. Let u(w) be the third derivative of w**4\/24 - w**3\/3 - 2*w**2 + 7. Let b be u(n). Solve q + 15 = 5*v + 45, 0 = -b*q - 4*v - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 340501227 divided by 30954657\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 4*t**2 + t + 2. Determine n(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 642382?\nAnswer: 2, 13, 31, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.6 + 0.7. Let n(i) = i**2 + 6*i + 5. Let j be n(-6). Let y = -11 + 15. What is the closest to x in j, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 34 - ((629 - 514) + -27 + 0).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1, -1, 24 in ascending order.\nAnswer: -1, 1, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(133) - sqrt(133)*1)*2 - sqrt(133))\/(-2*sqrt(14)\/sqrt(2)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nnk when three letters picked without replacement from {k: 4, n: 14}?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -47 - -50. Suppose 175 = 2*g + 5*k, 4*g - 374 = -i*k + k. Suppose -g*x + 98*x = 546. Is x a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 64\/7 in -1\/8, 1, -0.4, 6, -3\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.85168 centimeters to nanometers.\nAnswer: 88516800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.52, -5, 0.04, -3\/5, -57?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/18)\/(16\/12).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 87020 and 836.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 260983 is divided by 130489.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4289866243.\nAnswer: 13, 73, 4520407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 51\/31 + -499\/341. Which is the nearest to 0?  (a) -4  (b) -5.1  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g**4 - 4*g**3 + 4280*g**2 + 8528*g = 0. Calculate g.\nAnswer: -26, -2, 0, 82\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mi when two letters picked without replacement from eeeieeiseeeiismeii.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 - -17?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-1)\/(-6))\/((-2)\/(-9)). Suppose -22*o + 27*o = 20. Which is the biggest value?  (a) 1\/3  (b) o  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18511001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 44\/(-10) - (-5 - -6)*-4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/((k*k**(1\/3)\/k)\/k)*k)\/(k**(-2)\/k*k)*(k**1)**(35\/6) assuming k is positive.\nAnswer: k**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 5*t = -g + 50, 3*t + g = 38. Suppose 0 = 2*p + 2*p + 4*u - 4, 0 = 5*u + 5. Find the common denominator of 5\/9 and (7 - -1)*p\/t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15152, -29666, -44164, -58640, -73088, -87502, -101876, -116204?\nAnswer: -130480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 83, 155, 225, 293, 359, 423, 485?\nAnswer: 545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c and 1 f when three letters picked without replacement from mhcrlhrf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -4537328, -4537349, -4537370, -4537391, -4537412?\n\"Answer: -21*c - 4537307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53477.\nAnswer: 53, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5*(-15)\/175*7\/(-8)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 291 divided by -295\nAnswer: -291\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -54*x**5 + 1378*x**4 - 265143*x wrt x.\nAnswer: -1080*x**3 + 16536*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 5 = -3. Let h be 0\/(-3*(-3 - x)). Suppose h = -4*u - n + 80, -5*n = u - 0 - 1. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 4*p**4 - 7*p**3 + 12*p**2 - 7*p + 4. Let f(h) = -5*h**4 + 6*h**3 - 11*h**2 + 6*h - 5. Let m(l) = -2*f(l) - 3*j(l). Factor m(i).\nAnswer: -(i - 2)*(i - 1)**2*(2*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 1480*q + 7389. Let g be f(-5). Let c(m) = -32*m - 359. What is c(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 863\/5?\nAnswer: 863\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4.79*0.4576.\nAnswer: 2.191904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 102 = -k + 3*k + 5*d, 114 = 2*k - d. Let y = 110 - 102. Calculate the highest common factor of y and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggg. What is prob of sequence ggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 36790 >= -225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7*45\/(-35) + -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 2, r: 1, c: 2, a: 1, m: 2}. Give prob of sequence arcv.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**3 - 4*i**2 + i - 2. Let j be q(4). Suppose -t = j*t - 24. Suppose -2*v - 4*u + 4 = -0, 3*u = -4*v + t. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4025 + 16099 - 4027 - 4019 - 4028 + i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**2 - 117*d - 881. What is k(-7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times -2212?\nAnswer: 663.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -241*(2\/(-7))\/((-6)\/(-12)). Let q = c + -138. Let z = 0.04 + 4.96. What is the closest to 1\/3 in q, 1\/2, z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z + 2*c = -0*c + 12, 2*z - 3*z - 5*c = z - 48 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 4*d = -0*d + 8, -5*l + 20 = -d. Let t = 9 + 2. What is the smallest common multiple of l and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -21087 by 1362.\nAnswer: -7029\/454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 2*m + 2. Calculate q(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-1\/8)\/(h\/(h*h\/((h*h**(-11)\/h*h)\/h)*h)))\/(h*h*h\/(h\/h**8)*h*h\/(h*h**(-2\/13))))**15 assuming h is positive.\nAnswer: h**(2685\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.617 + 0.417. Let j = 11 - 11. Let q = 0.1 + j. Which is the biggest value?  (a) -0.3  (b) t  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) -0.13  (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 2*i**3 + 2019*i**2 - 2843*i - 1851339. What is k(-1010)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -42 - -3 - 12\/4. Let x = -169\/4 - s. Let o = -0.1 + 0.1. What is the nearest to o in x, 3, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n + 83*n**3 - n - 82*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4.1 + -13.9. Let x = -13189 + 13184. Put l, x, -4\/7 in ascending order.\nAnswer: l, x, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*r = 152*r - 1104. Calculate the lowest common multiple of r and 1768.\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -4\/7, -367, -2\/5, -7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 209\/230580 and 187\/1830.\nAnswer: 230580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5872 = 12*p - 6064 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 131, -6, 1350.\nAnswer: -6, 131, 1350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12779.\nAnswer: 13, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one fifths of a micrometer in nanometers?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + -39)*((-21320)\/26650)\/(2\/7)?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.242 + -9354592900?\nAnswer: -9354592900.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-one halves of a century in decades?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8.49*0.5.\nAnswer: -4.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -0*f + 2*f. Suppose -4*k - l = -5, 4*l = f*k + 4 - 2. Let y(o) = o - k - 2*o**2 + 3*o**2 - 4. Give y(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*l + 5*g + 9, 540*l - 537*l + 9 = 4*g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h**(2\/3)*h*h)\/h**(4\/9))\/(h*h**(2\/7)*h*h**6*h))\/(((h\/(h*h**0))\/h)**(-29)*h**(-3\/4)*h**(3\/5)) assuming h is positive.\nAnswer: h**(-45251\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 213119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(-5)*(-10)\/6. Let s = -117 - -587\/5. What is the closest to -2 in 0, o, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5756.446 - 868316.346. Let o = g + 862362.900696. Let d = o + 197. What is d rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2938, 22091, 74062, 175261, 342098, 590983?\nAnswer: 938326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 92 + -4. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -4*f**3 - 67*f**2 - 101*f + 49. What is a(-15)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 - -21. Suppose 0 = -5*z + 15, -h - z + 0*z = -15. What is the smallest common multiple of h and s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 3, 6\/13, -0.129?\nAnswer: -0.129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*o**3 - 2*o**3 + o**3)*(2*o + 52 - 4*o - 66).\nAnswer: -4*o**4 - 28*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 2 d when three letters picked without replacement from {f: 1, d: 7, i: 4, o: 1, t: 1, v: 4}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f**2 - 4*f + 4*f)*(34 - 14*f - 34).\nAnswer: -42*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the first derivative of 0*b**2 - 318 + 112*b + 0*b**3 + 0*b**4 - 307\/5*b**5. Differentiate q(p) wrt p.\nAnswer: -1228*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes before 1:02 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*s + 3*s + 122 = 2*h, -92 = -3*s - 2*h. Let t be (-40)\/12*36\/s. What is the second biggest value in 39, -2\/9, t?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 75295 and 814.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 6*h + 35 = 0. Suppose h = -3*f - 2*f. Let x = f - -9. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i**3 - 3*i**3 - i + 373*i**4 - 385*i**4)*(0*i - i + 2*i).\nAnswer: -12*i**5 - 4*i**4 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -11243133 - 23?\nAnswer: -11243211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5.2 + 5. Let v be 40\/(-384)*(-112)\/(-700). What is the third smallest value in v, -0.5, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -49.917916 to the nearest integer.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*j + 3*j - 5*t - 35, -29 = -5*j + t. Let k(c) = -c**3 + 3*c**2 + 4*c + 3. Let w be k(4). Sort w, j, -3 in ascending order.\nAnswer: -3, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 s when two letters picked without replacement from dllllqsdldll.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -4*z**3 + 5*z**3 + 3 + 6*z - 6*z**2 - 4*z. Calculate the remainder when 28 is divided by u(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -v + 4 - 23, 2*v - 4*d = -86. Let b = v - -51. Calculate the lowest common multiple of b and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11 + 17. Suppose 3*s + 0*s = p. Let d = 14 - 13. Which is the third smallest value?  (a) 0.5  (b) s  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-372)\/(-2170))\/(54\/(-60)).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**3 + 2*n. Let y = -15 - -15. Let k be s(y). Solve 5*b + k - 25 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3959 - -4031. What is the hundreds digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 423.4209 months in millennia?\nAnswer: 0.035285075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 42\/(-4)*(-68980)\/24143.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 2*r**2 - 2. What are the prime factors of o(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 155060703 is divided by 188?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 111 - 43 = -9*q - 65 - 263 for q.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9931307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -44.8 take away 690082?\nAnswer: -690126.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 3*p = -15. Let y = -3.1 - -3. What is the closest to y in 3\/4, p, -5\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45670977.\nAnswer: 3, 11, 461323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4.936 + -5. Let k = -0.0639941 - d. What is k rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 (base 13) in base 12?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*b + 5 = -5*r + 45*b, -4*r + 5*b - 37 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*p = -13*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -138*c + 124*c + 50232 = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -129602, -129497, -129392, -129287?\nAnswer: -129182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -4*m**2. Let q(c) = -3*c**2 + 0 - 1 + 1. Calculate q(t(k)).\nAnswer: -48*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_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: Divide 215486 by 293.\nAnswer: 215486\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3250331 is divided by 295481.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 55002314 >= 55002316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**2 - 4*m + 3. Let v be (1 - -1) + 0\/(-7). Let q(r) = -6*r**v + 0*r**2 + r**2 + 1. Let x be q(1). Calculate d(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 341522*c**3 - 96737*c**2?\nAnswer: 2049132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 567 is divided by 267.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x = -4*k - 12, 5*k + 24*x - 22*x = -8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 7 and -1.1?\nAnswer: -7.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -23*s + 117. Let y be i(5). Let v(f) = 116 + 114 - 69*f**y - 230. Let d(w) be the second derivative of -w**3\/3 + 2*w. Give v(d(c)).\nAnswer: -276*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1887, 3741, 5595, 7449, 9303, 11157?\nAnswer: 13011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - c - 2*c + 3 = 0, -l - 6 = 3*c. What is the tens digit of 5*(1416\/30)\/(l\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4.26 + 0.46. Let n = 3.3 + g. What is the second smallest value in n, 5, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*r**2\/3 - 32*r + 92\/3.\nAnswer: 4*(r - 23)*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*j**3*w**2 + j**3*w - 13*j**3 - 659*j**2*w**2 - 8*j**2*w - 2*j**2 wrt j.\nAnswer: 30*w**2 + 6*w - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1464?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 9*p**2 + 2*p + 7. Let q(k) = 5*k**2 + k + 4. Let j be (49 + -56)*12\/(-14) - -26. Suppose 0 = 3*s + j - 23. Give s*z(u) + 5*q(u).\nAnswer: -2*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l - 9*l + 40. Suppose -3*p - 5*q = -157, -l*q - 3 = -p + 38. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-39*d**2 + 15950 + 15964 - 32000)*(-4*d**2 - 2 + 2).\nAnswer: 156*d**4 + 344*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (78\/(-12) - -5)\/(1\/(-2)). Factor 3\/8*l - 1\/8*l**v + 0*l**2 - 1\/4.\nAnswer: -(l - 1)**2*(l + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 658 - 382. Suppose -d + 167 = 3*o, -4*o - d = 55 - t. What is the remainder when o is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**3 + 22*y**2 - 15*y + 36. Let k be h(-23). Let a = k - -97. Let p = 91 + a. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -41.7 - -39.5. What is the nearest to u in 4, 2\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes before 10:39 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2182 + 2187. Let b(u) = -u**3 + 4*u**2 - u + 2. What is b(a)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 398055 by 3.\nAnswer: 132685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add 31516 and -8.536.\nAnswer: 31507.464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 945011 a multiple of 320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/((-7)\/((-91)\/3)). Suppose -2*a - 3*b + 9 = a, r = 3*a - b. Let z(k) = 2*k. What is the units digit of z(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*m**5\/5 - 288*m**4\/5 + 5104*m**3\/5 + 1152*m**2\/5 - 4096*m = 0. Calculate m.\nAnswer: -2, 0, 2, 32, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -a**3 - 3*a**2 + 48*a**3 + 31*a**3 + a**2 as r*a**2 + w*a**3 + m*a + q and give w.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 34665.3004 rounded to the nearest 100?\nAnswer: 34700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-9)\/54 + (-137)\/6. Let p = m + 22. Find the common denominator of -1\/10 and -89*(-4)\/8 - p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 12) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 8 = -3*x, -2*x + 5*q - 3*q = 0. Suppose 0 = x*w - w - 24. Suppose 0 = 10*k + 7 - 37. Calculate the greatest common divisor of k and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 65\/3872 and -1\/2904?\nAnswer: 11616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41*u**2 - 47*u**2 - 6*u**2 - 340*u**2.\nAnswer: -434*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p\/(p**(-3\/5)\/p)*p*p*p**(-4\/9)\/p)**(2\/57) assuming p is positive.\nAnswer: p**(374\/2565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6489\/8 - 811. Find q such that 1\/8 - 1\/4*q + s*q**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 21\/41 - 4145\/328. What is the common denominator of 11\/(-2)*(-13)\/9 and f?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -4*n**2 + 29*n. Let j be ((-42)\/(6 + 1))\/((-2)\/3). Let g(k) = k**2 - 7*k. What is j*g(s) + 2*y(s)?\nAnswer: s**2 - 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 18\/14*(-12)\/(-18). Put 0, k, -4, -3\/4 in decreasing order.\nAnswer: k, 0, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1503*m + 160*m + 46380 = 78128 + 113296 for m.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 15*r - 122 + 167. Sort r, -2, -39, 0 in increasing order.\nAnswer: -39, r, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 19*l**2 - l - 1. What is the tens digit of q(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from {x: 7, s: 1, e: 1}.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 11\/3 - (-1 + 3). Let l = -1 + 0.7. What is the third smallest value in 0, f, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3318*j**2*m**2 + 32192*j**2*z**3 + 4*j*m**2*z**3 - j*m*z**2 - j*m*z + 2*m**2*z**3 - 30703*m*z**3 wrt j?\nAnswer: -6636*m**2 + 64384*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 351 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 2*x**3 + 4*x**2 + x - 4. Let r be m(1). What is the third biggest value in 2\/17, r, -0.34?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that 5*k**2\/6 + 5*k\/2 - 10\/3 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 - (23 + -21 + 0 + 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - -1) + (13 + -14 - 11 - -22).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1107 is divided by 137?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9 + -5. Let w = -2 - -4. Let r(d) = -5*d**w - 1 + 0 + 6*d + d**3 - 2 - 2. Calculate r(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-29*k**3 - 14*k**3 + 8*k**3)*(-6*k + 3 - 3).\nAnswer: 210*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the second derivative of -z**8\/28 - 17*z**4\/12 + 7*z. Find the third derivative of b(m) wrt m.\nAnswer: -240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q - 5. Let g = -8 - -15. Let v be z(g). Solve 0 = -5*t - 5*w - 5, 4*w = 2*t - 3*t + v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2941047, -2941037, -2941025, -2941011?\nAnswer: -2940995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*b + b - 9*b)*(8*b**2 + b**2 + b**3 - 5*b**2).\nAnswer: -11*b**4 - 44*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 5*b**2 + 3*b - 2. Let i be h(3). Let v(f) = 34*f + 173. Let s be v(-5). What is the remainder when (5\/(-10) + s)\/(2\/i) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3307920, -6615829, -9923748, -13231683, -16539640?\nAnswer: -19847625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h - 5. What is z(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 778950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -497860, -497858, -497856?\nAnswer: -497854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 2*s**2 - 20*s - 15. Let m = 103 - 122. Is w(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-34)\/(-1870)*210 - (1 + 3). Let y = -2 - -7. What is the closest to -0.1 in y, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 765624 to the power of 1\/2, to the nearest integer?\nAnswer: 875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 30 + -37 + (-59 - -57)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -27898, -28266, -28636, -29008, -29382?\nAnswer: -29758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*b**2*x*y**2 + 3*b**2*x*y + 2144*b**2*y**2 - 104*b*x*y + 11*b - 2*x*y**2 + 45*x - 4*y**2 wrt y?\nAnswer: 6*b**2*x + 4288*b**2 - 4*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 354 and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-26*(-20)\/15600)\/((-2)\/9)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -942 - -928 - (0 + 54)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1a40 (base 16) to base 7\nAnswer: -25410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**3*o)**45)**23*(o**(1\/3)\/o)**(-27)*((o**(4\/9)\/o)\/o*o)\/(o\/((o\/o**(-1))\/o)) assuming o is positive.\nAnswer: o**(46732\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1292555843 less than -116?\nAnswer: 1292555727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -886.5574585.\nAnswer: -885.5574585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -194327376 divided by 95352?\nAnswer: -2038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 164444 (base 7) to base 5\nAnswer: 2022223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 173 + -170. Let f be (j\/13)\/(18\/234). Solve -p + f*m - 2*m = -2, -4*m - 6 = -3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**2\/3 + 8513816*r\/3 - 17027644.\nAnswer: (r - 6)*(r + 8513822)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkkskkkskskkkkssskk. Give prob of sequence kk.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -88*j. Let i(v) = -800*v - 33. Let z(b) = 102410*b + 4235. Let q(o) = 770*i(o) + 6*z(o). Calculate -5*q(g) + 88*u(g).\nAnswer: -44*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(190) + sqrt(190)*3)\/sqrt(10) - (sqrt(19) - 5*(sqrt(114)\/sqrt(6))**2).\nAnswer: 3*sqrt(19) + 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 37206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 22294416245 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 76380 greater than 76380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -29 - -30.31. Let a = -2613.760345 + 2612.450345053. Let j = d + a. What is j rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2343754 is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -2*u - 2*u. Let h(b) = -2 + 344*b - 1 - 341*b. Let i(g) be the third derivative of -g**4\/8 + g**3\/3 - 7*g**2. Calculate u*i(r) + 2*h(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - (6 + -13 + 11).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8 + 5. Let t be ((-4 - f) + 3)*2. Solve -5 = -t*h + 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 5*q + 65, 0 = -5*q + 4*x + 4 - 64. Let i = 26 + q. Solve -m - m = -i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2\/3)\/((-5)\/(-90)). Is (44\/m)\/(2\/174) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a kilometer in meters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 38455 divided by -42\nAnswer: -38455\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10407023?\nAnswer: 11, 946093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-1\/10)*r**(10\/9)*r*r**12*(r**(-1)\/r)\/r)**(-3\/10) assuming r is positive.\nAnswer: r**(-991\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 - 0.6. Let z = -3214 + 6279\/2. Let h = z - -75. What is the nearest to 1 in h, 2, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**2 - 2*y - 1. Let n(z) = -2*z**2 + 8*z - 5. Give n(m) + 3*r(m).\nAnswer: m**2 + 2*m - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 30397 and 90?\nAnswer: 2735730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 6*f - 48. Let b(y) = -2*y. Determine r(b(s)).\nAnswer: -12*s - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 3*k**2. Let a(u) = -59*u**2. Determine a(m(z)).\nAnswer: -531*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 >= -103.479?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -73 + 143\/2. Let o = 114.27 - 112. Let l = 1.73 + o. Which is the closest to 0.1?  (a) l  (b) -2\/3  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the second derivative of 0 + 7\/6*q**3 - 3*q**2 + 1\/12*q**4 + 67*q. Determine i(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3917*i**4 - i**3 + i - 1577392 wrt i?\nAnswer: 15668*i**3 - 3*i**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -17402*i**2 - 7*i - 3. Let g be q(-3). Round g to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -25, -5, 3820, 8.\nAnswer: -25, -5, 0, 8, 3820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 30 and 750?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45 = 5*y, 441*l + 3*y = 445*l - 27 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 844 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 + -886629247.\nAnswer: -886629246.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, 2\/5, 2431?\nAnswer: 2431","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15, 34, 59, 84, 103, 110?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 12 or -2289982?\nAnswer: -2289982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*a - 4*y = 7*a + 176, 0 = -4*a - y + 203. Let q = 11 - -2. What is the greatest common divisor of a and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-5)\/((5 + 1)\/(-30)). Suppose 12*q - 17*q = -m. Solve 11 = -q*i + 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 37*d + 31*d + 2*d**2 + 41*d to p + h*d**2 + s*d and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -45612095*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 65481 - 29616. What is the ten thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -297*i**2\/7 - 592*i\/7 + 4\/7.\nAnswer: -(i + 2)*(297*i - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0931968g to kilograms.\nAnswer: 0.0000931968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*m**2 + 144*m**2 - 199*m**2.\nAnswer: -19*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 7\/2 - 3\/6. Suppose -h + 5 = 5*t - 2, -5*t + 13 = 4*h. Put s, h, -5 in decreasing order.\nAnswer: s, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 15852.93273 - 15853. What is r rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -20 + 23. Let i(g) = 45*g + 11. Let r be i(w). Suppose 2*a + q + 43 = r, 4*q = 3*a - 149. Is a a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 376 - 386. Is (q\/((-160)\/16408))\/(3\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 552880.\nAnswer: 2, 5, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 23*d**2 + 16*d - 45. What is the remainder when j(6) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 4*o = o - 202, 5*x = -4*o + 268. Suppose 4*t + 4*z - x = 0, -t + 2*z = t - 38. Let n = -8 + t. Solve 0 = -0*g - 4*g - n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.4 - 13.4. Let h = a + 11.5. Let i = 4.6 - 5. Sort -4, h, i in decreasing order.\nAnswer: i, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.014348 rounded to 4 dps?\nAnswer: -0.0143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(15\/27)*-1 + -1.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1115 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1065\/11 + -97. Let f = -19 - -20. Is k greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 + 6. Solve 0 = -3*m - f*k + 6, -4*m + m - 2*k = 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -39, -2, -5, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/2 + 2255286\/(-324). Let x = k - -6965. Let b = -2165\/2178 + 6\/121. What is the common denominator of x and b?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 5*w = 22, -6*w + 11*w - 7 = c. Let d(u) be the third derivative of 1\/54*u**4 + 0 + 2\/27*u**c - 7*u**2 + 1\/540*u**5 + 0*u. Solve d(k) = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3259143 litres to millilitres.\nAnswer: 325.9143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4028, 4026, 4024, 4022?\nAnswer: 4020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -3*o**3 + 105*o**2 - 294*o + 192 = 0?\nAnswer: 1, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-1888)\/40)\/(((-3)\/(-15))\/(-1)). Suppose 0 = 5*c - 469 - a. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -46 - -48. Let q(g) = -g**3 + 5*g**2 + 11*g - 4. Calculate the remainder when 15\/((-129)\/(-60) - y) is divided by q(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30 - (-39 - -11 - -19)) + -20.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1211803 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 prob of picking 2 u and 2 l when four letters picked without replacement from {l: 7, g: 2, u: 7, w: 1}?\nAnswer: 63\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -50 + 77 + -38 + 20 + -1 + -1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -3*d**2 + 45*d - 3. Let m = 3815 - 3800. Determine w(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-50)\/(-30)*(-60)\/(-4). Let b(s) = -9*s + 1. Let h be b(2). Let z = h + t. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the second derivative of 113*h**7\/6 - 10*h**3\/3 + 21*h**2 + 101*h + 4. What is the second derivative of c(b) wrt b?\nAnswer: 15820*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -6ed57 + -6b?\nAnswer: -6edc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x**3 - x**2 + x. Let d(j) = j**3 + 10*j**2 + 9*j + 2. Let a = -2 + 4. Suppose -2*p - 17 = p + 5*r, a*p + 3*r = -12. Let i be d(p). What is g(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.059, 36, 50\/31?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) 0.02  (c) 3\/2  (d) 0.5  (e) -6512  (f) -8  (g) -1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1 and 1366964?\nAnswer: 136696.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 18 = -0*f. Let r(a) = 2*a**2 - 40*a + 27. Let i be r(18). Let c be (f\/i)\/(1\/(-25)). Solve -6*q + q - c = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-12)\/90)\/((-1)\/3). Which is the second biggest value?  (a) 1  (b) r  (c) 4  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -6289, 0 in ascending order.\nAnswer: -6289, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69*q = -36*q + 173670. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -46569, -46573, -46577, -46581?\nAnswer: -46585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 352611895 to the power of 1\/3, to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, -120, 0, 1.75 in decreasing order.\nAnswer: 1.75, 0, -10, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8300014 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1002 times -2?\nAnswer: -2004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 46 = -0*r + r, 4*r + q = 146. Find the common denominator of 64\/9 and 2\/r*-1*80\/(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 15016 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 2 - 20 - (-1083 - -1087)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -1 + 0 + x**2 + 1 - x. Suppose 2*a - 3 = -a. Let w(y) be the first derivative of -2*y**3 + 3*y**2\/2 - 2*y + 1. What is a*w(q) + 4*k(q)?\nAnswer: -2*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -53311*x**3*y - 3*x**2*y**3 - 5*y**3 - 53008*y**2 wrt x?\nAnswer: -159933*x**2*y - 6*x*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1050983 is divided by 88?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z + 2*z + z**3)*(-296 + 127 - 13).\nAnswer: -182*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 543322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = q. Suppose 3*w + 0*w + o - 28 = 0, 5*w + 4*o - 49 = q. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 59348 is divided by 468?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((sqrt(448)*2*-1 + sqrt(448))\/(sqrt(24)\/(6*sqrt(18)\/sqrt(3))))**2*-6.\nAnswer: -24196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -8*x**3 + 822*x**2 + 176*x + 3085. What is d(103)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 577 a factor of 1445582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + 3*d = 15. Calculate the greatest common divisor of d and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 3158*f + 6. Let y(b) = -6319*b - 10. Calculate 5*h(l) + 3*y(l).\nAnswer: -3167*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-12)\/(-3) - -1269)\/(2\/(-12)). Let w = 15049 + q. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8058244 is divided by 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2754504 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 128 or 130?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9754 and 7.\nAnswer: 68278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 87 + -47. Let r be (-10)\/4*(-112)\/f. Solve 4*w = 5*v + 14, 8*v - 3*v = -3*w - r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dwcddkccccbddkwc. What is prob of sequence bdc?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y = 4*y + 15. Suppose 0 = y*z - 0*z - 75. What is the remainder when z is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 3*r**3 + 6*r**2 + 12*r + 9. Let q(o) = 2*o**3 + 3*o**2 + 6*o + 5. Let j(u) = -5*c(u) + 9*q(u). Suppose j(n) = 0. Calculate n.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ae when two letters picked without replacement from {x: 9, e: 2, a: 7}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k + 14 + 4. Let r be (4\/k)\/((-1)\/(-3)). Solve r - 4 = 2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 36996 * -0.3.\nAnswer: -11098.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, k: 2, p: 2}. What is prob of sequence ep?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 1)*(-3 + 2 + 2)*(-2 + 4 - 4)*(-t - 2 + 2).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -9 + 126\/24 - -4. Put 2, 18, j, 0.3 in decreasing order.\nAnswer: 18, 2, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) 0.2  (c) 0  (d) -3  (e) -4961\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r - 4*r - 2*r + 9*r - 17. Let g be z(6). Which is smaller: 13\/2 or g?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the first derivative of 35 + x - 2\/3*x**3 + x**4 + 0*x**2. Calculate t(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (4\/(-26) - 6759\/(-49257)) + 0. Let r = d + -20587\/2526. Calculate the common denominator of (-1906)\/336 + (-6)\/21 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 + -2.8. Let a = 2.4 - -1.6. Let v = a + -4. What is the closest to v in 1, -1\/4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 33701*k*m*n + 3213*k*m - 2*m*n + 3736*m + n - 863 with respect to k.\nAnswer: 33701*m*n + 3213*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11*j**3 + 2*j**2 - 5*j**3 - 20*j**3 + (3*j**2 - 6*j**2 + j**2)*(4*j - 4*j + 2*j).\nAnswer: -18*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 4*u. Let y(t) be the first derivative of -3*t**2\/2 + 13*t - 993. Determine y(w(f)).\nAnswer: -12*f + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(2\/5)\/(h*h**(-1))*(h**(2\/3))**(6\/19) assuming h is positive.\nAnswer: h**(58\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -860, 1810, 2 in descending order.\nAnswer: 1810, 2, -860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**3 - 9*a**2 + 8*a - 6. Let i be (-24)\/(-28) - 1036\/(-49). Let s be (i\/(-11))\/((-2)\/8). Give y(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - ((-4 - 0) + 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = 25 - 15. Determine x so that -81*x**2 - x**5 - 3*x**3 + 2*x**5 + x**4 - 82*x**l - 2*x + 158*x**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 127\/(39116\/(-3))*4*3*1\/3?\nAnswer: -3\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*d = -61*d + 96. Suppose 99*r = 95*r + d. Suppose 0*z + r*z - 1296 = 0. Does 24 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (46\/3)\/(1 - 161\/147). Let y = -7 - b. Let s be 56\/6*9\/6. Calculate the greatest common divisor of s and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 1 - 1)*(784*b - 389*b + 2319*b - 237*b + 1789*b) to the form c*b + l and give c.\nAnswer: -12798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 - -3330023233?\nAnswer: 3330023232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8580.959mm to centimeters.\nAnswer: 858.0959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2013 is divided by 326.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-465)\/9300*(-25)\/(-2).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.41 - -0.82. Let n = 0.09 + w. Which is the closest to 1\/4?  (a) 0.3  (b) n  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62074 is divided by 7759.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 8450131 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (16\/(-5))\/(72\/(-180))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -66*t + 1325. Is 21 a factor of o(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:22 PM and 9:12 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 + -32483286?\nAnswer: -32483288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -247*b - 90*b = 89*b - 22578 for b.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqk when three letters picked without replacement from {k: 2, q: 8, w: 4}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 - (35 - (-5 + 52)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -1 + -2*sqrt(176) + 4 + (-5 + -2 + sqrt(176) - sqrt(176)) + 5 + -1*sqrt(176))**2*-6.\nAnswer: -9528 - 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-10 - 2)*1\/(-3) - 0. Suppose -n + 55 = s*n. Suppose -14*o + n*o = -9. Solve o*t = t + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 319, 391, 463, 535?\n\"Answer: 72*x + 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -160*s**3 - 24*s**2 - s + 11. What is the hundreds digit of d(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -14*r**5 + 1652*r**4 - r + 272962 wrt r.\nAnswer: -280*r**3 + 19824*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**2 + z - 4. Let l be k(-3). Let c(p) = -3*p**2 + 3*p**2 - 3*p**l + p**2. Let t(m) = -2*m. Calculate t(c(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 0*i = 4*i - 9, 3*i + 2 = -x. Let f = -8 - -11. Let s(p) = 3*p - 29*p**3 + 11*p**3 - 4*p**2 + 17*p**f - 1. Determine s(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 164 = -4*x - q, 0 = -x - 5*q + 41. What are the prime factors of x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes after 9:33 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**2 - 10*g + 3. Let y(w) = w. Let l(z) = x(z) + 4*y(z). Let k be (6 + -7)\/(1\/5)*-1. Calculate l(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 14 = -74. Let o = 72 + n. Suppose -o = 2*z - 100. Is z a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.10142 != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 31\/5, -15, 0.4, 4?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1460 - 1396.0892?\nAnswer: 63.9108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0 + -1)*(-1 - 0). Let v(x) = 25*x**2 + 2*x - 1. Suppose -n = -3*z + 3*n + 23, 0 = 5*z + 4*n - 49. Calculate the remainder when v(l) is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 96751, 96786, 96821, 96856?\nAnswer: 96891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 8059, 4179, 299, -3581?\n\"Answer: -3880*k + 11939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -684 - -677. Let o be -8 + (-3 - j) + (2 - -7). Solve -o*b + b = -0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**2 + 35*q + 33. Determine n(-34).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**3 - 1. Let b be v(0). What is the remainder when (b - -8)*1 + -1 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 126421464 and 1780584.\nAnswer: 126421464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -2*y. Let g(t) = 373 + 369 + 3*t**2 - 733. Give a(g(w)).\nAnswer: -6*w**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 715 - 712. Solve 7*q - 8*q - h*f = -8, 3 = f for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/12*3*((-60)\/12)\/15\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 410591682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes before 2:41 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 15  (b) -19  (c) 0  (d) -5  (e) 133  (f) 0.4  (g) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 262757 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 6*v. Let y(q) = -15*q + 2. Let d(l) be the first derivative of 126*l**2 - 35*l + 104. Let m(n) = 4*d(n) + 70*y(n). Calculate o(m(z)).\nAnswer: -252*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2380 and 8977190.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 + 11 + -21 + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aaq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 25 - 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10100010110111 - 110100?\nAnswer: 10100010000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 80\/90*(-1)\/((-16)\/12).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**3\/(k*k**(2\/5))*(k**(-2\/15)\/k)\/k*k**(-1))\/((k**(1\/4))**(3\/13)\/(k**1\/k)**(-36)) assuming k is positive.\nAnswer: k**(-1241\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -207816*o + 196449.\nAnswer: -207816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1064 + -1034. Suppose 18 = 2*g - 14. Suppose o + o = g. Calculate the remainder when z is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -281, 2, -3, 0, 111, 5, -2 in decreasing order.\nAnswer: 111, 5, 2, 0, -2, -3, -281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1\/(1869\/(-6)))\/(8\/(-14)). Which is greater: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 9*u**3 + 9*u**2 + 11*u + 5. Let w(b) = 13*b**3 + 13*b**2 + 16*b + 7. Determine -7*t(q) + 5*w(q).\nAnswer: 2*q**3 + 2*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -38 + -3a?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*l - 49 = -1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v - 4*w = -2*w + 26, 4*v - 3237*w = -3248*w - 102 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/2)\/(9\/(-54))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8769?\nAnswer: 3, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 204 = 5*l - 2*j - 131, 3*l + 2*j = 185. Suppose 3*v + 4*d = l, -4*v - 4*d + 2*d + 70 = 0. Solve -v - 7 = -11*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6889 is divided by 6827.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -204434, -408385, -612336, -816287, -1020238?\nAnswer: -1224189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -34431 - -80602. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 117495?\nAnswer: 3, 5, 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 5*l = 51, 2*v + 0*l - 4*l = 58. Solve 3*d - k + v = 0, 5*d = 5*k + 1 - 46 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 34319 - -9194?\nAnswer: 43513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1386, -4752, -10362, -18216, -28314, -40656?\nAnswer: -55242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -57425*d + 57434*d - 270 for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -2*t**4 + 4326*t**3 + 158330*t**2 - 4326*t - 158328 = 0.\nAnswer: -36, -1, 1, 2199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*c**4\/7 - 13904*c**3\/7 + 607854*c**2\/7 + 19835786*c\/7 + 127203056\/7 = 0. What is c?\nAnswer: -472, -47\/4, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 504 (base 6) to base 14.\nAnswer: d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 708 - 553. Calculate the least common multiple of d and 25.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1400 (base 5) in base 14?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -230 or -231?\nAnswer: -231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 727*a - 438*a - 55950 = -1576*a for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 218 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 292337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 3 = 4*v - 2*b, 0 = -5*b - 15. Suppose 0*j - 6 = j - 5*p, -2*j - p - 12 = v. Let s(i) = -i**3 + 6*i - 12. List the prime factors of s(j).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -3*n - 1. Let p(k) = 8*k + 3. Let y be p(-1). Let i be u(y). What is the greatest common factor of 28 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*k + 274*k + 117*k.\nAnswer: 366*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1003632.\nAnswer: 2, 3, 7, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 175993 is divided by 100?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-3))**(-17)\/(g\/(g\/g**(-1\/4)*g)*g\/(g*g**2)*g) assuming g is positive.\nAnswer: g**(213\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 14*h**3 - 39*h**2 + 31*h + 31. Determine m(-5).\nAnswer: -2849","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(40)*-1*-2)\/sqrt(4))\/((sqrt(30)\/sqrt(2) + sqrt(15))\/sqrt(3)*3).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 12, -10*p + 13*p - 13 = -u. Solve n - 2*z = 3*z - 19, 3 = -3*n - p*z for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes before 5:10 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(252))**2 - sqrt(14)\/(4*sqrt(2)).\nAnswer: -sqrt(7)\/4 + 247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1470446831 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) 1939  (c) -3  (d) 3.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 64758*f**4 - 8*f**3 - 1490*f**2 + 448*f wrt f?\nAnswer: 1554192*f - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**3 + 14*s**2 - 12*s + 9. Let d be z(13). Suppose 506 = 11*p - d. Calculate the least common multiple of p and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 451925, 451904, 451865, 451802, 451709, 451580?\nAnswer: 451409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 272, 486, 698, 908?\nAnswer: 1116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*f = -0*f - 288. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 77376.\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of u**4 + 20370720*u**3 - 2*u**2 + 25228009*u - 1 wrt u.\nAnswer: 24*u + 122224320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of 2249*t**3\/3 + 115*t**2\/2 - 4953. Find the second derivative of p(j) wrt j.\nAnswer: 4498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 648019618.4 rounded to the nearest 100000?\nAnswer: 648000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(304) + -1 + 6*sqrt(57)\/sqrt(3).\nAnswer: -1 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -89290000 rounded to the nearest one million?\nAnswer: -89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 204.58 - 200. Let m = s - 0.58. Sort -2\/5, -1\/5, 6, m in increasing order.\nAnswer: -2\/5, -1\/5, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -15\/22 and 85\/4 - (-1 - 1).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 58 + 19. Suppose 4*y = -25 + m. Let i(h) = -h**3 + 8*h**2 + 2*h + 7. Let s be i(6). What is the highest common divisor of s and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -64 + 64. Suppose -4*s - 10 + 126 = v. List the prime factors of s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -43233 - 4*m + 86465 - 26*m - 4*m**3 - 43240 in the form f*m**2 + c*m**3 + q + i*m and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence egge when four letters picked without replacement from ejjaoogjagaejgggje.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**3 - 46*f**2 - 1508*f + 4123. Calculate s(-24).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 611900 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: Divide -197725509 by 101763.\nAnswer: -1943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in twenty-one fifths of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1001 - -1001021210?\nAnswer: 1001020202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 6200109 a multiple of 1254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, 0, 2\/11, -11.35918 in increasing order.\nAnswer: -11.35918, -0.5, 0, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -36344000 to the nearest 1000000.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 6.186223cm?\nAnswer: 61862.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d - 14 = -41263*y + 41265*y, 4*y + d = -19 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.269772 - 0.230228. Let z = 1.03 - 1. Let k = z - 0.43. Which is the second biggest value?  (a) t  (b) -1\/6  (c) k  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**0)**(2\/29)*y**(-4)\/y**(-2\/11))\/(((y**(-6)*y)\/y*y)\/y**4*(y\/y**4)\/((y**(-3\/2)*y)\/y)) assuming y is positive.\nAnswer: y**(147\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1024814971?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2\/239 + 299\/7170. Let o(b) be the second derivative of -7*b + 1\/5*b**5 + 0 - 5\/12*b**4 - p*b**6 + 0*b**2 + 1\/3*b**3. Let o(l) = 0. What is l?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 417 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 2, 0.5, 5 in increasing order.\nAnswer: -2, 0.5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 143*z**4 + 221*z**4 + 26*z**4 + (2*z**4 + z**4 - 2*z**4)*(-2 + 0 + 0) to the form n*z + m + y*z**4 + j*z**2 + v*z**3 and give y.\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g + 8 - 7 + 1)*(-2 + 2 + 15).\nAnswer: 30*g + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -13669.402 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.3  (b) -2  (c) 2  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 91137 is divided by 22771?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1*(1 + 1 - 4). What is the second derivative of -i*k + 0*k**5 + 5*k**5 + 0*k**5 wrt k?\nAnswer: 100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11.96177*-0.06\nAnswer: -0.7177062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 smaller than 242\/523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -345, -5 in descending order.\nAnswer: 5, -5, -345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 9530.027mm?\nAnswer: 0.009530027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 11\/2*o + 5\/4*o**2 - 12.\nAnswer: (o + 6)*(5*o - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 511 less than 1223432?\nAnswer: 1222921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 12831.35ug?\nAnswer: 12.83135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -54*z - 8. Let l be m(-1). Let v = l - 40. Let g(t) = -4*t + 28. Let b be g(v). Calculate the greatest common divisor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 3249853, 6499705, 9749557?\n\"Answer: 3249852*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -4*c**2 - c - 1. Suppose -9*j = -13*j - 8. Let m(u) = -u + 1. Let q be m(-3). Let n(x) = 13*x**2 - 4*x**2 + q + 2*x - 1. Calculate j*n(t) - 5*d(t).\nAnswer: 2*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**2)**(-46))**(-37) assuming b is positive.\nAnswer: b**3404","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -6*r - 6. Determine n(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 43919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 5760536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the second derivative of -y**4\/12 + y**3\/3 + 3*y. Calculate c(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1e + -d842?\nAnswer: -d823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/54703 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2803 a factor of 572221238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51782 is divided by 312?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*q**3 - 10*q + 10*q + (-2*q + 2*q**2 + 2*q)*(-2 - q + 2))*(4*q - 19*q + q).\nAnswer: 224*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -115 + 115. Suppose 4*g - 8 = 2*g - h, 0 = 2*g - 3*h. Solve f*t = g*t + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-2\/5))**(-2))**(1\/15)\/((c**(2\/3)\/c)**(1\/29))**33 assuming c is positive.\nAnswer: c**(941\/2175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*u + 2*b = 78, 13*u + 2*b = 14*u - 2 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 55, 48, 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -45\/1573 and -15\/418.\nAnswer: 59774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(9072)*-2 + -4)*3)**2.\nAnswer: 129600*sqrt(7) + 8168400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -1495 - 1503 - 16308*l - 1494 + 4492 as y + z*l and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -346 + -542. Suppose -5*s - 94*z + 93*z - 7041 = 0, -5*z = -s - 1429. Let i = x - s. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -1. Let w(s) = 8*s**2 - 40*s + 1. Let i be w(5). Let l(r) = -11*r**2 - 11. Determine i*l(a) - 11*k(a).\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5999.076 + -6029. Let u = n + 30. Round u to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 9 + 39?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = 138 + 162. Suppose 5*t - o = 135. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15749681?\nAnswer: 269, 58549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i**3 + 7*i**2 + 18*i + 65. What is r(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9 + 5. Suppose 391*d - 648 = -1039. What is the nearest to d in -2\/7, q, 2\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -35  (b) -4  (c) 2  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 14310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**3 + 11610*f**2 - 14976900*f + 6440067000.\nAnswer: -3*(f - 1290)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 18 + -15. Suppose -2*u = 3*g, 2*u = -2*g - a*g. Suppose u = 3*s - 5*s + 38. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c + 35 = 5*u, -96*u + 6*c - 2*c + 300 = c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-2\/5)\/o)**(-1\/23)*(o**(-19)*o)\/(o*o**(-1\/29)\/o*o))**(2\/11) assuming o is positive.\nAnswer: o**(-126094\/36685)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -32*k - 11. Let q(h) = 11*h + 4. Suppose 0 = -0*j - 81*j + 486. Give j*w(g) + 17*q(g).\nAnswer: -5*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 19715 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 67, 71, 99, 163, 275, 447?\n\"Answer: 2*m**3 - 10*m + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 7 + -87 - (1 + -3). Let m = f + 48. Let j = m - -90. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 = 2*k + 2*k. Suppose 5*m - k - 35 = 0. Let p be (-10665)\/(-1422) - 10\/4. Solve -p*f + 4*q - 14 = m, 2*q = 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (30\/(-27))\/(-5) + (-158)\/(-18). Calculate the highest common divisor of 144 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1*15\/(-12))\/((-14)\/56)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1977 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*2*(-6)\/20.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -125\/7 + -9\/14. What is the common denominator of (22\/(-12))\/((-9)\/72) and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2129316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -882 divided by 42.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*c - 48863 - 167581 = 0. What are the prime factors of c?\nAnswer: 17, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 12 = 5*u. Let t be 3*(-2 - -1) + -8. What is the lowest common multiple of (-24)\/(-132) + (-218)\/t and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes before 7:04 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 55734 to the power of 1\/2, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes before 4:24 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -795 divided by -136478.\nAnswer: 795\/136478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(252) + 1 + sqrt(252) + 3 - ((sqrt(252) + -2*sqrt(252) - sqrt(252)) + 5) - (1 + sqrt(252) + 1 + -2)) + 2 + 4)**2.\nAnswer: 180*sqrt(7) + 2293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 20, 61, 140, 275, 484?\n\"Answer: 3*x**3 + x**2 + 17*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*l**3\/5 + 18*l**2\/5 + 3*l\/5 - 18.\nAnswer: -3*(l - 5)*(l - 3)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001859037 to seven dps.\nAnswer: -0.0000186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -215*p**2 - 207*p**2 + 424*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s\/s**(-1\/3)*s)*s*s**(-1\/4))\/(s\/(s\/(s\/(s\/s**6*s)))*s**8))**22 assuming s is positive.\nAnswer: s**(-1793\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -104 - -628. Suppose -2*y = -106 - k. Calculate the remainder when y is divided by 108.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10*h**6 - 1492792*h**4*z**2 + 302710*h**2 - 40*h*z**2 wrt h.\nAnswer: -1200*h**3 - 35827008*h*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 161439382?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 + -755356?\nAnswer: -755357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/(81\/6)*((-90)\/(-4))\/3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l - 2. Let z be n(-2). Let k = z - 1. Let h = 4 + k. Solve -4*q + 15 = -2*c + h*c, q + 3*c = 1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-107 - (-40 - 34)) + -4?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 3, -2\/63, 12, -120, 5?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7208 and 136.\nAnswer: 7208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -936 - -936. Put -1, l, 26 in ascending order.\nAnswer: -1, l, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0.4, -73 in decreasing order.\nAnswer: 2, 0.4, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -36134 (base 10) to base 8.\nAnswer: -106446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2*1\/(-7))\/(2890\/(-1156)*(-12)\/10185)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.07, -2\/63, 90622 in ascending order.\nAnswer: -2\/63, 0.07, 90622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*g + 2*g - 7*g + (-3 + 2 - 1)*(-4 + 4 - g) - 2*g + g + 0*g + 2 + 2*g - 2)*(2 + 2 + 0)*(7 + 2 - 4) to the form w + f*g and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 1\/3  (b) 11  (c) -3\/4  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -34.2 + 35. Let f = z - 0.3. Which is the third biggest value?  (a) -4\/7  (b) f  (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.2105 rounded to two dps?\nAnswer: 9.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((0 + sqrt(1573))**2*-2 + -2)*1.\nAnswer: -12592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2196 is divided by 110?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -1, -5, 20 in ascending order.\nAnswer: -5, -1, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1*(-24)\/64*2\/3\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -4751.7 times -4\nAnswer: 19006.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 87, 144, 161, 120, 3?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the first derivative of 38 + 12*r - 1\/3*r**3 + 1\/2*r**2. Find y, given that s(y) = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -2*w**2 - w - 1. Let c(j) = 15*j**2 - 7*j - 5. Give -c(d) + 5*y(d).\nAnswer: -25*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 169\/13 - 6\/(-4)*126\/27.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, l: 2, n: 1, d: 2, g: 1, c: 1}. What is prob of sequence ncdg?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m = h - 0*m + 5, 0 = 5*h - 5*m - 35 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 157?  (a) 1\/2  (b) 0.06  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 261 - 2869\/11. Let w = 0.07 + -0.37. Sort 0, h, w in descending order.\nAnswer: h, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 137.1167 years in months?\nAnswer: 1645.4004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -6989, -7051, -7155, -7301, -7489?\n\"Answer: -21*r**2 + r - 6969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1157948 is divided by 323.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 4874 - 2839 = 32867. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 76 - 530\/7. Let t = 0.11 + -0.11. Let y = 0.1 + t. Sort r, y, 2.\nAnswer: y, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 6*g - 2. Let x be f(1). Suppose -x*c - 13 = -l - 2*c, 8 = -4*l - 4*c. Solve -6 = -l*v - 3*t, 4*t - 14 = -v - 0*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k*k**(-2\/5)))**(1\/2)*(k**(1\/3))**(-32) assuming k is positive.\nAnswer: k**(-157\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -20 + 27. Let v(m) = -7*m**3 + 7*m**3 - m**3 + a. What is the units digit of v(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/(b**(-9)*b))\/b*b)\/b**13*((b*b**(10\/9))\/b)\/(b*b*b\/(b*b**(-13))*b))**(10\/13) assuming b is positive.\nAnswer: b**(-1700\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let l = -101 + 176. Let d be -3 + (-2)\/(((-4)\/(-10))\/(-1)). Suppose 0 = d*v + 17 - l. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1384 + 13428 = 588*z - 59*z for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -1, -4\/7, -1\/5, 232, 0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 8447609573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1693*s - 1435?\nAnswer: 1693","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {b: 11, i: 2, z: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 5*a + 40. Let b be i(-10). Let l = 57 + b. What are the prime factors of l?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 126\/26 - (-2)\/13. Suppose -y + 2 = -2*a, -u*y + y - a = -8. Calculate the lowest common multiple of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -49c37 (base 14) to base 3\nAnswer: -100011221212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 8410, 3\/28, 3\/5 in descending order.\nAnswer: 8410, 3\/5, 3\/28, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/58032 and 7\/8424?\nAnswer: 522288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 18*o**2 + 26. Let j(y) = -2*y**2 - 3. Let i(t) = -52*j(t) - 6*s(t). Let p(c) = c + 3. Let w be p(-3). Let g(h) = w*h - 3*h + 5*h. What is g(i(m))?\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 145b5 (base 12) in base 3?\nAnswer: 1110002202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 123159662 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:12 AM and 5:24 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -46690, -42938, -39186?\n\"Answer: 3752*g - 50442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the third derivative of -r**6\/60 + r**5\/2 + 17*r**3\/6 - r**2 - 73. Differentiate d(t) wrt t.\nAnswer: -6*t**2 + 60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0098398225 rounded to 4 decimal places?\nAnswer: 0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -282, -280, -278, -276, -274, -272?\n\"Answer: 2*x - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 451.4375ml in litres?\nAnswer: 0.4514375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1.22228 - 0.214072946\nAnswer: -1.436352946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*x - x - 5*x)*(-2*x**3 + 0*x**3 + x**3) + x**4 + 2*x**4 - x**4.\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4743, -4471, -4199?\nAnswer: -3927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 2*v - 39 + 309 = 0, -4*i - v + 267 = 0. Factor -3*k**2 + 6 - 27 - 19 - i*k - 80.\nAnswer: -3*(k + 2)*(k + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1919527 - -1919529.923762. Let u = -2.823762308 + w. Let l = u - 0.1. Round l to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3 - 2)*1 - -3. Let x be (q\/(-1) + 9)*1. Suppose -n - 2*n = 2*l + 11, 0 = 3*l + 12. Is x less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2110425 divided by -15?\nAnswer: -140695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -5*a**2 + 4*a + 4. Let g(x) be the first derivative of x**2\/2 - 9. Let m(k) = 12*g(k) - 3*w(k). Find the first derivative of m(y) wrt y.\nAnswer: 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-26 - -28)*((-30)\/4)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(300) + -4 + (sqrt(300)*-1)**2 - (((1 + sqrt(300))*6)**2 + sqrt(300)).\nAnswer: -10540 - 720*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/((-846)\/(-11))*(-6 + (-4 - -2)) and -49\/18.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001397 to six decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43349539.\nAnswer: 43349539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r - 2 - 18. Suppose 2*p + 2*k = -3*p + 323, r*k = 20. What is the greatest common factor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-16)\/(-10) + 24\/(-40). Let n(b) be the first derivative of 1\/3*b**3 + 0*b**2 + v - b. Differentiate n(x) with respect to x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 288*y + 432 = 280*y. Is 15 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-9)*1)\/(3\/(-18)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -2*f + 6*f + 46, -4*f = 16. Put -5, 4, -1, b in decreasing order.\nAnswer: b, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -3  (b) 1  (c) -699\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1963772735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 14411 - -241351?\nAnswer: 300202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 58, 94, 130, 166?\n\"Answer: 36*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12 + 184*g**3 + 12 - 179*g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 26 + -15. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9213 divided by 309?\nAnswer: -3071\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -72 - -71. Which is the smallest value?  (a) -1\/3  (b) -18\/11  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 86147 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1283\/1052 - 8\/263. Which is the smallest value?  (a) m  (b) 1  (c) -7  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 10 = -0*f. Find the third derivative of -k**6 - 8*k**2 + 3*k**f - 6*k**6 wrt k.\nAnswer: -840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 49789, 99572, 149343, 199096, 248825?\n\"Answer: -j**3 + 49790*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 38 + -26. Let i be (-795)\/(-36) + (-16)\/192. Let z(p) = -10 - 12 + l*p + i. Let r(a) = a**2. Give z(r(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-7 + (-3 - 0))*1. Let y = 94 - d. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3 - 21\/5)*8\/(-3). Suppose 0 = -2*n - 2*n + 16. Is g > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is y in -30*y**4 - 235*y**3 - 435*y**2 + 120*y + 80 = 0?\nAnswer: -4, -1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 175 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 - 11387\nAnswer: -11386.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*t**2 + 3*t**2 - 3*t**2 - t**3 - 3*t**2 to the form v*t + s*t**3 + h*t**2 + q and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11648 divided by -1.\nAnswer: 11648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000720528 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 5683481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - 14\/(-4)) + 26\/(-36)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -259543 + 259576 = g - h, 8*g + 78 = -h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**3 - 12*y**2 - 13*y - 9. What is the units digit of c(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 8027*x**2 - 90*x + 6. Let o(c) = -8025*c**2 + 105*c - 7. What is -6*o(j) - 7*w(j)?\nAnswer: -8039*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 253128 and 34?\nAnswer: 4303176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -44*h**5 - 29*h**4 - 4*h**2 + 344790*h.\nAnswer: -880*h**3 - 348*h**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (14\/49)\/(2\/28)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 - 3 + 0)*(-3*o - 7*o + 2*o) + (-5 + 0 - 2)*(-4*o + o + 9*o) to r*o + w and give r.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 45984227?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 71129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -219508 divided by 4.\nAnswer: -54877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 24 + 2*u**2 + 18)*(u + u - u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -0 - 4. Let h = 777 + -775. Let g = h + s. Solve -g = -3*c + c, 5*a + 2*c - 24 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*i = -23*i + f + 13490, 5*i + 5*f - 16850 = 0. What are the prime factors of i?\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.03639*0.2.\nAnswer: -0.007278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccs when three letters picked without replacement from hscccdchscch.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 64207270 a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 79790548598 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -6*g**3 - g**2 + 9*g. Let z(y) = y**3 + y**2. Let o(a) = 5*w(a) + 35*z(a). Find h, given that o(h) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the first derivative of -2*n**5\/55 - 3*n**4\/22 + 4*n**2\/11 - 4. Factor r(h).\nAnswer: -2*h*(h - 1)*(h + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100001101111 (base 2) to base 7.\nAnswer: 6203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*i = 30*i - 2*c, -2*i + 35 = 3*c. Solve 0 = -i*d - 26*d + 33 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -87 + 785\/9. Let r = 8.9 + -9. What is the closest to 1 in r, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 30788, 30783, 30768, 30737, 30684, 30603, 30488?\nAnswer: 30333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n - 5*y = 8, 6 = y - 4*y for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 162504739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:18 PM and 4:40 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -3658871790 to the nearest one million.\nAnswer: -3659000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, u: 6}. What is prob of sequence uu?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -34*u**3 - 11*u**2 - 40. Let t(r) = -4*r**2 + 2*r**2 + 4*r**2 + 8 + 7*r**3. Let m(i) = -2*c(i) - 11*t(i). What is the derivative of m(n) wrt n?\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0\/((10 - -2)\/(-4)). Solve w = 4*t + 21 - 13 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + sqrt(1584) + 2)*1 - (sqrt(484)\/(sqrt(55)\/sqrt(5)))\/(sqrt(48)\/sqrt(108)))**2.\nAnswer: -54*sqrt(11) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**2 - 5*o + 7. Let l be u(-8). Let i = 29 + l. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 177 + -221. Let w(u) = u**2 + 2*u - 1. Calculate the remainder when z\/77 + 764\/14 is divided by w(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21\/4 >= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/(-10) + (-258)\/(-30). Solve 3*j = 3 + i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 74661 and 246?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gd when two letters picked without replacement from {g: 2, k: 2, d: 8}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 16036*x + x**2 - 16036*x. Let g(z) = 17*z + 6. Let f(b) = 713*b + 253. Let p(c) = 6*f(c) - 253*g(c). Determine p(y(s)).\nAnswer: -23*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 74 and 68103902?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the first derivative of 11*x**2 + 15*x + 7. Let i be l(4). Suppose 0 = -6*h + 443 + i. What are the prime factors of h?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1085, -2764, -5569, -9506, -14581, -20800, -28169?\n\"Answer: -d**3 - 557*d**2 - d - 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85 = 4*d - 3*l + 111, 18 = -3*d + 2*l. Suppose 0*n - n = 0. Suppose -k + 0*k + 3 = n. Put k, d, 5 in decreasing order.\nAnswer: 5, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*h**4 + 3*h**4 - 4*h**4)*(-3*h + 2*h + 4*h).\nAnswer: 36*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6369 - -6353. Sort t, 20, -1 in descending order.\nAnswer: 20, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 691*o - 716*o - 175 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-19 - -94 - 59) + (68 - -2 - -3)\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x and 2 v when four letters picked without replacement from vxxwv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 6  (b) 4  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -275\/4 - -133\/2. Which is smaller: p or -1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -0*l + l + 5*s, 4*l - 5*s + 5 = 0. Which is the fourth biggest value?  (a) 5  (b) -2  (c) -1\/2  (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(sqrt(567) - (0 + sqrt(567))) - -1*sqrt(567)*-1) + -4 + -2*sqrt(567)*-1)**2.\nAnswer: -72*sqrt(7) + 583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyyyyyyyy. Give prob of sequence yyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s - 47. Determine n(0).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5279294?\nAnswer: 2, 257, 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 688797344?\nAnswer: 2, 89, 367, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3392*0.25.\nAnswer: -848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 7853273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -26 (base 9) to base 16\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (45 - 29) + -54 + (19 - 0) - -20?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - (5 - 7)) + (2 + -5 - -11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 56931?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 7 + -26198570?\nAnswer: -26198564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 20711695 to the power of 1\/4, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -37.79 - -38. Let y = -2.21 + v. Which is the third biggest value?  (a) -2\/9  (b) 1\/5  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -53*t + 23*t + 105210. Is t a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*b - 22*b - 19*b + 18*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 330336 and 55648.\nAnswer: 15525792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 168 + 527 = 5*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -4*r + 1. Suppose m = 2*y - 13, 5*m - y + 14 + 15 = 0. Let s be j(m). Let t = -10 + s. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - ((-4 - -2) + -8 + 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -198*n**4 - 4*n**3 + 208*n**4 - 859 + 12*n**2 + 861 to the form x*n**2 + z*n**3 + h + r*n**4 + v*n and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -2 - (1 + -4 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 526595 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k + 5*l - 2988 + 24, 2*k + l = 1990. Calculate the remainder when k is divided by 92.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8662 and 976?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7835 divided by 59.\nAnswer: -7835\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the first derivative of v**8\/14 - v**4\/6 - 4*v - 1. Let d(i) be the first derivative of z(i). What is the third derivative of d(t) wrt t?\nAnswer: 480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1296372867 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -434, 2\/7, -114, 1\/18, -1, 0 in ascending order.\nAnswer: -434, -114, -1, 0, 1\/18, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -76787, -76757, -76719, -76673?\n\"Answer: 4*v**2 + 18*v - 76809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(165)*2*5)\/(6*2*sqrt(3)))\/(-3*(sqrt(11) + sqrt(110)\/(sqrt(50)\/sqrt(5)) + 1*sqrt(44)\/sqrt(4) + sqrt(11))).\nAnswer: -5*sqrt(5)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*d**4*p**3 + 13*d**4*p - 587*d**3 + 178*d**2*p**3 - 622*p**3 + 2 wrt d?\nAnswer: -48*d*p**3 + 312*d*p - 3522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 590469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 1508 + (-6)\/(-14) + 33\/(-77)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.4727 to 2 decimal places.\nAnswer: -2.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 30*o. Let c(t) = -5*t - 63. Let w be c(-12). Let x(f) = f. What is w*z(a) + 63*x(a)?\nAnswer: -27*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 202514017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 - 0)\/(9\/(-45)). Which is the closest to 0?  (a) 2  (b) z  (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 12974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (4 - 7)\/(1\/3). Let q be 5*(g\/(-5))\/3. Find the second derivative of -6*l + 3*l**3 + 0*l**q + 4*l - 6*l wrt l.\nAnswer: 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7614.8 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 2546*n**3 - 22*n**2 + 43*n + 117. Let l be q(-27). Round l to the nearest 1000000.\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-2*(-5 + -1 + -1*(sqrt(99) + 5))*-4)**2.\nAnswer: 4224*sqrt(11) + 14076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -352301111 + 4?\nAnswer: -352301103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 33*i**3 + 87*i**3 - 28*i**3 - 38*i - 28*i**3 + 0*i**4 + i**4 + i**2 to h*i**3 + u*i**4 + f + y*i**2 + w*i and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1.7  (b) 1857268  (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -116\/7?  (a) 0.1  (b) -1\/4  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-2304)\/(-1536))\/(3\/(-78))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i. Let h(n) be the third derivative of -10*n**4\/3 + 2*n**2 + 19*n. Calculate h(l(z)).\nAnswer: -80*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1417.4 + 1417. What is the fourth biggest value in s, -5, 3, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aigbbffn. What is prob of sequence na?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-9)\/12)\/((-3)\/(-12)). Let m = 1 + j. Is (6\/9)\/(m\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/q**6*q**13)**29)**17)**(-2\/57) assuming q is positive.\nAnswer: q**(-7888\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 336  (b) -110.4  (c) 0.3  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that -3\/4*g**4 + 1\/4*g**5 - 3\/4 + 1\/4*g + 3\/2*g**2 - 1\/2*g**3 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tttttbbtttttt. Give prob of picking 2 b.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 172 minutes before 10:51 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -110811\/1508 or -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111111101101001010010001 + -1?\nAnswer: -111111101101001010010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -a*s**6 + 12*a + 108*s**6 - 7*s**3 - 2*s**2 - s + 2 wrt s.\nAnswer: -120*a*s**3 + 12960*s**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*l = -340 - 52. Let y be -3 + (-6)\/(6\/l). Suppose -j + 22 + y = 0. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -240*z**3 + 4*z**2 - 5*z**2 - 164*z**3 - 273*z**3 + 137*z**3.\nAnswer: -540*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 5*g + 32 = 0, 5*g = 3*n - 18 - 6. Suppose -5*h + 13*h = -n. Which is greater: -14\/19 or h?\nAnswer: -14\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/25 of a century in years?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1508897765 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 897 and 2769?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*(9 + -15) - -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 700278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 21256325 divided by 4251265\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 245\/1260*(-72)\/(-63).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -5*x - 38. Let f = -83 + 71. What is the remainder when j(f) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i - 1. Let w be z(-5). Let m be 6\/60*15 + (-3)\/2. Factor 0*g**3 + 0 + 1\/3*g**w + m*g - 1\/3*g**2.\nAnswer: g**2*(g - 1)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6636\/23 - 571961\/1978. Find the common denominator of -13\/4 and p.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 942.9617 micrograms in grams?\nAnswer: 0.0009429617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -223, -1\/4, 5\/4, 1\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -241 - -245. Is 3 a factor of 3 + (-374)\/(-8) + 1\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o + 7 - 4 = -3 - 3 - 3, 4*l = 5*o + 388 for l.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that -243*n**5 - 955935*n**4 - 849576*n**3 - 188784*n**2 = 0.\nAnswer: -3933, -4\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, e: 5, x: 11}. What is prob of picking 3 x?\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(1700)*-3 - sqrt(1700))**2 - sqrt(1700))*-1 + (-5*(1 + -3*sqrt(17)*2))**2.\nAnswer: -11875 - 290*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10737 is divided by 58?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 559 + 161 = 10*b. Let t = 6 - 0. Suppose -4*q + 3*r + 27 = 0, q = r + 4*r - t. Calculate the greatest common divisor of b and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*s + 14 = 35. Let g be 8\/(12\/s)*(-12)\/8. Solve -q = g*q - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3481*p - 3475*p - 18 = 0. Calculate the lowest common multiple of 36 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12201340 (base 5) to base 3.\nAnswer: 12212220120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 - (-24 + 36 + -22)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 - 38ba?\nAnswer: -38b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = 3*w - 8, -b + 5*w - 2*w = -22. Let v(a) = 33*a**2 + 195*a. Let i be v(-6). Let k = i - b. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1203 - 224989\/187. Do -1 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(-7) - 1844505\/105. Is x\/(-4) + 72\/(-96) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -7 and -2.5?\nAnswer: 17.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes before 4:52 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -6, 0, 5, -23, 374, -5.\nAnswer: -23, -6, -5, -3, 0, 5, 374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12 - 13. Let g = -201 + 3415\/17. Which is the nearest to 1?  (a) z  (b) -3  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 65\/3 of a week?\nAnswer: 3640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 55\/4 of a decade?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -2*f**3 - 42*f**2 + 45*f - 32. Calculate v(-22).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = 8*m - 198. Solve i + 5*i - m = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lcttlllllrllcrllqh. Give prob of picking 2 l and 1 q.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -712 = -161*r + 1090 - 192 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -246 + (-12)\/(-10) + 2\/(-10). Is u at least as big as -245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7.98 + -4.98. What is the nearest to 0.44 in 1\/2, -6, y, 1\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 64015158 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -11432404020 - -31?\nAnswer: -11432403434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -23659, -94151, -210869, -373183, -580463, -832079, -1127401?\nAnswer: -1465799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 40*j - 52. List the prime factors of r(8).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 18*s + 110. Let c be a(-6). Suppose 2*n = -c*t - 59 - 7, -133 = 4*n + 5*t. Which is bigger: n or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -107edb - 27?\nAnswer: -107f02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 372*h + 344*h - 1843*h + 372*h + 379*h + 378*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -114015654 (base 7) in base 12?\nAnswer: -2447739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/1936 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 32 * -1.2\nAnswer: -38.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o**5 + 4860*o**4 + 2984014*o**3 + 35638132*o**2 - 3149777856*o + 3111150848 = 0. Calculate o.\nAnswer: -1208, -41, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 35?  (a) -0.4  (b) 0.04699  (c) 1  (d) -0.3  (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**2 - 18*d + 2. Let c be m(18). Solve c*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7\/527 + 41717\/6324. Calculate the common denominator of t and -37\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 40, 0.2, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 5*i - 257 = 0, 7*q - 5*q - 5*i - 131 = 0. Calculate the lowest common multiple of 6 and q.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1694345 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p - 5. Let h be b(-8). Differentiate h*j + 3 - 2 - j - 4*j with respect to j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 429166 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4082631*b**3 + 15*b**2 - 44115402 wrt b?\nAnswer: -12247893*b**2 + 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 268432 or 2684319\/10?\nAnswer: 268432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 3 + 4)*(-2 + 0 + 4)*(-18*o + 16*o + 168*o).\nAnswer: -332*o","meta":{"dup_signals":{},"source":"polynomials__expand_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: What is 11134313 (base 5) in base 13?\nAnswer: 362a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the third derivative of -4*q**2 - 1\/30*q**6 + 0*q - 1\/12*q**5 + 0*q**4 + 0 + 0*q**3. Find the third derivative of l(t) wrt t.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the first derivative of m**3\/12 + 37*m**2\/8 + 105*m\/2 + 1281. Factor a(t).\nAnswer: (t + 7)*(t + 30)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - -8) + -3 + -53 - (-84 - (-146 - -53))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 22*i + 5*i + 6 - 7 - 2 + 11*i.\nAnswer: -6*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6.3 - -10.3. What is the nearest to -1\/4 in x, -0.1007, -4\/3?\nAnswer: -0.1007","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*t - 413 = -60*t. Suppose t - 53 = -6*z. Let g(f) = 4*f**3 - 2*f**2 - 3*f - 2. Calculate g(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -0.4  (b) -0.34  (c) 5  (d) 7\/11  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2623907 to the power of 1\/2, to the nearest integer?\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -126 + 140 - d**2 + 0*d + 13*d. Let f be v(14). Suppose 44 = -f*m + 4*m. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 19985\/12492 - 25\/347. Let l = -327\/5 + 20827\/330. What is the common denominator of x and l?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 2*p**2 - p - 6. Let o be x(3). Suppose q - 971 = 4*v - o*v, q = -v + 195. What is the lowest common multiple of v and 16?\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the second derivative of -2*o**3\/3 - 14*o. Let k(i) = 12*i. Determine c(k(u)).\nAnswer: -48*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 217\/49 + 1*-5.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13080343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 15 = 3*x. Let z = 0.217 - 96.217. Let f = z - -96.3. Which is the second biggest value?  (a) 5  (b) x  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -186.8, -1, -1\/3 in ascending order.\nAnswer: -186.8, -1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 - -10100001?\nAnswer: 10011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.8933 to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -107781*w + 107730*w + 969 = 0 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v = -4*j - 14, -j = -v + 2 - 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 27630 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 6539*b**2 - 68*b + 203. Let w be v(3). Round w to the nearest 1000.\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 99*a - 353 - 43 = 0. Let w(l) = -5*l**2 - 4*l + 2. Let g(h) = -6*h**2 - 5*h + 1. Calculate a*g(p) - 5*w(p).\nAnswer: p**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 12652752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**3 + 6*y**2 + 5*y + 1. Let g be q(-4). Let j be ((-140)\/(-372))\/(-5)*3389\/(-20). Let s = -2\/465 + j. Is g less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-20) + (-172)\/215 + 285\/(-30)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 1.2, -2\/7, -1\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 37268824 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -53?  (a) -5  (b) 2  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -3*i - 9. Suppose -3*l + 12 + 18 = i*t, 25 = 2*l + 5*t. Suppose 5*y - 9 - 7 = s, 0 = -l*s + 5*y. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v - 13 + 39. Let g(m) be the first derivative of -m**3\/3 + 5*m**2 + 51*m - 42. What is the lowest common multiple of 9 and g(v)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p*p\/p**(-10))*p**4*p*(p**(-1))**(-4\/3))**33 assuming p is positive.\nAnswer: p**(-154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(-2 + sqrt(171)) - (-3 + sqrt(171)*-3))**2 - (4*(2 + sqrt(171)) + (sqrt(171) - (-4*(sqrt(171) + -2))**2))) + 1.\nAnswer: -363*sqrt(19) + 3646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((0 + sqrt(252))**2 + (sqrt(7) - (sqrt(7) + 2)*4)).\nAnswer: -1220 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -i**5\/5 + 139*i**4\/5 + 6708*i**3\/5 - 24304*i**2\/5 - 1859648*i\/5 + 11590656\/5 = 0?\nAnswer: -28, 7, 12, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:52 AM and 12:41 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*t - 93*t = -920 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2244483*p + 748164*p + 748158*p + p**3 + 748161*p.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) -0.06  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 520 = 106*q + 3*q + 84. Suppose -3*x + 540 = 2*x. Calculate the greatest common divisor of q and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 532512503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0\/(1*-3))\/(-2). Let c(a) = a + 12. Let i be c(q). Calculate the least common multiple of i*2*1\/3 and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 273003?\nAnswer: 3, 17, 53, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 232 - -5?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*w**2 + 1 - 2*w**2 - w**2)*(-8 + 2*w + 8).\nAnswer: 2*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 609437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 6*t + 3*t + 4*t + 1. Let s be z(-20). Calculate the lowest common multiple of 22 and s\/(-21) + (1\/(-3) - 0).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:37 AM and 7:03 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.0119  (b) 387\/4  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3640)\/(-2457)*18)\/(8\/6).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 15 from -2158.805692.\nAnswer: -2173.805692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2834 times -70?\nAnswer: -198380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*f - 2*f + 4*f + (-5 + 3 + 0)*(-3*f + 2*f + 0*f))*(f - f - f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -701967317, -701967316, -701967315, -701967314, -701967313?\nAnswer: -701967312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 29893309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3210 and 2805?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -4617.02, -3, 0.3, 1\/3, -1\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*j**4 - 3*j**4 + 5*j**4 - j + 2*j**4 + j + 2*j + j**4 - 2*j + (3 - 2 - 2)*(-2*j**4 - 1 + 1) - 3*j**4 - 123320*j + 98 + 123320*j.\nAnswer: j**4 + 98","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*w - 33*w + 12 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1023419087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1217 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 49011712 and 11264?\nAnswer: 539128832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 289 = 286*m - 470 - 957. Solve 0 = -5*y + 3*y + m, 5 = 2*s - y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.231*1.63.\nAnswer: 0.37653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m + 5*f + 108, -3*m = 13*f - 8*f - 46. Calculate the remainder when 59 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/63, -3, 1430, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12 - -67. Suppose n + 21 = 4*n. Let k(o) = o**2 - 5*o - 3. Let s be k(n). What is the highest common divisor of i and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1836393 times 0.01\nAnswer: 18363.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 236.1835 + -235.7. Let v = z - 0.5. What is v rounded to 3 decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/59, 16, 3.5062 in increasing order.\nAnswer: -2\/59, 3.5062, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 1. Let y(i) = 2*i. Let u(j) = -2*q(j) - y(j). Let z be u(-3). Suppose z*r = 5*r. Which is the nearest to 0.1?  (a) r  (b) 0.3  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1752534?\nAnswer: 2, 3, 7, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w**4 - w**4 + 3*w**4)*(-654 + 9*w + 654) - 4*w**2 + 9*w**5 + 4*w**2.\nAnswer: 18*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 21\/6*(-28)\/14\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.23 + -11.23. Let y = 10 + q. Let t = -231.4 - -231. Which is the nearest to 2\/7?  (a) y  (b) t  (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w - 5*u + 18 = 0, -4 = w + 148*u - 152*u for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -57648660 by 9948.\nAnswer: -5795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + (1 - (-4 - -6)) + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -13  (b) -21  (c) -1\/5  (d) -54  (e) 6.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(-2) + (-10)\/(-4). Suppose -m*s + 938 = 5*r, 4*r - 3*r + 2*s - 189 = 0. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (267\/(64614\/(-121)))\/(2\/35*10\/8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -4*v. Let a be (-340)\/255 - (-16)\/(-6). Let c(n) = 6*n + 2*n - 4*n. Calculate a*c(h) - 3*t(h).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*u + 72 = 13*u. Solve -3*c + u*c = -4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*-71158.5.\nAnswer: -14231.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 21157421 from 3.\nAnswer: -21157418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 13  (b) 19\/10  (c) 2\/11  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in 6, 1.2, -3?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*u - 10006 = -3*z + 19*u, 0 = 5*z - u - 16658. What are the prime factors of z?\nAnswer: 3, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 1 + 1 = 0. Calculate the common denominator of (-6)\/c + 616\/(-63) and 13\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 1 - 8 - 1 + 369*k + 2.\nAnswer: 369*k - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 108.2 and 3.\nAnswer: 324.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (7\/(-1) + 2)*(-272 - 13).\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjddddd. Give prob of sequence jddj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2711995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 13 - 812?\nAnswer: -788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 101.8368 - 102. Let n = -742.4362 - -743. Let c = n - f. Round c to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-12)\/42)\/(-4 - 108\/(-28)). What is the smallest common multiple of ((43 - 7)\/3)\/t and 83?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -4 + 1 + 0 - (-181 - -178)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*d + 26*d - 1309 = 0. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 3 j when four letters picked without replacement from {j: 3, h: 17}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 8. Let x(n) = -n + 1. Let c(v) = g(v) - 8*x(v). Let w(k) = -2*k. Give c(w(i)).\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9 + -7. Suppose w + 3*b + p*b + 14 = 0, -3*w + 4*b = -53. Suppose -6*h + w*h = 0. Solve h*f + 5 = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -2*o - 4*g, -2*o + 5*g = -o - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g + 2*l + 85, 11 = -l + 6. What is the derivative of -3 + 7 - 307*r + g*r + 51*r + 91*r wrt r?\nAnswer: -140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 145\/18 and -47\/114.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3 + 581\/245 - (-1)\/5. Let y = -2.9 + 3. Which is the biggest value?  (a) y  (b) 0.3  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -2*l - 3. Let c(m) = 15*m. What is t(c(r))?\nAnswer: -30*r - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-21)\/y)\/((y\/y**(-17\/5)*y)\/y)*y\/y**(-1\/2)*y**(-1\/4) assuming y is positive.\nAnswer: y**(-503\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 10*(30\/(-25))\/2. Let o(f) = 7*f**3 + 6*f**2 + 5*f. Let g(l) = -20*l**3 - 18*l**2 - 14*l. Let u(c) = -6*g(c) - 17*o(c). Give u(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (7 - 2)*((-7)\/5 - -1). Let j(p) = -5*p - 2. Determine j(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p\/(((p*p**(-23))\/p*p*p)\/p)*p**(-17)\/p assuming p is positive.\nAnswer: p**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**3 - 2*t**2 - 7*t + 5. Let d be a(4). Let w = d - 6. Suppose 0 = w*l + c - 15, -3*l - 3*c = -2*l - 5. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hq when two letters picked without replacement from {q: 2, h: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 73745411.\nAnswer: 73745411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 2*s**2 + 15*s + 16. Calculate n(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**3 + 4*k**2 + 7*k - 7. Let f be i(5). Let z = 1\/315 + -6721\/315. Calculate the common denominator of z and (455\/(-30))\/(2\/f).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.0062 and 0.2?\nAnswer: 0.1938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -711923795 divided by -5.\nAnswer: 142384759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 18374832 to the nearest one hundred thousand.\nAnswer: 18400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:44 AM and 2:35 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1270 a factor of 459493620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6848\/17 or 404?\nAnswer: 6848\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -314*b + 202. What is the remainder when p(-3) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -34579, -34578, -34577, -34576, -34575?\nAnswer: -34574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 88282065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 8\/3  (b) -6  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10318*q - 4793*q - 5496*q.\nAnswer: 29*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 3*z**2 + 4*z + 5. Let r be m(-2). Let k be 3\/r - (-455)\/30. Which is the second biggest value?  (a) -0.1  (b) 0.2  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69 - 93 = -3*u - 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (5 - (-1 + 5)) + 78. What is the first derivative of 47*a + s + 46*a - 5*a wrt a?\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:59 AM and 10:02 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 - 2. Let x be (3 + u)*8\/56. Let a = 8 - 4. What is the second smallest value in x, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**3 - 18*n**2 - 16*n + 23. Let p be l(-17). Suppose -2*r + j = -p + 78, 4*r + 4*j = -120. Let c = r - -39. Is c != 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 16*w**2 - 9*w + 118. Let l be h(10). Suppose -3*r - 4*n = -2*n - l, 2*n + 532 = r. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 28213\/2244 + 2\/187. Let g = 14177 - 170183\/12. Find the common denominator of g and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**(-1\/13)\/r**(-5\/3))**(4\/7))**(10\/13))**(-45) assuming r is positive.\nAnswer: r**(-37200\/1183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -x + 9, 3*n + 2*x - 5*x - 21 = 0. Let d = 1 + n. Suppose -3*j + 0*j = 5*g - 2455, 0 = -g + d. Round j to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0, 2, -1.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -747*l**2 + 15*l + 60428 wrt l?\nAnswer: -1494*l + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -3*h**2 - 8*h + 33. Let j be r(-14). Let u = -257 - j. List the prime factors of u.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 7*h**2 + 5*h - 13. Let s(w) = -6*w**2 - 5*w + 12. Suppose 2*k - 3 = 7. Let z(v) = k*n(v) + 6*s(v). Let g be (-2)\/(-6) + 32\/(-6). Give z(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9914, 9909, 9902, 9893, 9882, 9869?\nAnswer: 9854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -4 + -1 + (-64)\/(-12). Which is the closest to 1?  (a) -2  (b) m  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 2*l**2 + 6*l - 6. What is the units digit of u(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 201 + 44 = 0. What is the highest common factor of 98 and o?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**3 - 908*p**2 - 8930*p - 22200.\nAnswer: -2*(p + 5)**2*(p + 444)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 80 divide 1159059520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76*p = -3*p + 531 + 491 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**2 + 14*x + 28. Let p be y(-12). Suppose 2*u + p*q + 24 = 4*u, -3*q = -3*u + 24. What is the second derivative of u*k + 263 - 263 - 23*k**5 wrt k?\nAnswer: -460*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**2. Let q(y) be the second derivative of -9*y + 0 + 0*y**2 - 37\/6*y**3. Give o(q(x)).\nAnswer: -1369*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 0 + 5)*(6*r - 5*r - 3*r)*(17 - 17 - 7*r).\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.2 and -81333216628?\nAnswer: 81333216627.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyypypyyppppp. What is prob of sequence pyp?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/2 of a microgram in nanograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 329 is divided by 322?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0033568 rounded to four decimal places?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 249460002?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 229234206 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**3 + 3*j**2 - 1. Let z(s) = -20*s**3 - 8*s**2 + 3. Let u(a) = 2*i(a) + z(a). What is the remainder when 103 is divided by u(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -43*m - 180 + 42*m + 180. Let z(l) = 238*l - 33. Determine u(z(h)).\nAnswer: -238*h + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -43.5 + 237.5. Let h = g + -11. Let c = h - 182.99909. What is c rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -2*c**2. Let x(t) = 2*t + 686. Calculate x(o(m)).\nAnswer: -4*m**2 + 686","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o - 3*b + 135, -o - 3*b = 3*o + 135. Let n = 5 - o. Let k = 37 - n. Sort -17, 4, k in ascending order.\nAnswer: -17, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/18 - (-3330)\/(-405) - -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*d**4 + 204859*d**3 + 319716*d**2.\nAnswer: -48*d + 1229154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:54 AM and 4:08 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 6*k - 21. Let g(q) = 7*q - 25. Let h(a) = -5*g(a) + 6*y(a). Let i(l) = l - 5. Let j be i(5). Suppose 0 = -j*p - p. Give h(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 34 = -5*t, -15 = l - 2*t - 0. Is 19 a factor of ((-35)\/20)\/l + (-4653)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 2, i: 7, t: 2, j: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/310880 and -121\/13019840?\nAnswer: 872329280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 * -0.06\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the second derivative of h**7\/357 + 5*h**6\/51 + 71*h**5\/85 - 97*h**4\/51 - 143*h**3\/51 + 169*h**2\/17 - 7*h - 6. Find s such that w(s) = 0.\nAnswer: -13, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 - (1 - 4)) + (63 - 57).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 12 + 7. Suppose -18 = 10*l - 16*l. Suppose l*s = -3*k + 621, 2*s + 11*k - 6*k = 408. What is the greatest common factor of s and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 28 - 55\/2. Let t = 0.483 + -0.883. Is o greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5*(-1)\/10)\/((-10)\/8)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 - 80 = -18*c. Solve 4*u + 20 = u - 4*t, 2*u = c*t + 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, z: 2, l: 2}. Give prob of sequence hzlz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s - 2 - 16. Let y be (2\/6)\/(s\/(-81)). Let n(q) = 13*q**2 - 22*q. What are the prime factors of n(y)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.0700152 + -0.07. Round i to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3449*a - 1853*a - 987*a + 1480*a + 2*a - 1 + 1 - 3*a + 5*a - 4*a - 5*a + 4*a + 2*a - 3*a + 2*a - a + (1 - 1 + a)*(3 + 0 - 4) - a + 1 - 1.\nAnswer: -4812*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes after 6:56 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1085 and 452?\nAnswer: 490420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the third derivative of n**5\/60 - n**4\/6 + 5*n**3\/6 - 3*n**2. Suppose 4*o = 3 + 5. Let s = 7 - o. What is q(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the second derivative of l**4\/12 - 7*l**3\/6 + 3*l**2 - l. Let t = -8 - -13. Suppose -s + 3*q = -2*s - 5, -2*s + t = q. What is i(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2024695 is divided by 2419?\nAnswer: 2411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 90, 91, 94, 99, 106?\n\"Answer: l**2 - 2*l + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3706190877?\nAnswer: 3, 37, 2129, 15683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 155\/55 + 2 + (-6)\/(-33). Solve 0 = -y*j + 7 + 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (0 + -1 - -5)*1. Suppose -5*i + 13 + 8 = k, 0 = t*i + k - 16. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + -1 + -4 + 12 - 28.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51 = 41*j - 44*j. Let s(x) = x + 19. Let d be s(j). Calculate the highest common divisor of d and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 66045 and 544085?\nAnswer: 11425785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**4\/3 - 131*s**3\/3 - 1079*s**2\/3 + 241115*s\/3.\nAnswer: -s*(s - 35)*(s + 83)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 12538 from 1005.\nAnswer: -11533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 10\/30*(-3 + 12). Solve -s + b = 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 265 + -261. Sort -3, -5, 5, n in increasing order.\nAnswer: -5, -3, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 24\/(-9) - -3 - (-10)\/15. Is -1\/83 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -164 (base 8) in base 16?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*v = 6*v - 1971. What is the hundreds digit of (12\/(-4) - -2)*(v + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29221*-165.\nAnswer: -4821465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35993 is divided by 115?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (9168\/54)\/1*(-9)\/(-33). Let z = -315\/11 + r. Find the common denominator of 1\/142 and z.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1704 divided by -6.\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-3 + sqrt(1088) + 1 - -2*(-2*sqrt(1088) + sqrt(1088)))**2.\nAnswer: 32*sqrt(17) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 88 = 2*w + 3*z, 5*w + 82 = -2*z + 280. Let a = -17 + w. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 40 - 37. Let m be (-24)\/20*-5 - y. Solve -2*a = a - m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -49 and 5491.\nAnswer: -269059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 1 - 6*t + t + 7. Let d be b(1). Let j(h) = 40*h + 4. What are the prime factors of j(d)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 33 - 10?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:53 PM and 1:21 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2612 + 2611.5. Put -0.4, d, 2732 in decreasing order.\nAnswer: 2732, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 87*z - 91*z + 12 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2494.97 - 2477. Let d = -18 + p. Let q = -0.27 + d. What is the closest to 3\/2 in 2\/7, q, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -125*o + 130*o - 10. Sort -1, o, -46 in descending order.\nAnswer: o, -1, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1425.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 50 and 575310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -26230 - -36749. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9 is divided by (-16)\/(-5) + -3 - 19\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.1 - 0.1. Suppose 7*s + 121 - 184 = 0. Which is the nearest to -1?  (a) i  (b) 3  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -2*p**2 - 58*p + 803. Let q be f(14). Is -403 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9233*d**3 + 4*d**2 - 313*d - 7 wrt d.\nAnswer: 55398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-16 + (-826)\/(-49))*(-7)\/84\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -1882996.\nAnswer: 1\/941498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/22946 and 103\/200256.\nAnswer: 2202816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0 from 17131.18172395.\nAnswer: 17131.18172395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10530\/2430*54\/(-26).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9008489.\nAnswer: 7, 19, 67733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -17 + 2. Let d be ((-6)\/s + 0)*5. Suppose x + d*x = 3. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-15)\/(-12)*14328\/2985. Let w(r) = -r + 11. Let j be w(0). Solve j - p = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 2*d. Let s(q) be the third derivative of 0 + 0*q**4 - 10*q**2 + 0*q**3 - 1\/12*q**5 + 0*q. What is s(n(w))?\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 198009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**2 - 12*p + 13. Let j be m(-9). Let n be (-3596)\/(-32) + (-15)\/j. Let i be 92\/n - 1\/4. Which is the second biggest value?  (a) i  (b) -0.4  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(170))\/sqrt(10) + sqrt(17))*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1860, -103, -17, 3, -0.3 in ascending order.\nAnswer: -1860, -103, -17, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4585 = 4*l - 3*m - 8606, m = 5*l - 16508. What is the thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20, -116, -390, -932, -1832, -3180, -5066?\nAnswer: -7580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (-5 - (-138)\/30)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -550077, -550090, -550103, -550116, -550129, -550142?\n\"Answer: -13*t - 550064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12924 and 3231?\nAnswer: 12924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17, -19, -31, -59, -109, -187, -299, -451?\nAnswer: -649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (0\/(-8))\/(2\/2). Suppose r*w = -2*o + 4*w - 8, 4*w - 22 = -5*o. Let j be 11\/(-22) - (-23)\/o. Solve a = x + 4*a + j, 0 = -a - 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-125742)\/(-21) - ((-225)\/(-21) - 11)?\nAnswer: 2, 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -53095 and -0.09?\nAnswer: 4778.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 28, 35, 54, 91, 152?\n\"Answer: f**3 + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3 and -1.07222?\nAnswer: -3.21666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2\/39  (b) -1\/4  (c) 0.432  (d) 78  (e) -0.02  (f) -1\/2  (g) 5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 14*x + 217. Determine m(-8).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 400.8, -2\/9, -26 in decreasing order.\nAnswer: 400.8, -2\/9, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 divided by -3542667?\nAnswer: -4\/1180889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 176*i**2*n**6 - 7203*i**2*n**3 - 2*i**2*n**2 - 1094*i**2*n - 15*i*n - 10*i + n**2 wrt n.\nAnswer: 21120*i**2*n**3 - 43218*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -563*l. Let t(w) = 43867*w. What is t(a(q))?\nAnswer: -24697121*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 - (10 + -5 - -23)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 364 by 7.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3508588 meters in micrometers?\nAnswer: 350858.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 3*u - 19 = -8*u, -3*p = 4*u - 18. Let v(f) = -2*f**2 + 4*f - 2. Determine v(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fofuf?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -153680 = 151*o - 1266*o - 1198*o + 505*o for o.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 65 = -2*o - 2*u, u + 5 = 0. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7441974.\nAnswer: 2, 3, 413443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/30651 and -36\/13823.\nAnswer: 704973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/3))**(3\/8)*(k\/k**(2\/17))\/k*k**(-3\/7) assuming k is positive.\nAnswer: k**(-639\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:06 AM and 6:05 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the first derivative of h**4\/4 - 14*h**3\/3 - 15*h**2\/2 - 2*h - 10. Let r be f(15). Let x be (3 + r + -1)\/2. Which is greater: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - s - 550 = -201, -5*b - 5*s + 615 = 0. Calculate the greatest common divisor of 1357 and b.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = x - 5*x - 10, 0 = 5*a - 3*x - 18. Suppose 0 = -a*h - 0*h. Solve h = -5*c - 6 - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -313 + 442. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = k + 6*q - 39, 643*q - 639*q = -2*k + 30 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 17*a - 71. Let c be g(-9). What is the common denominator of 474\/c + (-3)\/(-7) and -11\/7?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 847802 + 5?\nAnswer: 847807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c + 2*v + 721, 0 = 4*c + 2*v - 0*v - 938. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 20805 - 20795. Solve -b*t = 7*t - 34 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 375741587?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 155*t - 46715 = 68140. What is the greatest common divisor of 57 and t?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1471 * -1.2335.\nAnswer: 1814.4785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 2*m**2 - 2*m + 4. Calculate the smallest common multiple of z(-4) and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*n + 0*n - 2*n.\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -10944 divided by -38\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -32.3 + 107\nAnswer: 74.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v*(v**16*v)\/v)\/v**(-7))**(-42))**(-9) assuming v is positive.\nAnswer: v**9072","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 2*j = 0. Suppose j = d - 5*d. Suppose 0 = b - d*b - 16. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3 + 20\/180)*(-21)\/56\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*c**4 + 5 - 5 + (-8*c**2 + 7*c**2 + 18*c**2)*(2*c**2 + 2 - 2).\nAnswer: 38*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 196 divide 246841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*b**5 + 74*b**3*p**2 - 31*b**2 + 2*p**2 wrt b?\nAnswer: 240*b**2 + 444*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-7)\/14)\/(2\/28). Let w be (3\/5)\/((d\/5)\/(-7)). Suppose -3*r = 5*i - 5*r + 58499992, -3*i = w*r + 35100012. Round i to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9\/8*r + 3\/8*r**2 - 9\/8*r**3 + 3\/8*r**4 - 3\/4.\nAnswer: 3*(r - 2)*(r - 1)**2*(r + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence enea when four letters picked without replacement from {a: 2, o: 8, e: 5, n: 4}?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7875 - 15748 + 7873 - 2*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.8 times 4?\nAnswer: 67.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + 13 + -1 - (17 + -9).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-8)\/(-56) - 22\/7. What are the prime factors of -5 - z - -105*2?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the third derivative of 11*x**5\/2 - 49*x**4\/3 + x**3\/2 + 1079*x**2. What is the second derivative of t(c) wrt c?\nAnswer: 660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1356.624284 to 1 decimal place.\nAnswer: 1356.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 33 = -5*g, -2 = -2*g + 4. Let l be (5\/u)\/((-3)\/12). Let x = -13\/30 + 1\/10. Which is the third biggest value?  (a) -0.1  (b) x  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 384 = -12*s - 1800. Let u = s + 186. Solve -t - 3*t = -u*i - 16, -i - 4 = 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 97786, 97787, 97788?\nAnswer: 97789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2570 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*f - 3*f - 4*f + 2*f**2.\nAnswer: 2*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -211 + 217. Suppose -d*r = 44157 - 6957. Round r to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 26 and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 43261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 205*m - 448 = 78 + 909 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4928 and 120568.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cosnlvcvvocsvccccncv. Give prob of picking 1 l and 1 n.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-324)\/45*(-20)\/6. Suppose 0 = 2*a + a - c. Solve y - a = -y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the first derivative of 5*p**2 - 26*p + 35. Let s be q(3). Suppose -s*y - 6*y = 40. Let l(z) = -2*z**2 - 5*z + 2. What is l(y)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -71\/4 and 23\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is (1\/(4 + (-2917803)\/729449))\/(-2 + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 189.8 - 190. What is the third biggest value in f, 1, -0.4, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 22*b + 476. Give h(-19).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-19)\/u)\/u*u)\/u*u\/((u*u**15)\/u)*(u**(-7))**(-35) assuming u is positive.\nAnswer: u**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 4*n + 30 = 0. Let r be (n\/30)\/((-1)\/(-14)). Let q be 16\/112 - (-20)\/r. Solve -2*j - q = -7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -4*(-85)\/(-20) - 0\/2. What is the closest to -3 in m, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes after 11:21 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 37663262 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 143\/120 and 4743\/351 - 9 - (3 + 0).\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 920*n**3 + 995*n wrt n?\nAnswer: 5520*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**2 + 2*c - 1. Let t = 30 - 35. Determine x(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes before 5:53 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 242 = 3*f - 10. Suppose g = x + f, -3*g - 6*x = -x - 220. 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: Calculate the highest common divisor of 1052 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 2440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (48 + -53 - (-8 + -1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -28a587 (base 11) in base 4?\nAnswer: -1232221320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -84*r - 9 = -85*r. Let p = r - -1. Calculate the remainder when 67 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes after 3:37 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a - 9. Let t(b) = -44. Let k(r) = -18. Let l(j) = 12*k(j) - 5*t(j). Let s(u) = -9*l(u) - 4*w(u). Let o(g) = -g**2. Calculate o(s(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the third derivative of 7\/360*b**6 + 0*b + 0 + 1\/60*b**5 + 0*b**4 - 2*b**2 - 1\/3*b**3. Let n(g) be the first derivative of a(g). Factor n(u).\nAnswer: u*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -105*k = 181061 - 185261 for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -185373873333 - -2?\nAnswer: -185373873331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3564 and 2860596?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/167 in 3, 5, -4\/81?\nAnswer: -4\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 2*l - 1 + (9 + 2 - 1)*(0*l - 2*l + 0*l) + 0 - 2*l + l + 1 to the form k*l + n and give k.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77) - -1*4*sqrt(77))\/(6*((sqrt(396) - sqrt(11)) + sqrt(11))).\nAnswer: 5*sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 790 (base 12) to base 6.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (28\/112)\/(1\/((-8)\/(-31)))\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 - 4. Let w be j*(-1 - (-7)\/3). Calculate the greatest common factor of 2 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(2448)*-5 - (sqrt(2448) + -2*(-1*sqrt(2448) - sqrt(2448))) - (sqrt(136) + sqrt(136)*-1*1 + sqrt(136))\/(-4*(sqrt(8) + sqrt(72))))**2 + 3.\nAnswer: 15700625\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: -26216 (base 7) to base 13\nAnswer: -3233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -481 + 491. Suppose -3*v = 5*z + b, 8 = 4*v - 5*z - 2. Solve -4*x + 20 = 4*m, -m + v*m + 4*x = 15 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((-2 + sqrt(192) + -3)*-4 + -3).\nAnswer: -102 + 192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 137 - -7?\nAnswer: 13e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 8*j + 8. List the prime factors of m(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the first derivative of 201*g**2 - 360. Let m(o) = -2*o. Determine k(m(t)).\nAnswer: -804*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**3 + 4*g**2 - g - 3. Let a be u(3). Let s be (-2)\/(1 - 2)*23. Suppose -s = -a*r + r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1469856?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**3 - 145*u**2 + 2547*u - 417627. Give i(147).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**2 + 6*n + 3. Let y be s(-6). Let d(b) = 2*b - 2. Let f be d(5). Suppose -9 - 41 = -2*v. Solve -y*u = -f*u - v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3360 and 784.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -5*m, -4*m + 8*m + 48 = h. Calculate the smallest common multiple of 32 and h.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 2*p - 1. Suppose -5*i = -0*i + 4*j + 47, 3*j + 49 = -5*i. Calculate the smallest common multiple of l(1) and (0 + -1)*i - 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3743 + 12002?\nAnswer: 6037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1111296 and 9216.\nAnswer: 13335552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.03  (b) 0.5  (c) -1  (d) -0.051\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5832 is divided by 1695.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -5*u. Give q(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -244*h**2 - 5*h**2 - 231*h**2 - 6*h**2 - 111*h**2 to i*h + k*h**2 + b and give k.\nAnswer: -597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.41, -28, -6, 13\/5, 0.4, -1\/6 in descending order.\nAnswer: 13\/5, 1.41, 0.4, -1\/6, -6, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0218736 rounded to 3 decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = 6*y. Suppose -3*w - k - 4 + 338 = 0, -5*w - k + 556 = y. Suppose -5*g + 449 = 3*s, -w = -2*g + 3*s + 56. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p*p\/(p\/p**(-6))*p\/((p\/p**(2\/7))\/p))\/(p\/(p*p**7)*p*p*p**(2\/13))*p**7\/(p**(1\/5)\/p)*(p**1)**16 assuming p is positive.\nAnswer: p**(11799\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1990843.73 and -1.5?\nAnswer: 1990842.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 77*b - 803 + 245 - 443 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-16))\/(14\/8)*(2272 + -2262).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2461, 0, 1 in descending order.\nAnswer: 2461, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of k**2*q*u**3 - 3*k**2*q*u - k**2 - 15*k*q*u + 2*k*q - 31720*q*u**4 + 239*u + 5 wrt u.\nAnswer: 6*k**2*q*u - 380640*q*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 923901816.\nAnswer: 2, 3, 38495909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3847.644 months?\nAnswer: 320.637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31848 divided by -4.\nAnswer: -7962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -15*t - 1. Let a = -41 + 49. What is the smallest common multiple of y(-1) and a?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.812*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**2 - 6*f + 10. Suppose 22*k = 14*k - 576. Let t = k - -64. Calculate i(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 11*c - 156. Determine t(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2074269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**2 + c + 9. Let t be i(0). Let j = -15 + t. Calculate the remainder when (37\/3)\/((-2)\/j) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 7*a**3 - 2*a**2*d - 8*a + 550*d wrt a?\nAnswer: 21*a**2 - 4*a*d - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11369214373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (17 - -3) + -12 - 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) 0.3  (b) -160  (c) 2\/3  (d) 55  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -8*n - 3. Let t(g) = -7*g - 2. Let z(f) = 3*r(f) - 4*t(f). Determine z(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -18*m - 3. List the prime factors of j(-2).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that 26*l**2\/3 - 22*l - 12 = 0.\nAnswer: -6\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 83 + 108. Let z be (-1 + 4 + -4)*-107. Let n = a - z. Does 28 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**3\/23 + 8603200*v**2\/23 - 9251881280000*v\/23.\nAnswer: -2*v*(v - 2150800)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:33 PM and 8:23 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*v - 27*v = -5294 - 75341. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -2*h + 2*h + 2*h**2. Let i(l) be the third derivative of 0*l**3 + l**2 - 1\/8*l**4 + 0*l + 0. Calculate i(v(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 10*f. Let i be (-6)\/9 + 34\/6. Let h be a(i). Suppose -3*u = -16 - h. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2005 times -721?\nAnswer: 1445605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.7 + 0.8. Let a = -1171 + 1451. Which is smaller: c or a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 934506331 a multiple of 1133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 4  (b) -2\/9  (c) 1\/2  (d) 1  (e) 5  (f) 291414\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ghh when three letters picked without replacement from ggghhghwgh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Do -10554728 and -42218907\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 128 = -3*z - 2*z, -z + 146 = -h. Let c = h + 165. Let s = 7 + -5. What is the greatest common factor of s and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**3 + 110*i**2 - 7623*i - 862488.\nAnswer: (i - 88)*(i + 99)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*m + 10*m + 3*f - 9 = 0, 0 = 3*m + 2*f - 19. Solve 4*j - 3*y - 2 + 1 = 0, -5*j = -m*y + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 23933 + -1005325\/42. What is the common denominator of d and -43\/54?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 308.7867 rounded to the nearest 10?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 37759, 151022, 339813, 604132, 943979, 1359354?\n\"Answer: 37764*r**2 - 29*r + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -21 (base 15) to base 4\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -5*q**2 - 2*q + 1. Suppose 5*j - j - 60 = 0. Let g = 23 - j. Let p(l) = 14*l**2 + 6*l - 2. Let o = 19182 - 19179. Calculate g*i(s) + o*p(s).\nAnswer: 2*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -36*c - 54. What is d(0)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -2*b + 25. Calculate j(17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p. Suppose 20*q = 19*q + 2. Suppose -3*m + 1 = 2*t - 10, 5*m - 4*t - 11 = 0. Let u(w) = -3*w + q*w - m*w - w. What is a(u(d))?\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((4 + (sqrt(405) - ((sqrt(405) - sqrt(405)*-1) + sqrt(405))) + -4)**2*6 + 3) + 1.\nAnswer: 19447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -19595*u + 19598*u, 0 = -3*j - 6*u - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -35556.8 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 310.4157 millilitres to litres.\nAnswer: 0.3104157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b + b - 3*b)*(-7 - 2*b**3 + 11*b - 11*b).\nAnswer: 6*b**4 + 21*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = 7 + 13. Suppose 0 = d - 133 + 132. Suppose -3*y = -5*y. Put f, d, y in increasing order.\nAnswer: f, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 82 - 82. Let o(x) = -6*x + a*x + 4*x - x. Let t(q) = -6*q**2. Give t(o(f)).\nAnswer: -54*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 25014 - 17001. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wt when two letters picked without replacement from {z: 2, w: 4, t: 7}?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**(-1))**(-14)*v**(-7)\/v*v\/v**(-2\/11)*v*(((v**(2\/3)*v)\/v)**(-3\/2))**(1\/11) assuming v is positive.\nAnswer: v**(-373\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**3 - 18*a**2 + 16*a + 28. Calculate h(17).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/7?  (a) 1  (b) -3\/4  (c) -18429\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26870612?\nAnswer: 2, 6717653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 3*c - 16. Suppose 38 = 4*x - 2. Calculate the lowest common multiple of x and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the first derivative of u**2\/2 + 1. Let y(w) = -3*w + w + 2*w - 2*w. Determine x(y(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -327*i = -i - 395438. Which is smaller: i or 1226?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 56 - 47. Solve -3*t + 0 = -h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 875016?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 520 + -709 - (-15 - 149).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 63*(4*(-13)\/78)\/8.\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 85 divide 2465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (83 + 5*r + 140 - 120 + 151)*(-r**3 + 2*r**2 - 2*r**2) to u*r**2 + p*r**3 + b*r**4 + h + x*r and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*c**6 + 14*c**4 + 1432*c**2?\nAnswer: -600*c**3 + 336*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1591589474.0000139 - -1591589278. Let l = f + 196. What is l rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1100112 (base 3) in base 12?\nAnswer: -6a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 324 minutes after 12:09 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.17 + 5.67. Let w = l - 5. What is the third smallest value in 2, w, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 8, b: 5, o: 4}.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 192493, 384984, 577475?\nAnswer: 769966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -2*v - 14. Let i be f(-7). Suppose -6*p + 14*p - 208 = i. Calculate the highest common factor of 65 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-19) - 5226\/1273?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (14\/315*36)\/(4\/10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 47 = -3*h, 2*h - 5*m + 12 = 10. Calculate the remainder when (-182)\/(-3)*h*(-3)\/(-18) is divided by 34.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 75 + -51. What is the greatest common factor of w and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2435.42 and 0.072.\nAnswer: -2435.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*2*2*sqrt(224))\/((sqrt(16) - (sqrt(16) + (sqrt(144) - sqrt(144)*-2) + sqrt(16)))\/((sqrt(12) - (sqrt(12) + -2*sqrt(12)))\/sqrt(6))).\nAnswer: 24*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 10682, 21366, 32048, 42728, 53406, 64082, 74756?\n\"Answer: -t**2 + 10687*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -12*q**4 + 280*q**3\/3 - 188*q**2\/3 - 56*q\/3 = 0.\nAnswer: -2\/9, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**2 - 11*f + 13. Calculate s(-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -2*q**2. Let n(i) = -1172531*i. Give m(n(y)).\nAnswer: -2749657891922*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -115542450 + -4?\nAnswer: -115542454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 10, -1\/30, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5595 = -209*w - 0*w + 1833 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h - 6*h + 4*n - 386 = -254, 4*n - 142 = -6*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10a71 (base 12) to base 15.\nAnswer: 68e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 - 2. Let y(b) be the third derivative of -b**6\/120 + b**5\/10 - b**4\/4 + b**3 - b**2. Is 7 a factor of y(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 9*d = -15. Is d > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**3 - 4*z**2 + 4*z - 5. Let u be f(-5). Let b = -31\/7 - -169\/35. Is b <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n - 25 = 5*i, -4*n + 3*i - i = -10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 294, 323, 352, 381?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1550876839 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.3 and -88.2.\nAnswer: -87.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 3, p: 2}. Give prob of picking 2 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -70*h**3 + 14*h**2 + 166*h + 47. Is w(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2824830 divided by -313870?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1002 + -12000?\nAnswer: -10221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o\/o**(-1\/10))\/o*o*o*o**(7\/2))\/(o**10*o*o\/(o\/o**(-6\/7))*o) assuming o is positive.\nAnswer: o**(-159\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-8)\/6*2\/(-7 - 9). What is the nearest to -1\/4 in 0.01, i, -3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes before 7:31 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00033203913 rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let -4*u**4 - 44*u**3 - 80*u**2 + 128*u = 0. What is u?\nAnswer: -8, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -520  (b) -0.4  (c) -1\/6  (d) 0.3  (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 13026 divided by 13?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 272 divide 988580464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 231 = 217. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -149603303.\nAnswer: 5\/149603303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*i + 3*i - 1 = 3*m, -2*m + 2*i = -10. Suppose -39 = -m*f - 0*f. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*m**5 + 18*m**4 + 6*m**3 - 36*m**2 - 3*m + 18 = 0. Calculate m.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 376 and 423?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**2 + 6*b. Let z = 351 - 368. Let c(r) = -4*r - 2 + 0 + 0*r. Let s be c(-2). Let n(v) = -3*v**2 + 17*v. Give s*n(d) + z*a(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the third derivative of c**5\/20 - 298*c**4 + 710432*c**3 - 13*c**2 - 224. Determine h so that j(h) = 0.\nAnswer: 1192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*v - 25 = -2*v. Put -4, v, 8 in ascending order.\nAnswer: v, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 minutes after 3:38 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-3*(-35)\/(-30))\/((-6)\/11088)?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001129 to six dps.\nAnswer: 0.000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 100758*f*z**3 + f*z**2 + 52518*f*z + 43*z**6 wrt z?\nAnswer: 604548*f + 5160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (228\/760)\/(1\/(-10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 296, -0.2, 2\/7, 5, -8 in increasing order.\nAnswer: -8, -0.2, 2\/7, 5, 296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 3*v**2 + v + 10. Let k be h(3). What is the highest common factor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -27, -2, -7, -20.\nAnswer: -27, -20, -7, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-12)\/(-8))\/(15\/(-100)). What is the tens digit of (1 + 2)\/(q\/(-190))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6186 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 3, h: 13}. What is prob of picking 1 p and 1 h?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6279395482?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/13339?  (a) -0.3  (b) -0.5  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 + 34*b - 7 - 32*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -17 - 4677?\nAnswer: -468e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 159\/4*v**2 + 0 + 3\/4*v**4 - 30*v - 21\/2*v**3 = 0. Calculate v.\nAnswer: 0, 1, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10100 - -11010100?\nAnswer: 11101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*o**2 + 3288160*o - 3288160*o.\nAnswer: -19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5930 + -3431. Let a = 1103 + v. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 75913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 1  (b) 0.5  (c) 0.0806  (d) 7  (e) -115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u + 2. Let p(r) = -2*r**2 + r + 11. Let k(y) = -4*b(y) + p(y). Let j(g) = 7*g**2 + 8*g - 8. Determine -3*j(o) - 8*k(o).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 161903051 bigger than 161903048?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 21870 + -13214. What are the prime factors of q?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 4*d = 16, -1 = z + 2*d - 2. Let q be (-1)\/((-1*2)\/(-7 + 9)). Is (30\/z)\/(q\/5) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (h - 4*h + 4*h)*(48*h - 17 + 17)*(h - h**2 - h) to the form l*h**3 + i*h**4 + v + q*h + s*h**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12 + 24 + 34 + 46 + 2*x**2.\nAnswer: 2*x**2 + 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 6 = 2, 2*t + 32586 = 4*h. What are the prime factors of h?\nAnswer: 8147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one sixth of a hour?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.1203 from 7777909972.\nAnswer: 7777909971.8797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 1\/5 + 38\/(-90)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, -3\/20, -0.4 in descending order.\nAnswer: 13, -3\/20, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -802 - -1032. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 - -10. Let p = 0.071 + -0.371. Which is the closest to 0?  (a) l  (b) 1  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 228535698397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -3\/4, 1, -16\/3, -198, 9 in increasing order.\nAnswer: -198, -16\/3, -3, -3\/4, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in -41, -4258\/3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2582 or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**3 + 13*h**2 + 22*h + 15. Let o be -15 + -14*(-14)\/49. Give z(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 335 divide 508799675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*l + 14*l - 37*l.\nAnswer: -33*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(-6))\/(18\/4)*(55 + (-77588)\/1547).\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 31455, 62911, 94369, 125823, 157267?\nAnswer: 188695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - -6)*(1748\/171 - 11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -3931*o**3 - 23*o**2 - 22*o + 1. Calculate the remainder when t(-1) is divided by 82.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -391562515*f**2*t**2 + 74808*f*t**2 + 1446*t**2 wrt f.\nAnswer: -783125030*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -37*t + 4*t**3 + 38*t + 3 - 3 - t**2. Determine z(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*g**3 + 4*g**3 - 15*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + -3 + (11 - 1 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 3*a**2 + 10*a + 11. Let m be r(-6). Let q = m + 51. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*l**3 - 3*l**2 - l**3 - 5*l**3 in the form m + d*l**3 + a*l + c*l**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -4 - (-3 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -624000 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 8b47f (base 16) in base 4?\nAnswer: 2023101333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(-2*sqrt(160) + sqrt(160)) - sqrt(160))\/((1*sqrt(96) + sqrt(96) - sqrt(96))\/sqrt(12)))\/(((sqrt(100) - sqrt(100)*-3)*-5)\/(sqrt(500)\/sqrt(2))).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10147, 40634, 91465, 162634, 254135?\nAnswer: 365962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 31757 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**3 - 5*z**2 + z + 1. Let c be v(5). Let g = c + 1. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2*n + 1)*(-3455 + 1816 - 46271*n + 1639).\nAnswer: -92542*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-4)\/(-30)*(-95 - -2) and (-2)\/(-1)*375\/(-36).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.02*-5509\nAnswer: -110.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n - 1 = -21 + 38 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 3849 = v. Suppose 4*q - v = -5*i, i = -0*i - 3*q + 772. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 51 - 108. Let f = -53 - t. Solve 9 = -3*p - 3*v, 0 = -5*p - f*v - 7 - 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -1\/3, 0.0781, 2\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -515, -546, -577?\n\"Answer: -31*x - 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 + 14. Let p be (2\/(-9))\/(x\/15). Is 0 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -22 and 74?\nAnswer: -1628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14705 is divided by 88.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4, -1\/12123, 1\/4, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**3 + 8*l**2 - 4*l - 33. Let n be b(-8). What is the units digit of 855\/3 + (n - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -25\/731?  (a) 5\/4  (b) -1  (c) -10  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -49 (base 11) in base 5?\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 690 and 4298562.\nAnswer: 21492810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 45181 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 83, -5, -31, -4, 0.3, 2\/19 in increasing order.\nAnswer: -31, -5, -4, 2\/19, 0.3, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 2) + -11 + (-27 + 14 - -5).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000371 rounded to five decimal places?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 354*m - 359*m + 2*r, -19 = -2*m - 5*r. Let z(w) = w**2 - w + 142. Let h be z(0). What is the tens digit of 10 + h - -2*m\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*m + 5 - 11. Let f be 1\/2*(9 + m). Solve -f*o = 14 - 26 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = c + f + 5, c = -5*f - 15. Suppose 2*w = -0*w - 3*b + 14, b + 4 = c. Let p = w - 10. Put -3, p, -2 in increasing order.\nAnswer: -3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 229 is divided by 115.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 21808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -64*u**3 + 130*u**3 - 72*u**3.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 2*(-1)\/5 + (-22)\/(-30)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/((-522)\/(-252)*-7)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1 times 3372.37\nAnswer: -3372.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 3\/119?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 987037 to the nearest integer?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(768) + sqrt(48))\/(sqrt(8) - sqrt(64)\/sqrt(32)))\/(6*sqrt(147)*-1*1).\nAnswer: -3*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/95 and -71\/44165.\nAnswer: 839135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -193*l + 420*l - 228*l - 1726*l**2 - 216*l**2 to the form d*l**2 + i + t*l and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (114\/931)\/((-270)\/70)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2485771110?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 1. Let j(s) = -2*s + 1. Let o(q) = -b(q) + j(q). Let d(w) = 1 - 4 + 3 + 341*w - 245*w. Calculate d(o(g)).\nAnswer: -192*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x**4\/5 + 36*x**3\/5 + 2116*x**2\/5 - 24324*x\/5 + 22176\/5 = 0.\nAnswer: -24, 1, 11, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 73672 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 80*r**3 + 10*r**2 - 11*r + 2. Calculate the remainder when s(1) is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4.1 - 0.9. Let m = -6 - l. Let g be 12\/(-32) - 38*10\/(-160). Which is the nearest to m?  (a) 0.5  (b) -3  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 62 - 62. Find the third derivative of j*t + 32*t**3 - 3*t + 3*t - 10*t**2 wrt t.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.64 - 0.94. Let v = 337\/22 - 31\/2. Which is the second biggest value?  (a) v  (b) n  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4633 - 4681) + (-1 - -58)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2.02 + 2. Let j = 376.09 + -2.09. Let k = 369 - j. What is the second biggest value in 0, k, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -1635*s**2 + 2*s - 15. Let j(t) = -3266*t**2 + 5*t - 33. Let a(f) = 2*j(f) - 5*m(f). What is the first derivative of a(l) wrt l?\nAnswer: 3286*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q + 3*c - 13, -4 = 2*c - 10. Suppose -4*j - q = -9. Suppose -34 + j = -m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 1416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*i**3*j**2 + 7*i**3 + 6*i**2 + 3598855*i*j**2 + 1463*i - 2 wrt j?\nAnswer: 4*i**3*j + 7197710*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 - -1. Let d = i + 11. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20527036.62 rounded to the nearest one hundred thousand?\nAnswer: -20500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 11 = -16. Let n = y - -2. Suppose -4*z - 4*l = -z - 55, l = 2*z - 44. Calculate the remainder when z is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/10*(-30)\/(-162).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -70*f**2 + 15333*f - 502. Determine v(219).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -15 and 12?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 511767 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:30 PM and 3:11 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1678 - 958. Suppose 0 = i + 5*i - q. Let v = i - 36. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x, 1 a, and 2 v when four letters picked without replacement from {x: 6, k: 1, v: 5, a: 1, s: 3, t: 3}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**5\/2 + 4587*z**4 - 749655*z**3\/2.\nAnswer: z**3*(z - 81)*(z + 9255)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 4*l**2 - 8*l - 1. Suppose 2*b + 3*w = 35, 0*b - 58 = -3*b + w. Suppose -14*d - b = 65. Let s(m) = 7*m**2 - 15*m - 2. Calculate d*s(h) + 11*x(h).\nAnswer: 2*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8680*n - 8078*n + 1204 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 7 - 1)*(-3 - 3*i + 3) + 0*i - i - i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.5 and 14.37302057?\nAnswer: 13.87302057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + -6 - (-3 + 2\/9).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m**3 - 22728*m**2 + 249524*m = 0. Calculate m.\nAnswer: 0, 11, 5671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10000 + 10000010111000?\nAnswer: 10000011001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -77 + 237?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/10*((-99)\/9)\/(-22).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - -13) + (-36 - -24)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -4*l - 66, 2*g - 74 = g - 4*l. What is the remainder when g is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x - 2. Let g(k) = -1. Give 3*g(c) - i(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-3*1*2*sqrt(304)*-2)**2.\nAnswer: -131328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -137*m**2 - 142*m**2 + 162*m**2 + 112*m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27445 divided by -55.\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15 - 22. Let u be (-2)\/(4\/m)*2. Solve 3*p + 8 = u*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 140731 is divided by 28144?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -3996501 * 1.34\nAnswer: -5355311.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o - 1. Let y(c) = -18*c - 2. Give 3*d(p) + y(p).\nAnswer: -21*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*h**2*q**4 + 3*h**2*q**2 + 7*h**2 - 60835374*h*q**5 + 2*h*q - 50473 wrt q.\nAnswer: 96*h**2*q - 3650122440*h*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -114.98+-13292\nAnswer: -13406.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 5\/(-15) - (-14)\/6. What is the derivative of -2*h**3 - h**2 - 4*h**s - 5 + 5*h**2 wrt h?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**3 + 6*r**2 + 3*r + 4. Let y be v(4). Let b = 50 - y. Calculate the smallest common multiple of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 + 30\/(-24)*-4. Let -23*n - 97*n**h + 248*n**5 - 9*n - 68*n**5 - 11*n**4 - 208*n**2 - 392*n**3 = 0. What is n?\nAnswer: -2\/3, -2\/5, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 409, 813, 1225, 1651, 2097, 2569?\nAnswer: 3073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbqq when four letters picked without replacement from {b: 5, q: 13}.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 33\/545 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2253094 to the nearest integer?\nAnswer: 1501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 16 - 7. What are the prime factors of (0 + b - 2) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41545 + 386872 = 5423*b for b.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000862 rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 34293037 or 34293038?\nAnswer: 34293037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 4114554 divided by 2\nAnswer: 2057277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3388 + -126?\nAnswer: 3262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -29350*v**3 - 35720*v**2 - 11166*v - 180 = 0.\nAnswer: -3\/5, -10\/587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 409 = 5*a + 3*p, -2*a = 4*p + 28 - 200. Calculate the remainder when a is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 99627.\nAnswer: 3, 11, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/112 and 27\/732760.\nAnswer: 1465520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**3 + 6*y**2 - 5*y + 1. Let f be o(5). Let q be -1*(-4)\/90*3. Which is bigger: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fy when two letters picked without replacement from {z: 1, y: 1, f: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 2*w**2 - 14*w + 137. Let i be j(0). Suppose 0*h - 3*h - 2*m + 433 = 0, h - i = 3*m. Does 46 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*t - 1545 = 3327. Which is smaller: t or -608?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b + b + 0*b)*(-2*b + 2*b + 2*b) + 139*b**2 + 147*b**2 - 280*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 9\/5 and -47\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*w - 18 = -61*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -29\/3 + 2062\/213. What is the smallest value in q, -0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + -2 + 6 + -4 - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3700832237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.067893176 rounded to 5 dps?\nAnswer: -0.06789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1451 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14723 + 14728. Let w = -1.2 - -1. Which is greater: q or w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dqq when three letters picked without replacement from {d: 3, q: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 111*d + 220. Let y be b(-2). Let p = -0.05 + -4.95. Let i = p + 4.8. Sort -4\/7, i, y in ascending order.\nAnswer: y, -4\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 a when two letters picked without replacement from {q: 1, v: 1, a: 2, r: 2, t: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the second derivative of -g**5\/20 + 3*g**4\/2 - 17*g**3\/6 - 9*g. What is f(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes after 12:11 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2508*t**5 + 6*t**4 - 11947*t**2 + 4*t wrt t?\nAnswer: 150480*t**2 + 144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.8 - -42690.\nAnswer: 42689.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*g**2 - 478*g\/5 - 104\/5.\nAnswer: -(5*g + 52)*(9*g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2\/183 + 352\/1281. Which is the closest to 1?  (a) -27  (b) f  (c) -2  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**3 + 12*j**2. Let t(a) = a**2 - 5*a - 22. Let k be t(8). Suppose -4*o + 23 = f, k*f - 4 = 2*o + 12. Is p(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n**2\/7 - 5010*n\/7 - 866932\/7 = 0.\nAnswer: -2318, -187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 930167 is divided by 3524.\nAnswer: 3355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the second derivative of w**9\/336 + w**5\/120 - 5*w**3\/6 + 10*w. Let n(d) be the second derivative of l(d). Find the second derivative of n(g) wrt g.\nAnswer: 180*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 24 = 4*f - 3*v, 5*f - 22 = 3*v. Suppose 3*n + 4 = 5*a, 3*n - 5*a = f*n - 8. What is the second derivative of -2*i - 67*i**2 + 4*i + 59*i**n wrt i?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 9*m + 15. Let s(b) = 2*b + 4. Let l(q) = -5*c(q) + 21*s(q). Let r be l(4). Put -4, -5, r in increasing order.\nAnswer: -5, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 40951?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1002017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) -20  (c) 0.06  (d) 8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 880, 892, 904, 916, 928?\nAnswer: 940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12*i + 6*i - 9*i to u*i + b and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -6983, -13969, -20955, -27941, -34927?\n\"Answer: -6986*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand p - 2*p + 2*p + 0*p - 2*p - 5*p + 0*p + 0*p + p + (-2*p - 2*p + 3*p)*(-1 + 2 + 0) + 4*p - 5*p - p - p - p + 0*p + (3 - 1 + 0)*(-2*p + 7*p + 3*p).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-18)\/(-42) - -53*(-3)\/(-21). Let y be (3\/(-9))\/(i\/(-96)). Solve 0 = -0*z - z - 1, -h = -z + y for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n\/n**(-1\/2)))**(1\/19)\/((n\/(n**(-2)\/n*n)*n)\/((n*(n*n*n**(-2))\/n*n)\/n)))\/((n**1)**(-1\/5)\/((n*n\/n**(-2\/7))\/(n\/(n**(3\/4)\/n)))) assuming n is positive.\nAnswer: n**(-7423\/2660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - (1 + (-11 + 19 - 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -585227, -585230, -585233, -585236, -585239?\n\"Answer: -3*p - 585224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-56)\/357*((-65)\/13 + (-2152)\/(-428)). Is l greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59756 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 228 + 225 + 20*j**2 + 225 + 10*j**3 - 681 as g*j + i + k*j**3 + l*j**2 and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(400))\/(-1*(sqrt(24)\/sqrt(3) + sqrt(8))).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 3*t + 4*b = -29, -2*t - 3*b = -7. Suppose 3*q - t*d = -d + 22, 0 = -3*q - 2*d + 34. Solve 6*z = -2 - q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*p - 35*p + 28*p = -20*p + 4524 for p.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 70 and -54.\nAnswer: -3780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 947527247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1352349 and 6291.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7*(-920)\/(-700)*(252\/24)\/21*15.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 3*f + 69 = -0*f, c + 4*f - 55 = 0. Let x(d) = -3*d - 25 + c + 40 + 2*d. What is the tens digit of x(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5664700.\nAnswer: 2, 5, 37, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11000011011 - 1010011111111?\nAnswer: -1101100011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 3*c - 88 = 0. Suppose 0 = -4*k - 5*b + 33, 0 = 49*k - 53*k - 3*b + 23. Solve -c = -4*g - g - 3*i, -3*g + k*i + 17 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one eighteenth of a hour in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/(-4347)*11607 - 8. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (116319\/88242)\/((-29)\/(-16))?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2 + (0 - (80 - -1)). Let h = 95 + p. Solve 3*t = -5*k - 2*t - 5, -3*t + h = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0013116 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1480, 1494, 1508, 1522?\n\"Answer: 14*k + 1466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 5 = 1. Suppose o*c = -30 + 52. Calculate the highest common factor of 55 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6274752, 12549507, 18824262?\nAnswer: 25099017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6\/49?  (a) 0.04  (b) -4  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m\/((m*m**0)\/m))**23)**(-12\/5))**(-40) assuming m is positive.\nAnswer: m**2208","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6564.\nAnswer: 2, 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.14?  (a) 2\/3  (b) -5  (c) 5  (d) -438\/1633\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0786283 to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 58 + -49. Differentiate -n*d**4 - 52 + 0*d**4 + 38 wrt d.\nAnswer: -36*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 7 = 1. Let u be ((-3)\/p)\/(18\/(-16)). Let j be (6\/(-10))\/((-35)\/(-25)). Sort u, j, 0.5 in increasing order.\nAnswer: j, u, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2745031?\nAnswer: 2745031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 12271439371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 9068387947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 97466981 and 42220.\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 73.9885 + -74. What is t rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -23*n + 10*n - 9*n in the form m*n + f and give m.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes after 9:47 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 129 divided by 3\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*((-4*(-6*(1*sqrt(78) + sqrt(78)) + sqrt(78)))\/(-2*sqrt(24)\/sqrt(4) + (sqrt(90)\/sqrt(3))\/sqrt(5)) + -1))**2*-2.\nAnswer: -201352 - 704*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 46 and 1840.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*w = -37*w - 50 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 143*s**3 - 11*s**2 - 7*s + 9. Let j be t(-10). Let i = -91763 - j. Suppose 4*h - i = 23742. Round h to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*t - 3*t + 384. Suppose -22 = -5*j + t. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*-39.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 527*b**3 - 9*b + 7. Let c(t) = t**3 - t + 1. What is 7*c(l) - s(l)?\nAnswer: -520*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (43 + 6*u - 43 + (-4 + 5 - 3)*(-5 - 2*u + 5))*(-1 - 2 + 2)*(2 + 1 - 2) in the form a + n*u and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 7695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -3*k - 5. Suppose 0*z + 4*l = -4*z + 4, 0 = k*z - 2*l - 5. Let n(j) = 2*j. Let p be n(z). Solve 2 = -p*o - 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -1*sqrt(2))**2 - ((sqrt(2) - ((sqrt(32))**2 + 2)) + sqrt(2)).\nAnswer: 8*sqrt(2) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**3 - 3*d**2 - 12. What is z(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from boboyvjoo. What is prob of picking 1 y, 2 o, and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 9\/2 - (-3)\/6. Find the second derivative of 0*q**3 - 2*q**3 - 3*q + 2*q**3 - 3*q**p wrt q.\nAnswer: -60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 115 = -333. Suppose 0 = -4*y + 5*z + 224, -4*y + h = -z + 4*z. Let j = y + -34. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15933974444 - -3?\nAnswer: -15933974441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -41*z + 42*z - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.02 - -0.08. Let k = 28\/11 + -96\/55. Which is the closest to d?  (a) k  (b) -3  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 45932, -0.1, -1, 37.\nAnswer: -1, -0.1, 37, 45932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -398 < -411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 783*o**3 + 4*o**2 - 11*o + 8. Let k be u(1). What is the greatest common factor of 56 and k?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -968*w - 2971. Let v(a) = -4845*a - 14832. Let c(o) = -33*f(o) + 6*v(o). Differentiate c(d) wrt d.\nAnswer: 2874","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/(-9) + ((-49704245)\/(-450) - 0). Let i = w - 110363. Let j = i + -91. Sort 5, -5, j in ascending order.\nAnswer: -5, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0\/(-4) - (1 - 3). Let v be ((-42)\/(-132))\/(l + (-2390)\/1196). Let t = v + -191. Which is the smallest value?  (a) 0.4  (b) -0.3  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (j + 0 + 0 + (2 + 4 - 4)*(-j + 1 - 1) + 0*j - 4*j + 2*j)*(-j - 9*j + 2 + 8*j) to the form d*j + f*j**2 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 30 = 5*a, -3*a + 2 = -2*a. Suppose 15 = p*q + 5. Solve -5*v**2 + 5*v**q - 2*v**2 + 0*v - 8 - 8*v = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 4*w**3 + 2*w**2 - 11. Let q(c) = -9 - 6*c - 13 - 20. Let d be q(-6). Let i(u) = -5*u**3 - u**2 + 12. Let x(h) = d*t(h) - 5*i(h). Calculate x(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*g + 163 + 159 = 59*g. Calculate the highest common divisor of g and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*f**3 - 340*f**4 + 338*f**4 + 0*f**2 - 2 + 2*f + 7*f**3 + 2*f**2 in the form r*f**2 + m + u*f**4 + y*f**3 + b*f and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1234733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 23 + -3 + 0 + -3 - (-67 - -75)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -172547.76485 to the nearest integer.\nAnswer: -172548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -5*a + 76, 0 = -5*y + 1 + 4. Suppose a*s = 23*s - 12*s. Solve p + 6 = -5*o - 10, s = -2*p - 3*o - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 235077, 235074, 235069, 235062, 235053, 235042?\nAnswer: 235029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c - 34. Let r be i(36). What is l in 32\/5*l + 2*l**3 - 34\/5*l**r - 8\/5 = 0?\nAnswer: 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**2 + 3*p - 2. What is l(5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 77813, 77809, 77803, 77795, 77785?\n\"Answer: -z**2 - z + 77815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 137\/6238871 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 78950449?\nAnswer: 73, 1081513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 434230.5986862809 - 433781.682618. Let s = -0.0837527191 - f. Let o = 449 + s. What is o rounded to five decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5381 - 71?\nAnswer: 5310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 2421895116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 44, 190, 432, 770?\n\"Answer: 48*j**2 + 2*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sl when two letters picked without replacement from {s: 1, p: 4, l: 4, c: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 = 4*w - 2*r, 3*w = 3*r + 2 + 43. Suppose w = -k + 5*m, 5*k = 3*m - 2*m + 21. Solve 5*q + 0 = -k for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**3 + 11*x**2 + x + 15. Suppose -3*d - 35 = -8*d. Let i be c(d). Suppose -3*t + 46 + i = 0. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*g - 9. Let a(w) = w**3 - 9*w**2 - 8*w - 29. Let r be a(13). Suppose 3*p - 12 = 0, -g*q + 257 = -5*p - r. List the prime factors of q.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**3 + 2*d**2 + 5*d + 4. Let n be v(-1). Suppose n = -2*p - 4*g + 491 + 665, -3 = -3*g. Does 72 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oeoe when four letters picked without replacement from ooeeoo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sssmwmnqqsmqqq. What is prob of sequence nmwm?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 8 = i. Suppose -i*j + 1 = -3. Suppose 13 = -5*v - 0*t + t, 5*v + j = -3*t. Let w(r) = 4*r + 3. Calculate w(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20190316.4*-4\nAnswer: -80761265.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -16 + 19. Solve 3*g - 11 = y, g = -4*y + y - m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f + 33*a = -201, 153*f + 154*f = 302*f + 4*a - 70 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that 2*t**3 - 24*t**2 - 32*t + 384 = 0.\nAnswer: -4, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5*(-1)\/(-21))\/(7*(-15)\/(-1260))?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -6*1*(-8)\/(-6). Let i = 29 - o. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9452 and 56236?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.6 + 0.96. Let u = 1.6 - a. Let l = -5 - -8. Which is smaller: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 439328851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:14 PM and 11:14 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3603 and 1182?\nAnswer: 1419582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.2 >= 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -2*sqrt(243))**2.\nAnswer: -72*sqrt(3) + 976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 78916203 to the power of 1\/2, to the nearest integer?\nAnswer: 8883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 317 is divided by 30?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3300001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1100937 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*t - 51817 = 76670 - 35267. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3571275 - 7713954133\/2160. What is the common denominator of b and -11\/54?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 8\/339 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 2*s - 9. Let l be v(9). Let d be l\/2 - (-2)\/(-4). Suppose -2*i + 2*t + 0*t + 20 = 0, t - 15 = -d*i. Put 1, i, 0 in descending order.\nAnswer: i, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-247)\/(-65)*(8 - (-8 - (-19)\/(190\/60)))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x**2 - x**2 + 2*x**2)*((0*x + 2*x - 3*x)*(1 + 1 - 4) + 0 + 2*x + 0).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.09899  (b) -14  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 87\/5852 and -59\/380.\nAnswer: 29260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 1\/81664, 0.4, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2018 + 203. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**3 - 13*r**2 - 42*r - 12. Calculate the least common multiple of 42 and y(-9).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = s - 0*s. Let l = s + 26. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q. Let b(h) = 815*h**2 - 19. Let a(k) = -136*k**2 + 3. Let i(w) = 38*a(w) + 6*b(w). Give i(t(p)).\nAnswer: -278*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3851.7km?\nAnswer: 3851700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-77)\/(-132)*32\/42. Which is the second biggest value?  (a) h  (b) 0.2  (c) -9  (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a millimeter in micrometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**3 + 5*m**2 + 4*m + 2. Let p be a(-4). Suppose 3*t + 14 = -2*s - p*t, -5*s + 2*t + 23 = 0. Solve 0 = -0*q + s*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -750*r**3 - 3234*r**2 - 6989719*r wrt r.\nAnswer: -4500*r - 6468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1*(-3)\/(-81)*-3\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-5)\/3 + (-154924)\/(-33).\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15 and 39405.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -5*y**2 - 180*y + 5600 = 0.\nAnswer: -56, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**2 - 32*r + 2. Let n be k(-32). What is the second derivative of 28*q**2 - 1 + 4 - 3 + n*q**3 - 52*q wrt q?\nAnswer: 12*q + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q + 16*q + 1085490. Round q to the nearest one thousand.\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*z + 2\/5*z**2 + 0.\nAnswer: 2*z**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, v: 2, i: 4, w: 3, c: 2}. Give prob of picking 1 z, 1 w, and 2 v.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -1969, 4\/3, 36, 13.2 in decreasing order.\nAnswer: 36, 13.2, 4\/3, -1969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 524376 and 109245?\nAnswer: 2621880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 4*x = 43, -2*c + 40 = 4*x + 58 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve u + 4*a - 7830 = -7786, -2*u + 9*a - 9 = -3*a + 3 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7.88234 + -0.11766. Sort -8.5, w, 3\/8.\nAnswer: -8.5, w, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -5*d + 4. Let q(x) = 26*x + 40*x - 1 + 0 - 67*x. Determine a(o) + 4*q(o).\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bjky when four letters picked without replacement from kjbjbjykhcch.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -6  (b) -9  (c) 22  (d) 0.05  (e) 2\/11  (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -15075*m - 452453. Determine a(-30).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-110)\/(-33))\/(18\/(-27)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1\/32 - 35\/96. Let h = x + 11\/6. Let d be 6\/4*2\/12. Sort d, 2, h in descending order.\nAnswer: 2, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -3513, -5205, -6897, -8589?\n\"Answer: -1692*l - 1821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - 4 - (-13 - -30)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*d*n**4 - 51*d*n**2 + 61*d*n - 3*d*u - d + 48916*n**4*u wrt n?\nAnswer: -72*d*n + 1173984*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s + 270 - 214 = 2*c, -3*c + 5*s = -34 - 17 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12377226 divided by 6.\nAnswer: -2062871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v + 8. Let s be d(-4). Find the third derivative of -s*w**2 - 3*w**2 + 4*w**2 - 3*w**6 - w**2 wrt w.\nAnswer: -360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2319 + 4729\/2. Let k = q + -811\/18. Let k + 2\/9*r - 2\/9*r**2 = 0. Calculate r.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 160422473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000069741 to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/((-2 + 1)\/(-2)). Let p be (n\/4)\/(5\/(-8)). Let y = 13 + -12.6. Which is the third smallest value?  (a) y  (b) p  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -437129068*s**4 - 59*s + 4182112 wrt s?\nAnswer: -5245548816*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 2*h = 0, 3*h - 10 = -2*h. Let j(a) = a - 3. Let i be j(4). Put i, 0, x in decreasing order.\nAnswer: x, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -2*t**2 - 4*t + 4. Let x(f) = -f**2 + 9*f + 11. Let s be x(9). Let y(j) = 6*j**2 + 11*j - 11. Determine s*l(p) + 4*y(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, -1\/38, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 2*s**3 + 348*s**2 + 405*s + 10596. Determine b(-173).\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34 + 111 = -23*r + 30 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 27461 + -137303\/5. Solve -r*o + 0 + 2\/5*o**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1175*n**3 - 129*n**2 wrt n.\nAnswer: 7050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*6134.\nAnswer: -1226.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j + 5*t + 145720, 5*j - 133758 = -2*t + 11990. What is the remainder when j is divided by 110?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20810 (base 12) in base 7?\nAnswer: 235206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w = -3*d + 21, 21*d - w + 33 = -2*d + 98 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1, 4, 14, -18 in increasing order.\nAnswer: -18, -1, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -57680 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**3 + 5*x**2 + 5*x - 5. Let d(l) = 4*l**2 + 4*l - 4. Determine -4*c(v) + 5*d(v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 405*u**2 - 403*u**2 + 108 - 539 to the form y + z*u**2 + i*u and give y.\nAnswer: -431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 7.42*-5\nAnswer: -37.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -79a (base 14) in base 13?\nAnswer: -8c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -1203*u**3 - 9*u**2 - 26*u + 50. Let t be z(13). What is t rounded to the nearest 10000?\nAnswer: -2640000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 509 - 506. Suppose -2*s**4 + 401*s**3 - s**4 - 11*s + 35*s - 416*s**l - 6*s**2 = 0. What is s?\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes before 9:35 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 244*j**2 - 698*j**2 - 506*j**2 + 6 - 1.\nAnswer: -960*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -8  (b) -0.6  (c) -3\/8  (d) 3.322  (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*r + 3 + 4 - 10 + 9*r**2 to p + b*r + c*r**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9329 is divided by 4010.\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 - 4. Put x, -2, -5 in ascending order.\nAnswer: -5, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*i + 215 = -2 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 11*u**2 - 9*u + 5. Give q(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**1*r*r**(-3)*(r**(2\/3))**38 assuming r is positive.\nAnswer: r**(73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 + 33 - (15\/24)\/((-249)\/42 - -6).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 21 + -15. What is the remainder when q is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6aa6 (base 11) in base 7?\nAnswer: 36102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42*m**2 - 44 - 52*m**2 - 7*m**2 + 42.\nAnswer: -101*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.85456 seconds in nanoseconds?\nAnswer: 3854560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the second derivative of -q**6\/6 - 3*q**5 + 75*q**4\/4 - 10*q**3\/3 - 150*q**2 + 4*q + 379. Let t(y) = 0. Calculate y.\nAnswer: -15, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-37 + (27 - (22 - 10)) - -5) + 23\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + y + 13 = 5*m, -m = 2*y - 17. Let i be 5\/(-4)*y\/(-6). Let w = 19.5 + -19.3. What is the closest to -0.3 in 0.4, i, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 118369?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 162 is divided by 56.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 7, s: 9}. What is prob of picking 2 i?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 11*g + 3. Let r be y(3). Let l be (-51)\/r + 4\/(-16). What is the nearest to 0.1 in 3\/8, l, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6143, -11299, -16455, -21611, -26767, -31923?\nAnswer: -37079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -63*p + 10. Let n be v(-3). Suppose -40 + n = 3*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (114*f - 16*f + 53*f)*(3 + 3 - 4) in the form g*f + n and give g.\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 4 = 0, -4*u - i - i = -1876. List the prime factors of u.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -2*g**3 + 71*g**2 - 37*g + 86. What is t(35)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2002132157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1312 (base 13) to base 15\nAnswer: c14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i + 7. Suppose j + 5 = -0. Let d be h(j). Solve -d*t - x = -2, 2*t - 5*t - x + 3 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**1)**(-19)*c**1*c*c*c*c*c*c**(-4)\/c*c*c assuming c is positive.\nAnswer: c**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -37*t**4 + t**3 + 285?\nAnswer: -148*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-five quarters of a year in months?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -16.59 to one decimal place.\nAnswer: -16.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/5*a**4 + 0*a + 0*a**2 + 0 + 2\/5*a**3.\nAnswer: -2*a**3*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14 (base 8) to base 5.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 207967567.\nAnswer: 207967567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2753?  (a) 1  (b) -2\/13  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17 + -16.7. Which is greater: -0.6 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**2 + 764*n - 763.\nAnswer: -(n - 763)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1253?\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 486 divide 38531538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 12 + 2)*(0*f + 0*f - f)*(2*f**2 + f**2 - 2*f**2).\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -16016356 + -2?\nAnswer: -16016361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3 - 0) + (3 - -10). Calculate the highest common divisor of 80 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(475)*-1*6 + (((sqrt(19) + -1 + sqrt(19) - sqrt(19)) + sqrt(19))*3 - ((sqrt(19)*-2)**2 + -1))*-4.\nAnswer: -54*sqrt(19) + 314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (6 - 0)*((-1)\/(-4) - 0). Let x = -128 + 143. Which is the third biggest value?  (a) 0.4  (b) w  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 663 (base 11) to base 2.\nAnswer: 1100011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/(-240)*-6*-6*6\/45\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*z**4 - 7*z**3 - 3*z**2 - 8 + 5*z**3 + 12 in the form g*z + y*z**4 + s*z**2 + r + w*z**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 957*h = 843*h - 3168*h + 111588 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 16) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -4 + (-4)\/(-8)*12. What is the closest to n in -1, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o + 3*a - 1, 2*o = -4*a - 0*a - 12. Suppose -p = p - o. Let w(x) = -1 - x**p + 2*x + 0*x + 2*x**2. Give w(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-23)\/(690\/216))\/(148\/(-555)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x, 1 d, 1 e, and 1 w when four letters picked without replacement from kkkxexdddwdkdkdkddwt.\nAnswer: 32\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15061272 and 666516.\nAnswer: 9948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000111000000001100 + -100?\nAnswer: -1000111000000010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes after 1:34 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 4, e: 2}. What is prob of sequence nene?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.19*-22.\nAnswer: -4.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9\/(189\/14))\/(46\/6)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 + -3 - -1)\/(-1)*-67. Let a = 27 - j. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 (base 13) in base 5?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4 - 1b1?\nAnswer: -1b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the first derivative of v**6\/18 - v**5\/15 - 3*v**4\/4 + v**3\/9 + 10*v**2\/3 + 4*v + 1328. Let h(a) = 0. Calculate a.\nAnswer: -2, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 255210646?\nAnswer: 2, 127605323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*w + 2*a = -a - 20, -3*a = 4*w + 23 - 9 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -21 - -43?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7 - -12. Suppose 2*j - s = -3*g, 0 = -4*g + 2*j + j + 1. Let f be (g + (-15)\/6)*-2. Solve f*q - 5 = 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 44\/572 + (-88)\/(-39) + -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 923, 922, 921, 920?\nAnswer: 919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmqmqmqqmmmmmmmqmm?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 18 + 3. Let h = k - 21.07. Let s = 0.33 - h. Which is the smallest value?  (a) s  (b) 0.06  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7586 by -4.\nAnswer: 3793\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 135029?\nAnswer: 135029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -44*-3*(-6)\/(-9). Suppose -o + 26 = -2*l. Is l >= 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49605932?\nAnswer: 2, 17, 61, 11959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -21*r + 73*r - 728 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (4 + -4)\/((-4)\/4) + 147. What is the greatest common divisor of 2877 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 133 + -130. Suppose -x - 64 = -4*v, -2*v + 0*x + 32 = -t*x. Solve -2*n - v = 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 889 and 862838?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4*(1 + 38\/(-44)). Suppose 0 = 1187*m - 1109*m - 390. Factor w*u**m + 14\/11*u**3 + 0 + 0*u + 16\/11*u**4 + 4\/11*u**2.\nAnswer: 2*u**2*(u + 1)**2*(3*u + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 8\/9*(-1)\/(-4). Let q = -0.2 - -7.2. Which is the biggest value?  (a) -4  (b) k  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -2*k**3 - 1. Is 3 a factor of b(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3763.041 rounded to the nearest ten?\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6562994 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -17, -14, -23, -50, -101?\n\"Answer: -x**3 + 10*x - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1113622793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 5*w**2 - 5 + w**3 + 4*w - 2*w + 0*w**3. Let l be i(-4). Suppose 0 = -l*u + 351 + 1122. Is u 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 {b: 1, c: 3, a: 1, k: 3, p: 5, t: 1}. Give prob of picking 1 a and 3 p.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 261946737?\nAnswer: 3, 13, 746287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*sqrt(125)*3.\nAnswer: -90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**3 - 4*w**2 - 5*w - 4. Let p be m(-3). Suppose -p*b - 20 = -6*b. Let j = 1\/15 - -4\/15. Sort -0.3, j, b.\nAnswer: -0.3, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/(-15)*(3800\/(-1824))\/((-495)\/(-22)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -101 or -106?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 805600 divided by -1060.\nAnswer: -760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yz when two letters picked without replacement from {z: 5, f: 8, y: 4}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -291882*u**3 + 533795*u**2.\nAnswer: -1751292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 x when two letters picked without replacement from ttttttxttttttttttt.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -14137, -56503, -127099, -225925?\n\"Answer: -14115*j**2 - 21*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -6*r - 1. Let q be o(-1). Let m(v) = v**2 - 6*v + 4. Let z be m(q). Which is the biggest value?  (a) -3  (b) z  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -95*(1 + 7\/(-5)) is divided by (7 - 4 - -7) + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 10 = 0, -y + 25 = -0*a - 5*a. Suppose y = -4*j + 6 - 2. Let i be ((-1)\/2)\/(j\/(-2)). Solve -o - i = 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(8\/7)*k*k*k**(-1\/3)*k)\/(k\/k**0)**28)**(4\/7) assuming k is positive.\nAnswer: k**(-2032\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the second derivative of -4*t**3\/3 - 5673*t. Let x(s) = s**2 + 4*s + 4. Let y(n) = -n**2 - 5*n - 5. Let k(u) = 5*x(u) + 4*y(u). Give k(j(v)).\nAnswer: 64*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 286 a factor of 7550114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i + 588 + 270. Suppose 2*a + 59*m - 159 = 58*m, -2*m = -6. What is the highest common divisor of a and i?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4362 is divided by 78.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 2*x - 52 = 0, 0 = -w - 0*w - 2*x - 18. Suppose -o = 17 - 5. Let g be w\/o - (-2)\/(-12). Which is greater: g or -2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14442532 divided by 4.\nAnswer: 3610633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -440707*g**3 - 35*g**2 + 53*g - 13.\nAnswer: -2644242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/8)\/(70\/560)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**3 - 8*h**2 + 7*h - 5. Let x be 4\/2*(36\/180 + 33\/10). Calculate j(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1025*g + 56076 - 71451 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, u: 6, f: 6, q: 4}. What is prob of picking 1 q and 1 n?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 4, x: 2, f: 1, n: 4}. Give prob of picking 1 n and 3 q.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes after 1:21 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:06 PM and 11:22 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3*r + 3*r + r)*(-65 + 34 + 49) - 2*r + 2 - 2)*(0*r**3 + 4*r**3 + 0*r**3).\nAnswer: 64*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 828 + -833 + -4 + 1 + 101?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 6*o + 53. Let m be u(-10). Let c = 3 + -7. Let k = c - m. Solve -k*a + w - 23 = -4*w, 3*w = -3*a + 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -14*x. Let c(q) = -6*q**2 + 7. Calculate c(p(m)).\nAnswer: -1176*m**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 174*z - 146521500 = 205*z. Round z to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2828, 3601, 4700, 6119, 7852, 9893?\nAnswer: 12236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17468545.\nAnswer: 5, 1201, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*-2*((sqrt(144)*-1)\/sqrt(12))**2*-5.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and 513028?\nAnswer: 205211.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 433691 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:10 PM and 1:05 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4 - 0*1\/(-2). Suppose 2*w + 10 = 4*w. Suppose -w*m + 18 = -2. Solve 0 = -5*a + 5*j + 5, 3*a = h*j + m for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c\/(c*c**(-6\/17))*c*c*c*c\/((c**(-21)\/c)\/c)*c assuming c is positive.\nAnswer: c**(482\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 501 + -501. Suppose k = 6*w + 542 - 2756. Calculate the highest common divisor of w and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2 - 0) + 8 + 3. What is the highest common divisor of z and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6697\/4 in -525, 2\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**3 + 7*u**2 + 16*u + 60. Give x(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l - 25 = 0, -4*q + 6*q - 5*l + 61 = 0 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 g when two letters picked without replacement from cgwawvq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 22962431?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -14716, 1\/13, 0.01?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11929008 divided by -32772.\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.651  (b) -0.1  (c) 87  (d) -19  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:41 AM and 7:16 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3181.\nAnswer: 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4*a**3 - 689*a**2 - 28*a + 1963357 wrt a?\nAnswer: 12*a**2 - 1378*a - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0\/(-1))\/((-5)\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 12 = 2*g - 2, -2*g + 26 = -5*b. Let s be 1*g - 36\/12. Suppose -4*q + 2*r + 0*r - 10 = 0, -3*q - 5*r - 14 = s. Which is greater: -13\/4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 2, e: 1, g: 2, k: 1, h: 1}. Give prob of sequence ghw.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 4\/5, -0.05, 0, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 0.26  (b) 4  (c) -0.77  (d) 1  (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 328 - 328.2. Let a = v + 0.1604. Round a to 3 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2*(20 + (-247)\/13). Sort 2, -40, -9, z, -5 in increasing order.\nAnswer: -40, -9, -5, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - k - 34 = -n, k = -5*n + 38. Suppose -n = -4*c, -5*q + c = -2*c - 814. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + 6 - 20 = -3*p, -2*p = k - 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 23749627567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -81384 divided by -27128?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*d*p**3 + 2*d*p**2 + 227*d - 8620*p**4 + 6*p**3 - p**2 + 101*p + 2 wrt p?\nAnswer: 12*d - 206880*p + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6095 is divided by 1068?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, 1\/3, -3489?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**1)**(-1\/10))**(-11)\/((z*z**(2\/9)\/z)**(-2\/115)*z**(-4)\/z**5) assuming z is positive.\nAnswer: z**(4183\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 176 = -3*p, -80 = 4*z - 7*z - 5*p. What is the smallest common multiple of 80 and z?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, o: 1, e: 6, d: 1, q: 2}. What is prob of picking 1 q and 1 o?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2906, -2910, -2914, -2918?\nAnswer: -2922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 795604 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 12219427, 24438858, 36658289, 48877720?\n\"Answer: 12219431*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3\/29083 - -174483\/145415. What is d in 4\/5 - i*d + 2\/5*d**2 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.05 in -4, -1696012, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -189860, -379726, -569590, -759452, -949312?\nAnswer: -1139170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*i + 59 - 45 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**2 - 11*a + 1. Suppose 37389 - 39803 = -34*q. Calculate the remainder when q is divided by j(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 0 + -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1499, -0.1, -8, -13 in increasing order.\nAnswer: -1499, -13, -8, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -e7 (base 16) in base 2?\nAnswer: -11100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -107 or -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10306 - -495. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 759960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 - 122?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 + -10501?\nAnswer: -10465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4.6 and 0.05.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 104427705*y + 54*y**3 - 104427705*y - y**2.\nAnswer: 54*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the third derivative of 0 - 1\/4*s**4 + 1\/120*s**6 + 1\/12*s**5 + 0*s - s**3 + 51*s**2. Calculate k(-4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1481, -2986, -4551, -6176, -7861, -9606?\n\"Answer: -30*k**2 - 1415*k - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.05, -6\/11, 0.443, -3\/11, 0.3?\nAnswer: 0.443","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 45*d + 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 579893 divided by 2481?\nAnswer: 579893\/2481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 15656351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35605984 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -152 (base 8) to base 14\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 + 2*j**2 + 3)*(-12*j + 24 - 24) - 20*j**3 - 7*j + 7*j)*(0 - 1 + 2)*(-8 - 8 + 10).\nAnswer: 264*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**2 + 3*h. Suppose 14 = -5*i - 2*i. What is n(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -975374*k*n**2 - 16*k*n + k - 355502111*n**2 wrt k?\nAnswer: -975374*n**2 - 16*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-3*10\/15)\/(-32)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 83 - (5 + -3 - (17 + (-22 + -1 - -13)))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((a\/(a\/(a\/a**0)))\/a)\/a)\/a)**(-6\/19)*a**(1\/4)\/a*a*a**(3\/7)\/a)\/(a**(4\/9)*a**(-5\/4)*(a**(-2\/3))**10) assuming a is positive.\nAnswer: a**(18631\/2394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11398 is divided by 5669?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 61 or 121\/2?\nAnswer: 121\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -5180*(768\/(-80))\/3 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s\/((s**(-6)\/s)\/s)))\/(s*s\/(s**7\/s)*s))**(2\/33) assuming s is positive.\nAnswer: s**(-10\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20, -9\/19, -1, -3, 5, -10 in descending order.\nAnswer: 20, 5, -9\/19, -1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 - -4. Let q be -3 + (5 - z) - -2. Suppose -q*h + 0*h + 14 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-7) - (-764)\/28. What is the first derivative of i**2 - 27*i + r*i - 3 wrt i?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 41 - 99 = 0. Suppose w*g = 37*g - 6. Factor -4\/9*y + 0*y**2 + 2\/9 - 2\/9*y**4 + 4\/9*y**g.\nAnswer: -2*(y - 1)**3*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001113082375 to 7 dps.\nAnswer: -0.0011131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/(4\/10 - (-378)\/(-770)). Let v(l) = -l**2 - 10*l - 4. Give v(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -29778\/4273 and -6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 + -14 - 137819*(-7 + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(68))*3)**2 + (-3 + sqrt(68) + 0)**2 + sqrt(68).\nAnswer: -46*sqrt(17) + 698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-5)\/(-3))\/(1\/3). Suppose 0 = -2*h + 3*l - 4, 0 = j*h - l + 3*l - 9. Let t = 462\/5 + -92. Is h greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 3*k**2 - 6*k - 6. Let t(o) be the first derivative of o**3\/3 - o**2\/2 - o - 110. Give g(y) - 6*t(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (9\/(468\/8))\/(1 + (-24)\/26). What is the smallest value in -2\/3, -2\/5, l, 1\/12, -2\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 18*f**3 - 4123*f**2 + 219*f + 3463. Calculate i(229).\nAnswer: 1173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 6*j - 10 = j, -3*l - 5*j = 22. Let o be 11\/3 + l + 1. Solve -1\/3*z + o - 1\/3*z**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -20, -51, -72, -83?\n\"Answer: 5*h**2 - 46*h + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -3559.036 to the nearest 10.\nAnswer: -3560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 16*j + 10. Calculate the least common multiple of 16 and y(0).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 68 and 119.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 982576 a multiple of 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wgew when four letters picked without replacement from {e: 6, w: 4, g: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.33475  (b) 3  (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 262 - -633861\nAnswer: 634123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**3 + 2*c**2 - c. Let v(n) = -28*n**3 - 16*n**2 - 328*n - 384. Let i(t) = -v(t) + 24*x(t). Factor i(s).\nAnswer: 4*(s + 2)*(s + 6)*(s + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 3)*(4 - 4 + 2*c) + (-1 + c + 1)*(1 + 0 + 1) - 2 + 2 + c - 11*c + 61 + 10*c + 3*c + c + 5*c + 3*c.\nAnswer: 10*c + 61","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 105881.5 meters to kilometers.\nAnswer: 105.8815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -14*a + 253 - 323 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5254447 and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9146613.\nAnswer: 3, 7, 435553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3602*z**2 - 7 + 7 - 2290*z**2 to the form u*z + s + c*z**2 and give c.\nAnswer: 1312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 322*v - 708. Let a(t) = 315*t - 707. Let b(l) = -4*a(l) + 3*j(l). What is the first derivative of b(h) wrt h?\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2186 + 2186. Let a(b) be the third derivative of -3*b**2 + 1\/24*b**4 + 0*b + 0 + m*b**3. Let n(g) = -4*g. What is n(a(k))?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-24)\/8 + (6 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25118401 is divided by 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/6)\/((-4)\/(-20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*c + 22*c + 8 = 0, 5*g = -c + 16237. What is the remainder when g is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 885 divided by -5.\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 11*b = -1200. Calculate the greatest common factor of b and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 31, -84, -2, -4 in decreasing order.\nAnswer: 31, 1, -2, -4, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes before 6:29 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sum 6 and 0.35919176523973.\nAnswer: 6.35919176523973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.07730948869 less than -1?\nAnswer: -0.92269051131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (396\/(-128))\/(-11)*(-40)\/(-30)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1*3 + (-18)\/(-30)*5. Suppose 4 = b*z - 2*z. Solve 11 = -2*n + z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 15*a. Suppose 4*w - 23 - 1 = 0. Suppose -9*s - 2*c = -w*s - 5, 0 = 3*s - 4*c + 19. What is o(s)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -135 (base 16) in base 5?\nAnswer: -2214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 7) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -75.518 + 5350?\nAnswer: 5274.482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -514*v + 514*v + 4*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 36153 or -18.79?\nAnswer: -18.79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -118762, -118452, -118148, -117850, -117558, -117272?\n\"Answer: -3*f**2 + 319*f - 119078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 124 is divided by 54.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 3, j: 1, y: 5}. Give prob of picking 2 y and 1 s.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**3 + 20*t**2 - 16*t + 91. Let q be o(-21). Let p(z) = -20*z + 10 + 21*z - 13*z. List the prime factors of p(q).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -150 > -782?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 277 (base 15) to base 8.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/(-5)*(-80)\/160. Put h, 0.2, -0.1, -54 in descending order.\nAnswer: h, 0.2, -0.1, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 236 + -235.7. What is the fourth smallest value in 4, -3, k, -0.06?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-36)\/16)\/((-2322)\/2064).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 15253*r + 74373. Calculate q(-5).\nAnswer: -1892","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1504484 less than -40.631368?\nAnswer: -1504524.631368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -533552*p - 107 = -533556*p - 95*c, 2*p - 4*c - 2 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c**2 + 43804*c - 218920 = 0 for c.\nAnswer: 5, 10946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.023 - -0.0292. What is k rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q + 3*n - 12, 6*n - 18 = 3*q + 3*n. Let w(p) be the first derivative of 13*p + 6 - 13*p + p**2. Determine w(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-1)\/(-3))\/(6\/18). Suppose -3*t = -11 - g. Suppose -4*d + 4*j = 3*j - 12, -2*d + t*j = -20. What is the highest common divisor of d and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 372487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 608552*z - 12355*z + 47048*z + 277073*z.\nAnswer: 920318*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3221305 < 3221315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u - 69 - 297 = 0. Suppose 2*b + 9 = 93. Let g = u - b. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -290 or -287?\nAnswer: -290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -17 - -17. Suppose 5*r + 10 = -3*d, -d - d = q. Let h be (r\/(-8))\/(3\/18)*-7. Which is bigger: 0.1 or h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -93*i**3 + 16971512 - 16971512.\nAnswer: -93*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 + 0 + 3 - -2. Sort -11, v, -3, 2 in ascending order.\nAnswer: -11, -3, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 3645912*i**2. Let z(w) = -2*w**2. Determine z(o(d)).\nAnswer: -26585348623488*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 234 - 5*a**2 + a + 233 - 466 in the form g*a**2 + y + s*a and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 5 - 16 = -3*w, 0 = -w - 4*r + 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 12008157.\nAnswer: -1\/4002719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-59 - 41 + 433)*(20*k + k - 2*k).\nAnswer: 6327*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 540.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/96 and 51\/77216?\nAnswer: 231648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -a, -x + 3*x + 5 = -a. Let z be (-1)\/x + (-7)\/(-4). Suppose 4*l + 2 = -z*c, 0*c + 3*l + 60 = 5*c. What is the remainder when 25 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1 - 122111?\nAnswer: -122110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/2)\/((-2)\/6*-15)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111111010100111100 - -10101?\nAnswer: -111111010100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 482445167.69 - 482445506.68999641. Let a = r - -339. What is a rounded to 7 dps?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(2\/((-2)\/2)))\/2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 667267.3 milliseconds?\nAnswer: 667267300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -465, -1184, -2375, -4032, -6149, -8720?\nAnswer: -11739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 + 36 - 8 - -5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4667, 2337, -3 in decreasing order.\nAnswer: 2337, -3, -4667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13 + 21. Suppose 0 = 3*s - s - t, -3*s + 17 = p. Suppose -p*w + 25 = -10. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g + 54654 - 54634 = 3*o, -8*o - 68 = 4*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rkmrnkmykggnyrmr. What is prob of sequence kkry?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -7 - 3 - 5 + 7*t - 1 + t**2. Let d be j(-9). Solve 4*k - 28 = -4*o, -d*k + 3 = -5*k + 5*o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*d**2*v**3 + 20051*d**2 + 123*d*v**3 - d*v**2 + 2*d*v + 9*d wrt d?\nAnswer: 4*v**3 + 40102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4 - (-20 + 13)) + -3*1. Suppose d = 5*h - 48 - 32. What is the remainder when 109 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -39976 - -75728. What are the prime factors of v?\nAnswer: 2, 41, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -8*w - 6. Give o(5).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -155*z - 1338 = -158*z. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29299 - 29324 - 29*s + 58669.\nAnswer: -29*s + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 487 = 4*q + 55. Let p = -11 - -59. Let u = p - q. What is u rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*b + 6*b + 23*d - 161, -2*b + 29 = 3*d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4102 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 m(q) = 2*q**3 - 35*q**2 + 150*q + 7. Give m(16).\nAnswer: 1639","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 67507 is divided by 63770.\nAnswer: 3737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g - 2*g = 130. Suppose u = 4*t + g - 0, -3*u - t + 91 = 0. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {a: 5, y: 2, l: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 83 + -335\/4. Let x = -0.4 + 0.1. What is the third smallest value in x, 1\/10, c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -38\/153 and 61\/9?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 13*p**4 + 15*p**2 - 66*p + 32192898.\nAnswer: 52*p**3 + 30*p - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 86 + -33. Let d = -14 - g. Let q = d - -64. Let l(y) = 3*y**2 + 2*y + 1. What is l(q)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**3 - p**2 - 2*p - 1. Let s(a) = -2*a**2 - 4*a + 42. Determine -2*c(d) + s(d).\nAnswer: 2*d**3 + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Do -128 and -126 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -13 + 18. Let m(g) = -g + 1. Let x(d) = 8*d - 5. Let r(n) = c*m(n) + x(n). Let j(o) = -3703*o + 10*o**2 + 3703*o - 13*o**2. What is r(j(p))?\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5569668?\nAnswer: 2, 3, 13, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -16 - -21. Suppose o - s*j = 33, 3*o + 4*j - 42 = -0*j. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 10949, 21879, 32809?\n\"Answer: 10930*v + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -55 + 54.91. Let o = n + 0.29. Sort 0.4, -4, o, -3 in descending order.\nAnswer: 0.4, o, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 6*h - 15. Calculate the remainder when 40 is divided by l(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -2*j. Let f(t) = -8*t**2 + 11*t + 6. Let l(o) = 17*o**2 - 23*o - 13. Let r(x) = 13*f(x) + 6*l(x). Calculate r(k(c)).\nAnswer: -8*c**2 - 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -23 - 15. Let i = l + 28. Let w = -10.00067 - i. What is w rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(539) - (sqrt(539) - 2*sqrt(539))) + (sqrt(88) - sqrt(88)*-3)\/sqrt(8) + 4 + -1.\nAnswer: 3 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*k + 705 = -0*k - 294351. List the prime factors of k.\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -4*d, 5*k + 2*d - 1039 = -2*d. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 2 n when three letters picked without replacement from mmmnnmumnnunmm.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sttixtttsf. Give prob of picking 1 f and 2 t.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 10*k - 1. Calculate the lowest common multiple of ((-25)\/(-50))\/(-1 + (-25)\/(-24)) and u(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4877341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 64  (b) -0.3  (c) -180319  (d) 2\/3  (e) 3  (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -366*a - 951*a + 1087*a.\nAnswer: -230*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v - f - 11 + 7 = 0, -5*f = -2*v - 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 355*p + 2274. Calculate c(-6).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**2 + 6*s. Let o be x(-6). Let l(y) = y**3 + 0 + 0*y**3 - y**2 - y + 10. What are the prime factors of l(o)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6244.5776593 - -2?\nAnswer: -6242.5776593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 191*a + 6199 - 6199 in the form t*a + p and give t.\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7\/3?  (a) 0.3  (b) 1\/4  (c) -2\/11  (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -191783631381010 - 5.\nAnswer: -191783631381015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2, 0, -3 in increasing order.\nAnswer: -5, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (187*q + 200 - 200)*(249 + 53 - 41 + 69) in the form a*q + o and give a.\nAnswer: 61710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 10*t**2 - 2*t - 1. Let c be y(-1). What are the prime factors of -2*(-1 - c\/2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9289*m**3*w**3 + 1471303*m**3*w**2 + 49589*w**3 + 157*w wrt w.\nAnswer: 55734*m**3 + 297534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-184)\/552*(-27)\/66?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 70\/25 + -2 - (-740328)\/40 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*k**2 - 2*k**2 - 5*k**2)*(k + 0*k + 0*k) + 0*k**3 - 6*k**3 + 3*k**3.\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 416638506 to the power of 1\/3, to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -99, -2, -1, 39 in descending order.\nAnswer: 39, -1, -2, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 2\/4 - 161\/(-46)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8190, 24445, 40700, 56955, 73210, 89465?\nAnswer: 105720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(21\/(-228)))\/(43\/1204*24)\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2 - -1)\/1 + 7. Let f be ((-6)\/2)\/(i\/4). Calculate the least common multiple of ((-1)\/2)\/(1\/f) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12032 (base 10) to base 9.\nAnswer: -17448","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is 26450.241 months in centuries?\nAnswer: 22.0418675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -5*w**4 + 200*w**3 - 2270*w**2 + 5400*w + 7875 = 0.\nAnswer: -1, 5, 15, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 128*b + 139*b + 123*b - 395*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 8464547 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -10*d**3 - 3*d**2 - 6*d - 3. Let j(y) = 2*y**3 + y**2 + 1. Let o(n) = -3*j(n) + s(n). Let k(a) = -a**3 - a**2 - a - 1. Determine 6*k(g) - o(g).\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 8*m - 3. Is z(5) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (22 + -28)*(-4)\/(-3). Is 2 - 4532\/k - 1\/(-2) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 384 - -1*(-8)\/4.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 108*r**2 + 527*r?\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jiij when four letters picked without replacement from iiiijiiiiiiijijiij?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 + -3223020?\nAnswer: -3223012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -176, -345, -514, -683, -852, -1021?\nAnswer: -1190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 68339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 53888868 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 474*u - 479*u - f = -16, -20*u = -24*u + 4*f - 16 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-16)*g*g**(-2)*(g*g**(2\/15))**(-32) assuming g is positive.\nAnswer: g**(-799\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**3 - 8*q**2 - 8*q + 11. Let l be m(9). Which is smaller: 19 or l?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 710684 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -11*c. Let t be d(1). Let b = t + 14. Suppose o = 5*q - 553, -b*o - 559 = -5*q - 5*o. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.14  (b) -1\/3  (c) 1\/3  (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 53 + -31. What are the prime factors of 54\/4 + (-11)\/c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the second derivative of h**5\/20 - h**4\/2 - 121*h**3\/6 + 63*h**2 + 5*h + 83. Factor r(g).\nAnswer: (g - 14)*(g - 1)*(g + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m = -202*l - 1030, 628*l - 5*m + 40 = 624*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.097 - -0.334. Are s and -2\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.953543 years to months.\nAnswer: 59.442516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 m when two letters picked without replacement from {j: 3, m: 15}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 50\/(-1) + (-56 - -50). What is the remainder when (-6)\/1 + 77*c\/(-98) is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -10*t**2 + 0 - 7 - 3 - t**3 - 12*t. What are the prime factors of c(-9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*z = -10*z + 4. What is the greatest common divisor of 2 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 4 = -2*v - 6, 5*d - 4*v - 18 = 0. Let i be 0 - (-1)\/65*d. Suppose 0 = -4*k - 0*y + 15*y + 60, -20 = 4*k + 5*y. Is i at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 165847?\nAnswer: 11, 15077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 4*a**2 + a - 1. Let y be c(1). Suppose -2*k - 1 + 29 = -y*u, 4*k - 61 = 3*u. Let m = 0 + 17. Solve -k = -t + p + 3*p, -m = -5*t - p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {u: 11, v: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-2)\/(-3))\/(2\/15). Let s = -3 + t. Suppose -s*f - 3*i = 5, 0*f - 19 = -2*f + 5*i. Solve -2 = -f*l + 3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z - 29 = -5*m, -3*m + 3*z - 17 = -7*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*d + 3*d + 0*d + (d + 0*d + 3*d)*(-2 - 1 + 1) + 3 - d - 3 + (31*d - 50*d + 31*d)*(4 + 1 - 6) - d + 0 + 0.\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -19*a**2 + 309*a + 221. Give s(17).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 127968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/(-28)*(-108 - (-314 - -187)).\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (356\/8 + 1)*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6 + 12. Suppose y = 5*l - 2*l. Suppose -4*k + 9*k + 3*w - 266 = 0, 0 = -4*k + l*w + 204. Calculate the remainder when k is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.065 + -0.035. Which is the nearest to n?  (a) 0.2  (b) -3  (c) -0.5  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -7, 1\/7, 2\/15, -5, 0.3, -3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 - 4. Let n be (-10)\/h - (-6)\/(-4). Is (-2)\/n + (-266)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the second derivative of 1\/6*t**4 + 0 - 2*t**3 + 19*t + 13\/2*t**2. What is the remainder when 224 is divided by f(8)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m. Let t be n(4). Suppose t*i - 3*i - 7 = 0. Suppose -2*z - 4*z = -12. Solve 3 = -z*j - i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 4*c = -i + 36, -3*c = -4*i + 8. Let j = -577 + 597. Solve -j = s - i*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11698985 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*h + 46 - 4 - 12*h - 24 in the form g + s*h and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = 294 + 876. Differentiate d + 25*s**4 - 23*s**3 + 23*s**3 + 7*s - 32*s**4 with respect to s.\nAnswer: -28*s**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000022314 rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -258*k - 33 - 2 + 34 + 36*k in the form p*k + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 4*u - 62, -4*q + 12*u = 8*u + 52. Let b be 2*33\/q + 4\/(-10). Which is smaller: -3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.084+-23217357416\nAnswer: -23217357415.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2508774689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 - 2927?\nAnswer: -2924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppppppdffpkdgffpfpfc. Give prob of picking 3 p and 1 d.\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 1 + 2 + 0 - 4 + (2 - 3 + 3)*(-2 - 1 + 5))*(-5*q**2 - q**2 - 3*q**2).\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 14*k**3 - 3*k**2 + 3*k + 2. Let i(q) = q**2 - q - 1. Give -g(o) - 3*i(o).\nAnswer: -14*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1031 (base 7) to base 5\nAnswer: -2430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 47, -22, -119, -244, -397, -578, -787?\n\"Answer: -14*w**2 - 27*w + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the third derivative of 103*q**5\/60 + q**4\/8 + 19*q**2. Let y be p(4). Suppose -w + y = -3*d, w + 2*w - 3*d = 4974. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -43 + 45. Solve -s = -3*l + 4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8292935, -8292938, -8292943, -8292950?\nAnswer: -8292959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 5 = 11. Suppose -24 = -2*d - 3*o, -l*o = -2*d - o + 32. Calculate the remainder when 58 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 27\/126*((-18900)\/(-144))\/(-75)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.8 + -49.8. Let u = -54 - n. Put u, -1, 34 in descending order.\nAnswer: 34, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-11)\/(-66))\/(6\/324)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + h + 4*r + 117 = 0, h - 149 = -4*r. Let p = h - 93. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 176530416 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the second derivative of -n**5\/120 - n**3 - 2*n. Let o(p) be the second derivative of m(p). Let a(k) = 3*k. What is o(a(q))?\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 42 + -40. Let w(d) = 74*d - 32. Let m be w(-2). Let v = m - -178. Put n, v, -13 in decreasing order.\nAnswer: n, v, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 26\/91*(-7 + 9).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 2*i - 25. Suppose -i*z - 9 = -4*g, z + 6*g - 1 = 4*g. Let n = 0.1 + 0.4. Which is the second biggest value?  (a) n  (b) -5  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28515?\nAnswer: 3, 5, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 134*z - 5175 - 4*z**2 + 2599 + 2580 in the form c*z**2 + o + t*z and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n**3 - 4*n**2 + 100*n + 100 = 0. Calculate n.\nAnswer: -5, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.6226 - 0.1226. Let z be (2 - (-52)\/(-22))\/2. Sort z, 0.17, o in descending order.\nAnswer: o, 0.17, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 3*m + j - 6 = 0, -m = 5*j - 11. Does 20 divide (-12)\/30*(-120)\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14 - 7) + 9 + -24 - (19 + -1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*i**2 + 12582670*i - 62913475.\nAnswer: 5*(i - 5)*(i + 2516539)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 108 divided by -98920?\nAnswer: -27\/24730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3476651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.18664 * 5.\nAnswer: -0.9332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 - 4. Let j be ((1 - -2) + 0)\/(-1). Let z = 21 + -20. Put h, z, j in descending order.\nAnswer: z, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {b: 4, s: 3, l: 5, f: 4}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.12 - -1.88. Sort 1, w, 48.\nAnswer: 1, w, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -425 - -419. Let j(v) = 27*v**3 + 6*v**2 - 6*v. Let g(n) = -26*n**3 - 5*n**2 + 5*n. Determine h*g(l) - 5*j(l).\nAnswer: 21*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d**1\/d)*d**(2\/17))\/(((d**3*d)\/d)\/(d*d\/d**(-1\/9))) assuming d is positive.\nAnswer: d**(35\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 65, 124, 181, 236, 289?\n\"Answer: -k**2 + 62*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1948 is divided by 130.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c**3 - 2*c**3 - c**3)*(c**2 + 0*c**2 - 2*c**2)*(5 + 3 - 4) + 0*c**5 + 3884*c**3 + 23*c**5 - 3881*c**3.\nAnswer: 27*c**5 + 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 + 5 + ((-36540)\/80)\/87)*(-20)\/7.\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -142401178 and 6?\nAnswer: 142401184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q - 5*c + 5 + 16, q - 2*c = 33. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the third derivative of 0 - 2\/75*n**5 - 1\/1050*n**7 - 1\/30*n**4 - 1\/120*n**6 + 0*n + 0*n**3 - 24*n**2. Solve k(y) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - (-3 + 7)) + 0 - 7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 6  (b) -1\/10  (c) -9\/131  (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 4*g - 2 + 6 = 0, 2*g + 14 = 5*j. Let b be (-18)\/24*170\/(-45) - 10\/12. Solve -j*c - 8 = -b*s, 3*c = c + 3*s - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the second derivative of t**3\/6 - t**2 - t. Let v be y(4). Solve 5*r - 4*u = -40, -v*r + 8 = 4*u - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 6*o - 330 = 0. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2334151861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -225 (base 9) to base 4.\nAnswer: -2321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes before 8:14 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t, 1 e, and 1 s when four letters picked without replacement from {s: 13, e: 2, j: 1, t: 3, r: 1}.\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000362 rounded to 7 dps?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -51, 2, -260.35, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -26.345, 7, 4, 2 in decreasing order.\nAnswer: 7, 4, 2, -26.345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/18 - ((-761)\/9 - ((-1680)\/(-45))\/112).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (275\/10)\/11*((-35424)\/(-135))\/16?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 3, t: 2, a: 13}. Give prob of sequence tt.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.8678212 seconds in minutes?\nAnswer: 0.04779702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 3, e: 3}. Give prob of picking 3 t.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -24196402*w**2 - 19447806?\nAnswer: -48392804*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 1632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -14?  (a) 2  (b) -1\/20  (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55147?\nAnswer: 55147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 276869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 46 + -11. Let s be 0 + 3065\/v + (-6)\/(-14). Suppose 5*i - 320 = -3*a, -a - 2*i + 18 = -s. Is a a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 + (4 + -7 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6412, -11610, -16808?\nAnswer: -22006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 262138609166*a - 262138609166*a - 2*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 11722994 - -3?\nAnswer: 11722997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2488 and 196241.\nAnswer: 1569928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10 + -5. Suppose 0 = -2*b + 133 - 49. Suppose -b = -r*u + 183. What is the remainder when u is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 5*x + 880 = 0, 0 = 2*i - i - 3*x - 288. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 189, 186, 183, 180?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 144 or 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 20592221 to the power of 1\/2, to the nearest integer?\nAnswer: 4538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*t - 5*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3*(9\/18)\/(2\/4). Suppose 5*f - y*o - 349 = 0, 2*f + 4*o = -f + 192. Calculate the remainder when f is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g**3\/3 - 9715*g**2\/3 + 4723915*g\/3 - 4714205\/3 = 0. What is g?\nAnswer: 1, 971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**3 + 2*d**2 - 7*d + 10. Let r be b(3). Suppose 2*v - 3*p - 85 = 0, 3*p - 21 = -2*v + r. Suppose 32*o = v*o - 24. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g - 3*s = 3*g + 37, 5*g = s - 21 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 + 1. Suppose 4 = -c*p + 2*r, -5*p = -r - 5 + 12. What is the common denominator of 31\/18 and 809\/36 - p\/(-9)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 1 = 17. What is the remainder when p is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 728 - 726. Let w(z) = 3*z**3 + z + 2. What is w(c)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/270271845 and -79\/144144984.\nAnswer: 2162174760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11 + 8. Let h(o) = o**3 + o**2 - o + 1. Let i(u) = -7*u**3 - 7*u**2 + 3*u - 1. Let f(s) = 4*h(s) + i(s). Is 30 a factor of f(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 19\/(-7) - 4\/14. Let x(d) = -d + 1. Let r(i) = -7*i + 7. Let u(y) = r(y) - 5*x(y). Is 7 a factor of u(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -5*w**2 - 506*w + 17932. Determine a(-129).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 701, 2881, 6517, 11609?\nAnswer: 18157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 157 a factor of 343830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -104*t + 47*t + 20*t + 5*t**2 + 9*t**2 as f*t + u + s*t**2 and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 40*r**2 + 10*r - 9. What are the prime factors of g(5)?\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 85*n**3 + n**2 - n. Let m be f(1). Suppose 4*k = 4*o + 100, 4*o = 3*k - o - m. Let z = k + -12. What is the lowest common multiple of 10 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 172*n**2 - 350*n**2 + 177*n**2 - 1723*n as p*n**2 + z + q*n and give q.\nAnswer: -1723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 5*a = -1 - 25, 4*a = -q. Let k(i) = 478756*i - 48. Let m be k(q). What is m rounded to the nearest 100000?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 1, e: 2, u: 1, g: 2, a: 1, b: 1}. Give prob of sequence ecgu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 913*o - 1004*o = -4368 for o.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 120\/9*(4884\/(-370))\/(-11).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -3*l - 54, 0 = 4*y - l + 20 - 104. Calculate the remainder when 108 is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 213 + -156 - (81 + -13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 8*p**3 - 34*p**2 + 10*p + 11. Is k(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2c0 (base 15) to base 5\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -4 - 4\/(-12)*3. Let d(w) = -w**3 - 3*w**2 + 2*w - 2. What is d(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 2*v**3 + 42*v**2 - 31*v - 38. Is n(-20) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 1 - 3)*(-4*v + 2*v - 2*v).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, a: 1, r: 1, y: 1, i: 2, t: 1}. Give prob of picking 1 f and 1 t.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**2 - 19*y - 27. Give o(-22).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 0 + 15 - 5\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-5)\/(-3) + (-6)\/(-18). Let q(r) = -r**3 + 4*r**2 - 2*r + 1. Let m be q(h). Suppose 3*s = -4*u - 46 + 123, -5*s - m*u + 135 = 0. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -d4404a (base 14) to base 12.\nAnswer: -2491542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-80) + (-14818)\/(-2480). Solve h + 5 = t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 64 = 3*d - 0*q, -d - 2*q + 28 = 0. Let o(x) = 5*x + 4. Let u be o(5). Let a = u - d. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, -0.05, -5, -328, 1\/3, -3\/16?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 5 = 1. Solve u = -q - 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**3 - 75*a**2 + 215*a + 70. Let y be r(72). Let l(k) = -k**2 + 9*k. Let i(m) = 10*m - 1. Give y*i(o) + 3*l(o).\nAnswer: -3*o**2 + 7*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = -37*q + 40*q - 632, 0 = -5*q - 5*l + 960. Calculate the remainder when 3585 is divided by q.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - (-29)\/16)*-12*(-30)\/(-270)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/196)\/(((-585)\/(-126))\/65).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 858 and 82914?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -80 (base 13) to base 7.\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) -199  (c) -1  (d) 2\/15  (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 2\/3, -0.5, 0.02, -2\/7, -11\/39?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -65591, -131180, -196769, -262358?\n\"Answer: -65589*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 712926.9 seconds to minutes.\nAnswer: 11882.115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 60556 and 3.\nAnswer: 181668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -49088546, -49088544, -49088542?\n\"Answer: 2*p - 49088548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -785.3662 and 1?\nAnswer: -785.3662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 7*f**3 - 6*f - 245. Let w(z) = -5*z**3 + 4*z + 163. Let g(p) = -7*r(p) - 10*w(p). Give g(0).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 662 - 323 - 328 - h. Let g(t) = -4*t + 44. Suppose 12 = 4*k + 5*l - 0*l, 4*k + l = -4. Let d(j) = k*g(j) + 9*o(j). Calculate d(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - p - 11 = 0, 3*h - 13 - 10 = -2*p. Let q(a) = a**3 - 6*a**2 + 6*a - 2. Give q(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 14  (b) -4  (c) 17  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 14101 - 14081. Let z = 9 - -3. Let a = z + 18. What is the highest common divisor of p and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(245)*3 - (sqrt(245) + (sqrt(245) + 0 + sqrt(245))*-5))**2 - -4*(sqrt(245) - -1*(sqrt(245) + (sqrt(245) + sqrt(245)*-3)**2)).\nAnswer: 56*sqrt(5) + 59045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10672 = -21*a - 2*a. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*p**4 - 150859*p**3 - 244180219*p wrt p?\nAnswer: 36*p**2 - 905154*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 6*a**3 - 2*a - 1. Let v be q(-1). Let t = v + -1. Does 8 divide (4\/t)\/(1\/(-39))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 48\/(-1224) - 513\/(-1377).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 5*g = -0*q - 25, -4*q - 37 = g. Let a(d) = d + 10. Let t be a(q). Which is bigger: t or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 148*z**3 - 188*z**2.\nAnswer: 888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-56)\/20 - 252\/60. Put l, 30, -2 in decreasing order.\nAnswer: 30, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 633?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2825 and 2712?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5\/24 of a decade?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n**2 + 4*n**2 + 2*n**2 + (-1 + 0 - 1)*(2*n**2 - 5*n**2 + n**2) + n**2 - n**2 - n**2)*(129*n - 19*n - 32*n)*(-4 + 3 + 2).\nAnswer: 624*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*w + 12*w = -10. Let v be (-4)\/w - 3\/(135\/28). Which is the biggest value?  (a) -4  (b) -12  (c) -5  (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.026 at most as big as 14317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 9\/(315\/(-10)) + (-2)\/(-7). Suppose 5*o - 10 = 3*p, 2*o + 3*p - 21 - 4 = g. What is the closest to 2\/7 in o, 2\/7, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1703?\nAnswer: 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 369 and -127.6?\nAnswer: -47084.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.5, 0.4, -2, 627, 0, 11\/97, -4\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -8*p**3 - 4*p**2 - 1957*p + 3926. Give t(2).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + (-3 + sqrt(175) - (sqrt(224)\/sqrt(2) + sqrt(7)) - 2*(sqrt(700) - sqrt(700)*-1)*-3))*5)**2.\nAnswer: 12000*sqrt(7) + 2520100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -100 - -202440?\nAnswer: 202340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 146595356 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*w = 9*w - 33 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4 and 39\/3 + (-10)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.034, -36\/11, -597, -4, 0.07 in descending order.\nAnswer: 0.07, 0.034, -36\/11, -4, -597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -11?  (a) 4  (b) -6  (c) -0.2  (d) 1\/9  (e) -64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 563.607 decades to years.\nAnswer: 5636.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.26  (b) 4  (c) -61  (d) -4  (e) -1  (f) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3584 + -3545. Sort -5, 0.14, 0, h in descending order.\nAnswer: h, 0.14, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 22*m - 8. Calculate g(-7).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1856286 and 1.\nAnswer: 1856287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.17 - 1.2. Let r = l + 1.072. Let i = r + -0.0420128. Round i to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 l when two letters picked without replacement from eeebbldbgegblgeggee?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -1120 = -6*b - 82. Suppose 5*z - 279 = m, -3*z + 4*m + b = 9*m. What is the highest common factor of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**4\/7 + 16112*m**3\/7 + 32417328*m**2\/7 - 129862720*m\/7 + 129927200\/7.\nAnswer: 2*(m - 2)**2*(m + 4030)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 70816681.\nAnswer: 13, 823, 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-16)\/60)\/(6\/15). Let g = 5\/3 + -34\/15. Which is the nearest to -0.1?  (a) h  (b) g  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6+-4\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*z + 493 - 485 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 3*u**2 + 7*u + 4. Let n(b) = -13*b**2 - 29*b - 16. Let j(x) = 9*l(x) + 2*n(x). Let g be j(-6). Let z = g + -5. Solve 0*i - 15 = -z*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*u = -109*u + 9*u + 679428. Calculate the highest common factor of u and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*n = -15*n + 58. Suppose -27 = 2*i - n. Let u be 3\/12 + (-19)\/(-4). Solve -4*c - u = -i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -208*h - 32 = 209*h - 433*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6)\/4*(-20)\/6. Suppose -2*i = -n*i + 15. Find the third derivative of -z**5 + 3*z**5 - z**i - 2*z**2 wrt z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -70*a**3 - 27*a**3 - 1444*a**2 - a**4 + 98*a**3 + 2 as u*a**4 + d*a**3 + l*a + y + t*a**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 69583980, 139167963, 208751946, 278335929, 347919912, 417503895?\nAnswer: 487087878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*l - 125772 = 68*l - 139*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 - 4)\/(4\/(-2)). Let f = -1886.46 - -1886.3. What is the biggest value in f, -2, -0.3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3243017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, e: 2, t: 2, s: 1, m: 1, l: 1}. What is prob of sequence el?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (450\/112)\/5 + (-3)\/8. What is the second smallest value in m, -1\/8, 0.001?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -225*z + 22476 = 19551 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 359.2 + -297. Let f = y - 62. Let m = 11\/25 + -2\/175. Which is the second smallest value?  (a) -0.3  (b) m  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 21*u - 5. Let p(n) = 22*n - 6. Let s = 1459 + -1453. Calculate s*h(c) - 5*p(c).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -34*k**4 - 3*k**3 + 2*k - 73.\nAnswer: -408*k**2 - 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**3 + 13*y**2 + 66*y + 33. Determine v(-5).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 79265 is divided by 923.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of 8.9 and -2292.\nAnswer: -20398.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1138871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 8.34 times 0.208\nAnswer: 1.73472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jooj when four letters picked without replacement from {j: 9, o: 7}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -2*x**3 - 8*x**2 - 166*x - 812. Give j(-5).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, l: 8, i: 1, n: 1, m: 1, o: 4}. What is prob of sequence im?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -403*j - 228*j - 49*j + 88*j.\nAnswer: -592*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the second derivative of 5\/6*j**3 - 1 + 5\/12*j**4 + 5\/2*j**2 - 2*j + 7\/20*j**5. Let u(m) = 4*m**3 + 3*m**2 + 3*m + 3. Calculate -3*g(c) + 5*u(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g - 1. Let u be y(-1). Which is smaller: -3\/23 or u?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-14)\/(-4)*24\/7. Suppose 2 = 2*o - q. Let d = 2 + o. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1410 - 1390. Calculate the greatest common divisor of r and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*o**2 + 8*o - 6*o + 8*o**2 + 3*o**2 in the form i*o**2 + p*o + x and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6.04 - 6. Let s = g - -0.08. Let j = -0.12 - s. Round j to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, w: 2, f: 1, h: 2}. Give prob of sequence wd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11 - 13. Let h be a\/10 + 48\/15. Suppose 17 = h*f + 4*l, f + 5*l - 2 = -0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 652 and 311656?\nAnswer: 311656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-4)*(-25 + 11). Let b(z) = 0*z + w*z + 4*z - 7*z - 1. Determine b(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 201 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 129 + -97. Find the third derivative of -377 + 8*y**5 - n*y**2 + 377 wrt y.\nAnswer: 480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3.508 - 0.438. Let f = m - 0.07. Is 3 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 80005 or 80004?\nAnswer: 80004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:46 AM and 12:30 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 12244.618 rounded to the nearest ten?\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 54 divide 8314650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -51132320.9 from 0.2.\nAnswer: 51132321.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 284*f. Let o(c) be the first derivative of c**2\/2 - 436. Calculate o(p(j)).\nAnswer: 284*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/1854 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/5580 and 97\/1240.\nAnswer: 11160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + (-2 - 1 - (-76 + (23 + 8 - 7))).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*q**2 - 280*q - 4*q**2 + 0*q**2 + 364*q - q**2.\nAnswer: -q**2 + 84*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3935683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 + 9. Suppose w - 1 = -o. Let b = w - 0. Are -1 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the second derivative of -a**6\/120 + a**5\/12 - 5*a**3\/6 + 3*a**2\/2 + 2*a. Let o(l) be the first derivative of n(l). What is the tens digit of o(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s**5\/5 - 508*s**4 + 790904*s**3\/5 + 9975292*s**2\/5 - 35399866*s\/5 - 506205392\/5 = 0. Calculate s.\nAnswer: -11, -8, 7, 641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.2  (b) -4  (c) 0.2  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 17*a**3*q**2 + a**3 - 5*a**2*q + 7*a + 5556 wrt q?\nAnswer: 34*a**3*q - 5*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 182 and 10.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -517*c**3*v - 6*c**2*v**3 + 2*c**2*v - 13072*c*v**3 wrt c.\nAnswer: -3102*c*v - 12*v**3 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*w - 44*w = 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 45, 196, 441, 774, 1189, 1680?\nAnswer: 2241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**5)**(-1\/49)*(n*n**(-3)\/n*n)\/n**(-14) assuming n is positive.\nAnswer: n**(583\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:56 PM and 5:50 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes after 6:01 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 7) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -126\/5*f + 36 + 28\/5*f**2 - 2\/5*f**3.\nAnswer: -2*(f - 6)*(f - 5)*(f - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2332313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4.645463186 - -6.\nAnswer: 10.645463186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 13*m - 9. What is the remainder when a(6) is divided by (-3 - -15)*26\/52*(3 + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -19, -3, -15 in decreasing order.\nAnswer: -3, -15, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3900 + 997 + 914 + 16*u + 995 + 994.\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.475552 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1542 and 168849.\nAnswer: 337698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20, -111, -256, -449, -684, -955?\nAnswer: -1256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -59*p - 3. Let m(g) = 2*g**2. What is m(o(c))?\nAnswer: 6962*c**2 + 708*c + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -6 + 22*c + 8 - 2*c. What is the remainder when 87 is divided by m(1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 117*j - 127*j = -30 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r - 10, -r + 5*r - 19 = -w. Let y be w\/(-2) + (-12)\/(-8). Solve -2*n - 5*z = -0*n - 5, 0 = -n - y*z + 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that k**2 + 18228*k + 781955 = 0.\nAnswer: -18185, -43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 100122220221012 (base 3) in base 5?\nAnswer: 2303321011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 2 k when four letters picked without replacement from teggggggkeegegkgggt.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 428 + -458. Let b = 319113590 + -319113620.0000049. Let f = m - b. Round f to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 81\/34160 and 57\/47824.\nAnswer: 239120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 1244161451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.022035147 rounded to 5 decimal places?\nAnswer: 1.02204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*h**2 + 11*h**2 + 11*h - 11*h in the form z + q*h + c*h**2 and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -245 - -246. What is the common denominator of ((3 + 124\/(-42))*-59)\/l and -25\/8?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56278399.\nAnswer: 19, 83, 127, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 12 - 10. Suppose -7*l = -d*l - 20. Let b(i) be the first derivative of -i**4\/4 + 5*i**3\/3 - i**2\/2 + i - 1. What is b(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the second derivative of -h**3 + h**2\/2 + 3*h. Suppose g + 5*a - 5 + 27 = 0, 4*g = a - 4. What are the prime factors of j(g)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5044\/(-679) + (-4)\/((-16)\/28).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 46 + -32. Put 0.2, y, -5 in ascending order.\nAnswer: -5, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 2*x**2 - 13 + 3*x**2 + 4*x**2. Let a = -18 + 10. Let d = a + 2. Let c(f) = 2*f**2 - 3. Give d*h(i) + 26*c(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 112570.\nAnswer: 2, 5, 11257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -136274 equal to -136271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 + 10*n**3 - 1983*n + 3962*n - 1981*n + 2*n**4 + 2*n**2 to the form i*n + u*n**4 + x*n**3 + l*n**2 + j and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -61 + 66. Suppose -v*x = -2*x + 5*l + 4, -2 = -3*x - 2*l. What is the nearest to -1\/4 in x, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 - 6. Let g be w + 0 + 2 - -2. Suppose -5*y - 43 = -g*s, -5*s + s = -4*y - 68. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) -3  (c) 3631  (d) 4\/3  (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 63*b - 83*b - 2 + 2 to the form y + x*b and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 7305531377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of -8864 and 3767.\nAnswer: -33390688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 72 - 71. What is the units digit of (-54)\/135*(-145)\/d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (95\/(-6))\/(-19)*281424\/74620.\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cvccvqvccvccvv. What is prob of picking 2 c, 1 v, and 1 q?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 5*y - 18. Suppose 3*x + 90 = 3*l, 2*x = l + y - 34. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -14, -2\/21, 1\/2, 0.16, -2\/11, -4\/17?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*r + 13*r - 2*a + 1652 = 0, -a + 413 = r. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 864504 divided by 8\nAnswer: 108063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -152\/55 + 9281\/990. Let j = -83\/605 + 17161\/1210. Let x = j + -2012\/99. What is the common denominator of o and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -17 - (-2 + 10 + (-271 - -273))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 4*o = -20, -15 = -4*r + 5*o + 16. Suppose -t + 3 = 0, 5*y - 6*t + r*t = -126. What is the units digit of ((-126)\/(-4))\/((-3)\/y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10228890 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let g = -86 + 144. What is the remainder when 1\/((-13)\/105196*-28) is divided by g?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**2 - 5*i + 2. Let a = -55 + 28. Let s be 112\/18 - (-6)\/a. What is the remainder when 22 is divided by d(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = -9, s + 3*c = -0*s - 5. Solve -5*o - 22 = l, -o = -6*o - s*l - 28 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in thirty-seven fifths of a gram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the first derivative of 4*d**3\/3 + 16*d**2 + 64*d - 3. Suppose z(j) = 0. What is j?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 463*w - 52570. Determine q(114).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1000 (base 2) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 68192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -36 - -40. Let o(i) = i - 6. Calculate o(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 4, b: 1, p: 2, f: 1, t: 8}. What is prob of picking 2 p and 1 f?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 323523496?\nAnswer: 2, 379, 106703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a = 2*x - 21, -a + 3*x = 6*x for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 13403053099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 71.183754ms in hours?\nAnswer: 0.000019773265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**3 - 8 - 6*n**3 + 2. Suppose 2*l + 4 = 14. Let q(m) = 4*m**3 + 5. What is l*y(h) + 6*q(h)?\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.27  (b) 0.4  (c) -1332\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:32 AM and 8:59 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 128, 102, 76, 50, 24?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -6*h**2 + 7*h + 6. Let r(k) = 6925169*k**2 - 6925168*k**2 - 3*k + 2*k - 1. Give 3*j(z) + 21*r(z).\nAnswer: 3*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**3 + 18*u**2 + 19*u + 7. Calculate o(19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from ubbtmgvbvbtv?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24\/(29256\/(-23)))\/1.\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 19104071587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the third derivative of -c**5\/60 + 13*c**4\/24 - 4*c**3\/3 + 7*c**2. Let p be r(12). Let n = -6 - -12. Solve -n*o = -p*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13 - -14. Let u = 2 - 1. Let z be -2 + 3 - (-9)\/(-7). Which is the closest to u?  (a) 3  (b) z  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2510.3 + 2518.3. What is the second smallest value in 0.2, 0.004, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/(-4) - ((-500)\/16 + 31)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 207 and 702.\nAnswer: 16146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes before 12:24 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12766 - 11338. Calculate the greatest common divisor of 612 and q.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*p - 6*p**2 - 92*p + 50*p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.011438 rounded to 4 decimal places?\nAnswer: 0.0114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -41 + 23c8?\nAnswer: 2387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*v + 2*m + 34, -1091*v + 540*v - 51 = -548*v + 9*m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.1, -1, 1\/7, -0.28?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kn when two letters picked without replacement from {n: 5, k: 5, q: 3}?\nAnswer: 25\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*x = 4*p - 45, 2*p - 67*x + 65*x = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(1700) - (sqrt(1700) + 1)**2) + (-2*sqrt(2448) + 1)**2.\nAnswer: -58*sqrt(17) + 8093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve j**3\/5 - 21596*j**2\/5 + 86368*j\/5 = 0.\nAnswer: 0, 4, 21592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 243 minutes after 9:19 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 32860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - (-1 - 10) - (4 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*x - 25*x = 68. Let y = x - 17. List the prime factors of 1 + y - 30\/(-1).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 14.29325 centuries?\nAnswer: 1429.325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((-4 + sqrt(64)\/(sqrt(12)\/(sqrt(6)*-1)))**2 + -1) + -2.\nAnswer: 128*sqrt(2) + 186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkttk. Give prob of picking 2 t and 1 k.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7.4 + -7. Let c = x - 0.5. Let d = -0.44 + 0.04. What is the nearest to 1 in c, d, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3575470 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 4*a**3 - 1 - 206*a + 206*a - 5*a**3 - a**2. Determine b(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (68724\/(-26726))\/(-5*(-3)\/28).\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-33)\/(-8) - -1) + 4 and -109\/44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (238*q + 27*q - 21*q)*(q + q - q)*(-2*q + 0*q - q) as w*q**2 + a*q**3 + g*q + y and give a.\nAnswer: -732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 36666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.3, 1\/3, -2\/13, 2.12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes before 5:00 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-12315)\/(-30))\/((-2)\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3.4 + 3.3. What is the nearest to 1 in -0.5, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4499 - 80857\/18. What is the common denominator of -67\/26 and b?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v + 0*v - 2 + 1. Let f be g(5). Let n = -27 - -27. Which is the closest to 1?  (a) 0.5  (b) f  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-14)\/(-16))\/((-642)\/20544).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u**2 - 3*u**2 + 5*u**2)*(161*u**3 - 21*u**3 - 48*u**3) - 5*u**5 + 3*u**5 + 0*u**5 + (-4*u**3 - 2*u**3 + 5*u**3)*(3 + u**2 - 3).\nAnswer: 365*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -3*v + 7. Let m(h) = 4*h - 8. Let d(b) = b**2 + 6*b + 7. Let l be d(-5). Suppose 4*s - a + 2*a + 23 = 0, 4*a = l*s - 2. Calculate s*m(x) - 6*j(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 40611 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 7810 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 m(q) = q**3 + 9*q**2 + 4*q + 6. Let b = -22 + 18. Let y be m(b). Calculate the highest common divisor of y and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -16*s**3 - 3*s**2 - 2. Let m(x) = -33*x**3 - 5*x**2 - 3. What is 7*g(q) - 4*m(q)?\nAnswer: 20*q**3 - q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from nnhhhhhhhnhhnnhhnhh?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, -4, -5, 824 in decreasing order.\nAnswer: 824, 2, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 82685 and 50770.\nAnswer: 839583490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -e (base 16) to base 9.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 12102231311 (base 4) to base 9\nAnswer: 3083645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (22\/726)\/(1\/(-6)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -47*z**2 + 127*z**2 - 98*z**2 + 52*z - 7509 with respect to z.\nAnswer: -36*z + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.22 and 14.\nAnswer: 13.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 1764*t - 33848. Give n(19).\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-54))\/((-1)\/(-3))*(1040\/8)\/(-5)?\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*w**4 - 69*w**3 + 228*w**2 - 156*w = 0. What is w?\nAnswer: -26, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1148 divided by -41.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -245*r = -255*r + 70 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-28)\/8*20\/(-140)*-1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n + 2*v + 3015 - 2999 = 0, -4*n - 5*v = -30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 42240628*h**2 + 106535230 with respect to h.\nAnswer: 84481256*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 96266369?\nAnswer: 19, 173, 29287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 31, -9\/5, -2\/21, 3\/2 in decreasing order.\nAnswer: 31, 3\/2, -2\/21, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**3 + 20*m**2 - m - 12. Let b be l(-20). Solve -b = -w - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*m - 6*m = -2*b - 26, -3*b + 17 = -2*m. Suppose -1 = -5*j - 41. Is j > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*y + 15, -3*d - y = 2*y - 18. Suppose -d*o + 3*h - 27 = 0, -21 = -0*o + o - 4*h. Suppose 3*p = p + 10. Put p, -4, o in ascending order.\nAnswer: o, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 42 and 44947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*h + 7*h + 44 = 0. Calculate the remainder when 75 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z + 10 = 5*t, 0 = -2*z + 44*t - 40*t - 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a + l - 9 = 0, -2*a - l + 4*l - 23 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 19 + 1 + (-26 - -50) + -29?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*u + 2*u - 4*u)*(u**2 + 2*u**2 - 4*u**2) + (26 - 104 - 211 - 36)*(0*u**3 - 5*u**3 - 4*u**3) to the form a*u + h*u**3 + m*u**2 + d and give h.\nAnswer: 2924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -20.7 and -21977.\nAnswer: 454923.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 99\/(-12) + 2\/8. Let k be 2\/i + 169\/52. Find the second derivative of -t**3 + t**3 + 2*t**4 + k*t wrt t.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 2*s)*(-s**3 - 3*s**3 + 0*s**3)*(-731 + 855 + 1695).\nAnswer: -14552*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 5392014505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 72934.425 microseconds to hours.\nAnswer: 0.0000202595625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-3)\/a*a)**(1\/11)\/(a**(2\/7)\/(a\/a**9*a)) assuming a is positive.\nAnswer: a**(-582\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.44 - 19.44. Let v = j + 19. Let f = 0.51 + 4.49. What is the fourth smallest value in -0.3, f, 1\/4, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 1*(1 + -6*(-1 + (-1*sqrt(98))**2*-1))*3.\nAnswer: 1787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000508415573 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 8*p**2. Let y(w) = -9*w**2 - 2 + 4 + 3*w + 10*w**2 + 2*w. Let k be y(-7). Let z(h) = -8*h**2 + k*h**2 - 10*h**2. Give z(s(b)).\nAnswer: -128*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12 and 3714?\nAnswer: 7428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -92 + 167. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(26)\/(sqrt(2) + sqrt(2)*1))**2 - (sqrt(637) + 0) - (-1 + (sqrt(26) + 3*sqrt(26))\/sqrt(2))**2.\nAnswer: -823\/4 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 409 is divided by 167?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4  (b) 0.06  (c) 0.061  (d) 2\/31  (e) -4.6  (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 1 - 4)*(62*z + 28*z - 3*z**2 + 2*z**2) to the form n*z**2 + p + u*z and give u.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**2 + n. Let o(j) = j**2 + 81*j + 19. Let c(p) = -2*h(p) + o(p). Let a(q) be the first derivative of c(q). What are the prime factors of a(0)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (184*x - 60*x - 87*x)*(-1 + x**2 + 1 + (x + 0*x + 0*x)*(-x - x + 3*x) - 5*x**2 + 3*x**2 + 3*x**2 + 2*x**2 + 2*x**2 - 2*x**2).\nAnswer: 185*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 + 4. Suppose y*p - 220 = 780. Suppose 5*s + 5*t - 441 = 169, p = 2*s + 4*t. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3348\/7812)\/(2\/(-210)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3\/7  (b) -550  (c) 0  (d) -4\/29  (e) -7\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 870 and 1328867.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -85 + 80. Let o(v) = -2*v. Let r(g) = -2*g. Let w(m) = t*r(m) + 4*o(m). Let l(z) = 3*z**2 + 0*z + 0*z. Calculate w(l(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -31 + 49. Let w be ((-16)\/t)\/((-4)\/18). Solve -h + 0 = -w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/5  (b) 2\/13  (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 316445*y - 1898664. What is q(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*s + 113547 + s - 113545.\nAnswer: -28*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.013265022835 rounded to 7 decimal places?\nAnswer: 0.013265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - (-8 + 13)) + 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.18619 * -3.\nAnswer: -0.55857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes after 10:26 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 0 - 27*j + 23 + 2*j**2 - 4. Let p be s(13). Suppose 0 = 2*y + p*b - 3*b - 399, -4*y = -4*b - 768. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/((-48)\/(-28))*-6. Let k be (4\/(-6))\/((-4)\/6). Let g = k - s. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -404 - -407. Which is the second smallest value?  (a) 0.2  (b) z  (c) 2\/11  (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 2*i - 14 = 0, 3*r + 2*i - 5 = 4*r. Differentiate 2 + 0*a**r - a**3 - 8 with respect to a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -18*y + 6. Let k(g) = -52*g + 10. Let u(f) = 5*k(f) - 14*p(f). Determine u(0).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -2*c, 0*c = i - 3*c - 14 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 14397 divide 3001083444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 150 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-294)\/9)\/(4\/(-6)). Suppose -w = -5*v - 14. What is the greatest common factor of 35 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 40 + -38. Determine d, given that 9*d**g - 16*d**3 - 17*d**2 + 48*d + 2 + 4*d**4 + 34 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/18 - (-76)\/24. Suppose s*w + 0*c = -4*c + 48, 0 = 2*w + 4*c - 32. What is the greatest common factor of 144 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 176385346945 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 206644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 49121.2418 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 40 = -3*k, -4*k - 2*m = -7*k + 5. Suppose -2*z - 5*f = -4*z + 15, -k*f - 5 = 0. Suppose 2*a = z*a - 747. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/3*i**3 - 4\/3*i**2 + 0 + 0*i.\nAnswer: 4*i**2*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**2 + b + 7. Let n be v(4). Let q(y) = -103*y - 15. Let l be q(n). Round l to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 2*a**2 + 2*a + 4. Let b be (-48)\/18 - (-2)\/(-6). What is the units digit of h(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {x: 5, k: 5, o: 5, b: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1120117949*n**2 + 82730306*n - 2.\nAnswer: 2240235898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 + -193?\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*c**4 + 996*c**3 - 2518*c**2 - 6984*c + 15912 = 0.\nAnswer: -102, -13\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 b when two letters picked without replacement from eeeeebeebee?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -392628, -392648, -392674, -392706, -392744, -392788, -392838?\n\"Answer: -3*y**2 - 11*y - 392614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -139*j - 108*j**2 + 283*j - 144*j.\nAnswer: -108*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the second derivative of -s**6\/120 - 3*s**5\/80 - s**4\/16 - s**3\/24 + 4*s. Solve q(b) = 0 for b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o + 4*r - 8*r + 856, 856 = o + 5*r. Does 58 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the first derivative of 13*j**2\/2 - 2. Suppose 0 = n + n - y - 156, 0 = 2*n - 3*y - 152. Let x(h) = n + h**2 - 79. Give x(t(b)).\nAnswer: 169*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is four thirds of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + -4 - (1 - (-4 - -10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 26327263.\nAnswer: 2\/26327263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -18859\/10 + 1881. Find the common denominator of 23\/11 and h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1551 + -1414. Solve 32 = 145*n - v*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 261.93132379 - -0.05257621. Let h = -672 - -410. Let u = h + b. What is u rounded to 3 dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 145 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1822)\/(-4) - 1\/2. Determine o so that 23 - 235*o**2 + 34*o**4 - t*o**3 - 113 + 211*o**4 + 375*o = 0.\nAnswer: -1, 3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 - 0. Suppose -5*y - 1 = -u*d, -3*y + 3*d - 12 = -2*d. Let z be (-4)\/(-10) - 22\/80. Sort -1, y, z.\nAnswer: -1, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.2 - -0.2. Let r = 3 - 5. Let o be (-148)\/144 + 6\/(-27). Which is the third smallest value?  (a) r  (b) o  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 472972 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -86959 and 13?\nAnswer: -1130467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7102*l + 5*h = 7100*l + 17, -4*l + h - 4*h + 27 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -46760 (base 13) in base 4?\nAnswer: -133122233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**3 + 15*c**2 - 27*c + 18. Calculate o(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 451 is divided by ((1260\/49)\/(-12))\/(4\/(-56))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 3, 5\/173, 5\/2, -12, 1, -57\/5, 0.05?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**3 - 2*s**2 - s + 2. Let c be b(2). Suppose -3*p - 4*k = -352, -2*p + k + c*k + 242 = 0. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -763\/15 - -51. Suppose 22 = 5*l - 28*m + 27*m, -4*m = 4*l - 32. Which is the third biggest value?  (a) 1\/4  (b) f  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 76490446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1272.01 - 1243. Let v = -29 + z. Which is the nearest to 1\/3?  (a) v  (b) -4  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2, 0, 8, -22, 5 in decreasing order.\nAnswer: 8, 5, 0, -1, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4365*l - 4370*l + 2*t + 21, 6 = -2*t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 230082 and 136586.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00343157 rounded to four dps?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4\/15 or 4695.3?\nAnswer: 4695.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -5*h**4 + 15*h**3 + 5765*h**2 - 5775*h = 0.\nAnswer: -33, 0, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 73 + -509\/7. Let l = -7171\/14 + 512. Let h = -121 + 120.7. Which is the closest to 0?  (a) l  (b) h  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -40046, -80235, -120424, -160613?\nAnswer: -200802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1313b7 (base 13) to base 10.\nAnswer: 459830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (48 - 66) + 11 + 0\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6228156330 + 6228156275.99999946. Let d = g - -54. Round d to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1438 + -1410. Solve -y = 5*o - a, -36*o = -2*y - 33*o - 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p - 3*p - 3 + 8. Let t(h) = 1. Let w = 85 + -84. What is w*d(m) - 4*t(m)?\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-38) - (-4085109)\/(-48678).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (-4 - -3) - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the third derivative of -b**5\/60 - b**3\/3 - b**2. Let s(w) be the first derivative of q(w). Let d(i) = -37575 + 37575 - 7*i**2. Determine s(d(v)).\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 842 is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 148991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3213 - -1203. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*u**2 - 4*u + 13*u - 6*u + 25*u**2 to the form w + t*u + p*u**2 and give p.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -23e + -4?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(3\/4)*z\/((z\/(z**(2\/7)\/z))\/z))\/((z*z*z*z**(3\/5))\/z**(-3))*(z**3\/(z*z**1*z))\/((z\/z**(-6))\/z*z**(-3)) assuming z is positive.\nAnswer: z**(-1199\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 1 + 0 + 0 + 87*c**3 + 3.\nAnswer: 87*c**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1404 - 4264\/3. Is -16 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**4 - w**2 + 3. Let p(u) = -10*u**4 - u**3 - 2*u**2 + 1240*u + 7. Let r(f) = p(f) - 2*s(f). Find the second derivative of r(g) wrt g.\nAnswer: -96*g**2 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) 2\/7  (b) 3  (c) 3\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -71\/10007268 and -47\/2874.\nAnswer: 10007268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-38)\/48 + (-2)\/(-3). Let k = 31 - 29. Suppose -a = -m, -a - 4*m = k*a. Is a at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/(-1 + -3)*(61 - 2). Let b = h - 29. Calculate the highest common factor of 15 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the first derivative of 1\/8*w**2 - 2 + 1\/16*w**4 - 1\/8*w**3 + w - 1\/80*w**5. Let d(f) be the first derivative of a(f). Solve d(v) = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -503.15500793 from 490.\nAnswer: 993.15500793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h + 3*m - 279, -3*m + 225 = 4*h - 0*m. Suppose -a + 100 = 3*v - h, -1 = -a. Suppose -v = 5*s - 686. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(33)\/(sqrt(11) + sqrt(396)) - (3*(sqrt(3) - (3 + sqrt(3))))**2).\nAnswer: -81 + sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxjxxxxjjxxjxjxxx. Give prob of sequence jjj.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(171)\/(sqrt(99)\/(sqrt(11)*3) + sqrt(9)) - sqrt(38)\/(sqrt(50)*-3).\nAnswer: 49*sqrt(19)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1263931 is divided by 213.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**3 + 11*y**2 + 14*y - 8. Let g be j(-12). Round g to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2047, -18\/59, 4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 0*n = -32. Let c = 5 + n. Let b = 32 - c. What is the highest common divisor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a - t = 6, 0 = -4*a + 5*t - 99 + 118 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5.4 - 39.4. Let r = 49 + -10. Let n = r + l. Which is the closest to 0.1?  (a) n  (b) -2  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10927 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13.5 + -25.9. Let s = -12 - m. Let h = -2 - -1.5. Which is the closest to -2?  (a) s  (b) h  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3866776, 4, 2?\nAnswer: 3866776","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 - 1.2. Let h = p - 0.8. Let f = h - -0.5. What is the second biggest value in 0, f, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**2 - 13*u - 12. Let l = 44 + -30. Let p be x(l). Put p, -2, -5 in ascending order.\nAnswer: -5, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 113\/5 - 656\/35. Let n = -3\/83 + -2709\/830. What is the common denominator of n and v?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(1100)*-2.\nAnswer: -20*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1125299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -8c0 (base 14) to base 11\nAnswer: -1339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a**2 + 6*a - 1. Calculate d(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -309 (base 12) to base 10.\nAnswer: -441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2024.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes after 6:55 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**3 + 6*w**2 - 3*w - 4. Suppose -4*k - 2*m - 2*m = 0, -3*m - 10 = k. Let l be i(k). What is the lowest common multiple of 6 and 30\/(-2)*l\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33359.\nAnswer: 33359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 53 + -58 + -17 - 8.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-105)\/(-49))\/(-90*7\/(-7938))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.033 and -75822?\nAnswer: 2502.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.33 - 0.03. Let d = -181 + 181. Suppose 2*t - 28 = -4*w, 3*t + 5*w + 9 - 53 = d. What is the smallest value in -1, q, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbi when three letters picked without replacement from {i: 3, u: 1, q: 1, b: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 2*o - 7. Let m be v(5). Suppose -m*q + 84 = -q. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*h - 7*h + 75 = 0. Suppose -11*f + 370 = -6*f. Let z = h + f. What is the remainder when z is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55\/4 of a century in months?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eeue when four letters picked without replacement from iieeeuie?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of i**2*x**2 - i**2*x + 4886*i**2 - 39*i*x**2 + 2*i*x - i wrt i.\nAnswer: 2*x**2 - 2*x + 9772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1812231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 - -1203?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6533735 divided by 1306747.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes after 11:50 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/9, -0.4, -3, 2, 3126 in increasing order.\nAnswer: -3, -0.4, 1\/9, 2, 3126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 + 4. Let u(r) be the third derivative of r**6\/120 - r**4\/6 - r**3\/2 - r**2. Calculate u(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19172 - 33*j**2 - 19172 to c*j + y*j**2 + z and give y.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.01823 and -0.02?\nAnswer: 0.00177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 2 l when three letters picked without replacement from {s: 1, i: 3, l: 4}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -449 = -7*p - 5475. Let r = 1011 + p. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -825 + 1197. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -57 divided by -2?\nAnswer: 57\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes after 8:48 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times 24.57?\nAnswer: 24.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 4*j + 3*c = 6, 2*j = 3*c + 3. Let h = j - -1. Find a, given that h*a - 5*a**2 + 11*a**2 - 4 + 4 = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**2 + 3*h - 4. Let m(n) = -2*n**2 - 7*n + 8. Let o = -6466 - -6461. Calculate o*i(a) - 2*m(a).\nAnswer: -a**2 - a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -133\/6 and 17\/15243.\nAnswer: 30486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 1 + 1)*(-1 - 3 + 3)*(-2*v**2 + 0*v**2 + 0*v**2)*(-5*v - 2 + 2) to m + w*v**2 + a*v**3 + t*v and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000571 to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 34040, 2, 4.\nAnswer: 2, 3, 4, 34040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 1101 = -o + a, 2*a - 2775 = -5*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -10*(140\/(-25))\/7. Let m = y + -11. Which is greater: -11\/5 or m?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and 232450.9.\nAnswer: 69735.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2162406 is divided by 816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -251*i**3 - 2*i - 1. Let r be n(-1). Suppose -w + 221 = 3*z, 8*z = 1601*w - 1606*w + 1175. Which is smaller: r or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7.67 - 0.33. Let u = w + 7.945. Let p = u + 0.05499963. What is p rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes before 10:39 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 13015350 (base 6) to base 10\nAnswer: 422418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 87*f**2 - 28*f + 120. Is u(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -210001122 + 0?\nAnswer: -210001122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and -1286.\nAnswer: 5144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/2*(-2694)\/9429?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -900b7 + -3?\nAnswer: -900ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of r*z**4 + 2*r*z - 18*r + 15*z**4 - 38*z**3 - z**2 - 6 wrt z?\nAnswer: 24*r*z + 360*z - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 797235 is divided by 215?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11976, -11977, -11988, -12015, -12064, -12141?\nAnswer: -12252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3615 + -3610.998. Let s = -14 - -10. Let x = n + s. What is x rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(80))**2 + 2.\nAnswer: -16*sqrt(5) + 86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -123\/8 - -61\/4. Let k = 50077\/88 - 569. Let y = f - k. Which is the biggest value?  (a) 2\/13  (b) 1\/8  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15422 + -15415. Solve 0 = -d - 3*l - 2, 15*l - 10*l + i = 2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**2 + 5*m + 2. Give h(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y + 16 = -4*a - 4, a + 5 = -5*y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*s + 0*s + 4*s)*(3 - 3 + 1)*(-9*s + 0*s - 50*s) to w*s + q + m*s**2 and give m.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*d - 2*d + 4 - 8.\nAnswer: 3*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**2 - 7*q - 5. Let l = 15 - 22. Let z be t(l). Sort z, -9, -4 in descending order.\nAnswer: -4, z, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1524, 3157, 4820, 6513, 8236?\n\"Answer: 15*f**2 + 1588*f - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 385871088 to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eje when three letters picked without replacement from zczezeneccjchez?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -115, -40 in ascending order.\nAnswer: -115, -40, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -13 - -25. Calculate the lowest common multiple of p and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 10 = -10*i. Solve 4*y = i*y + 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pfzfffpfbbpffpfp. What is prob of picking 2 p?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4 - -1)\/((-105)\/10). Let j = -0.2 - -0.19. Which is the third biggest value?  (a) 0.5  (b) j  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**2 + 52*v - 279. Let s be k(5). Determine a, given that 27\/4*a + s + 3\/4*a**2 = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 2*i**2 + 2*i - 1. What is h(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1186.70146 rounded to one dp?\nAnswer: -1186.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**2 - 10*q + 5. Let a be c(-12). Let h = 24 + a. What is the biggest value in -0.4, 0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5719565 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.88 and -26.\nAnswer: 22.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -486063, -972124, -1458185, -1944246, -2430307, -2916368?\nAnswer: -3402429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1312*h - 3207*h - 471*h - 903*h.\nAnswer: -5893*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 4724205601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 185896330.\nAnswer: 2, 5, 3041, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 512 = -19*r + 3932. Which is smaller: r or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -3*g + 4. Let c(f) = f - 2. Let s(i) = -9*c(i) - 4*u(i). Let l = 14 + -9. Suppose 0 = l*z - 0*a - 2*a - 8, -5*a + 13 = 4*z. What is s(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 < -5262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 766163?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -221*l**2 + 108 + 429*l**2 - 206*l**2 - 2*l as p*l**2 + r + m*l and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*n**2 - 4*n**2 + 6*n**2 + (-4 + 2*n + 4)*(0 + 0 + 2*n)*(0 + 1 + 0) + 134*n - 134*n + 525*n**2.\nAnswer: 531*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 12*u - 9. Let f be k(-11). Let t be 0 + (1 + f)\/2. Let m = 127 + t. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (i + i + 0*i)*(-39 + 8 - 1) + i + 2*i + 3 - i in the form j + h*i and give h.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 10\/((-43)\/9632*-80)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 177416, 177406, 177392, 177374, 177352, 177326, 177296?\nAnswer: 177262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 8*c - 9. Let d(l) = -7*l + 9. What is 6*d(n) + 5*i(n)?\nAnswer: -2*n + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 596850826?\nAnswer: 2, 11, 13, 1289, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, d: 2, c: 2}. Give prob of picking 2 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 2*q = 29422, 3*x = -2*q - q + 22074. Let n = x - 2375022\/323. Let m = -1971\/3553 - n. Is -1 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -o**2*r*x**2 + 2*o**2*x - 104*r*x**2 + 33*x**2 wrt r?\nAnswer: -o**2*x**2 - 104*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -627 + 415. Let s be h\/(-6) - 2\/(-3). Let f = -17 - -29. Calculate the greatest common divisor of s and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -81 + 109 + (-2965)\/105.\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/7  (b) 2  (c) -0.5  (d) -0.05  (e) -1.837\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ooooquoomuqoooouu. Give prob of sequence um.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 350 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = u + 27, 5 = -13*u + 11*u + y. Sort -10, -1, 4, u, -2 in decreasing order.\nAnswer: 4, u, -1, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -314551564 + 3?\nAnswer: -314551561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2448*t**6 + 97*t**4 - 2*t**3 + 5343*t**2 - 19*t + 9 wrt t.\nAnswer: -293760*t**3 + 2328*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-5)\/1*9\/((-45)\/2). Let c be (-3 + 6\/8*j)*2. Let l be (1 - (-2 + 2)) + -2. Put c, l, 2 in increasing order.\nAnswer: c, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:21 PM and 2:04 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k = 3*w - 193716, -k - 74*w = -72*w - 32289. What is the thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1145 divide 7308517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sum -698912.3172 and -66.37.\nAnswer: -698978.6872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = 9*v + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d\/(d**1\/d))**(-2\/47)\/(d*d**(-2\/5)\/d*d*d**5)*(d**(1\/2))**(-22\/7)\/((d*d**(-5))\/d*d**(-6)) assuming d is positive.\nAnswer: d**(6158\/1645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 + 0. Let j = n - -5. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -n - 0. Suppose 4*g - 2 - n = 0. Calculate the smallest common multiple of 32 and g.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 422258 is divided by 1268?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*o - 3 + 3 + (1 - 4 + 2)*(-o - o + 0*o) - 832*o - 6061928 - 5417*o + 6061928 in the form i + j*o and give j.\nAnswer: -6245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 33070?\nAnswer: 99210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/1674 and -1\/7.\nAnswer: 11718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.2 - 0.2. Let b = j - -2. Let f = -1.999948 + b. What is f rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from {r: 1, f: 1, g: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62 = b + 3*b + b - 51*i, 4*i = 5*b - 32 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**3\/11 - 183668836*t**2\/11 + 4216780164699362*t\/11.\nAnswer: 2*t*(t - 45917209)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 198 and 19096.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 55976*g**2 - 2331*g**4 - 111956*g**2 + 55979*g**2 + (-5*g**2 + 5*g**2 - g**4)*(-2 + 2 - 1).\nAnswer: -2330*g**4 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-5 + 3)*-1 - 0. Solve 0 = x + m*x + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.8 + 0.86. Let m = 0.17 + 0.19. Let i = a - m. Do i and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 125*x**3 - 11185*x - 8479*x**2 + 8479*x**2 - 123*x**3.\nAnswer: 2*x**3 - 11185*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4923 is divided by 190.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 18\/(-24) - 1*30\/(-8). Find the third derivative of 3*i**3 + 232*i**2 - 3*i**k + 0*i**3 - 134*i**4 wrt i.\nAnswer: -3216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 2*i**3 + 18*i**2 - 390*i - 2559. What is r(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wiqiizqgwzzwiwqzixxq. What is prob of picking 1 q and 3 i?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 15.05 - 0.05. Let j = s - 10. Which is the third biggest value?  (a) -2\/11  (b) 4  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4556 and -0.2.\nAnswer: -911.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2253 smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 399*t + 11196 + 7956 for t.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the second derivative of 133*o**4\/12 - 48*o. Let b(t) = t. What is x(b(g))?\nAnswer: 133*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -4076*q + 6. Let t(r) = 21492689*r - 31637. Let n(f) = -6*t(f) - 31637*w(f). Let g(v) = -3*v**2. Determine g(n(m)).\nAnswer: -41559852*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 851597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 8*d**2. Let t be (175\/63 - 2\/(-9)) + 43. Let l(g) = -63 + 18*g + 63 - t*g. What is z(l(w))?\nAnswer: 6272*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13632 - -13136. Is -500 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 20\/64377 and -89\/138.\nAnswer: 128754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 65 + 20. Suppose -f = -6*f - s. Let p be -3 + 1 - -3 - f. Calculate the greatest common factor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/9 - (-2)\/6. Suppose -5*h = -25, -5*k + 5*h + 1 + 4 = p. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7.6 + 4.3. Let l = 47.7 - r. Let w = 47 - l. What is the second biggest value in w, 5, 0.5, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence www when three letters picked without replacement from {f: 3, w: 3, j: 1, n: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 56\/5 - 1\/5*a**2 - 1\/5*a.\nAnswer: -(a - 7)*(a + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 14 = 2*g, -184*o + 37 = 4*g - 183*o. Suppose -3*t - 10 = -8*t. Let f be (t - 7) + 0\/(-2). Put f, -2, g in increasing order.\nAnswer: f, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -10 - -15. Let g(l) = 6*l**3 + 2*l - 6. Let o(q) = q**3 - 1. Suppose 0*m + 5*m = k - 4, -3 = 5*k - 2*m. Determine k*g(n) + x*o(n).\nAnswer: -n**3 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000197425 to five decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1642300 rounded to the nearest ten thousand?\nAnswer: -1640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 114 and 91029?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 631013184 a multiple of 496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 838966?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (5\/36)\/(4\/(-12)). Let h = o - -1\/12. What is the second smallest value in -3, -0.5, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 divided by 11.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (19\/4)\/(5\/8) and -28\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(1\/4))**(3\/23)*((y\/y**(-5))\/y)\/y**(-1\/6) assuming y is positive.\nAnswer: y**(1435\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -5*a - 9. Let c be w(5). What is the least common multiple of (-46)\/(-8) + -4 + c\/(-8) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the first derivative of -2*i + 3*i + 11 - 5. Let w(h) = -3*h - 3. Give 3*j(c) + w(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2929102516.\nAnswer: 2, 17, 67, 73, 8807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 297*c**3 + 34*c**2 - 284*c - 317. Calculate i(-1).\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, 4, -61, -3\/5, 1\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is (-15 - -17) + 1*417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w**(2\/13)\/w))\/w**(8\/7))\/(((w*w**19\/w)\/w)\/((w\/(w*w\/(((w\/(w\/(w**(3\/2)\/w)))\/w)\/w*w)))\/w)) assuming w is positive.\nAnswer: w**(-3603\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the second derivative of -82*j - 6*j**2 + 0 - 1\/16*j**4 - 5\/4*j**3. Solve m(a) = 0 for a.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*f = -29*f + 40 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -2*m. Let s(z) = -94 + 94 + z. Determine -6*r(c) - 7*s(c).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 1.602351 months?\nAnswer: 0.0013352925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -184*b + 185*b, 0 = -3*b - 12. Let p(o) = -o**3 + 2*o**2 + 9*o - 3. What is p(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*d + 3*d + 5*c + 29, d - 11 = 2*c. Let t = 17 + -12. What is the third derivative of 0*m**t - 2*m**5 - m**2 + d*m**2 wrt m?\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -17*j + 11. Let u(g) = -8*g + 5. Suppose -2*b - 3*o - 9 = 0, 5*o + 7 + 8 = 0. Let h be 4*(b - (-9)\/(-6)). What is h*c(i) + 13*u(i)?\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 165794\/29 >= 5718?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1, 1, 43, 439293 in descending order.\nAnswer: 439293, 43, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -3  (b) 21  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 3*k - 5*l, -5*k - 25 = 2*l + 3*l. Suppose -2*u + 110 - 36 = k. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v - 59. Give z(18).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -6*y - 278. Give b(38).\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange j + 2 - j**2 - j + (1 + j - 1)*(-81*j + 60*j - 66*j) + 2*j**2 - 2*j**2 - 2*j**2 to the form m*j**2 + a + d*j and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6260 and 90211295?\nAnswer: 1565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = -4*d + 68. Let w = -22 + d. Suppose -w*u + 673 = 2*m, u - 993 = -3*m - u. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*w - 27*w - 27*w - 77*w in the form t + j*w and give j.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.01915 and 120?\nAnswer: 120.01915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 + 5 - 1)*(-40*k + 20*k + 77*k)*(-4*k + 4*k - 3*k**3).\nAnswer: 1026*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2025855 is divided by 1283.\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -957.3135934 rounded to the nearest 10?\nAnswer: -960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 336*u**2 - 10*u - 9. Let i(n) = -83*n**2 + 3*n + 2. What is 9*i(h) + 2*z(h)?\nAnswer: -75*h**2 + 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -1369*n**4 + 1385*n**4 + 2*n + 0*n**3 + 3*n**2 + 2*n**3 as t*n + u + p*n**2 + q*n**3 + b*n**4 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in thirty-three fifths of a second?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 - 226c07?\nAnswer: -226c07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 76 and 22?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -22 - (-14 - -18 - 10).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -14174 - 0.0748.\nAnswer: -14174.0748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -289.04, -2, 5?\nAnswer: -289.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 54 = -0*o. What is the common denominator of o\/(-135) - (-774)\/40 and 358\/24 - 2 - 2\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(2\/3)\/i)**(3\/22)*i\/i**(-3\/8)*i\/(i\/(((i**(-2)*i)\/i*i)\/i)))**(3\/13) assuming i is positive.\nAnswer: i**(-177\/1144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 192*u - 7198 - 379*u + 611 + 189*u to w + p*u and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 49681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*u + 18 = -u. Let 1\/3 - b**2 - 2\/3*b**u + 0*b = 0. What is b?\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -53.82 rounded to the nearest integer?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20395, -19989, -19583, -19177, -18771, -18365?\nAnswer: -17959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 - 0. Let d = 0.24 + 0.06. Let v = 0.2 + -0.4. What is the second biggest value in v, b, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 29669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is z in -28*z**3 - 8*z**2 + 112*z + 32 = 0?\nAnswer: -2, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 686586.42ns in hours?\nAnswer: 0.00000019071845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 80609942 - 3?\nAnswer: 8060993c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 2*v**3 - 66*v**2 + 100*v + 351. What is a(31)?\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 207 - (1 - (15 + -6)). Suppose -434 = m*c - 216*c. List the prime factors of c.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 - 1)*(z - z + 2*z**2) + ((2*z - 2*z - 2*z)*(2*z + 1 - 1) - 2*z**2 - 2 + 2)*(5 + 20 + 2).\nAnswer: -166*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2 - -1) + 138 + 2. Calculate the common denominator of 93\/2 and 0 + x\/(-6) + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 2*r**2 - 44*r + 143. What is the remainder when j(28) is divided by 80?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 4*y = 0, -20 = y - 21. Let d = -3 - -2.5. What is the closest to t in d, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2372172065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1008 and 12?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -3*1*(28\/(-120))\/7?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 43858632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 10000 (base 2) to base 9\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*m + 2*t + 28, -4*m + 16*t - 5127201 = -5127245 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 786274 is divided by 6190?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 5, f: 2, m: 3}. Give prob of picking 2 p.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9 - 6. Let m be 12\/y*2\/4. Suppose -4 = -m*u + 4*f, -5*u + 22 = f - 21. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*a**2 + 0*a - 4*a**2 + 2 + a)*(1053*a**2 + a - 740*a**2 - 505*a**2) to the form p + t*a**4 + w*a**2 + y*a**3 + l*a and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7*2\/(-56))\/(1\/(-1)*1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes before 3:23 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 182288789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 (base 9) in base 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12.9794127 - -12.981. Round z to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 187689 and 3072.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2075*o**2 - 6121*o**2 + 2028*o**2 + 2028*o**2 + 5*o**3.\nAnswer: 5*o**3 + 10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**2 - 6*k + 1715. Determine x(35).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 800923 is divided by 47078?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*k**4\/5 + 415*k**3 - 7733*k**2\/5 + 4117*k\/5 + 309 = 0. What is k?\nAnswer: -1\/4, 1, 3, 515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4430 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(119)\/sqrt(343) - (3 + -1*sqrt(17) + sqrt(17))) + ((sqrt(17) - sqrt(306)\/sqrt(2)) + -1)*-2)**2.\nAnswer: -58*sqrt(17)\/7 + 14346\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 143926780*g - 35 + 37 - 143926789*g.\nAnswer: -9*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that 3*z**3 - 6*z**2 - 24*z = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 76*f - 3 - 84*f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1936 and -18.2889?\nAnswer: -35407.3104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -2*k**2 - 72*k + 4953. Give d(35).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j + 10 = -2*w, -j + 4*j - 2*w = 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -4*i**3 + 6*i**2 + 8*i + 2. Determine b(5).\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 21972164587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 7 - 12293?\nAnswer: -12287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z*z*z**0)\/(z\/(z**(-7)\/z*z))*(z\/(z**19*z))\/z**23 assuming z is positive.\nAnswer: z**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 35223893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:22 PM and 10:28 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in k**2 + 329 - 157 - 172.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00002343 rounded to 6 dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 40192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.040617 and -0.2852?\nAnswer: 0.244583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16538?\nAnswer: 2, 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 10*p**3 - 2*p**2 + 2*p - 24. Let w be s(3). What is the highest common factor of 104 and w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1*-1)\/(11\/(264\/12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - 0) + 4 - (-7 - -42)\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the first derivative of a**2 + 174. Let o(y) = -y**2. What is o(c(k))?\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70*w - 6 = 67*w - 3*j, -w = -j - 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22167869.\nAnswer: 22167869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Divide 28833384 by 14416692.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) -2\/3  (c) 160.58  (d) 2\/13  (e) 2\/7  (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**2 - 2*h - 4. Let x be z(4). Suppose -w = -0*w + p + 4, -x*w + 4 = -p. Let g = -9 + 22. Solve w = 5*q - 12 - g for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 8334, 33312, 74932, 133194, 208098, 299644?\n\"Answer: 8321*l**2 + 15*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6103*k - 8918 wrt k.\nAnswer: 6103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.0526 + -0.0526. Is 94 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 2*n**3 + 84*n**2 - 75*n + 476. What is x(-43)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*h = -4*f + 25*h + 26, 28 = 2*f + 4*h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/((r*r**(-3)*r)\/r))**(-2\/89)*r**(-1\/25)*(r**(4\/9)*r*r)\/r assuming r is positive.\nAnswer: r**(26774\/20025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -584 + 202. Let s = w - -443. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 99848 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s + p - 187 - 116, s + 2*p = 159. Let c = s + -451\/3. What is the closest to 0 in -3\/5, c, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from neh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4.259 - 0.259. Which is the fourth biggest value?  (a) -3\/5  (b) t  (c) 0.03  (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2\/3, 2, 0.5 in ascending order.\nAnswer: -5, -2\/3, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (71\/(52824\/1302))\/(10\/(-2)*2\/5)?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/60 of a hour in seconds?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the second derivative of -y**7\/6720 - y**6\/1152 - y**5\/480 + y**4\/12 - 2*y. Let p(l) be the third derivative of u(l). Suppose p(q) = 0. What is q?\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 70 and 27580.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -140445 minus 61?\nAnswer: -140506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 8430000 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 5542, 5538, 5528, 5512?\n\"Answer: -3*t**2 + 5*t + 5540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**3 - 53*x**2 - 117*x + 380. What is h(55)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 9*d**2 + 5*d - 5. Suppose 314*j - 295*j = 38. Determine h(j).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -108, -127, -156, -201, -268, -363?\n\"Answer: -l**3 + l**2 - 15*l - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*s**3 - 3*s**3 + 4*s**3 - 5*s**3 + 17*s**3 + 6*s**3 + 4*s**3 - 2*s**3 - s**3 + (s + s**2 - s)*(1 - 1 + 2*s) to p*s + h + d*s**3 + j*s**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -8 - -18 - (-32 - -17)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 928.362 hours?\nAnswer: 3342103.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*p**4 - 8*p**3 - 370735*p**2 + 389562909*p.\nAnswer: 84*p**2 - 48*p - 741470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 69*l - 31*l. Determine j so that 3\/4*j**4 + 0 + 1\/4*j**5 + 1\/4*j**2 + l*j + 3\/4*j**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 173 - 2*b - 172 - 4*b.\nAnswer: -6*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 2*l + 3*l = -58, 4*l = 5*o - 145. Let k(v) = -30*v**2 + 3*v + 23*v**2 - 5 + o*v**2. Is k(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -216*f. Let i(o) = 2*o**2. What is p(i(m))?\nAnswer: -432*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**2 - 6*p - 5. Let b be g(6). Let v(t) = 2*t**2 + 5*t + 2. Let y be v(b). Calculate the highest common factor of 18 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -167 - -157. Are -12 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 342726.\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(432) - -2*(-2 + sqrt(432) - sqrt(432))) + (4*(sqrt(432) + sqrt(432) + sqrt(432) + sqrt(432) + 3) - sqrt(432)))*1)**2.\nAnswer: 3072*sqrt(3) + 110656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1476 + 1296*f**2 - 625*f**2 - 673*f**2 + 486*f = 0 for f.\nAnswer: -3, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*l**2 - 25*l**2 - 26*l**2 + 75*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((0 + 3)\/(-21))\/((-6)\/7).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 10 + 3313?\nAnswer: 3323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -5*a + 10. Suppose 4*d = -5*y - 12, d - 2*d - 3*y - 3 = 0. Let v be o(d). What is the greatest common factor of 10 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -917*a + 1868. Let s be i(2). Solve 28 = -20*w + s*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -157.1 - -148. Let t = 9.09836 + c. What is t rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3133\/482 + (-6)\/4. Calculate the greatest common divisor of 59 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16088?\nAnswer: 2, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -17 - 62453993?\nAnswer: -62454010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 65 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.395190491277 and -18.\nAnswer: -17.604809508723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 858 and 858?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j = 2*i + 40, 1336*j + 13 = 1337*j - 2*i for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 33467, 33472, 33477, 33482, 33487, 33492?\nAnswer: 33497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -152 - -154. Suppose 4*j + 75 = -3*b + 660, -z*b + 6 = 0. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k*k\/k**21*k*k*k**(-5\/2)*(k**(-1\/8))**15 assuming k is positive.\nAnswer: k**(-171\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c + 1 - 1)*(-5*c - 2*c + 6*c)*(c + 0*c + c) - c**3 + 3*c**3 - 10*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 52841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 548995644?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/13, -5, 87 in ascending order.\nAnswer: -5, -3\/13, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 422920 and 776?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 14\/4*(-5 + 156\/42). Suppose 4*r = -c - 16, 0 = -5*c + 2*c. Is z > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + (17 - 8) + 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/(-15)*9880\/312.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 727*z**2 - 701*z**2 - 3 + 0 + 3.\nAnswer: 26*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2053756 is divided by 107?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + p = 12, -2*k - 2*p - 40 = 2*k. Let o(h) = -h**2 - 9*h - 3. Let a be o(k). Let t = 7 + -4. Sort t, a, 1 in ascending order.\nAnswer: 1, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/((d\/(d*d**(-1\/2)))\/d*d))**41\/(d**12\/(d**(-6\/11)\/d)) assuming d is positive.\nAnswer: d**(153\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1633 = -3199*h - 6224 - 1807 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w = -5*r - 2, 2*w = -5*r + 6 - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1254*b + 654784 = 2*q + 1256*b, q - b - 327406 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 213506 is divided by 8532.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -2*h**3 - 674*h**2 + 624*h - 17576. Calculate x(-338).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-2))**(-1\/23)\/(a**(-2\/3)\/a**(-1\/3)) assuming a is positive.\nAnswer: a**(29\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 34467 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kct when three letters picked without replacement from {w: 8, t: 2, r: 3, x: 1, c: 1, k: 1}?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -96.91 - -14.81. Let o = 88 + f. Let l = o + -6. Is -1\/6 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -44 or 5\/2?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tttqttqt. Give prob of picking 1 t and 2 q.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbbbqbzzbbbbzbb. What is prob of sequence bq?\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 376028298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7982 is divided by 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2\/25  (b) -9.2  (c) 1\/13  (d) 0.3  (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3, -5, 2, 148 in descending order.\nAnswer: 148, 3, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j - 6 - 0. Sort -0.1, j, -5.\nAnswer: -5, j, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1702 is divided by 282.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 193, 754, 1687, 2992, 4669, 6718?\n\"Answer: 186*l**2 + 3*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -31.2 - -27. Let t = -5 - -1. Let i = d - t. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -104*n - 1738 - 2674 + 982 = -34*n for n.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 3*p. Let i(q) = -110*q**2 - 99*q + 205. Give i(w(n)).\nAnswer: -990*n**2 - 297*n + 205","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -21217663466 - -12.\nAnswer: -21217663454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 35 + ((-2)\/(-1) - 0). Suppose -218 = 35*s - d*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - -2) + 0 + (-6 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7653?\nAnswer: 3, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -66759 greater than 118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r - 1 + 1)*(272 + 67 + 273).\nAnswer: 1224*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 5709, 11420, 17131, 22842?\n\"Answer: 5711*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1ca - 6a1?\nAnswer: -88b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001752569 rounded to 6 dps?\nAnswer: -0.000175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11366030 and 399230?\nAnswer: 4810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2414 = 7*o + 2379 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 8016*m + 17. Let k(i) = -2674*i - 6. What is 17*k(w) + 6*p(w)?\nAnswer: 2638*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q = -2*q - 12. Let r = -8 - -5. Let o = r - q. Solve -o*z = -2 + 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - -1. Suppose -a = -v*a. Suppose a = -2*z + 8. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10915*l**2 + 10915*l**2 - 610*l**3)*(0 + 11 + 2).\nAnswer: -7930*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(3))*-2 - ((sqrt(108) - (1 + sqrt(108)) - sqrt(3)) + sqrt(3))**2.\nAnswer: -2*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 2) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7693074 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1568 or -3591?\nAnswer: -1568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0*1\/2 + 0. Suppose i = z + 7 - 2, -2*p - 820 = -4*z. What is p rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y. Let q = 2 - -4. Let n(u) = q*u**2 - 2*u**2 - 3*u**2. Give n(s(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the first derivative of -3 + 0*f**2 - 3\/20*f**4 - 1\/15*f**3 - 1\/30*f**6 - 3\/25*f**5 + 0*f. Factor g(m).\nAnswer: -m**2*(m + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, u: 4, f: 5}. What is prob of picking 2 u?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -28 + 364647*r**2 + 7*r - 364644*r**2 + r**3 - 4*r + (r + 4*r - 6*r)*(-3*r**2 + 2*r**2 - r**2) + 0 + 0 + 3*r**3.\nAnswer: 6*r**3 + 3*r**2 + 3*r - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1375 - -1488. Is v a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 1561047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is c - -25ea?\nAnswer: 25f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the third derivative of p**6\/120 + p**5\/10 + 7*p**4\/24 + p**3 + p**2. Suppose -6 = 5*w - 41. Suppose 2*u - w*u = 25. Give n(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the third derivative of h**7\/2646 + h**6\/2520 - h**5\/1260 + h**4\/6 - h**3 - 73*h**2 - 2*h. Let b(f) be the second derivative of j(f). Factor b(n).\nAnswer: 2*(2*n + 1)*(5*n - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t - 21*a - 39 = -14*a, 3*t + 4*a = -14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5a90aa + -12?\nAnswer: 5a9098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 29.1 + -26.6. Let i = -2.1 + n. What is the nearest to -11\/2 in -0.4, i, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1816.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 324 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11486 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1734531.87 rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of (-3)\/9 - (-552)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 37840 by 44.\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(2\/5))**(-4\/29)\/(x\/(x**(-2\/9)*x))**(-18\/11) assuming x is positive.\nAnswer: x**(272\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -11*(-63)\/924*(-20)\/(-6)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13\/((-2184)\/180)*(-3)\/15.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n = 2*n + 20. Let a = 3 - 0. Let d(o) = -4 - o - a*o + o**2 - o - o. Give d(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zvzzzhvzpvop. Give prob of sequence vzh.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from jhjyjhjyhhjjyyy.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((39\/130)\/(6\/(-5)))\/((-21)\/(-84))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16721*j + 18 + 16750*j - 18.\nAnswer: 29*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/5?  (a) -742\/5  (b) -4\/7  (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 9*i + 3. Let m(d) = 13*d + 17. Let o(z) = -19*z - 24. Let k(t) = 7*m(t) + 5*o(t). Calculate -7*k(p) - 3*w(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 - -1 - ((-24)\/300)\/(11\/275). Determine f so that 1\/8*f**4 + 0 + 4*f**2 + 5\/4*f**j + 4*f = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the second derivative of 41\/6*r**3 - 40*r + 0*r**4 + 0*r**2 + 0*r**6 + 5\/21*r**7 + 0*r**5 + 0. What is the second derivative of k(h) wrt h?\nAnswer: 200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 50\/(-125)*(-9)\/(-6)*(-5)\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**2. Let o(g) = -9*g**2 + 2. Determine 6*a(m) - o(m).\nAnswer: 3*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b - 18. Let l be o(-10). Is -1 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*h + 8*u - 50, -4*h = -32*u + 28*u + 40 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 14 (base 6) to base 3\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**3 + 7*t**2 - 9*t. Suppose -3*f - n = -2*f + 12, 2*f - 5*n = 4. Is 8 a factor of o(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/98 and -32\/49.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 30663 and 1768233.\nAnswer: 5304699","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Round 0.00018504 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide (-62920)\/(-80) - 6\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(7) + (4 + sqrt(7) + -1 + sqrt(7))**2 + sqrt(7)) - (sqrt(28)\/(sqrt(4)*2) + -4).\nAnswer: -113*sqrt(7)\/2 - 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n - 30 = -4*h - 9, 0 = -n + 5*h - 19 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -107311, -107309, -107307, -107305, -107303, -107301?\nAnswer: -107299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o*o**1))**(11\/4)*(o**(2\/9)*o)**(-2\/27) assuming o is positive.\nAnswer: o**(-2761\/972)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u - u + 4 = 0. Suppose 2*p - 10 = u*p. What is the units digit of (p\/(-4))\/(2\/16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**3 - 11*a**2 + 51*a - 37. Is b(-25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 297511493?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3.14 and -9.\nAnswer: -28.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 192917365.\nAnswer: 5, 3499, 11027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 equal to 52749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x = 2*b + 2, 0 = 437*b - 435*b - x + 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a hour in minutes?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -54487 + 54487 - 9*y. Let z(u) = -u**3 + 6*u**2 + 7*u + 2. Let o be z(7). Let d(p) = 1 - 1 - 3*p**o + p**2. Give d(q(v)).\nAnswer: -162*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -246223*r**3 + 2*r**2 - 2105*r - 327 wrt r.\nAnswer: -1477338*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1273, 2544, 3815, 5086, 6357, 7628?\n\"Answer: 1271*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -33, -1, 0.5?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-370)\/(-45) - 480\/60.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 24604 and -0.01.\nAnswer: 24603.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(200)\/(sqrt(10) - sqrt(640)).\nAnswer: -2*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 76 a factor of 5308492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3184*y - 204*y = -29006 - 18426 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.16615 to 3 dps.\nAnswer: -0.166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 5 = 7*s. Let k = -17.1 - -19. Let f = -3.1 - k. What is the nearest to s in f, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**3\/6 + 65*u**2\/2 - 547*u\/3 - 1260.\nAnswer: -(u - 189)*(u - 10)*(u + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-99)\/36 - (-1 - 1). Are x and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 3*c**2 + 160*c - 650. Let s be h(4). Solve -s*o + 33*o = -10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-32*b + 0 + 0 - 6*b)*(-4*b + 4 - 4).\nAnswer: 152*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9 (base 12) to base 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 317.94 + -323. Let w = j - -0.06. Let t = 0.2 - -0.3. Put w, t, -2 in ascending order.\nAnswer: w, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 962800765 divided by -192560153?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 g when two letters picked without replacement from {l: 4, g: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -2*s**2\/3 + 6098*s\/3 + 4068 = 0.\nAnswer: -2, 3051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2035788 is divided by 18340.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a\/(a\/(a*a**(4\/11)))*a*a**(-11)\/a assuming a is positive.\nAnswer: a**(-106\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**(-21))\/((v\/(v*v*v\/((v*v**(-20))\/v))*v)\/v) assuming v is positive.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 not equal to 14\/379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 85563 and 960207.\nAnswer: 8641863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1125 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 3*f**3 + 22*f**2 + 22*f + 29. Let g(j) = j**3 + 7*j**2 + 7*j + 10. Let r(m) = -11*g(m) + 4*u(m). Let x be r(-10). Sort x, -2, 1.\nAnswer: x, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6 + -2. Let f be v*(-3 - 21\/(-6)). Suppose -75 = -r - f*r. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*t - 6*t + 3*c = -28, 0 = -3*t - c - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that -o**4\/3 - 56*o**3\/3 + 4*o**2\/3 + 224*o\/3 = 0.\nAnswer: -56, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -50, 22, 300, 886, 1882?\n\"Answer: 17*l**3 + l**2 - 50*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5\/10 + (-133797)\/(-6). Round r to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3730 - (-9 - -4)\/5. Suppose 4*f + 3*f = u. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 - 2. Let s = 25 + -23. Suppose -4 - s = -3*q. Solve -4 = q*u + g for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -2*m - 54, -2*i + 0*i + 3*m + 55 = 0. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3703*n**3 - 25*n + 1352*n**3 - 1620*n**3 + 16*n + 14*n.\nAnswer: 3435*n**3 + 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 238969111 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add together -7917275.94311783 and -0.4.\nAnswer: -7917276.34311783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -12 (base 7) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -6*g**2 - 22*g + 10. Let w(u) = -2*u**2 - 7*u - 1. Let v(b) = 2*b**2 + 7*b. Let j(h) = 4*v(h) + 3*w(h). Determine 7*j(t) + 2*k(t).\nAnswer: 2*t**2 + 5*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 44 and 24068.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -3*x**2 + 639*x - 1923. Determine k(3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 10 = -0*r, 3*c - 38 = -5*r. Solve -4*t - f - c = f, -4*t = 5*f + 22 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t + 22*i = 20, -5*i - 52 = -2*t - 74 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1188?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 6, b: 6}. What is prob of sequence bib?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 19 = -4*l, -c - 4*l - 7 = 6. Suppose -q - 2*q + 12 = -c*t, 0 = q + 2*t + 2. Solve -z - q*z**4 - z**2 + 3*z**4 + 5*z**3 - 4*z**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -614, -1047, -1488, -1943, -2418?\nAnswer: -2919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -1, 330, 2 in descending order.\nAnswer: 330, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -516063 (base 10) in base 3?\nAnswer: -222012220110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -m - 11, x + 0*m - m - 7 = 0. Suppose -3*v + 2*n + 20 = -20, -3*v + x*n + 32 = 0. What is the remainder when 95 is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1111 and 28381?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m - 7*m + 102. Let q be 6 - 2 - (-6 + 27). Let s = q + m. Solve -5*z + 5 + 5 = s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**3 - 4*x**2 + 4*x + 9. Determine v(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -46*s. Let h(j) = 9*j - 18*j + 8*j + 0*j. Determine x(h(u)).\nAnswer: 46*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -2\/3, -4, -0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 2 = -3*x. Let s be 1 - (-17*22 + x). Suppose s = 3*k - 5. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10719145 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 - 3. Suppose z*b = 3*b. What is the first derivative of -4 + w**2 + 3 + b wrt w?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -32624, -32604, -32550, -32444, -32268, -32004, -31634?\n\"Answer: 3*z**3 - z**2 + 2*z - 32628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2*(-6)\/28)\/(26\/91).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4542081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -434*h - 847*h + 8656 = -1592 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 62 - 10?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.1 - -0.9. Let j = w - -0.2. Let q = 2\/61 + 56\/2013. Do q and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16*z**3 - 44*z**2 - 20*z + 8.\nAnswer: -4*(z + 1)*(z + 2)*(4*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -31?  (a) 1  (b) -1\/3  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 + -4. Let o(b) = 11*b**2 + 4*b - 2. Is o(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 + -3 + (-74 - (-12 + -44))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1081.\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z + 35 = 5*q, 3*q + 2*z - z = 9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 111851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 33687\/389 or 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 52, -14, -0.3, 1\/27, 9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(80) - sqrt(720)\/sqrt(9).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 330 + -1?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the third derivative of -z**6\/120 - 7*z**5\/60 - z**4\/24 + 5*z**3\/6 - 2*z**2. Let k be n(-5). Let j = k - -67. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 113953700 to the nearest one million.\nAnswer: 114000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3425 is divided by 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 15 + -33. Let x(d) = -2*d - 2. Let m(i) = -8*i - 9. Determine s*x(f) + 4*m(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 11*n + 2*n**3 - 3*n**3 - 7*n**2 - 1591 + 1599. Suppose 2*m + 41 = -5*d, 4*d = m - 9 - 3. What is j(m)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*n - 35 = -11 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4752, -4984, -5212, -5436?\nAnswer: -5656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 89*u - 964. Determine k(5).\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 33912 * 2.2\nAnswer: 74606.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 6\/13, 1\/7, -522?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-329)\/(-49) + -6 + -1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/35)\/(16*27\/8640)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*2*(4*(4 + -1*sqrt(180)) + 4)**2.\nAnswer: -32800 + 9600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -1*(-23)\/(-14)*7*((-18)\/45)\/1\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.313 - 0.013. Let w be 2 + ((-15)\/(-6))\/(-1) + 1. Put w, s, -3\/13, 3 in descending order.\nAnswer: 3, w, s, -3\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v\/v**(1\/12))*v)\/(v*v\/(((v*v**(-5\/7)*v)\/v)\/v)))\/(v**16\/(((v\/(v\/(v**(-1\/9)\/v)*v))\/v)\/v)) assuming v is positive.\nAnswer: v**(-5479\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11551.\nAnswer: 11551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 0*p - 12 = 0. Let r be 3\/p - (-51)\/(-1). Is (r - 1)\/(-1*1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 2\/7, 12\/23, -19\/14 in ascending order.\nAnswer: -5, -19\/14, 2\/7, 12\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 divided by 9571.\nAnswer: -9\/9571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 5*j**2 + 4*j + 5. Let f be -2 + 1 + 3*15\/9. Let y(t) = -t**2 + t + 1. Let u(l) = f*y(l) + v(l). Give u(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -198*s + 181. Let l be c(13). Round l to the nearest 100.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 19  (b) -0.4  (c) 3  (d) 1\/8  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -9, -3.5, 2.\nAnswer: -9, -3.5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 154758625?\nAnswer: 5, 7, 137, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 2 z, and 1 w when four letters picked without replacement from zuzcucuwtcluwuc?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -12830 (base 16) in base 10?\nAnswer: -75824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(6)\/sqrt(2))**2 + sqrt(108) + -1.\nAnswer: 6*sqrt(3) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 255988205 to the nearest integer?\nAnswer: 16000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (-5 - (-16)\/4)*-2 and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -52, 4, -2, 3, 5, 89, 1 in decreasing order.\nAnswer: 89, 5, 4, 3, 1, -2, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -9*s - 7. Let m(u) = -5*u - 4. Determine 3*b(r) - 5*m(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in five eighths of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1 + (-3 - -2)*0. Let a be (2\/4)\/(-1) + c. What is the third smallest value in 1\/4, a, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*((2 - -1) + 2090\/(-690)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4863852 and 56448.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 1330 = 3*t - 1357, 0 = -3*t - 4*x + 2663. Calculate the greatest common factor of 1007 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -31*a**2. Let q be -2 - (-6 + 4 + -21). Suppose 0 = -2*s - s + q. Let j(m) = 6*m + 4*m - s*m - m. Calculate j(o(v)).\nAnswer: -62*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -15.931 + -0.709. Let a = s + 17. What is a rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 66 and 8502549?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*r, 0 = c + 4*r + 5 - 22. Let b be 4\/(-12) + 1 - -5. Let w = 83\/15 - b. Do c and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -18 - -11. Let n(h) be the third derivative of h**4\/24 + 5*h**3\/6 - 33*h**2 + 1. Calculate n(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -2*o**3 + o**2 - 9*o + 14. Determine y(4).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2 + (-4 - -2) - -17. Suppose 2*c - c - m = 0. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2093 and 13754.\nAnswer: 96278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**1*u*u\/(u**(2\/9)*u))\/((u**(-10)*u)\/(u**(-3)\/u)) assuming u is positive.\nAnswer: u**(70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2875030 a multiple of 820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 - -16. Suppose -5 = 3*w - 17. Solve 4*g = w*r - n - 17, 20 = -5*g + r for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -9*n**2 - 7*n + 7. Let m(s) = -4*s**2 - 3*s + 3. Let v(b) = -14*m(b) + 6*u(b). Let x be v(-1). Solve -2*j = x - 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 190*i - 151. Is w(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -105*g**3 - 24*g - 17*g**2 + 20*g**2 - 11*g**3 + 24*g to the form m + p*g**2 + q*g**3 + h*g and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 57*u**2 + 29062. Let d(g) = g. Determine d(j(v)).\nAnswer: 57*v**2 + 29062","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 909672617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -5*s**2 - s. Let f = 16 - 6. Suppose 4*h = f - 2. Let a be (-6)\/18*(-24)\/h. Let y(l) = -6*l**2 - l. What is a*x(j) - 3*y(j)?\nAnswer: -2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 5*v + 2. Suppose 0 = 5*i - o - 200, -190 = -5*i - 0*o + v*o. Suppose i = 5*q + 11. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xb when two letters picked without replacement from {d: 1, q: 3, n: 7, x: 1, b: 1}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 324*x + 705*x + 35*x + 29*x to j*x + o and give j.\nAnswer: 1093","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -243172 minus -0.2?\nAnswer: -243171.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -16 + 4. Suppose y - 20 = -4*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 2 - 2 + 44*q + 0 - 5659*q. Let k(d) = -3*d. What is i(k(n))?\nAnswer: 16845*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/6*(20 - 23)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.4 and -6681914870.72.\nAnswer: -6681914870.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-2\/17))**(-24)\/(x**(-8))**(-1\/8) assuming x is positive.\nAnswer: x**(31\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 11 + 59*w + 4 - 1 + 23*w**2 - 26*w**2 - 11 as y*w**2 + z + p*w and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 283 - 970 = 0. Let c = 1151 - q. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 699, 681, 655, 615, 555?\nAnswer: 469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -14345 (base 6) to base 12\nAnswer: -13b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide (-2)\/(((-10)\/15)\/(236\/6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w + 2*y + 4059 = 4124, -5*y - 26 = -2*w for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 877264 and 21?\nAnswer: 18422544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 414144 is divided by 2836.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 2*d = d + 178, 2*a - 75 = 5*d. Let t = -54 - -15. Let l = a - t. Round l to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -113690 to the nearest one thousand.\nAnswer: -114000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11401 + 48 + 1337 = -304*f + 1840 for f.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 96474 is divided by 542?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(-6)*s)**(-2\/7) assuming s is positive.\nAnswer: s**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2002704333.\nAnswer: 3, 7, 191, 71329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 - 2. Suppose -a - 1 + k = 0. Suppose 8*l = a*l + 140. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 51 - 48. Suppose h*r = -4*a - a + 18, 0 = 5*a - 2*r - 13. Let k(w) = 37*w**3 - 5*w**2 - 2*w - 1. Is k(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2907926444 to the nearest integer?\nAnswer: 53925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 438497807.\nAnswer: 11, 39863437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 less than 5750584.7?\nAnswer: 5750584.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 8 = 2*l. Let x be (3 - l*-4) + 0. Suppose -10*t = -x*t + 5. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 6 = 0, -2*u + 509 = -4*r + 23. Let j = -156 + u. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(325) + -3*sqrt(325)*2 + sqrt(325) + -5)*3)**2.\nAnswer: 1800*sqrt(13) + 47025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 719447653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -117\/375140 and -29\/12192050?\nAnswer: 24384100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/((-4)\/(48\/63)))\/(-4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 + (10 - -8 - 15 - (1 + -5))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the second derivative of -7*k**3\/6 - 19*k**2 - 23*k. Let b be o(-6). Solve n + 4*y - 1 = 7, -n + b*y - 8 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 86\/(-2) + (-54)\/(-369)*-41.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j + 5*i + 40, -5*j = 2*i + 6 - 25. Let l = 131 - 132. Let r be 1*l\/21 - (-7)\/21. Which is the third biggest value?  (a) j  (b) r  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25935 - 25935 + 9*b**3 - 24*b**3 - b**3 + 5*b**3 + 12*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 35149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -253090, -1012445, -2278038, -4049869, -6327938, -9112245?\n\"Answer: -253119*d**2 + 2*d + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 4*u + 5. Let r(j) be the third derivative of 0*j**3 - 1\/180*j**5 - 2*j**u + 0*j + 0 + 0*j**4. Factor r(o).\nAnswer: -o**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 2, l: 1, k: 1, v: 1, i: 2}. Give prob of picking 1 l, 1 k, 1 i, and 1 q.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15.74 - 28.41. Round h to zero decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nbttmbtdnttbnbtffttm. What is prob of picking 1 b and 1 m?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -44117 - -6373?\nAnswer: -35524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8960064 by 373336.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -12*n - 312. Give u(-23).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1437711301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2043074 - -14301524\/7. Suppose 0 = v - 1 - 1. Factor 4\/7*a**v - q*a + 2\/7.\nAnswer: 2*(a - 1)*(2*a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 0*l + 6*l**2 + 5*l + 26*l**3 - 25*l**3 - 9. Let z be x(-4). Suppose -u - z*u = -8. Calculate the lowest common multiple of u and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(242)*2*1*6 + (sqrt(242)*-1*-3 - -3*sqrt(242)*-3))**2.\nAnswer: 705672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 34377.03mm in kilometers?\nAnswer: 0.03437703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -2*d**2 + d - 2. Give f(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.293 + 83.293. Let x = y + -83.8. Let k = 4.4 + -4. What is the smallest value in k, -5, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 101821541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 11773692 and 9811410?\nAnswer: 58868460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**4\/4 - 9*q**3\/4 - 33*q**2\/4 - 35*q\/4 - 3.\nAnswer: (q - 12)*(q + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m = -5*a + 61, 159*m + 4*a - 59 = 160*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in -2\/11, 2655, 2\/25, 31?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -283.6666902 to the nearest 10.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1371911024 to the nearest integer?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 13\/9  (b) -4  (c) 1  (d) -0.3  (e) -6  (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.491 - -2.961. Let k = d + -4.47. Which is the nearest to k?  (a) 0.5  (b) 3  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h**3 - 6*h**2 + 7*h + 3. Let d be i(-7). Solve j + 4 = d*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6903 is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 153240397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*z**5 - z**5 - 4*z**5 + (5*z**3 + z**3 + z**3)*(2 - 2 + z**2) - z + z**5 + z + 1024*z**3 - 3*z**5 - 1024*z**3.\nAnswer: 3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 292 + -288. Solve 0*v - s*v - 7 = 5*d, -2*v = -d + 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10 and 226.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**3\/9 + 58*g**2\/9 - 187*g\/3 - 968.\nAnswer: -(g - 33)**2*(g + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -7, 0.01, -5, 0?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 68979390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 450 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 - -5.7. Let f be ((-60)\/5)\/6 + 3*1. Which is the biggest value?  (a) l  (b) f  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (17 + (-468)\/28)\/((-32)\/(-48)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/5 and -53\/326185.\nAnswer: 326185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/(-16) + 2 - (18 + -17).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -46, -85, -132, -187, -250, -321?\n\"Answer: -4*r**2 - 27*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -2*x. Let o be c(-4). Suppose 4*m - o*m - 92 = 3*f, 46 = -m + 5*f. Let j = -26 - m. Solve 0 = 2*b - 2*p + 8, -5*p = -3*b - j*p - 14 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 11 - (-725 - -735) - (-1 - (-10 - -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -16, 17, -20 in decreasing order.\nAnswer: 17, -16, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9579149 minutes to seconds.\nAnswer: 57.474894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -49.217*5\nAnswer: -246.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*f - 98 = -153 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2780750 divided by -14.\nAnswer: -198625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 628\/29723 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -33 - -141. Let z be -3 - ((-321)\/y - (-4)\/(-16)). Which is the fourth smallest value?  (a) 5\/3  (b) 5  (c) -2\/7  (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -1. Let p(d) = -3*d - 4. Suppose -19*g = 30 + 27. What is g*p(m) + 12*r(m)?\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 125 (base 10) to base 16.\nAnswer: 7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/6*(-2)\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5414003 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05 less than 94?\nAnswer: 93.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 + (0 + 2 + -3 - -9). Let p(i) = -i + 0 + 10 + 0*i. What is p(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = 714*g - 724*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 16*d*z**4 - 149707*d*z**3 - 960*d*z**2 + 11*d*z - 7*d - 7 wrt z.\nAnswer: 384*d*z - 898242*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13399.\nAnswer: 13399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.271 - 0.241. Let f = w - 3.03476. Round f to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 5 + 11*u**2 - 22*u**2 + 10*u**2. Let c(v) = v**2 - 6. What is 6*c(z) + 5*f(z)?\nAnswer: z**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:23 PM and 12:33 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1242 - 52154?\nAnswer: -50812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, a: 4}. What is prob of picking 1 f and 2 a?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 193*3\/(2 - -1). Let w = r - 273. Let u = 135 + w. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*a**5 - 33 + 33 + (0 + 0 - a)*(0*a - 2*a**4 + 0*a) + (0*a + a**2 + 0*a)*(-4*a**3 + 5*a**3 - 2*a**3).\nAnswer: -4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 - 0) + 8 + -1. Suppose -4*u + 9*u - 30 = 0. Let p(b) = u*b - d*b - 2*b. Let x(g) = -6*g**2. Calculate p(x(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000009753919 rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1351495397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 10, w: 9, g: 1}. What is prob of picking 2 j?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 4, r: 2, y: 3, f: 2}. What is prob of sequence rfr?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 29580764.8 to the nearest one million.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**2 + 2*y - 38. Let j(m) be the first derivative of m**2\/2 - 4762. What is n(j(q))?\nAnswer: -q**2 + 2*q - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1*5*424\/1855. Factor -2\/7*d + 8\/7*d**4 - 2\/7*d**5 - 12\/7*d**3 + 0 + r*d**2.\nAnswer: -2*d*(d - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 16) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the first derivative of 2*h - 4. Let b(r) = -r - 4. Calculate -2*b(u) - 5*l(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -118*f + 94*f + 504 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 1 + 4)*(2 - 2 - 1)*(3*q - q - q)*(-9 + 9 + 5*q).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 0*b = 4*i + 151, -4*i = 4*b - 92. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4989*6\/(-8)*56\/(-126)?\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*6\/63 - -264*5\/(-105).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.18 - 0.25. Round u to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -144*p**4 + p + 0*p + 1158 - p**2 - 1158 to c*p + i*p**3 + g*p**4 + d*p**2 + y and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16 + 16 - 164*f**2.\nAnswer: -164*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 less than -12015?\nAnswer: -12014.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -87 + 263\/3. Let i = -0.8 + -0.2. Are v and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 2 g when three letters picked without replacement from quqmgqqoghhu?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 174.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 112  (b) -4  (c) -7  (d) -2  (e) 185\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s + 1769 = 1794, 0 = -c + 4*c + s + 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -2*d + 10. Let b(h) = -h + 13. Let x(y) = -3*y + 38. Let t(m) = 11*b(m) - 4*x(m). Let l(q) = 2*k(q) + 3*t(q). Let f be (-2)\/1 + (-6)\/2. What is l(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22217880?\nAnswer: 2, 3, 5, 185149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s = -433 - 2219. Suppose -s = -2*i + 48. Calculate the greatest common factor of 35 and i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 40598648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 38*x + 27. Give q(2).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 18400 by 80.\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -q + 4*q - h, 0 = 3*q - 3*h. Let v be 1 - (-4 - (1 + q)). Suppose 0 = n - 2*d - 61, 3*d = -v - 2. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 310 divide 596440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssfsssswswffssssww. What is prob of picking 1 f and 2 w?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 1\/3, -6, 0.02, -5136, 4\/5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*f - 6*f + 7*f**2 + (0 + 1 + 1)*(5*f**2 + 2*f**2 - 3*f**2) - 58*f**2 + 25*f**2 + 1 + 25*f**2.\nAnswer: 7*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -3 + -407\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -5243 and 0.14?\nAnswer: 5243.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -14212*j - 99477. Determine k(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y\/((y*y\/y**(-6))\/y*y*y))\/y**(-3\/4))\/(y**(4\/3)*y**(-3\/2)))\/(((y**3*y)\/y**(-7))\/(y**(-1\/2))**8) assuming y is positive.\nAnswer: y**(-265\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 337051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r, 1 u, and 1 b when three letters picked without replacement from jgggrrbbubjgbrguuwbb.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are 80\/13697 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 724 + -760. Let u = -111 - n. Which is smaller: u or -70?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4313*i**4 + 1372*i**3 - 4471701*i**2.\nAnswer: -103512*i + 8232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k + 38*k - 26*k - 5. Let t(a) = 5*a - 2. Let p(f) = -4*l(f) + 11*t(f). Calculate p(-7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*w + 20*w - 6 = 2*v + v, -w - v + 6 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(4\/23)*a*a*a)**(-32)\/(a\/(a*a*a**(-1\/28)))**(-9\/7) assuming a is positive.\nAnswer: a**(-607701\/4508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 337 - 336.668. What is x rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 39*u**2 - 2*u - 1. Let b be o(-1). Let t be 1\/3 - b\/(-6). Let k = 27 - t. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gww when three letters picked without replacement from {x: 10, g: 1, w: 6}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 2*c**2 + 30*c - 88. Give u(-18).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-4)\/2 - 7)\/((-1)\/(-1)). Let x(g) = g**2 + 9*g + 31. Is x(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -22.2?  (a) -0.2  (b) -3  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/40 and -43\/25.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 499 is divided by 154.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - a = -201, 4*p = 2*a - 3*a + 399. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -117*j**3*x - 2*j**3 - 15*j - 6*x - 145 wrt j?\nAnswer: -351*j**2*x - 6*j**2 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -953612*f*q**5 - 1651*f*q + f + q**5 - 26*q**2 - 2*q - 1 wrt q.\nAnswer: -57216720*f*q**2 + 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -3*b + 3*n - 52, 0 = 4*b + n + 54. Is (-20)\/(-4) - b*2 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -11.47965 and -3.75.\nAnswer: 43.0486875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20399 is divided by 74.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7583 - -144329\/19. Let g = -1473\/38 + r. Calculate the common denominator of -39\/92 and g.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -5*f - 3 + 2*f + 1. Let h(g) = -1. Suppose -93 = 5*m - 163. Suppose -10*q = -m*q + 12. Calculate q*h(a) - c(a).\nAnswer: 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + 1. Let z = -162 + 167. Solve h = z*n - n + 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 2470980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j - 3*j + 3*j)*((-2*j + 4*j - 3*j)*(-j**3 + 0*j**3 + 4*j**3) + 5*j**4 - 3*j**4 - 4*j**4 + 2*j**4 - 4*j + 4*j) + 72*j**2 - 72*j**2 + 5*j**5.\nAnswer: 2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27417 = -1475*s - 17092 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 26314 and 11150?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 428789000 rounded to the nearest 1000000?\nAnswer: 429000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.183 - -0.017. Let j = -102.7 - -170.8. Let n = 68 - j. What is the closest to n in 5, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1, -58, -179, -362?\n\"Answer: -31*l**2 + 34*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 356 - 317. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 1225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 52179, 52177, 52175, 52173, 52171?\n\"Answer: -2*h + 52181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3211661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -29 + 12. Let h = n + 16.999994. Round h to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -176 + 0\/2*-1. Let c = -95 - l. Calculate the highest common factor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 3*n**2 - 10*n + 1. Suppose 1 = -4*g + 5. Calculate the least common multiple of h(4) and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -108199995 divided by -3921\nAnswer: 27595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 2*d**2 - 12508*d - 200644. Calculate t(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3322573711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1144 + -1.389.\nAnswer: -1145.389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 58 + -59. Let o = -0.068 - 5.032. Let l = 2.1 + o. Put w, l, -2\/3 in increasing order.\nAnswer: l, w, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -56, 5, -4, 10, 42, 2, 3 in ascending order.\nAnswer: -56, -4, 2, 3, 5, 10, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 0.5423493 tonnes?\nAnswer: 542349300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*a + 13*a = 5*c, 2*a - 2*c - 14 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7131225899\/5941 - 1200341. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*p**3 - 3 - p**3 - 2*p**2 + 2 to the form q*p**2 + x*p + z + f*p**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**3 + 4*w**2 + w + 2. Calculate s(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-18 + (-4230)\/(-234))*-69. Which is the closest to -0.2?  (a) 1\/7  (b) t  (c) 2\/13  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 481596877.\nAnswer: 79, 6096163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 105 and 66483345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 0.4000249 weeks?\nAnswer: 4032.250992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 4*a - 1248, 3*a + 5*y - 1570 = -2*a. Let c = a - 305. Solve -c + 2 = -h + 3*s, 0 = -s - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-2)\/(-4))\/((-7)\/14). Let m(b) = b**4 - b. Let d(u) = -8*u**4 + u - 4. Let f(j) = g*d(j) - m(j). What is the derivative of f(s) wrt s?\nAnswer: 28*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (48*v - 7*v**2 - 48*v)*(-10*v**2 + 7*v**2 + 0*v**2) as l*v**3 + d*v**4 + x*v + g*v**2 + m and give d.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(4374)*-1)\/(sqrt(27)\/sqrt(12)))\/((sqrt(128) + sqrt(128) + (sqrt(128) - (sqrt(128) + sqrt(128) + sqrt(128)*1*-5 + sqrt(128))) + sqrt(128))*-6).\nAnswer: sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10754436 by 4326.\nAnswer: -2486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {m: 8, g: 4, c: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1035 - m - 987 + 1965)*(-1 + 0 + 27)*(2*m**2 + 0*m**2 - m**2) as g*m + l*m**3 + r + n*m**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5727 + 5731. Which is the nearest to 0.2?  (a) -0.5  (b) k  (c) -1\/7  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*l - 52 = 13*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 157056.54 microseconds?\nAnswer: 0.002617609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**4 - 450348*d**3 - 25353466466*d**2 - 202806115536*d - 405597820448.\nAnswer: -2*(d + 4)**2*(d + 112583)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -3  (b) 3\/68  (c) -5  (d) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the first derivative of 25*l**2\/2 - 5*l - 4. Let n be r(4). Suppose -n = -5*b + 100. What are the prime factors of b?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the third derivative of -x**4\/24 + 7*x**3\/6 + 2*x**2. Suppose -5*u + 40 = 5*l, 0 = -0*l + 3*l - u - 32. Suppose -10 - l = -4*n. Give d(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*j + 0*j + 0*j + (3 + 0 - 1)*(0*j + 2*j - 4*j) + 18*j - 223 + 223)*(2*j - 1 + 1) + 633 - 633 + 28*j**2 in the form q*j + f + v*j**2 and give v.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4091133*i**5 + 13335671*i + 1.\nAnswer: 81822660*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 15321, 18151, 22869, 29475, 37969?\n\"Answer: 944*d**2 - 2*d + 14379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 296797 is divided by 59?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3, -17, -45, -87, -143, -213?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 45135, -4, -3, 1, 4.\nAnswer: -4, -3, 1, 4, 45135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.016279 rounded to 4 decimal places?\nAnswer: 0.0163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert b7d (base 15) to base 9.\nAnswer: 3501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.093 - 17.793. Let p = 22 + t. What is p rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7028 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -35 - 5*o + 27 + 27 - 53*o + 37 + 2*o**2.\nAnswer: 2*(o - 28)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2761 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*j + 19 + 16 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 - -385?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3406*u - 4098*u - 1283*u.\nAnswer: -1975*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l + 5*x + 4, -5*l + 10*l - 2*x = 20. Solve -4*o = l*w - 18 - 2, 9 = 3*o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 2107, 163\/8, -8, -3, 5, -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4326 - 13?\nAnswer: -4341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 to the power of 1\/9, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 - -4. Suppose -j = 2*a - 4. Calculate the remainder when 20\/2 - (-13 - 872\/(-68))*-51 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15862\/(-206)*14\/14?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 35\/(-15)*(-12)\/14*42\/12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 125 and 175?\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:48 PM and 8:20 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 27\/(-108) - 12\/16. Let n be (b\/(-6))\/((-144)\/(-576)). Factor 1\/3*f - f**3 + n - 4\/3*f**2.\nAnswer: -(f + 1)**2*(3*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*t = -2*t + 80. Let w be (t\/(-12) + -1)\/2. Suppose 0 = -2*k + 8*k + 6. Which is greater: k or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssussssssssss. Give prob of picking 4 s.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*f + 23*f + 336357000 = 0. Suppose -f = 53*k - 60*k. What is k rounded to the nearest 100000?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2553, 5145, 7741, 10341?\n\"Answer: 2*f**2 + 2586*f - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 89769730?\nAnswer: 2, 5, 2663, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 96 and 17553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y = 8*y - 6. Let d(j) = -j**3 + 8*j**2 + 8*j + 6. Let a be d(7). Suppose -3*q = 5*x - a, -y*x - 185 = -7*q + 2*q. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let i = 197 + -196.999999911. What is i rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-42)\/12*(-8)\/14. Solve u*v = v - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1\/(-27))\/((-4)\/12). Suppose -2*u + 20 = -6*u. What is the closest to 0 in u, 0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 7*h**2 - 6. Let q(p) = -p**2. Determine s(q(c)).\nAnswer: 7*c**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(704) + sqrt(704))**2*2 + sqrt(704) + -1 + 3.\nAnswer: 8*sqrt(11) + 5634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -f4 - 1?\nAnswer: -f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1634, 3269, 4904, 6539, 8174?\n\"Answer: 1635*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 561597 is divided by 24416.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 844 - 846. Sort 0.2, 0.1, y, 10 in ascending order.\nAnswer: y, 0.1, 0.2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4092 and 36.\nAnswer: 12276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**2. Let q(d) = -2923*d**2. Calculate z(q(a)).\nAnswer: 8543929*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a + 8*a = 3. Let y be (a\/(-9))\/((-2)\/12). Solve -y = 2*p - 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 217561 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 11694*z**2 + 35*z + 26. Is v(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 39886, 79774, 119662, 159550, 199438?\n\"Answer: 39888*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 282*n**3 - 3*n**2 + 20*n + 22. Let a be u(-1). Let g be 5\/20 + 3862\/8. Let b = a + g. Is 20 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3437968 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z - c = -27, -31752*z + 31754*z = 7*c - 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4563\/(-21) + -1 + (-36)\/(-28). Which is bigger: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/(8 + -8 + 4 + (-45)\/5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40793269681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) 0.5  (b) -2\/183  (c) 4\/7  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 9, k: 7}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 3*g, 33 - 1 = 4*x + 4*g. Suppose -x*y + 6 = -2*y. Factor -3\/2*v**2 + 2 - y*v.\nAnswer: -(v + 2)*(3*v - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 256.40307 months in years?\nAnswer: 21.3669225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 9 in -1\/2, 0.1, -0.1, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15524?\nAnswer: 2, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 4*i - 15. What is the lowest common multiple of k(5) and 26?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -16 - -11.84.\nAnswer: -4.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(9)\/sqrt(3) - (4*sqrt(12))\/sqrt(4)) + (5 + (sqrt(75) + -1)**2 - sqrt(75)) + 1*sqrt(75) + -3.\nAnswer: -13*sqrt(3) + 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 34055030 (base 7) to base 12.\nAnswer: ba6072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in b**2 + 8 - 8.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 5, s: 6, y: 2}. What is prob of picking 2 y and 2 s?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 2 - 24*y + 36*y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (272\/(-32))\/17*(1 + -1). Is -2 - 4952*(u - (-3)\/(-6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 3180478 - 5*s**3 + 5*s**2 - 3180477 + 12*s**3. Let d(t) = -3*t**3 - 2*t**2. Let h be (-1 - -1) + 0 + 2. What is h*l(p) + 5*d(p)?\nAnswer: -p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o**5 + 16*o**4 + 48*o**3 + 64*o**2 + 32*o = 0. What is o?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the second derivative of 3*v**5\/40 - 35*v**4\/8 + 403*v**3\/4 - 4563*v**2\/4 - 399*v. Factor a(j).\nAnswer: 3*(j - 13)**2*(j - 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 7\/3, -3\/8, 2\/3, -11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -227*k - 4. Is n(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 7 + 9*z**2 - 1 - 3*z**2 in the form x*z**2 + r*z + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.52 times 0.5?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 185 - 184.9. Which is the nearest to 2\/5?  (a) 6  (b) x  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 10*f**2 - 9*f**2 + f**2 + 0*f**2. Let n(m) be the second derivative of m**4\/4 + m. Determine b(n(k)).\nAnswer: 18*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -34 - -102. Suppose -k + 0 = -2*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2\/121 + 373\/605. What is the third smallest value in 1\/7, -2\/15, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -77328, -154672, -232016, -309360, -386704, -464048?\nAnswer: -541392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -889*m + 879*m = 40 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.0944279 in 6, 1, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 5*k + 21 = -9, -3*y + 26 = k. Suppose 3*w - h = 7*w + y, 0 = 2*w - 2*h - 6. Let t = w + 4. Solve -4*v = -l, -t*l = -6*l + 3*v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 31 - 21. Suppose 7*g = r + 18. Solve -7*t - g = -3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 148 - 61 = 3*k. Solve -k = -5*m - 4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 25.1 - 25. Let p = -112903\/6 + 18871. Let m = 53 - p. What is the closest to -1 in -4, o, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 6*j**5 - 40*j**4 + 196*j**3 + 242*j**2 - 2*j. Let d(w) = 20*w**5 - 119*w**4 + 587*w**3 + 726*w**2 - 7*w. Let y(z) = 4*d(z) - 14*x(z). Factor y(m).\nAnswer: -4*m**2*(m - 11)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 172 divided by -43\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -6 divided by 27033\nAnswer: -2\/9011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5903 = 159*p + 676 + 4710 for p.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the first derivative of 0*q**2 + 0*q + 2\/3*q**3 - 13. Let s(d) = d - 7*d + d - 4*d. Calculate z(s(k)).\nAnswer: 162*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 5*h + 83. Suppose -232*f - 5330 + 922 = 0. Give t(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.07, -2\/7, -13, 1\/4, -408.\nAnswer: -408, -13, -2\/7, -0.07, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 126 - 514. Let u = -277 + g. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02 - -1070336489?\nAnswer: 1070336489.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37 = -17*x + 2*q, 0 = 2*x + 5*q + 26 - 67 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*j = 4*f + 39*j - 66*j, -25 = -5*j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -73*h**4 - 179*h**2 wrt h.\nAnswer: -1752*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = 4*f, -3*t + 8*f = -3*t - 2*t - 22 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 + 29 = q + 10*g, 2*q = -0*g + 5*g + 38 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1595327546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -6436716 divided by -121\nAnswer: 53196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 13*f**2 + 5*f + 7. Let q be a(3). Let d = q - 135. Let o = -20 + 115\/6. What is the third smallest value in d, o, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes after 9:46 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*a + 120 = 87 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -2*s + 33. Suppose 0 = 4*d - 4*g - 44, 2*d - 3*d = -2*g - s. Calculate the remainder when (-2)\/(1*10\/(-95)) is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 103318013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 931 and 248507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8359\/444 + 1\/148. Find the common denominator of -33\/2 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -2824.886 and -21.\nAnswer: -2845.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.8569075 rounded to four dps?\nAnswer: -0.8569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 29828*a**2 - 48697*a wrt a?\nAnswer: 59656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -10*c + 40. Let q(y) = 9*y - 41. Let u(h) = 6*g(h) + 7*q(h). Let p be u(19). Suppose -4*j + p*j - 240 = 0. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 3) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-6 + (5 - 3) - -4) + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -127, -279, -431?\nAnswer: -583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (5 - (4 + 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 15*k**3 - 5*k**2 - 5*k. Let m(i) = -44*i**3 + 14*i**2 + 14*i. Suppose 543*f = 537*f - 84. Give f*u(t) - 5*m(t).\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29 = 2*b + 33 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 28*j**3 + 8*j**2 - 8*j + 5. Let h(f) = 9*f**3 + 3*f**2 - 3*f + 2. Let u(q) = 3*c(q) - 8*h(q). Let w be (4\/4 + -2)*-1. What is u(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.10893551297 rounded to five decimal places?\nAnswer: 0.10894","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**3 + 6*a**2 + a - 11. Let w be y(6). Sort 2, w, -4 in decreasing order.\nAnswer: 2, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, c: 2, z: 1, v: 5, h: 3}. Give prob of sequence zv.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (6\/(-8))\/((-33)\/22). Let r = 64\/5 - 11. Which is greater: r or n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 345210 and 439132.\nAnswer: 243718260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s**4 + 701*s**3 + 97110*s**2 + 3361500*s - 38637000 = 0. What is s?\nAnswer: -530, -90, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -746 - -1410. Let o = 875 - u. Is o a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 221, 216, 211?\n\"Answer: -5*m + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -1 + 28\/20 - 566\/(-10)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00051182689 rounded to 5 decimal places?\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 2860, 11599, 26178, 46609, 72904?\n\"Answer: 2*j**3 + 2908*j**2 + j - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20904189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/53392 and -37\/2064.\nAnswer: 6887568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 4 = 3. Let j = -18.1 + 1.1. Let u = -15 - j. Which is the biggest value?  (a) -1\/3  (b) u  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, n: 1, e: 4}. What is prob of sequence rer?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -21*h**3 + 2*h**2 - 2*h - 2. Let l(k) = 357*k**3 - 35*k**2 + 35*k + 35. Determine -35*f(c) - 2*l(c).\nAnswer: 21*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14.4*81.\nAnswer: 1166.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) 0.5043  (b) 5  (c) -3  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = -128 + 53. Let d(t) = t - 1. Let k(w) be the first derivative of -3*w**2\/2 + 2*w + 1. Let m(j) = b*d(j) - 6*k(j). Give m(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*b = 14*b - 63. Let w(x) = x**2 + x + 2. Let l(u) = -22 - 2*u**2 - 7*u**2 - 11*u + 2*u + 1. Let f(n) = b*w(n) - 2*l(n). Solve f(p) = 0 for p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 653604764 minus -0.0272864?\nAnswer: 653604764.0272864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 904789 divided by 1\nAnswer: 904789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m*m**(-6)*m)\/m*m*m**(-4)*(m*m\/m**1*m)\/((m*m**(-1))\/m))\/((m**1)**(2\/185)*m**(-4)\/m*(m\/((m*m*m**(3\/5)\/m)\/m))\/m) assuming m is positive.\nAnswer: m**(294\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 13005 + 233?\nAnswer: 13242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the third derivative of -3*b**4 + 5*b**3\/6 + 9*b**2. List the prime factors of u(-1).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -32?  (a) -618\/11  (b) -3\/35  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1283668 (base 9) in base 6?\nAnswer: -23034442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b + 6*n - 1100, -5*n - 22 = 3. What is the remainder when b is divided by 61?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*z - 3*z + 3560 = 0. Suppose -3*f = -2174 + z. Let k = f + -336. Does 27 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2 smaller than -50.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 939 is divided by 94?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the second derivative of 0 + 16*o - 8\/15*o**6 + 0*o**2 + 5\/12*o**4 + 0*o**5 + 0*o**3. Find the third derivative of i(s) wrt s.\nAnswer: -384*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11 + 14. Let b(z) = -6*z**4 + 5*z**2 - z - 5. Let o(v) = -3*v**4 + 3*v**2 - 3. Let q(p) = l*b(p) - 5*o(p). What is the second derivative of q(j) wrt j?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 167 + -185 - (10 + 3 + (6 - 4))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 575989172 and 1496?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 2 y when three letters picked without replacement from yyytyyyttttyytty?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 16 - 20 = -2*p, 0 = 3*f + 4*p - 27. Let n = 33 + f. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58457364829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 6 + -3274?\nAnswer: -3267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 48 - 8. Suppose -6*t + 20 + p = 0. What is the second derivative of t - 14*s - 10 + 6*s**3 + 3*s**3 wrt s?\nAnswer: 54*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13 + 6. Let m(b) = 1. Let z(p) = p**2 + 7*p - 14. Let a(h) = -5*m(h) - z(h). List the prime factors of a(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*r = 4*r + 105. What is the remainder when r is divided by (-20)\/(-170) + (-1890)\/(-119)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 c when two letters picked without replacement from {l: 1, c: 18}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-64 - 51) + 112 + 0 + (-1 - 13)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.748576 litres to millilitres.\nAnswer: 748.576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + (9 - -4) + 3 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -110213151 - 0?\nAnswer: -110213151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*r**3 + 6345*r**2 - 461050*r + 2538960.\nAnswer: -5*(r - 1192)*(r - 71)*(r - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 384 and 156.\nAnswer: 4992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**2 - 15*b - 9. Let n(m) = m**2 - 4*m + 2. Calculate the remainder when p(-10) is divided by n(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 217387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**2 + 3*c + 4. Let k be p(-3). Let l(o) be the first derivative of -4\/3*o**3 + 139 - 1\/2*o**2 - 4*o + 1\/4*o**4. Calculate l(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 300885 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 665961?\nAnswer: 3, 221987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.36 minus -5?\nAnswer: 5.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 895372 is divided by 9732.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 14344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14, 69, 292, 727, 1446, 2521, 4024, 6027?\nAnswer: 8602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 70\/210*6*(-22)\/(-8) + -6\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p - 4*p = 2*t - 529, 3*t = p + 167. Let o = -177 - p. Suppose -2\/11*c - 2\/11*c**o + 0 = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2 and 7162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -15*f + 42. Let d(n) = -10*n + 28. Let x(z) = -8*d(z) + 5*k(z). What is the units digit of x(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 plus -7651?\nAnswer: -7588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 63862171.3 to the nearest 1000000.\nAnswer: 64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/21 and 173\/330?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cbyrcrtk. What is prob of picking 1 t, 1 b, and 1 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -b3a + -6cfc?\nAnswer: -7836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -40 - -42. Solve 0 = 5*g - 3*k, 14 = g + f*g + k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - p - 1357 = 3*f, 4*f - p - 2709 = 0. Let d = f - 367. Does 57 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -3*n**2 + 6*n - 6. Let y(r) = r - 1. Let i be (-1)\/((-27)\/(-33) - 10\/(-55)). Calculate i*s(x) + 6*y(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -3*n + 1. Suppose 7*o - 35 = -0. Let r(q) = -6*q. Let v(p) = 6*p + 1. Let y(a) = 4*r(a) + 3*v(a). What is o*i(d) - 2*y(d)?\nAnswer: -3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 4*i**2 - 5*i. Let w be -6*(-2 + 3)\/(-2). Let q(f) = -f**2 + f. Let v(m) = w*n(m) + 15*q(m). Let h(d) = -2*d**2. Give h(v(x)).\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t - 18 = 0, 12919*a - 12934*a + 3*t = -t + 2*t - 33 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0046828 rounded to 4 decimal places?\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:16 PM and 7:20 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*c - c + 2*c)*(0*c**3 + 2*c**3 + 0*c**3)*(-285233 + 285233 + 559*c).\nAnswer: -2236*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 2 v when three letters picked without replacement from {x: 1, v: 10, m: 1, e: 1}?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*d**3 + 0*d**3 - 401882 + 401890 - 26*d**4 as h*d**4 + f + m*d**2 + t*d**3 + k*d and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -614116 - -31?\nAnswer: -614065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**3 - 10*t**2 + 20*t - 36. Let k be r(-12). Calculate the highest common factor of 28 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/6 of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16259, -16370, -16481, -16592, -16703, -16814?\nAnswer: -16925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the second derivative of -1\/600*c**6 + 0*c**5 + c**2 + 1\/15*c**3 + 2*c + 0 + 1\/40*c**4. Let p(i) be the first derivative of b(i). Factor p(r).\nAnswer: -(r - 2)*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 - (1 + -5 - -35)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c = -4*m - 38, 2*c - 3*m - 24 + 13 = 0 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3*d*o**2 - 325*d + 77*o**4 wrt o?\nAnswer: -6*d*o + 308*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**2 + 5*i + 4. Let x be n(5). Suppose -y = -3*y - x. Does 3 divide (-2 + (-5)\/y)*6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 24\/(-132) - 70\/(-22). Let u(m) = -m**2 + 2*m**2 - m + 16*m**q - 17*m**3 - 5 + 2*m. Give u(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (12 + -9)\/33 + (-1583)\/(-11). What is the greatest common factor of 378 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-95140)\/(-4690) + (-22 - -2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4239 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -23624793 <= -23624793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (4 - 77\/14) + (-638)\/(-4) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 - 3 - 1)*(1 + 1 - 3)*(2 - 4 + 1)*(-4*t - 4*t + 2*t) to x*t + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 498 and 415.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 2*u - 15. Let q = 266 + u. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -111032 - 4?\nAnswer: -111041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000176483824 to seven dps.\nAnswer: -0.0000176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k - k + 3 = 0. Suppose 3*t - 18 = k*n, -5*n - 12 = 2*t - n. Suppose t*x - 74 - 18 = 5*q, -5*x - 3*q = -168. Is 18 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 655 or 2619\/4?\nAnswer: 655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 1620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 2*y = 8, 5*u + 2*y = -0*u + 1. Let j = 1 - u. Solve 3*z + 2*z - 15 = j for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62305307024*m + 4*m**3 - 62305307031*m + 124610614055*m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w and 1 l when three letters picked without replacement from {w: 8, l: 2}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6 + (3178814\/38 - (-3)\/3). Round y to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11109 divided by 1587\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**3 + 6*t**2 - 3*t + 5. Suppose -3 - 1 = -4*d. Let i be -1 - 3*(-2)\/d. Is 9 a factor of x(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 6*i - 2*t = 22656, -5*i - t = -28306. Suppose 3*l = 38933 + i. Is l\/5 + -4 - -2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/((-225)\/((-946125)\/580)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 13 = -5*t, 0 = 3*t - q - 0*q - 9. Suppose 0 = t*x - 1 - 41. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (29 - (10 + -10) - (-2 + -1)) + (-4 - 0).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 27 + 18 = 0. Let j(m) = -m**2 - 10*m + 13. List the prime factors of j(s).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -701 - 590 - 592 = -269*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -9*w - 2*w + w - 90 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (4\/28)\/((-588)\/1029)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 6 - (134 + -121).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -194.104 - -194. Let d = 0.204 + g. Let a = -2.4 + 3.5. What is the closest to a in d, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 306584?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 4624905, 4624948, 4624991, 4625034, 4625077, 4625120?\n\"Answer: 43*r + 4624862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(108) + (0 + sqrt(108) + sqrt(108))*5 + sqrt(108)*1*-6)**2*-3 + -1.\nAnswer: -8101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x and 1 f when three letters picked without replacement from {u: 5, m: 1, x: 9, f: 3}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o**4 + 24*o**3 - 4*o**2 - 96*o + 80 = 0. What is o?\nAnswer: -2, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*i**4 - 331605*i**3*p**2 + 34*i*p**2 - 4713*i*p - p wrt i?\nAnswer: 60*i**2 - 1989630*i*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*o - 284 = 45*o - 60 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 10\/9  (b) 1\/2  (c) 0  (d) 5  (e) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6.597444 + 6.591. What is i rounded to 4 decimal places?\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -352 + 363. Let i(s) = 8*s**3 + 2*s**2 - 4*s + 4. Let z(m) = -12*m**3 - 6*m + 6*m**2 - 5*m + 35*m**3 + 11. What is p*i(c) - 4*z(c)?\nAnswer: -4*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 6*k**2 + k + 7. Let l(i) = i**3 - 14*i**2 + 14*i - 10. Let b be l(13). What are the prime factors of v(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i - 4*i = 14. Suppose -m - 696 = -i*m. Is m\/(-12)*-3 + 1\/(-1) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/(-70))\/((-3)\/7).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 14 = 4*z, -2 = -5*x - z + 5. Suppose -v = 0, -x*m - 8*v = -11*v - 46. Solve 5*i + 4*f - 35 = -f, 5*i = -f + m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, 167, 1172?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 22132 or 22131?\nAnswer: 22132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kr when two letters picked without replacement from kzxqqrkkkkxk.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -13*j - 15. Let r be c(-5). What is the highest common divisor of r and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 25, -7, -85, -227, -451, -775, -1217, -1795?\nAnswer: -2527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**17*t\/(t\/(t*t**(-1\/2)))*(t**(-5))**16 assuming t is positive.\nAnswer: t**(-125\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 2*s. Let h be g(-2). Let i(l) = 16*l - 1. Let u be i(4). Let w = u + -443\/7. Sort 5, w, h.\nAnswer: h, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c - c**2 + 2*c**2 - 3*c**2)*(4*c - 3*c - 14*c).\nAnswer: 26*c**3 + 13*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the second derivative of y**7\/210 - y**6\/45 - y**5\/30 + y**4\/3 - 7*y**3\/6 + 2*y. Let s(w) be the second derivative of a(w). What is t in s(t) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 185279497.2us in weeks?\nAnswer: 0.000306348375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1172 + -1102. What is the greatest common factor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 89 - 61. What is the units digit of 8\/(-28) - (-1548)\/o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 115\/(-92) + -2 + (-34947)\/(-12). Suppose 0 = -9*n + g + 475. List the prime factors of n.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 5*q**2 - 9*q + 4. Let g(b) = -11*b**2 + 18*b - 7. Let f(w) = 2*g(w) + 5*v(w). Factor f(m).\nAnswer: 3*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2933.62464 take away 22.435?\nAnswer: 2911.18964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 1 p, and 1 v when three letters picked without replacement from {c: 1, p: 6, x: 5, v: 7}?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u + 5. Let y be x(6). Let p(m) = 2*m**2 - 166*m - m**2 + 312*m - 9 + 8*m**2 - 3*m**3 - 155*m. Let z(r) = r**2 - r - 1. Give y*p(l) + 9*z(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1*(-1 - 6\/2). Is y <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6482 divided by 7\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 177075 and 900.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5860027526?\nAnswer: 2, 31, 8231, 11483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 28480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4882 is divided by 64?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1620)\/70*(-70)\/2 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*m = -48*m + 67*m + 63 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*b - 2*b = 4725. Is 45 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the first derivative of -v**6\/3 - 290*v**5 - 1305*v**2\/2 + 1742. Find the second derivative of t(l) wrt l.\nAnswer: -40*l**3 - 17400*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 35.0000276 + -35. Round c to six dps.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (((-5)\/(-2))\/5)\/(3\/6). Suppose -m = 5*y - 6, 5*y - 700 = -l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1100101111000001 - 11?\nAnswer: 1100101110111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-31 - -35) + -2*(-1)\/1. Is 6 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from {w: 1, h: 1, v: 10, o: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 262 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60)\/(sqrt(8)\/sqrt(18)))\/(sqrt(60)\/sqrt(5) - sqrt(525)\/sqrt(7)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, y: 2, t: 5, f: 1}. What is prob of sequence yt?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the first derivative of -q**2\/2 + 19*q + 1. Let x be t(9). What is the greatest common divisor of x and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4888 = p + 4*s, 0 = p - s - 527 + 5430. Round p to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -295291\/20020 - 1\/5005. Which is greater: k or -15?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 171 divide 1238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15, -89, -221, -417, -683, -1025, -1449, -1961?\nAnswer: -2567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.29 * 28.\nAnswer: 8.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 13 + 21 - (3 + 4\/(-2)). Calculate the highest common factor of 44 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 + ((-52220)\/(-2268) - 5).\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 o when two letters picked without replacement from {f: 1, h: 1, n: 1, e: 1, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3876*m + 1912*m + 16 + 2409*m - 3*m + m + 0*m + (-1 + 5 - 3)*(-2*m + 0 + 0) to the form t + f*m and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 11992842 != 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 2707 (base 15) to base 16\nAnswer: 208c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 83*d + 268. Let u = 5 + -3. What is the least common multiple of ((11 - u) + -2)*1 and j(-3)?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 2*w + 24 = 0, -a - 2*w = -0*a - 4. Let f = 4 + a. Let y be 10\/25 - (-21)\/(-15). Which is smaller: f or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1354 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 73\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 400 and 147550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-59220)\/(-690900))\/((-6)\/(-35))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5 - 10 + 5 + 400*d + 631*d**4 + 268*d wrt d.\nAnswer: 7572*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 80214009 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 32, 2\/11, 4, 2\/5, 153?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 391 - 383 = -2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 2*i - 25 = 0, 0*y - 5 = -y + 5*i. Suppose 3*c = y*l - 34, 17 = l - 0*l - 4*c. Let a be (-6 + 2)\/(10\/15*-3). Solve -p + l = a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -4  (b) 0  (c) 2  (d) 0.00368  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -225.5 + 38.5. Let h = 191 + n. Is 0.2 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2518 - 2505. Solve -5*l = -3*h - 7*l + v, -3*h + 4*l + 1 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**2\/6 - 1696*a\/3 + 27008\/3.\nAnswer: (a - 3376)*(a - 16)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47497 is divided by 546?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -13*h**2 + 120*h - 6. Give a(11).\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -4*q + 3*q. Let p = q + 12. Suppose 4 = -d + p. What is the remainder when 7 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 123.88 - 123. Let a = 107 + -105.52. Let b = k - a. Which is greater: -1\/4 or b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 355715947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-60)\/18 - 5)*30\/2. Is 1.2 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**3 - 3 + 6 - 4*b**2 - b - 2*b + 3. Determine u(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 919.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 50 and 883440?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z + 3 - 3)*(-8588*z**2 + 8588*z**2 - 3308*z**4).\nAnswer: -6616*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/(-2)*(-16)\/2 + -5. Solve -1 = -a - p*y, 3*a - 5*y = -8 + 25 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b in -9*b**4 - 26*b**3 - 25*b**2 - 8*b = 0?\nAnswer: -1, -8\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*r - 546 = -44*r + 102 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes after 8:27 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-35)\/(-112))\/(65*20\/520)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 299 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kiuzljk. Give prob of sequence izjk.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 11*o**4*w + o**4 - 6*o*w + 44*o - 14275*w + 4 wrt o?\nAnswer: 44*o**3*w + 4*o**3 - 6*w + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1201850584 to the power of 1\/2, to the nearest integer?\nAnswer: 34668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*y - 16*y + 86 = -642 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -297838*0.73.\nAnswer: -217421.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1871 a factor of 229829983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -105*d = 77*d + 309 + 2239 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1193 and 192787607?\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 18173 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(1300) + -3*sqrt(1300))**2.\nAnswer: 5203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 109 - 107. Suppose -5*p - 3 + 13 = 0. Let a be ((-12)\/16)\/((-5)\/20). Solve 0 = 4*w - 2*k + 6, v*w = -3*w - p*k - a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55*i**2 - 81*i**2 - 6*i**3 + 4*i**3 + 26*i**2.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4931 is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4.94 + -0.06. Let p = 1214.1 - 1214. Which is the third biggest value?  (a) p  (b) i  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x**4 - 111932*x**3 - 1568555994*x**2 - 68789652200*x + 143854423864 = 0 for x.\nAnswer: -27961, -46, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2101*l**2*p**3 - 38*l**2 + 11460*p**3 - 3*p + 4 wrt l?\nAnswer: -4202*l*p**3 - 76*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55202 = -241*x - 3702*x for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/2 + 180\/24. Suppose -k*f + 4 = -12. Suppose -62000 = -4*b + 8*b - j, -4*b - f*j = 62000. Round b to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 36639 and 6.\nAnswer: 73278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 6974719 to the power of 1\/2, to the nearest integer?\nAnswer: 2641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*n**5\/9 - 9254*n**4\/9 + 55586*n**3\/9 - 46330*n**2\/9 = 0. Calculate n.\nAnswer: -4633, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2.99816 + -0.00184. What is the third smallest value in -10, 23, a?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 756 and 23303.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 95\/51972 and 41\/8662?\nAnswer: 51972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uk when two letters picked without replacement from yyyuyvvyyvyvyky?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-129)\/258*3\/((-33)\/4).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0 - -6 - 4\/20*0. Suppose s*y - 2*y - 164 = 0. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 311 - 311 = 0. Let o be 2 - -1 - (-2 + 0). Suppose -4*h + o + 7 = 0. Solve -9 = -a*t + h*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 543 is divided by 33.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 6, s: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x + 3*m = 34, -47*m + 48*m - 33 = 6*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -17 in -2\/9, -13, -0.1?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -42 and 2655.3?\nAnswer: -111522.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -474 divided by 5.\nAnswer: -474\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 18 = 113. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.4, -4, 419\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24\/2880*45)\/(1\/(-208)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.94134 * 0.3.\nAnswer: -1.182402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - -3. Suppose -c = -4*o + 36, -o + 2*c + g*c = -9. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 33 - 36. Let r be 6\/8 - (b + 3). Let k = -1 - -2. What is the biggest value in -0.4, r, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**2 - 9*y + 202. Let u be b(31). What is the highest common factor of u and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 99*l**2 + 0 + 0 - 42*l**2 - 55*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (192*u - 2 + 2 - 12*u)*(0*u**3 + 3*u**3 - u**3).\nAnswer: 360*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 2*q + 108. Let c(f) = 4*f**2 - 854*f - 852*f + 2560*f - 854*f. Determine r(c(t)).\nAnswer: 8*t**2 + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -73 - -113a?\nAnswer: 10a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/(-72)*11*-44. Let d = 2\/949 - -50291\/2847. Let q = g - d. Sort -3, q, 0.5 in decreasing order.\nAnswer: q, 0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3526\/17 smaller than 207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a + 5*a - 3*a)*(-3*a + a + 4*a) + (3*a - 2*a + 0*a)*(-3*a + 0*a + a) + 2*a - 2*a + a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 97977831 is divided by 87.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 23 = 1. What is the highest common factor of k and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 242729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = -0*l + 15. Suppose -l*f + 3 = -2*f. Let a be f*(3 - (-3 + 1)). What is the greatest common factor of a and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01635004 to 4 dps.\nAnswer: -0.0164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/14072 and -95\/10554?\nAnswer: 42216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -197*y + 194*y + 5 = -2*k, 0 = -5*k + 2*y - 18 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (1 - (1 - 3)) - -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.059 - 31.059. Let r = 31.5 + l. Let j = 0.83 - r. What is j rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0701939 to three decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -168 in -24, -5\/3, 2, -12\/7?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) -1\/2  (c) -1615  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(-1)*o)**39*(o**(-6\/7)\/o)\/o*o\/o**(-1\/3) assuming o is positive.\nAnswer: o**(787\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-44)\/(-6))\/(1\/9). Let u = 43 - g. Let i = 56 + u. What is the highest common divisor of 22 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in -2, 1\/7, 516?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 5*w = 18, 36 = -3*h + 3*w - 0*w. Let d = h + 12. Suppose d = 2*c - 3. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -211.546 - 0.254. Let h = 7.8 + g. Let m = h - -203.999572. What is m rounded to five dps?\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -3*x. Let m(z) be the second derivative of 47*z**3\/6 + 2*z - 3. Determine m(v(p)).\nAnswer: -141*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 911 + -911.030956. Let k = -0.1690376 + a. Let v = k + 0.2. Round v to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-162)\/(-36))\/((-1)\/2). Let f = -6 - w. Solve f*h = -h + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:29 PM and 12:08 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add -16.5 and 3.\nAnswer: -13.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -11*a - 6. Let q(t) = -12*t - 5. Let h(z) = -5*i(z) + 6*q(z). Suppose -376*j = -375*j - 1. Determine h(j).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 924 a factor of 32294724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 - 1.057147.\nAnswer: -11.057147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i\/i**(-9\/4)*i)**45)**(-2\/39) assuming i is positive.\nAnswer: i**(-315\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1201*l + 643*l + 560*l + 559 + 1155.\nAnswer: 2*l + 1714","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -220.9937 - 0.0063. Let j = -104 + h. Let t = j + 324.999999837. What is t rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 7*g**2 - 31*g - 12. Calculate s(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1494500899?\nAnswer: 7723, 193513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 668.396 tonnes in micrograms?\nAnswer: 668396000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1122, -2244, -3364, -4482, -5598, -6712?\n\"Answer: v**2 - 1125*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 51, 39, 25, 9?\n\"Answer: -u**2 - 9*u + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the second derivative of 3*z + 0*z**2 + 0*z**3 + 0 + 1\/6*z**4. Let x(c) be the first derivative of -c**2\/2 - 36. Determine x(b(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -383200069, -383200068, -383200067?\nAnswer: -383200066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**(-1))**38*s**8\/(s\/(s\/s**(-4))) assuming s is positive.\nAnswer: s**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**3 - 16*s**2 - 4*s - 12. Suppose -6*b + 2*b = 3*h - 83, -65 = -5*b + 4*h. Let v be a(b). Let c = v - 77. List the prime factors of c.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -368, 73, 516, 961, 1408, 1857, 2308?\n\"Answer: o**2 + 438*o - 807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange b**3 - 1 + 2*b + 3*b - 3*b - 3*b - b**4 to the form z*b**4 + a*b**3 + h + s*b + c*b**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 79988161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**3 + 13*l**2 - 35*l + 95. What is c(12)?\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in q**3 - 1715*q + 1715*q.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1584 divided by -11.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the second derivative of -2*q**7\/147 - 4*q**6\/105 - q**5\/35 + 7*q. Determine o, given that r(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -112 - -160. Suppose b + o = 3*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3\/6)\/(((-176)\/11)\/128*3\/(-12))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let h = 40 + -37. Is ((-15592)\/(-12)*h)\/(-1 + 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22453 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1480.9 + 1481. Let l be (-2)\/(-18)*-11 + 1. What is the second smallest value in -1\/3, i, l, 1\/6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -96*z - 201 + 12 = 99 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 - -7. Let k = j + -3. Let o = 28 + -25. What is the closest to 0 in 0.4, k, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -51762 (base 8) to base 15\nAnswer: -657a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 194779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (r + 0 + 0)*(0 + 0 - 2*r)*(-3*r + 4*r + 5*r) in the form f + v*r + n*r**2 + m*r**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.61 to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9 + 10. Let z be (-2)\/(-3)*3\/8. Which is the nearest to f?  (a) -0.4  (b) z  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 513941 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 32073, 64152, 96229, 128304, 160377?\n\"Answer: -q**2 + 32082*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 132 - -887871?\nAnswer: 888003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7.58589 + -80167.90589. Let q = o - -80161.59999522. Let w = q - 1.28. What is w rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/((r*r**(-3\/7))\/r)*((r\/(r**0\/r))\/r)\/r)**(-14) assuming r is positive.\nAnswer: r**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -82*x - 28*x + 5*x to the form s*x + v and give s.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 35428\/1042 + 9894\/(-354) + -6\nAnswer: 3\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -2*q - 3. Let w(f) = -2*f - 4. Let o(u) = 2*g(u) - 3*w(u). What is the units digit of o(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 104\/182*7\/(-62)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l - 2. Let i be 6 + (2 - -1)\/(-3). Suppose 0*s = -i*s. Let a be o(s). Round a to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -726 - 2558 - 7*h - 2*h**2 - 31*h**2 with respect to h.\nAnswer: -66*h - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*m + 14 = o + 4*m, -5*m = 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-489*d - 190*d - 189*d)*(-4*d + 5*d + d).\nAnswer: -1736*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 - (5 + -21 + 5 + 4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1998, -1943, -1792, -1497, -1010?\nAnswer: -283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 34464955?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 8506.807 litres in millilitres?\nAnswer: 8506807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 5 = -10, 2*h = 4*x - 22. Which is bigger: x or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6802 is divided by 760?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -79 + 87 + (-887)\/61. Which is smaller: v or -6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -9*s**4 - 6*s**3 + 18 + 8*s + 14*s - 14*s**2 + 18 + 11*s**4 + 8*s = 0. What is s?\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*b + 4651*m + 224 = 4655*m, 0 = -5*b - 5*m + 55 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3621 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3010762748?\nAnswer: 2, 7, 4337, 24793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x - 5 + 13 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 407579527 to the nearest integer?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 7*k**2 - 131*k - 168. Calculate r(13).\nAnswer: -688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-3 + (1*sqrt(170)*4)\/(sqrt(160)*3))**2 + 0.\nAnswer: -2*sqrt(17) + 89\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**2 + 2*k + 1. Let x be 3\/2*(-46)\/69. Give j(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3 and -0.0343952.\nAnswer: -3.0343952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 - -18. Let x(r) = 15*r + 5. Let i be x(5). Suppose i = 2*k + 2*k. What is the smallest common multiple of k and d?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 3*l + 26 - 10 = 0, 4*l = -k - 14. Let q(g) = 2*g - 10. Let o be q(6). Let a(n) = -3 - n**3 + 4*n**o + 3 + 1 - 4*n - n**k. Give a(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 523*a**3 - 129*a**3 - 56*a - 130*a**3 - 129*a**3 - 131*a**3.\nAnswer: 4*a**3 - 56*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = 2*b + 1528, -14*m + 10*m + 3*b = -3053. Let q = -304 + m. What is the remainder when q is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -12473758 by 13829.\nAnswer: -902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from {w: 5, r: 3, n: 1, a: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 648 - 636. Let s be (8\/26)\/(k\/78). Calculate the greatest common factor of 226 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (22*(-15)\/(-4950))\/(5\/105).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the third derivative of -13*a**4\/12 + a**2 - 5*a. Let v(r) = r. Give n(v(m)).\nAnswer: -26*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**3 + 7*b**2 - 5*b - 5. Is 20 a factor of a(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -255359 or -255342?\nAnswer: -255359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 15599922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 11703256 to the power of 1\/2, to the nearest integer?\nAnswer: 3421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 - 1)*(2*j - 2*j - 2*j)*(7*j + 2*j + 6*j).\nAnswer: -90*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let 3844*h**5 + 2333556*h**4 + 353060492*h**3 - 332476292*h**2 - 22551936*h - 369664 = 0. What is h?\nAnswer: -304, -1\/31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*f - 12 - 0, 0 = -2*z + f + 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6486 divided by 6.\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -9*p - 6. Let q(z) = 13*z + 9. Let s(t) = -7*c(t) - 5*q(t). Calculate the remainder when 7 + (1\/(-1) - -2) is divided by s(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a factor of 72312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/(-7))\/(55\/(78 - 1233)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -152*t + 5*t**4 - 204*t**3 + 121*t + 30*t in the form b*t**3 + i*t**4 + s + q*t + z*t**2 and give b.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v + 92 + 8. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-24)*-3)\/((-9)\/42)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -527*s**2 - 1299*s. Let d(j) = 176*j**2 + 432*j. Let p(o) = -8*d(o) - 3*i(o). Find the second derivative of p(x) wrt x.\nAnswer: 346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4000190, -8000382, -12000572, -16000760?\nAnswer: -20000946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 16516 - -16487. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 667460179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 2*l + 137. Let f be r(-66). Let c(t) be the third derivative of 1\/120*t**6 - 8*t**2 + 0 - 1\/24*t**4 + 0*t - 1\/60*t**f + 1\/6*t**3. Factor c(i).\nAnswer: (i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.07  (b) 2  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5417 - -5419. Let v be ((-2 - -4) + -5)\/(-1). Let t = -3 + v. Solve -a*d - 2 = -t for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 480294.2, -5, 1, 3\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -63498.73926 - -63498. Let w = 0.23 + 0.51. Let k = w + x. Round k to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 61.69935 weeks to minutes.\nAnswer: 621929.448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 457 + -453. Calculate the remainder when h + (-42)\/9 - 412\/(-6) is divided by 59.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-1)\/(-2))\/(15\/(-18)). Let x = 6.1 - 3.3. Let h = x + 0.2. Which is the closest to -2\/5?  (a) -3  (b) g  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6*q*r**3 + 101114*q + 45918*r**3 wrt r.\nAnswer: -18*q*r**2 + 137754*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v - 5*v - 8 = 2*g, 4*g - v = -4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2636205 to the power of 1\/2, to the nearest integer?\nAnswer: 1624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -g - 63, -6*r + 3*r - 4*g + 47 = 0. Calculate the remainder when 22 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the first derivative of m**2\/2 + 12. Suppose -36 = -k - 2*k. What is the tens digit of p(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-18)\/(-45))\/((-2)\/10). Let d(r) = -47*r + 1. Let f be d(t). Suppose 0*b - b + 19 = 0. Calculate the highest common divisor of b and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1135324 (base 6) in base 9?\nAnswer: 100577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -93 + 118. What is the remainder when 74 is divided by m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (((-12)\/24)\/((-2)\/(-4)))\/(14\/4). What is the nearest to k in 2\/7, -4\/7, 1\/5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**2 + 7*g - 23. Determine u(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 199*j - 5*a - 38 = 193*j, -1 = j + a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4*z - 2*z - 4*z)*(1 + 2 - 2) + 9*z - 1 + 1)*(-4 - 1 + 6).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -59140220 divided by -1460\nAnswer: 40507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -687092 - -2367092. What is f rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1091, 1089, 1077, 1049, 999, 921, 809, 657?\n\"Answer: -n**3 + n**2 + 2*n + 1089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2648565 divided by -3.\nAnswer: 882855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (67\/(-134))\/(2\/(-6)*1). Which is the nearest to z?  (a) 4  (b) -30\/13  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 26.7606ng?\nAnswer: 0.0000267606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 18e773 (base 16) to base 12.\nAnswer: 668617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 32448 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1008866226?\nAnswer: 2, 3, 1217, 138163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19 + 20 - 13 = i - 4*m, -31*i - 2*m + 302 = 0 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11242403 (base 5) to base 10.\nAnswer: -102853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -32473+0.2\nAnswer: -32472.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -115 or 1\/34?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dasssgrrrrssm. What is prob of picking 1 s and 1 r?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 37 + (46 - 113) + 3.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**3 - g**2 + 7*g + 1. Let d(i) = -5*i**3 - 15*i**2 + 9*i - 12. Let r(k) = d(k) - 4*y(k). Calculate r(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 23871040 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 2 - 5)*(4*j - j - 2*j) + 1 - 1 + 2*j + 6573 - 7*j - 6573.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -11 - 4 + 14 - 5*f**2 - f**3 + 4*f**2 as b*f + h*f**2 + t + u*f**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 307751945 to the nearest integer?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/m**(-3\/7)*m*(m\/m**(-2\/7))\/m)\/(m**5*m\/m**4))**48 assuming m is positive.\nAnswer: m**(240\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -3*j + 21, 5*r + 0*j - 2*j + 21 = 0. What are the prime factors of r\/(-6) - 60\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -16486\/9 + 1838. Find the common denominator of (14\/(-24))\/((-1)\/(-14)) and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 2*n - 31 = 0, 5*y - n = 10*y - 28 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 284 = -4*m, 971*m = 5*i + 976*m - 715. What is the remainder when 983 is divided by i?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.3  (b) 1\/4  (c) -3  (d) -1\/8  (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a5a070 (base 13) to base 12.\nAnswer: -1370118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 16, r: 4}. What is prob of sequence cc?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in twenty-seven halves of a millennium?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 61 + 0 + -41 + -5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -125 and -34.32.\nAnswer: 4290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 12381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 13*g**2 + 161*g + 352. Determine s(-9).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9 by 395.\nAnswer: 9\/395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*g + 48 = -22. Let t(d) = -d + 2*d - 2*d + 5*d + 2. Let q(a) = a**2 - 5*a - 3. Let l(p) = 3*q(p) + 4*t(p). What is l(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s\/s**(-7)*s*s)**42 assuming s is positive.\nAnswer: s**462","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -81497294, -162994586, -244491878?\nAnswer: -325989170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n**5\/7 - 8*n**4\/7 + 4*n**3\/7 + 24*n**2\/7 - 18*n\/7 = 0 for n.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 88352654 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -7*w + 5 + 0*w**2 + w**2 + 3 - 7. Calculate u(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -3*r - 1, -3*q - 1349 = r. Let o = q - -1315. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -2*s**2 - 8*s - 12. Let n be x(-3). Let a(y) = y**3 + 6*y**2 - 3*y - 15. Determine a(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/10 and -91\/13960?\nAnswer: 13960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 627*n. Let v(f) = -96*f**2 + 7*f - 7. Let a(u) = 55*u**2 - 4*u + 4. Let l(i) = 7*a(i) + 4*v(i). What is l(x(y))?\nAnswer: 393129*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-12)\/(0\/(-3) - -1). Let t be (-6)\/(-9) - n\/9. Suppose -5*y + 0*d + 4*d + 233 = 0, 0 = -t*d + 6. What is the remainder when y is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 113753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00036242 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m**2\/3 - 17735*m\/3 - 652088 = 0.\nAnswer: -17624, -111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3293201)\/345144 - (171\/54)\/(-19). Let l = q - 2\/14381. What is the common denominator of l and 27\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.68629 litres to millilitres.\nAnswer: 686.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3 - -7)*-3*21\/(-36). Suppose -74448 = -w*z - 37*z. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the third derivative of 7*l**4\/4 - 5*l**3\/2 - 21*l**2. What is the tens digit of o(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**36*r*r*r**(18\/5) assuming r is positive.\nAnswer: r**(208\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -163201.1 * 8\nAnswer: -1305608.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**2 + 10*p + 17. Let q be i(-6). Let z(u) = 4*u**3 - 9*u**2 + 5*u - 10. Let m(g) = -4*g**3 + 8*g**2 - 4*g + 9. Calculate q*m(v) - 6*z(v).\nAnswer: 4*v**3 - 2*v**2 - 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the first derivative of -j**6\/6 + j**5\/5 + 82*j**4 - 750*j**3 - 4251. Find the third derivative of m(k) wrt k.\nAnswer: -60*k**2 + 24*k + 1968","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -345 - -1?\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 140041*s*u**2 - s*u + 3*u - 98 wrt u.\nAnswer: 280082*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -17267\/3652 - 45\/332. Calculate the common denominator of d and 47\/132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 432180787.\nAnswer: 23, 457, 41117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-14933)\/(((-1)\/(-8))\/(((-270)\/(-80))\/(-27)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -12a66a98 + 1?\nAnswer: -12a66a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*t**3 - 231*t**2 - 1746*t - 1512.\nAnswer: 3*(t - 84)*(t + 1)*(t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -96545 divided by 5\nAnswer: -19309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-60)\/7)\/2*(50 + -57). Solve 6*k = 5*m + k - o, -4 = -2*m - 2*k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.4 - -0.21. Let l = o - -1.99. What is l rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6)\/(-39) - 48\/(-26). Solve -5*l + 12 = -y*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -71212 times 0.84\nAnswer: -59818.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sum 8663306 and -109.\nAnswer: 8663197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-2 - 2) + 4 - -8) + 2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b + 212 - 28. Calculate the remainder when b is divided by (605\/33)\/5*3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-72)\/(-21) + (-12)\/(-21). Suppose -56 = r*c - 324. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 4*n + 1. Let y(h) = -3*h - 1. Let m(o) = 4*d(o) + 3*y(o). Let z be m(2). Factor 5*a**3 - 1 - z*a**2 + 16*a**3 - 6*a + 1.\nAnswer: 3*a*(a - 1)*(7*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -118 - 170. Is 36 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 15 + 112403?\nAnswer: 112421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*l**2 + 3*l**2 - 2*l**2 + (-l + 5*l - 6*l)*(4*l - l - 5*l) + 18*l**2 - 19 + 19.\nAnswer: 25*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x**3 - 3*x**2 + 62*x + 348. Let j be y(-6). Calculate the greatest common factor of 2592 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1867 (base 9) in base 4?\nAnswer: -112132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**4 + 6578*b**3 + 98970*b**2 + 495350*b + 826000.\nAnswer: -2*(b - 3304)*(b + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8800.034m to centimeters.\nAnswer: 880003.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 106 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(153)*-5 + -2)**2 - (-6*(2 + sqrt(17))**2 + -2 + sqrt(17)*4).\nAnswer: -15188 - 220*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Is -11\/79384 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 + -101001001101001001?\nAnswer: -101001001101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the first derivative of -48*c**5\/5 - c**4\/4 + 2*c**3\/3 + 11*c - 65. What is the third derivative of m(q) wrt q?\nAnswer: -1152*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 328093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*r - 6*c - 234, -2*r + 7*r - 11*c - 121 = -12*c - 407 for r.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16 + ((-18)\/(-4))\/(4\/(-56))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6 or 22668\/3787?\nAnswer: 22668\/3787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times -232732?\nAnswer: 930928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/15, 0.06, 0.5, 5\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -20 - -6b19a?\nAnswer: 6b17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -139\/72480276 and -133\/110.\nAnswer: 362401380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*g + 211 = -51*g - 21 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the third derivative of y**4\/24 - 5*y**3\/6 - 4*y**2. Let h be d(3). Which is the closest to 1\/2?  (a) -3  (b) -4  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 39 = 359. Let t = -37 + 43. Let f be (-32)\/(-6)*t\/4. Calculate the greatest common factor of f and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z + z + 4. Suppose z*q - 45 = -q. What is the least common multiple of 1 + q + (3 - 1) and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h - 709*y = -712*y - 29, 0*h + 4*h - 2*y + 14 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -90*a**2 + 12*a - 17. Determine l(4).\nAnswer: -1409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*x - 5*x - 3*x + (1 - 2 + 3)*(4*x - 3*x + 0*x) - x + 2*x + x + x + 0*x + x + (0 + 1 + 0)*(3*x + 4*x - 5*x))*(2 - 5 + 1)*(-3 - 2 + 2).\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 96.\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 28572 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 20867*z**2. Let t(y) = -2*y**2. What is t(j(n))?\nAnswer: -870863378*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 minus 69.94?\nAnswer: -70.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**3 + 3*b + 3. Suppose 75 = -5*p + 5*j, 3*p + j + 2*j + 27 = 0. Let u(z) = -z**3 + z + 1. Give p*u(q) + 4*a(q).\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, 68525, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1211 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1951*v + 1953*v + 4*g = 2, 5*g = -3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 133*w**2 + 5*w - 15. Let c(k) = -265*k**2 - 11*k + 34. Determine 9*a(t) + 4*c(t).\nAnswer: 137*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.4 in 17, -3\/2, -15.46?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the first derivative of p**2\/2 + 7*p + 1. Let k be i(-3). Suppose -2*y + 0 = -k. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 (base 6) in base 10?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does -1 = -30\/617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 53092821?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1493348474 to the nearest integer?\nAnswer: 38644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.00438 - -145.99562. What is the second smallest value in -6\/13, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-2)*w)**(7\/11)*w**(-18)\/w**7 assuming w is positive.\nAnswer: w**(-282\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1366)\/8220*-3 - (-2)\/(-4). Which is greater: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4997 + 4999. What is the nearest to b in -5, -30, -2\/7, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lg when two letters picked without replacement from {l: 4, g: 2, c: 6}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*s = -65 - 235 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38494 is divided by 326?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in -3, 2.66, 0.1, -1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6030 = -146*f + 143*f. Let b = 22062\/11 + f. Calculate the common denominator of b and 25\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -90*f**2 - 13*f + 21. Give o(2).\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 746*d**2 + d**3 + 6*d**3 - 374*d**2 - 371*d**2 + d**3 in the form v*d**3 + y + n*d**2 + s*d and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 163972*a - 1475752. What is h(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**3 + 7*a**2 + 7*a + 7. Let i be k(8). Let n be i*(3 - (2 + -3)). Let y be (-4)\/3*(-9)\/(-2). Is y equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 2 = 4. Let z(n) = 3 + 0 - v + 0 + 2*n + n**2. What is the tens digit of z(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -73 - (80 + -142) - (-1 - (67 + 2)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 22*r**2 + r. What is p(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-3)*(-3)\/2. Let g be ((-1)\/2)\/(1\/j). Suppose 4881 = -12*p + 4917. Put g, p, 6, 0 in descending order.\nAnswer: 6, p, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*o + 1623 + 1897 = 28*o for o.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 42\/63*(-2)\/6 - (-134512)\/72 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 29.51 - 31.3. Let v = o + 0.79. Which is the smallest value?  (a) -2\/7  (b) -1\/6  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10539.\nAnswer: 3, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -16*g**4 - 4*g**3 - 1. Let z(u) = 49*u**4 + 11*u**3 + 3. Let x(p) = 11*r(p) + 4*z(p). Differentiate x(f) with respect to f.\nAnswer: 80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -24 < -702\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 39542357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v\/v**(1\/9))\/v*v**(-1\/2))\/(v**4)**18)**23 assuming v is positive.\nAnswer: v**(-30061\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve a = -5, 4*p = -7*a + 6*a - 21 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1865*c - 1469*c = -652*c + 51352 for c.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2 - (-10)\/6)*3. Let v = -1808 - -12678\/7. Let o = v + -124\/35. What is the nearest to o in c, -2, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 6 = m. Let w be 6*(m\/6)\/1. Let s = w - -1. Is s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2288224?\nAnswer: 2, 23, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:26 PM and 2:35 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -143\/2058 and -121\/2056572?\nAnswer: 100772028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*p**4 - 2484*p**3 + 20000*p**2 = 0. Calculate p.\nAnswer: -1250, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -31599 + 53150. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g + u = -2, 0 = 5*g + 4*u - 2347 + 2301 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-14160)\/(-3))\/(190\/(-38) - 81\/(-15)) is divided by 319.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a kilometer in meters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -101111 - 23222?\nAnswer: -130333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 17135 - 17119. Suppose 5*y = k - 12 - 60, -4*y + 244 = 5*k. Calculate the remainder when k is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1030 - 1030 + 9*z**3.\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 404198 to the power of 1\/2, to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*q - 3*q + 3*q - 4*q to k + x*q and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(-2)\/l)**36)**(3\/16))**(37\/5) assuming l is positive.\nAnswer: l**(-2997\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8670 divided by -6.\nAnswer: -1445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13, -103, -315, -629, -1051?\nAnswer: -1587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2 + 2*x - 4. Let p be j(-6). Let i be ((-3)\/(-5))\/(2\/p). Let d(s) = s**3 - 6*s**2 - s + 7. What is the remainder when 1 is divided by d(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 9*b**2 + 4*b. Let t(l) = 14*l**2 - 5*l. Let n(c) = 5*c**2 - c. Let f(p) = -10*n(p) + 3*t(p). Give 4*f(j) + 5*u(j).\nAnswer: 13*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 8688282647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by 3264413.\nAnswer: -5\/3264413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.742 - 0.078. What is c rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {f: 1, h: 2, v: 2, i: 4, b: 7}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*z = -12*z + 18. Let g(o) = 3*o**2 - 3*o - 4. Let b be g(z). Suppose b = 5*r + 7. Solve y = -5*w - r, 8 = -w + y + 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2014 and 1484.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*w - 4*z, -w - 3*z + 0*z + 5 = 0. Suppose -4*b = 2*x - 1270, 4*b - 1272 = -2*x + w*b. List the prime factors of x.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -60*r - 9\/2*r**2 + 0 + 3\/2*r**3.\nAnswer: 3*r*(r - 8)*(r + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9378273 and 1194.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4276 and 292?\nAnswer: 312148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 9*r + 1. Let u(b) = b**2 + b + 2. Let q be u(-2). Let a be ((-6)\/24)\/((-1)\/q). What is the tens digit of h(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.022 times 44329\nAnswer: 975.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -7, 1\/4, -51?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00007438765 to 6 decimal places.\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-l**2 + 0*l**2 - l**2)*(6*l - 5*l + l) + 1525*l - 1525*l + 19*l**3)*(4 + l - 4 + (-l + 3*l - l)*(-3 + 4 + 0)).\nAnswer: 30*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 97, 99, 101, 103?\n\"Answer: 2*j + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -444 - -446. Differentiate -73 + 436*h**m - 870*h**2 - 2*h + 452*h**2 with respect to h.\nAnswer: 36*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*r**2 - 3*r**2 - r**2 + (1 - 4 + 1)*(5*r + 5*r**2 - 5*r) + (-24 + 2 - 8)*(-r**2 + 0*r**2 - r**2).\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - 15, -3*y + 3*f = 2*f. Which is the closest to 0.1?  (a) -6  (b) -5  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -21*s**3 - 48*s**2 - 103*s - 58. Calculate m(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 7, 109, 34, 0, -3\/5.\nAnswer: -3\/5, 0, 0.4, 7, 34, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 4  (b) -1\/3  (c) -8.268\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.26 + -0.15. Let q = 10.11 - x. Let h = q + -9.99983. What is h rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 3, k: 2, p: 2, u: 2}. What is prob of picking 2 k and 1 p?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from {a: 1, t: 1, n: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -772746 (base 8) to base 12.\nAnswer: -10625a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vmxxvvmmooxmvox. What is prob of sequence omx?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-27)\/(-1)*(-20)\/(-6480)*12\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17*n**2 + 9*n - 33*n**2 + 1 - 11*n)*(-93 - 82 + 210).\nAnswer: -560*n**2 - 70*n + 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aavv when four letters picked without replacement from aaaaaaaaaavvaaaaaaa.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 7*h**2 + 4. Let c be (-4 - (0 + (-1 - 3)))\/(-2). Let r(n) = -n**3 - 9*n**2 + 9*n - 5. Calculate the smallest common multiple of j(c) and r(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 29 + -17. Let w(u) = -12 + h + u. Let b(l) = 2*l. Give b(w(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15 - (4 + -4)) + (-677 - -679).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*k - 2*k - 9*k - 2*k + 0 + 0 + (4 - 4 - 1)*(2*k - 1 + 1).\nAnswer: -21*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**3 - o**2 - 6. Let m be z(3). Let -m - 3\/4*v**2 - 6*v = 0. What is v?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes after 6:07 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 44329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25534 divided by -8037.\nAnswer: 25534\/8037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 80*o + 7. Let u be t(5). What is the third derivative of -407 - y**2 + 26*y**5 + u + 14*y**2 wrt y?\nAnswer: 1560*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 28 = 10. What is the greatest common divisor of u and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (-10 - -2) - (-33 + 11 + -9)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24901 divided by -1.\nAnswer: 24901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12768 and 228?\nAnswer: 12768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 35*a**3 - 49. Let p(u) = -3*u**3 + 4. Give 49*p(l) + 4*s(l).\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 50 + -56. Let q = -6.3 - y. Which is greater: -2\/13 or q?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4.099 + -4.09901399. What is k rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 19.276 + 0.724. What is the fourth biggest value in k, -3\/4, -0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) -1\/4  (b) -0.1  (c) 4\/7  (d) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:57 AM and 6:04 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is z in -z**3 - 36*z**2 = 0?\nAnswer: -36, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {t: 2, f: 6, n: 5}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n - 10 = 2*r, 5*n + 6*r = 5*r - 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8906?\nAnswer: 2, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15820 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 264578400 rounded to the nearest 1000000?\nAnswer: 265000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 54 = -b + 296, -344 = -b - 2*z. Let r = 631 - b. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 132\/5, 2, 46, -3.\nAnswer: -3, -1, 2, 132\/5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3153\/7 or 451?\nAnswer: 3153\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.44 - 61.44. Let t = -61.00328 - a. What is t rounded to 4 dps?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -256 + 260.38. Round c to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 1 = -7. Let 0 + 0*p**i + 0*p + 1\/4*p**4 - 1\/4*p**2 = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 133288 is divided by 50?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 12651 at least 12241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a meter in millimeters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 31*v - 29*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lv when two letters picked without replacement from vvyyyvuvlllylyvlv?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 273985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*v - 5 = 6*v. Let t be (8\/(-4) + 2)*v. Let b = 0 - -1. Sort t, 4, b.\nAnswer: t, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 31142 + -31071. Solve 0 = -k*d - 414 + 130 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-1))\/((-2)\/(-5)*105\/336)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 6*v**2 + 118*v + 482. Give q(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -32254907, -64509811, -96764715, -129019619, -161274523, -193529427?\nAnswer: -225784331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5554*j = 11090*j - 5584*j - 1776 for j.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y + 2*m + 8 = 3*y, -y + 2*m = -4. Suppose 71 - 333 = -y*z. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 50373562?\nAnswer: 2, 25186781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -31339.928038 + -2\nAnswer: -31341.928038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 11629 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 2 r when four letters picked without replacement from gggggggrrgg.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 340373 is divided by 102?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*t**2 - 5*t**2 - 42*t**2)*((-4 + 3 + 2)*(-1 + 1 + 2) - 1 - 1 + 3).\nAnswer: -123*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -11  (b) -7  (c) -5  (d) 157  (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v - 5*d + 27, -3*v + 2*d = -63 - 1. Suppose -3*p = -12, 0 = 2*s + 2*p - v. Solve 22 = 3*g + s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3\/4  (b) -6  (c) -10.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*g - 7*g + h - 9, 3*h - 9 = -3*g. Let t(d) = -d**3 + 7*d**2 - 7*d + 9. Let q be t(6). Solve g*c = q*f + 12, 4*f = 3*c - 13 - 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 306753217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -2\/513, 66, 0.5, 26?\nAnswer: -2\/513","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**3 - 3*q**2 + 5*q + 32. List the prime factors of x(-9).\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -5445044*w**2 + 27225196*w + 120 = 0.\nAnswer: -6\/1361261, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**2 - 2*t - 6. Calculate y(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + 5 + -25 + 13 - (-1 + 5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 988\/52 + (-9)\/18*44?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4 + -7. Let d = p - -6. Let l be ((-4)\/(-56))\/(d\/2). Is l at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -141  (b) 0.4  (c) 71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 36605, 36565, 36525, 36485, 36445?\nAnswer: 36405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 25.4 + -25. Let y = -3.4 - -5.4. Sort -2, 4, z, y.\nAnswer: -2, z, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 133503 is divided by 133500.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 minutes after 7:01 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3783622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*h**4 + 264*h**3 + 1108*h**2 + 840*h.\nAnswer: -4*h*(h - 70)*(h + 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (25\/(-15))\/((-6)\/(-18))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/3*0 + 9. Find the first derivative of 6 + 13*z**4 - u*z**4 - z**4 - 5*z**4 wrt z.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 417555 - 959755. Round x to the nearest 10000.\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11 + 6. What is the tens digit of (-3 - 175\/r) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -16, 2\/5, -2\/153, -0.08, -2\/179?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8425409?\nAnswer: 1481, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 2*q = 78, 0 = 77*o - 75*o - 3*q + 77. What is the hundreds digit of (-3622)\/(-10) + 8\/o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-4) + 5\/10. Suppose 0 = 5*c - d + 10137238, w = -4*d + 7*d - 9. Let a = -3317447 - c. What is a rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 63 is divided by 59.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 8\/3 of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15)\/((-11)\/11)*(-2)\/11.\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1804*u**2 + 9*u**3 - 6*u**3 - 7*u**3.\nAnswer: -4*u**3 - 1804*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 274 and 116?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -p - 50. Suppose 84 = 3*s - 2*r + p, -4*s + 67 = -5*r. What is the first derivative of 19*j - s*j + 0 - 5 + 4 wrt j?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 114521\/20 - 5720. Let g = 18\/19 + -557\/608. Find the common denominator of m and g.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2540, -2187, -1820, -1433, -1020, -575?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the first derivative of 14 - 11*o - 7\/4*o**4 + 0*o**3 + 0*o**2. Find the first derivative of p(j) wrt j.\nAnswer: -21*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -551179.64 and 0.1?\nAnswer: 551179.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 3 - 1)*(-270*z - 69 + 69) as d + g*z and give g.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -2*v**2 + 15*v + 32. Let p(z) = z**2 - 8*z - 16. Let l(b) = -6*c(b) - 13*p(b). What are the prime factors of l(12)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 102 is divided by 30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -147456\/5 - 1\/5*u**2 - 768\/5*u.\nAnswer: -(u + 384)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1004 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3211 and 2314?\nAnswer: 571558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 2*k + 20 = 0, -4*k + 16 = g - 7*k. Suppose c - g = -2. Let u be -12 + 6 - -7 - (0 + -4). Calculate the greatest common factor of c and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -38176 or -38364?\nAnswer: -38176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/((-294)\/(-35))*2\/5)\/((-394)\/(-14184)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(104)\/(-2*sqrt(8) - sqrt(8)) + -4)*3)**2.\nAnswer: 24*sqrt(13) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -797, -2070, -3367, -4700, -6081, -7522?\nAnswer: -9035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4769?\nAnswer: 19, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -2*n**2. Let i(d) = -d**2 + 25*d + 30. Let v be i(22). Let x = -96 + v. Let o(z) = x*z - 10*z - 4*z - z. Calculate y(o(u)).\nAnswer: -450*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**3 + 4*t**2 - 4*t - 1. Let c be f(3). Let n = -2360 - -2363. Sort n, c, -5, -1 in decreasing order.\nAnswer: n, -1, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 83771\/70 smaller than 1197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = -13*z + 101. Suppose 0 = -2*s - 6, 0 = -0*u - 3*u - z*s + 102. What is the remainder when u is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9368 and 1000096?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 54555 + -322?\nAnswer: 54233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 332892 to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15 + -10. Suppose m*v - 1 = -3*t, -4*v + 5*t + 23 = -0*v. Solve -v*n + 3 = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*f + 2 - 2)*(-2*f + 3 - 3) + 4*f**2 - f**2 - f**2 + 113*f**2 + 2*f + 130*f**2 - 16 - 251*f**2 to l*f + d + s*f**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -3026261 greater than -3026263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*(1364\/264 - -5) - 37?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**3 - 6*c**2 - 3*c - 12. Suppose 0 = 16*v - 14*v - 130. Calculate the remainder when v is divided by i(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -20*l + 3. Let c be i(-3). Suppose -6*w + 3*w - 3*k - 144 = 0, 5*w + 228 = -2*k. Let t = w + c. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7416 + 7504. Calculate the lowest common multiple of 144 and b.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:52 AM and 6:17 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.5 + -1. Let j = 1573.6 - 1573.09998. Let i = t + j. What is i rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -49 + 76. Let b be (-1)\/(-1) + -1 + j. Let z = b + 4. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1100, -1108, -1108, -1094, -1060, -1000, -908, -778?\n\"Answer: i**3 - 2*i**2 - 9*i - 1090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -3*z + 10*z**2 + 4448 - 4449 + z. Let l be v(-1). Calculate the greatest common divisor of l and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 396 and 92952.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-17645)\/10)\/(13\/2600). Round a to the nearest 10000.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8463084?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hzz when three letters picked without replacement from zhzzzzzzzzzzzzzzzzz.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:39 AM and 9:48 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6963626 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -285*a**4 + 196*a?\nAnswer: -3420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -866.141 rounded to the nearest 10?\nAnswer: -870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:10 PM and 11:43 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -32 + 92\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7083, 1, -1\/18, 523, 0.1.\nAnswer: -7083, -1\/18, 0.1, 1, 523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = 2*w + 1. Let m(z) = -z**3 + 4*z**2 - 5*z - 3. Let a(b) = -9*b + 597*b**3 - 5 + 0 + 7*b**2 - 1197*b**3 + 599*b**3. Calculate w*m(v) + 4*a(v).\nAnswer: 3*v**3 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 44 and 85096.\nAnswer: 85096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -2860049211+-0.5\nAnswer: -2860049211.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -22570 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 1799\/(-357) - 484\/(-12342).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = -2*t - 0*t - 25, -22 = q + 5*t. Let y(f) = -f**3 + 3*f**2 - 2*f + 1. Let b be y(3). Sort q, 5, b in decreasing order.\nAnswer: 5, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-5))\/n**(-3\/5)*(n*(n\/(n\/(n\/(n**(-1\/4)*n))))\/n)\/(n\/(n**(-1)\/n)) assuming n is positive.\nAnswer: n**(-123\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 70 = -5*h, 8 - 11 = -3*h. Factor 21*v + v + 5*v**2 + j + 67 + 18*v.\nAnswer: 5*(v + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -1, 94, 1 in decreasing order.\nAnswer: 94, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - f = -14, -5*u + u + 62 = 2*f. Suppose 5*i - 5*y = 260, i + 2*y - 20 = u. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 38 - 22 + 20*z**2 - 15*z**3 - 16 - 5*z**4.\nAnswer: -5*z**2*(z - 1)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 31104812 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*w**4 + 0*w**4 - 3*w + 0*w**2 - 25*w**3 + 3*w**2 - 25*w**3 + 53*w**3.\nAnswer: -3*w*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9 + -3. Sort 3\/4, 0, d in descending order.\nAnswer: d, 3\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**2 - 4\/3 - 2*u + 4\/3*u**3.\nAnswer: 2*(u - 1)*(u + 2)*(2*u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -21\/26485877 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 12 + -1 + -6 - -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 5*x + 89 = 0, x + 55 = -z + 3*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5.8 - 3.4. Let k = i + 39.6. Let v = -44 + k. Which is the second smallest value?  (a) 6  (b) -0.6  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**3 - 15*f**2 - 9*f + 8. Let x be u(15). What is the common denominator of x\/(-6) + 4\/(-3) and 73\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20420167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/(-2 + 5)*(-12)\/(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -242 greater than 524933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38142.\nAnswer: 2, 3, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2.5 + 0.5. Let j = -6.4 + 6. Which is the second smallest value?  (a) p  (b) j  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -160393, -160456, -160511, -160558?\nAnswer: -160597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-36)\/27)\/(1\/(-6)). Let t = -5 + i. Differentiate -5 + t + 0 + a + a wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*s - 23 + 7 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*l + 41*l = -91 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*c = -813225*o + 813221*o + 84, -93 = -22*o - 3*c for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12424403?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the second derivative of y**4\/12 - 1711*y**3\/6 + 3989*y**2\/2 - 3152*y. Differentiate s(k) wrt k.\nAnswer: 2*k - 1711","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y = a + 4, 0 = 3*a + 5*y - 16 + 11 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v. Let c(m) = 11*m - 47*m + 11*m + 6*m - 1 + 9*m. Give -c(i) + 3*r(i).\nAnswer: 13*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 + 4.6. Let u = -122.355 + 0.355. Let k = 120 + u. What is the biggest value in -8, k, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xouccucmmuccoccooco. Give prob of sequence mox.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -266 + 3988\/15. Let j = -0.186 + 0.186. Which is the second biggest value?  (a) j  (b) 2\/3  (c) 2\/5  (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from adadamaaaadamiadmmah. Give prob of picking 1 a and 1 i.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*k + 11*k = -8*k + 1596 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -83544 by 4.\nAnswer: -20886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 334750*y**4 - 411*y - 483225752 wrt y?\nAnswer: 1339000*y**3 - 411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/9 - (-124)\/12. Let s(b) be the first derivative of 2*b**3\/3 - 4*b**2 + 5*b - 47. Calculate the remainder when s(h) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -3, 75, 5, 50 in descending order.\nAnswer: 75, 50, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 4160507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*v = 13*v. Suppose -4*r + 360 = -4*t, 4*r - t = -v*t + 369. Let c = -44 + r. Calculate the remainder when c is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 42614 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 4, t: 2, p: 7}. Give prob of sequence vvvt.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**3 - 25*c**2 + 48*c - 44. Let w be j(23). What is the second derivative of -6*n**2 + 76*n - w*n**3 - 147*n + 55*n wrt n?\nAnswer: -12*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -86 + 26. Let k be (-200)\/d*(-3)\/2. Let a(j) = j**2 + 6*j - 1. What is a(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -153 + 155. Let t(g) = -1305*g + 3*g**m + 1305*g. Let c(u) be the third derivative of -2*u**4\/3 - u**2. Calculate t(c(l)).\nAnswer: 768*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xpbtbpbmputbtbp. Give prob of picking 1 m, 1 b, and 1 x.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*d + d - 2*g + 5, d - 4*g = 1. Let p = d + -4. Let a be (-8)\/p + (-4)\/(-12). Solve -a*o + 9 = -0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -7*a - 2. What is the remainder when m(-4) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 76 + -54. Suppose -118 = 5*a - 33. Let w be (2 + 4 + a)\/((-1)\/4). What is the highest common divisor of w and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-10) - -28*(-2)\/(-40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/35  (b) 4\/3  (c) 1\/99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.6 * 191819\nAnswer: 115091.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = u - 0*b - 16, 4*u = b - 21. Suppose -2*n - 20 = 2. Suppose -18*d + 5*c - 3 = -17*d, 2*d = -2*c + 6. Sort u, d, 0, n in ascending order.\nAnswer: n, u, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30\/(-90))\/((-2)\/2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*v + 56248*v**2 + v**3 - 56248*v**2 - 20*v + 5*v**3.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.1 + -0.11. Let b = 4.01 + s. Let g = -0.03 - 0.47. Put b, g, 3\/7 in increasing order.\nAnswer: g, 3\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 + -4)*-1 - 0. Let s = 6 - x. Let t = s + -3. Solve t - 4 = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 376\/62 + (-1 + (-5)\/(-15))*9?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16 + (8 - (-12 - -12))\/((-172)\/(-1462)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -23557 or -117783\/5?\nAnswer: -23557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 216, 437, 658?\nAnswer: 879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10 + 6. Let z = 12 - 7. Which is the closest to -2?  (a) z  (b) 1  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 147740*v**5 + v**4 + 25*v**2 - 24704868*v wrt v.\nAnswer: 2954800*v**3 + 12*v**2 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 1711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 301624397 to the power of 1\/3, to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 10*x**2 + 11*x - 10. What is the tens digit of n(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(17)*-3 - (sqrt(17) - (sqrt(153)*3)\/sqrt(9)))**2.\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x*x**(-2\/55)))\/(x\/(x**9\/x)))\/(x*x**20*x**(-17)) assuming x is positive.\nAnswer: x**(167\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 636600 and 700?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Total of -3372 and 97472878.\nAnswer: 97469506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -102113 + 3?\nAnswer: -102110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 24748 and 353188.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 divided by 3111?\nAnswer: -32\/3111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 9 = -2*i + 5*g, -3*g + 1 = -2*i. Let z be (3\/(-18))\/((-6)\/i). What is the smallest value in 5, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 635 and 762.\nAnswer: 3810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 + -7. Suppose g*a = -5*a + 285. Does 19 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1864126?\nAnswer: 2, 11, 7703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*i + 4*i + 11*i + 0*i.\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*t + 7525 + 7581 - 15197 to l*t + c and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t + 5. Let q be n(-5). Suppose q = -2*l + 4*k + 45 - 15, -2*l - 3*k - 5 = 0. Solve 0*a = -a + 5*m + 7, l*a = 4*m - 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 368324213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 504280170 is divided by 206?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10 - 6. Suppose 5 = -2*c + 3*i - 0, 2*i = 4*c + 22. Let o = c - -9. Solve d*r = 8*r + o*t + 8, -3*r + 4*t - 17 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (44*r - 15*r + 3*r)*(4 + 0 + 0)*(-42*r + 3*r + 7*r) in the form g*r**2 + u*r + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 68 - 58. Solve 2*w - g = -4*v, 3*w = -5*v + 16 - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 2*s - 2. Let h be 5\/30*28 - 4\/(-12). Suppose -5*o = -3 - 7. Suppose o + 1 = z + u, -2*z = h*u - 3. Determine t(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1140994663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w - 4. Let r be y(-4). Let m be 2\/(-5) + 36\/15. Suppose -5*g - 50 = 2*a - 3*a, m*a - 4*g - 106 = r. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 118004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the second derivative of 9*w**4\/4 + 3*w**3 - 5*w**2 + 10*w. Is o(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 212\/12 + 2\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2061436 or 2060899?\nAnswer: 2061436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1388.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 w when two letters picked without replacement from qjqwqjjzzzqzwzj?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 21 - 21. Let y(d) be the first derivative of -2\/5*d**5 + 0*d**4 - 2\/3*d**3 + 0*d**2 + 2 + u*d. What is the third derivative of y(v) wrt v?\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 3*t**2 + 2. Let s = 3576 + -3573. Let y(c) = -1. What is s*b(a) + 6*y(a)?\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p - 3516 - p + 2*p - 3*p**2 + 3523. Let g(c) = 3*c**2 - c - 6. What is -3*f(y) - 4*g(y)?\nAnswer: -3*y**2 - 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes after 6:52 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -w - 20. Suppose v = 0, -b - v + 42 = -w*v. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -716 + 764. Calculate the highest common divisor of y and 1440.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**3 + 6*y**2 + 5*y + 2. Let c be q(-5). Let z be ((-3)\/c)\/((-1)\/2). Let s be z\/4 - 1002\/(-8). Calculate the highest common divisor of 18 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2642 + -2642. Solve -5*p = -4*j - m*p + 26, 4*j + 4*p - 8 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 269 is divided by 36?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 4*j + 8 = 0. Let c(p) = 7*p**2 - j*p + 0*p**2 + 10*p**2 + 3*p. Is c(1) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2.4 - -1.6. Let a = -0.01 + 0.16. Let h = 0.35 + a. What is the third smallest value in h, 6, p, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 3*f - 55. Suppose 4*s = -8 + f. Which is bigger: s or 13\/3?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 889 = -8*n. Let x = -64 - n. Suppose -66*t = -x*t - 174. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 117 - 73. Let v = 50 - 33. Let a = 6 + v. What is the remainder when x is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0\/(-2) - 36\/2. Let x(t) = t**2 + 15*t - 15. Let w be x(v). Suppose -275 = -5*g - 5*h, -181 = -4*g + h + w. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the second derivative of w**8\/560 + w**5\/40 - 2*w**3\/3 - w. Let c(f) be the second derivative of z(f). What is the second derivative of c(u) wrt u?\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10\/(-35))\/((-945)\/(-147))*10\/(-8)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 19*o**2 - 215*o - 8. Let s(g) = -5*g**2 + 54*g + 2. Determine -15*s(k) - 4*x(k).\nAnswer: -k**2 + 50*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 156825 = 17*x - 111622. List the prime factors of x.\nAnswer: 15791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -25  (b) 2\/39  (c) 60\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 3*n = 12. Let k(v) = v**3 - 5*v**2 + 4*v + 1. What is the units digit of k(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1671193 and 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1032168 divided by 8\nAnswer: -129021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/53?  (a) -3  (b) -4  (c) -2  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.1  (b) -2\/7  (c) 21903\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 192828.6147 to the nearest 10.\nAnswer: 192830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-15)\/(-10) - -2) + 3\/6. Suppose 0 = -k*n + 94 - 10. Calculate the common denominator of 67\/3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1000 (base 3) in base 11?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10070 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d**3 - 4*d**2 + 5*d. Suppose 0 = -2*r + 16 + 6. Calculate the remainder when r is divided by x(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18)\/189*(-931)\/399.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 9*w + 2. Let u(p) = -49*p - 9. Let k(z) = 11*l(z) + 2*u(z). Let q(j) = -j**2 - 4*j - 13. Give -7*k(h) - 2*q(h).\nAnswer: 2*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**2\/5 + 3856*h + 3195778\/5.\nAnswer: -2*(h - 9803)*(h + 163)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.613 + 1.234. Let v = 0.021 - d. Suppose -1 = 3*t - 10. Sort 4\/3, t, v.\nAnswer: v, 4\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3041, -6083, -9125, -12167, -15209?\nAnswer: -18251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -a + 4. Solve -a*z = -4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(24)\/sqrt(3)*-2)\/(sqrt(324)*1).\nAnswer: -2*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 277 + -132. Is 29 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**3 - 9*d**2 + 6. What is y(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2.8 - 2.9. Let m be ((-1)\/1)\/((-5)\/1069). Let q = m + -213. Which is the third smallest value?  (a) g  (b) q  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**3 - f**2 + f. Let b(u) = 4*u**3 - u**2 + u - 1. Determine b(s) - y(s).\nAnswer: 3*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1097 + -4401\/4. Let o = 7141\/14 + -518. Calculate the common denominator of p and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 1465*l + 20508. Calculate p(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-23)\/((-345)\/(-618))*(-300)\/280*(-7)\/3\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 30\/135 + 964\/522 + -2. What is the fourth smallest value in -3\/2, 0, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*m + 12*m + 0 + 0.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -92*b**3 - 3*b**2 - 3*b - 3. Let x(c) = 9844*c**3 + 322*c**2 + 322*c + 322. Calculate -322*v(o) - 3*x(o).\nAnswer: 92*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 6651442 (base 7) to base 8\nAnswer: 3100156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.181349 and -1.2.\nAnswer: -1.018651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s + n + 1118, 3*n - 333 = 3*s + 345. Let z = -126 - s. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 1512*k**2 - 3*k + 2. Is s(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the second derivative of 0*s**2 - 21\/20*s**5 + 0*s**4 - 46*s - 11\/6*s**3 + 1. Find the second derivative of r(v) wrt v.\nAnswer: -126*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -22, 260, -1, 118.\nAnswer: -22, -1, 118, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.0645 and 0.16.\nAnswer: 0.0955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -9 - 3*h**2 - 17*h**3 - 13*h**3 - h + 31*h**3. Let r be b(4). Which is bigger: r or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = 5*y - 9640, -5*i = -26*y + 22*y - 12050. What are the prime factors of i?\nAnswer: 2, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3831.2868 to the nearest 100.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -22 + 47. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 739364735 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17*-851354.\nAnswer: 14473018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ka when two letters picked without replacement from katqqkvvx?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the second derivative of b**5\/20 + b**4\/2 - 7*b**3\/3 + 2*b**2 + 9*b. Let x be q(-8). List the prime factors of -1 + (-818)\/x + 19\/(-114).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from liuulm. What is prob of sequence iul?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 + -210230152?\nAnswer: -210230144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 16 - -2. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 divided by 3199157\nAnswer: 10\/3199157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -117 - -116 - (5 - -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -1\/4532, -5, 2276?\nAnswer: -1\/4532","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the third derivative of w**6\/60 - w**4\/24 + 67*w**3\/2 - 207*w**2. Let b(o) be the first derivative of a(o). Let y(p) = p. Calculate y(b(i)).\nAnswer: 6*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -7*f - 126. Let x(u) = 15*u + 248. Calculate 6*x(t) + 13*y(t).\nAnswer: -t - 150","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-7)\/t*t*(t\/t**3)\/t)**22\/((t**(2\/5))**(-14\/3))**(3\/25) assuming t is positive.\nAnswer: t**(-27472\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6*7*18\/(-2079).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 113\/336 and 131\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 102 a factor of 7480884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 101 - 72*h**3 - 8 - 1 - 92.\nAnswer: -72*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -142 (base 13) to base 8\nAnswer: -337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 20 - f - 193*f**2 + 12*f - 4*f**2 - 24. Let r be v(-8). What is r rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (-4 + (-5 - -5) - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the second derivative of 0 - 1\/3*r**3 + 0*r**2 + r. Let f(y) = 2*y + 4. Let p(v) = 5*v + 9. Let j(x) = -9*f(x) + 4*p(x). Calculate j(s(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 110011111011 (base 2) in base 7?\nAnswer: 12455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 85\/58 + 1\/29. Determine b, given that -1\/2*b - 3\/2*b**2 + y + 1\/2*b**3 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 726.4 + -727.4. Which is the closest to -0.2?  (a) 2\/9  (b) 2\/7  (c) 8.8  (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4522\/(-8))\/(-7) - (-2)\/8. Let g = 141 - v. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -45*n. Let g(f) = -105*f + 193*f - 92*f. Give o(g(t)).\nAnswer: 180*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-196)\/(-35))\/(12\/(-45)*(-9)\/(-18))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y - 2*r + 4*r + 18, 0 = -2*y + 5*r + 1. Suppose -3*p + y*p + 3*t = 10, 5*p - 5*t - 50 = 0. Is 1836\/p + (-5)\/25 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5389 is divided by 224?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-7 + (-116)\/(-20))\/(1\/(-5)) - 7. Sort -2, v, 135 in increasing order.\nAnswer: -2, v, 135","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the third derivative of -p**4\/24 + 7*p**3\/3 - 4*p**2. Let s be r(0). Solve 3*u + 2*u = -2*k - 16, 2*u - 3*k + s = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12285 is divided by 2454.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 3*z - 16. Suppose -c = 4*c - 15. Suppose -5*b = f + 4*f - 15, -2*f = c*b - 4. Let h be s(f). Let i(j) = j. Determine i(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 8 = 4*i, 2*j = 5*j - i. Let w = -0.023 - -0.009. Let u = w - 0.086. Which is the third biggest value?  (a) -11  (b) u  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 a when two letters picked without replacement from zahkb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -174 + 373. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three halves of a litre?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 70 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4724143108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1222.24 take away -0.12?\nAnswer: -1222.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiiigiiiiiziiigg. Give prob of sequence izg.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 133027 is divided by 151.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**3\/7 - 39520*k**2\/7 - 237066*k\/7 - 50796.\nAnswer: -2*(k + 3)**2*(k + 19754)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1585 - 1997 + 5021)*(0*u - 2*u + 3*u)*(-21 + 21 - 14*u)*(1 + 0 + 0).\nAnswer: -20146*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 133 divide 501877873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -23*i + 21. Let r be j(0). Let t(b) = -13*b + 2. Let n(y) = y + 1. Let f(q) = -2*n(q) + t(q). Let w(u) = 3*u. What is r*w(c) + 4*f(c)?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*p = 25*p + 41855. What are the prime factors of p?\nAnswer: 5, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o + 14. Let y be q(-10). Suppose y - 16 = -3*t. Put 1, -2, t in increasing order.\nAnswer: -2, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6\/21 + 456\/21. Let f = r + -11. Suppose f = -6*t + 29. Solve t*c - 4*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**2 + 5. Let y be o(0). What is the greatest common divisor of 25 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10416 is divided by 197?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -37643*s**4 - 2*s - 86916 wrt s.\nAnswer: -150572*s**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -756 - -936. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5075136 and 264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 1394*w**3 - 2*w - 2. Let k be a(-1). Let v = -541 - k. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 217675099 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -5*(-4)\/(-30)*3. Let r(v) = -2*v - 1. Let g be r(u). Suppose -q + 61 = 2*s - 4, 4*s - 185 = -g*q. What is the remainder when q is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -482*v = -137*v + 4830 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 1930095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p + 5. Suppose -3*t = -0 + 15. Let i be (-3)\/9*-3 - t. Calculate x(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 30.01  (b) 2\/3  (c) -99  (d) 2\/13  (e) 0.4  (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ofnoonfnoooonnn. Give prob of picking 3 n and 1 f.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 27586\/643 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 133002 + -4?\nAnswer: 132554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 182 divide 33124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 1129*a + 20291. What is j(-18)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**2 - 7*b - 4. Let h be t(8). Let f be (2 - 0)\/(h\/(-6)). Let i be (-4 - -2)*(-1 + 0). Sort 5, f, i.\nAnswer: f, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.01 + 0.01. Let f = 1.6 + x. Let i = f - 0.1. Which is the smallest value?  (a) i  (b) -2  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/3, -0.118, 11563 in increasing order.\nAnswer: -0.118, 1\/3, 11563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 222 is divided by 122.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11844)\/2660 + 19\/(-1083)*-3.\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1436 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 747 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -2*c**3\/19 - 2*c**2\/19 + 2*c\/19 + 2\/19 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 48541671 to the power of 1\/3, to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that 0 + 9\/4*g**2 + 0*g + 3\/4*g**3 - 9\/4*g**4 - 3\/4*g**5 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12771 is divided by 1239.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - p - 22 = 0, 0*k - k = 4*p - 2. Let y = 20 - k. Let m(q) = 2*q**2 - q**2 - q**y - q**2. Let h(t) = 4*t. Calculate h(m(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 72801640?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 5*f + 44 = -0*n, 14 = n - 2*f. What is the second smallest value in -5, -0.5, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:07 PM and 9:46 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1, 0.2, -0.053, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.8 + -9.2. Let h = -14 - q. Which is the second biggest value?  (a) -0.3  (b) h  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 228 + 185. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v - 0*v - 4. Let j = 0 - v. Let f(d) = d**2 + 2*d + 2. Calculate f(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6753 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4987889707 to the nearest integer?\nAnswer: 1709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2178 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -89 + 61. Let h = 38 + n. Suppose 5*i = -3*z - 0*i - h, 0 = 5*z + i + 2. Solve z*o - 4*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**(-1\/6))\/(t**(2\/21)\/t)*(t*t**(2\/7))**47*(t**(-2\/3)\/t)**(-5\/17)*(t\/t**2)\/(t*t*t**(-2)) assuming t is positive.\nAnswer: t**(6323\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 9 + 35 = -4*a, -4*a - 8 = -2*s. Let g be (2*(s - -5))\/(5\/1). Which is smaller: g or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 975 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-8)\/f*f*f)\/f*f**(-3))\/(f**(1\/3)*f**(2\/15)\/f) assuming f is positive.\nAnswer: f**(-142\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 32 + r**3 - 5*r**2 - 4*r + 11*r - 36. What are the prime factors of x(5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (14\/2)\/(28\/12). Let a = 2 - 2. Suppose 60 = z*x - a. Calculate the lowest common multiple of 22 and x.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(2268)*-3*-4 - (-5*sqrt(2268)*-2 - -2*sqrt(2268)*6))**2.\nAnswer: 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37019*o**3 + 74128*o**3 - 36992*o**3.\nAnswer: 117*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 21, 37, 57, 81, 109, 141?\n\"Answer: 2*s**2 + 10*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -16*c - 2799. Determine h(-92).\nAnswer: -1327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 2*u = 95, -u + 21 = -3*f + 67. Let v be f + (2 - 14)\/(-4). Calculate the highest common factor of 100 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -50 (base 6) in base 16?\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 4*p + 1. Let a(q) = -q**2 + q + 4. Let b be a(3). Suppose 4*r + 27 = 11. Let v = r - b. What is l(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + 2)*(j**3 + 2*j**5 - j**3) + 45*j**4 - 1431*j**5 + 28*j**4 - 74*j**4.\nAnswer: -1427*j**5 - j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -110*g - 76. What is the thousands digit of d(-73)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/15720 and 45\/11.\nAnswer: 172920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -4*c**4 + 2840*c**3 - 289572*c**2 - 76157440*c - 2876391424 = 0.\nAnswer: -64, 419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/18477100 and 11\/3695420.\nAnswer: 18477100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*d + 12*d + 22461 - 104676. Is 261 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 17279 - 12656 = -2*o, b = -o + 29938. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) -0.4  (c) 0.19  (d) -494  (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 570?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the second derivative of 5*d**3\/6 - 9*d**2 - 3*d + 57. Calculate n(9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24153301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**(-2\/11))\/c*c\/c**(-2\/11)*(c**2)**(-2\/103) assuming c is positive.\nAnswer: c**(1501\/1133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1*5 - (-910)\/(-210). What is the closest to -1\/2 in h, -3, -5, 11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i - 5. Let z be s(-6). Suppose 10 = 5*t + 5*x, -3*t - 2*x = -8 - z. Sort -1, t, -4.\nAnswer: -4, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, x: 1, e: 3, h: 7}. What is prob of sequence heh?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10357?\nAnswer: 10357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.2 + 13.8. Let f = -169734 - -169748.9994. Let y = c - f. Round y to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 4*i - 42 - 3 - 356*i**2 - 17*i + 357*i**2. Let n be s(16). Suppose -5206 = -2*p - n*v, -2*v = -4*p + 9335 + 1109. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 317?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -h**4\/5 + 754596*h**3\/5 + 6791418*h**2\/5 + 20374308*h\/5 + 4074867 = 0. What is h?\nAnswer: -3, 754605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 4*r - 10. Let t be g(3). Let y(k) = k**3 + 7*k**2 + 13*k + 39. Let h be y(-6). Sort -4, t, h in decreasing order.\nAnswer: t, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, r: 13, y: 3}. What is prob of picking 1 y and 2 r?\nAnswer: 117\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31.6*-664.\nAnswer: -20982.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 68 - ((-939 - -942) + -16 + -2 + 2 + 3)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-12)\/14 + 7\/((-21560)\/(-99429)). Let d = -245\/8 + u. Which is smaller: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1494256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 2*o**3 - 5*o**2 + 5*o - 10. Let y(x) = 2*x**3 - 4*x**2 + 4*x - 11. Determine -4*w(p) + 5*y(p).\nAnswer: 2*p**3 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 625*t - 624. What is the lowest common multiple of q(4) and 168?\nAnswer: 11256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 176685 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: Suppose 12*v - 11*v - 96 = 0. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 387140 rounded to the nearest ten thousand?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 82987 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 13, c: 6}. Give prob of picking 3 c.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 150699 and 142020?\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 82*r + 52 + 932 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.161 * 0.43252\nAnswer: 0.06963572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1 + 62)*(36 + 2). Let z(x) = q - 125*x**2 - 2318. Let m(a) = -2*a**2. What is z(m(u))?\nAnswer: -500*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/(-14)*-7*-138*(-30)\/225?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -2 - 0. Suppose 3 = 2*a - 1. Find the second derivative of 0*k**t + k**a - 3*k + 3*k**2 - k wrt k.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30902924821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -672801*v**2 - 14584*v - 21 wrt v?\nAnswer: -1345602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, r: 3, k: 1, p: 5, d: 3, j: 1}. Give prob of sequence ddx.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1010021 a multiple of 402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/32 of a millennium?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 27, 3, 2\/5, -5, 5126.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 2 x when four letters picked without replacement from {o: 2, x: 3, p: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 4 + 1272648*d + 4*d**2 + 0*d**2 - 1272651*d - d**3. Give h(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -2*h - d, 4*h - 2*d = -21 - 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Are 88\/12755 and -309 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**3 - 9*v**2 - 3*v + 1. Calculate the remainder when 48 is divided by r(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16 + 5. Let o = 1.73 - 1.83. Which is the second biggest value?  (a) f  (b) 4  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/(160\/(-465)) - 48\/192?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -2  (b) 0.04  (c) 14.7  (d) 2  (e) 5\/6  (f) -4  (g) -1.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75 = 5*k + 5*j, 2*k - 4*j - 27 = 3*k. Let q be k\/(11\/(-6)) - 4. Solve 0 = q*s + 4 + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the third derivative of f**7\/42 + f**6\/8 - f**5\/6 - 5*f**4\/2 - 20*f**3\/3 - 593*f**2. Factor l(j).\nAnswer: 5*(j - 2)*(j + 1)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u + 2*u - 3*u)*(-2 - 1 + 2) + 29*u + 9*u - 52*u + 2*u + 3*u - 4*u - 69*u + 90*u + 88*u.\nAnswer: 97*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12048)\/(-273088)*(-16)\/3.\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 2261, 4525, 6789, 9053?\n\"Answer: 2264*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-16\/5)\/y**(27\/5))\/(y**3*y**(-2)) assuming y is positive.\nAnswer: y**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, v: 1, w: 8, i: 3}. What is prob of sequence vi?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let t = -51 + 76. Find the third derivative of -12*v**2 + t*v**4 + 13*v**4 - 10*v**4 wrt v.\nAnswer: 672*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/21)\/(7\/7)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3587\/152 - 185\/8. Which is greater: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by 38081\nAnswer: 1\/38081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = 5*z + y - 216, 5*z + y - 269 = 0. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of b*o**2 + 977665*b*o + 22424686*b + o**2 wrt o?\nAnswer: 2*b*o + 977665*b + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 23, 0.25, -5?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 3*s**2 + 2*s + 4. Let y be p(-2). Let b be -3*(-2)\/y*86. Suppose -n = 3*i - b, 0 = 2*n - 7*i + 2*i - 108. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4614.66 - -4658. Let v = q - 44. Round v to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.07 + -11.07. Let d = 6 + w. Let n = 4.99985 + d. What is n rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.264 - 0.38. Let k = 11.916 + m. Let x = -10 + k. Round x to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f + 2*f + 56 = 0. Suppose -4*p - r - 3 + 24 = 0, f = 3*p - r. What is the second derivative of 20*j + 5*j**3 + 252*j**4 - p*j**3 - 245*j**4 wrt j?\nAnswer: 84*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -16*o**3*q**2*z**2 - 4*o**3*z**3 + 8*o**2*q**2*z**3 + 82*o*q wrt q.\nAnswer: -32*o**3*z**2 + 16*o**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3b7 (base 13) to base 8.\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bs when two letters picked without replacement from {o: 4, b: 1, t: 3, s: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(7) + (4 + sqrt(567))**2 - sqrt(7)).\nAnswer: 72*sqrt(7) + 582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/(-33) + (-334)\/22. Let z be 5*(0 + 12\/p). Let o = 9 + z. Calculate the lowest common multiple of 7 and o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72778483 >= 72778483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -2*s + 8. Let w be 10\/6*3 - -1. Let b be t(w). Let n(v) = -v**2 - 5*v + 4. Let k be n(-5). Put 1, b, k in descending order.\nAnswer: k, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1196816 greater than or equal to -1196815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 16926 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -346 or -65991\/191?\nAnswer: -346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes after 11:44 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.2  (b) -2  (c) -139  (d) -562\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-38)\/5*(-15)\/3 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-4)\/6*1)\/((-7)\/(-21)))\/(91924 - 91828)?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 221101 (base 3) to base 10\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*d + 152 = 1210. Let l(t) = t + 1. Let n be l(-1). Suppose n = 5*r + 1 - d. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 3 - 4 - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9800 is divided by 4870?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the first derivative of -3*f**2 + 67. Determine z(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xstxsssstx. Give prob of sequence xxs.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 - v**2 - 5*v**2 + v**2 + 2*v**4 to a*v**4 + n + y*v + z*v**2 + w*v**3 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from aaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -88*t**4 + 2916*t**3 + 9108*t**2 - 1296*t = 0.\nAnswer: -3, 0, 3\/22, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28402.\nAnswer: 2, 11, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**3 + 7*q**2 - 2*q - 8. Suppose p + 9 = z, -3*z - 2*p + 3 = 3*p. What is l(z)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -1 - (14 - 12) - 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.5, 205000, -3, 3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t - 15 = 3*t. What is the second derivative of 9*g**2 - 2*g - t - 11 + 14 wrt g?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 316331\/24 + -13186. Calculate the common denominator of m and -73\/258.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -55, -122, -189, -256?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - p = -j + 23, 0 = -2*j - 4*p - 22 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1082214719, -1082214718, -1082214717?\n\"Answer: q - 1082214720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5*8\/(-140) + (-57)\/(-63)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*l + 12. Suppose 5 = -5*i - l*q, -3*i = -0*i + 4*q + 4. Suppose -4*a + a + 15 = i. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.2 + -6.2. Let n = 61\/2 - 29. Let w = 725569\/4 - 181392. What is the smallest value in w, n, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-1\/16)*(z*z\/(((z*z**(-33))\/z)\/z))\/z*(z*(z*z\/(z\/(z*z*((z*z\/((z\/(z**(4\/9)*z)*z)\/z))\/z)\/z)))\/z*z)\/((z**(-7)*z)\/z) assuming z is positive.\nAnswer: z**(6679\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11 and 6589?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 + -121100011?\nAnswer: -121100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - d - 19 = -5*v, 4*v - 15 = d. Let z be -4*((-6)\/v - -1). Which is bigger: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-8)\/84*3)\/2. Let r be (2\/3)\/(2 - 0). Let p be (-4 - (-100)\/32)*(-18)\/(-63). Which is the third smallest value?  (a) m  (b) p  (c) -0.5  (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-301*v**2 - 303*v**2 + 373*v**3 + 606*v**2)*(3*v**2 - 4*v**2 + 3*v**2).\nAnswer: 746*v**5 + 4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 14\/204847 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 50.54557112 rounded to one decimal place?\nAnswer: 50.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let -25*a**5 + 1965*a**4 + 12650*a**3 - 308640*a**2 + 1390880*a - 1912320 = 0. Calculate a.\nAnswer: -16, 18\/5, 4, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 3*c = 45. Suppose 0*o - 5*o = -c. Let z = 13 - 13. Solve -w + 0*w = -y - o, z = 5*w - 25 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1152)\/sqrt(9) + (sqrt(2) + sqrt(4050))**2.\nAnswer: 8*sqrt(2) + 4232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + -11 - (8 + (4 - 54) + -8 + 0)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 311599 is divided by 304.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 622 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 110 minutes before 1:55 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3977069027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwwwwww. What is prob of sequence www?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 - 1. Let h be (-1)\/5 + 4\/(-5). Let u = m + h. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 112\/3*r**3 - 4\/3*r**4 + 0 + 0*r - 784\/3*r**2.\nAnswer: -4*r**2*(r - 14)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j + k - 6, 5*k - 3 = -4*j + 3*j. Let s be ((-5)\/j)\/(35\/(-21)). Sort -16, s, -4.\nAnswer: -16, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 1 + 2 + w + 3 + 0*w. Let f be j(0). Suppose -f = -h - 0*h. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 889 divided by 24276.\nAnswer: 127\/3468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2038, -2870, -3686, -4480, -5246, -5978, -6670?\n\"Answer: a**3 + 2*a**2 - 845*a - 1196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((r\/r**(-8\/5)*r)\/r*r)\/r)\/(r**(-6\/5)*r*r))\/(r**10*r**(-2)) assuming r is positive.\nAnswer: r**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -2*d - 15. Let g be r(-10). Let x = g - 0. Suppose n - 2*h - 24 = 0, -x*n + 3*h + 14 = -113. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the first derivative of y**3\/3 + y - 1. Let q(v) be the second derivative of 0 - 3\/2*v**2 - 1\/6*v**4 - 1\/3*v**3 + 2*v. What is q(k) + 3*x(k)?\nAnswer: k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w. Let n(r) = r + 129 - 83 - 61. Determine -4*j(p) - n(p).\nAnswer: 3*p + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 + 4 - 3)*(-216 + 216 + 34*v) + (-5*v + 7*v + 5*v)*(6 - 7 + 11) as z + n*v and give n.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 5*o = -190, -3*z + o + 122 = -0*z. Suppose 4*d = -2*y - y + z, -2*d = 2*y - 20. What is the remainder when 39 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 29, 2, 5, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0, -71.16, -5, -23 in decreasing order.\nAnswer: 4, 0, -5, -23, -71.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 52 and 104?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r - 2*r - 100. Let m = r - -36. Let j = m + -6. Solve 11 + 5 = -2*u + j*l, 10 = u + 2*l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6414906.\nAnswer: 2, 3, 569, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2d2 (base 15) in base 13?\nAnswer: 3aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5.07 + -0.07. Let b = o + -8. Let h = 12.95 - 12.25. Is h at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.5835616ml?\nAnswer: 0.0005835616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -1, 1\/4, -2.9, 15\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 245*j + 88 = 253*j for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2*o)*(-3 - 6 - 1) + (1 - o - 1)*(-2 - 2 + 3).\nAnswer: 21*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 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: Rearrange (3 - 3 - 3*a**3)*(25 - 12 + 9) to the form y*a**3 + x*a**2 + j + c*a and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2077*y = 2075*y, m + 23 = y for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 281*v + 241*v + 406*v + 226*v + (2*v + 0 + 0)*(6 + 5 - 12) to k + c*v and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 698.93 - 698.929907158. Round b to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the first derivative of w**6\/2 + 3*w**5\/5 - 3*w**4\/4 - w**3 - 46. Let f(m) = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 13) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1377)*-2)**2 - (sqrt(153)*-1)\/sqrt(9).\nAnswer: sqrt(17) + 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001464039861 rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -78, -70, -60, -48, -34, -18, 0?\n\"Answer: u**2 + 5*u - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(833)*-2 + sqrt(833))**2 - -2*(2 + (sqrt(51)\/sqrt(3))**2).\nAnswer: 56*sqrt(17) + 887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**2 - v - 13. Let u(y) = -y**2 - 7*y + 18. Let h be u(2). What is n(h)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - d - 588 = 2*d, 184 = n + 5*d. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.5, -1917\/23, 0.9, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/12 + (-2)\/(-8). Suppose m*z + 32 = -2*z. Find the common denominator of 103\/10 and 10\/z*(15 - 0).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1712 is divided by 553.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2124 and -428.\nAnswer: 1696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 4, g: 9, u: 1}. Give prob of sequence zgzu.\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -72*f**3*q**3 + f**3*q**2 - 5*f**2*q - 9*f*q**3 wrt f.\nAnswer: -432*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**2 - 3 + 6*q**2 - 2*q**2 - 2 - 4*q - q**3. Let p = 11 - 7. Let g be b(p). Sort 1, 4, g in descending order.\nAnswer: 4, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4435865789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve j = -4*r - 72, -4*r - 35512 + 35432 = 3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3201983 is divided by 432?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -4*i**3 - 12*i**2 + 13*i + 8. Let a(x) = 3*x**3 + 11*x**2 - 12*x - 7. Let n(g) = -5*a(g) - 4*c(g). Give n(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 26\/5 of a microgram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 9*m - 29. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 69095 is divided by 1188?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 - (6 + -4)) + (-3 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the third derivative of g**6\/120 + 847*g**5\/300 + 169*g**4\/60 - 2*g**2 - 2287*g. Factor v(t).\nAnswer: t*(t + 169)*(5*t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 48  (b) -0.1  (c) 134\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 174*k**4*p - 39*k**2*p - 2*k**2 + 25*k*p + 3*k - 2*p - 5 wrt k?\nAnswer: 2088*k**2*p - 78*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 213*f + 44. What is the remainder when c(3) is divided by 86?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25592670747 = -775*d + 64978825044 + 1592279209. Round d to the nearest one million.\nAnswer: 119000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3 + 75\/(-21) + -1 + 1. What is the third smallest value in -1\/3, -6, m?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 27407329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (6\/9)\/((-8)\/(-441)). Let h = d - 37. Let l(i) = -i**2 - 5*i - 1. Let p be l(-5). Put -3\/7, h, p in increasing order.\nAnswer: p, -3\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 2\/7  (b) -66  (c) 10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7 - 5 - 61 + 0*b + b - 2*b**3 to v + z*b**3 + x*b + j*b**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -236*q + 233*q + a, 0 = -q + 2*a - 7. Solve -10 = -q*c + 4*y, -4*y - 7 - 1 = -4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*d + 2*c + 671 - 722 = 0, -5*c = -5*d - 25 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 34*l**3 + 59*l**2 + 2*l - 4. Let j(k) = k**2 - k + 2. Let p(h) = 6*j(h) + 3*q(h). Find the third derivative of p(m) wrt m.\nAnswer: 612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/1224 and ((225\/2592)\/25)\/((-315)\/170 - -2)?\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 222503 divided by -158.\nAnswer: -222503\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 112*o**2 + 2 + 162*o**2 + 48*o**2 - 1.\nAnswer: 322*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - -9 - 7 - (9 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9 + 39. Suppose -5*z + 5*h - 85 = 0, -5*h = z - 2*z - 25. Let p = y + z. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y = -4*i - 2, -221*y + i - 4 = -222*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 432038480.\nAnswer: 2, 5, 683, 7907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.0623 and -50.\nAnswer: -3.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**3 - 6*m**2 + 2*m - 4. Calculate r(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 134 is divided by ((-868)\/(-21) - -4) + (-4)\/(-6).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3745 and 7908905?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - -19 - (80 + -83)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (10\/25)\/(2\/10). Suppose 0 = 2*n - 0*n + 2*t - 12, -5*n + 12 = -t. Suppose r*l = l + n. Solve 0 = x - l + 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 84444 divided by -14074.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*(w\/w**0*w)\/w)\/w)**(-21)*(w*w**11)\/(w\/(w\/w**(-2\/3)*w)))**(2\/85) assuming w is positive.\nAnswer: w**(-44\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-16)*u**14)\/(u*u**21*u\/u**(2\/23)) assuming u is positive.\nAnswer: u**(-573\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2443060 and 1035.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1428)\/126*(-4)\/8.\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -22402.817 rounded to the nearest one hundred?\nAnswer: -22400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of ((-8)\/(-20) + 0)*35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:06 AM and 5:16 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-7542)\/8*80\/(-100). Let k = 757 - z. Factor k*s - 8\/5 + 4\/5*s**2.\nAnswer: 2*(s + 4)*(2*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0.5, 0.02, -1.5, 14, 0.005 in ascending order.\nAnswer: -5, -1.5, 0.005, 0.02, 0.5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the second derivative of -10*p**3\/3 + 4*p**2 - 56*p + 13. Calculate r(4).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -32 - -36. Suppose 0 = -4*v + 4*z + 28, 2*z + 14 + r = 3*v. What is the derivative of 7 - 7*u**2 + 5 + 1 - v wrt u?\nAnswer: -14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -275 (base 13) in base 6?\nAnswer: -2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*t**2 - 1840105403 + 1840105403.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2252 - -31515\/14. Find the common denominator of g and (-2)\/4*54\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:29 AM and 11:44 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/10?  (a) -15\/1453  (b) -1  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -2085486 divided by 2\nAnswer: -1042743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1 - -6) + -1 - 14) + -4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -224*j + 1877. What is the remainder when g(7) is divided by 284?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**2 - 1. Let v(q) = -8*q**3 + 11*q**2 + 7*q - 11. Let g(r) = 22*n(r) - 2*v(r). What is the second derivative of g(t) wrt t?\nAnswer: 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -56321, -112629, -168951, -225293, -281661, -338061?\n\"Answer: -a**3 - a**2 - 56298*a - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 709*m - 3 - 417*m.\nAnswer: 292*m - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 26 - 14. Sort p, 2, 0 in descending order.\nAnswer: p, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-5)\/2*(-30)\/(-25). Let o be (-1)\/(10\/4 + r). Suppose -o*i - 6*p + 30 = -4*p, -2*i = -5*p - 9. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 22*o**2 + 116*o + 16. Give u(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, 3, -0.24, 4, 8\/13 in ascending order.\nAnswer: -0.24, 8\/13, 3, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 376 and 25756?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = 0, -35 = 3*z + 4*b + 19. Let r be 8\/z*6\/(-8). Let f be (-2)\/(-6)*(-6)\/7. What is the third biggest value in -2, f, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -2*s - 22, -90 + 104 = -4*s - 2*n. What is the third smallest value in s, 0.04, 2, 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6\/5 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 433470 to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c - 3*l + 2667, -3 = -629*l + 630*l. Put 3, c, -3 in ascending order.\nAnswer: -3, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2\/13, 0.6, 2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1369574 to the nearest integer?\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**2 - 3216*w + 130268. Determine q(41).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes before 12:28 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.16  (b) -2  (c) -0.098  (d) 0.4  (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 2*y - 156 = 58, 5*o + 5*y - 390 = 0. What are the prime factors of o?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 36544 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 689769, 689761, 689753, 689745, 689737, 689729?\nAnswer: 689721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - g = -6*g + 282, c - 94 = 4*g. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1968\/(-54120) - 109\/(-1485)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = q - 3*n + 6, 0 = 5*q + 17*n - 19*n + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(3\/5)\/t)**(-21\/5)\/(t**(-6)*t**8) assuming t is positive.\nAnswer: t**(-8\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5055 and 21.4.\nAnswer: -108177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (6 + (1 - (-4 - -6)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1876429.\nAnswer: 379, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*b - b - b + (0*b - b + 10*b)*(-1 + 5 - 3))*(-2*b**3 - b**3 + 5*b**3) as n + s*b + c*b**4 + f*b**3 + t*b**2 and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m**3 - 140*m**2 + 2496*m + 55440 = 0 for m.\nAnswer: -42, -15, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*v - 19*v + 13857 = 0. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(84) + -2*-2*sqrt(84))\/(sqrt(12) - (sqrt(588) - (sqrt(588) - (sqrt(588) - (sqrt(588)*-2 + sqrt(588)))))) + 0)**2.\nAnswer: 175\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 883179 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -5*x**4\/4 - 373*x**3 + 11567*x**2\/4 - 9319*x\/2 + 2142 = 0.\nAnswer: -306, 1, 28\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sfussssssss. What is prob of sequence ufs?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*z**2 - 77*z**2 + 40*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4674 - 4662. Let g(a) = a**2 - 2*a - 7. Let q be g(5). Calculate the highest common divisor of q and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -112 - (7 + -1 + (51 + -89 - -14) - -10)\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(120)\/sqrt(4)*-5)\/(sqrt(54)\/sqrt(144)) - (2 + (-2*sqrt(180))**2 + 3).\nAnswer: -725 - 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 41832449 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -8, 0, 8, -1934, 9.\nAnswer: -1934, -8, -5, 0, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -309*1*(-9)\/(-2)*4\/(-18). Let k(p) = 78*p**2 - 2*p + 1. Let f be k(2). Suppose -3*y + l = -f. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -85a + 3c2?\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are -1\/458 and 4\/19 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -21 + 31. Solve -6*z = -z - i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 6*m**2 + 5*m - 1. Let g be p(-4). Let x be 1\/3*g\/5. Suppose -3*y + x + 4 = 0. Solve -10 = -i + y*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**3 + 41*u**2 - 59*u - 713. What is t(-42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2 - 3)\/(1\/11). Let y(x) = -x + 21. Let c be y(17). Suppose 11*o = c*b + 8*o + 11, -o = 5*b + 28. Sort t, b, 5 in descending order.\nAnswer: 5, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 58\/5 - 227\/20. Solve -5\/4*g**3 + 5\/4*g**2 - 1 - p*g**4 + g + 1\/4*g**5 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18788, 37814, 56844, 75878, 94916, 113958, 133004?\nAnswer: 152054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9 - 13 + 6*o**2 + 4 to h*o**2 + t*o + m and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 224 divide 674701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -6*h**2 - 3*h. Let y(x) = -11*x**3 - 9*x**2 + 6*x - 8. Let w(l) = 4*l**3 + 4*l**2 - 2*l + 3. Let s(m) = 8*w(m) + 3*y(m). Calculate 2*o(f) + 3*s(f).\nAnswer: -3*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.3  (b) -3  (c) 5\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m - 6*n = 73 - 52, 0 = m - 4*n + 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.266 + 0.466. What is the smallest value in -2, 5, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**3 - 18*w**2 - 19*w + 10. Let v be s(-16). Let j be 36\/v - (137\/(-814))\/1. Are 1 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -2*n**3 - 115*n**2 - 84*n + 168. Calculate r(-56).\nAnswer: -4536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**4\/5 + 8742*g**3\/5 - 19096897*g**2\/5 - 38220024*g\/5 - 19114384\/5.\nAnswer: -(g - 4372)**2*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 768887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the third derivative of -1\/6*h**3 - 3*h**2 - 7\/24*h**4 + 0 - 47*h. Calculate j(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 6 = -5. Let d = m + -4. Let z be (-1 - 6)*(d + -8). What is the greatest common factor of 28 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 404 and 303.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 293166.6 nanoseconds in seconds?\nAnswer: 0.0002931666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**2 - 4*s + 5. Let b be h(-5). Let p be b\/(-4) + (-2)\/4. Let y = 19 + p. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 15?  (a) 2\/5  (b) 2\/3  (c) -0.4  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -3*c + p, 42*c - 40*c - 5*p - 30 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12 - (51 + -55)) + -41?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*w**3 + 3*w**3 - 8*w**3 - 5*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66*b**5 - 3057*b**4 - 2109*b**3 - 282*b**2 = 0.\nAnswer: -1\/2, -2\/11, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 335427.78999881 + -335427.2. Let r = -0.59 + a. What is r rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 2*j = 90. Let t = 68 + 22. Suppose -l + t = l. Calculate the greatest common factor of l and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 163057319 times 4?\nAnswer: 652229276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -2951*l. Let w(p) = 53*p**2. What is m(w(v))?\nAnswer: -156403*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 7, c: 4, s: 2}. What is prob of sequence cssc?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g - 4*i + 3 - 1, -5*g + 17 = -2*i. Suppose 5*s + g*s = 248. What are the prime factors of s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, -4, 0 in descending order.\nAnswer: 0, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 2.52 times -0.12\nAnswer: -0.3024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 327139097*u. Let m(v) = v. Give m(a(q)).\nAnswer: 327139097*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*s + 1808 - 351 = 592 + 379 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o = 2148 + 785. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7881 (base 9) in base 16?\nAnswer: -16c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**4*g**(-1))\/((g\/(g**(-2\/3)*g))\/(g\/(g*g*g*g**(2\/13)*g*g*g*g*g))))**(4\/3) assuming g is positive.\nAnswer: g**(-752\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-b**2 + 21547*b - 165*b**3 - 21547*b)*((0 + 1 - 3)*(-1 - 1 + 3) - 4 + 0 + 3)*(2 + 3 - 3) to the form k*b**2 + o*b + u*b**3 + f and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.1704 + -0.18. Let p = 3 + -3.01. Let h = b - p. Round h to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*s - 5*s - 76. Let y = s + -79. Let r(v) = -2*v**3 - 4*v**2 + 4*v + 4. Let d(w) = -2*w**3 - 3*w**2 + 3*w + 3. Calculate y*r(h) + 4*d(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*s - 327 + 1002 = -29*s for s.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in eighteen fifths of a day?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + -25 + 14 - (-4 + 3 + -13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 65777576339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -2\/9  (b) -1\/4  (c) -399268  (d) -4\/5  (e) 4  (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 310, 1191, 2664, 4729, 7386?\n\"Answer: 296*g**2 - 7*g + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1 + 4 + 124\/(-28). Which is the smallest value?  (a) -3\/4  (b) -5  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8359409, 8359338, 8359267, 8359196, 8359125, 8359054?\nAnswer: 8358983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(6)\/sqrt(2)*2 + sqrt(3) - (sqrt(3) - (3 + sqrt(6)\/sqrt(2))).\nAnswer: 3 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -78 * 0.9\nAnswer: -70.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that 2\/9*x**2 + 800\/9 + 80\/9*x = 0.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 57, 72, 111, 186, 309, 492, 747?\n\"Answer: 2*c**3 + c + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes before 11:13 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 62*c**4 + 2*c + 2*c**2 + 60*c**4 + 57*c**4 + 17*c**3 - 180*c**4 + 47*c**3 to a*c**4 + m*c**2 + b + v*c + l*c**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 4 + 0)*(5*a - a + 2*a)*(5*a - 3*a - a + 3*a - 3*a - a + (-4 + 2 + 3)*(-4 - a + 4) + 6*a + 0*a - a) in the form r*a + g + y*a**2 and give y.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 15181344 by -46856.\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -14*o**3 - 17*o. Suppose -5 = -2*c - 17. Let a(l) be the third derivative of l**6\/24 + l**4\/4 + 2*l**2. Calculate c*q(f) - 17*a(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1050 and 24452925?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 2, 1\/11 in increasing order.\nAnswer: 1\/11, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-28)\/(-6)*(-30)\/(-35). Solve 5*o - 4 = t, 0*o + 5*t - 1 = b*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-27)\/(-5) + (-16)\/40. Let r = 5 + 0. Solve t - 10 = -u*a, -3*t = 4*a - r - 14 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*6*10\/105.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -27 - -16. Let c be l\/(-3) - (-3)\/9. Solve c*k - 7 - 1 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 109, 190, 331, 532, 793, 1114, 1495?\n\"Answer: 30*s**2 - 9*s + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 3 - r)*(2*r**3 + 0*r**3 - 5*r**3 + (-r**3 - r**3 + 3*r**3)*(0 - 3 + 2)) to b*r**3 + z*r**4 + d*r**2 + t + y*r and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v = -w - v - 8, -10 = 2*v. Which is smaller: 0.2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4141, -1\/4, -522?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -20*(192\/(-12) - (-2 - -2)). What is the highest common factor of v and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1.8, -2\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**2. Let q(u) = 11876*u. What is z(q(r))?\nAnswer: 141039376*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 45 - 44. Let l be -1*(c - (2 - 0)). Is 24 a factor of 36\/(l + (-4)\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 147 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 461, -3\/5, -1\/8, -0.11.\nAnswer: -5, -3\/5, -1\/8, -0.11, 461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 3, t: 2, e: 1, p: 7, d: 1}. What is prob of sequence pt?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34661 is divided by 17280.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2145 - 2138. Solve 3*u - 6*u + 2*c = -k, -3*c = u - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xqlxtxq. What is prob of picking 1 l and 1 q?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, 2, -3, 3 in ascending order.\nAnswer: -3, 2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*q - 8*q + 21*q - 5*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -103 + 93. Let n = 4.7 - -0.3. Which is the closest to w?  (a) -2\/11  (b) 1\/7  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jfji when four letters picked without replacement from vpjjmif.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -1, 26\/111, -3, -1\/11?\nAnswer: 26\/111","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00081087007 rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 5096 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**2 + 17*t - 52. Let u be x(13). Let n(d) = d**2 - 19. Calculate n(u).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 13\/7 - 124\/63. What is the nearest to 0.1 in c, -0.2, -1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-46)\/(-12) - (102\/(-36))\/17. Solve -b - 4*a = 2*b + 16, a + q = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - f + 35 = -5*m, 4*f = 5*m + 31. Suppose 2*b + f - 28 = 0. Let j be (-64)\/b - 1\/(-3). Let p(u) = -u**3 - 5*u**2 - u - 7. Determine p(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 36, -1\/3, -11\/12, 1, -9\/127, 5.\nAnswer: -11\/12, -1\/3, -9\/127, 1, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10692218?\nAnswer: 2, 17, 47, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = -5*z - 26249980, 0*c - 2*c = -10. What is z rounded to the nearest 100000?\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a - 19. Let v be c(25). Suppose -2*p + v = -3*j, -j - 2 = -3*p - 0*p. Sort -3, 5, j.\nAnswer: -3, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 601.6366 seconds in nanoseconds?\nAnswer: 601636600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 5*q + 110 = -40, -24*q + 382 = -5*j. Let f(z) = 20*z + 760. Calculate f(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the second derivative of 1\/66*n**4 + 1\/11*n**3 + 9*n + 0*n**2 + 4. What is c in y(c) = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(76) + -2*(sqrt(76) + (sqrt(76) - sqrt(76)*-1)) - sqrt(76) - 2*(sqrt(76) - sqrt(76)*-2))\/((sqrt(4) - 2*sqrt(196))*1))**2.\nAnswer: -13680\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -17, 10, 1 in decreasing order.\nAnswer: 10, 1, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 2552, 5045, 7474, 9809, 12020, 14077?\n\"Answer: -5*u**3 - 2*u**2 + 2534*u + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -16.4 * -0.2.\nAnswer: 3.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 15*j + 190. Let d(v) = 2*v - 4. Calculate 6*d(w) - l(w).\nAnswer: -3*w - 214","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 205872 + -139219. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2783 - 2783. Let t(m) be the second derivative of 3*m + z*m**4 + 0*m**3 - 13\/30*m**6 + 0 - 5\/2*m**2 + 0*m**5. Differentiate t(o) with respect to o.\nAnswer: -52*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 102, 99, 84, 51, -6?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-3)\/(-1))\/(-1))\/((-7)\/385*15).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15803, -16623, -17431, -18227?\nAnswer: -19011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(270)*2*-2 - sqrt(270)))\/((sqrt(5760)*2)\/sqrt(4)*-5).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t - 1. Let u(y) = 3*y + 4. Let k(l) = -u(l) - 4*w(l). Let c(z) = -12*z**2. Calculate c(k(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 670*l**4\/3 + 388604*l**3\/3 + 3827350*l**2\/3 + 1153312*l + 6840 = 0. Calculate l.\nAnswer: -570, -9, -1, -2\/335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a. Let y(g) = 3*g**2 + 4*g + 1. Let d(l) = -105*l**2 + 15*l + 4. Let f(n) = -d(n) + 4*y(n). Determine f(b(r)).\nAnswer: 117*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 20533 minus -13.5109?\nAnswer: 20546.5109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = 4*a - 3*b, 3*a = 7*a - 2*b + 28. Let w(y) = 9 + y**2 + y**3 + 5*y**2 - 6*y + 3*y. What is the tens digit of w(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4844, 4377, 3594, 2495, 1080, -651, -2698?\nAnswer: -5061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 25, 634, 2429, 6004, 11953, 20870, 33349, 49984?\nAnswer: 71369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4 and 0.05?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 589192?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 61a (base 13) to base 6\nAnswer: 4445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*i**3 - 152*i**3 + 81*i**3 + 12*i**3 + 16*i**3.\nAnswer: -14*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:25 AM and 11:30 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes after 4:10 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 28.6 in -1\/50, 15, 4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 495 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 32623733*c**4 + 14*c**2 - 6550*c - 83 wrt c?\nAnswer: 782969592*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2.861 - -0.069. Let a = -0.07 - b. Let u = 3 - 3.5. What is the third biggest value in 1, u, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*t**2 + t**4 + 185*t - t**3 - 120*t + t**4 - 64*t + 4*t**4 in the form d*t**3 + h + q*t**2 + k*t**4 + b*t and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 2*a = a + 10, 3*a = 2*q + 14. Let n(l) = l**2 + 3*l - 1. Let k be n(q). Let o(b) = -3*b - b**2 + b**2 + k + b**2. Determine o(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z + 0*z + 20 = 3*y, 0 = -5*y - 5*z - 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -14  (b) -343.64  (c) 82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 1513.153 * -49\nAnswer: -74144.497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 53*f**3 + 3*f**2 + 139*f + 271. Calculate u(-2).\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a**2 + 6*a + 4. Let b be m(6). Let y be b + 0 + (-36)\/(-18). Let q = -28 - -31. Which is smaller: q or y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5.8525 + 0.1475. Sort -0.1, 2\/19, n.\nAnswer: -0.1, 2\/19, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**2. Let k(w) = 24*w - 20*w - 32*w. Determine k(i(t)).\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:28 PM and 10:12 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 442158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (80\/69 + (-2)\/2 - 8632\/25896)\/(-1)\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 683609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 116353010?\nAnswer: 2, 5, 101, 115201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 6 + -4 + (5 - 13) - 1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13492414 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the second derivative of h**4\/12 - 7*h**3\/6 - h**2\/2 + 3*h - 15. Determine i(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h - 8. Let m be a(-7). Let z be (-13 - m)\/(3\/(-2)). Suppose 0 - z = -4*g. Which is smaller: g or 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 greater than or equal to 205403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 93394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-585)\/16)\/9 - -4. What is the smallest value in 3, j, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/2, 9.4, 0, 1328\/5, 10 in ascending order.\nAnswer: -3\/2, 0, 9.4, 10, 1328\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*p**3 + 6*p - 5*p**3 + 9*p - 22*p in the form v*p**2 + q*p + h*p**3 + z and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 818.8537 millennia in years?\nAnswer: 818853.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vivkkkvikkvvk. What is prob of sequence vki?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -9559*z + 10544*z + 54175 for z.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 2*b**2 + 13*b - 2. Let p be j(0). Put 9, -9, p in increasing order.\nAnswer: -9, p, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 0*b + 4920 = 0. Let y be (6 - b) + 6\/(-3). Suppose -3*d = -y - 2556. What is d rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13391 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:29 PM and 2:32 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:33 PM and 12:40 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*l**3*t**2 + 21*l*t**3 + 6531*t**3 wrt l.\nAnswer: 6*l**2*t**2 + 21*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -3*z - 8. Let i(h) = 5*h + 12. Let c(g) = g**3 - 7*g**2 + g + 1. Suppose 4*x = -2*d + 10, 8 - 12 = 4*x. Let t be c(d). What is t*q(k) + 5*i(k)?\nAnswer: k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 658 = -4*b - 4570, 3*b + 5*m + 3961 = 0. Find the common denominator of (2\/(-12))\/(16\/b) and 43\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 15926*d + 605176. Determine h(-38).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21232?\nAnswer: 2, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the third derivative of 1\/15*j**4 + 1\/150*j**5 + 0 + 1\/5*j**3 + 7*j**2 + 0*j. Factor z(l).\nAnswer: 2*(l + 1)*(l + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 3188 = 3*h, -6*h + h - 9550 = -3*i. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -12*v**3 - 2*v**2 - 7*v + 4. Let a(m) be the second derivative of -11*m**5\/20 - m**4\/6 - m**3 + 3*m**2\/2 + 113*m + 3. Determine -7*a(z) + 6*x(z).\nAnswer: 5*z**3 + 2*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 420084146 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = 4*c - 89. What is the remainder when 1976\/39 - (8\/6)\/(-4) is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000274745003 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1047 + 1102. Which is bigger: 70 or v?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5261 is divided by 62?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.058 and 1364656837049.\nAnswer: 1364656837048.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (41 + 5 - 12)*(2*u**3 - 4 + 4 + (-2*u**2 + u**2 + 0*u**2)*(-5*u + 0*u + 6*u) + u - 2*u**3 - u)*(-3 + 1 + 9).\nAnswer: -238*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 109\/1191262 and -1\/6.\nAnswer: 3573786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51 = b - 3*f, 5*b - 279 = -8*f + 11*f. Calculate the remainder when b is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 - 0. Let j(h) be the first derivative of h**3 + h**2 - 2*h - 109. What is the units digit of j(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the first derivative of 2\/3*l**3 - 1 + 2*l - l**2. Suppose 4*x + 5*i = 33, 0 = -3*x + 2*i + 1 - 5. Calculate s(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 25 and 660?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 947559.\nAnswer: 3, 257, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yuztuzytu. Give prob of picking 2 z and 1 u.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*k = -83 - 322. What is the highest common divisor of 477 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43*0.01.\nAnswer: -0.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1230447457 to the power of 1\/5, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*h + 4*h + 3*h - 5*h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -27321838*x*z**3 - 13*x*z**2 + 8*x*z + 17*x + 60*z wrt z.\nAnswer: -163931028*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -5*z**2 + 2*z**2 - z**2 + 8*z**2 - 2 - z. Let h be q(-1). Let m(u) = 7*u - 1. What is the lowest common multiple of 14 and m(h)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 113*m**5 + 3 - 15*m**5 - 140*m + 4*m**5 + m**5 wrt m.\nAnswer: 2060*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 896323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*c - 5 - 18*c + 18*c)*(0*c**2 + c**3 + 0*c**2).\nAnswer: 16*c**4 - 5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 47 - 14211?\nAnswer: -14142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/6930 and -63\/40.\nAnswer: 27720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/5  (b) -401.791  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10101 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-7612875)\/5360)\/303*(4\/(-3))\/(-1).\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/11 in 25, 2\/11, 1\/2, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**2 + 4*p + 2. Let g be v(0). Let m be 26 - 2 - (g - 1). Calculate the greatest common divisor of 253 and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21*(162\/63)\/9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*a - 11690 = 41367. What is the thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -687 bigger than -687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r + 5*q + 40, q + 5 = -3*r - 4*q. Suppose -j - j + r = -l, 0 = 3*j - 3*l - 9. Let w = -4 - -8. Solve 4*f - 5 = -b - j*b, -4*b + 16 = -w*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -25\/153 and -111\/170.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6261, -12944, -19675, -26478, -33377, -40396, -47559, -54890?\nAnswer: -62413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 137 + -136.97. Let b = h + -0.23. Sort b, 0, 3, -7 in descending order.\nAnswer: 3, 0, b, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (447948\/62215)\/(4\/10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -273.1 + 271.793. Let u = -0.307 + 0.28. Let q = u - f. What is q rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-1))\/(189\/(-252))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-68)\/119)\/((-56)\/686)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3 - 3)*(-3 + 10 - 1)*((1 + 2 - 2)*(-4 - 2*x + 4) + (-4 - 3 - 3)*(2*x + 4 - 4)).\nAnswer: 264*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 688303919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in thirteen fifths of a day?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 422*n - 3334. Determine w(8).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -281.527 - -20.2?\nAnswer: -261.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 4, 0.2, 0.4, 71736\/17, 0.3, 12\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 5*q**2 - 79*q + 3. Let i(g) = g**2 + 1. Calculate -a(z) + 4*i(z).\nAnswer: -z**2 + 79*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 4912262 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 20*w**2 + 894*w + 3594. What is the remainder when o(-4) is divided by 123?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1295419 or 1295417?\nAnswer: 1295417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 37 = 5*i + 18, 0 = 3*x + 4*i - 5. Suppose s = x*s - 18. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 - (-6 - 10) - (-4 - 12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 2544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4035 + -21.\nAnswer: -4056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -92787950311.712 less than 0?\nAnswer: 92787950311.712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -76 - -76. Suppose -189*v + 184*v + 50 = h. Suppose -f = v*f - 759. Does 23 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and -164.\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-1)\/(-11))\/(287\/15785). Let i(x) = -x**2 - 8*x + 3. Let b be i(-7). Solve g*d = b, -p + d - 7 = -d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 25.97  (b) -0.03  (c) -0.1  (d) 6  (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/5 + 428\/10. Suppose c = o - 30. Let n = o - 30. Calculate the remainder when n is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i + 39*i - 17*i)*(-33*i**3 + 5*i**3 + 10*i**3).\nAnswer: -342*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.06 and -187.509?\nAnswer: 11.25054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1 and -10588464.\nAnswer: -1058846.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5918454 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4931.768 rounded to the nearest ten?\nAnswer: 4930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7.72 - -3.72. What is the closest to 0 in 465, -2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 20*d + 84294 - 83854 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7705.458ng to milligrams.\nAnswer: 0.007705458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (10\/(0 + 2))\/1. Suppose 4 = 2*m - 5*f + 1, 7 = 2*m - f. Let w be (2\/(-12))\/((-1)\/2). What is the smallest value in m, n, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 64, 78, 98, 124, 156?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in eighteen fifths of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.00126275743253 and -0.1.\nAnswer: -0.10126275743253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1347 - 201?\nAnswer: 1146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that z**2 - 3640328*z + 3312996986896 = 0.\nAnswer: 1820164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**3 - 15*d**2 + 27*d - 9. Let i be v(13). Suppose -7*w + i*f + 28 = -9*w, -5*w + 5*f = 130. Let c = 0.2 - -3.8. Put w, -3\/4, c in decreasing order.\nAnswer: c, -3\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -235b (base 15) to base 3.\nAnswer: -101022012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.941 and -105.81?\nAnswer: 99.56721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*(-3)\/(-9)*-1*-2.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1808 and 1243.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12817*i**2 - 12816*i**2 + 25631*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -31 - (3 - 23) - (-45 - -9)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 6 = 30. Let k be (-6)\/(-1) + 4 + i. Suppose 0*z + 8 = -k*z + 4*b, 4*z - 3*b = -1. Solve m - 1 = z*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 180\/(-648)*4\/(-10).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 3, a: 4, m: 6}. What is prob of sequence aass?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 6*k**2. Let q = 80 - 128. Let h = q + 107. Let g(t) = 0*t**2 + h - 59 + 4*t**2. Calculate g(m(o)).\nAnswer: 144*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) 0.7  (b) -63  (c) -0.04  (d) 8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 781, 2574, 5539, 9682, 15009, 21526?\nAnswer: 29239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**3 - 7*q - 8. Calculate p(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/10, -1\/5, 4, -4.\nAnswer: -4, -1\/5, -1\/10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153) - (sqrt(153) + sqrt(153)*-3*5))\/sqrt(9).\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 684*g**3*u**2 - 92*g**3*u + g**2*u + g**2 + 2*g*u**2 - u wrt u?\nAnswer: 1368*g**3 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*9\/15*(-10)\/(-8).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -18*q**2 - 52*q. Let u(k) = 2*k**2 + 6*k. Let d(s) = -6*j(s) - 52*u(s). Let x(p) = 4 - 4 + p**2. Determine d(x(c)).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 9*t**4 + 135*t**3 - 796*t**2 + 474*t + 1354. Let z(u) = 4*u**4 + 68*u**3 - 395*u**2 + 237*u + 678. Let v(k) = -6*y(k) + 14*z(k). Factor v(i).\nAnswer: 2*(i - 3)**2*(i + 1)*(i + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3567 + -723?\nAnswer: 2844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -2*i**2 - 8*i + 3. Let x(q) = -2*q**2 - 7*q + 2. What is -5*m(p) + 6*x(p)?\nAnswer: -2*p**2 - 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -249, -484, -719?\nAnswer: -954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-42)\/9)\/(2\/(-36)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**3 - 2502*u**2 - 1460301*u - 1457800.\nAnswer: -(u + 1)*(u + 925)*(u + 1576)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -130*c + 2494. Calculate g(14).\nAnswer: 674","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3796?\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002746315 to 6 decimal places.\nAnswer: 0.000275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes before 11:18 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 - -154974067\nAnswer: 154974067.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:22 AM and 12:17 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -20 * -0.4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*x**2 + 10*x**2 + 6*x**2 + 0*x**2.\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1196 - -1197. Put -52, -3, 2, f in ascending order.\nAnswer: -52, -3, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 84*h - 6. Let j(g) = 85*g - 5. Let a(o) = 4*j(o) - 3*t(o). What is the hundreds digit of a(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 6\/25 of a microsecond?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -7*b**2 - 12*b + 6. Let a(m) = -13*m**2 - 23*m + 11. Let z(l) = 6*a(l) - 11*n(l). Let g be (15\/9)\/((-1)\/3). Calculate z(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.883 + -0.783. Let u = -0.02 - 1.98. Let k = 13 - 11. Which is the nearest to 1?  (a) k  (b) x  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 38.9 + 910\nAnswer: 948.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 993.7367 kilograms in nanograms?\nAnswer: 993736700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 16518680 to the power of 1\/2, to the nearest integer?\nAnswer: 4064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(1\/5)*q)**24 assuming q is positive.\nAnswer: q**(144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the second derivative of -11*p + 5\/168*p**7 + 3\/16*p**5 + 0*p**2 + 0*p**3 + 0 + 1\/8*p**6 + 5\/48*p**4. Find i, given that z(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2548 and 3164?\nAnswer: 287924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -295 + 301. Let f = r - 6.2. Let u be -1 + 0 + (-19)\/(-21). Which is the nearest to 0.2?  (a) -2\/5  (b) f  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x**3 - 7*x**2 - 8*x - 7. What is s(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/((-20)\/5*1\/(-10))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 69\/8 and 36\/305.\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -5*a + 4*a. Suppose a = -x + 6. What is the third derivative of 0*u**2 - u**3 + x*u**2 - u**3 wrt u?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/3  (b) 164\/7  (c) 0.1  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 71 + -72. Let u(r) = r. Let z(k) = k**2 - 11*k - 26. Let n(b) = m*z(b) + 5*u(b). What is the units digit of n(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 38731.77ng?\nAnswer: 0.00000003873177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7094325 to the nearest integer?\nAnswer: 2664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ae when two letters picked without replacement from aooooeevooeuoooeeouy?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 8\/3 of a hour?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -368967.02 to the nearest one thousand.\nAnswer: -369000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 5*c - 5. Is t(4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 (base 15) in base 16?\nAnswer: 2f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 - 3. Let p be (n - -2) + 2\/11. Let z be ((-160)\/1280)\/((-1)\/(-8)). Which is bigger: p or z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (6\/(-18))\/(40\/(-600)). Put 2317, 3, m, 1 in ascending order.\nAnswer: 1, 3, m, 2317","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 85650 = 14*w. Let j = w + 30992. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -3369, -7251, -11133, -15015?\n\"Answer: -3882*q + 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -45.8922 to zero decimal places.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/16 - 0)*(-1749 + 517)\/(-616)\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.61 - -0.0077?\nAnswer: -0.6023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - ((-55 - -12) + 27)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from qqeqmeqeyeqeemeqqe?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16099 is divided by 90.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3.5 - 2. Let m = c + -1. Let t be (-8*2\/6)\/6. What is the nearest to 0.4 in t, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -5*q + 6. Let w be n(0). Let j be (w\/(-18))\/(((-532)\/(-40))\/7). Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 453 is divided by 127.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -581\nAnswer: 1\/581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 27527241*p**3*s**3 + p**3*s**2 + 3*p**3 - 2*s**2 - 1931126*s wrt s.\nAnswer: 165163446*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 4 - 6 = 0. Suppose 4*q + m - a*m = 24, 0 = -3*m. Let x be 3\/(-36) + q\/8. What is the nearest to x in 2, 1\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 465 (base 13) to base 12.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r*(r*r**(-5))\/r*r\/r**(1\/16)*r)\/(r**(-1\/20)\/r**(-1\/5)) assuming r is positive.\nAnswer: r**(-97\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 times 0.26?\nAnswer: 27.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 407932224 divided by 3?\nAnswer: 135977408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7356 is divided by 44.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of -280 and 4.\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the second derivative of -14*u**3\/3 - 18*u. Let i(j) = 4*j - 5*j - 2*j. Calculate f(i(g)).\nAnswer: 84*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**2 - 10*p + 10. Let h = -17 - -26. What is g(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.0648 + 0.4648. Which is the nearest to k?  (a) -6  (b) -4  (c) -7  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 339*b - 341*b - 10*b**5 - 250*b**5 + (2*b + b - 4*b)*(1 - 2*b**4 - 1).\nAnswer: -258*b**5 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 9 + 94*b - 263*b + 96*b + 76*b. Let s(a) = a + 1. What is -4*s(k) + w(k)?\nAnswer: -k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 132332123220 (base 4) in base 3?\nAnswer: 120021112121020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 322547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -24.1  (b) -1  (c) 2\/7  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the second derivative of -391*z**5\/10 + 123*z**3\/2 + 257*z. What is the second derivative of c(j) wrt j?\nAnswer: -4692*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**3. Let j(d) = 6*d**3 - 13*d**2 + 2*d + 13. Let s(h) = -2*i(h) + j(h). Is s(12) 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 {u: 2, o: 7, w: 7}. Give prob of picking 2 o.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 172 = 5*x - 142, -x - 12 = -z. Solve l = -2, -z*l = 2*f - 20*l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 76, -5 in descending order.\nAnswer: 76, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put together -8607 and 0.2.\nAnswer: -8606.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 658, 650, 636, 616, 590, 558, 520?\n\"Answer: -3*u**2 + u + 660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*sqrt(117) - sqrt(52)\/(sqrt(4) - (sqrt(4) - sqrt(144))).\nAnswer: 89*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v + 2. Let w be u(0). Let g be (-4)\/24*16\/(-40)*-5. Which is the second biggest value?  (a) w  (b) 16  (c) -2  (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -7  (b) -0.3  (c) -0.2  (d) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3  (b) 113  (c) -2\/3  (d) 31  (e) -7.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -33, -55, -77, -99, -121, -143?\n\"Answer: -22*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(504)\/(sqrt(968)*-1 - sqrt(968)))\/((sqrt(36)\/sqrt(4) + sqrt(9))*-4 + sqrt(9) + sqrt(9) + sqrt(27)\/sqrt(3)*3).\nAnswer: sqrt(7)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 309 divide 106669687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**3)**(-14))**(2\/11) assuming m is positive.\nAnswer: m**(-84\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -336*b**2 - 67*b - 7. Let s be u(-2). Round s to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1037 + -9370\/9. Find the common denominator of d and -76\/63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 2*r + 5. Let a(l) = 4*l + 10. Give -4*a(h) + 7*t(h).\nAnswer: -2*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 0 + (10 - 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1087282\/126*2\/(-228). Let d = 1428\/19 + i. Calculate the common denominator of 107\/48 and d.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -3.3445676 and 185939.82.\nAnswer: 185936.4754324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1951577, -1951585, -1951593, -1951601?\n\"Answer: -8*s - 1951569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 109\/3640 and 79\/16.\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*i - 50*i - 252 = 21*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h - 8. Let z(s) = 3*s + 24. Let c(l) = -17*u(l) - 6*z(l). Let p be c(-12). Suppose -4*q = -p*g - 12, 4*q = 3*g + 5 + 9. Solve g*r = r + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h + 1. Let c be f(0). Which is smaller: 3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*t + 21 + 7767. Let m = t + 1856. Does 31 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i**3 + 3*i**2 - 2*i**2 - 5*i - 1 + 3*i. Let g be r(-2). List the prime factors of 1 + -1 - 3\/g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 3*r - 9. Let g be v(8). Suppose -g + 9 = -2*p. Factor -j**4 + 27*j**3 + 6*j + 16*j**4 + 94*j**2 - 73*j**2 + p*j**5.\nAnswer: 3*j*(j + 1)**3*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x + 5*w - 13 = 0, -29*x = -26*x + 11*w - 17 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in 9, 0, 0.227?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/16 + 46\/(-8). Let x(n) = 2*n**2 + 7*n - 8. Let o be x(c). Suppose 24 = 4*f - 4*z, -4*f + 2*f + 4*z + o = 0. Solve 2*r + f = -5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is p in 326026*p**3 - 51857244*p**2 + 3038486*p + 636 = 0?\nAnswer: -2\/9589, 1\/17, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 2 = -2. Let f = 6 - m. Let c = f + 3. Sort -4, -2, c.\nAnswer: -4, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 1 + 9 = 0. Let g(j) = 5*j + 20. Let b be g(-4). Suppose 4*i = -3*z + 1, -4*i = -b*z + r*z + 6. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40968710.\nAnswer: 2, 5, 4096871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 minutes before 12:06 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (z - 24 + z + 22)*(z**2 + z**2 + 0*z**2) to the form t*z**3 + d*z + s*z**2 + h and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -2002 (base 3) to base 5\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -5*z + z + 2*z + 5*z. Let m(b) = 5*b. Let v(g) = 14*g. Let s(c) = -8*m(c) + 3*v(c). Calculate s(i(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 + (-9 - 22 - -3).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*r**2 + 278*r**3 + 0*r**2 - 166*r**3.\nAnswer: 112*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -78*v - 1. Let o be b(-1). Calculate the greatest common divisor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and 49.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -52, -68, -90, -118, -152, -192, -238?\n\"Answer: -3*l**2 - 7*l - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1a35345 (base 11) to base 14\nAnswer: -655189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12425 - 11760. Calculate the remainder when a is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 426 a factor of 186148794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -113 + 94 = i - 5*k, 0 = 2*i + 4*k - 18 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (99\/27)\/(-11) + (-150)\/198.\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 14 + 4\/2 - 4. Suppose p = 3*k + k. Suppose r = -3, -5*r + 45 = k*s - 0*r. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 8*o**2 + 7*o + 4. Let q(w) = -8*w**2 - 6*w - 3. Calculate 5*j(f) + 6*q(f).\nAnswer: -8*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -33*b**3 + 3*b**2 - b. Let d be v(6). Let a = 2126 + d. What is a rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 2*s + 15. Let b be u(-6). Let t(x) = b + 92*x - 44*x - 43*x. Determine t(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = -2*w - 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h - 30 = -30. Solve t + t - 3*d = -25, h = 3*d - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 248*(-7)\/7 - (-6 - -7). Is v > -246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83*x - 75 = 8*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 703 minutes before 1:51 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*g - 1 + 2*g - 1.\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/9, -5\/13, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a = 3*o + 205 - 203, -3*a + 8 = -o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -8002631281 rounded to the nearest one million?\nAnswer: -8003000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 425 = -134*h + 6455 for h.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3092 - 1140. Suppose -i - 551 = -g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from {g: 1, c: 5, r: 3, t: 1, l: 4, y: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 105 + 30 = 0. Suppose n = 4*j + 285, -n + 7*j - 9*j + 303 = 0. Calculate the highest common divisor of p and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 487 is divided by 162.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 983708719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -408061*j**2 + 203982*j**2 + 204085*j**2.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 322270.\nAnswer: 2, 5, 13, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o - 4*n + 163, -2*o + 61 = 9*n - 6*n. Let q be 0 - -9 - 35\/(o\/5). Solve 0 = -3*k + q*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**2 + 3*s + 54. Determine f(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j - h + 3700, j = -3*j + 4*h + 4944. Let k = -345 + j. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6737369 and 301.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 17182 and 77?\nAnswer: 120274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 14600 (base 7) in base 4?\nAnswer: 333203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*w - 13*w + 2*h + 11 = 0, -12*w - 4*h = 36. Let d(l) = -119*l + 4. What is d(w)?\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14*f - 23*f**2 + 11*f**2 + 10*f**2)*(381*f - 381*f + 88*f**2).\nAnswer: -176*f**4 + 1232*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 54 = -0*u. Suppose 5*k - 2*s = -99 + 257, 0 = 3*k + 2*s - 98. Let x = u + k. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1748467 less than -9528.26?\nAnswer: -1757995.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, 268, -19, -3, -0.062?\nAnswer: 268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes after 1:52 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s + 4*s - 5*a = 1, 3*s - 2*a = 6. What is the second derivative of -20*d - 3*d**s - 80*d**2 + 80*d**2 wrt d?\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2.8 - -1.2. Let m = -63 - -129\/2. What is the third smallest value in m, c, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1))**(-5)\/(b**1\/((b\/b**3)\/b)) assuming b is positive.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11698\/25 + -468. Put 0.4, 3\/5, q, -0.2 in decreasing order.\nAnswer: 3\/5, 0.4, q, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 228*w + 17. Let y be r(1). Suppose y = a - 3*v, -4*a = a - 4*v - 1247. Calculate the remainder when a is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -60*w + 8. Let r be n(-2). Suppose -r = -4*z - 4*z. Let a = 1 - -39. What is the greatest common factor of a and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 279*z**3 + 5*z**2 + 13*z - 2. Let w(i) = 276*i**3 + 4*i**2 + 13*i - 2. Let n(q) = -4*p(q) + 5*w(q). Find the second derivative of n(u) wrt u.\nAnswer: 1584*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 3*k + 4. Let t be (-2 - (-6 - k)) + (-2)\/(-1). Suppose -t*h = -4*w - 456, 0 = -5*h + 3*w + 270 + 294. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**2. Let g(a) = -a - 6. Let p be g(-11). Let n be (-10)\/(-4)*(-12)\/(-10). Let u(d) = p*d - d - n*d. What is q(u(l))?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 11, -6, -3, 0 in descending order.\nAnswer: 11, 0, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**2 - 8*i + 2. Let y be l(-8). Let d(o) = -3*o**y + 4 + 2*o**2 + 2 + 6*o. List the prime factors of d(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(126))\/sqrt(9)*-2)\/(-1*sqrt(18)*2).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((6\/(-45)*3)\/((-557)\/7241))\/(3\/15).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 53040 and 4352.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.5 or -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 1 = -9. Suppose 0 = -33*v + 35*v - 8. Sort v, x, -4 in descending order.\nAnswer: x, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 404*o - 7722 = 19*o + 15378 for o.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + 9 - 0 - 0) + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 14) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.06 + 1.56. Let v = 6.5 - z. Which is the smallest value?  (a) -0.3  (b) 2\/7  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 59.61006t to milligrams.\nAnswer: 59610060000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**3 - 15*c**2 - 17*c - 36. Let s(o) = 3*o**2 - 2*o - 4. Calculate the remainder when s(3) is divided by p(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16950 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -1055 (base 8) to base 10\nAnswer: -557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 + (5 - 1) + -5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 305550\/(-2910) - 52\/(-2 + 0)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (-24 - (-34 - 16))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.3  (b) 653  (c) 0.5  (d) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-729)\/27 + 29 - (-18)\/1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1094\/(-6) + 24\/18. Let i = b + 183. Determine p so that 0*p**i + 0*p + 2\/5*p**5 + 2\/5*p**4 - 4\/5*p**3 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**2 + 10*t + 19. Let h be v(-8). Put 5, 1, h, -4 in increasing order.\nAnswer: -4, 1, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -81 - -137. Let d = -37 + f. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 357856?\nAnswer: 2, 53, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*v - 797 = -14895. Calculate the remainder when (-4 - v\/(-7)) + 8 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5*24\/320)\/((-3)\/(-12)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1003664384 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:25 PM and 11:59 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {q: 1, s: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0 - 0)\/(-1*2). Suppose c = 3*k - 6, -3*s = -7*s - 2*k + 4. Suppose s = -9*x + 8*x. Solve x*q - 20 = 4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/(-16)*(-36)\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12390 is divided by 360.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 231.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 3*f**2 - 2 + 341*f - 167*f - 170*f + f**2 - 3*f**2. What is w(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/14, 32, -2\/5 in decreasing order.\nAnswer: 32, -5\/14, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -ae5c (base 16) to base 15.\nAnswer: -d35b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**3\/5 - 1024*r**2\/5 - 23112*r + 816480.\nAnswer: -2*(r - 28)*(r + 270)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1492847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1525 in 3\/8, 0.2, 4006\/5?\nAnswer: 4006\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is (-7176)\/(-28) + (5\/7 - 1) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -562615 and 9841.\nAnswer: -552774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 8 = -32. Let h(l) = -l**3 - 21*l**2 - 27*l + 52. Is h(y) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3200) + 2*sqrt(3200))**2 + (2*sqrt(32))**2*-3 - (sqrt(2) + sqrt(20)\/(sqrt(10)*2) - -2*sqrt(6)\/sqrt(3)).\nAnswer: -7*sqrt(2)\/2 + 28416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is dab3 + -62?\nAnswer: da51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 - 1 - (0 + -3). Suppose 0 = -8*f + 9 + 15. Suppose f*a - 802 = -2*a - 3*i, 0 = -3*a + j*i + 462. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2\/10)\/(20\/(-40)). What is the nearest to k in 0.5, -6, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*q - 28 = 38*q. Which is the nearest to 3?  (a) -0.06  (b) q  (c) 3  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 2, g: 1, w: 2, j: 2, i: 1, n: 1}. Give prob of sequence icwg.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*j + 3*n, 4*j - 9 = -9*n + 8*n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 608*w**2 + 260*w + 261. What is t(-1)?\nAnswer: 609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) 0.5  (b) 3\/2  (c) -1  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**21*n**16 assuming n is positive.\nAnswer: n**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 824149499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 557925 and 115670?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 144351094 to the power of 1\/2, to the nearest integer?\nAnswer: 12015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 135164, 270332, 405498, 540662, 675824, 810984, 946142?\nAnswer: 1081298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(2\/5)\/a*a**(1\/13)*a*a*(a\/(a\/a**(-12)*a))\/(a**(3\/5)*a) assuming a is positive.\nAnswer: a**(-853\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjcjcjcccjjjjj. Give prob of picking 4 j.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 7\/3 or -1722904?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.4204 rounded to 2 dps?\nAnswer: 3.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3*(16\/32 + 6\/(-8)). Let g = 26 - 26.1. Suppose -4*x + 36 = 8. What is the biggest value in h, x, g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o\/(o\/((o*o**(-6)\/o*o*o*o)\/o*o)))*(o**(-2)\/o)\/o*(o**(2\/5))**(-16))\/((o**1*o*o)\/((o\/o**2)\/o)*o\/o**5*o**6\/o) assuming o is positive.\nAnswer: o**(-62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-1)\/3)\/(1\/(-12)). Suppose r - 5 = -c, v*c + c = 15. Let s(o) = -o**2 - 3*o + 1. Let w be s(-3). Solve 3*z + w = r*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -102, -404, -908, -1614?\n\"Answer: -101*p**2 + p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -80242, -160461, -240640, -320755, -400782, -480697, -560476, -640095?\nAnswer: -719530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n + 2*n. Suppose n*l + 5*l = 20. Suppose 2*a + 10 = a - 5*s, s = -l. Solve 9*i - 4*i = a for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 3*y - 14. Give f(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 132082, 132117, 132152, 132187?\n\"Answer: 35*t + 132047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 757840 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from daaadaddaadaaaaa. Give prob of picking 3 a.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.1 + -6.2. Let t = -0.1 - r. Which is the smallest value?  (a) t  (b) -3  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-1)\/3)\/(44252\/(-8853) - -5). Does r = -228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**5 - 5*f**4 + 6*f**3 + 22*f**2 - 37*f + 15.\nAnswer: -(f - 1)**3*(f + 3)*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 343 and 436198?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ijjkikkkkkek. Give prob of sequence je.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 15\/(-24)*-4 - (-39)\/(-6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -2*9\/18*-7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 113415887?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s + 4. Let i be y(-2). Suppose -i*g - 10 + 2 = 0. What is the units digit of (-1)\/g - (-93)\/12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*i**2 + 269 + 266 - 540 as o*i**2 + t + q*i and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2356 = -4*k + 4*a, -4*a = -2*k - k + 1770. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2985, -3033, -3081, -3129, -3177, -3225?\nAnswer: -3273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7132 = 10*x + 158*x + 22084 for x.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 73722533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + 0 + (4 - 5) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -697 + 697. Suppose -3*i + w = 6*w - 16, 4 = -i + 3*w. Solve l + i*l + 12 = k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 109511256599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8 - 7. Let z be (4\/(-16))\/(-8 + (-2)\/(-8)*41). What is the closest to n in 0.4, -5\/3, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1730?\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {b: 1, i: 5, v: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 374699.2km?\nAnswer: 374699200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 23*l - 149652*l**4 - 5 + 299302*l**4 - 3*l**2 - 149654*l**4 to t*l + r*l**2 + g*l**4 + v*l**3 + h and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -2*f + 5. Let d(j) = -1. Let c = 45 + -44. Calculate c*q(k) + 2*d(k).\nAnswer: -2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 83592 divided by -10449\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-161 + 9*q**3 + 161)*(-49 - 3 + 16) + (3 - 3 + 2*q**3)*(-7 + 2 + 1) + q**3 - 3*q**2 + 3*q**2 + (-4*q**2 + q**2 + 2*q**2)*(4*q - 6*q + q).\nAnswer: -330*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**3 - 4*c**2 + 5*c - 2. Suppose 3*q + 2*a - 9 = 0, 2*a + 4 = 3*q - 5. Calculate the remainder when 6 is divided by y(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-32)\/(-18) - (-8)\/36. Let x(m) = 18 - m**3 - 2*m**2 - 7*m**p + 9*m**2. Let y(n) = -4. What is 4*x(h) + 18*y(h)?\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 278 - 252. Suppose -3*x - 5*i - 104 = x, x = 3*i - v. Round x to the nearest integer.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 11*z - 1 = 6*z, 0 = 3*p + 4*z + 10. Let o(j) = -2*j**2 + j + 1. Let q(n) = -n. What is p*q(r) - o(r)?\nAnswer: 2*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y - 4*d = -13, 3*y - 4*d = -y + 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**2 - 8*t + 3. Let u be v(8). Suppose 4*h = 2*p - 20, u = 5*h - p + 25. Let z(r) = r**2 + 6*r + 1. Give z(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**2 - 7*m - 13. Let q be y(9). Suppose 0 = -3*s - q*b + 1201, s = -4*b + 189 + 223. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jbg when three letters picked without replacement from bbbbblrbjbjgrrjjbbbj?\nAnswer: 5\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 divided by -100.\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-19)*s*s*s\/(s*s**(16\/7)\/s)*s assuming s is positive.\nAnswer: s**(-121\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes before 11:49 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.05, 1, 3\/4, -0.4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the first derivative of -19*d**4\/2 - 3*d**3 - 2*d**2 + 7*d - 312. What is the tens digit of w(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7+-212992047359\nAnswer: -212992047352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 3*b**2 - 4*b - 2. Let u(g) = -48*g**2 + 63*g + 33. Let y = -10 - -43. Let n(p) = y*j(p) + 2*u(p). Solve n(i) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -149\/24 and -29\/69.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3226\/3 + -1074. Let p(o) be the second derivative of -o + g*o**3 + 0 - 15\/2*o**2. What is the derivative of p(h) wrt h?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9992*g**5 - 88*g**3 + 5424741*g**2?\nAnswer: -599520*g**2 - 528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -765*h**3 + 4*h**2 + 1595*h + 2. Let n(j) = -1529*j**3 + 10*j**2 + 3189*j + 5. Let b(z) = 2*n(z) - 5*u(z). Find the second derivative of b(q) wrt q.\nAnswer: 4602*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x\/x**(1\/8)*x)**(5\/9)*(x*x**(-35))\/((x\/(x\/x**(5\/3)))\/x) assuming x is positive.\nAnswer: x**(-2381\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**2. Let f(c) be the second derivative of -1\/12*c**4 + 0 - 1\/2*c**2 + 0*c**3 + c. Let q(a) be the first derivative of f(a). Determine m(q(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 7522730*p. Let z(x) = -3*x**2. Calculate z(f(r)).\nAnswer: -169774399958700*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 0*f = -n - 32, -5*n - 40 = -2*f. Let y(w) = 40*w**3 + 4*w**2 - 2*w - 1. Calculate the remainder when y(1) is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (48\/(-704))\/(3\/(-11))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.635 times 1\nAnswer: -0.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 2*f - 2, -2*f - 7*y + 3*y = 4. Suppose 9 = -3*h - f. Let r = h - -4. Which is greater: r or 1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -9347*b + 5830 wrt b.\nAnswer: -9347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7712*t**3 + 7818*t**3 + t**2 - t**2 + 115803*t - 115800*t.\nAnswer: 106*t**3 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 1 = -7. Find the second derivative of -4*d + 0*d**2 - 3*d**4 + 8*d**4 + 0*d**x wrt d.\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2\/3, 2\/5, 210, 0, -1\/4?\nAnswer: 210","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-6)\/(-3))\/2 + -4. Let s = -1 + 3. Suppose 0 = -0*w - 4*w - 20. Sort v, s, w in increasing order.\nAnswer: w, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u. Let b(g) = 2*g**2 - 3. Let p(k) = -5 - 10 - 2 + 11*k**2. Let o(v) = -34*b(v) + 6*p(v). What is o(n(z))?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 9\/(-16)*1302\/(-63) and 18\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 106\/1653887 or 0?\nAnswer: 106\/1653887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in twenty-one halves of a hour?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -79*v - 77. Let u be i(-1). Solve -24*h = u - 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -147548 + 1032852\/7. Solve 58\/7*w**2 + f*w - 10\/7*w**5 - 34\/7*w**4 - 24\/7 - 6\/7*w**3 = 0.\nAnswer: -2, -1, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10*(-1)\/(-1)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 101202 (base 3) to base 14\nAnswer: 16a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 130\/6 + ((-5)\/3 - -1). Suppose 26 - c = -p. Put p, -1, 5, 2 in decreasing order.\nAnswer: 5, 2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**2 - 6*g - 4. Suppose -4*d + 0*d + 44 = 0. Calculate the remainder when d is divided by w(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 4*z**2 - 7*z - 1. Let g(v) be the first derivative of -3*v**3 + 7*v**2 + 2*v - 8. Let q(p) = -7*c(p) - 3*g(p). Let b be q(7). Is -2\/19 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 4*z - 8, -3*z - k = -1 - 5. Suppose 14 = z*f - 66. Let p = f + -27. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*n**2 + 2*n**4 + 2*n**2 + (-3*n + 2 - 2)*(-21 + 21 - 4*n**3) to the form s*n**2 + a*n**4 + m*n**3 + o + h*n and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -47 minus 894270?\nAnswer: -894317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -218.56 - -215. Let o = s + -0.44. Sort o, -5, -2 in ascending order.\nAnswer: -5, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 387940 and 1666.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 70257115?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4689 + -52?\nAnswer: 4637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 20*f**2 - 14*f. Let m(s) = -14*s**2 + 10*s. Let c(d) = 5*j(d) + 7*m(d). Let u(o) = -39*o. Determine c(u(k)).\nAnswer: 3042*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 2*n**2 - 260*n - 7437. Give v(-24).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 55.21 + -205562573\nAnswer: -205562517.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qbb when three letters picked without replacement from {w: 6, v: 1, q: 5, b: 2, u: 5}?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28 + 0.0478.\nAnswer: -27.9522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 16535, -0.16, 5?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44000287?\nAnswer: 44000287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 - -3579161?\nAnswer: 357915b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 149, 171, 207, 257, 321?\n\"Answer: 7*r**2 + r + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -206 - -209.96. Let l = x - -0.34. Let d = 0.7 + l. Which is the nearest to 1\/2?  (a) 2  (b) d  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 212 - 25513015?\nAnswer: -25512403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes before 2:13 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11, -1, 13, 31, 53, 79, 109?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 2404*x - 3*x**3 - 2434*x - 2*x**3 + x**2 + 18 + 7*x**3 as d*x**3 + o*x + y + b*x**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 1 = t. Suppose -5*s + 1985 = -7*m + 2*m, 0 = -t*m. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 7100211 and -0.6.\nAnswer: 7100210.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-336)\/18)\/7*(1944\/(-16))\/27.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 13890566?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lxgllglxlgll. Give prob of picking 3 l.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-three fifths of a millimeter in micrometers?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-1680)\/(-15 + 30) - (-349 + 344)\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 533 = -k + 662, 5*k = x + 711. What is the remainder when 222 is divided by k?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1008 and 7434?\nAnswer: 59472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*h - 2*w + 11 - 7, 6*w + 8 = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1204183797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 - a)*(1038905 + 12*a - 8*a**2 - 1038905) as t*a**2 + i*a + p*a**3 + b and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -46  (b) 271  (c) -7  (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 9\/(-4) - 5\/(-20). Let k(s) be the first derivative of -s**4\/4 - 16*s**3\/3 - 14*s**2 + 2*s + 34. Let w be k(-14). Put b, w, -1 in increasing order.\nAnswer: b, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p - 4*d - 11 = 0, -5*d - 27 + 21 = -4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -763 + 2194. Suppose 276 = -15*r + s. What are the prime factors of r?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 5*p = 69, -4*v + 4*p - 130 = 6*p. Let o be ((-9)\/(-4))\/(4 + 132\/v). Is (-536)\/(-6) - (-6)\/o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 442*a + 6294 = -7408 for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k\/k**(2\/9)))**(-32)\/((k\/(k\/((k*(k\/(k\/(k\/((k**(-4\/15)*k)\/k*k))))\/k)\/k)*k))\/(k*k*(k\/(k*k*k**13))\/k*k*k)) assuming k is positive.\nAnswer: k**(-737\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 69\/2 of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, 8, 5, -3, -241, 3 in decreasing order.\nAnswer: 15, 8, 5, 3, -3, -241","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4204059 and 1281?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ymy when three letters picked without replacement from {c: 5, p: 2, j: 6, y: 3, m: 2}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3  (b) -1\/8  (c) -3  (d) -5\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in six fifths of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0, -3\/5, -4\/7, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -14 + 32. Let q be (l\/12 - 169\/(-2)) + 2. Calculate the greatest common divisor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 122719.1 kilograms in tonnes?\nAnswer: 122.7191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 53\/6 and 125\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 316*w**2 - w + 2*w - 318*w**2 + w**4 to the form i*w + l + c*w**2 + o*w**4 + y*w**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeexeeexxeexexeexxe. What is prob of sequence exx?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.00725294 and 0.5.\nAnswer: 0.49274706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -4418018 divided by -818?\nAnswer: 5401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2976188?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the third derivative of -7*k**5\/60 - k**4\/6 - 2*k**2 - 867. Let r(d) = d**2 - d. Determine 12*r(x) - 3*t(x).\nAnswer: 33*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1754ce (base 16) in base 14?\nAnswer: 2bb330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 54436247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 11  (b) -1  (c) 0  (d) -66302  (e) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -3*v + 1005 + 3904, 4*v - 4*c - 6552 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-28)\/(-49))\/((-370500)\/13650).\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the first derivative of u**3\/3 - 9*u - 4. Let g(z) be the first derivative of h(z). Let n(p) = 6*p. Calculate n(g(v)).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j + 39 = -3*z - 11, -3*j - 2*z = 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 > 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) 27\/2  (b) 671  (c) -2\/13  (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*q - 451 = -159*q + 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-93)\/7 + 3\/((-147)\/(-14)). Let l be (-69)\/(-15) + g\/((-130)\/4). Suppose 61 = -3*d - 14. Sort l, -3, d in increasing order.\nAnswer: d, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -187889230 + 0.89.\nAnswer: -187889229.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 64011042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 14 = 3*z. Let v be 0 - 0 - (-8 - -5). Solve -v*h - 2*h = -2*s + 10, 4*h = -z*s - 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4804734835?\nAnswer: 5, 960946967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 753*o + 2332*o - 175*o - 33*o + 236*o.\nAnswer: 3113*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 13*a + 1010 = 0. Let y = 62 + a. Let b = 36 + y. What is the third smallest value in 0.02, 4\/7, b?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -18.46835 + 0.06835. Do x and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.04 + 0.54. Which is the fourth biggest value?  (a) -0.3  (b) t  (c) -0.5  (d) 4  (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 226, 951, 2168, 3877, 6078, 8771, 11956?\nAnswer: 15633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -2*w**3 - 106*w**2 - 428*w - 1505. What is n(-49)?\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 7018*x - 22 + 1 + 7006*x as v*x + j and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5726093?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-22)\/6 + ((-40)\/12 - -3). Let j(o) = -4*o. Let a be j(q). Let t = a - -11. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = 2*w - 161. Suppose -58 = -2*f + w. Suppose -2*c - f = -5*c. Does 19 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9.7 + 9.896. Let z = -0.19599636 + c. Round z to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -c**2 + 85 - 34 - 38 + c**3 + (-5 + 2 + 4)*(-3 - 2*c**3 + 3).\nAnswer: -c**3 - c**2 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 81\/2*t - 18*t**2 - 1\/4*t**4 - 135\/4 + 7\/2*t**3.\nAnswer: -(t - 5)*(t - 3)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100 - 10 = -q + 2*i, -2*q = 2*i - 244. Is q a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1912662, -1912628, -1912594, -1912560?\n\"Answer: 34*l - 1912696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4962060704.\nAnswer: 2, 3989, 38873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -0.043, 0.3, -7.2 in decreasing order.\nAnswer: 1, 0.3, -0.043, -7.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -8, 15883, 1, -0.3, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 101 - 5. Let u = a + -86. Calculate the smallest common multiple of 4 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -57*u**2 - 6*u - 3. Let n(g) = -2 - 36*g**2 + 7056*g - 14128*g + 7068*g - 2*g**2. Determine 5*h(w) - 7*n(w).\nAnswer: -19*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3404*t**2 - 2*t - 13273 wrt t.\nAnswer: -6808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19*l + 11*l**2 + 19*l + 3*l**2 to u*l + h + t*l**2 and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -636818.82 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 22.746113 to zero decimal places.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 7*y + 1. What is the units digit of f(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2027470479 to the power of 1\/2, to the nearest integer?\nAnswer: 45027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/6 and 47\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -18 - 12*d + 12 + 7 in the form q + b*d and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**2 - 6*n + 3. Let l be a(-6). Suppose -l*d + 4*g + 1 = 0, 0 = -5*d + 3*g - 5*g + 19. Suppose 11 = d*x - 4. Sort x, -1, -3 in increasing order.\nAnswer: -3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -35.6 + 39.6. Sort f, -3\/2, -2\/19, -152 in descending order.\nAnswer: f, -2\/19, -3\/2, -152","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20424579, 40849155, 61273733, 81698313, 102122895, 122547479?\nAnswer: 142972065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 2  (b) 6  (c) -2\/7  (d) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1\/11  (b) -7  (c) -0.07  (d) -1\/45  (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 22968 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 672 + -9437\/14. Find the common denominator of 50\/(-32)*(-2538)\/(-4935) and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -230 - -1592?\nAnswer: 1362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 3, -109, -2 in decreasing order.\nAnswer: 3, 1, -2, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 742\/(-91) + (-4)\/(-26). Let b = d + 15. What is the remainder when 34 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 3*f + 36 = 0. Let w = f - 22. Calculate the remainder when 26 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**2 + 7*d. Let s be a(7). Suppose 5*l + 7 + 48 = s. Let v = -1 - l. What is the greatest common factor of v and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 3, u: 8}. Give prob of picking 2 u.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the second derivative of q**5\/20 - q**4\/4 - q**3 - 2*q**2 - 11*q. Calculate the remainder when 31 is divided by f(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*v - 4*v + 12*v - 60*v**2.\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21 + (-2 - (2 - (10 - -2)) - 5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the first derivative of -w**2 - 18*w + 3. Let d be o(-8). Sort -1\/3, d, 17 in decreasing order.\nAnswer: 17, -1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**3 + n**2 + 3*n - 2. Let f be q(2). Suppose f - 2 = -b. Determine h, given that 0 - 1\/2*h**b + 1\/2*h = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/21 + (-226)\/112)*460\/345.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6395265 and 230?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 35883742 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*w - 9*j - 141, 0 = -72*w + 77*w - j + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + (13 - 8) + 18 + -16 - -12?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43 = -34*d + 59. What is the remainder when 44 is divided by (-340)\/(-102) - 1\/d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 181106 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 44849772 a multiple of 427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - u = 3*a, 0 = 2*u. Suppose -10*r - 58 = -39*r. Solve 4*g + a - 4 = 0, 5*g = -r*b - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -190447.1 rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i + 5. Let q(f) be the second derivative of -f**3\/2 - 7*f**2 + 41*f + 3. Calculate -3*q(b) - 8*v(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 137271 less than 137270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 595723548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 4*j + 11. Let w(t) = -3*t**2 - 18*t - 6. Let v be w(-6). Let x(d) = -2*d - 5. Determine v*p(k) - 13*x(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -6745617?\nAnswer: 4\/6745617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-73739 + 0)*(-2)\/(-24). Let y = 6156 + n. Let c = -198601\/440 - -4951\/11. What is the common denominator of c and y?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -3*w. Let r(i) be the third derivative of 0*i**4 + 0 + 131\/60*i**5 - i + 0*i**3 + 144*i**2. Determine q(r(a)).\nAnswer: -393*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (57\/(-285)*50\/32)\/(15\/(-6)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -55*r - 14. Let q be z(7). Let g = q - -443. Let n = 11 - -12. What is the remainder when g is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4840388 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 195765 and 30.\nAnswer: 391530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u**3 - 10*u**2 - 9*u + 3. Let m be b(-9). Suppose -s - 2*f = 8, 2*f = -m*s - 0*f - 16. What are the prime factors of (60\/s)\/(1\/(-2))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 136080*k**2 + 1035921 + 7130092 + 1512*k**3 + 1760750 + 1404*k**3 + 2116800*k + 1049237.\nAnswer: 4*(9*k + 140)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5300749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2609, -2617, -2625, -2633, -2641, -2649?\nAnswer: -2657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 188*h**4 + 17.\nAnswer: 752*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -9*i**4 + 4*i**3 + 17*i**2 + 4*i + 334. Let a(d) = 2*d**4 - d**3 - d**2 - d. Let m(x) = -4*a(x) - v(x). Differentiate m(q) wrt q.\nAnswer: 4*q**3 - 26*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1332 and 509823.\nAnswer: 2039292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 110553486 is divided by 36851158.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5412 and 16896?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 41183533, 41183538, 41183545, 41183554?\n\"Answer: j**2 + 2*j + 41183530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 69\/436 and (-6)\/545*44795\/(-62) + -8.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -17\/20 in -3\/5, -4, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-4 + sqrt(539) + 2*(sqrt(539) + 1*sqrt(539)))**2.\nAnswer: -280*sqrt(11) + 13487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(19) + -1*sqrt(2299))**2 - sqrt(475)*3) + 5.\nAnswer: -15*sqrt(19) + 1905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 297*d - 292*d - 4*d**2 + 2 + 3. Let g be a(-2). Let l be 3*(-2 - -6 - 3) - g. What is the greatest common factor of l and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/6)\/(11\/(-4191)). Let v = 227 - b. What is the greatest common divisor of v and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -71 + 62. Let s(f) be the second derivative of -f**4\/12 - 3*f**3\/2 + 5*f**2 + f. Is s(c) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15 - 15 - 11*c)*(4 + 2 - 5)*(c + 4*c + 2*c)*(0 - 4 + 1).\nAnswer: 231*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = 3*p - 17 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.325 from -119.\nAnswer: -118.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 2\/13, 4, 5, -1\/7, 4\/7, 197?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 37345 + -37326. Which is the closest to x?  (a) 13  (b) -0.1  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + k + 5*l + 23 = 0, -k - 2*l - 12 = 0. Let r(w) = -7 + 5 + 3*w - 1 + 5*w**2 - 52*w**3 + 6 + 53*w**3. Calculate r(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -30230508.1 to the nearest 1000000.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (46\/(-23))\/(2 + (-16)\/6). Let l(i) be the first derivative of n - 4*i - i**2 - 1\/3*i**3. What is l(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (8 + (-2 - -2)) - -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 185*t + 183*t - 367*t + 8. Let u be (-2 + 1)*1*5. What is x(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 19*n**3 + 11*n**2 - 226*n. Let z(i) = 4*i**3 + 2*i**2 - 45*i. Calculate -4*r(p) + 22*z(p).\nAnswer: 12*p**3 - 86*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*h + 1454489 = 55*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**2\/4 + 3035*u\/4 + 3037\/2.\nAnswer: -(u - 3037)*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**2 + 26*x - 50. Determine f(24).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*s = 650 + 166. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 846 + -1517. Let j(k) = 199*k + 5. Let c be j(5). Let o = r + c. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is (-156)\/(-52)*-11*1?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -110640000 rounded to the nearest one million?\nAnswer: -111000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 6964143258 to the power of 1\/3, to the nearest integer?\nAnswer: 1910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 - -5. Let o(z) = 3*z**3 - 4*z**3 + z**2 + 10 - 6*z - 5*z**t - 3*z**2. Let b be o(-6). What is the greatest common factor of 25 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -174.7002 - -90414950.\nAnswer: 90414775.2998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.18422 rounded to 2 dps?\nAnswer: 8.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 280.141 meters?\nAnswer: 28014.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 34611\/3869 = 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -27600 rounded to the nearest one thousand?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 119839.4 - 119839. Suppose 0 = -4*o - 3*g - 12, g + 20 = 2*o - 4*g. Which is the closest to o?  (a) n  (b) 0  (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 17420?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -25084210*o + 1530522 with respect to o.\nAnswer: -25084210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2\/717 - -89\/3346. Let n = k + 61\/84. Suppose 16*f + 24 = 10*f. What is the nearest to 2 in f, 0, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 500*f**2 - 668*f + 668*f in the form z*f**2 + r + c*f and give z.\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 7094.627mm in meters?\nAnswer: 7.094627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*p**2 - 224092*p - 224088 = 0. What is p?\nAnswer: -56022, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7175\/(-273000) + (-6)\/(-117))*12 - 2\/90.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3 - (1 + -14)*3. Let x = a - 29. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 18 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((4 - 4 - 2)*(2 - 2 + 2) + 0 - 3 + 5 - 11 + 3 + 0)*(35*p + 302*p**2 - 35*p) to the form f*p + i*p**2 + b and give i.\nAnswer: -3020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*q - 9*q + q - 1026 = 0 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1968 by 8.\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-135)\/(-20) - (-3)\/(-4). Solve 8*w - 6 = q*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*g**2*k**3 + 335*g**2 + 56*k**4 + k**3 - 2*k wrt k.\nAnswer: 24*g**2*k + 672*k**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.5  (b) -3764  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjvjvkjjjkjvkvjj. Give prob of sequence jvkk.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 17*z**2 - 27*z + 27. Let k be t(1). Which is greater: 15 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 342669101 to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 15) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 989947?\nAnswer: 7, 89, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0052936799 rounded to five dps?\nAnswer: -0.00529","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Express (-1386*k + 876*k + 1129*k)*(-4*k**3 + k**3 + 2*k**3 - 1) as n + z*k**4 + t*k**2 + o*k + l*k**3 and give z.\nAnswer: -619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -944 and 1724?\nAnswer: -1627456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in h**2 + 11*h**3 - 15*h**3 - h**2.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 10 = -3*w, w + 0*v = -3*v + 8. Suppose 85 = o + 2*y - 75, -3*y = 2*o - 321. Calculate the lowest common multiple of w\/7 - o\/(-21) and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 61*k**2 - 15*k - 50. Is 24 a factor of a(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -18*h**3 + 257 - 27*h - 165*h**2 - 511 + 254 = 0.\nAnswer: -9, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 625406910 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: Let b = -114473\/11740 - -2\/2935. Find the common denominator of b and 47\/17.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**3 - 9*c**2 - 21*c - 11. Let f be m(11). Let j(t) = t**2 - 2*t + 5. Let u be j(f). Is 14 a factor of u + 101\/2 + (-1)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -715 + 360 + 19*y - 3*y**2 + 355.\nAnswer: -3*y**2 + 19*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16548)\/1848 - (-3)\/(-66)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10837894559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/7 of a week in days?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -519375, -519379, -519383?\nAnswer: -519387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of -1 - 4 - (4 - (-369)\/(-9)) and 2?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 722955 is divided by 138.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 3*j, x - 2*j = 21 - 27. Solve x = -164*d + 171*d + 35 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 52 + -207\/4. Let a = 207 + -202. What is the closest to -1 in 0.1, a, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iji when three letters picked without replacement from jii.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 99 a factor of 415510227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -2*s**2. Let n(h) = 71752*h + 428. Calculate n(m(p)).\nAnswer: -143504*p**2 + 428","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -7296, -14614, -22002, -29496, -37132, -44946?\n\"Answer: -6*o**3 + o**2 - 7279*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 7 = 1. Suppose -3*u + 468 = y*u. Is 26 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 336475 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15341 - 15315. What is the remainder when 1684 is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes before 6:03 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the first derivative of -h**3\/3 + 20*h - 104. Give i(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 + -4. Suppose 4*k - 2*k + 5*n = 0, 15 = 5*k + 5*n. Let p be (-7)\/(-5) - 4\/10. Put k, p, l in decreasing order.\nAnswer: k, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -18 - -37. Suppose -2*c + 15 = -k. What are the prime factors of c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -s**3\/5 - 9941*s**2\/5 - 4654299*s + 7230221037\/5 = 0.\nAnswer: -5109, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -36*w**2 + 14*w + 1. Give m(2).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -631246*o**2 + 5*o + 631244*o**2 - 5*o.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 38 = 66. What is the highest common factor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49646*a**3 + 24872*a**3 + 24907*a**3.\nAnswer: 133*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 b when two letters picked without replacement from {d: 2, c: 3, r: 1, b: 1, y: 6}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 112 = 47*s + 215 + 1260 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*-942.349.\nAnswer: 188.4698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -272 + 276. What is the remainder when ((-1375 - v)\/(-7))\/((-3)\/(-6)) is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/6)\/(20 + -19)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110000 (base 2) to base 13.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -3*i + 11. Let b = i + 3. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -34\/465 and -19\/11903907?\nAnswer: 59519535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -6 - f**2 + 6. Let s(a) = -6*a. Determine s(p(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1479*n + 8895 + 33996 for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0 - (-1)\/((-1 - 3)\/(-12)). Suppose 35 = i*u + 10*c - 12*c, -4 = -2*c. What is the remainder when u is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00156716678 rounded to five decimal places?\nAnswer: 0.00157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5301 - -9028. Let p = c + -3727.00001711. Round p to six decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -9*q + 17 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 3*h**2 + 675*h - 1924. Let i(a) = -a**2 - 7. Let k(s) = -f(s) - 8*i(s). Let k(m) = 0. Calculate m.\nAnswer: 3, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-129525)\/110*(-1 - 1) is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + ((-3 + sqrt(2) + sqrt(2))**2 - sqrt(2)) + 2)*-4.\nAnswer: -88 + 52*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 16757483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the first derivative of j**6\/180 - 13*j**5\/90 + 6*j**2 - 167. Let s(n) be the second derivative of d(n). Factor s(k).\nAnswer: 2*k**2*(k - 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 + -2373?\nAnswer: -2366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -7*h*j**3*x - 2*h*j - 2*h*x - 2*h - 20*x wrt j.\nAnswer: -21*h*j**2*x - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -2*i**2 + 7*i - 81. Give l(0).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2  (b) 0.31  (c) 370  (d) -5  (e) -2  (f) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-18)*27\/(-9)*1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 + 7. Let b(d) = -d - c*d + 4*d. Let f(r) = -8*r + 2. Calculate 6*b(g) + f(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes before 1:48 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/((m**(-7)*m)\/m*m))**(-27) assuming m is positive.\nAnswer: m**(-189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 64 and 448?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -184 - -307. Find the common denominator of -51\/10 and (r\/(-40))\/(21\/(-14)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.2, 24, -5, -1.2, -2, 3\/14?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -45  (b) 0.3  (c) -2  (d) 0.1  (e) -58\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -702 + 714. Calculate the remainder when 83 is divided by -2 + 0 + 7 + h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5855907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 118*k + 2232 = -161*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4636 or -52?\nAnswer: 4636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 (base 5) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4688 + 4682 - 12*c + 4692 + 4686 - 18751.\nAnswer: -12*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (608\/48 + -10)\/((-8)\/(-27)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -3*((4*(sqrt(1584) + (sqrt(1584) - (sqrt(1584) + 1 - sqrt(1584))) + 2 + 2 + sqrt(1584) + -1))**2 + 1) + -5.\nAnswer: -684491 - 6912*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -24.86, -1, 235?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j - 8*j - j. Let z(u) be the third derivative of -u**6\/60 - 21*u**3 + 2*u**2 - 18*u. Let d(w) be the first derivative of z(w). Determine d(h(s)).\nAnswer: -384*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -647*x - 120 = -623*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f - 42 + 14 = 3*f - 2*h + 40, -3*h + 96 = -3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 69\/138*(-1 + 2). Sort 1, -1602, o in decreasing order.\nAnswer: 1, o, -1602","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 176*z - 5083. Let w be r(29). Solve 31 + w = -52*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 944118803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 202 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u*(u**3*u)\/u*u*u*u**(-1\/4)*u**(-3)*(u\/(u\/(u\/u**(-7)))*u)\/u*(((u**(-7)*u)\/u)\/u**(-4\/3))**44 assuming u is positive.\nAnswer: u**(-2863\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1707 is divided by 130.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the third derivative of g**6\/15 - 2*g**4\/3 - 12*g**2. What is the second derivative of d(r) wrt r?\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3 - 9) + (-17 - -19)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add 50825.469 and 3.\nAnswer: 50828.469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4769997\/(-9) - 1 - (-8)\/12. What is n rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 20\/(-5) - 8\/((-8)\/4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = 3*c + 7930, -12*o + 10*o - 4*c = -3198. Suppose -3*j = 2*q - 1564, -4*j - 2*q + o = -497. Is 25 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -134 * 15106\nAnswer: -2024204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s = -s. Suppose 0 = -4*o - s*o - 4. Suppose -5*a - 8 = k, 5*a - 186*k = -181*k + 40. Put o, 21, a, 5 in decreasing order.\nAnswer: 21, 5, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*k = 3*m - 30, k - 10*m = -8*m - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the third derivative of 0*m**4 - 121\/6*m**3 - 7 + 0*m**5 + 0*m - 1\/120*m**6 + 4*m**2 - 1\/5*m**7. Find the first derivative of k(i) wrt i.\nAnswer: -168*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 43627*f**2*z + f**2 + 4*f*z + f - 394617*z with respect to f.\nAnswer: 87254*f*z + 2*f + 4*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:28 PM and 11:12 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 148312001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**2 + v + 1. Let r be y(2). Let w(f) = -2. Let l(a) be the third derivative of -29*a**2 - 1\/24*a**4 + 5\/6*a**3 + 0*a + 0. Calculate r*w(c) + 2*l(c).\nAnswer: -2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is c9 - 4?\nAnswer: c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t + 18 = 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.018 - 0.318. Let j = -2.9 - -0.3. Let z = j - -2. Which is the third biggest value?  (a) 5  (b) z  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0\/(-1))\/(3\/3). Let z = 5 - a. Suppose -z*c + 77 = -3. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*m**2 + 4*m**2 - 3*m**2 - 33 - 6 + 10*m**2 in the form t*m + y*m**2 + o and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6.5999938 + -6.6. What is w rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 662 minutes after 3:26 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2 + -2)\/(-4) + (3 - 2). Suppose -145 + 17 = -5*f - o*t, 5*t = -5*f + 125. Solve 8*d + 10 = f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1279, 2582, 3889, 5188, 6467, 7714, 8917?\n\"Answer: -2*g**3 + 14*g**2 + 1275*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4668.8912 rounded to the nearest 10?\nAnswer: -4670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k - 3*k - 228 = 0. Let t = -2 - 3. Calculate the remainder when k is divided by (-76)\/t - (-1)\/(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7706922 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.32 times 3.2?\nAnswer: -1.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/7*(-66)\/132*1.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**2 + 16*p - 1. Let s be h(16). Let y be (-6 - (-1 - (1 + 1)))*s. Solve -4*l - 5*u - 4 = 0, -y*l - u = -2 + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 379 in 1\/5, 3, 1365?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 767*d**3 + 806*d**3 + 1163*d**3 - 643*d**3.\nAnswer: 2093*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2221.099 litres to millilitres.\nAnswer: 2221099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 35\/(-1)*18\/126?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 18, p: 2}. Give prob of sequence pp.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-14) + (34380\/(-150))\/((-420)\/(-100))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14396946.\nAnswer: 2, 3, 19, 47, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -14.91 * -0.1021.\nAnswer: 1.522311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -5865, -4670, -3475, -2280, -1085?\n\"Answer: 1195*g - 7060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tiit when four letters picked without replacement from {i: 8, t: 5}?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 30 + -30.1. Which is the nearest to q?  (a) 2\/7  (b) 1\/6  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the third derivative of 0 + 1\/504*d**8 + 4\/27*d**3 - 1\/90*d**5 - 1\/945*d**7 + 2\/27*d**4 + 0*d + 28*d**2 - 11\/540*d**6. Find j, given that s(j) = 0.\nAnswer: -1, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d**4 - 11*d**4 + d**4)*(3*d - d - 4*d) + 45*d**5 - 76*d**5 + 40*d**5 + (-d + d**4 + d)*(-3*d + 3*d - 4*d) - d**5 + 3*d - 3*d.\nAnswer: 22*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11 + -2. Suppose -24*w + 751 + 2432 = 231. Calculate the lowest common multiple of w and r.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 13679419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(832)*-4)**2 + sqrt(13)).\nAnswer: -26624 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 5 = 2*u. Let n = -15 - -19. Suppose 2*y - 5*y = -r - 1, 62 = u*r + n*y. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20 divided by -7\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 146 divide 10658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -29.94 - -30.14. Which is the smallest value?  (a) -3  (b) -0.064  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 - -5 - -304) + -2. Let k(c) = -c**3 + c**2 - 27*c - 134. Let i be k(-4). What is the highest common factor of d and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 569, 759, 1031, 1421, 1965?\n\"Answer: 6*p**3 + 5*p**2 + 133*p + 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1725 and 11109.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 45 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -59*w**2 - 68. Let t(d) = 726*d**2. Calculate h(t(s)).\nAnswer: -31097484*s**4 - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7827*i + 1887 with respect to i.\nAnswer: 7827","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 20101571909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15*30\/(-3150))\/(2\/(-154))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 105 = -r - u, -3*r + 105 = 4*u. Let t = 17 + r. Suppose -t = m - 5*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1617005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -3*a - 1. Let i(x) = -6*x - 3. Let o(g) = 3*i(g) - 5*n(g). What is the tens digit of o(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in b - 5 - 6 + 16.\nAnswer: b + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 232441 and 14691808?\nAnswer: 1921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -2  (b) -0.18  (c) 24\/19  (d) -1\/23  (e) 0.2  (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.11 - 0.01. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -75 by -40.\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 3*l**2 - 45*l + 145. What is the tens digit of s(29)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11*m*z**3 - 5*m*z**2 + 1379*z**3 - 12800*z**2 - 1 wrt z.\nAnswer: -66*m + 8274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -96 = -158*f + 126*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the third derivative of -r**4\/12 + r**3\/3 + 2*r**2. Determine k(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**2 + 4*h. Let r be d(3). Suppose -18*l + 312 = -15*l. Let f be 1*-3*l\/(-24). Solve -5*x - 11 = -r*y, 3 = x + 2*y + f for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m - 1. Let l(w) = w + 10. Let r(s) = 6*a(s) + 2*l(s). Let n be ((-6)\/8)\/(2\/(-8)). Let v be r(n). Solve 12 = -u - v*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes before 1:40 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -859*a - 2611*a - 550*a + 6 - 3*a - 6 + (0 + 1 - 2)*(3*a - 5*a + 0*a).\nAnswer: -4021*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the second derivative of -13*j - 1\/6*j**3 + 0 + 0*j**2. Let t(v) = 5*v. Let o(s) = 18*q(s) + 4*t(s). Let f(l) = -7*l. Calculate f(o(g)).\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41 = -34*d + 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -35445 divided by 211?\nAnswer: -35445\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**6\/n)\/(n\/n**5*n)*(n\/(n**(-7)\/n))\/((n**(2\/13)\/n)\/n) assuming n is positive.\nAnswer: n**(245\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 16617 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:49 AM and 6:39 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.1, 618\/5, -94, -4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 70 + -47. Let r be (-1 + -1)\/(10\/25). Let f = w + r. What is the greatest common factor of f and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -73*t - 141 - 151 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from dkdwdwwdwwwdkkd.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**2 + 96*t + 10020. What is c(-63)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18266659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**3 - 18*a**2 - 2*a + 91. What is the remainder when r(-18) is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -39141653*m + 27652991 with respect to m.\nAnswer: -39141653","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*z**4 + z**4 + z**4 + (0*z - 2*z + 4*z)*(0 + 0 + z**3) + 5*z**4 - z**4 - 3*z**4 to the form g*z**2 + p*z**4 + q*z**3 + o + a*z and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 9*s. Let b be q(1). Suppose -3*f + o = -1 + 3, -4*f - b = 5*o. Let z be (-1 - -2 - 1)\/f. Solve z = 7*u - 3*u - 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the first derivative of -1\/10*l**5 + 0*l + 0*l**2 + 5 + 1\/24*l**6 + 0*l**3 + 1\/16*l**4. Factor x(y).\nAnswer: y**3*(y - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-1\/4)\/l)**(3\/23)\/((l\/l**(-6))\/(l**(-7)*l*l)) assuming l is positive.\nAnswer: l**(-1119\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -153 (base 6) to base 7.\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lrrrrrrlrarae. Give prob of sequence aa.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**2 + 2*y**2 - y**3 + y - 6 + 3. Calculate q(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 12795*f**3*k + 83*f**2*k + 188*f*k wrt f?\nAnswer: 76770*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 505*f = -502*f - 19718, 39472 = 2*h + 2*f. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 139261196?\nAnswer: 2, 277, 125687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 215186*q + 212983*q - 164950*q.\nAnswer: 263219*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 100111002111 (base 3) to base 5\nAnswer: 21433231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*r - 0 + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 491573 is divided by 400.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 30 in 2\/6997, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**2 - 45*n + 193. What is q(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 719 minutes after 9:07 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000011011503 rounded to seven dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 95 + -92. Calculate the remainder when 31 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lyh when three letters picked without replacement from dydysyhyylds.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from ddddkdddkddddkdddd.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 43 (base 15) to base 2\nAnswer: 111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 273537644?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(5*(sqrt(1088) + -5 + -3)*3 + -2))**2.\nAnswer: -29280*sqrt(17) + 259684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-75)\/(-100))\/(1\/(-20))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -45495 divided by 1011\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 2821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -10?  (a) 0  (b) -1.26  (c) -2\/9  (d) 0.5  (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -705*a**2 - 385*a**2 + 381*a**2 - 4*a**3 - 2*a**3.\nAnswer: -6*a**3 - 709*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 42\/5 of a decade?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2993 - -2995. Solve -h*u - 4*k = -0*k + 24, -4 = k for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - 0) + 1 + 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + sqrt(99) + 5*sqrt(99)*2)**2 - (4 + -4 + sqrt(99)*-2))*-6.\nAnswer: -71970 + 1548*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 7539 and -174.85.\nAnswer: -1318194.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2\/(-4))\/((-6)\/24). Solve 0 = 5*o + h + n - 18, -5*o - 5*h = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 7}. What is prob of picking 2 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c**4\/7 + 4548*c**3\/7 + 2863106*c**2\/7 + 554597016*c\/7 + 2172868928\/7 = 0. What is c?\nAnswer: -1384, -443, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 76*t - 20. Let n be r(1). Suppose 2*f - 7*f + 420 = 0. Calculate the highest common factor of n and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 439624698 to the nearest integer?\nAnswer: 20967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 382112.\nAnswer: 2, 11941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 458 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -959 + 958. Let m(i) = 4*i + 2. Let z(g) = -4*g - 1. Let l(y) = 2*m(y) + 3*z(y). Let p(f) = f. What is o*l(w) - 6*p(w)?\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -2, 81, -3, -4 in descending order.\nAnswer: 81, 10, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u**3 - 4*u**2 + 5*u - 10. What is k(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -556 - -553. What is the fourth biggest value in 3, 0.3, 6, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13928?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47666892.\nAnswer: 2, 3, 7, 13, 43651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Solve 431*t - 434*t - 14 - 44 = g, 0 = 7*t + g + 138 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in k**2 - 1242*k + 1242*k.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3541744 greater than 3541743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 6*i - 3*i - 23 = 0, -4*i = 5*m - 29. Suppose z - 82 = 77. Suppose 4*y - z - m = 0. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18*d**2 + 15*d - 15*d)*(d + 2*d + 0*d)*(6 - 1 - 1)*(2 - 7 + 0).\nAnswer: 1080*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 + -59. Let m = -15 - o. Is 20 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 126839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -334333720 divided by -56\nAnswer: 5970245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from attwatlwatwtatwtlaw. Give prob of sequence la.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -274, -676, -1214, -1888, -2698, -3644?\n\"Answer: -68*a**2 - 198*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1 - (-16)\/(-4)) + 6. Solve -t*b + 9 = -0*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 11500 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 754114115 and 725?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1974470085?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 5*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 12 = -18. Let h(k) = -14 - b + 2*k + 21. Let a(q) = 9*q - 13. Calculate -6*a(y) + 26*h(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, k: 1, b: 4, g: 4, m: 3}. Give prob of sequence oom.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 37813*v - 453767. Determine b(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -3704*q - 425957. Calculate b(-115).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2753a - -1?\nAnswer: 27540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -g - 0*g. Let x = 1164 + -1170. Calculate the common denominator of x\/g - 319\/77 and -91\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 3*u + 5 + 8 - 4*u. Let b be s(17). Let z = 0 + b. Put -3, z, 0 in descending order.\nAnswer: 0, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 17126 + -1267491\/74. Which is smaller: w or -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1359 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -2*o**2 - 1702*o + 24016. Calculate p(14).\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (26*11\/(-88))\/(4\/16).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 7 + 0 + 7 + -8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4267\/11 - -388. Let w = 1.95 + 0.05. Which is the third biggest value?  (a) y  (b) 1  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1444079 and 15925.\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h**3 - h**2 - h. Determine t(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 62\/(3968\/96)*-38*9\/9?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the second derivative of x**3\/6 - 11*x. Let i(c) = c. Determine i(o(a)).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 39\/7925 and -31\/95.\nAnswer: 150575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t + 4*d - 315, 1518 = 5*t - 0*d + d. Which is bigger: 301 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 95 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 243*z**2 + 13*z - 49. What are the prime factors of o(3)?\nAnswer: 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17549 is divided by 17502.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 13 + 5. Suppose -2*q = -u - y, q - 54 = 3*u - q. Let i = -18 - u. Solve 0 = s - i*s - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 17.8576 and -121.\nAnswer: -2160.7696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 161 a factor of 10261035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -5, 275, -1 in ascending order.\nAnswer: -5, -1, 3, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -11207a0 - 1?\nAnswer: -11207a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of -1985*(-42)\/30 - (1 + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 197 = 9*q - 109. Suppose -2*w - 18 - q = -4*o, -44 = -4*o - 2*w. What is the highest common divisor of 96 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3013231 and 3627?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y - y - 13 = -b, 0 = -5*b - 4*y + 41 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 8 = 4. Solve -4*s = -3*b + 35, b + 4*b = h*s + 45 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 93\/(-3)*-1 + 1. What is the highest common divisor of 128 and p?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1192, -2289, -3384, -4477, -5568, -6657, -7744?\n\"Answer: n**2 - 1100*n - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-7\/3)\/t**(-1\/12))\/(t**(-2)\/(t\/(t\/t**8))) assuming t is positive.\nAnswer: t**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 27, -18, -91, -192, -321, -478?\n\"Answer: -14*s**2 - 3*s + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*t + 49*t = 90. What is the smallest common multiple of t and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -46*t + 124. Suppose -12*z = -5*z + 49. What is the hundreds digit of c(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-12)\/9 + 78\/18. Suppose -y + 70786168 = -v*p, 0 = p + 2 - 3. Let g = -42286171 + y. What is g rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 38 - (17 - -32 - 34) - 132.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6101, 6135, 6199, 6299, 6441, 6631, 6875?\nAnswer: 7179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6527151 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 572886986?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**3\/7 + 150*q**2\/7 + 2736*q\/7 - 2888\/7.\nAnswer: 2*(q - 1)*(q + 38)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a + 71. Is h(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17 + 84. Calculate the remainder when m is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 20 and 366.\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1736526.\nAnswer: 2, 3, 11, 83, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p - 2*p - 7 + 59. Let s be a(0). Suppose -4*b + i + 122 = 0, 0 = 2*b - 0*b + 4*i - s. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = 2*v - 8*v. Suppose -7*i + 1 + 6 = v. Suppose -5*t + 0*t + 20 = 0. Put i, -2, t in descending order.\nAnswer: t, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 20 = 2*t, 2*t = g - 5*g + 20. Let j = 0.054 - 10.954. Let c = -11 - j. What is the third smallest value in c, 1\/4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 960 - 553. Suppose -z*a = -409*a + 1912. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 59514641 + -13714661. Suppose -21278318 = 3*a + 2*l + 47421674, -5*l = 2*a + f. What is a rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 23 - 19. Solve -2*q - 4*n - n = 1, -z*n = 5*q + 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -6*j**3 - 1. Let z(v) = -3 + 9*v**3 - 8*v**3 - 20*v**3. Let h(c) = 7*u(c) - 2*z(c). Find the first derivative of h(s) wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 254*20.489\nAnswer: 5204.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -3, 0.149, 2\/17, 1087, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -45.4299 and -0.2.\nAnswer: 9.08598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the first derivative of 372*v**3 - 2825*v**2\/2 - 3079. Find the second derivative of n(h) wrt h.\nAnswer: 2232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/(31\/(5270\/119))*(-3)\/(-36).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 57 - 54. Let f be 0\/2*4\/(-8). Let x be (-8)\/16*(-8)\/(-3). Which is the nearest to 0?  (a) f  (b) o  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 9*m - 4. Let z be 0 - (28\/2 + -2). Let q(g) = -22*g + 10. Let c(u) = z*s(u) - 5*q(u). Let d be c(2). Solve -j + d = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 300*d + 15. Let l be a(5). What is the hundreds digit of l\/6*(-32)\/(-40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.82591 rounded to 1 decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-2\/5)\/d)**34\/(d**(-3\/7)\/d**(-5\/6))*d**(-1\/10)*((d**(-1\/8)*d)\/d*d*d)\/d*((d*d\/d**(-6))\/d)\/(d*d\/(d*d*d*d\/d**(-3))) assuming d is positive.\nAnswer: d**(-29593\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 106442 is divided by 53199.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-10)\/6)\/(4\/(-18960)). Round s to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 48\/(-156) - 28\/(-91). Let z = -9\/23 + 95\/184. What is the smallest value in z, x, 0.3, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -2*t**3 + 16*t**2 + 2637*t - 21103. Determine i(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from awwza.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 0.4  (b) -4  (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -91 - -128. List the prime factors of g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/4 - 42\/72*1. Let d = -0.2 + 0.4. Sort d, a, -2 in increasing order.\nAnswer: -2, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 124780223?\nAnswer: 269, 463867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16927795?\nAnswer: 5, 3385559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 - ((-95 - -104) + (4 - (-4 + 76)))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than -1803\/1786387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4 + -4 - (-1)\/2. Let p = -377.89 - -374. Let d = p + -0.11. Which is the smallest value?  (a) -2  (b) d  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(208) + 0 + sqrt(208))**2 + (sqrt(26)\/sqrt(2)*-4)**2 + (3 + -3*sqrt(832))**2)*-1.\nAnswer: -8537 + 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = -t - 6, 2*x - 6*x = -2*t + 18. Suppose -t*a = -0*b + 5*b + 30, 3*a = -4*b - 30. Is 1418\/2*(a - -11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7 + 22. What is the highest common divisor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -24 or -220\/9?\nAnswer: -220\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.14997 and -0.1.\nAnswer: -0.24997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -4*d**3 + 11*d**2 - 9*d - 5. Let n(g) = -2*g**3 + 6*g**2 - 4*g - 3. Give 5*n(h) - 3*v(h).\nAnswer: 2*h**3 - 3*h**2 + 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1071 + 1086. Which is the closest to 0?  (a) -1\/2  (b) -5  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7075 (base 10) to base 11\nAnswer: 5352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 60\/36*(-9480)\/(-56) + (-2)\/14. Is y at least 282?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-53 - (30 - 43)) + 14 + -2?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*b = -4*b - 800. Suppose -g + 5*l + b = 4*l, 156 = 2*g - l. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 2*m + 4. Let u(p) = 4 + 10*p + p**2 + 0*p**2 + 0*p**2 - 31. Let b be u(-12). Give z(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91151.92l in millilitres?\nAnswer: 91151920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8819996 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * -0.1187.\nAnswer: -0.1187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 396142?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 6*z**2 - 74*z + 17. What is j(12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1094159 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10433, -20863, -31293, -41723?\nAnswer: -52153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 281587 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 718752 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 5915.133ml?\nAnswer: 5.915133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/13 - (-13)\/((-507)\/(-162)). Let n be (4 - v) + (0 - -5). Calculate the least common multiple of 12 and 2*(12\/(-15) - -1)*n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 5*g**2 + 50*g + 6. Let w be u(-10). Let x(i) be the third derivative of i**5\/30 - 13*i**4\/24 + 35*i**3\/6 + 26*i**2. List the prime factors of x(w).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rthrrtqrtrtrrhr. Give prob of picking 1 q, 2 h, and 1 r.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes after 4:27 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1792 or 0.9247?\nAnswer: -1792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -2*a - 3, 11*a - 16*a + 4*g = 11. What is the remainder when 84 is divided by (a - -5)\/1 + 46?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8271*g**2 + 8469*g**2 - 16742*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.007, 811584, 0?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 137*o - 147*o + 10 = -5*z, 5*z = o + 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) 21\/23  (b) -1  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -439 + 444. Suppose -15 = -f*n, 29 = 4*l - 0*n + 3*n. Solve -3 = t + k, 3*t - 1 + 12 = -l*k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -10888*c**3 - 14*c - 5. List the prime factors of q(-2).\nAnswer: 151, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c + 272. Let g(p) = -p - 67. Determine 9*g(i) + 2*w(i).\nAnswer: -7*i - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**2 - 5*f + 1638. Let b be n(38). Solve 2*g - 4 = q, q = -b*g + 89 - 69 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -171 - -239. Let z be m + (-7 - (-20)\/(0 - -4)). What is the greatest common divisor of 66 and z?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 42790 and 68090.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**2 - 6*g + 3. Suppose 4*x + 9 = 21. Calculate i(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r**(-3\/2)*r))**(1\/3)*(r**(-1\/9))**(-14\/3) assuming r is positive.\nAnswer: r**(55\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 84\/(-6)*((-4)\/(-1))\/(-32)*-4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 15\/86768111?\nAnswer: 15\/86768111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 194*a. Let i(j) = 18*j - 4. Let n(z) = 93*z - 21. Let p(h) = -21*i(h) + 4*n(h). What is p(k(f))?\nAnswer: -1164*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:03 PM and 6:42 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + 16 - (-2 - -1)*(-3 - -7).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -9, 30, -0.1, -550 in descending order.\nAnswer: 30, 3, -0.1, -9, -550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**2 - 9*s - 12. Let g be h(9). Let p = -21 - g. Let l be ((-6)\/p)\/((-4)\/(-30)). Solve -l*d + 0*y = 4*y - 10, -4*d + y = -8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + 2 + sqrt(300))**2 - sqrt(300)) + 1.\nAnswer: 130*sqrt(3) + 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.2 - 0.1. Let r = -0.07 - 0.03. Let v = z + r. Which is the third biggest value?  (a) 0.1  (b) -0.2  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -5*q + 6. What is the remainder when 4 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-18)\/24)\/((-6)\/40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2858*h**3*w**2 - 167*h**3 + 2*w**2 + 802370 wrt h.\nAnswer: -8574*h**2*w**2 - 501*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 22161 + -22162. Let h(s) = 19*s + 7. What is h(n)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*j + 4*t + 8, -5*j - 15 = -t - 45 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 86176112 to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 316, 3, -6, -127, 5 in descending order.\nAnswer: 316, 5, 3, -3, -6, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(-1 + (-3)\/(-2)). Let t be k\/(-10) - 22\/(-5). Suppose -t - 10 = -2*i. What is the remainder when i is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 6*r**3 - 10*r**2 + 3*r + 3. Let y(a) = a**3 - a**2 + a - 1. Let x(m) = -g(m) + 5*y(m). Let c be x(5). Solve 2*q + c*q = 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 257, 514, 785, 1076, 1393, 1742?\n\"Answer: i**3 + i**2 + 247*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 5*v + 4)*(-4*v**2 + v**2 + 4*v**2) + 0 + 0 + 2*v**3 + (0*v**2 + 2*v**2 - 4*v**2)*(-2*v - 4 + 4) + 2*v**3 - 3*v**3 - v**3.\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add together -4 and 1243.\nAnswer: 1239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -9174, -18378, -27584, -36792, -46002?\n\"Answer: -q**2 - 9201*q + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 73950293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 38, 77, 178, 371, 686, 1153?\nAnswer: 1802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -3*l**3 + 3*l**2 + 8*l + 1. Let g(t) = 13*t**3 - 13*t**2 - 31*t - 3. Let b(c) = -2*g(c) - 9*z(c). Is b(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 - -1531255?\nAnswer: 1531255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g + 6*g - g)*(-3*g**2 + 4*g**2 - 7*g**2 + (-g**2 + 3*g**2 - 8*g**2)*(-1 + 1 + 2)).\nAnswer: -90*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 16 = -9. Suppose -4*y - 95 = -u*y. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/(-3 + 4)*-12. Let s = -10 + q. Suppose 5*u - u = -4*l - 4, -3*l - 2 = s*u. Solve l = 3*h - 2*h + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72*j + 135477 = -63*j. What is the hundreds digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -9*r**3 + r**2 - r - 1. Let k = 23 + -16. Let w = -7 + k. Suppose -o - 5 + 4 = w. What is v(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the first derivative of 1\/4*u**4 + 5\/3*u**3 + u + u**2 - 1. Give d(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14651 divided by 218.\nAnswer: 14651\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1133 + -1130. What is the smallest value in -0.8, x, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from {w: 1, k: 4, i: 1, v: 1, o: 4, n: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 243 a factor of 59698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 - -9. Let t be ((-124)\/(-120) - 3\/15)*6. Suppose t*i - 5*m = -0*m - 5, 10 = 2*m. Solve -q - 29 + 8 = z*d, i*d - q + 11 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h + 14. What are the prime factors of u(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -62 + 121. Let k = n - 58.9999923. What is k rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(1377) + sqrt(1377) + 1 + -6*sqrt(1377)*1 + -2 + -1*(-1 + sqrt(1088)))**2.\nAnswer: -88*sqrt(17) + 32913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 134 - 141. Is (a - 1 - -10)*15891\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 - g)*(0*g + 0*g - 2*g**2) + (2*g**2 - 2*g**2 + 4*g**3)*(-4 - 1 + 12) to n*g**2 + f + v*g + x*g**3 and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 58 and 1495066.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(((-1)\/24)\/((-1956)\/(-10432))).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 33?  (a) -0.01  (b) -4  (c) -5  (d) -1  (e) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 3*u = 15, -12*i = -7*i + 4*u + 20. Suppose -4*w - w = -3*c + 1877995, 2*c + 4*w - 1252004 = i. Round c to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 66*a**2 - a**4 + a**3 + a - 66*a**2 - 1. Let m(u) = 2*u**3 + 6*u**2 + 2*u - 2. Let v(y) = m(y) - 2*p(y). What is the third derivative of v(o) wrt o?\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -411, 2, 5 in descending order.\nAnswer: 5, 2, -4, -411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2aa689 + 3?\nAnswer: 2aa68c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1148430947 take away 8.1?\nAnswer: -1148430955.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -58*12\/352 - -3. Let w = -3\/11 + r. What is the second biggest value in w, 1, -2\/11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000031206649 rounded to six dps?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 1051 - 422 = -2*v, 2*v - 12 = 0. Solve 3*m + 469 = l for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 168 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 3 = 15, -2*m = 5*g - 261. Let j = m - -1040. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 5*d**2 + 7*d + 206. Let b(p) = -3*p**2 - 4*p - 103. Determine 7*b(q) + 4*g(q).\nAnswer: -q**2 + 103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) 5.7  (c) 442\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence niw when three letters picked without replacement from {w: 1, n: 1, g: 1, i: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 2\/53  (b) -5  (c) 0.3  (d) -22  (e) -0.5  (f) -1\/336\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 687070.5 days in minutes?\nAnswer: 989381520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6650 - 2807. List the prime factors of h.\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1\/(-3))\/(-3*2\/144). Let w be 5\/(-2)*(-16)\/20. Solve 0*h = -w*h + q for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 5*a**3 + 2073*a**2 - 773*a + 23578. Calculate h(-415).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**3 + 3*i**2 - 2*i + 6. Suppose -3*r + 0*r - 9 = 0. Let p(l) = -l**3 + 2*l**2 - 2*l + 7. Let d(x) = r*m(x) + 2*p(x). Determine d(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 258\/5*555\/333.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 1 b when three letters picked without replacement from ggggggbbgbg.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9000 and 495?\nAnswer: 99000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18000\/22 + 102\/(-561) and 22.\nAnswer: 8998","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 66*x**2 - 37878*x + 109619. Determine u(571).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -0.037, 178, 1\/8, -3 in descending order.\nAnswer: 178, 2, 1\/8, -0.037, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -5, -4, 1\/3, 3\/2, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 36*u + 53. Suppose 0 = 15*n - 80 + 395. Let b be a(n). Round b to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19, 38, 57, 70, 71, 54?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 532, 529, 526, 523, 520?\n\"Answer: -3*p + 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0\/(-3) - 4) + 823. Suppose 0 = 3*v + 3*h - 2160, 4*v - m - 2070 = 5*h. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*y**3 + 7*y**3 - 14*y**3 + 24*y**3.\nAnswer: 31*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 69 = -6. Is (40\/y)\/((-4)\/6) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51\/2*64\/12?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -127 + 192. Suppose -3*n - 3*b = -4*n, -a = -3*n - 4*b. Let t = 19 - -39. What is the remainder when t is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -7*b**2 - b. Let q be i(-1). Let t be 21\/(2 - (-3)\/q). Suppose 3*u - 3*x = 2*x + t, 2*u - x - 7 = 0. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 38537, 38514, 38495, 38480, 38469, 38462?\n\"Answer: 2*k**2 - 29*k + 38564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -819, 1, -4, -1, -3, 8 in decreasing order.\nAnswer: 8, 1, -1, -3, -4, -819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 117 is divided by 41?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 45555848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 311854 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3318040697?\nAnswer: 23, 313, 460903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 6) in base 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1*(-8 + -2 + 5). Let p(z) = 73*z**2 - 11*z - 15. Let y(a) = 145*a**2 - 20*a - 30. Let w(c) = r*p(c) - 3*y(c). Factor w(i).\nAnswer: -5*(2*i - 1)*(7*i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((27\/(-2))\/(-9))\/(12\/(-2))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**3 + t**2 - 62*t + 24. Determine j(-9).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand v - v + 2*v - 3*v + 4*v + 0*v + (-3 + 2 - 1)*(0*v - v + 0*v) + 1 - 1 - v + v + 3*v - 5*v - v + 4*v - 5*v + (1 - 1 - 1)*(3*v + 2*v - 3*v) + 16 - 5*v - 16.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*(10\/6)\/((-8)\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 9 divided by 12\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 105090*m**2 + 727*m + 338?\nAnswer: 210180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**2 + 2. Let r be (6\/14)\/(3\/21). Let d(a) = a**2 + 1. Give r*p(x) - 6*d(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12119?\nAnswer: 12119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -319*h + 6148 = -3794 + 3243 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2349900 and 6930.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6976.09914 - 6990.1. Let t = 0.6 - 14.6. Let u = w - t. What is u rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 1281*u + 435491. What is q(-340)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1040*l = 1483*l - 247254 for l.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 152\/11 + -14. Sort 1.1, z, -2\/15 in descending order.\nAnswer: 1.1, -2\/15, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*z + 17 - 17 = 0. Solve -2*h + b + 1 - 5 = z, 0 = 2*b + 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -323 + 326. What is the least common multiple of 42 and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5404922 divided by 1?\nAnswer: -5404922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -2*(3\/(-14))\/(-1)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.153 plus 1909253?\nAnswer: 1909254.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**2 - 11*m - 7. Let j be i(-10). Suppose 0 = -5*d - 202 - 13. Let l = d - -47. Solve 1 = -l*o - 0*o + j*h, 3*h = -15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -59.457 + -16.543. Which is the closest to 2\/3?  (a) 1\/3  (b) r  (c) 38  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the first derivative of -5*u**2 - 3. Does 10 divide o(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2942294 or -2942292?\nAnswer: -2942294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r and 1 j when three letters picked without replacement from {j: 1, k: 1, g: 1, b: 2, r: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yj when two letters picked without replacement from jyjjyjjyjjjj.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in thirty-seven halves of a millimeter?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -34.181501 rounded to three dps?\nAnswer: -34.182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 5*r = 18, r - 5 = -1. Let n be (-1 - 35\/l)\/1. Suppose 204 - n = 5*c. What is the greatest common factor of 238 and c?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the second derivative of -2*j**3\/3 - 3*j**2 + j. What is the remainder when 39 is divided by p(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 46000 to the nearest one thousand.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -3*j + 7. Let l be i(-6). Suppose 8*b = 6*b - 442. Let f be 7154\/26 + 34\/b. What is the greatest common divisor of l and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-8)\/(-156) + (-87812)\/2991495 and -41\/5.\nAnswer: 2645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:32 PM and 8:31 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 381 = 10*z + 321. What is the third derivative of 138*n**2 - 103*n**4 - n**6 + 4 - 4 + 102*n**2 - n**z wrt n?\nAnswer: -240*n**3 - 2472*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 144*t - 153*t + 18 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 187982?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:58 AM and 10:14 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes after 5:17 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 503*o**4 + 10*o - 4.\nAnswer: 6036*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9.9564 + 31.4646. Round g to 1 decimal place.\nAnswer: 41.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhd when three letters picked without replacement from {e: 1, h: 12, d: 7}.\nAnswer: 77\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**2 + 12*i - 9. Let u be f(5). What is the units digit of (-2 + u)*10\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 3*u - 1. Let l = 0 + u. Suppose -2*j = 12*j - 28. Sort l, j, -5 in ascending order.\nAnswer: -5, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:30 PM and 9:34 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -64  (b) -3  (c) 3  (d) 5  (e) -0.33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 765 is divided by (-1755)\/(-75) + (-21)\/(-35).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y**2\/15 - 381796*y\/15 - 381802\/5 = 0 for y.\nAnswer: -3, 190901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 11\/264*-6*-4. Sort w, 25, 3 in increasing order.\nAnswer: w, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4717 (base 12) to base 3\nAnswer: 101220001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 63 + -139. Is 2 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 1561*n + 12474. What is i(-8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 86885*n**2 + 1 - 86885*n**2 - 1 + 94*n**3.\nAnswer: 94*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -2*c + 3. Let s be (-6)\/9*(5 + (-10)\/5). What is the smallest common multiple of 1 and i(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 6, e: 3, h: 1, d: 3, u: 2, s: 4}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 202064111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -11943, -12481, -12981, -13425, -13795?\n\"Answer: 3*q**3 + q**2 - 562*q - 11385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -15*u + 5. Let k be y(5). Let o be 20\/k - 1805\/(-168). Let t = o - 149\/8. Find the common denominator of 5\/4 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14\/(-147) + (-53638)\/(-42) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 642970 is divided by 3019?\nAnswer: 2942","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/33 and 71\/269469?\nAnswer: 2964159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -26814 + 26814.7. Put -5, -9, 1, q, -1 in increasing order.\nAnswer: -9, -5, -1, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 23027 - 23027.023206. Let m = w - -0.0232. What is m rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 855443 and 71780.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -2*l**2 - 2*l - 2. Let k(x) be the first derivative of -10*x**3\/3 - 11*x**2\/2 - 11*x + 6. Let b(w) = 2*k(w) - 11*s(w). Let a(m) = -7*m. Give a(b(g)).\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**3 - 19*c**2 - 17*c - 162. Calculate t(-18).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**2 - 11*r + 15. Let d be g(10). Suppose 2 + 0 = -j, 5*o + d*j = 15. Suppose o*q - c - 45 = -0*c, 4*c = 0. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and 13.7.\nAnswer: 6.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 49930435 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -8  (b) 1041  (c) 100  (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*s + 7*s + 2*s)*(-6*s**2 - 2*s**2 - s**2) + (4*s**2 - 2*s**2 + 0*s**2)*(3*s - 5*s + 4*s) to the form i*s**3 + a*s + y + u*s**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*u + 7. Suppose -3*q - 5*r = 5, 5 - 2 = -u*q - 3*r. Differentiate 0*t**2 + 2*t**3 - 1 + q*t**2 wrt t.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z**3 + z**2 + 4*z - 16. Let o be r(-5). List the prime factors of o\/399 + (-3260)\/(-7).\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -159, -10, -5 in ascending order.\nAnswer: -159, -10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 - -2. Let x = u - 4.99996. Round x to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*(-3*sqrt(88) + sqrt(88)) + sqrt(88) - sqrt(88)) + sqrt(88))\/(sqrt(72)\/(-1*sqrt(9))))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 108 - 114. Let l(i) = 14*i**2 + 9*i - 7. Is l(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p - 2*p - 2*m = 16, -10 = p + 2*m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 5*z**3 + 49*z**2 - 367*z + 2. What is n(6)?\nAnswer: 644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1316837*z**4 + 7599*z + 45?\nAnswer: -15802044*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in twenty-eight ninths of a hour?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*k + k = -11412. What are the prime factors of k?\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4855\/2928 - -199\/61. Is 2 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.09 + 376524\nAnswer: 376524.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = -22*x + 18*x - 4*i, i + 1 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s + 15. Let h(u) = -u**3 + 3*u**2 + 6*u - 4. What is the remainder when j(0) is divided by h(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1354 times 27.99\nAnswer: 37898.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16 + (-51 - -32))\/28*-8?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the second derivative of -21\/20*h**5 - 9\/2*h**4 - 10*h**3 - 12*h**2 - 13*h + 0 - 1\/10*h**6. Factor i(w).\nAnswer: -3*(w + 1)*(w + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -292*z - 1. Let p(c) = -27*c. Calculate p(l(r)).\nAnswer: 7884*r + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = o - 12. Let c be (-2)\/(8\/(-130))*o. Suppose 2*y + 2*l - c = 0, y - l = 66 - 5. Calculate the highest common factor of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*q + 481 = 23*q - 32*q for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = 5*s, 0 = -2*s - l - 0*l + 5. Let v = 21 + -17. Suppose -5*x + s = -2*c - 17, v*x = c + 17. Solve 0 = 3*p - x*p - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*c + 108465 = 4291*c - 275362 - 98781 for c.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13639176*o**2 + 40917534*o**2 - 13639184*o**2 - 13639178*o**2.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((((-4)\/((-16)\/(-4)))\/(-19))\/1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 40*r - 343*r**2 - 311 - 335*r**2 + 680*r**2 - 33*r in the form b + x*r + v*r**2 and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 11 - (3 - (5 + -7))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*p + 0*p - p)*(19*p**2 - 26*p**2 + 16*p**2) - 3 + 3 - 4*p**3.\nAnswer: -76*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 141167556 by -47055852.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 50*k**2 - 27515*k + 3125850.\nAnswer: 5*(k - 390)*(10*k - 1603)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1978.99999548 + -1979. Round o to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2889436 and 7857?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 4*q**2 + 22. Let x(r) = r**2. Calculate x(h(z)).\nAnswer: 16*z**4 + 176*z**2 + 484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 116901 is divided by 1581.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -231, -452, -709, -1008, -1355, -1756, -2217, -2744?\n\"Answer: -a**3 - 12*a**2 - 178*a - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -3*f + 179504, 16*x + 2 = 14*x. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 4*y = 41, 3*m + 0*y + 2*y = 31. Suppose -43 = -m*h + 69. What is the remainder when 27 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 422 = -5*v + 2*p - 135, -3*v - 3*p - 351 = 0. Let d = -54 - v. Calculate the remainder when d is divided by -5*1*(-66)\/22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -43*z**3 + 9*z**2 - 4*z - 207 wrt z.\nAnswer: -258*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes after 9:48 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 = -5*a - 1. Suppose a = -3*r - 2*v + 37, -3*v - 40 = -5*r. Suppose -651 + 43 = -r*u. 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: How many centimeters are there in 50.5177nm?\nAnswer: 0.00000505177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 3, z: 7, p: 1, a: 6}. What is prob of picking 1 h and 3 z?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cxcccqqxxxhhhcc. Give prob of sequence qqc.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:41 AM and 1:40 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:22 AM and 11:50 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*q - 2*q = -2, 4*k + 3*q - 332 = -301 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2226118834?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -167*((2 - -3) + -4). Let i = 623 + s. Suppose 4*r = -20, -2*r + 84 + i = 5*j. Is 35 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 14*k**2 + 22*k + 1529. What are the prime factors of c(56)?\nAnswer: 3, 5, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 208 and 7878\/707 - (-2)\/(-14).\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7260 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 y(f) = -2*f**2 - 10*f**2 + f**2 + 38 + 2*f + 7*f - 2*f**3. What is the hundreds digit of y(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2055345 + 4440?\nAnswer: 2104225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4507607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 3*q. Let m(z) = -3*z**2. Give m(d(y)).\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -8*7*96\/(26112\/68)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(980) + -1*sqrt(980))*2)\/(sqrt(44)\/((sqrt(88)*1)\/sqrt(8))*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/27 and -79\/338289.\nAnswer: 3044601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -29 - 1\/(357\/(-10339)).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 4 - 12164*m + 36*m**2 + 12103*m.\nAnswer: 36*m**2 - 61*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes before 1:10 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 23 + (-26 - 30) + 70\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3874 is divided by 758?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2 + j)*(-j + j - 4*j) + (5 - 5 + j)*(j - 5*j + 3*j) to z*j**2 + k*j + l and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 4*s. Suppose -2*c = -0*c - 8*c. Let a(d) be the first derivative of -5 + 1\/2*d**2 + c*d. Calculate g(a(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41169654 is divided by 83171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 64, -0.21, 2?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/(-14)*3\/24*4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-13)*(t**(-6)*t*t)\/t)**(-26)\/((t**(2\/5)*t**(-5))\/(t*t**(2\/9))**(3\/7)) assuming t is positive.\nAnswer: t**(49678\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*6\/(-285)*390\/234?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -120 less than -824?\nAnswer: -704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6)\/(-2*sqrt(50)) + 0 + sqrt(147) + 1)**2.\nAnswer: 69*sqrt(3)\/5 + 14383\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1884 and 14908751301.\nAnswer: 14908753185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -7*f + 100. What is q(15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -111 - 6*m + 111.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*z**2 + 1916694*z + 26834304 = 0. What is z?\nAnswer: -14, 638912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(2\/19))**(-20\/9)*(a\/(a*a**(-2\/31)\/a*a)*a*a*a)**21 assuming a is positive.\nAnswer: a**(339905\/5301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - (-4 - 6 - -20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 4 + 2 + 2 - 176*p.\nAnswer: -176*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -38\/5*c**3 - 139\/5*c**2 - 102\/5*c + 0 - 1\/5*c**4.\nAnswer: -c*(c + 1)*(c + 3)*(c + 34)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-112)\/20)\/(-28)*110.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 2218*d**2 + 6*d + 6. Let w(a) = -4314026*a**2 - 11671*a - 11671. Give -11671*n(k) - 6*w(k).\nAnswer: -2122*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -50 + 101. Calculate the remainder when p is divided by ((6\/(-9))\/((-2)\/(-39)))\/(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the first derivative of 48*h**2 - 395 - 12*h**3 - 48*h**2 + 13*h**3 + 0*h + 5*h. Let l(p) = 4 - p - 4. Calculate l(j(s)).\nAnswer: -3*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 15914 + -3?\nAnswer: 15911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-15) + (-460)\/(-300)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13\/32 - 105\/416. Let j be ((-2)\/(-15))\/((-28)\/(-175)). What is the second biggest value in 1, 4, u, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-6)\/w)\/(((w\/(w\/(w*w**(-2\/27)*w)))\/w)\/w))\/(w**(1\/11)\/w**(-1\/5)) assuming w is positive.\nAnswer: w**(-10717\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 176, 183, 204, 245, 312, 411?\n\"Answer: w**3 + w**2 - 3*w + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 803900 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-2)\/(-10) + 47\/60 and 99\/4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kevvkevkkev. What is prob of picking 2 e?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.4747 - 1.5747. Let w be 65\/(-46) + (-3)\/(-2). Which is the nearest to n?  (a) w  (b) -0.2  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -1, -11 in increasing order.\nAnswer: -11, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x - 99 + 67 = -4*c, -10*c = 7*c for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -2*v - 5*n, 14 - 6 = -2*v - 2*n. Let k be (v - 2*3)*-1. What is the common denominator of ((-25)\/k)\/((-4)\/(-18)) and 1\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1814 - 1811. Let l be ((-2)\/6)\/((-16)\/6). Let i = -0.4 - 0. Sort m, l, i.\nAnswer: i, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (8*(-4)\/8 - -8) + -4. Suppose -z + s*y + 38 = 4*y, 98 = 3*z + 4*y. What is the second derivative of z*v**3 + 2*v + 4*v**3 - 4*v wrt v?\nAnswer: 204*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -3*c**2 - c + 6. Let b(i) = 82*i**2 + 2*i + 7. Give b(y) - o(y).\nAnswer: 85*y**2 + 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 184*u + 66 = 434 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j. Let s be (4\/(-3) + 2)*-3. Let l(z) = -2*z**2 + z. Let q = -22 + 24. Let i(w) = -w**2 + w. Let h(m) = q*i(m) + s*l(m). Determine h(y(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 589 minutes after 2:06 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the second derivative of -x**4\/10 + 7*x**3\/10 - 9*x**2\/10 - 3*x. Determine n so that o(n) = 0.\nAnswer: 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/19  (b) 4  (c) 7\/4  (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 52*m + 64. Let i(r) = 8*r + 10. Let a(o) = -32*i(o) + 5*n(o). Let s(l) = -l. What is s(a(f))?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -323 + 3213?\nAnswer: 2340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3 - (-42348)\/(-14120))\/(-12 - (-276)\/24). Is b >= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -151\/13452 and -19\/24?\nAnswer: 26904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 371437585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**2\/13 - 101678*t + 1321816\/13.\nAnswer: -2*(t - 1)*(t + 660908)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/4100 and -179\/1230?\nAnswer: 12300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1686*g + 121*g**2 - 249*g**2 + 818*g + 868*g + 129*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - u + 10 = 0, -2*h + u + 123 = 118. Let g(o) = o**3 - 3*o**2 - 6*o + 1. Calculate the remainder when g(6) is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -3, 5, -12, -30, 0, 8 in descending order.\nAnswer: 8, 5, 0, -2, -3, -12, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in 3, -491, 0.5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -3102538335 and -4?\nAnswer: 3102538331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -28*k + 29*k - 166980, 417461 = 5*c - 3*k. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 245*t**3 - 9*t**2 - 118*t**3 + 2*t - 124*t**3 as v*t**3 + w*t + g + d*t**2 and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58 = -5*i - 52. Let y = -20 - i. Solve -4*w - 20 = -2*k, 3*w = -y*k - 11 - 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = q + 10, 3*q = 2*v - 1 - 1. Suppose o + 28 = 2*o - t, -5*o + v*t = -145. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 100 = -2*u. Suppose -90 = -5*w - u. What is the remainder when w is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101146 to the power of 1\/2, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -968*h + 2435*h + 2474*h - 224637 = 0 for h.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**3 - o**2 - 3*o + 10. Let x be h(2). Suppose -52 - x = -4*i. What is the greatest common factor of 15 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -687*r**4 + 18*r - 17621 wrt r.\nAnswer: -2748*r**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 782 and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10409 + 10412. What is the closest to -1\/3 in b, 0.1, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 9*g - 524 = 0. Let w = -5 + g. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-348)\/18)\/(-2)*6 - -4. Suppose c + 3 = -3*g, -c + 3*g = x - 65. Factor -3\/7*q**3 + 0 + c*q + 12\/7*q**2.\nAnswer: -3*q**2*(q - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -5.6  (b) -5  (c) 0.4  (d) 22\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.58 - 0.02. Round z to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -0.17 = -10554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -13455935*v**6 + 234*v**2 + 1622*v + 3.\nAnswer: -1614712200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**2 - 6*r + 1. Let b = -60 - -64. Suppose 0 = -2*z + 5*x - 126, 4*z + 332 = -z + b*x. Let v = z + 72. Calculate w(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**(5\/2))\/((x**2*x)\/x))\/(x**(2\/5))**(-24) assuming x is positive.\nAnswer: x**(111\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 144\/27 - 7313\/1545.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**3 + g**2. Let k(u) = 6*u**3 + 5*u**2 - u. Let t(m) = -k(m) + 5*p(m). Let b(q) = 3*q - q**3 - 2*q**2 + 2*q**2 + q**2. Calculate b(j) - 3*t(j).\nAnswer: 2*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes after 4:28 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2896.2854 rounded to the nearest one hundred?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -574, -3, 19 in descending order.\nAnswer: 19, -2, -3, -574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**2 - 3*v - 2. Let l(k) = k**2 + 5*k - 4. Let g be l(-6). Suppose 5*q - 14 = o, g*o + 0*q = 4*q + 2. Suppose 0 = -2*z + o - 7. Calculate c(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-8)\/(-10)*-1*-50. Let p be k\/6*(-12)\/8. Is (-1 + -1)\/(p\/35) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 308067 and 348?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 10) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a millennium in months?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30359.\nAnswer: 7, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**3 - 14*k**2 - 20*k - 30. Give j(8).\nAnswer: -574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 1329184 to the nearest 1000.\nAnswer: 1329000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -37882, -75808, -113782, -151828, -189970, -228232?\n\"Answer: -4*v**3 - 37898*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41 is divided by 38?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j*j**(-1\/6))\/j*j*j\/j**(3\/17))**(-10\/11) assuming j is positive.\nAnswer: j**(-1355\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -100.51998 to the nearest integer.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.53 - -1.67. Let d = 0.2 - z. Which is the closest to d?  (a) -0.2  (b) 0.3  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54 + 56 = 2*o. What is the lowest common multiple of o and 25?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -4127377100.7 and -0.028.\nAnswer: -4127377100.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from {w: 1, a: 4, t: 2, g: 8, v: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -15 in 0, -894, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.02876 + -0.01026. Let g = -1 + n. What is g rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 - 8 = -5*w. Let x = -0.7 + 8.7. Let h = 8 - x. Which is bigger: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes after 10:29 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 52703120, 52703135, 52703156, 52703183, 52703216?\n\"Answer: 3*i**2 + 6*i + 52703111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 5.755254 millennia?\nAnswer: 57.55254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i + 4*n + 28, -i + 4*i = 4*n + 24. Let j be i\/(-6)*-275 + (-2)\/6. Suppose -936 = -5*k + 2*h - 3*h, k - 4*h - j = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 223120013002 (base 4) to base 16\nAnswer: ad81c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 b and 1 u when four letters picked without replacement from qbbbbbbbqbbqbqsqu.\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 128*m + 356 - 1505 + 2901 = -5800 for m.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**2 + 8*n - 9. Let z be x(5). Suppose z = -2*q + 5*k - 0, -k = 3*q - 8. Let i be (2 + -3)*10\/(-5). What is the greatest common factor of q and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**2\/2 + 12681*j\/4 + 57105\/4.\nAnswer: -(j - 6345)*(2*j + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -103, 270\/7 in decreasing order.\nAnswer: 270\/7, -0.3, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l - 0*n - 3*n + 12, -5*n = 4*l - 12. Solve 0 = -5*r - 2*q + 5*q + l, 5*r - 4*q - 4 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 375 divided by -6\nAnswer: -125\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 409 - 342.6. What is m rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.5 + -3. Let h = 0.029 + -3.529. Let n = l + h. Which is the third smallest value?  (a) 0.04  (b) 0.5  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by -251.\nAnswer: 2\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -338 - -497. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -62 in -1, -0.4, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-30 - -10 - -30) + 25994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 2*v**3 - 11*v**2 - 14*v + 7. Is n(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1948 - -11821\/6. Let j(u) = 515*u + 5. Let k be j(4). Let v = k + -4039\/2. Calculate the common denominator of v and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 46*i**2 + 3*i - 48. Is x(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - l + 3 = 0, -l = 2*h + 2*l + 7. Suppose -3*y + h = -2*q, 5*q = q + 2*y + 8. Factor 3 + 25*p**4 + 12*p**2 - 43*p**4 + 10*p + 19*p**q + 6*p**3.\nAnswer: (p + 1)**3*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the first derivative of 681*b**4\/4 + 7*b**3\/3 + 2*b - 852. What is the third derivative of c(x) wrt x?\nAnswer: 4086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 190*y**2 + 4007 - 46*y - 1984 - 2023 as v + o*y + b*y**2 and give b.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*g + 27 = g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(65)*2 - sqrt(65)) + sqrt(65) + (sqrt(65) - (sqrt(65) + ((sqrt(65)*1 - sqrt(65)) + sqrt(65))*4)))\/(-1*sqrt(30)\/sqrt(6)*-3).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 19319602 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rgtgtttttrgtgtgttgtg. What is prob of sequence rg?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4600 - 4595. Which is the nearest to -1?  (a) -0.3  (b) -3  (c) -4  (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one quarter of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 + (1 - (-20)\/(-11)). Suppose -d - 28 = -3*a + 3*d, 0 = 4*a + d - 12. Suppose -l + 5*l - a = 0. Does q = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -2*r. Let a(b) = -b. Let f(l) = -11*l**2 + 85*l - 6. Let m be f(8). Give m*a(j) + 6*d(j).\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -28*t**2 - 6*t + 7. Let w be a(2). Let u = w - -119. Solve u*r - v - 6 = -r, -3*v - 12 = -3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3 + (27\/(-12))\/((-15)\/40). Suppose 4*d = -d - 10. Let p be -1*2\/d*q. Solve 5*o + 4 = p*o - 3*h, 2*o - 5*h + 20 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -44, -3, -4.\nAnswer: -44, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74*q = -78*q + 7840. List the prime factors of q.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1349283*i + 871743.\nAnswer: 1349283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1534 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-21)\/18*252\/196*(-1)\/6. Which is the closest to 0?  (a) -4  (b) -7  (c) 2\/9  (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 173 = 5*m + 11*b, -8*m - 12 + 32 = 10*m - 4*m + 5*b for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 336 or 293?\nAnswer: 293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*u - 2*f = 7*u - 5, -4*u = -f + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 688023217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 34\/3, -2\/17, -3\/7, -38 in descending order.\nAnswer: 34\/3, -2\/17, -3\/7, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -m*r*y**2 + 14*m + 1253489*r*y**2 + y**2 + 24808*y wrt r?\nAnswer: -m*y**2 + 1253489*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**3 - 4*q + 132 - 2*q - 8*q**2 - 122 - 2*q. Let x be 2 + (-10 + -7 - -8). Give y(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-1)*(-5)\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 2*i - 4. Let x be l(4). Suppose -w - h = -51, 2*w + x*h = -12 + 114. Let q = -14 + w. What is the remainder when 184 is divided by q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**2 + 4*c. Let f = 35 + -38. Calculate x(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 267289*p**2\/5 - 880968*p\/5 + 725904\/5 = 0.\nAnswer: 852\/517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1583161.342 + 0.02.\nAnswer: 1583161.362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -86c9 (base 14) to base 4.\nAnswer: -11230021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (9\/534)\/(15\/10). Let a be -1*(-2 - 9\/(-6))*(19 + -19). Which is smaller: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 993926 is divided by 522?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**16\/x)**(-1\/24) assuming x is positive.\nAnswer: x**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*k = 82 - 132. Put 0, k, 21 in ascending order.\nAnswer: 0, k, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -20 + 11. Let g(c) be the first derivative of 3*c + 1\/2*c**2 - 1. Determine g(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18)\/((-3422)\/295 - -11).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1059281 + 1059259.00026. Let c = -10 + 32. Let i = x + c. What is i rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2507, -3709, -5713, -8519, -12127?\nAnswer: -16537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w - 28 = -27 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**34\/j*j**(-1))\/(j**(-12)*j\/j**(-2\/49)) assuming j is positive.\nAnswer: j**(2105\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 360 - 213. Suppose -3*q = -n + 3. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence exj when three letters picked without replacement from jjejjjjjkkejxjxjkkj.\nAnswer: 22\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -z + 2, 9*z - 13*z - 8 = 0. Let g be 4\/(-14) - (-410)\/14. Solve -9 + g = o*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**9)**(2\/3)*(n*n\/(n\/(n**(9\/5)\/n)))\/(n\/n**(-2\/3)) assuming n is positive.\nAnswer: n**(92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7 - 125 - l**3 + 8 to the form i + r*l**3 + x*l**2 + u*l and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -268*n = -2911 + 5048 + 3223 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 337438067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4140)\/67275)\/(72\/30).\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 54\/21 + 4\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 67.\nAnswer: 3\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/5688 and 133\/2304.\nAnswer: 182016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -72*j + 1377. Give n(19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**2 - 3*n - 14. List the prime factors of l(-17).\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o\/o**(1\/3))**(3\/19))**22)**(-1\/28) assuming o is positive.\nAnswer: o**(-11\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 4489.58 nanometers in millimeters?\nAnswer: 0.00448958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 4 + 9. Let r be (3 - 2)*(-2 + k). Suppose 2*t + t - r = 2*q, 3*t + 4*q + 13 = 0. What is the highest common divisor of 8 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**3 - 7*q**2 + 4*q - 4. Determine o(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2\/5  (b) 2\/5  (c) 16  (d) 2\/7  (e) 3.6  (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 274, 35, -180, -371, -538, -681?\nAnswer: -800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a + 7. Let r(j) = -j + 1. Let k(h) = -h - 4. Let y(t) = k(t) - 2*r(t). Let q(x) = -7*o(x) - 6*y(x). Differentiate q(l) wrt l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is h in 2*h**5\/13 - 14*h**4\/13 - 60*h**3\/13 - 8*h**2\/13 + 80*h\/13 = 0?\nAnswer: -2, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -5 (base 14) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -513 + 514. Let y(t) = -6 + a + 3*t - 3*t - 10 + 2*t. What is y(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the second derivative of -g**4\/6 - g**3\/6 - 5*g**2\/2 - 5*g. Let j(n) = n**2 - n - 1. Let q(b) = -3*j(b) - p(b). Calculate q(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 4049054896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 76338.73 kilograms in milligrams?\nAnswer: 76338730000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 73 >= 0.09116593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10 + 10. Suppose -5*r - h - 110 = o, h + 2*h + 120 = -5*r. List the prime factors of 6\/r - 228\/(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 + -3 + -34 + (25 - 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -16154295, -16154296, -16154297, -16154298, -16154299, -16154300?\n\"Answer: -v - 16154294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*d + 21*d = 2*j - 8, -3*d + 4*j = -28. Suppose 71 = 4*f + 23. Solve 0*n - f = -d*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.084 - -0.084. Let i = 3.06 - 3. Let w = i + 4.94. What is the third smallest value in l, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1932828048 a multiple of 12685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 22.88 and -1.408.\nAnswer: -32.21504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6*(4\/(-8))\/((-6)\/4). Let 0*v**4 + 0*v**o + 1\/3*v**5 + 0*v + 0 - 1\/3*v**3 = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = 4*n + 9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 3*x**2 + 7*x + 4. Calculate b(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3247*m**4 - 8583*m**3*p**2 - 194*p**2 - 456258 wrt m?\nAnswer: -12988*m**3 - 25749*m**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47 = 2*f + 3*j, -2*j - 105 = -4*f + 3*j. What is the least common multiple of f and 168\/2856 - (-100)\/34?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 3*m**2 - 4*m - 7. Let h be w(-5). Suppose -3*i = -29 - h. Calculate the greatest common divisor of 6 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -10152.4 and -575.\nAnswer: 5837630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/(-6)*(3 - 5). Which is the third biggest value?  (a) u  (b) -3  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1362 (base 7) in base 4?\nAnswer: -20112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 5*b + 21 = 0, 5*x = 4*x + 4*b + 17. Let m = 1188 + -287499\/242. Let q = m + -421\/5082. Which is smaller: x or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -19 by -609.\nAnswer: 19\/609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-88)\/(-154)*-1*(-14)\/(-6)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 576543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 891 and 891.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -17*d + 20*d. Let w be (d\/(6\/(-83109)))\/(4\/(-8)). Let f = w - 39203. What is f rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 5*n = 45, 0 = -4*s - 0*n + 5*n + 36. Let r = 7 - 1. What is the lowest common multiple of r and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (55 + (-2 - 55))\/(-3). Factor k*m**3 + 0 + 2\/9*m**2 - 2\/9*m**4 - 2\/3*m.\nAnswer: -2*m*(m - 3)*(m - 1)*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -127*x - 650. What is the tens digit of v(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*k + 5*k - 2*k)*(-1 - 1 + 0) + 0 + 0 + 4*k + 9*k + 28 - 28 + (116*k - 257*k + 205*k)*(-1 + 2 + 1))*(-3 + 4 - 2*k + 0*k**2 + k**2).\nAnswer: 139*k**3 - 278*k**2 + 139*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 587?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 7705753 + 22?\nAnswer: 7705775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1612 - 2323. Let v = -689 - b. Sort -2, -3, -1, v in descending order.\nAnswer: v, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8736 by 2912.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 118?  (a) -2  (b) 0.19  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 w, and 1 l when three letters picked without replacement from {l: 3, w: 2, a: 5}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.11 + -0.1105. Round a to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 + 0)*(3 - 5 + 20)*(-g + 38 - 32 - 37) - 1 + 2*g + 1 + (3 + 0 - 2)*(-2 + g + 2).\nAnswer: -33*g - 1116","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.42699 minus -0.5623?\nAnswer: 0.13531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 = -6*g + g. What is the third derivative of 802*v**3 - g*v**2 - 802*v**3 - 9*v**4 wrt v?\nAnswer: -216*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10237 (base 12) to base 9.\nAnswer: 31807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*t + 4. Suppose r - 3*z + 4 = 1, 3*z = 3*r - t. Suppose -2 = r*u + 5*c - 24, c + 6 = 2*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/3 - (-10)\/3. Let u be (21\/56)\/((-63)\/(-364)). Which is greater: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 29 - 55 + 26 - 733*s to the form v + a*s and give a.\nAnswer: -733","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 88 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -179.45 rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 0.0380969ug?\nAnswer: 0.0000000000380969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10.5 + -11.235. Let w = -1.1 - j. Round w to two decimal places.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 711835599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*q**2 - 4*q**2 - 2*q**2)*(0 + 2*q + 0) - 2 + 3*q**3 + 2 + q**3 - 20*q**2 + 750 - 750.\nAnswer: 2*q**3 - 20*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -95 = -7*y + 2*y. Let w = 1.782 - 4.782. Which is smaller: w or y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**2 + 15*m - 13. Determine n(5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -4184, -8375, -12566, -16757, -20948?\n\"Answer: -4191*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 4*i**2 + i. Let x be u(1). Solve 0 = -5*w - 25, -3*w + 0*w = -x*o + 25 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gger when four letters picked without replacement from {r: 1, g: 2, n: 8, f: 1, e: 6}?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the first derivative of 2*u**4 + 4*u**3 + 7*u**2 - 11*u + 41. Let r(x) = -3*x**3 - 4*x**2 - 5*x + 4. Determine -11*r(k) - 4*t(k).\nAnswer: k**3 - 4*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*l + f - 17, 40*l + 48*l - 67 = 114*l - 52*l - 3*f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5\/4 - -49\/36. Let o = n + 22\/45. Is o > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(-2\/5)\/(t\/(t\/(t*t*t\/(t**(1\/3)\/t)))))\/((t\/t**(-2))\/t**(4\/11)))**(-17\/4))**41 assuming t is positive.\nAnswer: t**(385441\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d = 3*i - 2171 + 2162, 5*i + 2*d = 21 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 3*t. Let n(z) = 54*z**2 + 7*z + 6. Give n(f(g)).\nAnswer: 486*g**2 + 21*g + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 5 + 11 = 0. Let f(k) = k**3 + 6*k**2 + k + 8. Let r be f(a). Suppose -c - r + 13 = h, -35 = -3*h - c. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24160 rounded to the nearest one thousand?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 10757, 21514, 32271?\n\"Answer: 10757*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(125) + 1)*-4 + -2*sqrt(125) + 5 + sqrt(125))*-2)**2.\nAnswer: -200*sqrt(5) + 12504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2503*y + 602*y + 3603*y + 6296*y.\nAnswer: 7998*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8732.\nAnswer: 2, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 62046 and 42606.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4*129\/60)\/((25 + -26)\/(30\/2)).\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/4)\/((-5)\/(-80)*-6)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 14568 a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 738 and 108?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1238506 to the nearest integer?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*v**3 - 3*v**3 - 3*v**3)*(v**2 - 2*v**2 - 2*v**2) + 616*v**4 - 129*v**5 + 261*v**5 - 131*v**5.\nAnswer: 7*v**5 + 616*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 12990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n + 9*n + 29 = 0. Let j = n + -9. Suppose -15*u - 5 = -j*u. Put -3, u, 2 in decreasing order.\nAnswer: 2, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (7\/2)\/((-4)\/(-8)). Let u(j) = j**2 - 40*j - 382. Let v be u(48). Solve -n*y = -v*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-31*a + 35*a + 43*a - 1)*(37*a**4 + a**4 - 20*a**4).\nAnswer: 846*a**5 - 18*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 1061 divide 446407775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r**5\/5 - 92*r**4\/5 + 496*r**3\/5 - 708*r**2\/5 + 306*r\/5 = 0.\nAnswer: -51, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*(t*t\/(t**(-10)\/t))\/t*t*t)\/(t**(-8)\/t))\/((((t*t**(2\/25)*t*t*t)\/t*t)\/t)\/(t\/t**(-11\/4))) assuming t is positive.\nAnswer: t**(2467\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8592 and 704544.\nAnswer: 704544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.0073 and 50097071503?\nAnswer: 50097071502.9927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:07 PM and 8:43 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 - 265540987.3636.\nAnswer: -265540990.3636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 639 minutes before 2:46 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*x + 3*x + 6. Suppose -2*u - x = -4. Suppose 4*b + 24 = -4*i, -6*i + 2*i + 16 = -4*b. Put 2, i, u in decreasing order.\nAnswer: 2, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 19\/7?  (a) 2\/3  (b) 283  (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ccr when three letters picked without replacement from {c: 3, r: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 22, 17\/5 in descending order.\nAnswer: 22, 17\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the first derivative of -158 - 281\/3*j**3 + 0*j**2 + 0*j + 107\/2*j**4. Find the third derivative of d(a) wrt a.\nAnswer: 1284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1268627 and 7.11?\nAnswer: -9019937.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 58 + -60. Which is the third biggest value?  (a) -0.8  (b) m  (c) -1\/2  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**3 + 6*s**2 - s + 7. Let j be n(6). Let b = -211889\/41 - -5168. Are j and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-54)*3)\/(5 + (-404)\/80).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 242*t**2 + 24641 - 12309 - 12293 to the form o*t + l + c*t**2 and give l.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**3 + 6*b**2 + 10*b - 1. Give m(-6).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -107.892 + 108. Let b = f + -0.018. Which is smaller: b or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 35325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11 or 2539?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes after 6:43 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 84.9 + -88. Let s = -8.1 + 20. Let v = o - s. Is 1 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-132)\/(-561))\/(2\/17)*(-5)\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.176044066 - -31?\nAnswer: 31.176044066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*o - 13*o. Which is the smallest value?  (a) -4  (b) o  (c) 4  (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21\/(42\/6) + 3046*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjdjjjddjj. Give prob of sequence jd.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 139, 0.09, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*d**2 + 108585663798146*d - 108585663798146*d.\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5538*3.\nAnswer: -16614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 123233 and 295891?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 369, 347, 323, 297, 269, 239?\n\"Answer: -k**2 - 19*k + 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1547 and 70?\nAnswer: 15470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the third derivative of r**4\/8 + r**2. Let b(q) be the third derivative of q**4\/24 + 15*q**2 + 1. Let u(h) = -9*b(h) + 2*s(h). Calculate u(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 506 - 1\/(-3)*3. Suppose 0 = y + 12*y - x. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -40369 and -40367 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4273 - 4265. Let x(j) = j**3 + 5*j**2 + 2*j - 4. Calculate the remainder when x(-3) is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -4*u**4\/5 - 9168*u**3 - 12476868*u**2\/5 + 12614408*u\/5 + 5009088 = 0.\nAnswer: -11181, -280, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) 51  (b) 2\/7  (c) -437  (d) -0.4  (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/11, 2, -1\/5, -5, -323\/8, -2.\nAnswer: -323\/8, -5, -2, -1\/5, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -13434048 and -1.\nAnswer: 13434048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h + 0 + 1 - 4 - 3*h. Suppose 7*k - 45 = 2*k. Let x(r) = 2 - 3 - k - 6*r. What is -10*l(u) + 3*x(u)?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*o + 16*o + 165 = 0. What is the lowest common multiple of 55 and o?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 0 + 38 - (-19 - -19).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1 and 10159.\nAnswer: -1015.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2526658 and 1216?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f + 5*r - 186 - 110, 325 = 5*f - 5*r. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(605) - (0 + sqrt(605) - sqrt(605)))*-2)**2 - (4 + (sqrt(60)\/sqrt(3))**2).\nAnswer: 2396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from movom?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 234.3232ug to tonnes.\nAnswer: 0.0000000002343232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xnxxcwpccxpxcwcxc. Give prob of sequence pcxn.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2753*j - 50*j**2 + 2753*j + (-9*j**2 + 18*j**2 - 15*j**2)*(2 - 3 + 3)*(3 + 3 + 3) + j**2 + 0 + 0 to a*j + m*j**2 + z and give m.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 322992 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) 5  (c) -0.07  (d) -380.85  (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the first derivative of -u**6\/3 - 17*u**5\/10 - u**4 - 7*u - 19. Let x(w) be the first derivative of q(w). Determine y, given that x(y) = 0.\nAnswer: -3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*w + 30*w + 2*n = 10 - 0, w - 3*w + 0*w + 222*n = 1116 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*v**2 - 10*v**2 + 46*v**2 - 15*v**2 - 14*v**2.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 5.7  (c) 13.51  (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 198 = -c - 28*c. Solve 0 = -c*u + 3 + 45 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the first derivative of 48*h - 35 + 15\/7*h**3 - 3\/28*h**4 - 108\/7*h**2. Factor i(t).\nAnswer: -3*(t - 7)*(t - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10962 divided by -174\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the second derivative of -y**4\/2 - 5*y**3\/3 + y**2\/2 - 4*y. Let i = 10 + -3. Let d(f) = 2*f**2 + 3*f. Calculate i*d(p) + 2*r(p).\nAnswer: 2*p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 0 - 4*w + 4*w - 7*w**3.\nAnswer: -7*w**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 876 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1301, 3251, 5711, 8687, 12185, 16211, 20771?\n\"Answer: g**3 + 249*g**2 + 1196*g - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-230)\/28)\/(-23))\/(14\/(-49)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 98777 is divided by 101.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 38569 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 8\/24*6 - -17. Let a be 5 - 1 - 13*-7. Calculate the highest common factor of z and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -787 - -502.4. Let w = 285 + r. Put w, -1\/5, 3 in descending order.\nAnswer: 3, w, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -1615*f + 13. Let y be v(3). Let x = 7581 + y. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (48 + 55*p - 28*p - 29*p)*(0 + 1 + 4)*((p**2 + 2 - 2)*(-5*p + p + 3*p) - 2*p**3 + 2*p**3 - 2*p**3) + (-2*p + 2 - 2)*(-2*p**3 + 2*p - 2*p).\nAnswer: 34*p**4 - 720*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.764 * 11.\nAnswer: 19.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 583 + -1012. Let d = r - -428.999999355. Round d to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-136 + 0*f - 68 + 2*f - 4*f)*(-2 + 3*f + 2) as b*f**2 + o + z*f and give z.\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -161 = -5*p - 41. Suppose -8*i + p = -4*i. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -0.8, 5, -5, 2\/13, 14.5 in ascending order.\nAnswer: -8, -5, -0.8, 2\/13, 5, 14.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*i + 9*i + 6*i - 29*i.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from agxbbcxaw. What is prob of sequence cwax?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the second derivative of k**6\/40 + k**4\/12 + 3*k**2\/2 - 3*k. Let l(p) be the first derivative of i(p). Find the second derivative of l(w) wrt w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 3*l - 26. Let d = 1 + -2. Sort -4, d, -2, l in descending order.\nAnswer: l, d, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8662.856 kilometers in nanometers?\nAnswer: 8662856000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 3*g - 2*g**2 - 4*g + g**2. Let b(w) = -17 - 2 + 2*w**2 + 3*w + 19. Calculate -b(k) - 4*h(k).\nAnswer: 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j - c + 2, -j + 0*c + 4 = 2*c. Put 6, j, 5 in ascending order.\nAnswer: j, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 211 = 4*l, 2*l + 0*x - 103 = -3*x. Let m be l\/20 - 16\/40. Factor -9\/4*u**2 + 0 + m*u**3 - 3\/4*u**4 + 3\/4*u.\nAnswer: -3*u*(u - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 163*b**3 + 8*b + 438. Let w(z) = 164*z**3 + 10*z + 436. Let h(d) = 5*r(d) - 4*w(d). Differentiate h(p) wrt p.\nAnswer: 477*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 660 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the second derivative of v**4\/4 + v**3 + v. Let n(x) = x + 221430*x**2 + 7*x - 221423*x**2 + 5*x - 2*x. Let r(c) = -6*n(c) + 11*u(c). Give r(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1427246490?\nAnswer: 2, 3, 5, 41, 1160363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 0*t = -23. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 142767295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 48, 42, 36, 30?\n\"Answer: -6*t + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 131, 139, 151, 167, 187?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of j**3*n*u - 19*j**3*n*v + j**3*n - 2*j**2*n**2 + 2*j*n*u*v + 14*n**2*u*v wrt u.\nAnswer: j**3*n + 2*j*n*v + 14*n**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 195264.51 to the nearest 100.\nAnswer: 195300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 101 = -65. Suppose 0*o + j*o - 132 = 0. What is the lowest common multiple of o and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 28031 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13695?\nAnswer: 3, 5, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-4\/17)*m*m**1)\/(m\/(m\/m**(-3)))**42)**42 assuming m is positive.\nAnswer: m**(91224\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -1\/5, 0, 52269 in descending order.\nAnswer: 52269, 0, -1\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5521.5 - 5521. What is the nearest to 0.02 in t, -2, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5 + -3 + (-7 - -1). Let u = -7 - c. Let g = u + 4. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1114327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 - 13\/2. Let d = 67.8 - 68. Which is the nearest to w?  (a) d  (b) 0.1  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 13) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -49 + 55. Calculate the lowest common multiple of 77 and p.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -132*f = 35*f + 1219 + 1620 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.2 and 49444994.\nAnswer: 49444994.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 2*g + 39. Determine s(-20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 280754?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 118253.6226 + -0.2?\nAnswer: 118253.4226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-190)\/418 + (-6)\/(-22). Sort 7, 2.6, 1, m.\nAnswer: m, 1, 2.6, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 32*c + 37*c - 18*c as x + y*c and give y.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*o - 22*o = 16*o - 20252. What is the remainder when o is divided by 52?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -p + 1, 3*p - 4 = 5*o - 1. Suppose 3*c - t = 9, o*c - t = -4*c + 11. Suppose -c*j - 5*y = -j, -3*y = 12. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*i = -15*i - 0*i + 1393494. What are the prime factors of i?\nAnswer: 2, 3, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 61625794 to the nearest integer?\nAnswer: 7850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110000 + 11001?\nAnswer: 1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*v + 179 + 94 = 9*v - 40*v for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 143*p - 1 - 5 = 141*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7500, -16206, -24914, -33624, -42336?\nAnswer: -51050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -229263, -458483, -687703, -916923, -1146143?\nAnswer: -1375363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -459 - 529 = -31*m + 83*m for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 243886271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**(1\/4)\/t*t)**1\/(((t*t**(3\/7)*t*t)\/t)\/t)**(-2) assuming t is positive.\nAnswer: t**(115\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -31003 - 4?\nAnswer: -31012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(-7)*h*h*h*h*h\/h**(-16)*h)**(-1\/32) assuming h is positive.\nAnswer: 1\/sqrt(h)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1627090 is divided by 1627079.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -58.08 - -57. Let u = -0.08 - i. Let l = u + -2.1. What is l rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**2 + 4*f - 8. Let p = -7 - 0. What is the tens digit of w(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:03 AM and 6:41 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -30*x - 648. Calculate w(-40).\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 25, 97, 169, 241, 313, 385?\n\"Answer: 72*y - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 4 = -3*b. What is the remainder when 15 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0626607283 rounded to 4 dps?\nAnswer: 0.0627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 78 + -86.3. Let o = -5 - -13. Let j = h + o. Which is the nearest to -1?  (a) j  (b) -5  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**3 + 25*r**2 + 137*r + 396. What is y(30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*w**3\/5 - 339*w**2\/5 - 3377*w - 840.\nAnswer: (w - 120)*(w + 35)*(4*w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 124  (b) 4  (c) 2\/57  (d) 1  (e) 6.9  (f) 1\/3  (g) 0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-5)\/170*(2 + (-2)\/2). Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1043307?\nAnswer: 3, 17, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2 + -1 + (16 - 5) + 1635?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j + 3*u - 347, 2*u + 1713 = 5*j + 6*u. Let w = 32 + -1. Calculate the highest common divisor of w and j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -15 in -0.004, -1\/4, 239\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 308\/33*(-3 + 312\/56). What is the nearest to -1 in j, -5, 9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**2 - 2*q + 4. Let h be m(-4). Let d(i) = 2*i + 3. Let t(z) = -3*z - 6. Let u(y) = 7*d(y) + 4*t(y). What is u(h)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*v - 25*v + 33*v - 15*v - 21*v + 60*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-693)\/(-12))\/(87\/116). Let j(z) = -5*z**3 + 4*z**2 - 2*z. Let o be j(2). Let w = -17 - o. Calculate the greatest common divisor of k and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.326325 grams in micrograms?\nAnswer: 1326325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 4 = -5*n + 5, 0 = 5*n + z - 29. Suppose 5*a = -4*r + 2*r + 14624, r = -5*a + 7302. Suppose s = o - n*o + 5859, -5*o - 3*s + r = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes before 7:07 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 17, 67, -15.4, 5, -0.5, 3, 0 in ascending order.\nAnswer: -15.4, -0.5, 0, 3, 5, 17, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 21*l**2*r**2*v - 105910*l**2*r**2 + 1192*l*r**2*v + 2*l*r**2 + 40*r**2*v - 4*r wrt l?\nAnswer: 42*r**2*v - 211820*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**17)\/b)\/(((b\/(b*b**(-1\/12)\/b*b))\/b)\/b) assuming b is positive.\nAnswer: b**(227\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rggrggggg. Give prob of sequence gg.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 46*g**2 - 985*g**3 + 4 - 6*g - 88*g**2 + 46*g**2. Let o be b(2). Is 6 a factor of o\/(-60) - (-4)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (-4 - -19) - 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -227466*o**4 + 1587*o**2 + 15*o.\nAnswer: -5459184*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1290448 - 0.160032.\nAnswer: -1290448.160032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 9079119 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-244755)\/54390*70\/6.\nAnswer: -105\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16.3 less than -1312058.56?\nAnswer: -1312042.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 8\/21 of a week?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*a**2 - 120*a**2 - 12*a**2.\nAnswer: -148*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 151125.8 litres in millilitres?\nAnswer: 151125800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 6312700 to the nearest one hundred thousand.\nAnswer: 6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -22230 rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.2987 less than 952433479?\nAnswer: 952433484.2987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the third derivative of -7*o**4\/24 - o**3\/6 + 7*o**2. Determine w(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 5, -243.\nAnswer: -243, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -836823.9 * 5\nAnswer: -4184119.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 916*j + 3388. What is n(-5)?\nAnswer: -1192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 53588443 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49023993.\nAnswer: 3, 53, 308327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t - p + 50390, -5*t + 10*t - 50375 = -4*p. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(17) + 2 + -2)*3 - (sqrt(17) - sqrt(51)\/(sqrt(3)*-2) - (sqrt(68)\/sqrt(4) + 3))) + -2)**2.\nAnswer: 5*sqrt(17) + 429\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27750\/(-28860) + (-1)\/(-2).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -539 + -b08?\nAnswer: -1344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -174573 take away 0?\nAnswer: -174573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1145207863?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16757130?\nAnswer: 2, 3, 5, 13, 42967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -5, 5, 0.2, 3\/4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 5 + 0 = 2*t, 5*t + 8 = i. Let a be (-8)\/(-14) - 342\/378. What is the closest to t in a, -5, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14, -31, -48, -65?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -13 and 592.7074.\nAnswer: -7705.1962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 301041221 (base 5) to base 15\nAnswer: 1879ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -32*k**4 - 368*k**3 - 504*k**2 - 244*k - 40.\nAnswer: -4*(k + 10)*(2*k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1630368 a multiple of 544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1724, 1778, 1930, 2228, 2720, 3454, 4478, 5840?\n\"Answer: 8*h**3 + h**2 - 5*h + 1720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -11cb + -7568?\nAnswer: -8755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 142850 = 142848?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 4*p = 2*o - 1184, 2*p = 4*o - 2352. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:50 AM and 2:41 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -25 + 30. Suppose 0 = b + 2*l - a, 7*l - 2*l = b - 12. Solve 12*c = b*c + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 413 + -5745\/14. Find the common denominator of d and (6\/(-14))\/(14 + (-3725)\/265).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -2.837112 and 13?\nAnswer: 15.837112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.7 and -40366929 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.31  (b) 1  (c) 2\/7  (d) 0.3319776\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 45056*g**3 + 250756*g?\nAnswer: 270336*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zqw when three letters picked without replacement from {w: 1, v: 1, t: 2, z: 1, q: 3, j: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-2 + 3 - 3)*(w + 3*w - 6*w) - 5*w + w + 2*w)*(0 + 1 - 2 + (0 - 2 + 3)*(11 + 2 - 2) + (-4 + 1 + 0)*(3 - 5 + 5)) in the form z*w + h and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -122ad - 56?\nAnswer: -12314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = c - 18. Let k = c - -13. Let m = 321 + -311. What is the smallest common multiple of m and k?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2988.44611 to 0 decimal places.\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 28003923 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z**2 - 1790*z + 1436989. Calculate r(601).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/2832 and 5\/579852.\nAnswer: 2319408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -286 = 760*a - 734*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -3*o**2 - 1. Let k(x) = x**3 + 19*x**2 + 8*x + 7. Let w(v) = 3*i(v) + k(v). Calculate w(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49\/5 of a kilometer in meters?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -6*f. Suppose -5*d = -j - 15, -3*d - 3*j = -f*d + 9. Suppose -d*l + 5*l = 45. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 40573891*w**4 - 13276780.\nAnswer: 162295564*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/10 + (-279)\/5. Let f be m\/(-7) + (-2)\/2. Suppose 0 = -i + 4 + f. Solve -3*p + i = -b, -3*p + 2*b + 14 = 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -30 + 34. Let z = p - 4.2. Let u = 3.1 + -3. Which is the closest to z?  (a) -2\/13  (b) u  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.0934 - 0.1066. What is the second smallest value in 4, 16, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate g*p**2 - 35*g*p + 1208*g - 10*p**3 wrt p.\nAnswer: 2*g*p - 35*g - 30*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**3 - 4*d**2 - 3*d - 7. Let n be m(-4). Let c be 799 + (0 - n) + 8. Suppose -20*a = -19*a - c. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0*(1\/(-5) + (-32)\/40). Suppose -5 = f - j + 3*j, f - 5*j - 23 = o. Suppose 0 = 2*l - 4, -l = -2*b - f*b + 23. Solve 5*z + 0*z = b for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 27 + 3 = 0. Let z = -31 - -34. Suppose -z*k + n = 0, 8*k - 3*k + 7 = x. Is 17 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2*2 - (-2 - -2). Let w be (-5)\/((42\/6)\/7). Suppose -2*y + 20 = 4*f, 3*y + 2*f - 13 = 5. What is the nearest to q in y, w, -0.04?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 434 divided by 33325.\nAnswer: 14\/1075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(600)*1)\/sqrt(12))**2 + 1 + (5*sqrt(18) + 5 + 1 + sqrt(2))*1)*-1.\nAnswer: -57 - 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 2*p = 32. Let j = -5312 - -5310. What is the units digit of (65\/100 + j\/p)*5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -110*l**2 + 36*l - 6. Let i(j) = 330*j**2 - 102*j + 17. Give -17*a(u) - 6*i(u).\nAnswer: -110*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 7, 52, 171, 400, 775, 1332, 2107?\n\"Answer: 6*k**3 + k**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/1 - (-281 - -16). Suppose -k*d + 256*d = -8008. Does 24 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 224949473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -44 + 35. Let k be (m\/12)\/(12\/(-32)). What are the prime factors of (((-890)\/5)\/k)\/(-1)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3345 + 3348. Solve 0*i + 4*s = d*i + 8, -3*s + 6 = 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -25*m**2 - 2*m + 1. Give h(1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-4))\/1*316\/(-8295).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 + -2. Let v = 23 - 21. Suppose 5*o - v*o - c = 4, 0 = 5*o - 4*c - 2. Solve m = 4*u + o*w - w + 10, -4 = 2*w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.34 - 0.3. Let t = 54.04 + -54. Let y = t - p. Which is the nearest to -1?  (a) 1  (b) y  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -3*g**2 - 136*g - 5. Let i(w) = -4*w**2 - 204*w - 8. Let f = -90 - -98. Let p(o) = f*h(o) - 5*i(o). What is n in p(n) = 0?\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y**4\/7 - 14720*y**3 - 884735784*y**2\/7 - 2531818833184*y\/7 + 2532703672012\/7 = 0 for y.\nAnswer: -8587, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -53739408 at most -53739409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 812 + -730. Calculate the greatest common divisor of w and 779.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6780\/(-1356)*(-58)\/5\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9246, 18480, 27726, 36990, 46278, 55596?\nAnswer: 64950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/(-12) + 5 + 20\/8. Solve 0 = g + p - 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 46 - 12. Let x(r) = -10*r**2 - 7*r - 8. Let w(b) = 11*b**2 + 6*b + 7. Let m(o) = 7*w(o) + 6*x(o). What is the remainder when s is divided by m(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 1  (b) -0.156  (c) 2\/11  (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 + -2. Let t(k) = 3*k**2 + 4*k - 2. Let a(i) = -10*i**2 - 12*i + 7. Let g(d) = -2*a(d) - 7*t(d). Let b be g(-3). Which is smaller: o or b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 divided by 3214\nAnswer: -4\/1607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**2 - 8*y - 23. Let m = -3 + 16. Suppose 7*a = m - 83. Is o(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5\/2 or 38551685?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0003366079677 to 5 dps.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 771 and -0.1?\nAnswer: -77.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*w + 2*w + 17*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k = -13*l - 590 + 91, -2*l + l = 39 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*g + 2*g + g)*(-26*g**3 + 13*g**3 + 36*g**2 + 12*g**3) as f*g**3 + b*g + r + j*g**2 + h*g**4 and give f.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 21102 - -1?\nAnswer: 21110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 18301\nAnswer: -2\/18301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*t + 130 = -5*j + 4*t, 5*j - t + 27749 - 27607 = 0 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 2952*d + 147595. What is k(-50)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Convert 200120 (base 3) to base 15.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.8078 rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 58.33332 tonnes to nanograms.\nAnswer: 58333320000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.2039948 times -0.3?\nAnswer: -0.36119844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -63227*i**2 + 10*i - 40*i**3 + 63227*i**2 + (-6*i**2 + i**2 + 3*i**2)*(-1 - i + 1).\nAnswer: -38*i**3 + 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.5 and 2233.\nAnswer: 2232.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z + 8 = 2*o + 32, -z + 3*o + 3 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -906, -925, -958, -1011, -1090, -1201, -1350, -1543?\n\"Answer: -c**3 - c**2 - 9*c - 895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 123 divide 1327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*f + 821*f**2 - 814*f**2 + 3*f + 103.\nAnswer: 7*f**2 + 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 233, 58 in decreasing order.\nAnswer: 233, 58, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 83, 168, 253, 338, 423?\n\"Answer: 85*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -462810 divided by 7?\nAnswer: -462810\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 13 (base 14) to base 9\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 100120 - -1?\nAnswer: 100121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**3 - 2*f**2 + 21*f - 8. Let n be z(-11). Let k = -3699\/2 - n. Let t = 38 + k. Which is the second smallest value?  (a) t  (b) 2  (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a millennium in years?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**2 + 10*c + 1. Determine b(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11.3 - 11. Sort 1\/5, -0.5, 2, v in descending order.\nAnswer: 2, v, 1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 127 (base 11) to base 8\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + i - 3 - 2)*(3*i**3 - 31*i**3 - 14*i**3).\nAnswer: -42*i**4 + 42*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2809610 by 561922.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 222601696?\nAnswer: 2, 53, 131251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 + -8. Let i = 0.4459 + -0.0459. What is the smallest value in 2, i, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w\/w**(-1\/2))**(-1\/43)\/(w\/(w*w*(w\/w**(-1))\/w*w))**(-2\/151))\/((w*w**3\/w)\/(w\/w**(-1\/4)))**(-6) assuming w is positive.\nAnswer: w**(67541\/6493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.0171614 from -2.\nAnswer: -1.9828386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 116580, 233160, 349716, 466236, 582708, 699120, 815460, 931716?\n\"Answer: -2*r**3 + 116594*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 12*n - 1. Let z be m(1). Suppose -10*w - 19 - z = 0. What is the common denominator of 1\/10 and w*1\/(-18)*35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s = 28*q + 551, 0 = -3*q - 269*s + 271*s - 66 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -56.3 in -3, 1, -0.1, -0.027?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 25666\/7 - 3678. Let k = -233\/21 - g. What is the closest to 0.4 in -3\/4, -3\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -3*s + 15. Calculate the remainder when x(-13) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 193797 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**2 - 4*g + 3. Let u be m(4). Suppose 0*b - 3*b = -u. What is the greatest common factor of b and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -2*h - 2. Calculate u(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 57?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0.36*-5\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 27932*x + 1787643. Determine f(-64).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 49, 125, 219, 337, 485, 669, 895?\n\"Answer: y**3 + 3*y**2 + 60*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**2 + 14*f - 5. What are the prime factors of n(10)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -19*l + 294 + 181. Suppose -5*r - 3*z - 21 - l = 0, 18 = -3*r + 3*z. Which is greater: -65\/8 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -1, 4.71, -0.04, 1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 24 times 7.445\nAnswer: 178.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l. Let m(j) = 5206547*j. What is m(w(y))?\nAnswer: -5206547*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 116868 smaller than 7\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n - 2*g = 12, 0 = -4*n - 29*g + 27*g + 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/18 + 147693\/78219. Let g = -27064\/47594813 - 2\/16429. Let o = g - l. Find the common denominator of o and 61\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**3 + 9*o**2 - o - 6. Let q be g(-9). Suppose 25 = -2*a - q*a. Let c(r) = -r**3 + 5*r**2 - 4*r - 3. Let h be c(4). Put a, h, 4 in descending order.\nAnswer: 4, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 3*u**5 - 10632*u**4 + 12574092*u**3 - 4979264880*u**2 + 19766510400*u - 19716384000 = 0.\nAnswer: 2, 1180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000010692 rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (230\/(-4) + -5)*-6. Let a = g - 198. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5.06 - 0.06. Which is the closest to -1?  (a) 0.4  (b) 1  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.86 - -1.46. What is the smallest value in -3\/13, 0.29, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 654691462?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -123 - -122.5. Let k = 98.06 + -99. Let z = k + 1. What is the biggest value in h, 5, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:36 PM and 7:07 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1004, 1655, 2306, 2957?\nAnswer: 3608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -622.2 - -527. Let f = -13.2 - a. Let q = f + -79. What is the nearest to -2\/11 in -0.2, q, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 593 = 4*g - 2*i - 453, 0 = 4*g - 5*i - 1055. What are the prime factors of g?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes before 10:47 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 9575385 to the power of 1\/2, to the nearest integer?\nAnswer: 3094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -774 - 31420?\nAnswer: -32414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the first derivative of -3*t**2 + 2*t + 555. Calculate b(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**3\/3 - 18599*x**2\/3 + 37201*x\/3 - 18601\/3.\nAnswer: -(x - 1)**2*(x + 18601)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -280*k - 8. Does 16 divide b(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-2 + sqrt(1700)*1 + sqrt(1700)) + (1*(sqrt(17) + ((sqrt(17) - sqrt(17)*-2)*-3 - sqrt(17)) + -5))**2.\nAnswer: 30*sqrt(17) + 1408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 26, 5, 1 in decreasing order.\nAnswer: 26, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -7*r**2 + r + 1. Let k(u) = u - 1. Let d be k(1). Let c(p) = -1 + 5*p - 4*p - p**2 + d*p. Let x be c(0). Calculate w(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 + -1 - (-5 - 3). Suppose -2*a - 13*a + 18*a = 0. Sort a, -1, 2, n.\nAnswer: -1, a, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -15*q**5 - 125*q**4 + 1865*q**3 - 235*q**2 - 10370*q - 3360 = 0.\nAnswer: -16, -2, -1\/3, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -3, -6, -88, -7, 0.\nAnswer: -88, -7, -6, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1751 - -6497. What is the thousands digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -14.3 or 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 1045*d**2 + 1331*d + 352. Let w(x) = 36*x**2 + 46*x + 12. Determine 3*l(q) - 88*w(q).\nAnswer: -33*q**2 - 55*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -7564806 + 7564806 - 2945*b**2 as i*b + n*b**2 + y and give n.\nAnswer: -2945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -35*o**4 - 1014*o**3 + o**2 + 366038*o wrt o?\nAnswer: -420*o**2 - 6084*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 37, 0.4, -0.1, 2, 3, 0.3 in decreasing order.\nAnswer: 37, 3, 2, 0.4, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*j + 26 = -15*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the second derivative of -g**3\/2 + g**2 - 4*g. Let a(b) = 15*b - 11. Let c be 0 + 0 + 20 - -2. Suppose r + c = -r. Calculate r*m(z) - 2*a(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.33 + 226.33. Let n = -225 + x. Put n, 2\/9, -9, -2\/23 in ascending order.\nAnswer: -9, -2\/23, n, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d - 38 + 18. Is 12 a factor of d\/26 - (-4674)\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1 + -db192?\nAnswer: -db193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (70\/14)\/(66 + -11).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 9 + 13 = 0. Let y(n) = -1. Let h(p) = -p. Let g(a) = -a + 2. Let t be g(0). Suppose 0*z = t*z - 4. What is d*y(l) + z*h(l)?\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 34 - 5. Suppose j - 4*j + 5*v = s, -4*v = -3*j - 25. Let l = -1800.5 - -1800. Which is the second biggest value?  (a) j  (b) l  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 333824\/57 - 16547\/3. Let f = l - 341. Sort f, 1\/5, 4 in decreasing order.\nAnswer: 4, 1\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence or when two letters picked without replacement from {o: 7, r: 3, s: 4}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a, 1 o, and 1 t when four letters picked without replacement from {o: 1, t: 1, g: 1, a: 12}.\nAnswer: 22\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 + 2. Suppose n + r = 4. What is the lowest common multiple of 1*(3 + 12 + n) and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ffraqgggfdr. Give prob of sequence fdg.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + ((-3)\/6*-6)\/(135\/(-135))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**2 - q - 5. Let v be h(-2). Solve v = 3*d - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -36*n**3 - 44*n**2 - 16. Let a(v) = -7*v**3 - 9*v**2 - 3. Let d(m) = 16*a(m) - 3*w(m). Find the third derivative of d(t) wrt t.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -682 - -423. Let b = n - -258. Is -2\/199 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19766, -2, 12 in increasing order.\nAnswer: -19766, -2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3497, 2927, 2357, 1787, 1217, 647?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4353, -4354, -4355?\nAnswer: -4356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 = -13*f + 10. Let m(k) = -k**2 - 5*k + 1. What is m(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((20\/(-12))\/(-5))\/(327\/4905)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6\/30 + (-1902)\/(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 956 is divided by 467.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 50*l**3 - 110*l**2 + 15*l. Let q(k) = k**3 - 3*k. Let z(b) = -10*q(b) - 2*v(b). Find the third derivative of z(r) wrt r.\nAnswer: -660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 3 + 5 = 0. Suppose t - 21 = v*a, -5*a + 15 + 10 = 0. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w**3 - w**2 - w - 1. Let t(g) be the third derivative of g**6\/20 + g**5\/30 + g**4\/6 + g**3\/2 - 7*g**2. What is -4*c(x) - t(x)?\nAnswer: -2*x**3 + 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -159 = -3*x + 6*b - 3*b, x + 3*b = 69. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -150 + 350. Calculate the greatest common factor of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 908.35 - 910. Let g = -8.3 - -10. Let k = a + g. Which is bigger: 0.1 or k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Add -0.03 and 1165811.7.\nAnswer: 1165811.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 0, 48 in decreasing order.\nAnswer: 48, 8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -h - 2*x, 2*x + 5 = 2*h - 25. Let w = -7 + h. Solve -2*b = b + w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t - 6, -w - 5*t + 22 = 2*w. Solve n + w*n**4 + 16*n**3 + 4 + 24*n**2 + 15*n + 0*n**3 + 0 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -181 + 1346. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -83*l = -16523 - 59007. Is l a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9.5 - -5.2. Let f = -4.5 - o. Let n = -1.5 + -0.5. Sort -0.3, f, n.\nAnswer: n, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 100869950*q**6 - q**2 - 120*q - 17313?\nAnswer: 12104394000*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 57\/2 of a milligram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -1566*s**2 + 70492*s - 98. Give r(45).\nAnswer: 892","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m - 2*m + 20. Suppose 0 = m*o - 4*v - 2, o + 5*v = 5 + 7. Suppose -5*f = 2*n - 1 - 50, -4*f + 2*n + 48 = 0. Solve 3*y + o = f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 335, 362, 417, 506, 635, 810, 1037, 1322?\nAnswer: 1671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 50.2, 0.4, -2\/9, 0.3, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.5  (b) -313  (c) 1\/3  (d) -0.053  (e) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 144 = 74*i - 65*i. Solve 0 = -5*a - o - 9 - i, 5*o + 13 = 3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -32225, -64419, -96613, -128807, -161001?\nAnswer: -193195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 0*t + 24 = 3*t, 5*n - 84 = 3*t. What is the lowest common multiple of n and 40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -339*d - 53*d = 486*d - 86*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 + 9*r**2 + 3*r + 31. Let f be k(-9). Suppose -4*a + 3*g = -0*g - 2211, a = f*g + 556. List the prime factors of a.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -482143224*u**4 - 12*u - 6992380 wrt u?\nAnswer: -5785718688*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 279 is divided by 262.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -187*f**3 - 109*f**3 + 1 - 7*f**2 - 42*f**3.\nAnswer: -338*f**3 - 7*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o + 2*o - 4 = 0. Let h = o + 1. Is 6 a factor of 114\/9 - 2\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -468 - 7*w + 468.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-40 - 9*g**3 + 7*g**3 + 92 + g**2)*(-2*g - 2*g + 2*g) + (-1 - 1 + 3)*(-2*g**4 + 0*g**4 + g**4).\nAnswer: 3*g**4 - 2*g**3 - 104*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the second derivative of -23*v**4\/4 - 5*v**3\/3 - 3*v**2 + 178*v. Find the second derivative of j(x) wrt x.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**3 + 4*u**2 - 6*u - 3. Suppose 3*v = v - 3*f - 16, 5*v - f + 23 = 0. Let m be s(v). What is the nearest to m in -0.1, -2\/3, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(28) + 1.\nAnswer: 1 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes after 9:52 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 18*k**2 - 47*k**2 + 68*k**2 + k**4 + 30*k**2 - 26*k**3.\nAnswer: k**2*(k - 23)*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 45 = -4*w. Suppose -29 = -t + 4*h - 42, -27 = 5*t - h. Put t, -1, w in decreasing order.\nAnswer: -1, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzkgzlllkllzlhl. Give prob of sequence khz.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 17*b**2 + 14*b - 3. Let h(f) = -4*f**2 + 7*f + 6. Let x be h(-1). Does 16 divide d(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 656 and 1394.\nAnswer: 11152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - (-136)\/32)*(-4 + 16).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 104  (b) 0.021  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the first derivative of 4*q**3\/3 + 110. Let h(o) = 17*o - 25. Calculate h(y(p)).\nAnswer: 68*p**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 131?  (a) -0.4  (b) 3  (c) -6\/4523\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2\/7*r**3 + 102*r**2 - 8\/7*r - 408 = 0. Calculate r.\nAnswer: -357, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -466.72 - -467. Let u = 18.78 - 19. Let f = u - p. What is the biggest value in -2\/3, -9, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1664313 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*v - 21*v - 211 = -3*c, -3*v = -15. Calculate the greatest common divisor of c and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*k**4*p**2 - 106*k**3*p**2 - 2*k**2 + 57*p**2 wrt k.\nAnswer: 48*k*p**2 - 636*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 19, 3, 72, -9 in ascending order.\nAnswer: -9, 3, 6, 19, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the second derivative of -h**3\/6 - 2*h**2 - h. Let k be c(6). Is 2\/k - 192\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**2 + 16*a - 3. What is l(-16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 97.842 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:48 PM and 12:32 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04255 minus -37?\nAnswer: 37.04255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + o = 5*o + 6, -5*k + o = -13. Let i = 3 - k. Let b be (-3 - -5) + i - -3. Solve -4*d + 5*r = -8, 0 = -3*d + 2*r - r + b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*x - 8*x = -4, -2*o = 5*x - 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (((-2)\/(-200))\/((-12)\/(-96)))\/(104\/195)\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/40 in 0, 4, 10, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 93 = -4*v - 2*r + 4*r + 57, -6*v - 966 = -r - 912 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/2898133 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 0 = -u. Let d = 0.099 + -3.099. Let x(q) = -q**2 - 5*q - 5. Let v be x(-4). Which is the closest to 0?  (a) v  (b) d  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 45.1 - -13.9. Let k = p - 59.0000193. What is k rounded to six dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 13*z - 59. What is the lowest common multiple of (18\/(-30)*2)\/(5\/(-150)) and g(5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 628328?\nAnswer: 2, 78541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1908, -5 in increasing order.\nAnswer: -1908, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 9 = 3*j, -p + 2*j - 14 = -6. Suppose -3*y = -p*x + 3*x - 631, y - 1909 = -3*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 n and 1 f when four letters picked without replacement from nffnnfnnnnfnnnfnnn.\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 91 - 0. Suppose o - 125 = -5*s, o - p - 39 = -4*s. What is the remainder when o is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -320*b**5\/3 + 20720*b**4\/3 - 445445*b**3\/3 + 1221025*b**2 - 4218240*b + 5140980 = 0 for b.\nAnswer: 3, 39\/8, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 68\/875 and -12\/665.\nAnswer: 16625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8 - (2 + 1)) + 52 + (-11 - (3 + -3))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**3 + 6*r**2 - 7*r + 3. Let v be z(-7). Suppose -v*x + 0*x - 2*t - 2 = 0, 3*x - t = 1. Suppose x*l = -5*l + 190. List the prime factors of l.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9 - -5 - 46\/(-12))*87\/232.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3 + 0\/3 + 0. Suppose 4*p - 3*l = 35, -s*l - 25 = -4*p - 2*l. Sort -2, -3, p.\nAnswer: -3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*o + 27 = 3*s - 1141, -4*o - 596 = -3*s. Sort o, 10, 2, 1 in decreasing order.\nAnswer: 10, 2, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -296, 8, -12, 3 in ascending order.\nAnswer: -296, -12, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 less than 6151801?\nAnswer: 6151802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*z - 9*z - 12. Let i be (-1)\/(z\/16) - 1. Let l be ((-5)\/1 - -4)*i. Solve 4*a - l*a = -5*n - 5, 5*a + n + 1 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 48232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 9 = 2*l - 19, l - w = 10. Let n(h) = -h**3 + 4*h**2 + 10*h - 7. What is n(l)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(135)\/(sqrt(9) + (-1*sqrt(9) - sqrt(9)) - sqrt(9)))\/(4*sqrt(3)*-2)*-1.\nAnswer: -sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vovnvnnvnnnvvnvvnnv. What is prob of picking 4 v?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 15b53d + 4d?\nAnswer: 15b58a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 10014514 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 20782766*l**3 - 56925*l**2 - 40*l?\nAnswer: 124696596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 192585 times 0.24?\nAnswer: 46220.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3358*a**4 - 37*a - 1027455.\nAnswer: 13432*a**3 - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -6, -1, 4 in descending order.\nAnswer: 4, -1, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -g + 2*r + 16, 2*g + 4*r - 48 = 0. Let i be (4\/(-3))\/(g\/(-27)). Suppose 5*m - i*m - 9 = 0. Solve 6 = -m*c + c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 675666269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 180576 a multiple of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 4, 5, -5, -98.\nAnswer: -98, -5, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00493656 rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/6  (b) 5  (c) -1  (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-8)\/10)\/((-18)\/45). Suppose 0 = -w - 6*b + v*b - 17, 5 = -5*b. Do -12 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -166560 divided by -32.\nAnswer: 5205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12.6 - -12.3. What is the nearest to -1 in -1\/2, -12, t?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1560, -3116, -4664, -6198, -7712?\nAnswer: -9200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h - 1. Let s be z(-6). Let l(q) = q**3 - 5*q**2 + 3*q - 4. Let g be l(s). Solve 5*b = i + g, 10 = 2*b - 3*i + 4*i for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -27\/191395 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 10\/62793 and 51\/21656608?\nAnswer: 194909472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/50 and -17\/165?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -18.87 - -19. Let q = -78 + 77.63. Let l = q - -0.07. Which is the second biggest value?  (a) f  (b) -1\/5  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 222003131 (base 4) in base 3?\nAnswer: 22202021202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 7*b + 1. Let n = 16 - 0. Suppose -3*r = -46 + n. What is the least common multiple of r and p(3)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(180)*3)**2.\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 4*g**2 + 26*g - 41. Let s(h) = h**2 + 5*h - 8. Let w(d) = 2*a(d) - 11*s(d). Factor w(j).\nAnswer: -3*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5066?\nAnswer: 2, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 less than 4189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 924137764 to the power of 1\/2, to the nearest integer?\nAnswer: 30400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve c = 5*c + 8550 - 8566, -56 - 52 = 4*f + 11*c for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 164.9702376 milliseconds in weeks?\nAnswer: 0.00000027276825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 93581655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -31.085 + 31.1. Round r to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 85 - 94. Let n be (5 + (a - -2))*(-2 - 0). Let m(b) = 4*b**3 - b**2 - 7*b + 11. List the prime factors of m(n).\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1923231545 to the nearest one million.\nAnswer: 1923000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-9)\/(-42))\/(4\/(-14)). Let q(x) = -10*x**3 - 2*x - 1. Let z be q(-1). Suppose 5*m - 3*i + z = 0, -3*i = 2*m + 3 - 7. Is m at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76) + -4*(2*sqrt(76) - sqrt(76)) + 4 - (-3 + (sqrt(19) - (sqrt(19) - sqrt(171))) - 2*sqrt(19)*1))**2.\nAnswer: -98*sqrt(19) + 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 12132 divided by 398?\nAnswer: 6066\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 27871042 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 322462327 to the nearest integer?\nAnswer: 17957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x**2 - 17*x - 20. What are the prime factors of w(-15)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**27\/c)\/c**(-1\/7))\/((c*c**(2\/7))\/(c*c**(-8\/5)*c)) assuming c is positive.\nAnswer: c**(884\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5377333912 to the nearest integer?\nAnswer: 1752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 1\/46  (b) -3  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -4, -1\/5, -0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -3 + 5 - 3 - -4. Suppose r = -n*r + 68. Calculate the remainder when 66 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/22 + 8\/(-88)*167. Is l smaller than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 2*c + 18. Let t = 8 + c. What is the third smallest value in 4, t, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 61576 - 61576 - 183*u.\nAnswer: -183*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1154086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.134308 to 3 dps.\nAnswer: 0.134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 4*x**3 - x**2 - x + 6. Let j be m(2). Let y = j - 30. What is the first derivative of 0 + 10*t**2 + 15*t**2 - t**y - 1 wrt t?\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -33*z**3 - 7*z**2 + 42*z. Let h(o) = -17*o**3 - 3*o**2 + 21*o. Let d(x) = -3*c(x) + 7*h(x). Find the second derivative of d(u) wrt u.\nAnswer: -120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9\/187 - -311\/1309. Let p = -21.8 + 22. Which is the second smallest value?  (a) -0.8  (b) t  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 81.2 * 0.12058.\nAnswer: 9.791096","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: What is -60900000 rounded to the nearest 1000000?\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(3 + ((sqrt(25) - (sqrt(25) + sqrt(100)\/sqrt(4)))\/sqrt(5))**2) + -1*(1 + sqrt(5) + -3 + 2).\nAnswer: -40 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -4*y - 32. Let h be u(-10). Suppose 5*m - h*t - 25 = -3*t, 3*m + 3*t = -3. Factor 0 + 1\/4*l**5 + 0*l**4 + 0*l**m + 1\/4*l - 1\/2*l**3.\nAnswer: l*(l - 1)**2*(l + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12*(-2)\/14)\/(((-60)\/(-126))\/(-5))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 3840.\nAnswer: 1\/1920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 638 + -637.8. Which is the closest to -1?  (a) z  (b) 14  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**2 + s + 12. Let q be z(0). Suppose -3*u + q = u. Suppose u*v + 1410 = 6*v. Round v to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10050773 is divided by 99.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the third derivative of -1\/12*b**5 - 125\/6*b**3 + 14*b**2 + 0 + 0*b - 25\/12*b**4. Let y(n) = 0. What is n?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 317 - 202. Let k = -81 + o. List the prime factors of k.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 10, v: 10}. What is prob of picking 2 e?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 174886 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17 - -9) + 8 - (-10 + 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 856951, 1713840, 2570729, 3427618?\n\"Answer: 856889*n + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lss when three letters picked without replacement from {p: 10, b: 2, l: 1, k: 1, s: 2, c: 3}?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 359 + -356. What is the greatest common divisor of 9 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.06313 - -315.\nAnswer: 317.06313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.069 - 0.131. Let f = 0.02 + -0.42. Which is the nearest to -2?  (a) z  (b) 2\/5  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + a + 1 + (-a + 2*a + a)*(1 + 4 - 3) + 236*a - 173*a + 651*a + (-3 + a + 3)*(-5 + 3 + 3) + 0*a - 5*a + 3*a.\nAnswer: 718*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 240461 divided by 49?\nAnswer: 240461\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 82\/(-264) - (-378)\/6237.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -21 + 36. Suppose 5*f - 75 = -h. Suppose -5*d - c + f = -3*d, -3*d - c + 20 = 0. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 38, 67, 96?\n\"Answer: 29*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -70\/53 - -1156\/795. Let u(w) be the first derivative of 1\/10*w**4 + 2 + 0*w - j*w**3 + 0*w**2. What is p in u(p) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.2 + -0.1. Let y = -3 + 2.7. Let n = y + 1.3. Put n, t, -3\/2 in increasing order.\nAnswer: -3\/2, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**2 - k + 50. Let d(t) = t + 6. Let i be d(-6). Let r = 0 - i. Is 13 a factor of o(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/2394 and 86\/13167?\nAnswer: 26334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hthththhhhhhyryr. What is prob of picking 1 y and 1 h?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36\/11*f - 12\/11*f**2 + 0 - 1\/11*f**3 = 0 for f.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 4*u**2 - 4*u. Let b be f(3). Suppose 15*l - b*l = -90. What is the greatest common divisor of 250 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**27*j\/(j*j*j**(1\/12)))\/(j**(1\/18)\/j**(-18)) assuming j is positive.\nAnswer: j**(283\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:03 AM and 3:40 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(6*sqrt(2)*3 - (1 + sqrt(10)\/sqrt(5))).\nAnswer: -34*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 65426 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 69 by 5821.\nAnswer: 69\/5821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 1556921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6161 and 244?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 27720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 715861 is divided by 157.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bkhbkkhkkkbkqkbbkb. Give prob of picking 1 k, 1 b, and 1 q.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 15, 10, -3, -615, 1\/6, -2, -0.4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 29 = -5*l, 2*v - 16 = 4*l - 0*l. Is (-2009)\/(-9) - v\/27 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-8 + 10)*(-17843)\/(-6)*(-63)\/(-7).\nAnswer: 3, 7, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lwwf. Give prob of picking 2 f, 1 l, and 1 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -5425.457 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -6011 equal to 2447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -7.6 and -3588?\nAnswer: 27268.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -4*s + 5. Let z be i(5). Let a be 2\/10 - 117\/z. What is the second derivative of -a*h - 5*h**2 + 2*h**2 + h - 2*h**2 wrt h?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.48 + 0.12. Let x = 2 - g. Let k = 0.1 + x. Which is the biggest value?  (a) k  (b) -3  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = 2*p + 3*p - 50, p = -2*w + 10. Solve 2*f - 5*h + 3 = -p*h, 1 = -h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.3 - 1.3. Suppose 503*w - 2716 = -15395 - 37621. Is x != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-134418)\/(-774)*(-24)\/2. Are -2085 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kf when two letters picked without replacement from hkxkfldd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1, -124, 45 in increasing order.\nAnswer: -124, -5, 1, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 11943862837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -11*p**3 - p**2 - p + 1. Let z be r(-2). Suppose 4*q + 11 = z. Suppose 5*c = 26 + q. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q + 4*q. Suppose 5*n + 3 - 13 = q. Is n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -19 - -173\/9. Let k = -428 + 426. Which is the nearest to -1\/3?  (a) r  (b) k  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -224828, -224829, -224830?\nAnswer: -224831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 8) to base 14\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f - f - 6*f)*(5*f + f - 3*f + 4).\nAnswer: -15*f**2 - 20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y**2 + 3*y - 3. Let b(w) = 2*w - 2*w - w - w**2 - 1 + 7*w. Let h be b(7). Let q(f) = 2*f + 12. Let g be q(h). What is m(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 27*m**5\/8 + 10371*m**4\/8 + 150573*m**3\/8 + 7389*m**2\/8 - 16605*m = 0. What is m?\nAnswer: -369, -15, -1, 0, 8\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1769, -3499, -5229?\n\"Answer: -1730*m - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 6, r: 2, v: 2, j: 6, f: 1}. Give prob of picking 1 v and 2 r.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16899 - 10371 = 139*j - 11*j + 377*j for j.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.5 and -0.0252308.\nAnswer: -0.5252308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -162026?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8958 + 3501 = 45*d - 152*d. Let q(s) = s**3 + 9*s**2 - 2*s - 3. Let h be q(-4). What is the greatest common factor of h and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(70)\/(sqrt(1440)*-2) + -1)**2.\nAnswer: sqrt(7)\/12 + 2887\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*z**(-12)*z**(-4\/7)*((z*z\/z**(4\/7)*z)\/z)\/z*z**(2\/9)*z*z assuming z is positive.\nAnswer: z**(-562\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-38)\/(-8))\/(-15 + -14) and 43\/60.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.273 + -5.273. What is the closest to -6 in 3\/4, 0, 0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 39 and 32019?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 19110410 to the nearest integer?\nAnswer: 4372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Let r = 341449 - 153312. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*k - 4*k**4 + 4*k + 2*k**4 - 2*k**4 + k**4 + (-2*k**3 + 3 - 3)*(3 - 3 + k) + 0*k**4 + 5*k**4 - 6*k**4 - 6*k**4 - 3*k**4 + 3*k**4.\nAnswer: -12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 40 - 22. Let k(h) = -6*h + 148. Let r be k(6). Let y = r - 62. What is the remainder when y is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3084257 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 16\/3*h + 12 + 4\/9*h**2.\nAnswer: 4*(h + 3)*(h + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nhzw when four letters picked without replacement from {b: 7, w: 1, h: 3, n: 3, z: 2, q: 3}?\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2948?\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -300 - -306. Suppose i = -5*z + 2518, -i = 3*z - z - 2518. Suppose -w*r + r = 2*u - i, 0 = -3*r. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**2 - 19*d - 12. Calculate g(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -81\/1648 and -65\/6.\nAnswer: 4944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -19*b**3\/5 - 4369*b**2\/5 + 46*b.\nAnswer: -b*(b + 230)*(19*b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s**3\/2 - 38336723*s**2 + 734852203526086*s - 1469704253705284 = 0. What is s?\nAnswer: 2, 38336722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 289 - 272. Suppose -c*f = -12*f + 10. What is the second smallest value in 6, -1, f, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18 + 2366\/104 - 30\/(-24)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:21 PM and 8:50 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f, 3*w - 4*f + 52 - 10 = 0. Let g be w\/8 + 10\/(-35)*-7. Factor 1\/2*z - g - 1\/2*z**3 + 1\/4*z**2.\nAnswer: -(z - 1)*(z + 1)*(2*z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -2*g + 155. Let t(q) = q - 85. Let x(v) = -3*a(v) - 5*t(v). Give x(18).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6123 (base 12) to base 4.\nAnswer: -2210223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 955 divide 39989476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*g = -2*g - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.5 in 9\/5, -2, 24?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 213, 206, 199, 192, 185?\n\"Answer: -7*n + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 3 + (-43 - (-12 + 2 - -5)) + 10\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:14 PM and 11:03 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1168*z**3 - 592*z**3 + z**2 + 4*z**4 - 4*z**4 - 633*z**3 + z**4 + 63*z to the form q*z**2 + i*z**4 + a*z + s + b*z**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -79*r**3 - 80*r**2 - r.\nAnswer: -r*(r + 1)*(79*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 5*v - 21. What is the remainder when 18 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 62*o = 65*o - 50880, 4*q + 5*o - 67835 = 0. List the prime factors of q.\nAnswer: 3, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4324568.8 rounded to the nearest ten thousand?\nAnswer: -4320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 32 + -43 - (-33)\/3. Let g(l) be the third derivative of t*l + 0*l**4 - 3*l**2 - 13\/60*l**5 + 0*l**3 + 0. Let s(j) = 2*j. Give s(g(x)).\nAnswer: -26*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that -502\/9*b**2 - 94\/3*b + 2*b**4 - 44\/9 - 50\/3*b**3 = 0.\nAnswer: -2, -1\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/12, 6.71, 1\/5, 110, 1 in decreasing order.\nAnswer: 110, 6.71, 1, 1\/5, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0007816791 rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02858510923 to three decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by -3581?\nAnswer: -1\/3581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 0.4, -0.1, -5, 53?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.4 + -0.5. Let s = 12 - 26. Let o be (-3)\/(-5)*s\/21. Which is smaller: o or x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9.4 - 9. What is the second biggest value in i, 0, 3, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -2*b - 3*b + 3 - 10. Let s be a(5). Let g = -22 - s. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-3\/2)\/c**(-5)*(c**(-1\/2)\/c)**24)\/(((c*c**0\/c*c*c)\/c*c)**(-26))**(21\/5) assuming c is positive.\nAnswer: c**(1859\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 3*d + 26, 16 = 4*d - 2*d + 4*w. Let c be d\/(-4) - 19\/2. Let a = 14 + c. Solve -a*u + 2*u - 15 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21b (base 12) in base 2?\nAnswer: -100110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 + 3. Is (-72)\/(-2) + q\/2 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - ((8 - 18) + 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -2*r + 8. Let k(v) = -v + 3. Let z be (3 - (-3 - 0)) + 2. Let m be ((-1)\/3)\/((-7)\/441*-7). Calculate m*j(n) + z*k(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 7429538 and -191437?\nAnswer: 7620975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 12 = 4*u. Let k = -50 - -71. Solve 0*r + 4*c = -u*r + k, 0 = -r - 3*c + 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15371 (base 10) to base 16.\nAnswer: -3c0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**3 - 10*x**2 + 18*x + 21. Let p be f(-11). Let b = -55 - p. Put 0.6, b, -2\/7 in descending order.\nAnswer: b, 0.6, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**2 + 24*u - 60. Let g be j(-28). Suppose -5*p + 8 = -g. Calculate the greatest common factor of 384 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**3 + 12*k**2 - 13*k - 9. Let o be t(-13). Let w(z) = z**3 + 7*z**2 - 21*z - 19. Calculate the remainder when 2*27 - -1 - 1 is divided by w(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*k + 64 = -9*k. Suppose -14*l - 26 = -k*l. Calculate the greatest common divisor of l and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes after 5:43 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + -11 + 10 + 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by 12108972\nAnswer: 1\/12108972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 28 in 2\/7, -0.2, -2\/11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67*a - 131890 - 81328 = 41851. List the prime factors of a.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.9999*0.4.\nAnswer: 0.79996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f**5\/7 - 216*f**4\/7 - 1605*f**3\/7 - 4206*f**2\/7 - 4716*f\/7 - 1896\/7 = 0.\nAnswer: -2, -1, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -52*g + 11. Suppose 6*b + 15 - 3 = 0. What is the tens digit of p(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:37 AM and 11:46 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 35, -7, -1770, 5, 1, -1.\nAnswer: -1770, -7, -1, 1, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/6 of a minute in seconds?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6924 divided by 3462.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 + -48271030?\nAnswer: -48271027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -850*i + 811*i - 74 + 74.\nAnswer: -39*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*p + 4431 = -753. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -102 (base 3) in base 4?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*g + g + g + 6*g as x*g + c and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 203\/(-5) + (-4)\/10. Let r = c - -44. Solve 0 = r*k - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19 - 6 = -206*d + 219*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 - 62*q**2 - 147*q - 1622. Determine i(-60).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 91 - 90.5. Which is the nearest to 1\/5?  (a) 2  (b) -2\/3  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 0, -2*n = 2*u - n - 180. Let m be (-1)\/(-2) - 117\/(-26). Suppose m*q = u + 140. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1241153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00139748 rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 54838 and 41152002?\nAnswer: 288064014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 19*i = 17*i + 34, 0 = -2*c - i - 11. Let u(d) = 4*d + 19. Calculate u(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1785410 is divided by 927.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 104394741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -44*n**2 + 45*n + 27. Determine s(-1).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4275341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a microgram in nanograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -6 - ((-3 - 4 - -3) + 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -3503665 and -28?\nAnswer: 3503637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 14712151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 1 g, and 1 u when three letters picked without replacement from ujzgtgugukuu.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-16)\/84*(-325302)\/(-12). Let u = q + 5165. Find the common denominator of u and -103\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2 + -1 + 0 - -1. Let p(c) be the first derivative of -c**3\/3 + 2*c**2 - 3*c + 12. Let d be p(1). Put a, d, -4 in descending order.\nAnswer: d, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -41, 0, 6, -86, -8, 8.\nAnswer: -86, -41, -8, 0, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**2 + 1. Let s = -50 - -53. Let y(h) = 4*h**2 - 4*h - 11. Let a(q) = s*z(q) + y(q). Let l = 16 - 10. Give a(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*p**3 + 0*p**3 + 0*p**3 + 144*p**2 - 144*p**2.\nAnswer: -11*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -39 - -39. Which is smaller: 1\/12 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -270 by -80760.\nAnswer: 9\/2692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(2) + (sqrt(2) - sqrt(96)\/sqrt(3) - sqrt(2) - sqrt(2))) + sqrt(36)\/sqrt(2) + sqrt(242) + 1)**2.\nAnswer: 60*sqrt(2) + 1801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2269061, -2269052, -2269039, -2269022?\nAnswer: -2269001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*q + 3*q - 9. Let y(p) be the second derivative of 1\/12*p**4 + 2\/3*p**q - 2*p**2 + p + 0. What is y(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**3 - 819829*u**2 + 1639655*u - 819827.\nAnswer: (u - 819827)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 + 2.1. Let g(v) = v**3 + 3*v**2 + v - 1. Let w be g(-4). Let h = w + 85\/4. Which is smaller: u or h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 2*x**3 - 16*x**2 + 23130*x - 255175. Determine a(11).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the third derivative of -n**5\/60 - n**4\/24 + n**3\/3 - n**2. Let p(l) = -l**3 + 4*l**2 + 2*l + 13. Let h be p(5). Give a(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -163\/546 and 5\/5096.\nAnswer: 15288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n + 59 - 65 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i**2\/8 - 105*i\/8 - 13221\/4 = 0. Calculate i.\nAnswer: -78, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the second derivative of 7*i**4\/12 - i**2\/2 - 2*i. Let s(a) = -a**2. Let j(k) = 5*s(k) + y(k). What is the derivative of j(f) wrt f?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 152845576763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 52 = -6*b. Find the second derivative of b*o + 11*o**2 - 19*o**2 - 1 - 39*o**2 wrt o.\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by 1854.\nAnswer: -1\/1854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1 and 2\/8 + (-245)\/(-28).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, y: 3, d: 5, g: 7, l: 1}. What is prob of picking 2 i?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 909?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the first derivative of -k**6\/5 - 5*k**4\/12 - 4*k - 4. Let v(d) be the first derivative of u(d). Find the third derivative of v(m) wrt m.\nAnswer: -144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 5  (b) -14  (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 24 = -g + 15, b - 4 = 0. Let m(v) = -3*v**2 + 65*v + 44. Let p be m(22). Suppose -p*y - 25 = -23*y. Is y at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u - 3*b = 10, -3*u - 1939*b = -1935*b + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -59*h**2 - 208*h + 486. What is n(4)?\nAnswer: -1290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes before 9:49 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -278 + 1720. List the prime factors of y.\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -294 + 303. Let h(q) = w + q + 5 - 3*q**2 - 20 + 10. Calculate h(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7941015 is divided by 33226?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/((y\/y**(1\/2))\/y))**(19\/6)*y**2\/y**(1\/3) assuming y is positive.\nAnswer: y**(77\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*4\/56*4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve f + 11 = -7*r + 4*r, 5*f = -4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u**(-12)*u))\/u**5 assuming u is positive.\nAnswer: u**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**3 + 11*w**2 + 9. Suppose 0 = -7*m + 2*m - 4*f - 10, 0 = -4*f. Let i be m\/(-6) + (-32)\/(-3). List the prime factors of u(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10\/27243 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46127768?\nAnswer: 2, 97, 59443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*y + 48 - 6 = 0. Which is bigger: y or -7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -5\/77  (b) -357  (c) -4\/3  (d) 2  (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -11*o**3 - 5*o**2 + 15*o + 38. Calculate the remainder when g(-3) is divided by 63.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 26 - 6. Let i = 24310\/399 - 3670\/133. Factor h + i*g + 10\/3*g**3 + 55\/3*g**2.\nAnswer: 5*(g + 2)**2*(2*g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 350355814 to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -5866, -11737, -17608, -23479, -29350, -35221?\n\"Answer: -5871*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.12  (b) 0.4  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 128203 or 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((sqrt(102) + (sqrt(102) - ((2*sqrt(102)*-2 + sqrt(102) - sqrt(102)) + sqrt(102))))*-4)\/(4*(-4*sqrt(24)\/sqrt(4) - sqrt(6)))*6)**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30\/(-135)*2\/(-4).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 9*w**3 - 134*w**2 - 5*w + 5. Let o(g) = 5*g**3 - 68*g**2 - 3*g + 3. Give -3*l(y) + 5*o(y).\nAnswer: -2*y**3 + 62*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 14\/28*0\/(-1 + 3). Let t be 10 - (-6 - -12)*(r + 1). Solve -t*o = -16 - 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 376068*x**4 - 2*x**3 - 317138*x**2 + x + 2 wrt x?\nAnswer: 9025632*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*v**2 + v - v + (0*v**2 - 4*v**2 + v**2)*(-6 - 4 - 10) + (44 + 15*v - 44)*(-v + 0*v - v) in the form g*v + l + w*v**2 and give w.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11538 is divided by 5236.\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2340 - 2573 + 18*k**3 - 17*k**3.\nAnswer: k**3 - 233","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 6) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, p: 1, v: 1, y: 12}. Give prob of picking 1 y and 1 v.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is (-22599033)\/(-1608) - (-2 + (-17)\/(-8)) a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*p - 5*g = -28*p + 3798, -3*p + 11466 = 3*g. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the first derivative of 7*a**6\/9 - 71*a**5\/30 - 41*a**4\/6 - 11*a**3\/18 + 23*a**2\/6 - 4*a\/3 + 80. Solve c(p) = 0 for p.\nAnswer: -1, 1\/4, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (192\/1680)\/(-1 + (-39)\/(-21)). Which is the biggest value?  (a) 0.4  (b) v  (c) -279\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1670284 by -68.\nAnswer: 24563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/2420 and -25\/6952?\nAnswer: 382360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.2, 1\/146, -0.4, -1?\nAnswer: 1\/146","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x = -5*h + 6*x - 13, 0 = -h - x - 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -882*a - 896.\nAnswer: -882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -32 less than -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 3655 (base 7) to base 3\nAnswer: 1212111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -2*h**2 + 21*h - 23. Let a be o(9). Suppose -132 - 132 = -a*x. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 49 + -34. What is the remainder when f is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17313 is divided by 5239?\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -66*q - 2. Let b(k) = -k. Determine b(w(m)).\nAnswer: 66*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is z in 677*z**5\/4 + 31143*z**4\/4 + 439419*z**3\/4 + 1869169*z**2\/4 + 609990*z + 900 = 0?\nAnswer: -20, -3, -1\/677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (28\/21*1)\/2. Put l, -1, 6, -2 in increasing order.\nAnswer: -2, -1, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -2*c**3 - 4*c**2 - c + 2. Suppose 1 - 5 = 2*y. Let d be l(y). Suppose -p = -d*p + 12. Solve -6*m + 2*m - 3*z - 13 = 0, p*m + 7 = -z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2232.29061 take away 0.20527?\nAnswer: 2232.08534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1031*c*n + 2599*n wrt c?\nAnswer: 1031*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1372*t + 26716 = -26792 for t.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-126)\/(-1617)*451\/(-164).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 73043350?\nAnswer: 2, 5, 1460867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9*3\/(-6)*(-4)\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y**2 - y**2 - 3*y**2)*(34 - 2 - 9).\nAnswer: -69*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 559 divide 14561183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1008 - 1005. Is a less than or equal to 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*m*w*x + 200*m*x - 2*m - 2026*w*x - 4 with respect to w.\nAnswer: -2*m*x - 2026*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 348*n - 326*n - 463342 = 0. What are the prime factors of n?\nAnswer: 21061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1461050597\/15471418 + -4\/249539. Let k = -126\/31 + a. Let v = 1637\/18 + k. Calculate the common denominator of v and 9\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6405826333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1297\/4495 or 0?\nAnswer: -1297\/4495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-24)\/(-10)*120\/36. Find the first derivative of 15*p + 78*p + 36 - r*p wrt p.\nAnswer: 85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 15, x: 3}. What is prob of picking 3 q?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17893*i - 17812*i + 3645 = 0 for i.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes before 3:44 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 53087366 a multiple of 1156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 4 = g, 11 + 1 = 3*g - 2*a. Let p(x) = -x**2 + 7*x - 9. Let s(c) = 2*c**2 - 14*c + 19. Let w(h) = g*s(h) + 9*p(h). Determine w(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -b60 + -1?\nAnswer: -b61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2255 - -2324. Calculate the remainder when g is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:28 PM and 5:37 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g = -39 - 31. Let a(f) = -f**3 + 13*f**2 - 13*f - 4. Is 8 a factor of a(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -347*t**2 - 47*t - 155*t**2 - 97*t**2 + 47*t.\nAnswer: -599*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/12)\/(405\/(-17820))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1910491 is divided by 18195.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b - 4. Let u be j(3). Let a = 1 + u. Suppose -4*s + 8 + a = 0. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 887?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21 divided by 19485275.\nAnswer: 21\/19485275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*5*-4*((sqrt(475) + -3*sqrt(475))*-4 + -2 + 4))**2.\nAnswer: 576000*sqrt(19) + 109454400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.00497 and -2?\nAnswer: 0.00994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -93.5886 to one dp.\nAnswer: -93.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -55019*p**3 - 25681*p**2 wrt p.\nAnswer: -330114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((-3*sqrt(2736) - (0 + (sqrt(19) - sqrt(95)\/sqrt(5)))) + (-1 + sqrt(1539) + 2)*4)**2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(((sqrt(147) + 1 + sqrt(147))**2*3 - ((2 + sqrt(147))**2 + sqrt(147) + -1)) + -3) + 0.\nAnswer: -1614 - 49*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 67201 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -z**3 - 2*z - 4*z + 2*z**3 + 2*z in the form n*z**2 + d*z**3 + k + i*z and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*t**2 + 86*t**3 + 34*t**2 - 13*t**2 - 85*t**3 - 11*t**2.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -2058 divided by -147\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 443680 and 32096.\nAnswer: 1888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1000001 + 12220221?\nAnswer: 20220222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 2*b - 1. Let r be n(1). Suppose 0 = -d + 7. Let y = r + d. What is the highest common factor of 16 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 40 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k - 4*n + 7*n + 3 = 0, 2*n = -3*k - 19 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -19 + 24. Let v be 1\/(3 + q\/(-2)). Suppose v*j + 111 = 5*j. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5e0716 (base 16) to base 14\nAnswer: -b659b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 117.99804 - 118. What is z rounded to 4 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -6*k**2 - 5*k + 2. Let w(d) = 3*d**2 + 2*d - 1. Give 5*w(v) + 2*z(v).\nAnswer: 3*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 7 - 1 = -r, -2 = -3*a + 2*r. Suppose 4*l - 65 = -5*h, -a*l = -2*h - 2*h. Calculate the greatest common factor of l and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5819*l + 2*l**2 - 3*l**2 - 5819*l - 494 to q*l**2 + f + b*l and give f.\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 8*g**3 + 2*g**2 - 2. Let m(b) = 24*b**3 + 7*b**2 - 7. What is 4*m(a) - 14*o(a)?\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 17*l**2 - 3 - 7*l**3 - 19*l**3 + 8317*l**4 - 129*l + 35*l**3 - 9*l**3 wrt l?\nAnswer: 199608*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-18)\/(-24)*-1)\/((-6)\/(-2))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-116055)\/45)\/((-1)\/5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.210648572 rounded to 5 decimal places?\nAnswer: 0.21065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -15, 3, 13\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j**2 - j + 1. Suppose -2*d + 12 = 2*l + 3*l, -3*d - 7 = -5*l. Let o be h(l). Let b = -1.3 - 1.7. What is the nearest to 3 in b, 0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.3333 less than or equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -5, -7, -9, -11, -13?\n\"Answer: -2*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/30 - (-23639)\/105. Suppose m = 9*h - 4*h. Let p be (-15)\/18*(-18)\/h. What is the second smallest value in 5, 4\/5, p?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -8*z**2 + 3*z - 6. Let g(o) = 8 - 21*o + 15*o + 3 + 15*o**2. Determine -6*g(x) - 11*j(x).\nAnswer: -2*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 48 and 588.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6714 is divided by 3353.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -126 - -131. Let q(u) = -u. Let d(z) = 9*z**2 - 10*z + 11. Let k(v) = -5*v**2 + 5*v - 6. Let r(a) = 6*d(a) + 11*k(a). Calculate y*q(s) - r(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 4*n = -14, -2*h - 2*n + 4 = -2. Solve -5*v = 4*l, h*v = -2*v - 4*l for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -30*u + 1117. Determine z(5).\nAnswer: 967","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/21)\/(5*10\/4900*6)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 110513 is divided by 55237?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*z - z + z + (-z - 3 + 3)*(0 + 0 + 2) - z - 3*z + 2 + 6*z.\nAnswer: 6*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o**2 + 11*o - 485. Let f be k(-28). Sort f, -6, 3.\nAnswer: f, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/(-7) - (-662)\/(-14). Let t(j) = -3*j + 6. Let s be t(12). Let i = s - v. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -5439\nAnswer: 4\/5439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16025?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -53 + (67 - (-18 + 14))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 1784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 8649.379 kilograms?\nAnswer: 8649379000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5348  (b) -15  (c) -1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2348350 is divided by 1296.\nAnswer: 1294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2788 and 5534?\nAnswer: 1542.8792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1436996 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z + 10. Let s be x(-5). Suppose -s + 3 = -q. Put q, 5, 1 in ascending order.\nAnswer: 1, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3053*w - 100327 + 100327)*(0 - 3 + 5)*(-w**3 - w**3 + w**3).\nAnswer: 6106*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 0.07, -36, 3 in ascending order.\nAnswer: -36, -3, 0.07, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oovg when four letters picked without replacement from oooogvogvoooogo.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/187 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -671, 4, -402421.\nAnswer: -402421, -671, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 5, 1, 63, -1 in decreasing order.\nAnswer: 63, 5, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 31 - 29. Let j = 0.38 + 0.02. Which is the third smallest value?  (a) j  (b) 5  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (-12 - -8 - -8) - (4 - 17)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or -777?\nAnswer: -777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4 or 14\/61?\nAnswer: 14\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/2411 equal to -421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 20.9 + -20. Let i = w - 0.5. Let q = -2.92088 - 3.07912. Which is the smallest value?  (a) i  (b) 2\/3  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.13?  (a) 23  (b) 0.1  (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(4*-1*sqrt(2016))\/(-5*sqrt(252)\/sqrt(9)).\nAnswer: 144*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3727.009 millilitres to litres.\nAnswer: 3.727009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1860, -3720, -5578, -7434, -9288, -11140?\nAnswer: -12990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5999845 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 419509?\nAnswer: 17, 24677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2056 + 8068 = 203*r - 5101 for r.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -41, -22, -3, -1 in descending order.\nAnswer: 1, -1, -3, -22, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -405*x. Let f(w) = 13*w. Let h be 20\/(-2) + 5 + 68. Let d(n) = h*f(n) + 2*g(n). Let u(z) = -z. What is u(d(q))?\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 424, 621, 824, 1033, 1248?\nAnswer: 1469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(1 + 0 + (sqrt(6)\/sqrt(2))**2 - (-1 + (sqrt(3) - (sqrt(15)\/sqrt(5) + -3))**2)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 398, -0.1, -0.2, -1571 in descending order.\nAnswer: 398, -0.1, -0.2, -1571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 128\/21  (b) 2  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/180)\/(((-57)\/(-18))\/19)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -381*x + 57924 - 84213 = 0 for x.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 18 divided by -6907\nAnswer: -18\/6907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 173*j - 70 = 168*j. What is the units digit of (-60)\/210 + 1922\/j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2209 - -3840. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-30))\/(2*9\/(-162))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 divided by -187677.\nAnswer: -10\/187677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 8470, 33855, 76158, 135373, 211494?\n\"Answer: -t**3 + 8465*t**2 - 3*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/945608 and 11\/19148562.\nAnswer: 76594248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -42*i**2. Let u(l) = -9*l + 5*l + 4*l - 3*l. What is u(s(m))?\nAnswer: 126*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2863 - -3463. What is the remainder when 3011 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 1, 0, 883, 4, -3.\nAnswer: -6, -3, 0, 1, 4, 883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 13 + -20.19. What is a rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 983899 is divided by 503?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 158168 is divided by 278.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 158 = 5*x - 2*r - 0*r, 0 = -3*x + r + 94. Let m be x\/8 + 1\/4. Suppose -u - k = -0*k - 38, -m*k = 5*u - 185. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22*a - 2 + 2*a**3 - a**4 - 3*a**3 + 23*a to the form o + p*a**3 + x*a**2 + s*a + d*a**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 9241897 equal to 9241907?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.22 - 0.89\nAnswer: -0.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*x + 4*j, 28 = -x + 4*j + j - 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*z + 3*z = -64. Suppose n = -5*h - 11 + 4, -n = h - 1. Suppose -z*t - n = -11. Solve 0 = 2*s + t*b - 0*b + 4, 4*s - 2*b + 8 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 207 = 68*k - 65. Which is the closest to 3\/4?  (a) -1  (b) -0.072  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 4*t**2 - 70*t + 115. What is the hundreds digit of b(30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -16*z + z**4 + 0*z**4 - 68*z - 3*z**4 + 12*z**4 - 2*z**4 + (2 - 2 + z)*(2*z**3 - 6*z**3 + 2*z**3) + 17*z**3 + z**4 - 17*z**3 - 3.\nAnswer: 7*z**4 - 84*z - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-1)*m)\/(m**(-12)\/m*m)*((m\/((m\/((m*m*m**10)\/m)*m)\/m))\/m)\/(m\/((m*m**(-1\/2))\/m)) assuming m is positive.\nAnswer: m**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -4*v + 14. Let g be b(4). Let i(l) = 4*l**2 - 7. Let j = -13 + 8. Let r(a) = -2*a**2 + 3. Calculate g*i(n) + j*r(n).\nAnswer: 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.09 and 0.7?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -95.8 - -96. Let q = -2\/409 + -800\/3681. What is the third smallest value in -4, d, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 50636556.\nAnswer: -5\/50636556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1660346*s + 2621755?\nAnswer: -1660346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5484817 tonnes in grams?\nAnswer: 548481.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(6*sqrt(1536))\/((sqrt(16)*2)\/sqrt(2))*-2*4.\nAnswer: -192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 304904028 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4285?\nAnswer: 5, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 6 - 7)*(1 + 0 - 3)*(-4*r + 5 - 5) to h + t*r and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 707466 to the nearest 10000.\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*i**2 + 687 - 1383 + 0*i**3 + 696 + 59*i**4 + i**3 in the form y*i + n + s*i**2 + a*i**3 + k*i**4 and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 140741431321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3 + 90\/33 + -5. Which is smaller: t or 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 31624610 - 45630286. Let m = 14005703.000089 + u. Let x = 27 - m. Round x to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 - 1)*(2*p - 3*p + 0*p)*(-1 + 6 + 7).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -413838, -413841, -413844, -413847, -413850?\n\"Answer: -3*u - 413835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-90)\/36)\/(1\/(-6)). Let f be ((-55)\/q)\/(10\/(-180)). Which is the second biggest value?  (a) f  (b) -1\/4  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:25 AM and 8:57 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-369)\/3016 + (-36)\/(-288))\/(76\/988).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -2 + (-2 - -8 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 0*o + 4*o + 0*o + 48 + 3*o. Suppose 13*q - 417 = -261. List the prime factors of x(q).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2387, 2732, 3077, 3422?\nAnswer: 3767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 19857039 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -6 + -1 - ((7 - 12) + 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u - 2*v + 2, -4*v = -5*v + 1. Suppose 703 = 5*x + 5*k + 273, -4*x - 3*k + 349 = u. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8165 divided by -1?\nAnswer: 8165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hvvhhuxvxxhtxxh. What is prob of picking 1 v and 1 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -363*d = -188*d + 525. Let j(n) be the first derivative of 5*n**3\/3 - n**2 + 6*n - 13. Let t(g) = -5*g**2 + 2*g - 5. Determine d*j(u) - 4*t(u).\nAnswer: 5*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6949 is divided by -3 + (7\/28 - (-594)\/24).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-33)\/((-2475)\/4))\/((-3)\/(9\/(-4)))?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*i**4 - 2445*i**3 + 14490*i**2.\nAnswer: 5*i**2*(i - 483)*(i - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72 - 99 = -9*l. Suppose -l*t + 707 = 5*o, -5*t + 3*t - 2*o + 478 = 0. Does 32 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.13?  (a) 4  (b) 25  (c) 4\/5  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 328.9303 grams in milligrams?\nAnswer: 328930.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, -1, -4, 71 in descending order.\nAnswer: 71, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 3, -5, 0.2, -13\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 98*p + 198 = 38*p - 39*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1846 - 1857.32. What is i rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/37*14544\/8484*7\/18.\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the third derivative of w**4\/6 + 8*w**3\/3 - 6*w**2. Let o(d) = 28 - 8 + 3*d - 8 - 1. Let j(l) = 77*l + 611. Let s be j(-8). What is s*m(n) + 7*o(n)?\nAnswer: n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 5 - (1 - (-2 - -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -84 + 857*z**4 - 321 + 77 wrt z.\nAnswer: 3428*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 239\/3 + (-1)\/(-3). Let o = -53 + t. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmmmbhmbmbmmwbmwwm. Give prob of picking 1 w and 2 m.\nAnswer: 45\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -54 + (9 - -7) + -22 + (-9 - -24)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4920, 4857, 4766, 4659, 4548, 4445?\nAnswer: 4362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the third derivative of -2\/15*z**5 + 0*z**4 + 0*z**3 + 9*z**2 + 1\/10*z**6 + 0 + 0*z. What is the third derivative of w(d) wrt d?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 5*n - 10 = 0, 5*n = -3*i - 0*i + 40. Let v = -85 + 86. Calculate the lowest common multiple of i and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 4, -0.1, -2\/37, -1?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 11146903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 55174 and 1176?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 5791726096?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -2*c**3\/9 - 860*c**2\/3 - 1718*c\/3 - 2576\/9 = 0.\nAnswer: -1288, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8 - 3. Let a(g) = 5*g**2 + 3*g**2 + 13*g + 4*g**2 + 16 - 11*g**2. Let c be a(s). Is c greater than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 290 greater than 2040\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 3 s when four letters picked without replacement from sscfgsffsrsggsr?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20070 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -157\/605280 and 61\/672?\nAnswer: 4236960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c - 0*p + p - 9, -3*c = -p + 14. Let q be -2 - -1*((-42)\/c)\/6. What is the nearest to -2\/5 in 0.2, q, -8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -2*b - 29. What is u(7)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3e + ac?\nAnswer: eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 77372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -3*g + 68. Let z be n(15). Solve 0*a + 5 = 4*a - h, 4*a - z = -5*h for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -447 + 442. Let x be ((-2)\/8 + 18\/8)\/l. Let m = -36 + 16. What is the closest to x in 0.1, 2\/11, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1146 is divided by 564?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:35 AM and 3:35 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 3.5*-3\nAnswer: -10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -1302650121 at least as big as -1302650121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f**4 + 2210*f**3 - 405527*f**2 - 547596*f + 544644 = 0. Calculate f.\nAnswer: -2, 2\/3, 369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 24.911ug in tonnes?\nAnswer: 0.000000000024911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*h - 48*h - 5*p - 187 = 0, 7*h + 8*p = -259 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -7.177, -1, 42, -2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2124676 is divided by 7202.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63*u = -5*a + 67*u + 98, -109*u - 48 = -105*u. Let i be ((-6)\/2)\/(-3 + 2). Suppose 31 = i*r - 71. What is the lowest common multiple of r and a?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:52 AM and 3:18 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 100 = -2*n. Let b be 8\/90*n\/8. Determine i, given that 0 + 0*i - 4\/9*i**3 - b*i**2 - 2\/9*i**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes after 1:37 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -264 divided by 2?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 36223682 to the power of 1\/2, to the nearest integer?\nAnswer: 6019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 700496 + 0.4.\nAnswer: 700496.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 75766 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25\/(16250\/60)*80\/16?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(459))\/(sqrt(3) + (sqrt(96)\/sqrt(2) - sqrt(3))).\nAnswer: 9*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11711 by 1229.\nAnswer: -11711\/1229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 52918, 211690, 476310, 846778, 1323094?\n\"Answer: 52924*c**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -112, -115, -118, -121, -124, -127?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**2 - 2*q + 5. What is the least common multiple of d(0) and 13?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/4969947 and 121\/12.\nAnswer: 19879788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**3 + 471*w**2 - 22879*w. Calculate b(55).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o = 9*o - 2*u - 61, -5*o - 16373*u = -16369*u + 77 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the second derivative of 39\/35*q**7 - 2\/5*q**3 - 189\/100*q**5 - 5*q + 0*q**2 - 5 - 1\/2*q**6 + 9\/5*q**4. Solve b(u) = 0 for u.\nAnswer: -1, 0, 2\/13, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*f**3 + f**3 - f**3)*(-13*f**2 - 34*f**2 + 93*f**2 + 2*f).\nAnswer: -184*f**5 - 8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4639504?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 5*x = 115603 + 3219, 0 = -2*i + 3*x + 79214. What is the ten thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7 + 2 - 145*w - 10 + 2 to the form z*w + p and give z.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5015 and 170.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-44)\/(-20) + 1\/(-5). Let q(c) = -4*c + 3*c + 2*c**n - 4*c + 4*c + 1. Does 16 divide q(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 2*l = 2*g + 54, 2*g - 36 = 4*l. Put l, -2, -5, 3 in descending order.\nAnswer: 3, -2, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0 + 1 + (5 - -3 - 5). Suppose i*d - 4*f = 172, -3*d - d + f = -166. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:25 PM and 1:19 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 114.37 - -1738.528512.\nAnswer: 1852.898512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 16 + 42. Let d = 34 + k. Suppose 4*o + j - d = 0, 0 = 4*o + 3*j + 13 - 113. Calculate the remainder when o is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1463 and 319081.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.1 + 1. Let j = -171 - -161. Which is greater: p or j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2.7 and -286221.\nAnswer: -772796.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.9172533cm?\nAnswer: 9172.533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.035?  (a) -0.5  (b) 0.5  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 2 e when four letters picked without replacement from cfceef?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-5*n + 2*n + n)*(-1 + 2 + 2) + 2*n + n - 5*n)*(-2*n**4 - 1 + 1).\nAnswer: 16*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -48, -5, 10, 1 in decreasing order.\nAnswer: 10, 1, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**7\/f)\/(f\/(f**9\/f)))\/(f**(-1\/6)\/(f*(f\/((f*f**(-3))\/f))\/f))*f**(2\/5)\/(f\/f**(-1\/3)*f)*(f\/(f**2\/f))**(-1\/25) assuming f is positive.\nAnswer: f**(457\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - 1) + (4 - 5) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 70 divide 620086180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -5, 3, 122, -20 in descending order.\nAnswer: 122, 3, -2, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 - 6. Let o(f) = 10*f**2 - 5*f**p - f**3 + 1 + 0*f**3 - f - 3. Let l be o(4). Calculate the highest common factor of l and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s - 1. Let g be l(2). Let j be (-3)\/(g*9\/(-60)). Solve -5*q = -0*q + j for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17382, 17376, 17372, 17370, 17370, 17372, 17376?\nAnswer: 17382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (870\/(-80)*(-12)\/9)\/((-99)\/396).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r - 5 = r. Suppose -5*v - 8 = -13, 0 = -2*m + 2*v - 14. Put -3, r, m in descending order.\nAnswer: -3, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1309183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:50 PM and 5:01 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 + 0 - (-2 - 24 - -14).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l + 1737 + 2858. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -58 - -99. Let h = 113 - s. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bohhoihioboho. What is prob of sequence iibh?\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 + 3. Let m = p + 3.5. Let b = m - 5. What is b rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/(0 - 5\/20). Suppose -y = 4*r - 194, a*r + 224 = 4*y - 632. What is the highest common divisor of 35 and y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*f**6 + 433*f**3 - 948*f**2 wrt f.\nAnswer: -240*f**3 + 2598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + -1 + 1145\/(-150) - 12\/10?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8862237 a multiple of 2571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -223*w + 21674 = -4863. Calculate the lowest common multiple of w and 28.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 10 + 4 = 0. Sort -1, z, 0 in descending order.\nAnswer: 0, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a - 4*y - 25, 4*a - y - 20 = -4*y. Let z = -8 + 13. Suppose 2*r = -g - r + z, -a*g + 82 = -4*r. Solve 5 - g = -3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 25.4  (b) 0.2  (c) 0.4  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 2, 0, 4.1, -5\/4, 55?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 282543462 to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 5, v: 6, n: 5, a: 1}. What is prob of sequence vna?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 10*g**4 + 4*g**3 + 14*g**2 + 11*g + 9. Let a(c) = c**4 + c**2 + c + 1. Let b(x) = -18*a(x) + 2*w(x). Find l, given that b(l) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -753960000 rounded to the nearest 1000000?\nAnswer: -754000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -23 - -185\/8. Suppose 3*f = -0*f + 3. What is the closest to f in -10, i, -1\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 14 = -2. Suppose 25*q + 201 = 273 + 228. Put s, 0, q, -1 in descending order.\nAnswer: q, 0, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -g**2 + 2 + 12*g**3 - 42*g**3 + 14*g**3 + 29*g**3 + g - g**4 as z*g + k + f*g**4 + i*g**3 + r*g**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -211*s**3 + 293*s**3 + 302*s**3 + 158*s**3 - 84*s**3.\nAnswer: 458*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3748 - 3680. Solve 8*k = 84 - n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -419.\nAnswer: 5\/419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.0984 - 482.0984. Let a = -484.088 - n. Let r = a - -0.088. Put 4, -1\/4, r, 1\/4 in ascending order.\nAnswer: r, -1\/4, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-30)\/(-2))\/(-5) + -14. Let f(k) = -k**3 - 15*k**2 + 9*k - 6. What is the tens digit of f(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -93 + 14 - 7*v**3 - 81 - 143*v - 197*v - 3*v**3 + 5*v**4 - 195*v**2 = 0. Calculate v.\nAnswer: -4, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes after 5:43 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0027 + -85540490.1021.\nAnswer: -85540490.1048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -326*n = -342*n + 12496. Calculate the remainder when n is divided by 259.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iob when three letters picked without replacement from {g: 1, o: 1, x: 2, i: 1, b: 1, w: 2}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11 and (-2)\/6*(4 - 1174)\/10?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -68.74212 - 1.22488. Let h = -70 - o. Let d = 0.059 - h. What is d rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(54)\/sqrt(3))**2 + 0)*-4 + -2.\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**2 + 9*x - 11. Let t be l(6). Suppose 0 = 7*a - 8*a + t. Let s be (a + -7)\/(2 + 0). What is the closest to s in -4, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 131\/114 and 12\/19?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1  (b) -11  (c) 284\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -489796, -489795, -489794, -489793?\nAnswer: -489792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (((-184)\/1012)\/((-12)\/22))\/(1\/3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*l**3 + 27 - 4 + 10193*l**4 - 6*l - 10191*l**4 to the form w*l**4 + h*l + m*l**3 + f + o*l**2 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 88\/(-44)*(-80813)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from esssssfssssfefs. What is prob of picking 1 f and 1 s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 335149.1 millennia to decades.\nAnswer: 33514910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-5)\/(-5)*0*(-1 + 0). Suppose d = 5*l + h - 5, -4*h + 1 = -4*l + 29. Solve -l*a - 1 = -5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 9*p - 4*p + 544 = 0, -5*a = 5*p - 2630. Is 40 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/28)\/((-26)\/(-546))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00161986 rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve q + 4593*h - 20 = 4595*h, -59 = 2*q + 5*h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -49a (base 13) to base 10\nAnswer: -803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, -0.102, 37.81.\nAnswer: -9, -0.102, 37.81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((13\/6)\/((-104988)\/6057))\/(2\/(-928))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j - 5. What is i(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -a48b0b7 - 13?\nAnswer: -a48b0ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 175099.892 to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 141821 and 1924370?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**2 - 2*c - 1. Let f be l(-1). Suppose -f*v + 2*p = -p, -v - 5 = -4*p. Solve v*g - 2*j + 13 = 0, 5*g + 14 - 4 = j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k - 9*k = 4*k. Suppose k = 34*j - 32*j - 126. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*l - 38 = 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**2 - 43*a + 361. What is the remainder when 12715 is divided by c(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*o + 1 + 16*o**2 - 4 - 18*o**2 + 5*o**3 - 4*o**3 - 10*o to z*o + n*o**2 + d*o**3 + p and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.04 - -2.04. Let j be (-4)\/3*4\/(-24). Let v = 6.97 - 7.07. What is the closest to v in j, h, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*q + 54944 = -103891. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 20 + -11. Suppose 0 = -i*m + 4*m. Solve m*v = 5*v - k - 9, -k = 2*v - 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-35)\/98)\/(16\/224))\/((-9)\/3)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1057.07 - 1057. What is the third smallest value in -7, o, 1, -1\/8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6263492751 to the nearest integer?\nAnswer: 79142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3615 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, w: 6, l: 2, n: 1, q: 5}. Give prob of sequence wl.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = 5 + 7, 35 = 4*a - 5*l. Suppose o + 2*g - 362 = -4*o, -293 = -4*o - a*g. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -96 + 95.37. What is l rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 672 - -7\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 3 + 2 + -5 - (15 + -4)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1803 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**2 + 8*k - 12. Let t be p(3). Suppose 2*g + 0*q - 47 = -5*q, -3*q + 48 = t*g. Suppose -11659 - 2190 = -g*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1637 is divided by 149.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 81 and 3969.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:52 AM and 3:16 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**2 - 5*h + 3. Suppose 0*z = -3*z - 18. Let d be t(z). Let b(a) = -a**3 - 1. What is the units digit of b(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -4390?\nAnswer: -1\/2195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (14*(-65)\/(-637))\/(-6*-5*(-4)\/40).\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2*6\/12*((-16)\/20)\/(-1)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 2*o**3 - 7*o**2 + 4*o - 1. Let w(r) = -2*r - 11. Let m be w(-7). Calculate the smallest common multiple of f(m) and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36799?\nAnswer: 7, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:41 AM and 4:52 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the second derivative of 2*x**7\/105 + x**3\/2 - 4*x**2 - x. Let v(l) be the first derivative of w(l). Find the first derivative of v(p) wrt p.\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the second derivative of -5*s**3\/6 - 15*s. Let c(m) be the third derivative of m**5\/12 + 2*m**2. Calculate c(f(l)).\nAnswer: 125*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-29)\/(-35) - 9774\/22806.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*((-468)\/(-126))\/(-4*3\/(-42))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 124*x - 328 + 6 = 670. Calculate the highest common factor of x and 10456.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27279 divided by 9?\nAnswer: 3031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.636 - -1.79. Let f = g - 0.15. Round f to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0, -22 in decreasing order.\nAnswer: 0, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y + c - 138 + 4, -5*c + 142 = 4*y. Calculate the remainder when y\/55 + (-344)\/(-10) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27 - 1 = 12*d - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n + n - 3*n)*(-49*n - 273*n - 147*n)*(3 - 1 - 3).\nAnswer: -938*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, a: 1, s: 2}. Give prob of picking 1 n, 1 s, and 1 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-12)*s)\/s*((s\/s**(14\/9))\/s)\/s)**(-14) assuming s is positive.\nAnswer: s**(1834\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 256223393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -32309 rounded to the nearest one thousand?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 22, 51, 88, 133, 186?\n\"Answer: 4*s**2 + 17*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the second derivative of -2*u**3\/3 + 4*u. Let y(l) = -l + 2. Let c be y(-3). Let p(r) = -r + c*r - r. What is 5*m(x) + 6*p(x)?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -461, 3\/10, 2\/7, 1 in decreasing order.\nAnswer: 1, 3\/10, 2\/7, -461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 18669 - 4119. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 594 and 10762389?\nAnswer: 21524778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -471, -941, -1411?\n\"Answer: -470*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1133572*h**3*r - 1581*h**3 + 248*h wrt r?\nAnswer: 1133572*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) - ((sqrt(28)\/sqrt(2) - sqrt(14))\/sqrt(2) + sqrt(7)) - (3 + sqrt(28))) + (5 + -5 + sqrt(28)\/sqrt(4))**2.\nAnswer: -2*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**3 - d**2 - d + 4. Let q be p(0). Let b(a) be the third derivative of 0*a - 5\/24*a**4 + 1\/60*a**5 + 3*a**2 + a**3 + 0. Determine b(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d and 1 s when four letters picked without replacement from dsssdssdsss.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add -1.842057 and -833.\nAnswer: -834.842057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 - -3. Put z, 2, -2 in ascending order.\nAnswer: -2, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 2*z. Let x(b) be the first derivative of b**2\/2 + 7. Give x(q(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3\/10 or 60\/88001?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -46020 + 46020 + w + 0*w. Let s(l) = 811*l**2. Determine f(s(b)).\nAnswer: 811*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -8*g**2 - g - 1. Let v be s(-1). Let c(f) = -3*f - 1. Is c(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 2*o + 370 = 0, -5*o + 445 = 5*p - 6*o. Suppose p = 8*u + 10. Suppose 5*h + 10 = 0, 0*n - 5*n - 3*h = -69. Solve 5*j + u + n = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 52*(-9)\/(-36)*-2*2\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -11\/9 in 43, -5, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in four fifteenths of a week?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f**5 - 8*f**4 - 30*f**3 + 116*f**2 - 80*f = 0.\nAnswer: -4, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4711 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*o**2 + 8*o**2 + 28*o**2 - o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vwcccwwww. Give prob of picking 1 w and 2 c.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -83, -169, -281, -425, -607, -833?\n\"Answer: -n**3 - 7*n**2 - 58*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 875948.\nAnswer: 2, 218987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 306*l - 29. Let j(s) = 204*s - 18. What is 8*j(f) - 5*m(f)?\nAnswer: 102*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -2322008.145 to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.4 - -0.5. Let f = -4 - -4.2. What is the nearest to i in -0.2, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (39\/52)\/(2\/4). Which is the closest to 0.06?  (a) 0  (b) -1\/6  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in twelve sevenths of a week?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -37884000 divided by -36960.\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 o, and 1 c when three letters picked without replacement from {y: 1, p: 1, o: 1, c: 2, k: 2, e: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**3 + 18*l**2 + 45*l + 84. Determine g(-15).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 26 = 4*z - 0, 2 = 2*z. Let b = -110 + 168. Suppose -2*l = -b + x. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19687 = 19781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s, 8*x - 14*x + 12765 = -x + s. Is x a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 51 + -51. Let z(g) = g**3 + 3*g**2 + 4*g + 3. Let p be z(-2). Which is bigger: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 133*j**2 - 57*j + 121. Let c be d(2). What is the highest common factor of c and 308?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 4*w + 1225 = -3022, 3*w + 4282 = s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8 + -4. Let g be 32*((-2)\/6)\/((-10)\/(-120)). Let y be 5\/2 + 224\/g. Which is the second smallest value?  (a) w  (b) y  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 50074977*b + 186691888 wrt b.\nAnswer: 50074977","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*u - 70 = -d + 5*d + 31 - 191 + 7, 0 = 4*u - 5*d + 55 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*z + 163 = -17*z. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2264.0000007167 + 2264. What is b rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**2 - 7*w + 14. Let v be x(-8). Let z = v + 1. Let d = -8 - -12. What is the remainder when z is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 169651414 to the power of 1\/4, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6\/(-7) - (25820\/(-70) - 13). Solve -13*k - y = -316 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2 + -5 + 18 + -5. Suppose -18 + 48 = -p*y. Let m(i) = -i**2 - 3*i + 6. Calculate m(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 155\/713*4\/(-10). Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13149 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Are 68240 and 68264 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -164*q + 172*q - 246 = -2*b + 5*b, 4*q + 9*b = 102 for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = 8 + 17. Suppose 3*s + 16 = d*s. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1379 and 1773.\nAnswer: 12411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from chchhhhccchhhhhhch.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = l - 40. Let c be 2\/(-1)*(-5)\/l. Let s(i) = 8*i**3 - 2*i**2 + 1. Give s(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + 7*k - 4*k = -9, -f = 2*k + 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -346117.7 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u*u**(2\/7))*u**(-2\/11)*(u**2*u)**(-10))\/((u**(-1)\/u)**(-6)\/((u\/u**6)\/(u\/(u*(u*(u**8\/u)\/u*u)\/u)))) assuming u is positive.\nAnswer: u**(-3116\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 23 + -13. Suppose -x - x = -r. Let v be ((-6)\/4)\/(-3)*2. Put x, v, 4 in increasing order.\nAnswer: v, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -9*a**3 + 5*a**2 + 5*a - 7. Let u(y) = 4*y**3 - 3*y**2 - 3*y + 4. Calculate 3*t(z) + 5*u(z).\nAnswer: -7*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z\/z**(2\/5)*z**(-3)*z**(-2\/3)*z*z*(z**(-3\/10)\/z*z)\/z)\/(z*z**2*z\/z**(-2\/5))**(5\/12) assuming z is positive.\nAnswer: z**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 18859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/(s\/(s*s\/(s\/(s*s**(2\/3)))*s*s)*s))\/s*s)**(-34\/9)\/(s**0)**(-5\/9))\/((s\/s**(-2\/5)*s)**(3\/25))**10 assuming s is positive.\nAnswer: s**(-11294\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 35*w - 12310 + 11050 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6 - 71 - 38)*(4 + 1 + 3 - 13 - 4 - 3*z) to the form l + u*z and give u.\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 17 = 4*m, 0 = -m - 3*m + 5*j - 7. Let t(b) = b**2 + 3. Let o be t(-4). Let q = 15 - o. Do q and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the second derivative of -31*f**5\/20 + 67*f**3\/6 - 8*f - 2. Find the second derivative of n(s) wrt s.\nAnswer: -186*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**2 + 14*x + 1. Is n(7) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rmjrrrjjbjrrrljjj. What is prob of sequence jj?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25402 is divided by 5076?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*f**5*p - 57*f**2*p**3 - 281*f*p**3 wrt f.\nAnswer: 140*f**3*p - 114*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 4*x. Let k be (3*-2)\/(-8 - -10). Let l be o(k). Let w be l\/(-4) - (1 - -2300002). What is w rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -395 + 1189\/3. Let u(a) be the first derivative of 0*a**2 + 0*a + g*a**3 + 5. Let c(r) = r**2. Determine c(u(q)).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -19 - -25. Let m(s) = s**3 - s**2 - 7*s + 2. Let n be m(a). Let q be (n\/(-6))\/(-7)*9390. What is q rounded to the nearest one thousand?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 3*k + 12223 = -2*k, 0 = -3*k - 12. Find the second derivative of -g*h**2 + 12227*h**2 - 33*h - 18*h**4 wrt h.\nAnswer: -216*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(2\/25)*j**1 assuming j is positive.\nAnswer: j**(27\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:46 PM and 1:31 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -67 + 63. Is (9\/(-2) - c)*-578 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -4*l - 7. Let c(k) = -29*k - 10. Let d(u) = 25*u + 11. Let o(g) = 23*g - 234. Let i be o(10). Let s(m) = i*c(m) - 5*d(m). Give 13*p(z) - 6*s(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the first derivative of -u**3 - 9*u**2 - 21*u + 16. Let w(k) = k**2 + k + 1. Let m(a) = q(a) + 18*w(a). Find the first derivative of m(h) wrt h.\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2310 or 36183?\nAnswer: 36183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2432) - (sqrt(2432) + 5*sqrt(2432)*-2 + sqrt(2432)))\/((sqrt(8) + sqrt(16)\/sqrt(2) + sqrt(8))\/sqrt(4) - sqrt(242)*1) + -5.\nAnswer: -9*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3789 - 13*n**2 + 799 + 8*n**2 - 9*n**2.\nAnswer: -14*n**2 - 2990","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 92 and 27664561?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 54*h**3 + 5*h**2 - 12*h - 4. What is the units digit of u(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tg when two letters picked without replacement from gttggt?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-41)\/(-492)*8\/(-3)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (4\/(-16))\/(1\/(-8)). Solve -7 = -2*z + j, 0 = 4*z + j + d*j - 29 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 106 + -88.2. Let t = -18.574 + x. What is t rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Determine c so that 0 + 1\/5*c**5 - 1\/5*c**3 + 0*c**2 + 0*c**4 + 0*c = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that x**4\/4 - 15*x**3\/2 - 16*x**2 = 0.\nAnswer: -2, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1, 0.41 in decreasing order.\nAnswer: 0.41, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -2*d**3 - 7*d**2 + 3*d + 6. Let x be (-1 + 2)\/((-1)\/(-14)). Suppose -s = 18 - x. What is the remainder when 39 is divided by y(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*l**5 + 2*l**4 - 57 + 12*l**5 - 7*l**5 + (3*l**2 - 4*l**2 + 0*l**2)*(-2*l**2 + 4*l**3 + 2*l**2) + 0*l + 0*l - l**5 + l**5 + 2*l**5 - 2*l**5.\nAnswer: -2*l**5 + 2*l**4 - 57","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*o + 2*d - 9, 4*o + 1 + 4 = 3*d. Let v = o - 1. Suppose -8 = -2*i, -f + i + 3 - 4 = v. Solve -2*a - 13 + f = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and 2\/1987 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -92*p*r**3 - 162*p*u**2 + 6*r**3*u + 75*r*u**2 - 3*u wrt p?\nAnswer: -92*r**3 - 162*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -16*d**4 - 6492*d**3 - 595368*d**2 + 13093120*d - 3235968 = 0.\nAnswer: -212, 1\/4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 4266 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**3 + g**2 + g + 8. Give p(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iiiiiiiiii. Give prob of picking 4 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 26888504 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -0.02, -1, -0.2, -2\/5 in ascending order.\nAnswer: -1, -2\/5, -0.2, -0.02, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1036 - -619. Let o = n + 420. Solve -2*g = -4*a + 5*a + 4, 2*a = -o*g - 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 - -12. Let a be 2*(15\/2)\/w. Solve 3*m - 5*t - 1 = -3, 3*m + a*t + 18 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n + 7*n - 5*n)*(-2*n - 7*n - 7*n) + (4*n**2 - 2*n**2 - 4*n**2)*(-3 + 2 - 1).\nAnswer: -76*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i\/(i*i\/((i\/i**(6\/7))\/i)*i*i)))\/i*i\/(i*i*i*i**(2\/17)) assuming i is positive.\nAnswer: i**(207\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*u - 4*f + 31 = 14*u, 0 = 2*f - 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -3*c**3 + 2*c**2 + 23*c - 14. Let u(g) = 8*g**3 - 332*g**2 + 54 + 323*g**2 - 93*g + 4*g**3. Let q(y) = -9*o(y) - 2*u(y). Find f such that q(f) = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 417295 is divided by 197?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 11*v + 8. Let y be p(-5). Let l = -46 - y. Let s(i) = -8*i**3 + i**2 - 2*i + 1. Calculate s(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1658 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**3 + 4 - 16 + 22*h - 33*h + 7*h**2. Let w be 39\/(-6) - (-2 + 7\/2). Determine f(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 7 = 5*j, 0 = -5*i - 5*j + 6*j + 9. Solve 0 = -i*y + 5*q + 19 - 8, -q - 13 = -4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-47)\/(-7) + 2 + 2\/7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 84460831*q**4 - 70332039 wrt q?\nAnswer: 337843324*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16 - 3*a**2 + 89 - 73.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.34 + -0.06. Let l = 0.02 + -0.62. Let q = a - l. What is the smallest value in -2\/17, 2\/7, q?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**3 + 21*a**2 + 32*a - 88. Give q(11).\nAnswer: 1474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1072 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3879 - 3881. Which is the nearest to t?  (a) -1  (b) -4\/7  (c) 1\/12  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 65241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 248 = 4*k, k + n = -k + 124. Calculate the remainder when 1052 is divided by k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4735880 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -275382\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 82 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1469628?\nAnswer: 2, 3, 40823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g**2 + 4*g**2 - 3*g**2)*(-41 - 12 + 14)*(-5 + 3 - 1).\nAnswer: 117*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -229*u**2 + 328*u**2 - 192*u**2.\nAnswer: -93*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -74392 divided by 4696?\nAnswer: -9299\/587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6)\/(-6) + 9\/(-8). Let x be -2 - ((-344)\/208 + (-2)\/(-13)). What is the smallest value in x, -2, -1, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(1\/3)\/k)**(-44))**32\/((k*k\/(k\/(k*k**(-2\/3)*k))*k)**(-2\/3)\/(k*k**(-2\/13)*k*k**(-6\/5))) assuming k is positive.\nAnswer: k**(550798\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 25\/15*6\/5. Suppose -2 = y*o - 6. Suppose -c - g - 4 = 0, -4*g - 8 = o*c + 6. Which is smaller: -1\/14 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - -6 - (-9 - -19) - -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 89453, 89452, 89451, 89450?\n\"Answer: -t + 89454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2003, 4442, 7317, 10628, 14375, 18558?\nAnswer: 23177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12 - 12. Suppose 15 = -5*t, 5*f + 6*t - t = -175. Let j = -65\/2 - f. Sort -0.4, j, x in ascending order.\nAnswer: j, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -9\/3663040 and 169\/240?\nAnswer: 10989120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 206047 divided by 3?\nAnswer: 206047\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (4\/((-264)\/6))\/((-1)\/1)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 4714, 4652, 4592, 4534, 4478, 4424, 4372?\n\"Answer: h**2 - 65*h + 4778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2965*t**2 + 2932*t**2 + 2938*t**2 - 8875*t**2.\nAnswer: -40*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:14 AM and 5:20 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -4*c - 5*h + 16, 3*h = 2*c - 28. Suppose 3*a - 6*a + 6 = 0. Suppose -a*s + s + 21 = 0. Solve -3*r + 3*v = -15, -r - 3*v = -c*v - s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 23 - -4?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ((-2940)\/(-525))\/(4\/10)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m + 3*d - 1205, -60*d + 1816 = 3*m - 64*d. What is the remainder when m is divided by 23?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -278751320 greater than or equal to -278751320?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 3 - 7*n**3)*(5*n - 3*n + 44 - 11) as l*n**2 + a*n + o*n**4 + m + y*n**3 and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 64\/465 and 119\/930.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 1185.01 to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 + 13. What is the least common multiple of i and 12 + 0 - (0 - -1)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -5*u - 54. Give c(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 2 - 3 + 10*z**3 + 9*z**3 - z + 7*z**3 - 27*z**3. Let l(a) = -3*a**3 + a**2 - 6*a - 6. Calculate l(t) - 6*w(t).\nAnswer: 3*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + -6 - (-3 - (-2 + 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -154 - 2. Let o = -152 - n. Sort 5, -2\/3, o, 1 in decreasing order.\nAnswer: 5, o, 1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3.99 + -4. Let o = x - 0.99. Sort 0.3, o, 1\/2 in ascending order.\nAnswer: o, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1326 + 1331. Solve -g + 17 - 42 = -4*t, 2*g = a*t - 35 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 56 in 3, -138, 0.2, -17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a + 3*a - 6 = 0. Suppose a*c = 5*c. Let h(q) = -q**3 + 7*q**2 + 5. Let r be h(7). What is the nearest to c in -3, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 1 - 2)*(-2 - 2 + 2) + 573 - 344 - 306)*(-2 + 7*x - 4 + 4 + 0).\nAnswer: -511*x + 146","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000315957739 rounded to 5 decimal places?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110103321230 (base 4) to base 12.\nAnswer: -19492b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**3 - 14*p**2 - 21*p - 38. Is 23 a factor of o(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 484*o. Let r(b) = b. What is r(p(q))?\nAnswer: 484*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (3\/2)\/(2 + -11). Let w be 3*4\/126*3. What is the closest to w in k, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in f - f - f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-1*((sqrt(143) - sqrt(143)*2 - sqrt(143))*-6)\/((sqrt(44) - (sqrt(44) + (sqrt(44) - (sqrt(44) - sqrt(2156) - sqrt(44)))) - sqrt(44))\/sqrt(4)))**2.\nAnswer: -416\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1621551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2090 and 4462.\nAnswer: 4662790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 48673365 and 195?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 1142*j**2 - 107*j + 3050. Let u be d(26). Round u to the nearest 1000.\nAnswer: 772000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*s + 2*s**3 + 0*s - 15*s**2 + 18*s**2 in the form d*s**3 + r + o*s + c*s**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 70, 0.32, 0.5, -3?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes before 6:49 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 292770271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 9\/76, 4, 5\/2, 103?\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 111857?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 617424 to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*g**2 + 2*g - 3*g**2 - 5*g**2 + g - 2*g**2 - g + 3*g**2 - 4*g**2 + 2*g**2 + (2 - 2 - 2*g)*(0*g - 3*g + 2*g).\nAnswer: -3*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-9)\/(-2))\/(-1)*468\/39. Let u be 21\/p*3 - 5\/(-5). Which is the closest to 1.9?  (a) 0  (b) -0.4  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1, 3, 7, 11, 15?\n\"Answer: 4*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g = 2*z - 4, -5*z + 2 = -2*g + 16 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 163 is divided by 5*((-82)\/20)\/((-4)\/8).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 12 = 5*l. Let w = l + 0. Solve -3*d + w*s + 12 = 0, 0 = -d - 4*s - 25 + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14915947 to the power of 1\/2, to the nearest integer?\nAnswer: 3862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 3 + (-13 - -14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**4 + 3*h**3 + h + 1. Let n(w) = 3*w**4 + 131*w**3 + 395*w**2 - 5023*w + 4502. Let t(c) = -2*k(c) + n(c). Suppose t(p) = 0. Calculate p.\nAnswer: -15, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, w: 1, u: 2, j: 3, p: 3}. Give prob of sequence jp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes after 3:35 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}