{"text":"Question: Rearrange 4*u + 1 - 10*u**3 - 14*u + 10*u to the form h + k*u**2 + j*u**3 + g*u and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 38?  (a) -0.4  (b) 0.5  (c) -1  (d) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 66*g**3 - g**2 - 2*g - 2. Let z be b(-1). Let d = -65 - z. Factor 38*v - 36*v + 4*v**3 - 4*v**3 - d*v**3 + 2*v**2 - 2.\nAnswer: -2*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9210*g**5 + 2*g**2 - 3476*g.\nAnswer: -552600*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/14 and -19\/3255.\nAnswer: 6510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that 4\/3 + 1\/6*u**4 + 3*u**2 - 7\/6*u**3 - 10\/3*u = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3993 divided by 1331.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 23 and 231.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 3  (b) -0.004  (c) -5\/3  (d) -15\/17  (e) 4\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 4*v - 84. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1422936 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(52)*-4)**2 + 2.\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 2*b**3 + 2*b**2 + b + 7. Let f be y(3). Let o = -32 + f. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12*(-4)\/160*(-4)\/(-6).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 - (-2 + (4 - -2))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x + 2. Determine t(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 5}. Give prob of sequence aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2 - -66)\/(14\/1099). Let r be 5 + -1 + i\/102. Is r less than or equal to 57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 158 - 156. Let v(d) be the second derivative of 2*d + 0*d**3 + 1\/15*d**6 + 0*d**m + 0*d**4 - 1\/20*d**5 + 0 - 1\/42*d**7. Factor v(z).\nAnswer: -z**3*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0260255 rounded to 3 dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1124587 is divided by 495.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -66*y + 7. Let o(l) = -34*l + 4. Let s(n) = 5*o(n) - 2*r(n). Let p be 2*(-5)\/(30\/9). Let a be s(p). What is the highest common divisor of 48 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 1\/4 of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -25.8000608 rounded to 1 dp?\nAnswer: -25.8","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: -70 (base 9) to base 14\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v + 40*z - 45*z = 40, -9 = 3*z for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -8 - (8 - (-8 + 38))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t*t*t**3)\/t)**(-2\/57) assuming t is positive.\nAnswer: t**(-10\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 602564 is divided by 232.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -b6 - db?\nAnswer: -1b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2183253 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -6*c**5 + 8389*c**4 - 26520*c**3 + 20927*c**2 - 2790*c = 0.\nAnswer: 0, 1\/6, 1, 2, 1395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-120)\/(-90))\/(26*(-34)\/(-57681)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 1 + 9 - 2 + 0 + 4*y. Let n be r(5). Suppose -2*f - 5*k + n = -36, -3*f + 3*k + 138 = 0. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -5*k**2 - k - 8. Let i(q) = 3*q**2 + q + 5. Calculate 5*g(b) + 8*i(b).\nAnswer: -b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 19, -0.0237, -2, 5, -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1071, -1603, -2135, -2667?\nAnswer: -3199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.541 rounded to one dp?\nAnswer: 14.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:04 AM and 5:40 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 4*a**2. Suppose z - 2 - 8 = -i, 3*i - 24 = -z. Let v(d) = 3*d + 2*d + 4*d - i*d. Calculate v(h(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 48867506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8426.\nAnswer: 2, 11, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -651, -1331, -1997, -2643, -3263, -3851, -4401, -4907?\n\"Answer: b**3 + b**2 - 690*b + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 6 - 5)*(u**2 - u**2 - 2*u**2 + (2*u - 5*u + 5*u)*(0*u - 2*u + 6*u) - 4*u + 4*u + u**2 + 2*u - 2*u + 2*u**2).\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2 - 3 - -4)*608\/6. Calculate the greatest common divisor of z and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 44 = -0*s + 2*a, -5*a + 2 = -s. Let f(k) = 763*k - 1383*k - 1040*k - s - 2. Let w be f(-12). Round w to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*-4*(-2 + 6*(4*(3 + sqrt(637) + 0 - sqrt(637)))**2) + -4.\nAnswer: 13788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 24484 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/(-12)*-6*(-788)\/(-1182)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xaxa when four letters picked without replacement from axaxx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -130 + 128. Which is the fourth smallest value?  (a) 0  (b) -4\/5  (c) -0.4  (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2123.\nAnswer: 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of -306 and -0.1.\nAnswer: 30.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -17 + 24*x - 21 - 96*x - 132*x - 118*x**2 + 36 wrt x.\nAnswer: -236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(76)*6 - sqrt(19)).\nAnswer: -22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -442013014 (base 5) in base 16?\nAnswer: -1d1a3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 74, 46, -22, -148, -350, -646?\nAnswer: -1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**3 - 13*j**2 - 15*j + 12. Let a(t) = -t**3 - 20*t**2 - 34*t + 31. Let h be a(-17). Let c = -244 - h. Determine m(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*v + 15 - 6 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6377*k + 2 + 127*k**2 - 6377*k to the form s*k + r + n*k**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**3 - 10*n**2 - 11*n - 1. Let b be w(11). What is the nearest to b in 5, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 71a0 + -4?\nAnswer: 7199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 126 and 912478.\nAnswer: 8212302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4 + -7*(2 + 1). Is 2*t*50\/(-20) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15\/(990\/48)*(-11)\/(-1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a**3 - 1810*a**2 - 161980*a + 331240 = 0.\nAnswer: -182, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + 20 + -13 - -13.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 22553059*h - 1069549.\nAnswer: 22553059","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:49 PM and 7:08 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4485 - -4500. Solve -v = -3*q - 5*h - 5, -4 = 5*q - 2*h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.79741657 rounded to 2 decimal places?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1\/179 + -295\/20764. Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2205 and 30628710.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/(-90)*590\/1711?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 49\/(-8) + 2\/16. Let y(w) = -46*w**3 + w**2 + 13*w + 9. Let s be y(u). Suppose -3*a + 1987 = -0*z + z, -a = -5*z + s. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g**3 - 2*g**3 + 5*g**3)*(-650 + 114*g + 650) - 2*g**4 - g**3 + g**3.\nAnswer: 226*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -21 - -24. Solve -2*l + z + 1 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*g - 0. Suppose 10*m + 2*p = 12*m + 2, m - 2*p - 2 = 0. List the prime factors of 85 + m\/(-2 + g).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -5*x**2 + 465*x + 330. What are the prime factors of z(64)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -27\/20086 and 97\/6640?\nAnswer: 803440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/5 in 4, -4\/3, -0.4, 93, 105?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -46 + 51. Put 2, x, 21 in descending order.\nAnswer: 21, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6 - 12 - -2 - (-23)\/1 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**2 + g - 192. Let z(q) = -55*q. Calculate j(z(d)).\nAnswer: -3025*d**2 - 55*d - 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.6*0.24.\nAnswer: 0.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.149 less than -4?\nAnswer: -4.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 - (-3 + -1 + -3) - (-25 - -12).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) 1  (c) 4  (d) -56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2557481*h**3 + 1194571 with respect to h.\nAnswer: 7672443*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -20*c. Suppose 4*o + 22 = -2*m, 0 = -5*m - 0*m - 5. Let u(n) = 0 + 2 - 2 + 10*n. Let i(x) = o*u(x) - 3*k(x). Let h(y) = 2*y**2. What is i(h(g))?\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-b**2 - b**2 + b**2)*(-4566*b + 131932 - 131932) to the form x*b**2 + j + p*b**3 + a*b and give p.\nAnswer: 4566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*c - 24 = c + 3*w, 10*w + 3 = -4*c + 5*w for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 6606 divided by 6\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 600*h + 1180 - 13*h**2 + 16*h**2 - 8*h**2 + 8*h**2 + 2*h**2 = 0.\nAnswer: -118, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1\/110 + 309\/440. Find the common denominator of u and (-2)\/(-5) + (-86)\/20.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.4 - -3.4. Let w = 4 + -16. Let q be 28\/24 - (2 + 16\/w). Which is the nearest to 2?  (a) 3\/7  (b) j  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/6104 and 97\/1948.\nAnswer: 2972648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 + 2*p**2 - 4)*(p - 3 + 3 + (-2 - 9 + 2)*(-5 + 5 - 2*p)) as z + h*p + y*p**3 + l*p**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -13*v**2 - 7*v. Suppose -12 = -2*f - 2*f. Let c(d) = -6*d**2 - 3*d. Let y be 3*(35\/15 - 0)*-1. What is f*l(h) + y*c(h)?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 2 = -2, -2*i + 376 = -4*s. Let y be (i\/(-32))\/((-2)\/3). Calculate the highest common divisor of 36 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -7\/4, 0.5, 0.30192?\nAnswer: 0.30192","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 2.76, -38, 0.2, 116, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*w**2 - 3085 - 3*w + 16*w**4 + 3083 + 2*w**3 + 10*w**2 as o*w**2 + g*w**4 + v + j*w**3 + z*w and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g = -4*l - 20, 3*l - 11 = 5*g - 13 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d + 2*d + 1406 - 1105 = 68*w - 1079, -85 = d - 4*w for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -71  (b) -0.5  (c) -4  (d) -358\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/67 and 17\/3064.\nAnswer: 205288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes after 2:36 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**2\/9 - 34*u\/9 - 140\/9.\nAnswer: -2*(u + 7)*(u + 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 43*q - 813 - 133. Suppose -4*a + 3*a - 17 = 0. Let h = q - a. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(384) + -3*sqrt(384)*-1)\/((3*-2*sqrt(72))\/sqrt(6)) + 0)**2.\nAnswer: 128\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -268093, -268089, -268093, -268105, -268125?\n\"Answer: -4*b**2 + 16*b - 268105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -50, -1.\nAnswer: -50, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 33223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10959, 21921, 32883?\nAnswer: 43845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {q: 5, v: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 + -12 - (15 - 14)) + 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*x = -22*x + 62. Suppose 3*n = -x*v + 14, 6*v = -4*n + 7*v + 15. Solve 3*j + 2*g = 19, -n*j - 2*g - 8 = -30 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the second derivative of 2*k**7\/105 - k**6\/30 - k**5\/5 + k**4\/6 + 4*k**3\/3 + 3*k**2 + 3*k. Let l(n) be the first derivative of j(n). Factor l(p).\nAnswer: 4*(p - 2)*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 47 - ((-15 + 4 - -27 - 7) + 1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 3*n**2 + 4*n + 2. Let y(v) = -4*v**2 - 3*v - 3. Let w(j) = -3*h(j) - 2*y(j). Does 5 divide w(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2*(-15)\/(90\/(-24)). Solve -3*z + 1 = -y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -15 + 23. Let s be (4\/(-2) - -3) + 3. Suppose -3*c + 40 = 4*v, c - 24 = -s*v + 2*c. Calculate the lowest common multiple of l and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9085240 divided by -2?\nAnswer: -4542620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10243 (base 6) to base 5.\nAnswer: -21040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s**3 - 40*s**2 + 2*s + 83. Let o be v(-40). Suppose -2*d + 627 = o*a, -a + 3*a = -5*d + 429. Calculate the remainder when a is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**3 + 11*j**2 + 30*j + 15. Let w be u(-7). Let c(v) = 5*v + 2. Let m(l) = -l**3 + 1 - l + 2*l + 0*l**3. Give w*c(t) - 2*m(t).\nAnswer: 2*t**3 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**3 + 20*r**2 + 94*r - 9. What is y(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -7508*p**2\/7 - 137700*p\/7 - 46008\/7.\nAnswer: -4*(p + 18)*(1877*p + 639)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k + 1. Let t be h(-1). Which is the third biggest value?  (a) t  (b) -4  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(2) - (sqrt(24)\/sqrt(4))\/sqrt(3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r - 1. Suppose 121*k = -45*k - 53 - 113. Let q(v) = -6*v + 16. Calculate k*q(f) + 4*p(f).\nAnswer: 2*f - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1 - (1 - 1*4). Suppose 0 = -5*k + 15 + 10. Suppose k*z - 20 = z. Solve 0 = -4*q + b*c - 6, 3*q + z*c + 2 - 30 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 12\/(-8)*4\/(-3). Suppose -3*i - u - 2 = -t, -5*i = 5*t. Let m = 9 - i. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -260*z**2 + 0*z**3 + 292*z**2 + z**3 as p*z + s + c*z**2 + b*z**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.06 or -4\/123?\nAnswer: -4\/123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3099 - -3116. Solve j = -25*p + 8*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.4, -0.2, 0.5, 9\/8, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*s - 68*s + 159 = 0. Suppose 6 - 12 = s*q. Let z(n) = 3*n**2 + n + 2. Give z(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2784773 to the nearest integer?\nAnswer: 1669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 360.92 and -4?\nAnswer: -1443.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 9363.644 weeks?\nAnswer: 5663131891200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2 times -67788\nAnswer: -135576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -301, -511, -721, -931?\n\"Answer: -210*w - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*n - 2*s + 55, 94*n - 4*s + 367 + 667 = 0 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -4*w + 452, 9*s + 534 = 5*w - 77. Solve -15*d - w = -85 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 979661?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/309 and -95\/18?\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -211\/3 + 69. Let n = 0 - -0.5. What is the biggest value in n, -5, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**3 + 5*v**2 + 6*v + 2. Let a be s(-1). Suppose 4*l = -0*l + 52. Suppose a = -2*o + l + 17. Solve 6*x = 3*x - o for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + (19 - 4 - -3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.2 + -2.8. Which is the nearest to -1\/2?  (a) 5  (b) 0.4  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z**(2\/11))**(2\/31)\/(z**(-3\/8)*z*z**(-2\/5)))**20)**16 assuming z is positive.\nAnswer: z**(-16232\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 3218, 2, -3 in increasing order.\nAnswer: -3, 2, 3218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7 + 11. Solve -k*m - 3 + 19 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -96801*k**2 - 39309*k?\nAnswer: -193602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c - 2*z + 12 + 5, -5*c + 25 = 4*z. Differentiate -1271*p**2 + c*p**4 - 1 + 1271*p**2 + 23*p**4 with respect to p.\nAnswer: 128*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -226*o**2\/19 - 448606*o\/19 + 7940\/19 = 0. Calculate o.\nAnswer: -1985, 2\/113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -23140 + 23141. Let n(o) = -10*o**3 - 2*o**2 + 1. Give n(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6)\/(-8) + (-294)\/(-24). Let o = i - 1. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 49086 and 162?\nAnswer: 49086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 191 + -82. Let i = -110 + x. Which is the closest to -1?  (a) 0.4  (b) i  (c) 83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -104, -170, 154, 1222, 3388, 7006, 12430?\nAnswer: 20014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 886*h**2*j*s*v + 2*h**2*j*s + 2*h**2*s + 3*h*j**3*s + 3*h*j**2 + 2*h*j + 92*j**3*s*v + 17*j**3*s wrt v.\nAnswer: 886*h**2*j*s + 92*j**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:20 AM and 9:11 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 120 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2 - (3\/3 - 0). Let c = s + 5. Let n be ((-8)\/(-10))\/(c\/5). Solve -2*b + n*w - 10 = 0, 0*w - 17 = 4*b - 3*w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 140 is divided by 31.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 54588191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does -0.021 = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 17300 - 17276. Calculate the remainder when 7220 is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the third derivative of -t**4\/8 - 5*t**3\/6 - 13*t**2. Let b be d(-3). Suppose u - 5*u = -b. Solve -o + 0 = u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*p**4 + 4*p**4 - 20*p**4)*(2 + 0 - 3) + 2*p**4 + 1 - 1 + (3 + p - 3)*(-p - p**3 + p) - 84*p**4 + 11845*p**3 - 11845*p**3.\nAnswer: -76*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1861.997978 + 1862. What is c rounded to four decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 22828, 22829, 22830, 22831, 22832?\n\"Answer: t + 22827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/6)\/((-412)\/5562).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 59347049.11314 - 59348536.1131402074. Let u = 1487 + q. What is u rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 606 and -1587.\nAnswer: -981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 - -3. Let z be (-8)\/(-1203)*(375\/60 - 7). Which is greater: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 63780 is divided by 20968?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o**4 - 4*o**3 - 96*o**2 - 144*o = 0.\nAnswer: -3, -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -264 + 2?\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 80 + -73. Let m(s) = 3*s - 21. Let z be m(d). Solve 0*u + 2*u + 5 = 3*y, -3*y - u + 2 = z for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 7*k**3 + 10*k**2 - 15*k - 234. Let m be q(-8). Let b be m\/(-990) - (-6)\/54. Let 4\/3*f**3 + 44\/15*f - 14\/15 - b*f**2 - 2\/15*f**4 = 0. Calculate f.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -137123000 rounded to the nearest one hundred thousand?\nAnswer: -137100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:43 AM and 8:46 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -740\/9 - -82. Let n = -1.6 - 0.4. Sort n, -0.2, k in ascending order.\nAnswer: n, k, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -65*f**3 - 175*f**2 - 167*f**2 + 2 + 17*f**3 + 343*f**2 as g*f**2 + p + n*f**3 + b*f and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 3*i - 2. Let o(z) = z - 1. Let g(d) = -d - 7. Let a be g(-3). What is a*o(n) + r(n)?\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 140914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 7 = 49. Let k be (72\/28)\/(2\/t). Calculate the common denominator of (-2)\/k*7*-7 and -27\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k. Let c = 8 - 6. Let t(d) = -3 + 4*d**c + 1 - 5. Let u(j) = -j**2 + 2. Let b(w) = 4*t(w) + 14*u(w). Determine b(s(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -6*h - 12. Let o be p(-8). Find f, given that -15*f**3 - 8*f**2 - f**2 + 1 + o*f - 13 = 0.\nAnswer: -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of a**6 - 80*a**5 + 153*a**2?\nAnswer: 120*a**3 - 4800*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1383)\/(-12) + 3\/4. Let l = -101 + q. Calculate the greatest common factor of l and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 - 33 = -u. What is the common denominator of 143\/6 - (-2)\/4 and 159*(-8)\/140 + u\/21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1243 by -4.\nAnswer: 1243\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -182743.06484 rounded to the nearest one thousand?\nAnswer: -183000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(-2\/15)*x)**(-29)\/(x**(-16)\/x**(2\/39)) assuming x is positive.\nAnswer: x**(-7426\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1415633\/34044920 + 78\/9353. Find the common denominator of -19\/39 and t.\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28534892.\nAnswer: 2, 109, 65447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6946010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3 + 1*(3 + -5). Let u be -4*d + 0\/(0 + -7). Suppose 3*v - 3*y = 6, 0 = 3*v - 5*y - 3 - 9. Sort 0.4, u, v, -1\/3 in ascending order.\nAnswer: u, v, -1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2 + 1)*(-603)\/(-27). Let k be 603\/11 - (-6)\/33. Let d = m - k. Solve -2*u - 4 = -d, 36 = 4*t + 4*u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -578 + 576. Let i(j) = 4*j**2 + 5*j + 4. Let x(k) = -k**2 - 1. What is n*x(s) - i(s)?\nAnswer: -2*s**2 - 5*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -4*q + 3*o + 308, 253 = 3*q + 4*o. Suppose -3*f + 3767 = -2*m, -5*f + 5*m + 6191 + q = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8715633.\nAnswer: 3, 47, 61813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cvvcgvgkcvrhkc. What is prob of picking 1 h, 1 v, and 1 g?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15258686?\nAnswer: 2, 337, 22639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 6171, 7389, 8609, 9831, 11055?\n\"Answer: s**2 + 1215*s + 4955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 1, -2, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*n + 3*n - 2*n)*(-n + 2*n + 5*n)*(3*n + n - 5*n) as v*n + d*n**3 + g*n**2 + y and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -2*o**3 - 931*o**2 - 13500*o + 228. Calculate j(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -18550573\/114 - -162723. What is the common denominator of (1 - 228\/9)\/(-2) and o?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44164910 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -31 + 46. Suppose -g + 76 = y. Does 37 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 67 - 63. Suppose 2*t + 0*t + 3*u - 74 = 0, -2*t + m*u + 74 = 0. What is the highest common factor of 185 and t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**2 - 12. Let p(g) = -6*g**2. Determine p(r(a)).\nAnswer: -6*a**4 + 144*a**2 - 864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - -2 - -1 - -5 - -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -121\/12502 and 57\/10?\nAnswer: 62510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7125 + 7135. What is the least common multiple of f and 4258?\nAnswer: 21290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:07 AM and 7:16 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -q + 3*c - 8, -4*q = -4*c. Suppose -3*o + 259 = -r + q*r, 0 = o - 2. Suppose -6*w + 324 = -2*w + 2*l, 3*w = -4*l + r. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 3*b + 2 = -2, -2 = -b. Find the third derivative of -6*l**y + 37*l**5 + l**2 - 136*l**5 - 2*l**2 - 7*l wrt l.\nAnswer: -5940*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 90\/(-27)*(-3)\/2. Suppose m = -0*m + p. Let l(k) = -2*k + k - m*k + k. Let c(y) = 2*y**2. What is c(l(i))?\nAnswer: 50*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15930.\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2343.\nAnswer: 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y**2 - 5*y - 10. Let h be m(-13). Let c = h + 113. Let j(k) = 25*k - 10. Let o(l) = -l. Let w(r) = c*j(r) + 5*o(r). Differentiate w(v) wrt v.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000922205 rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the second derivative of 3*q**5\/5 - q**3\/3 - q**2\/2 + q. Let h be w(-1). Let u = -4106 - -4101. What is the third smallest value in h, u, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 7\/(-2)*(-8)\/7. Let w = 8 - o. Let m = 8 + -6. Solve 14 = m*n + 2*i, -w*n + i + 14 = -2*i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13496 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 123806?\nAnswer: 2, 103, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjmbgmmgrmmmgjggmyj. Give prob of picking 1 b, 1 r, and 1 j.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4\/9  (b) -4\/1555  (c) 2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4.7 - 3.365. Let x = m - -8. Let i = 4.775 - x. What is i rounded to 1 decimal place?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33725 is divided by 6576.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 - s + 11. Let w = -9 - -9. Let o(i) = i**2 - 3*i. Let n be o(4). Suppose n*k - 5*k = w. Give m(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1587125, -1587129, -1587133, -1587137?\n\"Answer: -4*k - 1587121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j**2 - j**2 + j**2)*(3 + 0 - 2) - 2*j**2 + j - j + 0*j**2 - 3*j**2 + 5*j**2 + 5*j**2 + 6*j**2 - 4*j**2 + (-3*j - j + 3*j)*(-j - j - 2*j).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7552 - 7551.8. Let g = -11 - -7. What is the second smallest value in x, 5, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -6, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-2 - 0)\/(5\/(-170)) is divided by 22 + 0 + 0 + 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 157 divide (193224\/(-36))\/((-4)\/18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 171 divided by 19\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/6, 2, -0.01714 in increasing order.\nAnswer: -1\/6, -0.01714, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 19 + -12. Suppose -y = 4*p + 5. What is the tens digit of 13\/(p - -4) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10083 - -20887. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 515168 and 515168 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -5748421.431 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9 + 322*k - 9 - 5 + 9 + 17 to the form u + z*k and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by 44?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-32)\/16*(-33)\/110.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -14*o - 14. Let d be h(-6). Is d\/4*(-2 + 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6*4\/84*7. Factor a**3 + 11*a**2 - 5*a**3 + 41*a**2 - 28*a**p.\nAnswer: -4*a**2*(a - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 102*x - 497. Let z be c(5). Calculate the highest common divisor of z and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 18\/11*c + 2\/11*c**2 + 0 = 0. Calculate c.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*u + 65 = -71. Calculate the remainder when 38 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12192 and 88?\nAnswer: 134112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**3 + 4*h**2 + 5*h + 2. What is o(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d - 3*h + 1647262, 20*d + h - 2470900 = 14*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 6524552, 6524558, 6524564?\n\"Answer: 6*c + 6524546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 26 (base 14) to base 4\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 5, u: 6, e: 2, x: 1, q: 2}. What is prob of sequence wqe?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2780531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the third derivative of x**6\/120 - x**5\/12 + 5*x**4\/24 - 3*x**3\/2 - x**2. Let q be g(4). Let w(a) = -a**3 - 6*a**2 - 2*a + 6. Determine w(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1220111300 (base 4) in base 3?\nAnswer: 210201020202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**3 + 7*c**2 - c - 3. Let l be -9 - -2*(1 + 0). Let y be k(l). Suppose 4*r - y*j - 960 = 0, j + 468 = 2*r + 3*j. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 0*b + 141 = b, -4*b + 419 = 3*v. Suppose -2*s + 185 = v. Is s a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {q: 3, s: 3, d: 5, l: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2248*y**3 - 1946*y**2.\nAnswer: 13488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(684) + (2 + sqrt(684) + 5 + sqrt(684) - sqrt(684))**2.\nAnswer: 90*sqrt(19) + 733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8.6721 - -8.7. Round w to 3 decimal places.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 6*o**2 - 7520*o - 98801. Calculate t(-13).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.03, 0.332, -3\/5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -4*g**5 + 4*g**4 + 52*g**3 - 100*g**2 + 48*g = 0?\nAnswer: -4, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**10*l*l**(4\/7)*l)\/(l**(-1\/6)\/l)**3)**45 assuming l is positive.\nAnswer: l**(10755\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -175 + 21 = -2*d + 2*u, -3*d - 3*u + 219 = 0. Suppose -7*x + 2*x - d = 0. Calculate the smallest common multiple of 22 and x\/20 + (-278)\/(-8).\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 197 minutes after 10:20 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**3 - 2*p**2 + 3*p + 4. Let o(x) = -x**2 - 6*x + 3. Let i be o(-7). Let g be c(i). Let a = -8 + 11. Solve a*b - 4*f = b + g, 16 = 5*b + f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = h. What is the smallest value in h, -4, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*s**4\/2 - 1101*s**3 + 19989*s**2\/2 - 26724*s + 17832 = 0. What is s?\nAnswer: -743, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 23\/3 - 1\/6*t**2 + 15\/2*t.\nAnswer: -(t - 46)*(t + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -736\/11827?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-47 - -51) + (-21 + -3 + -5 - -5).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 2*q + 2. Suppose 2*l = l. Suppose -2*a - 8 = -l*a. Let b(x) = x + 1. Let i(y) = -y - 1. Let c(p) = 4*b(p) + 6*i(p). Calculate a*s(n) - 3*c(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 + 1. Let q(i) = -i**3 + 4*i**2 - 2*i - 2. Let h(x) = -x**2 - x + 2. Let l be h(0). Let o be q(l). Solve p - 12 = -5*a, s*a = o*a + p + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 340.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, s: 4, q: 3, c: 1, g: 2, r: 4}. Give prob of picking 3 r.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-48 + 28 - 25)*(-1 + 1 + w**2).\nAnswer: -45*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (53 - 103 + 58)*(-4*v + 0*v + 3*v) + 2*v + 0*v - 3*v in the form k + b*v and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 1, x: 7, e: 1}. Give prob of picking 1 j and 3 x.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes before 2:11 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 264835789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 - 0)*-2 - -4. Let s = -3 - -6. Solve 4*u - a + 6*a = -2, 0 = -s*u - 2*a + m for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes before 2:13 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 550.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7000 is divided by 140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-19 + (11 - 1) - -4) + 10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 293 is divided by 82?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n - 2*n**2 - 3*n)*(2*n - n + n) + n**3 - 3*n**3 - n**3.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35839 = -4*t + 17*t + 36268 for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 16*g**2 + 46*g - 180. Let o be x(4). What is the greatest common factor of 78 and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 21*x - 38*x + 25*x + (0 + 0 - 2)*(-2 + 3*x + 2) to the form p + u*x and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 88\/42 + (-834)\/8757. Sort b, -183, 12.\nAnswer: -183, b, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 10 + 8 = 0. What is the third derivative of -6*x**5 - 6*x**5 + 5*x**2 - x**2 + o*x**2 wrt x?\nAnswer: -720*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/(-36))\/((-22)\/(-495)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6755*z - 7481.\nAnswer: 6755","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence je when two letters picked without replacement from meeymdj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -5370 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -21199531, -42399062, -63598593, -84798124, -105997655, -127197186?\n\"Answer: -21199531*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/6731 and 101\/2650.\nAnswer: 336550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 + 5. Suppose -c*w + 15 = 3*w. Suppose w*f + 5 = -2*f. Let r(a) = 7*a + 1. Give r(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -28.7  (b) -1  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 4181*q**2 - 15*q - 15. Is s(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -1853*w + 276039. Give f(149).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**2 - 25*m + 67. Let o be g(22). Solve 2*s + 6 = -2*n, -7*s = -4*s - 2*n - o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -b**4 - 194640*b**3 - 6*b**2 - 9127341*b.\nAnswer: -12*b**2 - 1167840*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -71, -86, -105, -134, -179, -246, -341?\n\"Answer: -c**3 + 4*c**2 - 20*c - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 56135 and 412?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 669.7 - -351.6. Let g = 933 - q. Let z = -92 - g. Round z to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z - 3 = -3*c + 2*c, 3*c = 5*z + 9 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -41 - -24?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 1 o when three letters picked without replacement from {s: 5, o: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/750 and -83\/13206?\nAnswer: 1650750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3*136\/(-156) + -4. Put 1\/5, -1\/5, -1\/7, g in increasing order.\nAnswer: g, -1\/5, -1\/7, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-104)\/154)\/2 - (-3)\/7.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -0.06  (b) -25126  (c) 1  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-22)\/16*(-40)\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:31 AM and 10:46 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 2*p**3 - 3*p**2 - 5*p + 4. Determine v(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*s + 645 - 483 = 0. Suppose 16*i + 102 = -s*i. Suppose 0*w = -3*w - 3. Sort w, i, -6 in decreasing order.\nAnswer: w, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 12 = 2*v, 7*q - 4*q - 2*v = 20. Suppose 16 = 4*o + 4. Suppose -q*z = -o*z - z. Which is greater: z or -2\/15?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 319 divided by 382\nAnswer: 319\/382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 3*j**2. Let t(u) = 797937*u. Determine t(d(k)).\nAnswer: 2393811*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3766*d + 3738*d + 840. Solve d*i - 30 = 24*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the third derivative of 0*m + 1\/30*m**5 + 0*m**3 + 1\/105*m**7 + 0 + 0*m**4 + m**2 - 1\/30*m**6. Suppose n(w) = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*b + 6747 - 2301 = 0. What is the highest common divisor of 38 and b?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = r + 2, -4*p + r + 77 = 0. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:12 PM and 11:48 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1126 a factor of 25218209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 131017.9ug in tonnes?\nAnswer: 0.0000001310179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 66061870057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4885 + 5622. Calculate the remainder when w is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -45663b (base 13) to base 3\nAnswer: -10002102201002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 5 + 68 = t, t = q - 15. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 3 = 23. Let g be (-17 - -21)*(-7)\/((-196)\/21). Solve -h - g*h = u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1dacd6a - 0?\nAnswer: -1dacd6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 56 - 56.0107. What is g rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/8 + (-11)\/(-4). Let t(p) = -2*p**2 - 5*p**2 + p**3 + 0*p**b + 2*p**2. Calculate t(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.4  (b) -3  (c) 8  (d) 2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**28\/((x\/x**(-41))\/x))\/(x*x*x**5)**31 assuming x is positive.\nAnswer: x**(-230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 15730\/264264*(-16)\/10*-6?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:09 PM and 10:52 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 37521 and 216.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1032, -4002, -8778, -15216, -23172, -32502, -43062?\nAnswer: -54708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1669*w - 28 = -1662*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 g, 1 a, and 1 z when four letters picked without replacement from {z: 2, x: 3, g: 1, s: 3, e: 2, a: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2917322 is divided by 1445.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.745?  (a) 2\/21  (b) 2  (c) 4  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 5*i**2 + 5*i + 9. Let o(x) be the second derivative of -x**4\/12 - x**3\/6 - 7*x. Let p(b) = -d(b) - 4*o(b). Calculate p(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00374536 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -9*m - 7. Let x(j) = -8*j - 6. Let f(s) = 6*b(s) - 7*x(s). Let p(q) be the first derivative of -2*q**2 - 2. Determine p(f(d)).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59 = -q - 3*o, q - 7*o - 64 = -11*o. Solve 0 = -41*s + q*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -417*p**2 + 733*p**2 - 333 - 54 - 499*p**2 - 346*p**2 with respect to p.\nAnswer: -1058*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -38 greater than or equal to -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4  (b) -0.6  (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1007 - -5033\/5. Let m = 4 - 4. What is the biggest value in m, -4\/7, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k - 2*k**2 + 2*k**2 - k**2)*(-3*k - 3*k + 5*k + (0*k - k - k)*(-6 + 3 + 4) + 0*k + 2*k + 0*k).\nAnswer: k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**3 - 3*r**2 - 4*r + 2. Let n be a(4). Suppose -n*d + 8 = 22. Let l be (1000\/(-6))\/(d\/10080). Round l to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 24.52 + -421.52. What is the closest to 1 in q, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - j + 35 = -5*s, s = -3*j - 7. Let p = 2 - s. What is the remainder when p is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 238333131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (12 + -1 + -3)*(2 - 20\/8). Put -12, u, 3\/2, 1, 4\/7 in ascending order.\nAnswer: -12, u, 4\/7, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 3*m + 10*m = 0. Suppose 0*n + 5*n - 179 = -2*o, m = 3*n + o - 108. What is n rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 125558465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -9*n + 11. Let z be m(-5). Suppose z = -c + 2*c. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*a**3 + 1 - 6*a - 4*a**4 + 34*a**2 - 7*a - 33*a**2 + 2 + a to the form c*a**2 + k*a + q*a**3 + n*a**4 + s and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -18, -60, -128, -222?\n\"Answer: -13*x**2 - 3*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-40)\/(-180) + 122\/(-36)*-74.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2399 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3313003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the second derivative of -c**6\/45 + c**4\/6 + 2*c**3\/9 + 37*c. Determine s so that y(s) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-34)\/153*9\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 17703168 and 397824?\nAnswer: 35406336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 940108\nAnswer: 3\/940108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.01 and 1105.1.\nAnswer: -11.051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(288)*2 + -5 + (-2*sqrt(288)*3 - (sqrt(288) + 0 + -1 - sqrt(288))))*-6)**2.\nAnswer: 13824*sqrt(2) + 166464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -25a453 (base 11) in base 6?\nAnswer: -12434131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/9 - (0 + 0). Let g be 75\/90 + 4\/6. Sort 1, g, q in descending order.\nAnswer: g, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*i + 39*i + 112*i + 3*i - 8496 = 0 for i.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -38\/3?  (a) -5  (b) 4\/3  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 at most 12608?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -36*u**5 + 6791*u**4 + 2*u**3 - 3*u**2 - 4262446*u wrt u.\nAnswer: -2160*u**2 + 162984*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 3 = 2*c. Let i = 7 - -1. Calculate the remainder when i is divided by ((-10)\/1 - 0)\/c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -65.3*0.5188.\nAnswer: -33.87764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b = -3*j + 39, -3 + 112 = -5*j + 27*b - 38 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 9*f**2 - 5*f + 1. Is n(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17 + 5 - 1)*(n - 3*n + 6*n)*(18*n**3 + 14*n**3 + 21*n**3).\nAnswer: -2756*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 15684940 and 2900?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.300554 millilitres to litres.\nAnswer: 0.006300554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**3 - p**2 + 79. Suppose 5*n + w = -0*w - 4, -n - w = 0. Let t be (0\/n)\/(-5 + 7). What is the tens digit of r(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a microgram in nanograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10100 - -101?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/48430144 and -81\/50872.\nAnswer: 48430144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 83863*u**2 - 79753?\nAnswer: 167726*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j\/(j\/j**(-6))*j*j*j**0*j)**(-3) assuming j is positive.\nAnswer: j**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2 - 4)\/(-12))\/(4\/256). Solve 0 = -a + 2*j + 5, 3*a + 5*j = -a - b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the second derivative of -2*l**6\/9 - 2*l**5\/3 - 25*l**4\/36 - 5*l**3\/18 + 27*l. Find p, given that d(p) = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.373 + -0.027. Let i = -1 + 1. Let g = 0.3 + -1.3. What is the nearest to g in a, i, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 4}. What is prob of picking 4 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 + 3 + -3 + -2. Let g be 3*t\/2*-2. Solve 4*i = -8, 4*c - 2*i + g = -5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4616008 - 20?\nAnswer: -4616028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t - 9. What is v(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -123458697.48000069 - -123458698. Let l = -424.68 + 425.2. Let t = h - l. What is t rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2885 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 245 divide 3001740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16980805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -671\/74 + 317\/37. What is the smallest value in -14, z, 24\/5, -1?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 9, h: 5}. What is prob of sequence hddh?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -192000 divided by 60?\nAnswer: -3200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 702577621 is divided by 206.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 181069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 415, 88, -467, -1256, -2285, -3560, -5087, -6872?\nAnswer: -8921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 738.2356ml to litres.\nAnswer: 0.7382356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 17355732 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = 4*t - 8, 9*t = 11*t + 2*s - 4. Factor 0 + 0*c - 2\/3*c**t.\nAnswer: -2*c**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -4078, -9438, -16080, -24004?\n\"Answer: -641*f**2 - 3437*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**2 + 16*d - 34. Let t be o(12). Let l(n) = 6*n. Let i(v) = -12*v. Determine t*l(u) + 6*i(u).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -5*p - 3. Let u be a(3). Let l = -18 - u. Suppose -2*g - 2 - 12 = l. Let w(s) = -s - 3. Give w(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 16023 + -16007. Is 399\/26 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 61, 267, 14004?\nAnswer: 14004","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2805850051 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 9) to base 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3452209 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((l*l**14)\/l)\/l*l*l*l**(-9\/4)*l*l*(l\/(l*l**(-1\/2)))**4)**31)**(24\/5) assuming l is positive.\nAnswer: l**(12462\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3 + -10*6*(-3)\/15. Suppose -2*d - d + p = 0. Solve -3*n = a - 10, -4*n - 5 = -2*n + d*a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -169*n - 1260 = 41*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10142399591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 3*i**2 + 2*i + 4. List the prime factors of s(4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 590 by -1.\nAnswer: -590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and -100.8.\nAnswer: 302.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 36298 - 36299. Which is the biggest value?  (a) u  (b) 10  (c) -61\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f + 4*s - 71 = -162, -2*f - 85 = 5*s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/2?  (a) 4  (b) 0.5  (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 6*z = -z + 6, -z = y. Let o(h) = h**2 + 1. Let i(p) = -p**2 + 2*p - 2. Determine y*o(c) + i(c).\nAnswer: 2*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 161 + -57. Let s(j) = 2*j**2 - 21*j - 213. Let p be s(17). Calculate the greatest common divisor of p and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 2*g**2. Let y(u) be the first derivative of 3*u**3 - 5. Give y(i(c)).\nAnswer: 36*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*v + 19160 - 3*v + 19160 - 38320 - 2*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-284)\/3408)\/((-33)\/24).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3  (b) 8  (c) -609\/289  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000303399 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -m + 2, 5*q = -m + 2 + 7. Is -2*q\/((-6)\/57) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.117181 rounded to 4 decimal places?\nAnswer: -0.1172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1356.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(441) + -6*2*sqrt(441))\/(2*sqrt(192) - -4*(sqrt(3) - sqrt(12))).\nAnswer: -77*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that 45*t**3 + 29535195*t**2 - 39380320*t + 13126780 = 0.\nAnswer: -656339, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -287135208 divided by 72.\nAnswer: -3987989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g - j + 2*j + 3, 2*g + 7 = -j. Is 4 a factor of -1 - 0 - g*9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 2*d + 36301 - 8131 = 0, -d - 42247 = -3*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 6, v: 2, x: 2, a: 1}. Give prob of sequence xx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.11  (b) -1\/11  (c) -1\/4  (d) 0.19  (e) 18\/163  (f) -5\/3  (g) 1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 357555 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2\/27 - -11\/27. Let c(g) = g**3. Let k = 1 + -1. Let y be c(k). What is the closest to y in h, 0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 138708028 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 434.24789 - -0.05211. Let o = i + -416. Round o to 0 decimal places.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(57)\/(sqrt(75)*2).\nAnswer: sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y + 4. Let s = 4 - 1. Let i(k) = -k + 3. Let d(o) = s*b(o) - 4*i(o). Let u(r) = -r**2. What is d(u(a))?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-13\/2)\/(r\/(((r*r**(1\/58)\/r)\/r)\/r))*(r**(-35)*r*r)\/r**14 assuming r is positive.\nAnswer: r**(-1638\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((6048081\/(-18))\/(-13) + 6)*(-2)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 69, 20, -41, -120, -223?\n\"Answer: -j**3 - 42*j + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-18)*(5 - (-7)\/(-2))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2298 - -2298.000016645. Round m to seven decimal places.\nAnswer: 0.0000166","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000373 rounded to six dps?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 136 and 111962?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 5*l - 9*l - 10 + 3*l - l**2 - 10*l. Let j be 3\/2*((-1760)\/15)\/16. Give g(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -275, -309, -323, -317, -291, -245, -179?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*s - 4*s + 14. What is the closest to 0.1 in 0.4, s, -2\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 1\/24 of a minute?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 14\/(-4) - (-355)\/10. Suppose 0 = 4*c - 6 - 14. Find the second derivative of -1140*g**3 - h*g**c + 1140*g**3 + 31*g wrt g.\nAnswer: -640*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -14 > -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the first derivative of -15*o**3 - 2*o + 826. Let a(x) = 13*x**2. What is k(a(m))?\nAnswer: -7605*m**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2284168 = 59*u - 926317. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0050663 rounded to four dps?\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes after 9:23 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 118858013 by 1033.\nAnswer: 115061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**3 - 24*u**2 - 25*u - 31. Determine f(-23).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -436 - -438. Solve 0 = -8*y - 2 + k for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/(-2*(-12)\/(-16)). Let a(m) = -m**2 + m + 2. What is a(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 376, 285, 142, -59, -324, -659?\nAnswer: -1070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/2, -13, -1\/4, 3\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41274?\nAnswer: 2, 3, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.29, -0.4, -2\/11, 0.2, 7, 0.07?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5.1 - 0.1. Let u = 52.6 + -48. Let k = r - u. Which is the nearest to -0.1?  (a) 5  (b) -4  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/6, -0.08, -2\/17, -0.09, 1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*s**2 + 10*s**2 - 8*s**2 + (0 - 1 + 0)*(3*s**2 + s**2 - 2*s**2) - 1050 + 27*s**2 + 1050.\nAnswer: 35*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 4 = y, -8 = 2*y - 0*y + j. Let i(h) = h**3 - 5*h - 16. Let n be i(y). Let p = n + 120. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m + 4. Let h be v(3). Suppose -3*i = -2*i - 5. Let z = -1 + i. Solve -5*j - 5*x = 35, -j = x - z*x - h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 7*u = -2*c + 144, -2*u = -3*c - 88. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -6\/5 - 26\/5*q - 8\/5*q**2 = 0. What is q?\nAnswer: -3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*t + 8*t + 960 = 0. Calculate the greatest common factor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11 - -7. Let d(q) be the second derivative of 0 + 0*q**3 + 2*q + 1\/2*q**2 - 1\/20*q**5 - 1\/3*q**4. Give d(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**2 - 11. Let l be q(0). Let d(z) = -z**3 + 5*z**2 + 6*z + 6. Let a be d(6). Let c be l\/(-3) + 2\/a. Solve -c*y - 1 - 3 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1517548*u + 964743.\nAnswer: -1517548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*x**3 - 30*x**3 - 24*x**3 - 16*x**3 + 99*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (t - 2*t + 3*t)*(10*t**4 - 14*t**3 + 14*t**3 + (-1 + 1 + 3*t**3)*(-15*t + 3*t - 3*t) + 1 + 2*t**4 - 1).\nAnswer: -66*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/10*(-21)\/42?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 5 + 15 = 2*k, -3*z = -k - 4. List the prime factors of k\/4 - 4\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 69 divide 7860720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*j - 19 = 14 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -3, -4, 2.1276?\nAnswer: 2.1276","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 356 and 1670975.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 227*c**2. Let i be (-26)\/(-30) - 1 - 9472\/960. Let w(p) = -9*p + 10. Let z(s) = -2*s + 2. Let q(n) = i*z(n) + 2*w(n). Determine l(q(r)).\nAnswer: 908*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**5*b**(-1\/2)\/b*b**(-2)\/(((b*b\/(b*b\/b**(-2)))\/b)\/b))\/((b**(1\/4)\/b)**(18\/11)*(b**1)**(-2\/23)) assuming b is positive.\nAnswer: b**(1724\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/3)\/((-13)\/234*354 - -18). Let t(r) be the second derivative of b*r**3 + 0*r**2 - 1\/20*r**4 + 53*r + 0. Factor t(l).\nAnswer: -3*l*(l - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 22167 and 83907?\nAnswer: 206662941","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1324950 rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 70*m**3 + 2*m**2 + 2*m + 2. Let q be d(-1). Let o = q - -72. Solve 0 = 5*j - o*p - 3, 5 - 2 = -j - p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -31 - ((-25 - 41) + -15 + -3)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together -7723088117468 and 0.1.\nAnswer: -7723088117467.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 364940941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 181942.\nAnswer: 2, 90971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1213, -5844, -13885, -25342, -40221, -58528, -80269?\n\"Answer: -c**3 - 1699*c**2 + 473*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3 and 25136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-2\/13)\/o**(-2\/11)*(o\/(o*o\/(o*o**(-5)*o)))\/(o*o\/(o*o**(-4\/5))))**(1\/19) assuming o is positive.\nAnswer: o**(-4127\/13585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72171?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.02295  (b) -2\/13  (c) 0.5  (d) 1  (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 38, -16, 6, 0, 4 in decreasing order.\nAnswer: 38, 6, 4, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:32 AM and 6:01 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0 and 13003528130730.\nAnswer: 13003528130730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 17261741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**3 - 29*r**2 + 33*r - 55. Let o be v(28). What is the greatest common divisor of 10 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-7)*15\/(-30)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 542197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 (base 10) in base 12?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 137627715 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.003208954 to four dps.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31505130 (base 6) to base 4.\nAnswer: -3202030032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17 + -14. Suppose z*h - 50 = -2*f + 129, 232 = 4*h + 4*f. What is the remainder when h is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.1  (b) -2  (c) 2  (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 12 + 4. Let x = s - 16.000028. Round x to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 49192 and 55341?\nAnswer: 442728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 7.8, 9\/10, -0.5, 4\/3, -1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-2)\/(-2))\/(6\/114). Suppose -2*v + 4 = -r + 6, 0 = -2*r - v + j. Suppose -r*m = -3*m. Solve m + 1 = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 369 <= 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8408 is divided by 100.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -6737.317 to the nearest 10.\nAnswer: -6740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -318*o - 54*o + 46*o - 6194 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1243, 6, 0, 22, -3 in descending order.\nAnswer: 1243, 22, 6, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 19080 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -2. Let o(f) = 180*f + 11. Give o(u) + 5*w(u).\nAnswer: 180*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -19 - -23. Suppose -2*h + 5*h - 4*i = 671, -j*h = 5*i - 843. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -159*j**2 - 3392 + 3392. Let o(h) = h. Determine o(g(c)).\nAnswer: -159*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, y: 1, b: 2, p: 2, o: 1, s: 1}. Give prob of sequence pbp.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*t = 9*t - 1105. Let j = t - -392. List the prime factors of j.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) -3\/4  (c) 3\/4  (d) -1  (e) 4\/827  (f) 1.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 5*o**3 + 140*o**2 - 7*o - 42. Calculate h(-28).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11954, -23923, -35892, -47861?\nAnswer: -59830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2898, -2907, -2928, -2967, -3030, -3123, -3252, -3423?\nAnswer: -3642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7293 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -557.9 - -558. Which is the closest to z?  (a) 2  (b) 5  (c) -1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-143)\/26 - ((535\/(-10) - 16) + 17).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tg when two letters picked without replacement from gttgttttttttftttt?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.05 in -1\/2, -2, -53, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 32.57831 - 50.918446. Let i = 18.26 + v. Let r = i - -0.08. What is r rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12 and 55008?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 take away 175?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.54 - 10.46. Let r = n + 10.9936. What is r rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3\/(-2)*-28 - 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2792 divide 57090816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 27 = 5*s. Suppose -k + s = -1. Suppose 2*l + 2*p + 2 = 0, -5*p = -k*p - 15. Solve -5*q = -2*v - 18, 0 = -l*v + 4*q - 12 - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i. Let k(c) = -87192*c. Calculate k(g(j)).\nAnswer: 87192*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 5349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 4*n - 4. Let r(i) = -4*i + 124. Calculate the lowest common multiple of n and r(17).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**3 - s + 2. Let a be n(0). Suppose 3*j + 4*r = -a*j - 1049996, -j + r - 210001 = 0. Round j to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/((-57*(-96)\/1824)\/((-18)\/224))?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 354\/(-767) - (-126)\/(-168)*15280\/(-156)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -36*x**2 - 28*x. Let y(n) = -n**2 - n. What is 2*c(t) - 56*y(t)?\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -102 - -170. Suppose -35*x + 31*x = -j. Let l(r) = 7*r + 14. Is l(x) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66 = 11*l - 22. What is the common denominator of 6\/(-20) + l\/20 - 1 and 55\/276?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 3 - 2)*((2 - 1 + 0)*(-4*v**3 - 2*v**3 + 5*v**3) + v**3 + 7*v**3 - 4*v**3)*(4*v - 2*v - v)*(-3 + 2 + 3).\nAnswer: 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 2 = 3*f - 2*v, -f - 5*v = 4. Let m(x) be the second derivative of 1\/3*x**3 + 0*x**2 + 0 - f*x. Calculate m(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0945 - -81564.\nAnswer: 81563.9055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i - 5. Let o(x) = 6*x - 36. Let q(b) = -6*o(b) + 45*v(b). Let p be q(5). Let a = p - 10. What is the least common multiple of a and 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 1692 = 5*g, 3*g - g = -o - 676. Let j = -287 - g. What is the remainder when j is divided by 1*(-1 - -26*1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 - 1\/4*y**5 + 0*y**2 + 0*y**4 + 0*y + 1\/4*y**3 = 0 for y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39123502727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 53346888?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ml when two letters picked without replacement from {u: 1, l: 2, q: 1, m: 13}.\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-22)\/((-1078)\/(-35))*(-2 - (-56)\/30).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 985.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (18 + -9 - 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + (-7 - -2) + (-20 - -21).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -227*c*j**3 - 2*c*j**2 + c*j - 40*c + j**3 + 78*j**2 - 3473*j wrt j.\nAnswer: -1362*c*j - 4*c + 6*j + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*v + 11*v + 5*v - 475 = -9*q - 108, -222 = -6*q - 3*v for q.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 + 2581?\nAnswer: 2582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -74, -149, -214, -263, -290, -289, -254, -179?\n\"Answer: l**3 - l**2 - 79*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in -0.1, 2, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*k - 32*k - 2*o = 1288, -3*o = -k + 332. Calculate the smallest common multiple of k and 96.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 5*y - 10*m + 9*m, -y = -2*m - 7. Suppose 0 = 5*q + 5 - y. Solve -4*v - 2*j + 6 + q = 0, 0 = 5*v - 3*j - 35 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -227, 2\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n - 3*n + 0*n + (-4 + 3 - 1)*(-5*n + 4*n - n) - 98 + 10*n + 98)*(-1 + 0 + 0).\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1.6  (b) 1\/10  (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/4)\/(785\/26376*(-27)\/(-15)).\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.1 + 0.4. Which is the closest to 0?  (a) s  (b) 2\/5  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*h + 5*h = -21. Let s(b) = 0 + 4 - 4 + b. Determine s(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:55 AM and 4:58 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 8\/(-7)*2\/8. Let u = 428 - 416. Is f at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*sqrt(76)\/sqrt(4) + (sqrt(931) - sqrt(931)*2))*5 + (4*sqrt(95)*-1 - sqrt(95))\/(-4*sqrt(20)\/sqrt(4)))**2 + 5.\nAnswer: 23355\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, w: 2, s: 3}. Give prob of sequence dw.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48317687?\nAnswer: 11, 23, 190979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2652 + 2737. What is the highest common divisor of 2635 and h?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2294001?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -42 - -101. Suppose -r = 2*n - 67. Solve k - 3*j = -8*j + 13, 0 = -3*k - n*j + 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -108 and 217132.\nAnswer: -23450256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1, -2, -155, 1\/6, -1\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100011010101110010 (base 2) to base 14.\nAnswer: 3aa78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1362 - 1354. Which is the nearest to 0.1?  (a) 0.5  (b) -0.5  (c) 0.3  (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*r - 9*r = 48. Suppose -4*d - 3*k + 42 = 0, -2*d - r*k = -6*k - 20. What is the highest common factor of d and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 23 + o**3 + 2*o**2 + 8 - 11 - o**2. Is 10 a factor of u(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in twenty-one eighths of a centimeter?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) 0.1  (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 - 1 - (-4 + -3 - (-49 + 56) - 35).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1055 and 10265.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1591 - -1652. Let j(o) = -2*o**3 - o**2 + o - 1. Calculate the remainder when i is divided by j(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 (base 8) in base 11?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1307975?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the third derivative of -35*h**4\/24 - 2*h**3\/3 + 611*h**2 - h. Let z(s) = s + 1. Give r(x) + 4*z(x).\nAnswer: -31*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -74*y**2 - 99*y + 8. Determine c(-2).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/(-10)*7\/(7\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -185*y + 5101 = 675 - 9449 for y.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -12150 + 60752\/5. What is the closest to 44 in 1\/8, q, 0, -1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29404757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 139587.\nAnswer: 3, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -61 divided by 81\nAnswer: -61\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 23 = -4*f + 3*m, -2*m = 6. Suppose -3*r - 3*h = -4*h + 1, 3*r - 1 = -h. Suppose r*o - f*o + 80 = 0. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8136 + -8136.2. What is the nearest to -22 in 0.2, 3, -2\/3, b?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 145805370 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 6 + 7 + (184 - 197)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that -5*k**2 + 760930*k - 2282745 = 0.\nAnswer: 3, 152183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 10897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19337 is divided by 305.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 3118650, 6237306, 9355960, 12474612, 15593262, 18711910?\n\"Answer: -p**2 + 3118659*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2*(-16 - 17\/2). Put -1, 3, -5, z in decreasing order.\nAnswer: z, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/48*40)\/(34\/153).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -14.795509 rounded to 0 dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-48)\/32 - 165\/(-10) - (-1 - 7)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23787 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 593935 is divided by 3473?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(240) - -1*sqrt(240))\/sqrt(12))\/(sqrt(32)\/(sqrt(8) - sqrt(8)*-2)).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-3 + (-6*sqrt(12)\/sqrt(4)*6 - (sqrt(243) + sqrt(84)\/sqrt(7))))**2.\nAnswer: 282*sqrt(3) + 6640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6788 and 4422382?\nAnswer: 8844764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 95 and 80?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24.13368 decades to millennia.\nAnswer: 0.2413368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 - -8. Let o be (6\/r)\/(3\/6). Suppose -c + o*h - 10 = 0, -12 = -2*c - 0*h - 2*h. Sort 4, c, 1.\nAnswer: 1, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00067693 to 6 decimal places.\nAnswer: 0.000677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 e, 1 p, and 1 q when four letters picked without replacement from {d: 1, a: 1, q: 1, e: 1, p: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express x**4 - 7*x**4 - x**4 + (-9*x + 4*x - 8*x)*(-3 + 3*x**3 + 3) - x**4 - 2 + 0 + 7*x**4 as f*x**3 + l*x**2 + s*x**4 + r + u*x and give s.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/(-4) - 595\/(-68). Let r be 6\/z*(-342)\/(-4). Suppose 28 = -5*a + 218. Calculate the greatest common divisor of r and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24749410260 - -0.0095\nAnswer: 24749410260.0095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -222*s**4 - s**2 + 109*s**4 - 2*s - 1 + 112*s**4. Let t(o) = -4*o**4 - 2*o**2 - 25*o + 67. Let w(f) = -2*a(f) + t(f). Differentiate w(b) wrt b.\nAnswer: -8*b**3 - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5283.57799 to the nearest 100.\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 35\/(-140) - (6\/8 - 1). Let q(v) = -v**2 + 4*v + 1. Let h be q(3). Let p = -925\/13 + 71. Which is the nearest to g?  (a) h  (b) 5  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/(-126) - 6\/(-27) - 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 11 + -2 + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the first derivative of 10*n**6\/3 + 19*n**5 + 145*n**4\/4 + 70*n**3\/3 + 200. Suppose t(d) = 0. Calculate d.\nAnswer: -2, -7\/4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rnrnrnrnnrnnrnrrnr. Give prob of picking 1 n and 3 r.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 9\/(-63) + (-1668)\/(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by 68.\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 12*j**3 + 4*j**3 + 0.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3779 = -18*v + 80*v - 52325. Calculate the highest common factor of v and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3470 is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 7*a**3 + a**2 - 10*a + 10. Give x(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 5\/3, 8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1316 + -1198. Are 1 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = 8 - 33. Let d be (39\/(-12))\/(l\/(-20)). Let q = d - 6. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 89.\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add -4800 and -3.\nAnswer: -4803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2055 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -10*i + 1 + i + 8*i. Let k be q(1). Suppose 5*z + 13 + 17 = k. Which is the biggest value?  (a) z  (b) 1\/5  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**3 + 3. Let z(b) = 2*b**3 - 5. Let w = -32 - -29. Suppose 0 = -4*f - 0*f - 20. What is f*a(i) + w*z(i)?\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -4043850 divided by 6\nAnswer: -673975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 divided by -27682.\nAnswer: 7\/13841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g, 1 k, and 1 x when four letters picked without replacement from yywggjkxygkgxy?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = 5*q - 429, 4*q + q + 5*i - 435 = 0. What is the greatest common factor of 14 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 8821336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(((-14)\/4)\/(-7)))\/24.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 4*y - 0*q - 1401, 5*y = -3*q + 1764. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -17275 divided by -3\nAnswer: 17275\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes before 6:22 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxvxvxxxvxxx. Give prob of sequence xvvv.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -363*c**2 + 335*c**2 + 146*c**2.\nAnswer: 118*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 147417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 3*a + 0*a = 0, -4*y = a - 15. Suppose 2*s + y*c - 25 = -2*c, -3*s + 4*c = -3. Sort s, 3, -3.\nAnswer: -3, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*h*r*t + 2*h*r - 8*h*t**2 + 2*r*t - 7*r + t**2 wrt t?\nAnswer: 2*h*r - 16*h*t + 2*r + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 84, 79, 62, 27, -32, -121?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2259381 or 4?\nAnswer: -2259381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 264556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -52, -63, -80, -103, -132, -167?\n\"Answer: -3*v**2 - 2*v - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gbgbggg. Give prob of sequence gbb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x**3 - 230*x**2 - 1324*x - 1744 = 0.\nAnswer: -109, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = 11*b + b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -81 - -86.72. Let m = d - 6.3. What is m rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in -591976, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.89 - -0.01. Let g = p + -1.8928. What is g rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 2 = -2*d, 6*q - 2*q - 2*d = -14. Let t = 9 + q. What is the derivative of -t*g**4 + 4 + g**4 - 6 wrt g?\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2833 is divided by 515?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 12 divided by 2687186\nAnswer: 6\/1343593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-1))**(13\/3)\/(p**1)**15 assuming p is positive.\nAnswer: p**(-58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*g - 8*g = -32. Suppose 2*y - g*x - 5 = -5*x, -y - x = -3. Let j be (24\/10)\/((-6)\/(-15)). Solve j + y = -2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2c7 - -4?\nAnswer: 2cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = -6*q - 321. Let r = q - -52. Let w(d) = d**2 + 3*d + 21. Calculate the remainder when w(r) is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2326 - 11500 = 813*t + 8712 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*j**5 - 430217*j**4 - 11*j - 19368 wrt j.\nAnswer: -80*j**3 - 5162604*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-288)\/2772*44*(-1)\/(10\/(-7))?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/2, 1, -1, -11, 5\/3.\nAnswer: -11, -1, 1, 3\/2, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**3 - 5*r**2 - r + 10. Let a be n(5). Suppose -10*b = -a*b - 7*b. Solve -5*j = 2*z + 20, -z = -b*z - 2*j - 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -3\/3449281 and -151\/3762852.\nAnswer: 41391372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -28 - -41. Let i = 105 - 40. Calculate the highest common factor of w and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4472.43 less than 10773?\nAnswer: 15245.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/179444 and 25\/29606.\nAnswer: 23507164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1395299 and 0.7092896.\nAnswer: 1395299.7092896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*x - 13 = 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5005650 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -35 - -59. Suppose 4*s + 8 = m, 4*s - 7*m + 2*m + z = 0. Which is bigger: 9 or s?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3718.5 - 3718. Let g = 0.1 + 0.1. Let s = 44\/3 + -14. Which is the closest to g?  (a) o  (b) -5  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j + 15. Let i be w(-14). Let z(r) = 5*r**2 - r + 1. Calculate z(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -343 - -309. Suppose -5*c = 125 + 35. Which is smaller: c or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 64\/10 - (-4)\/(-10). Let d(l) = l - 2*l + 2*l - a. Suppose 0 = -0*h - 4*h - 3*n + 18, h - 12 = 3*n. Let z(q) = -3*q + 17. Determine h*z(k) + 17*d(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2153*f*q**3*w**2 - 74*f*q**3*w - 3*q**3*w**2 + 113*q**3*w + q**3 - 14*w - 2 wrt f.\nAnswer: -2153*q**3*w**2 - 74*q**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1657 + -42)\/(-85)*(-14 - -15).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 1188405620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -146 + 681 = -5*h. Let v = -72 - h. Calculate the remainder when v is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (404\/(-303))\/((-12)\/(-18))*(-1)\/(-49)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 7333, 7335, 7337, 7339, 7341, 7343?\n\"Answer: 2*b + 7331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.60937 to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 277*d + 15246*d**3 - 2*d**2 - 15243*d**3 + 2*d**2 - 1 - 112*d to s*d**2 + v*d + p*d**3 + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -6*l - 6. Let u(t) = -t. Calculate o(n) - 5*u(n).\nAnswer: -n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kwkpfpjfhjfk. Give prob of sequence fjjp.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 28\/42*11028 + -13. What is the greatest common divisor of 1074 and u?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -69*s - 76. Suppose -3*h = 2*w + 30, -6*w + w + 75 = -5*h. What is the tens digit of p(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 5*t = 15, 4*l - 4*t - 12 = 7*l. Suppose l = 4*b + 8, -28 = 5*n + b + 14. Let u(z) = -z**3 - 7*z**2 + 8*z + 11. What is the tens digit of u(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p + 81 = 87. Let q = -356 + 355. Which is the third smallest value?  (a) q  (b) 4\/7  (c) 38  (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49 - 69 = -24*o + 74 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 37\/(-481) - (-52692)\/39?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -551 by 286.\nAnswer: -551\/286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 2*n - 5 + 3 - 3*n. Let j be -1 - (15 + (3 - 6)). Let x be 3*-1 + j + 10. Give b(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1431871472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.117 + -0.167. Let d = 215.6479 - 213.72. Let f = y - d. What is f rounded to 3 decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2419084 and 2167780.\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-2\/5)\/o*o)**(-49)*o**(2\/5)\/(o\/(o*o**(-1\/7))) assuming o is positive.\nAnswer: o**(139\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12562 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes before 10:04 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmt when three letters picked without replacement from {t: 11, m: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 144*b**2 + 180*b + 653. What is x(-4)?\nAnswer: 2237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -1.0008 - -0.12\nAnswer: -0.8808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 181 and 1164916.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 30 and 70500?\nAnswer: 70500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 10*h + 167. Calculate z(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*d**4 - 9*d**4 + 39*d**4 + (d**2 + 1 - 1)*(0 + 0 + d)*(-28*d - 50*d + 53*d).\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/(z**(2\/3)*z)*z)\/z*z)\/z)\/(z*z*(z**(-2\/7)\/z)\/z*z)*(z*z*z**2)**(-38)*(z**(8\/3)\/z*z**(-2\/13))\/(z**(-3\/8)\/z**(-3)) assuming z is positive.\nAnswer: z**(-112471\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -62 - 3?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*18\/(-120)*(988\/(-114))\/26?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -285*x**3 + 5*x + 94*x**3 - 4*x + 5*x**4 - 6*x**4 - x**2 - 2 + 0*x**2 as h*x + u*x**4 + c + q*x**2 + j*x**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffbfbff. What is prob of sequence bf?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -1145*o - 7. Let f(j) = -6490*j - 40. Give 7*f(v) - 40*x(v).\nAnswer: 370*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -13 + 7. Let h be ((-8)\/u)\/(2\/18). Let k be 10\/6 + 4\/h. Solve a + k = -a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 26 and 240?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28 + 20 - ((5 - -2) + (11 - 55)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6792*w**3 - 9079 wrt w.\nAnswer: -20376*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -12*i + 13*i + 2*b - 16, -80 = -5*i + 5*b for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 40 or -2\/61057?\nAnswer: -2\/61057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) 1  (c) -4  (d) 2\/3  (e) -26.479\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 1139 divide 21165514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 8392981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence buo when three letters picked without replacement from ybuowybmo?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 j when two letters picked without replacement from {p: 1, j: 3, s: 2, k: 8, m: 2, o: 1}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -760 + 181 + 579 + 15145*j**2 to the form o*j + c*j**2 + r and give c.\nAnswer: 15145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 517986783?\nAnswer: 3, 59, 975493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 39944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8137\/999 + 411\/37. Let t(g) be the first derivative of -18\/5*g**5 - x*g**3 + 0*g + 4\/9*g**2 + 13\/2*g**4 - 15. Factor t(w).\nAnswer: -2*w*(w - 1)*(9*w - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -2 + 0 + a + 0*a + 3*a**2 - 4*a**2. Let r(z) = 3*z**2 + z + 4. Suppose -14*o - 44 = 12. Let d(y) = o*p(y) - 2*r(y). Factor d(s).\nAnswer: -2*s*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve m = -5*g - 25, -2*g + 74 = -5*m + 57 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1022 a factor of 107723373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 113 = 3*a + 13*g, -2*a - g - 205 = -0*g - 219 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 671623 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 120 is divided by 54.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/((-18)\/(108\/(-2)))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*g = -5*g + 90. Sort 2, -3, g in descending order.\nAnswer: g, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 6*q**2 + 138*q - 3. Let g be n(-23). Sort 4, g, -27, 1 in descending order.\nAnswer: 4, 1, g, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -58.5 take away 0.370905?\nAnswer: -58.870905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1568\/1372 + 2\/(-14). Is -8\/223 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the second derivative of -d**4\/12 - 7*d**3\/6 - 2*d**2 + 33*d. Suppose 4*u = -3*t - 9, 2*u - 9 = u - 3*t. What is m(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the second derivative of -20*o**4\/3 - 39*o**2\/2 - o + 40. What is the derivative of d(z) wrt z?\nAnswer: -160*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p + 6. Let n be c(7). Let h be (0\/2 - n) + 2. Let a(k) = -k**3 + 4*k**2 + k - 4. Determine a(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * 190871\nAnswer: 38174.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**2 + 8*q - 13. Let j be s(-10). Suppose -2*t + j*t = 0. What is a in -16 - 12*a**2 + a**3 + 24*a + a**3 + t*a = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.0539 + -0.9461. Let u = -2 + 1.2. Let q = u - -1.3. What is the nearest to -1 in q, -1\/2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4191 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1177 - -10591\/9. What is the closest to d in 0.4, -30, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = -9 - 6. Let x be -8*(0 + c + 1). Solve -s + x = -5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the second derivative of 3*k**4\/2 - k + 1029. Let u(y) = 33*y - 1. Determine i(u(b)).\nAnswer: 19602*b**2 - 1188*b + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 503478, 1006994, 1510556, 2014164, 2517818, 3021518, 3525264?\n\"Answer: 23*z**2 + 503447*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -4796, -9580, -14364, -19148, -23932?\n\"Answer: -4784*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -146 = -106*z + 384 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73*k - 1302490 = -234*k. What is k rounded to the nearest one hundred?\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (72\/(-32))\/(((-6)\/128)\/(-1)*-4)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(-1\/5)*t)\/(t*t**(-2\/67)))\/((t\/(t\/((t*(t**(-1\/2)*t)\/t)\/t)))\/(t**(1\/8)*t)) assuming t is positive.\nAnswer: t**(6579\/2680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 1 m when three letters picked without replacement from {r: 5, m: 1, k: 3}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 19622 by -3.\nAnswer: -19622\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 222 and 312?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -808 + 808 + 2131*g**2 to k*g**2 + p + h*g and give k.\nAnswer: 2131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*n = -35*n - 470 - 62 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 18386*g + 1470875. Determine y(-80).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 51\/6242 and -83\/18?\nAnswer: 56178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11 - -12. Let y = d + 30. Suppose 7*i - y = -3. What is the third biggest value in -1, i, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 12494205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the first derivative of 3*j**8\/560 - 13*j**6\/360 + 2*j**3 + 8. Let y(x) be the third derivative of z(x). Find the third derivative of y(b) wrt b.\nAnswer: 216*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60896*j + 60499*j - 5161 = 0 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 0*i**2 + 6*i**2 - 2*i**2. Let s(g) = -2*g**2. Give s(c(w)).\nAnswer: -32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -10\/21 and 48\/2621.\nAnswer: 55041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3150644095?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**3 - 55*g**2 - 65*g - 639. Give n(-54).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes before 10:16 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4777 or -4781?\nAnswer: -4781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times -434606\nAnswer: -130381.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 547 + 435 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**2 + 14*h + 1053. Does 33 divide x(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:38 AM and 11:39 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 10*f - 2. Let w be k(3). Suppose 25*b = w*b - 282. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 90\/(-210)*(-5 - 2). Let u(i) be the first derivative of -2\/55*i**5 + 0*i + 0*i**2 + 0*i**k - 13 + 0*i**4. Factor u(r).\nAnswer: -2*r**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, o: 1, u: 2, w: 3, v: 1, b: 4}. What is prob of picking 1 w and 1 o?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**2 - 5*q - 1. Let r be p(-4). Let w be (10\/r)\/(6\/(-9)). Let u be (-187)\/(-85) + -1*2. Which is the third smallest value?  (a) -0.3  (b) u  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 16*h + 90 + 39*h + 5*h**2 + 13*h - 163*h = 0.\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/114784 and -149\/86088.\nAnswer: 344352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 48 by 22.\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -11 - -10 - (-4 + (-2 - -5))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11, 14, 71, 172, 329, 554, 859?\nAnswer: 1256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(80)*-4 + 1 + sqrt(80)*2*3.\nAnswer: 1 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6\/53 - -394\/265. What is the third biggest value in h, 0.1, 4, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123.7224852 rounded to 0 decimal places?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1*(3 - (-4)\/4). Let z(d) = d**3 - 4*d**2 + 2*d - 3. Let k be z(w). Factor 8*c - 5*c**2 - 4*c**2 + c**3 + 5*c**2 - k*c**3.\nAnswer: -4*c*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3011277 divided by -1319?\nAnswer: 2283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*6*(sqrt(85) + -2*sqrt(85))*2)\/(sqrt(1125) - (1*sqrt(1125)*3 + sqrt(1125) + sqrt(1125))).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9 + 8. Which is the closest to m?  (a) 5  (b) -2\/3  (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 5*q + 2. Give j(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dzbrudc. Give prob of sequence ucr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -5*d + 79. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxqxxqqxqqxxxx. What is prob of sequence qqxx?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 4*p = p + 19, 0 = t - 3*p - 13. Suppose -2*n = -2 + 6. Let g be (0 - 1) + 3 + n. Solve 4*a - t = -g*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1043971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 243 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -4*l**2 - 2*l**3 + 1 + 8*l**3 + 2*l**2. Suppose -4*w + 20 = 2*p, 2*w + 3 - 5 = 3*p. What is the least common multiple of w and v(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3295 divided by -659.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Are 34\/489 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-15)\/3 - -1) + (-63)\/(-15). Sort -0.3, -2\/7, q, 0 in increasing order.\nAnswer: -0.3, -2\/7, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -33?  (a) -5\/29  (b) 0.01  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -h, -4*g + 192 + 428 = -4*h. What is the highest common divisor of 539 and g?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*k + 43*k - 110 = 315 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 2*l + 32. Let o be y(-9). Solve 0 = -2*c + 4*a + o, 5*c + 5*a + 1 = -9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -48939632*g**4 - g**2 + 4214165*g + 1?\nAnswer: -1174551168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 60 = 5*k, -13*k + m = -9*k - 48. Let w = 15 - k. What is the highest common factor of 291 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 292843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3255\/(-7595) - 725\/(-385).\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.57621898 rounded to two decimal places?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 119, 415, 943, 1703, 2695, 3919?\nAnswer: 5375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -684280*f**4 + f**2 + 1836140*f?\nAnswer: -16422720*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1\/4, -4456984, 1\/2, -0.075, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g = -5*t - 20, -61 = 3*t - 19*g + 8*g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(153)*3 + sqrt(34)\/(sqrt(32) + sqrt(2)).\nAnswer: 46*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 158 times 1\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -108*w - 104392 = -97156 for w.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -3*y. Let z(v) be the second derivative of 0*v**2 + 3*v - 1\/2*v**3 + 0. Give z(x(p)).\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 26933.68ug?\nAnswer: 0.00002693368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the third derivative of -c**4\/24 - 142*c**2 - 2. Let b(x) = -6*x**2 - 115*x + 2. What is v(b(y))?\nAnswer: 6*y**2 + 115*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2213901\/20110 - 21\/2011. Let z = k + 110. Find the common denominator of -89\/8 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(-27))\/(104\/(-5148))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-675)\/315 + 1\/7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2798618?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 146798 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 145565 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 7149, 14115, 21077, 28029, 34965?\n\"Answer: -c**3 + 4*c**2 + 6961*c + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gsbsbgsssgsssgbggsb. What is prob of sequence ggs?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**2 + 7*v - 1392. Let w be u(34). Solve l + l = -2, w*q + 10 = -4*l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g**4 - 110*g**3 - 1695*g**2 - 4140*g + 5940 = 0. What is g?\nAnswer: -6, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 165 divided by -3\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*x + 3*i = -x + 18*x + 77, -23 = x - 3*i + 6*i for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 18215*h**3 - h**2 - h - 1582.\nAnswer: 109290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 156 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 95\/69 + 3397\/690. Find the common denominator of z and 1 - 3 - (-74)\/20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 * 55.\nAnswer: -16.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence il when two letters picked without replacement from lllilillilllbllll?\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2 + 0\/(-3) + (20 - 13). Solve z*y = 246 - 228 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 59055?\nAnswer: 3, 5, 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b\/b**(-35)*b**(-13)*b assuming b is positive.\nAnswer: b**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s - 18 + 0*s**2 + 5*s + 3*s**2 - 2*s**2. Let i be x(-7). Suppose 201 = i*a + 3*q, -3*a - 3*q = -5*a + 144. What are the prime factors of a?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 68591.18 millilitres?\nAnswer: 68.59118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from lvlllvbb.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 10, 15, 24, 37?\n\"Answer: 2*z**2 - z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -13 (base 8) to base 15\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 2 - 329*j + 49*j + 3 - 174*j. Is m(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6915 is divided by 2284.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**2 + 6*h + 6. Let c(q) = -2*q + 8. Let k be c(-5). Let t be 1248\/(-216) + (-4)\/k. Calculate v(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zczzckczkncczckznfc. What is prob of picking 2 c and 2 k?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the first derivative of z**5 - 5*z**4\/4 - 20*z**3 + 70*z**2 - 80*z + 63. Determine c so that w(c) = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 275*v. Let f(a) be the first derivative of -a**2 - 408. Determine x(f(k)).\nAnswer: -550*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 680411 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 45474\/101 < 451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -d - 5*m + 10, 2*m - 1 - 3 = 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -25 - -24.35. Let x = -3756.25 + 3786. Let h = x + i. Round h to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**5 - 54*j**4 + 72*j**3 + 4560*j**2 + 3600*j - 108000.\nAnswer: -3*(j - 6)**2*(j + 10)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 109\/63 - 13\/9. Let m = 31362\/7 - 4480. Which is the nearest to m?  (a) 1  (b) -5\/4  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -5*(-9)\/((-180)\/16). Let u(t) = t - 1. Let a(i) = -3. What is o*u(v) + a(v)?\nAnswer: -4*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in twenty-five quarters of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 10*k**2 - 1083*k - 3257. Determine g(-3).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -0*o - 2*o + 9, 0 = 5*o - 3*l - 18. Solve -6 = -o*z + z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1671391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**35*s)\/((s*s*s\/(s*s**(-3\/43))*s)\/s) assuming s is positive.\nAnswer: s**(-1508\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12)\/sqrt(3) - sqrt(4))\/sqrt(2) - (sqrt(200) + -3).\nAnswer: -10*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 88079 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 936 and 208.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b + 2*b**2 + 2*b)*(0 - 2*b**2 + 0) + 350*b**3 - 29*b**4 + 351*b**3 - 702*b**3.\nAnswer: -33*b**4 - b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/4 - ((5 - 12) + 9). Let t = 125967\/14 - 9002. Let u = t - l. Is u at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/(-26) + (-13305)\/(-39) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 712*u**5*w**2 + u*w**2 - 81*w**2 wrt u?\nAnswer: 14240*u**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/84 and -79\/168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 127680 and 13376?\nAnswer: 1404480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-150)\/30*9\/5. Is 3 a factor of (p + 7)\/((-2)\/68)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 2\/171, -1, -0.3?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1333 and -2761?\nAnswer: 368.0413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.15 - -1.85. Let j = 3.2 + -3. Let c = 0.7 - j. What is the third biggest value in 1, c, b, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-51)\/(-1420) - (-22159)\/(-443180)?\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*y**9\/y)\/(y\/(y\/(y\/(y\/(y\/(y**13*y)))*y))))\/((y\/(y\/y**15))\/(y**10\/y)))**2 assuming y is positive.\nAnswer: y**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 13*j + 1. What is the remainder when (-15)\/(-5) - (-104)\/(-1 + 3) is divided by s(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g - 5*q + 45 = 0, -5860*q + 11722*q - 23 - 49 = -5*g + 5861*q for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (0 + 2 - (28 - 25)) + 6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 71*s**3 + 3*s - 8*s + 7*s**2 - 72*s**3 - 12. Let y be w(5). Suppose -145 = 2*u + y. Is -79 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -27\/133 and 1\/646988?\nAnswer: 4528916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**2 - v + 5. Let w(f) = -1948*f**2 - 5*f + 15. Determine -3*a(z) + w(z).\nAnswer: -1945*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the first derivative of 0*h**6 + 0*h + 0*h**2 + 0*h**4 + 0*h**5 - 11\/7*h**7 + h**3 - 14. What is the third derivative of b(u) wrt u?\nAnswer: -1320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12593060*t + 16 - 16 - 12593046*t.\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qzf when three letters picked without replacement from {b: 4, p: 1, z: 3, q: 1, f: 5}.\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 630 = -r. Let w be r\/(-45) + 1\/(-3). Let v be (6\/5)\/(w\/(-10)). Is -5 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 - 1. Suppose 2*n = -5*l + 4*n + 21, 3*l + 3*n = 0. Suppose l*p - 4*s = 64, s - 20 = -t*p - 2*s. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 1012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -628 + 1?\nAnswer: -627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 896143 * -0.1\nAnswer: -89614.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 166\/(1 - 1 - -2) is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 7*l = -12*l + 58, 5*l = -w + 36. Suppose -3*b - b + 168 = 0. Calculate the remainder when b is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*t - 33 = 31. Suppose 11*p - 881 = 8*p - 4*j, 1143 = t*p - j. Does 23 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1020 a factor of 80197509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42754 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 152*v + 8 - 8 = 0. Let w(l) be the first derivative of l**4\/4 + l**3\/3 + 7*l - 14. Determine w(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - 8 - 0 - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(56) - sqrt(56)*1))\/(3*sqrt(32)) - (0 + (sqrt(7) + (sqrt(7) + sqrt(28)\/sqrt(100))**2)*-4).\nAnswer: 4*sqrt(7) + 1008\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 11239 and 26.\nAnswer: 292214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 11*b - 226. Let g(n) = -n**3 - 15*n**2 + 17*n + 52. Let v be g(-16). Does 17 divide l(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:34 AM and 4:17 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -43 - 16. Let h = g - -71. Solve -c - h = -3*c + 4*f, 0 = -4*c + f + 17 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 12*t - 6 + 6 + (0 + 3 - 2)*(-3*t + 4*t - 2*t)*(5 + 6 - 1).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 56 - 282\/5. Put -2, 0.5, 2, u in increasing order.\nAnswer: -2, u, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 70 - 66. Solve c - 3*g + 1 = 0, b = -2*c + g + 12 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -v + 5*s - 5, 2*v = -28*s + 30*s + 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 41 = 5*d, 3*b - 2 = 1. What is the least common multiple of 3 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2\/20021 + -40036\/60063. Which is the smallest value?  (a) 2\/11  (b) k  (c) 0  (d) 1  (e) -11\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 4 + m**2)*(7*m + 9*m - 2*m)*(-6 + 7 - 2) in the form h*m**3 + z*m**2 + o*m + x and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2892.00009896 + 2892. What is l rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-2)\/7*-1)\/(268\/11482058) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -56 + 3713 + -3692.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-225)\/396)\/(-25) - (-12)\/(-44)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 153 divide 2237166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 3*l = 42, 5*l + 3 + 109 = 3*q. What is the greatest common divisor of q and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*h**2 - 13*h**2 + 5*h + h - 4*h in the form q*h**2 + g*h + y and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -340403.8331 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 117391\/15 + -7827. Calculate the common denominator of s and 109\/2334.\nAnswer: 11670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p*p\/((p\/(p**7*p*p))\/p)*p\/p**(2\/41)*(p\/(p\/(p**(1\/14)*p)))\/(p\/p**(5\/7)*p) assuming p is positive.\nAnswer: p**(6737\/574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ten thirds of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-36)\/24)\/(21\/56)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1561422 (base 7) in base 12?\nAnswer: a5459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + ((sqrt(84)*2*-4 + sqrt(84) - sqrt(84)) + sqrt(84)*-2*-4)\/(sqrt(1728)*-1*-5))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r + 4. Give k(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 91 is divided by 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3871522 a multiple of 3466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -48878 - 8?\nAnswer: -48887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 27586 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 2148200 to the nearest 10000.\nAnswer: 2150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d - 2. Let w be 3\/(1*6)*-50. Let i = -13 - w. Suppose 2*g + 0 - 2 = 2*j, 4*g - 2*j = i. Determine r(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**3 + 10*v**2 + 36*v + 260. What is i(-11)?\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 93931 + 145217 = 28*k. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -117209\/2434 or -48?\nAnswer: -117209\/2434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - j**2)*((72*j - 27*j - 17*j)*(5*j - 2*j + 2*j) + j - j - j**2).\nAnswer: -139*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 8810887125+-0.5\nAnswer: 8810887124.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 16 = -r. Let m(g) = g - 3. Let i be m(r). Suppose -i*z + 18 = -7. Solve -5 - 15 = z*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (6*(-6)\/99)\/(-7 + 5). What is the nearest to -2\/11 in h, 3, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + 6790 + 63742 = -28*d. Which is smaller: -3207 or d?\nAnswer: -3207","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 30 and 339630?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*s + 81 = -4*s. Calculate the remainder when 830 is divided by -4*((-7)\/2 + s)\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -615 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**3*v**(-2)*v*v**(-1\/2)*v**(2\/17) assuming v is positive.\nAnswer: v**(55\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**3 - 3*l**2 - 4*l - 5. Let p(y) = -y**3 - 5*y**2 - 6*y - 8. Let r be (-12)\/(-1) - (-49 - -53). Give r*a(s) - 5*p(s).\nAnswer: -3*s**3 + s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 21.4015 centuries?\nAnswer: 2.14015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 104499921 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/(8\/(-28)*(-161)\/92)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**3 + 13*q**2 + 59*q - 429. Let r be m(15). Put r, -3, 0, 1, -5 in decreasing order.\nAnswer: r, 1, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1450796437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 5*n - 25 = -0*m, 5*m - 2*n = 152. Suppose -39 = -3*u + h - 3*h, -h = -3*u + m. Suppose -9*c + u*c - 262 = 0. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 82\/15 and 52\/1239?\nAnswer: 6195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 310143, 155 in increasing order.\nAnswer: -1, 155, 310143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 14 = -31. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(2\/5)*a)\/a*a*a)**(2\/11)*a**(1\/3)\/((a**(2\/13)*a)\/a) assuming a is positive.\nAnswer: a**(1321\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xoxrxkkixx. What is prob of sequence ri?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhtyyhhhtthhtty. Give prob of sequence hhy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.1 * 10038312.2.\nAnswer: -11042143.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -0.3, -0.23, 40.1, -2, -2\/3.\nAnswer: -2, -2\/3, -0.3, -0.23, 2, 40.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 p when two letters picked without replacement from zzuzuuvupuzuvuuu.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -3*o + 8 - o + 2*o + 285*o**2 - o. Let b be n(-4). Suppose 3*q + 5*g - 13780 = 0, -q + g + b = 6*g. Round q to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 - 6513?\nAnswer: -6514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, 39, 1\/6, -6 in decreasing order.\nAnswer: 39, 1\/6, -1\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.3, 1\/8, 2\/5, 7.46, 3?\nAnswer: 7.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*m**2 - 52250*m + 365995.\nAnswer: -5*(m - 7)*(m + 10457)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 152 = 13*d - 5*d. Suppose -4*y + 5 = -5*n, 0*y = 2*n - 5*y + d. Suppose -2*o = -3*o + 5. Sort -6, -4, o, n.\nAnswer: -6, -4, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*z**2 + 14 - 15 + 14*z**2 + (-1 - 1 + 4)*(1 - 1 - z**2) to t*z**2 + x*z + h and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -55*n + 545. What are the prime factors of q(-46)?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 22.19423um?\nAnswer: 0.002219423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**2 - 5*x + 4. Let t be f(3). Let q be 2\/((-6)\/(-119991)) - (t - 1). Round q to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the first derivative of -8*o**2 - 102 + 21\/4*o**4 + 5\/3*o**3 - 11*o. Let x(h) = -4*h**3 - h**2 + 3*h + 2. Calculate 2*p(v) + 11*x(v).\nAnswer: -2*v**3 - v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.59  (b) -0.5  (c) 2\/11  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 54 and 109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*1*sqrt(756) - -2*-1*sqrt(756))*-4)\/(-4*1*sqrt(1200)*1).\nAnswer: -12*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t - 7*t. Suppose t = -k + 5*i + 27, 0 = 5*k + 4*i + 5 + 5. Solve 0 = k*g - 1 - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3ff + -81de?\nAnswer: -7ddf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3366318)\/144*12\/(-27). Let p = -10389 + v. What is the common denominator of p and -161\/66?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -38, -95, -190, -323?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*c - 64 = 53 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.966 - 1.53. Let o = 4 + -4.106. Let k = o + f. Round k to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**3 + i**2 - 7*i + 1. Determine c(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 28.027 - 28.027025774. What is y rounded to six decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jkacakow. Give prob of sequence kwo.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = m + 377, -n + 176 = -0*m - 3*m. What are the prime factors of n?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*t**2 + 13729 - 13729 + 7*t)*(-3 - 5 + 6)*(-1 - 2 + 2)*(1 - 7 + 0).\nAnswer: 84*t**2 - 84*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a + 179*h - 9472 = 0, -19*a + 2*h - 4*h = -17*a - h - 63 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**2 - 18*l - 42. Let a be f(-21). Suppose 0 = 24*m - 5319 - a. What are the prime factors of m?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 6*o = 4. Let j be (o - 2) + (-3 - 0). Let k = j - -5. Which is smaller: 2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/18 and 37\/1197?\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -5*r**4\/4 - 48*r**3 - 1081*r**2\/4 - 921*r\/2 - 144 = 0.\nAnswer: -32, -3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 180 is divided by 88?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 6 + 4)*(-2*q**2 + q - q) - 3*q**2 + 0*q**2 - q**2 - 3*q**2 - 285*q**2 + 142*q**2.\nAnswer: -152*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0, 7, 3 in descending order.\nAnswer: 7, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**3 - 19*n**2 - 66*n - 1723. Determine g(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 55\/2 of a microgram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -d**4 - 1109*d**3 + 11159*d**2 - 34659*d + 33570 = 0. Calculate d.\nAnswer: -1119, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b = 2*b + 74. Let m = b + 68. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 - 2. Let y(o) = 55*o + 6. What is the units digit of y(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 56 = 3*f, -23 = -19*f + 15*f + 5*j. Let y(g) = -g**2 + 17*g + 22. Let w be y(f). Let i be 85 - 2 - (-1 + 2). Are w and i equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**3\/5 + 198*x**2\/5 + 10696*x\/5 + 128832\/5.\nAnswer: -(x - 244)*(x + 22)*(x + 24)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1188 and 30002060?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 28*w - 19*w - 14*w. Let i(r) = -3*r. Determine q(i(s)).\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 7.7, -4, -0.4 in increasing order.\nAnswer: -4, -0.4, 7.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 560*z - 9. Let c(j) = -3915*j + 63. Determine 2*c(p) + 15*t(p).\nAnswer: 570*p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53 + 31 + 8*g + 22.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(102)\/sqrt(294) - (sqrt(51)*4)\/sqrt(3))**2.\nAnswer: 12393\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*m**3 + 5*m**3 + 23 - 5*m**3 - 3*m**3 + 8*m**3 + 13*m.\nAnswer: m**3 + 13*m + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 3\/13, -3695, -1, -7.6?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:58 AM and 9:57 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 + 4. Suppose -5*a = -10, 767*t + 2*a = 771*t + 8. Sort r, t, 0 in descending order.\nAnswer: r, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 16262 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {g: 13, o: 5}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/((24\/(-18))\/4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 19, 5, -0.06, 0.4 in decreasing order.\nAnswer: 19, 5, 0.4, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 3*x - 14799997, -17209560 = 2*g - x + 12390439. What is g rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/((-80)\/6)*-2. Let x = -220311 - -1105419\/5. Let d = x - 773. Which is the second smallest value?  (a) 13  (b) d  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -127*v + 660 = -133*v. Let y = -98 - v. Calculate the remainder when 17 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 691919.4um to meters.\nAnswer: 0.6919194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(17) + -2)**2 + (sqrt(153))**2*3.\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the second derivative of -11\/2*c**2 + 0*c**3 + 0 + 7\/12*c**4 - c. Differentiate u(w) wrt w.\nAnswer: 14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3688493 or 3688497?\nAnswer: 3688493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3.69 + -0.41. Let v = r + 1.1. What is the nearest to v in 0.3, -1\/8, 5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9 - 1. Suppose 4*g + 8 + y = 3*h, -2*h + 26 = 5*g. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-1))\/((-6)\/(-74)*-40*(-40)\/14400)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 116782272 to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m**2 - m. Let g be w(2). Suppose -2*y + 4*p + 10 = p, -12 = -g*y + 4*p. What is the second derivative of 5*k + y*k**2 - 4*k**5 - k**2 - k**2 wrt k?\nAnswer: -80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 7*c**2. Let h(f) = 8887497*f**2. What is h(a(j))?\nAnswer: 435487353*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 43*t**2 + 11*t + 11. What is the hundreds digit of g(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m. Let x(b) = b**2 + 9*b + 8. Let i be x(-7). Let u be (-4)\/i - (-2 - 1\/3). Suppose -13 = u*z - 19. Give o(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 100 = 130. Calculate the common denominator of -3 + m\/(-9)*1 and 10\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, 458098, -2 in ascending order.\nAnswer: -2, 10, 458098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 2*f - 9. Let z be a(6). What is the third derivative of 2*j**4 - j**2 + z*j**4 - 3*j**4 + 3*j**2 wrt j?\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 4, v: 6, x: 9}. What is prob of picking 2 p and 2 v?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 47 = -3*s, -4*j - 4*s = 67 - 15. Let x = -78 - -236\/3. Is x at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 140, -417, 3, -2 in descending order.\nAnswer: 140, 3, -2, -417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -506560890 times -0.3\nAnswer: 151968267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 6.750955 centuries?\nAnswer: 675.0955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (1 + sqrt(80) + 5)*-2.\nAnswer: -8*sqrt(5) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l + 2*d + 78, 10*l + 4*d = 15*l - 390. Calculate the highest common divisor of l and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -46 - -49. Let w be 31*(-1)\/t*-27. What is the highest common factor of w and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_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: Let g = 6038 - -110713. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(24) - (sqrt(288)*-1)\/sqrt(12)) + sqrt(24))\/sqrt(12) + (-3*(sqrt(42)\/sqrt(3) - sqrt(14)))\/(1*sqrt(567)).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uhc when three letters picked without replacement from {f: 1, g: 2, h: 7, u: 1, t: 4, c: 3}.\nAnswer: 7\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 96 - 97. Let r(s) = 4*s + 4*s - 1 + 4*s. What is r(d)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*h - 5*d - 25, 17*h = 18*h - 5*d - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-7)\/(42\/32)*-3. Suppose 5 = 5*t - 2*t + 2*y, -4*t + j = -2*y. Suppose -t*o + o + a = -40, 4*o - a = 84. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:59 PM and 2:21 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19*f + 38*f - 38*f)*(1 - 3 + 4)*(0 - f**4 + 0).\nAnswer: 38*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -3\/2*q**2 + 0*q + 27\/2 = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j + 3 = 3*i, -1855*j - 16 = 2*i - 1859*j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*q + q. Let p = 29 - -33. Let a = 64 - p. Solve -z + a - q = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1929 a factor of 385539585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-25*2\/18*441\/(-735))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes before 3:34 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + y + 2875 = 4*y, 4*v - 5755 = -y. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((o\/(o*o**(-7)*o))\/o)\/o*o)\/o)\/(o**(-11)*o)*o*o*o**(1\/9)*o*o*((o**(1\/3)*o)\/o)\/o assuming o is positive.\nAnswer: o**(157\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 12.5582 kilograms?\nAnswer: 0.0125582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the first derivative of g**7\/210 + g**6\/120 - g**5\/60 - g**4\/24 - 5*g**2 + 2. Let j(m) be the second derivative of w(m). Factor j(r).\nAnswer: r*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -16*a**3 - 5036*a**2 + 2638924*a - 659416 = 0. What is a?\nAnswer: -593, 1\/4, 278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1910363*i**3 - 53822 wrt i.\nAnswer: -5731089*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes before 5:05 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/((-45)\/(-10)))\/((-84)\/28).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/8 + 9400\/160. What is the greatest common factor of t and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 0*z = 80. Let t = z - -22. Let y(p) = -p**3 + 5*p**2 + 8*p - 8. Let s be y(t). Solve -1 = -m + 2*x, 0 = 4*m - 5*x - s - 6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = -3*g - 2*o, -9*g + 4*g - 3*o = -10 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 637 in 1\/9, -0.13, -11.19, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p**(2\/21)\/p*p*p)\/p)**(-39)\/((p*p\/p**(6\/7)*p)\/p)**(3\/5))**(1\/19) assuming p is positive.\nAnswer: p**(-217\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 3, o: 4, f: 5, w: 2, u: 5}. What is prob of sequence ofuf?\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000009810931649 to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1 times -1071660\nAnswer: 1071660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2 + 166\/(-3 - (-5 + 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 788 is divided by 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -1248 divided by 1\nAnswer: -1248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 10923.5 and -4856?\nAnswer: 15779.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 16 = 5*g. Is 5 a factor of 1 - (g + 3 - 8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 875253 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(30)\/sqrt(2))\/sqrt(5) + -5.\nAnswer: -5 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**3 - 5*m**2 - 136*m - 537. Determine d(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2.34 - 2.24. Which is smaller: b or 50?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h = 3*g - 16, 0 = -4*g - 46*h + 49*h + 22 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.7693 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -5*t**2 + 8*t + 6. Let p = -8 + 14. Let s(j) = -11*j**2 + 15*j + 11. Let h(b) = p*s(b) - 11*r(b). Factor h(f).\nAnswer: -f*(11*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-468)\/1092*(12\/(-5) - -1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = -3*x + 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -7*w. Let u(q) = 177*q**2. What is b(u(n))?\nAnswer: -1239*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -51 divided by -342.\nAnswer: 17\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:22 PM and 9:21 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 236540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in 0, 0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + d = r + 25, r - 5 = d. Let u be ((-1)\/6)\/((-2)\/16). Find w such that -u*w + r + w**3 + 5*w**5 - 4*w**2 + 26\/3*w**4 = 0.\nAnswer: -1, -2\/5, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(77)\/(sqrt(77)\/sqrt(7)) - (3*sqrt(21))\/sqrt(3).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 99, 138, 177, 216, 255, 294?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l - 5*m + 1 - 4 = 0, -3*l = 3*m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 344 + 2 + 3 + 1. Let g = 423 - s. List the prime factors of g.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10110010100 + -1000?\nAnswer: 10110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**3 + 21*w**2 + 23*w + 63. Let i be h(-20). Solve c + 12 = 3*z - 4, 0 = -2*c - z + i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**2 + 3*n + 8. Let a be s(4). Suppose 2*u - 5 = a*h + 11, -2*u + h = -10. Solve 3*x + m + 6 = 4*m, -u*x = -m - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/(-21))\/((3648\/(-266))\/(-48))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 261*b + 3903. Give w(-15).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -4*z - 1. Suppose -5 = 2*b - 5*b - w, -2*w - 5 = b. Suppose -5*l + 2*i - 7 - 4 = 0, 0 = b*i - 9. What is the units digit of k(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12 - 21. Let q = -11 - p. Let x be (((-9)\/(-8))\/3)\/(18\/144). What is the nearest to q in -4, x, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/3*(-15 + 18). Let h be (z - -6) + (-33)\/11. Find the common denominator of -15\/23 and h\/(-20)*41 + 2.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3aa (base 14) to base 11.\nAnswer: -611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - 2.01. Let o = 73.4 - 77.4. Which is the closest to 0.1?  (a) -3  (b) d  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 + 5. Suppose -14 = -128*o + 132*o - 2*s, -o = s - 13. Let r = 4 - 8. Which is the fourth biggest value?  (a) j  (b) o  (c) 0  (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t**3\/2 + 1489*t**2 - 1783*t\/2 - 595 = 0 for t.\nAnswer: -2\/5, 1, 595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1464*b - 1 - 304*b + 591*b.\nAnswer: 1751*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3855116233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1419 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-4)\/(-8))\/((-2)\/4). Let y be 1 + (0 - (o + -2)). Suppose -y*p + 18 = -14. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 4152731, 4152728, 4152725, 4152722?\n\"Answer: -3*s + 4152734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 + 9)*(12 - ((10 - 7) + 7)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 721.683 - 722. Let y = f - -0.117. Which is the second smallest value?  (a) -5\/2  (b) 4\/7  (c) 1  (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 720793.6 centimeters to nanometers.\nAnswer: 7207936000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1622 - -4230. List the prime factors of t.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 374, 584, 932, 1418, 2042, 2804?\nAnswer: 3704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 + 3. Let f(y) = y**2 + 2*y + 1. Calculate the remainder when f(l) is divided by (1 - -11) + (-16)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1249?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4811678707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 16\/65598431?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 2*a**3 + 3*a - 1. Let h be 72\/16*2\/(-3). Let x(l) = 2*l**3 + 2*l - 1. Determine h*x(v) + 2*s(v).\nAnswer: -2*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 248, 496, 744, 992?\nAnswer: 1240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -78*v**4 + 5*v - 24. Let t(i) = 79*i**4 - 4*i + 24. Let f(k) = 7*t(k) + 6*u(k). Find the second derivative of f(b) wrt b.\nAnswer: 1020*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4392 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from mjpmjmpmm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**2 + 9*j + 14. Let d be l(-7). Let n be (-2)\/(-7) - 19\/42. Which is bigger: n or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*v**2 - 2*v + 493*v**3 - 251*v**3 - 244*v**3 in the form y + r*v**3 + m*v + d*v**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 - 58a2?\nAnswer: -58a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*b = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/3793 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + (-2 - -16 - (-62 + 12) - (2 - -8))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*f**4*m - 14756*f**4 - 2*f**3*m - 11281*f**2 + 19*f*m - 3*f - m wrt f.\nAnswer: 48*f*m - 354144*f - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-8330)\/(-3675) + (-4)\/15 - (-42)\/9. Find t, given that -1\/3*t**3 + 4*t + u - 3*t**2 = 0.\nAnswer: -10, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:01 AM and 5:37 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 363 = -s - 0*x, -2*s - 2*x + 786 = 0. Suppose 620 = 2*h - s. Is h a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 1\/41  (b) 2  (c) -2\/5  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 283*o**2 - 276*o**2 - 2 + (-5*o - 3*o + 3*o)*(o - 1 + 1) to x*o + y + t*o**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 54033 and 682452228?\nAnswer: 4777165596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5601085287 - 5601080044.686966. Let m = -5147.31303522 + k. Let f = -95 + m. What is f rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v**3 + 1938 + 9050*v**2 - 9052*v**2 - 451.\nAnswer: -v**3 - 2*v**2 + 1487","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 4*q - 7 = 0, -16 = -3*j + q + 2. Let u(o) = 7*o**2 - 31*o - 15. Let x be u(5). Solve x*s + j = -10 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 43 (base 7) to base 3.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -2*l + 12. Let n be u(0). Suppose -25 - 13 = -2*m. What is the remainder when m is divided by -6 - n*24\/(-32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1075, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 66*o**4 + 2*o - 5*o**2 + 0*o**3 + 71*o**4 + 2*o**3 + 12*o**2 in the form g*o + r + h*o**4 + a*o**2 + p*o**3 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:30 AM and 7:08 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**2 - 13*c - 23. Suppose -4*t = -3*z - 14, 11 = -5*z + 2*t - 31. Let w be a(z). Solve -3*y + 0*y + 4*u = -w, 2*y = -4*u - 22 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 5*j + 31 = 0, 23 = s + 61*j - 58*j. Solve -4*v - 4*w = -16, 0 = 2*w - s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 272.6183 litres in millilitres?\nAnswer: 272618.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 6b0 (base 14) to base 4\nAnswer: 110302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.157 times -1.429\nAnswer: -0.224353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 0 = 1. Let j = -324 + 179. Let x = j + 145. What is the nearest to p in x, -27, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**2. Let h(y) = -y**3 - 3*y**2. Let r be h(-3). Suppose r*w = -3*w. Let d(n) = 4*n - n + w*n. Calculate t(d(s)).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -69 - -97. Let f be 8\/y - (-3)\/14. What is the third smallest value in 0.2, 0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -6 + -337353?\nAnswer: -337361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 337872 or -2\/7?\nAnswer: 337872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 36932.19 nanoseconds to milliseconds.\nAnswer: 0.03693219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 - -27. Let w be -1*(4 - 2) + -38. Let j = 58 + w. Calculate the remainder when h is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5461 or -21843\/4?\nAnswer: -21843\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8359\/8 - 1040. Calculate the common denominator of k and 85\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -980*n**3 + 557*n**3 + 2 + 2 - 2619*n**3.\nAnswer: -3042*n**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the third derivative of -k**6\/90 + 2*k**5\/15 + 2*k**4 - 29*k**3\/2 + 75*k**2. Let m(d) be the first derivative of g(d). Factor m(r).\nAnswer: -4*(r - 6)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3\/3278 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**2 - 16*n + 15. Let p be i(13). Let v = 1258 + -1212. Calculate the remainder when v is divided by p\/(-6 - -3 - -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -88+11.6653\nAnswer: -76.3347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 177.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 63\/(-3255)*-31*(-3)\/(1*-3).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**2. Let g(r) be the first derivative of -r**3 + 16*r**2 - 18*r - 4. Let a be g(10). Let z(i) = -59 + 59 + 10*i**a. Calculate t(z(j)).\nAnswer: -100*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dzdz when four letters picked without replacement from vzzvzeehevdevdvhev?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.513 and 40?\nAnswer: -20.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1968.6015 - -1973.6. Let c = 5 - a. Round c to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**3 - 13*x**2 + 12*x + 9. Let m be o(12). Which is the closest to 0?  (a) m  (b) -1  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 111+1349961274797\nAnswer: 1349961274908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 39 + -36. Let s(c) = 8*c**2 + 4*c - 3. Let x be s(1). Let j(p) = -13 - p - 4*p + 3 + x. What is j(b)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 39340804, 39340808, 39340814, 39340822, 39340832?\nAnswer: 39340844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2.447 + 2.347. Sort -1.8, 2\/5, o, 3\/8.\nAnswer: -1.8, o, 3\/8, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6 + 0)*66\/(-9). Let q(b) = b**3 + 13*b**2 - 30*b + 11. Let v be q(-15). What is the highest common factor of u and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -94 plus 92550?\nAnswer: 92456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express j**3 - 5385*j + 2*j**4 + 3*j**2 - j**4 + 5388*j + 4 in the form f*j + x + k*j**4 + c*j**2 + y*j**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Total of 14 and -87.4.\nAnswer: -73.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*w**2 - 1515912*w + 143624324484.\nAnswer: 4*(w - 189489)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:33 PM and 9:53 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**6\/(l**(2\/7)*l)*l**0*l*l*l*(l*l*l**(-1\/2))\/l assuming l is positive.\nAnswer: l**(115\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1465\/11 - 133. Which is the biggest value?  (a) 0.4  (b) z  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, -7, -1 in descending order.\nAnswer: -1, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(114)\/sqrt(6) + sqrt(1900)*-3 + sqrt(114)\/(sqrt(18)\/sqrt(3))*-2 + 2)*5.\nAnswer: -155*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 32 and 800.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 - (-131 - -5 - (99 + -94)).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**17*m*m*m*m**5)\/(m\/m**(-1\/23)*m*m*m**3) assuming m is positive.\nAnswer: m**(436\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 328057.1l in millilitres?\nAnswer: 328057100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -10*a + 92. Let y be w(9). Solve -y*g - j - 1 = -4*g, 2*g + 19 = -3*j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**2 + 3*r + 1. Let j(m) = -m + 1. Let w(c) = -3*j(c) - s(c). What is the remainder when 47 is divided by w(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -5*g**2 + g**3 + 3*g**2 - 1 + 2*g**2. Let v be h(0). Sort 4, -3, v in decreasing order.\nAnswer: 4, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45386312467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-21*r + 13*r + 7*r + 15)*(-3 + 5 - 3) as u*r + y and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the second derivative of 0*k**2 - 1\/30*k**4 + k + 31 + 19\/15*k**3. Factor z(y).\nAnswer: -2*y*(y - 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1\/(-3))\/(-2 + 1). Let s = 2.21 + -1.65. Let o = -1.06 + s. Sort o, 0.2, 0, z in descending order.\nAnswer: z, 0.2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 3, -9\/68, -5, 11 in decreasing order.\nAnswer: 11, 3, 0.3, -9\/68, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is (-82)\/(-8) - 42\/(-56) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23738 not equal to 24344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 295245?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -31 + 36. Suppose 2*w = -4*h - w + 26, 4*h - 10 = z*w. Solve h*c - 13 = t, 5*t - c + 12 = -5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -7*y**3 - 8*y**2 + 4*y - 2. Let u(w) = -w**3 - w - 1. Let m(r) = 6*u(r) - v(r). Let l be m(-9). Suppose -l*b = 45 - 125. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the first derivative of -u**3\/3 + 5. Let x(r) = r. Calculate x(w(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*c + 2*c = 160. Let q = c - -23. Suppose 0 = 5*z + 2*p + 17, 5*z = -3*p - 18. Sort z, q, -1 in ascending order.\nAnswer: q, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -25*o - 258. Let v(z) = z + 1. Let t(p) = -d(p) + 2*v(p). What is the smallest common multiple of 8 and t(-8)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8198416.9 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-288*y**2 + 159*y**2 - y**3 + y + 125*y**2)*(-4*y + 4*y - y) in the form v*y + z*y**4 + a + f*y**2 + w*y**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*(-1)\/5*(-75)\/(-54)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 184 * 2459342\nAnswer: 452518928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1 + -1 - 2\/(-8). Let y = 421.5 + -422. Sort k, -5, y in decreasing order.\nAnswer: k, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1\/2, 0.252, 0.1, -1\/34, 1\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -289 - -306. Let x(d) = -23 - 2*d**2 - n - 20 + 63. Let p(q) = -3*q**2 + 5. What is 3*p(y) - 5*x(y)?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the third derivative of y**4\/24 - y**2. Suppose 50 = 6*g - 64. Let l(i) = -5*i**2 - 19 + g. Determine z(l(k)).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 26190179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 49071, 98160, 147261, 196374, 245499, 294636, 343785?\nAnswer: 392946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -96?  (a) 2  (b) 4  (c) 2\/7  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 + 0.2. Let j = -0.8 - v. Let o = 15.9 - 13.9. What is the closest to -1\/3 in o, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3, u: 12}. What is prob of sequence uu?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that 16*v**4 + 22777276*v**3 + 8106405479748*v**2 + 62823393994752*v + 42557702022864 = 0.\nAnswer: -711786, -7, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-40)\/120)\/(2\/(-696))*(-144)\/288?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*m**2\/2 + 17991*m\/4 - 37837\/4 = 0. Calculate m.\nAnswer: 157\/74, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h - 1. Let f be m(2). Let b be 2*(-2)\/4 + f. Let y(a) = 2*a**2 - 4*a**2 + b*a**2. Let q(c) = 2*c. Determine y(q(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 1 x, and 1 r when three letters picked without replacement from rrbrbbrrbbrrx?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + -14. Let r be h*(-2 + 4)*9\/(-2). Let i be ((-52)\/(-2) + 1)\/1. What is the greatest common factor of r and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5576 and 5736638.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2.9?  (a) 3\/5  (b) -2\/15  (c) -0.1  (d) -8  (e) -0.5  (f) 301\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*a + 131*u - 238, a - 40 = u - 6*u - 24 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1154469641289 and -0.32.\nAnswer: 1154469641288.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 - 421*b**2 + 420*b**2 + 5.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/78303 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the third derivative of a**4\/24 + a**3\/3 - a**2. Let i be n(-2). Solve m + 3 = -i for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 228026 is divided by 114003?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 153*s**2 + 336*s + 268. Let p(c) = 77*c**2 + 168*c + 124. Let k(u) = -13*p(u) + 6*w(u). Solve k(b) = 0 for b.\nAnswer: -2, -2\/83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 18*k + 43. What is g(0)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-36)\/(-27))\/(2\/(-15)). Let v(p) = -p. Let i(c) = 14*c. Let o(m) = n*v(m) - i(m). Let r(w) = 2*w**2. Calculate r(o(u)).\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 974004.1 meters?\nAnswer: 97400410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24766.\nAnswer: 2, 7, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*k**2 - 6*k wrt k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1945031\/9 - 216111. Find g such that 4*g - n - 4\/9*g**2 = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -124472550 divided by 2725.\nAnswer: -45678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6732 is divided by 3306?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13927?\nAnswer: 19, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 3, -6\/7 in decreasing order.\nAnswer: 3, -6\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -4*n - 1. Let d(h) = -4*h + 5 + 3 - 9 + h. Determine -7*d(z) + 6*w(z).\nAnswer: -3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -2\/7  (b) 303  (c) 38\/5  (d) -0.2  (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10537043 is divided by 663.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -n - 2. What is the closest to -2\/3 in -0.5, n, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*z - 21*z + 57*z + 38.\nAnswer: 59*z + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.0500464 - -0.05. What is j rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the second derivative of f**5\/20 + f**4\/3 + f**3\/2 + f**2 + f. Let o be t(-3). Suppose 0 = c + c - o. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 915, 863, 727, 507, 203?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cecce. What is prob of sequence ccc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16)\/(-6)*(-576)\/(-17664).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 2 j when three letters picked without replacement from {o: 9, j: 3, d: 4, v: 2}.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 306 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 2*i = -0*i - 18, 6 = 2*i. Suppose 26*v = p*v + 6. Find the second derivative of -24*j**3 + 0*j + v*j - 5*j - 2*j wrt j.\nAnswer: -144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v = -198*i + 624, -362*i - 4*v = -362*i + 24 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 15*p**3 - 105*p**2 + 14*p - 58. Give f(7).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - 216*n - 14616 - 4084 = 0 for n.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 2320087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**3 + 5*b**2 + 5*b - 1. Let j(k) = 2*k + 6. Let d be j(-5). Calculate h(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**2 - 7*c - 9. Let g be t(-5). Let h be 1*g\/(2\/(-2002)). Let x be (h - -1)\/((-4)\/8800). Round x to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 708 = 5*n + 33. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 93458 and 1328.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 37705537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2370769 by -2.\nAnswer: 2370769\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 344 = 4*v + 5*s, 4*v + s = 204 + 124. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2160342272.\nAnswer: 2, 11, 767167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that h**2 - 344*h + 29584 = 0.\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + (5 - (8 + 9 - 10) - 16) + 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 7578.49 nanoseconds?\nAnswer: 0.00757849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 5*q - 43, q - 6*q - 2*u + 46 = 0. Find the second derivative of -14 + 4*t**3 + 6 + 8 + q*t wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 1582542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(2\/3))**(-25)*((g**1*g)\/g)**(3\/31) assuming g is positive.\nAnswer: g**(-1541\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*d + 218 - 254 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 - 2142\/1056)\/(3\/6). Let w = k - 141\/616. Let h = 914\/7 - 131. Sort w, -20, h in decreasing order.\nAnswer: w, h, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4*18*(-2)\/(-16). Suppose 0 = 4*d + 1 - x. Suppose -i - 2*m = m - 5, -d*i + 10 = m. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 51 - (-16 + 5 + 28 + -40).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-655)\/40*2)\/((-234)\/(-156)) and 65\/3 - (-1)\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 19*p - 5)*(-4*p + 2*p + 3*p).\nAnswer: 19*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = s + 23082, 82*s - 83*s + 5 = 0. What is v rounded to the nearest one hundred?\nAnswer: 23100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**11*l)\/(l\/(l**(-2\/7)\/l*l)))**(-24) assuming l is positive.\nAnswer: l**(-1968\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16871605?\nAnswer: 5, 67, 50363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -2*y**3 + 4*y**2 - 6*y + 9. Calculate o(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -93531*a + 121809 wrt a.\nAnswer: -93531","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 202, 0.2, -2\/7, 0.08, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 - 0. Let n = -1.8 - v. Which is bigger: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the first derivative of t**4\/4 - 4*t**3\/3 - 7*t**2\/2 + t + 15. Determine z(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 637 and 40804309.\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 12, h: 6}. Give prob of sequence hhmh.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4, -1, -40, -131, -292?\nAnswer: -541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 39\/21726254 and 127\/9875570.\nAnswer: 108631270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 370284*m**2. Let t(p) = 7*p. Determine t(i(a)).\nAnswer: 2591988*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1900066, -1900071, -1900078, -1900087, -1900098, -1900111, -1900126?\n\"Answer: -x**2 - 2*x - 1900063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 66 + -64. Solve 0 = 4*k - r - m*r - 11, -4*k - 3*r = 19 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10 + -75 - -116) + 29\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9 + 21. Let r = m - 17. What is the greatest common factor of r and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the first derivative of -20*b**5 - 110*b**4 - 724*b**3\/3 - 264*b**2 - 144*b - 77. Find o, given that l(o) = 0.\nAnswer: -6\/5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 7*s**2 - 25*s - 195. Calculate g(-5).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 2*v**3 - 66*v**2 + 53*v - 795. Give a(32).\nAnswer: -1147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1844 is divided by 674.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-860 - 239 - 853)*(4*o + 0*o - o).\nAnswer: -5856*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 553 (base 8) to base 11.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the third derivative of 2*n**7\/105 + n**4\/12 - 4*n**2. Find the second derivative of o(t) wrt t.\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -382.7 - -551.6. Let o = -0.2 - 175.8. Let d = w + o. What is d rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 36\/425 and 73\/595.\nAnswer: 2975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (-376)\/(-38) + (-4)\/(-38) and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the first derivative of r**4\/3 - r**3\/6 + r**2 + 1. Let m(i) be the second derivative of c(i). Suppose k - 5*k + 4 = 0. Give m(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 176844?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/10*q**2 + 223\/10*q + 112\/5.\nAnswer: -(q - 224)*(q + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.1 + -2.1. Let v = -34.007 + 0.007. Let m = v - -34. What is the second smallest value in -4, m, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 373 + -192. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -222033031 (base 4) in base 5?\nAnswer: -21014010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 62743\/34947 - -1\/12708. Calculate the common denominator of d and 113\/10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 5*b**2 - b + 2. Let p(g) = 2*g**2 + 17*g + 13*g - g**2 + 5*g**2 + 3 - 31*g. Give -3*p(x) + 4*u(x).\nAnswer: 2*x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 179, 170, 159, 146, 131, 114, 95?\n\"Answer: -c**2 - 6*c + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8218*b**2*p**2 + 7905040*b**2 - 5358*b*p**2 - p + 1 wrt p.\nAnswer: -16436*b**2 - 10716*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x, 4*x = 2*w + w - 36. Find the common denominator of -41\/7 and 75\/w + (-2)\/3.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u. Let r(f) be the second derivative of 2*f**3\/3 + f. What is r(l(d))?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2930182 and 1132.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21, -5, -813, -6.\nAnswer: -813, -6, -5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 at least as big as -38129\/9160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5) - (-3 + sqrt(5)))*2)**2 - (sqrt(80) - -1*sqrt(80))**2.\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 + 49*o**2 + 292*o - 65. Determine c(-42).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**2 + c + 9. Let x(h) = 6*h**2 + 4*h + 1866. Determine -4*j(y) + x(y).\nAnswer: 2*y**2 + 1830","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the first derivative of r**4\/4 + 8*r**3\/3 - r**2 - 19*r + 238. Calculate m(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 106 is divided by 74?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 70\/16 + 7\/(-28) and -69\/28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -1 + (-2 - -3) + 195 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeeeeeeeee. What is prob of sequence eee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and -699.48203.\nAnswer: 699.48203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 379 a factor of 78287756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, f: 4, d: 1}. What is prob of picking 2 f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 - p + (3 - 3 + 2*p)*(1 - 3 + 0) - p + 5*p - 2*p + 2*p - 6*p + 3*p + 3 - 3 - 2*p + (-3*p + 1 - 1)*(4 + 0 - 2).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -76, -75, -62, -31, 24?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = 3*v + 1449, 0*z + z + 3 = 0. What is v rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) -37118  (c) 5  (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 6*v**3 - 101*v**2 - 136*v + 165. What is n(18)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 158320647 to the power of 1\/2, to the nearest integer?\nAnswer: 12583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*o - 4 = 164. What is the fifth biggest value in 2\/5, -0.9, -0.5, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -33 + 41 - (3 - (0 + -17))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes before 1:48 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide ((-308)\/(-84))\/(2\/528)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from vfyyyvhhbvybfbhyhbb?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -2.12+87539\nAnswer: 87536.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 13*b. Let i be d(9). What is the highest common divisor of 18 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2068*c - 373303 - 2913*c + 378200 with respect to c.\nAnswer: -4981","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -6637 - -12320?\nAnswer: 3461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -120 divided by 20.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.44 + -4.24. Let l = -3.7 - y. Which is the smallest value?  (a) -3  (b) -10  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 755053007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/1)\/(780\/364*3\/9*2).\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -3*c**3 + 572*c**2 - 3158*c + 2528. Determine n(185).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 11*t**2 + 11*t - 14. Give m(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4094 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 d be 6\/4*48\/54*-3. Let n(z) = -z**2 - 6*z - 7. What is n(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -38268*v + 191362. Give x(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -303433 or 36\/203?\nAnswer: -303433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: ((-32)\/32)\/((-950)\/(-20) - (1 - 1))\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -13*f - 1. Suppose -4*d = 3*q - 60, 4*d + 77 + 3 = 4*q. Suppose 5*g + q = 0, 7*x - 3*g - 142 = 2*x. What is the remainder when j(-4) is divided by x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 67342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.42, -3, -4, -0.3 in decreasing order.\nAnswer: 1.42, -0.3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -50\/211 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**2 - 1. Let t(y) = 4*y**2 + 6. Let k(r) = -6*a(r) - t(r). Let l(f) = 11*f + 5. Give l(k(g)).\nAnswer: 22*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -7301 - 110352?\nAnswer: -117653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 19*n + 7. Let o be j(8). Suppose 0 = 5*r + 14 - o. Suppose 8 = x - 4*p + r, -1 = -4*x - p. Put -3, 14, x in decreasing order.\nAnswer: 14, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 424 + -258. Let f = 632 - d. Let q = 463.89 - f. What is q rounded to one dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 477 is divided by (-3)\/(6\/(-10)) - (-9 - 18).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 16, n: 2}?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 445 + -1334\/3. What is the closest to k in -0.1, -1, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20580\/16*(-144)\/(-54) a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**2. Let f(h) = h**3 + 8*h**2 + 16*h + 10. Let w be f(-10). Let p be (-4)\/6 - w\/21. Let j(v) = 16 - p - 8*v**2. What is j(z(s))?\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4332415 and 22076.\nAnswer: 17329660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*l**2 + 41*l**2 - 20*l**2 - 3*l.\nAnswer: -5*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1903639 + 1904528.457. Let k = -889 + p. Round k to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ejec when four letters picked without replacement from {c: 3, j: 7, e: 3, b: 2}?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12257688*r**2 - 6128790*r**2 - 6128840*r**2.\nAnswer: 58*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1075 + 4*w**3 + 2176 - 1101.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -442146, -442145, -442144, -442143?\nAnswer: -442142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = -2*m + 7*m. Suppose 2*f - 3*f - 5*u = -m, -17 = -f - u. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3248662 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4284*j**6*o**2 + 54*j**6*o - 89*j**2*o**2 + 9*j**2*o - 77 wrt j.\nAnswer: 514080*j**3*o**2 + 6480*j**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(27)*-1 - -6*(-1 + sqrt(3)))*2 - (sqrt(15)\/(sqrt(5)*-1) + -2 + 3).\nAnswer: -13 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18, -68, -152, -270, -422, -608, -828?\nAnswer: -1082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3*4\/6)\/(22525\/(-1071) - -21).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 36 + -32 - (-1 - -5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**18\/x)\/x**(-27)*(x**(-2\/47))**(-22\/5))**(-32\/7) assuming x is positive.\nAnswer: x**(-332288\/1645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -465 + 467.5. Let r = -1 + 4. Let z = p - r. Which is the second smallest value?  (a) z  (b) -0.1  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 906, 1813, 2720, 3627, 4534, 5441?\n\"Answer: 907*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:14 AM and 5:53 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**3 + c**2 + c - 1. Let x(n) = -5*n**3 - n**2 - n + 2. Let m(a) = 4*a**3 - 2. Let f(o) = -2*m(o) - 3*x(o). Give -f(g) + 3*u(g).\nAnswer: -4*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 4*b**3 - 3*b**2 + 4. Let j(n) = -7*n**3 - 8 - n + 2543*n**2 - 2538*n**2 + n. Determine -5*f(l) - 3*j(l).\nAnswer: l**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -7*j**2 - 5*j - 5. Let a(v) = v**2. Let s(o) = 2*a(o) + y(o). Let u be s(-2). Let b(d) = d**2 - 24. Is b(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate i*q*w**2 + 2*i*q*w + 7*i*w**2 + 8*i + 2*q*w + 674*q wrt q.\nAnswer: i*w**2 + 2*i*w + 2*w + 674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - (12 - (8 + -7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 39904, 79820, 119748, 159694, 199664, 239664, 279700?\n\"Answer: j**3 + 39909*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1128858, -1128857, -1128848, -1128825, -1128782, -1128713, -1128612, -1128473?\nAnswer: -1128290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47151859?\nAnswer: 47151859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 PM and 8:50 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-102)\/(-85))\/(6\/15). What is the closest to -0.1 in -11, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -659*q = -12*y - 658*q + 157 - 578, -4*y - 143 = -3*q for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 28 - 28. Solve -12 = -3*f - v*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 51315 and 41052.\nAnswer: 205260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**3 - 8*u**2 - 9*u. Let y be s(-6). What is the tens digit of y\/(2\/(3 + -5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 202630 is divided by 83.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -7*i**3 - 2*i**2 + 1. Let n be b(1). Let m(o) = o**3 + 7*o**2 - 8*o - 13. Let j be m(n). Is -41\/3 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2422*u - 2468*u + 184. Suppose 0 = r + 3 - 8. Suppose -2 = -3*a + 4*k, 2*a + r*k - 24 = 2*k. What is the remainder when a is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6677 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -154, -309, -464, -619, -774, -929?\n\"Answer: -155*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -9*m + 23. Let u(k) = 44*k - 119. Let i(v) = -5*o(v) - u(v). Let p = -8 + 3. Let c(d) = -3*d - 7. Give p*i(h) - 3*c(h).\nAnswer: 4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001392891 to four dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:26 PM and 7:41 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*v**2 - 4*v**2 - 11*v**2 - 5*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -328*f + 448 - 19\/2*f**3 - 441\/4*f**2 - 1\/4*f**4 = 0.\nAnswer: -16, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -684*l - 565*l + 1311*l.\nAnswer: 62*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20\/9 + 70875\/(-29160)?\nAnswer: -5\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1872, -3594, -5316, -7038, -8760, -10482?\n\"Answer: -1722*f - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/16 and -107\/1077224.\nAnswer: 2154448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 10\/(-50) - (48\/40 + -2). Let i = -29\/20 - -113\/20. Factor -6\/5*h**2 - 12\/5 - s*h**3 + i*h.\nAnswer: -3*(h - 1)**2*(h + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*t = -29*t - 4. Let z(k) = k**2 - 1. What is z(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 15 - 9. Suppose -2*q + 7*q - 25 = 0. Suppose 0 = 4*h + 2*n - 12, 1 = 3*h - q*n - 8. Solve h*r - f = 4*c + 3, 2*r + 2 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*t**3 + 0*t - t + 0*t + 6*t wrt t?\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10880 + -8716. What is the remainder when h is divided by 198?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-6655)\/15075 + 2\/(-9) + 40\/60 and 41\/268?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/(((w*w**(-3)\/w)\/w)\/w*w))\/w)\/w*w)\/(w*w**(-2))*w\/(w*w*w**(-1))*w**(-3) assuming w is positive.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 663 - 631. Calculate the lowest common multiple of 14 and m.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0 + 1*529\/2. Let k = 338 - 68. Let g = r - k. What is the common denominator of g and 87\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2 - (-138)\/21 - 4. Let q = -0.57 + 0.26. Let b = q + 0.81. What is the nearest to 4 in b, s, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4418955 divided by -163665.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 100782 is divided by 74?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6 and 152991.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4 and 58241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 30 + -8. Suppose 2*w - 4*r = g, -w + r + 23 = -4*r. Suppose -t = w - 6. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p - 4 - 0. Suppose 4*s = -13 - 3, -w = -p*s - 13. Suppose 2*h - 8 = d, d = -0*h - 3*h + 17. Solve -1 = -d*z + w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/7  (b) 24\/13  (c) -0.344  (d) -3  (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000004136 to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 465088.\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-4) - (-142)\/(-40)) + 4.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l\/l**2))**(-13\/5)\/(l\/((l**7*l)\/l)*l*l\/(l\/l**(1\/3))) assuming l is positive.\nAnswer: l**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wjccjjwc. Give prob of picking 2 w and 2 c.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1806 is divided by 367?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 4499 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -227  (b) -6  (c) 1\/5  (d) -7658\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65\/7223523 and 57\/2765.\nAnswer: 252823305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3)\/(-8) - (-56641)\/104. Let u = 1475 - b. List the prime factors of u.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0004210996 rounded to five dps?\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((1 + -1)\/2)\/(-2). Let h(j) = -3*j + 0 + o. Let f(z) = 14*z**2 - 39*z**2 + 12*z**2 + 5*z**2 + 5*z**2. Calculate h(f(g)).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmmdbba. Give prob of sequence bdmb.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13 + 37. Let i = 109 - 34. What is the greatest common divisor of j and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/637338 and 85\/6.\nAnswer: 637338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 5420917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.317149 micrograms to kilograms.\nAnswer: 0.000000000317149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -50*p. Let z(t) = -24*t**2 + 36*t**2 + 10*t**2. Calculate z(q(j)).\nAnswer: 55000*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 2 - 7 + (-3 + 5 - 4)*(5 - 2 + 0))*((-2 - 4 + 4)*(-3 - 2 + 7) - 6 + 1 + 3)*(4*r**3 - 5*r**3 + 0*r**3) to p + c*r**2 + q*r + o*r**3 and give o.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3520 - -3586. Which is bigger: q or 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 18 = -2*q, -v - 2*v + 4*q - 48 = 0. Let r = v + 13. What is the nearest to -1 in -1\/4, 3, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -43 + 46. Solve -2*l + m*l = -3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 2549*r + 3. Let j be a(4). Suppose -j = 4*g - i, 5122 = -2*g - 6*i + 2*i. Let w = g - -3951. Round w to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -332 + 365. Let a be 9\/k + 21154\/77. Suppose 2*z + z + 5*j = 85, 2*z - 44 = 3*j. What is the highest common divisor of z and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*g - 3*s + 33, 0 = -57*g + 56*g - 13*s - 22 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -1869 less than 149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5.6 + -6.6. Put z, -9, 0.3, 1\/4 in ascending order.\nAnswer: -9, z, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 15*-5*88\/24. What is the remainder when v\/(-1) - 4\/(-4) is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**2 + 7*b + 5. Let u be p(8). Let a be 2\/((-2)\/(u + -1)). What is the second derivative of -g**a + 3*g**3 - 2*g - 3*g**3 - g**4 wrt g?\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 2512 = 2*i, 3*o = 30*i - 29*i - 1256. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x**2 + x + 10123. Let c(s) = 9*s - 239. Give c(a(l)).\nAnswer: 9*l**2 + 9*l + 90868","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the third derivative of 0*v**3 + 19*v**2 + 0*v + 0 + 1\/12*v**4. Let a(i) = -27*i. Determine a(z(f)).\nAnswer: -54*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 4852 greater than or equal to 630713\/130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 17 and 1649.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*w + 37 = -2*z, -83 = 5*z - 2*w - 79 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 101*g + 67. Let u(d) = 51*d + 33. Let x(i) = -6*k(i) + 13*u(i). Let t be x(7). Suppose -t = 5*h - 11*h. What are the prime factors of h?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -149\/258 and -51\/4.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.74675 litres in millilitres?\nAnswer: 7746.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 4, k: 10}. Give prob of sequence yykk.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 - -8. Let f = p + -7. Let w(m) = -m**3 + 9*m**2 + m - 13. Let z be w(9). Which is the closest to -1\/2?  (a) z  (b) -1  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 123918619, 123918614, 123918607, 123918598?\nAnswer: 123918587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 222773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the third derivative of c**6\/120 - c**5\/20 + c**4\/24 - c**3\/3 - c**2. Let o(z) = -z - 13. Let h be o(-18). What is the units digit of p(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6218 + -6217.5. Sort 1.14, d, -4 in decreasing order.\nAnswer: 1.14, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35998973 to the power of 1\/2, to the nearest integer?\nAnswer: 6000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -48 - -108. Let v be ((-2)\/4)\/(5\/o). Find the common denominator of v\/10*55\/(-4) and 97\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 23*o + 5 + 254*o**2 - 1 - 24*o - 82*o**2 to x*o + m + v*o**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -a - -32?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -32*f**5 + 4*f**2*r**2 - 102*f*r + 4*f + 2*r**2 + 12 wrt f?\nAnswer: -640*f**3 + 8*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h = 5*h + 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sfnn when four letters picked without replacement from {s: 1, f: 1, g: 1, n: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00102305 to 5 dps.\nAnswer: 0.00102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 488777816.\nAnswer: 2, 47, 1299941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2\/171 - -352\/855. What is the closest to f in -5, -30\/13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:39 AM and 2:45 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.80683 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*s - 3*o - 75, 2*o - 8721 = 18*s - 8771 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -36 + (76 - (34 - 4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 267 - 89. Let v = o - 316. List the prime factors of -2 + 0 + 1 - v.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 3*r**3 - 32*r**2 - 14*r + 23. What is o(11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, z: 1, j: 3}. Give prob of picking 1 z and 1 j.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-14)*(-160)\/(-4800)*-13755?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(208))*-6 + 0 + 6*6*sqrt(13)*-1*-1.\nAnswer: -12 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = -c + 2095. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 16 - -1?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-289)\/(-5) + 1\/5. Let s = 115 - y. Determine p so that 16*p**2 + 9*p - s*p + 11*p**2 - 12 = 0.\nAnswer: -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the third derivative of k**6\/60 - 43*k**5\/12 + 85*k**4\/24 + 318*k**2. Find the second derivative of r(l) wrt l.\nAnswer: 12*l - 430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*f**3 - 5530*f**2 - 499385*f - 493850.\nAnswer: 5*(f - 1190)*(f + 1)*(f + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 35\/2520*96*((-20)\/(-18))\/(8\/(-3)).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in three tenths of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = 3*t - 5 - 12, -3*j - 9 = -3*t. Suppose 0 = -t*m - 2*z + 886, 3*m - 8*z - 645 = -3*z. What is the highest common factor of m and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 4, 2190257, -29 in ascending order.\nAnswer: -29, -0.5, 4, 2190257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 89, 655, 2205, 5231, 10225?\n\"Answer: 82*j**3 - 8*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**3*s)\/s**0*(s**(-1))**(3\/10)*(((s*s**(2\/15)\/s*s*s)\/s)\/s*s\/s**(-7))\/(s**0)**(2\/33) assuming s is positive.\nAnswer: s**(71\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 752 (base 13) to base 12\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -4*a**3 - 13944*a**2 - 83556*a - 125280 = 0.\nAnswer: -3480, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.8 + -6.2. Let s = l - -6. Put 0.2, -5, s in increasing order.\nAnswer: -5, s, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 228 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the third derivative of d**6\/120 + d**5\/6 + 3*d**4\/8 + 7*d**3\/6 - d**2. Let q be h(-9). Sort -1, q, -5 in decreasing order.\nAnswer: q, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54 a factor of 30087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.32 - 0.02. Let w = r - 0.5. Let d = 1 + 0. Which is the third smallest value?  (a) d  (b) w  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (108\/(-90))\/(2\/(-130)). Let j be y\/(32\/(-10) - -3). Is (0 + 5)*1 - j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -534*v + 438*v - 4276 - 812 = 0 for v.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -2*z**2 + 5*z + 254. Let a be u(-10). Solve -r - 6 = -a*y - 2, 12 = -3*r + 5*y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the second derivative of 5*z**3\/2 - 3*z**2\/2 + 2*z. Let c be p(2). Suppose 4*r = c + 5. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mccdcdcccc. What is prob of sequence dm?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 14 = 3*l, -176 = -5*f + 4*l - 134. Solve -2\/7*x**f + 36\/7*x - 162\/7 = 0 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -343978*a**3 - 26*a - 351 wrt a.\nAnswer: -2063868*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/(15\/(-6) + 2). Let y = -4 + z. Let i = y + 4. Solve 4*j - c + 12 = 0, -j + 22 = -i*j + 5*c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 75.61086 nanograms in micrograms?\nAnswer: 0.07561086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 136 + -46. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 956.8594 - 944.47. Let d = i - 12.4011437. Let r = -0.0117 - d. Round r to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*(d*(d*d*d**(1\/7)*d)\/d)\/d)**(-1\/4))**31\/((d**(-1\/4))**(6\/11)\/(d**(-1\/9)*(d*d**4)\/d)) assuming d is positive.\nAnswer: d**(-14090\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - 14 = 3*w, 2*w + 5*a = -0*a - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 1) + (16 - 19)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 3*d + 6*d = 55, -2*r + 22 = 5*d. Calculate the highest common divisor of 187 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -6 + 26. What is the remainder when 46 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the second derivative of w**4\/90 - 28*w**3\/45 + 196*w**2\/15 - 2*w + 2. Factor b(y).\nAnswer: 2*(y - 14)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -2*k**3 - 52*k**2 + k + 22. Let d be t(-26). Is d >= -18\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i - 0 + 1. Let s = -2089\/1864 - 1\/233. Find the common denominator of s and i + (1215\/(-24))\/5.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*r**2 + 20*r**2 - 13*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 57 + w - w - 395*w**2 + 393*w**2 to the form k*w**2 + v + i*w and give v.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 - 21d82cb?\nAnswer: -21d82d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in fourty-one halves of a year?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*t**5 + 3*t**3 - 314*t**2 + 2572*t?\nAnswer: -80*t**3 + 18*t - 628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**3 + 50*w**2 + 159*w + 3. Let u be k(53). Let n(v) be the first derivative of -72*v - 2\/3*v**u + 12*v**2 + 5. Factor n(i).\nAnswer: -2*(i - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 2*f. Let s(t) = -113285516*t. Determine q(s(p)).\nAnswer: -226571032*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/84868 and 25\/207756864.\nAnswer: 207756864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-four fifths of a centimeter in micrometers?\nAnswer: 88000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-8)\/(-16)*6\/(-1). Let l(h) = -h**3 - 4*h**2 - h + 2. Let u be l(r). Let b(x) = x**2 + 4*x - 5. What is b(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6511, -25596, -57409, -101950, -159219, -229216?\nAnswer: -311941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1\/2)\/((-11)\/44). Let r(n) = 25*n**2 + 3*n + 2. Is r(y) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -193, -188, -179, -166, -149?\n\"Answer: 2*y**2 - y - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, z: 6}. Give prob of picking 1 l and 1 z.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2940 + -2936. Suppose c + 4 = 0, -4*c = -2*g + 47 - 19. What is the least common multiple of g and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -31 + 66. Is 36 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9\/6)\/((-4)\/(-144)*6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 56.1 + -56. What is the closest to c in 0.008, -1, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(1425)*5)\/(sqrt(36)\/sqrt(192) - (sqrt(363)*-2 + sqrt(363))).\nAnswer: -40*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*y**2\/7 - 640*y\/7 + 92.\nAnswer: -4*(y - 1)*(y + 161)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6 - 42\/(-7)) + (-6)\/54. What is the closest to 0.03 in 5, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) 1\/4  (b) 0.49  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2978*x - 75997 - 5384 - 61563 for x.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57 + 40 - 710*n**2 + 17.\nAnswer: -710*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 424577 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -368058*w. Let p(f) = 3*f. What is p(i(z))?\nAnswer: -1104174*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**0*i)**(1\/4)*(i*i*i\/i**(-1\/3))**36)\/(i**(-6\/11)\/(i\/(i\/i**(-6)))*i\/(i*i**(-7\/4)*i)*i\/i**0) assuming i is positive.\nAnswer: i**(2487\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4 + -4 + 4\/(-4). Let r be s\/(4\/(-10 + 2)). Does 16 divide (256\/r)\/(-1 + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 267523?\nAnswer: 5\/267523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 6525686 to the power of 1\/2, to the nearest integer?\nAnswer: 2555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that -b**4 - 7*b**3 + 30*b**2 = 0.\nAnswer: -10, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 4*j - 3 = 0. Suppose -j*x = -2*x + 11. Let v = x - -17. Does 2 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 14, 43, 92, 161, 250, 359, 488?\n\"Answer: 10*d**2 - d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, -3, 2\/132783, -0.5, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -2*z**3 + 2*z**2 + z. Let d be b(-1). Let t be d\/(2 - (-309)\/(-150)). Let f = t - -120. Calculate the remainder when f is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6421042.50999985 + 6421042. Let r = i + 0.51. What is r rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/10)\/(4\/(-25))*(-76)\/5\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/10*(6 - 1). Suppose -3*t + 2*t = -2. Let g(p) be the first derivative of -p**3\/3 - p**2\/2 + p - 66. Let s(a) = a. Determine t*s(r) + w*g(r).\nAnswer: -2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 588 and 49196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*r + 4 - 4 + (2 - 1 + 0)*(4*r + r - 2*r))*(-1 + 1 - 2*r).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3\/2, 255, 3\/4, -2\/13, -105, -0.02?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 92, 390, 878, 1550, 2400, 3422, 4610, 5958?\nAnswer: 7460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 122100320330 (base 4) to base 3\nAnswer: 110221210100012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 y and 1 o when four letters picked without replacement from lqloyylolyy.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 12 = 0, -88*m + 84*m = -3*l + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/2 < 5\/1442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.5 and 38295043.\nAnswer: 38295043.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -7*f**3 - 2*f - 1. Let q be 6\/(-4) - (-4)\/8. Calculate the lowest common multiple of 4 and x(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -4 + p**2 - 2 - p + 3 + 2. Is 16 a factor of m(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r - 2. Let k(t) = t - 1. Suppose -10*a = -14*a + 4. Determine a*k(b) - u(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 143 divide 58626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 231 and 2277.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 2) + -1 - (27 + -9 + -27 + 68)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -23357.825799931 - -23358.2158. Let g = f + -0.39. What is g rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.5 - 33.9. Let x = l - -33.7. Put 1, 0.13, x in decreasing order.\nAnswer: 1, x, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 135 and 132234?\nAnswer: 5950530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -94 + 84. Let v be (-1)\/((-24)\/40 - 4\/h). Let y(a) = -a + 6. Let r be y(6). Sort v, -1\/2, r in decreasing order.\nAnswer: v, r, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 59715\/10 - 15\/10. What is k rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*f**3 + 4*f**2*t + 2*f*t - 142*f wrt f?\nAnswer: -12*f + 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 479005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8362314?\nAnswer: 2, 3, 601, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3 - 1 - 32\/4. Let q be ((-2)\/(-10))\/(3\/j). Which is the nearest to 1\/2?  (a) 5  (b) q  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 170831.\nAnswer: 139, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -60\/31, 8, 0.09?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 3*y - 19. Let k(x) = -139719*x**2 - x. Give b(k(v)).\nAnswer: -419157*v**2 - 3*v - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6062*t**4*x**3 + 307*t**3*x**3 + 58*t*x**3 - t*x**2 - 2*t*x - 5*x**3 + 46*x wrt t.\nAnswer: -72744*t**2*x**3 + 1842*t*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32 - (11 - (11 - -50)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*j**3\/4 - 465*j**2\/4 - 5577*j\/2 + 2904.\nAnswer: 3*(j - 176)*(j - 1)*(j + 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = 3*y + 4315, -47*y + 44*y - 9 = 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.21  (b) -0.07  (c) -118\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(2)*-2 + 1 + 2 - (sqrt(6)\/sqrt(3) + 5 - sqrt(98)*2)))**2*3.\nAnswer: -66*sqrt(2) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 52094 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 513 and 4266?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 take away -1480.61522?\nAnswer: 1480.21522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 3 - ((9 - -6) + 8 - 13)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 533*l - 462 = 554*l for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -25 - 3348*r**2 + 6 - r**3 + 3349*r**2 - r**3 to the form i + o*r + n*r**2 + y*r**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-10)\/6)\/((-10)\/24). Let x(m) = m**2 + 4*m - 3. Let r be x(2). Suppose y*k = 75 + r. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 78024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1289, -2333, -3363, -4373, -5357, -6309, -7223, -8093?\nAnswer: -8913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes after 10:03 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 - 7.06. Let j = 0 - u. Let z = 165 + -164.7. What is the smallest value in z, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.08662 - -2.20538. What is p rounded to one decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f + 7. Let n be m(-4). Find the first derivative of -n*j - j - 4 - 5 - j wrt j.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from {d: 10, j: 3, k: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01 times -26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 85 + 22 = 0. Let l be 17\/y + 2\/(-3). Sort 5\/2, l, -2\/5.\nAnswer: -2\/5, l, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27538630459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -0*g - 3*g. Is -2*161\/4*g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/87, 3\/62, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -33561 + 33561. Let g(j) be the second derivative of 1\/6*j**3 - 32*j + m + 1\/2*j**2. Calculate g(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**2 - f - 1. Let t be j(3). Suppose -a - 2*q + 4 = -2, -5 = -t*q. Suppose 5*o - 6 = a. Solve -7 = o*c + 2*n + n, -4*n - 40 = -5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -2*d**2 + 5*d - 1. Let c(m) be the second derivative of 2*m + 0 + 2\/3*m**3 - 1\/6*m**4 - 1\/2*m**2. What is 6*c(g) - 5*w(g)?\nAnswer: -2*g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.44, 2, 2\/15?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (-76 - -137 - (2 + 2 - -3))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*j + 15 = -22*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 + 7)*10 - (-7 - -5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 89*o**2 - 31*o**4 - 89*o**2 + (52*o**2 + 245*o - 245*o)*(-2*o**2 + 3*o**2 - 2*o**2).\nAnswer: -83*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the first derivative of -11*n**3 + 5*n + 22. Let a(f) be the first derivative of u(f). Let h(x) = -2*x**2. Give a(h(y)).\nAnswer: 132*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 2) + (-12 - -2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -32321 (base 5) to base 14\nAnswer: -b3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - 6*p + 90 = 0, -573*p - 16 = w - 574*p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q - 6*q**2 + 4*q + 4*q**2)*(33*q - 33*q + 9*q**2).\nAnswer: -18*q**4 + 9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from yiyyyhhyihyhyhy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -2335194296 - 34\nAnswer: -2335194330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (3*1*(2 + sqrt(147))*1)**2.\nAnswer: 252*sqrt(3) + 1361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.258322 to 3 dps.\nAnswer: 2.258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 24*u**2 - 4*u. Let n(w) = -2*w. Determine n(f(k)).\nAnswer: -48*k**2 + 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/119, 2, -7\/2 in decreasing order.\nAnswer: 2, -1\/119, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -a3 (base 14) to base 4\nAnswer: -2033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + 2 = 0, 14*g + 3*l = 13*g + 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = 4*d - 11, 3 = 2*j + 3*d - 0. Let b be 6\/j - 1 - -2. Suppose -5*s + s - 2*t = -6, -3*t = b*s + 3. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 646 and 684.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(3\/7)\/(g**1*g))\/(g**0\/(g\/g**(3\/4)))*(g**(-1))**(-1)*(g**(-1\/2)\/g)**(4\/13) assuming g is positive.\nAnswer: g**(-285\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58976?\nAnswer: 2, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 21000120110 (base 3) in base 6?\nAnswer: 2543450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -33*j - 6*j**3 + 33*j + (-5*j + 0*j + 3*j)*(j**2 - 3*j**2 + 0*j**2) - 4*j**3 - j**3 - 2*j**3.\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m**2 + 2*m - 5. Let w be j(-4). Suppose -a + w*a = -10. Let d = a + 13. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 4*o + x + 2, x = 1. Suppose o = -k + 3 - 2. Solve k = -2*a + 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -3\/38 and 30784\/(-10878) - 7\/(-3).\nAnswer: 5586","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (3 - (1 + -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 372162217?\nAnswer: 7, 149, 356819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6346\/3 + 2097. Let z = p - -118\/7. Find the common denominator of z and 67\/27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 3665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 74407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 * 2.65\nAnswer: 1.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/4 and (99\/(-22) - -5)\/(71\/35)?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 49\/(-14)*12\/(-21). Solve 3*b - l + 10 = -x*b, -2 = b + 2*l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 118.284761026 - 1?\nAnswer: 117.284761026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*l**3 + l**2 - l**2)*(-2 + 1 + 0) + (4*l**2 - 2*l**2 + l**2)*(-l + l + 4*l) in the form p*l**2 + a + y*l + d*l**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -39.9663747 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21797, -21491, -21193, -20909, -20645, -20407, -20201, -20033?\nAnswer: -19909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -795, -883, -1019, -1203, -1435?\n\"Answer: -24*p**2 - 16*p - 755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 124075 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 3 l when four letters picked without replacement from {l: 9, y: 2, s: 5, a: 1, f: 1}?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3176\/3573*9\/2. Let l(m) = m + 1. Let f(w) = -w**2 - 6*w - 3. Let a(r) = f(r) - l(r). Let t be a(-5). Sort 3, g, t.\nAnswer: 3, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 579 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 -46*v**5 + 7843*v**4 - 8*v**2 - 24*v - 2993?\nAnswer: -2760*v**2 + 188232*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 - 1 + 4)*(0*m + 3*m - m)*(-2 + 2 - 1) in the form i*m + k and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 2 - 4)*(-2 + 6 - 3)*(1213 + 643*k - 1213).\nAnswer: -643*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 1300*c**2 - 2*c + 3. Let z be r(1). Suppose 311 = -5*j + z. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 780?  (a) 0.4  (b) 4  (c) -26  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/((-28)\/112*(-32)\/28*1)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (50*p**2 + 59*p**2 - 116*p**2)*(1 - 4 + 1) in the form y + w*p + n*p**2 and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -0*l - 3*l - 6, 5*y + 28 = l. What is the greatest common factor of 24 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**2 - 3*f - 2. Let k(r) = -170*r**3 + 10*r**2 - 70*r - 18. Let i(o) = -10*d(o) + k(o). What is the second derivative of i(l) wrt l?\nAnswer: -1020*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*b + b**3 + 26 - 26 to q + t*b**2 + u*b**3 + o*b and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1263944?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**2 + 139*r + 3274. Let c be u(-30). Solve -23*a + c = 50 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 89*j - 25*j + 2 - 18*j**2 - j**2 - 30*j - 31*j - 11*j**3 to a*j**2 + q*j + v + n*j**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxclcbf. What is prob of picking 1 f and 1 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 148 and 310.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-1)*p\/(p**7\/p*p*p*p) assuming p is positive.\nAnswer: p**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 6*b = 4*b + 455, 0 = 3*p - b - 1330. Let w = -443 + p. Let g(o) = -2*o**2 - 2*o**3 + 2*o + 2*o**2. Give g(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 4*f + 172. Let i(o) = o + 57. Calculate -8*i(l) + 3*t(l).\nAnswer: 4*l + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand d**5 - 2*d**5 - d**5 + (-5*d + 3*d + 0*d)*(-2*d**4 + 2*d**4 + 2*d**4) + 1397*d - 806*d**5 + 1587*d**5 - 786*d**5.\nAnswer: -11*d**5 + 1397*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u - 36 = -5*c, -u + 20*c - 23*c = -8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -323 times -1\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 164711.2s to nanoseconds.\nAnswer: 164711200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 67330 + 1105?\nAnswer: 68435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 78 and -131.06?\nAnswer: -10222.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(17\/3)*d**(-1\/2)\/d assuming d is positive.\nAnswer: d**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17939?\nAnswer: 17939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 9, y: 5, i: 2, c: 2}. Give prob of sequence iu.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2024322120 (base 5) to base 14.\nAnswer: -799382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27 (base 9) to base 5.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 943 and 1290323?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 16 - 10. Suppose 2*h + v = 3*h. Suppose -2*m + h = -m. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:38 AM and 12:42 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -9698952 divided by 4?\nAnswer: -2424738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add together -66231 and 3425.5992.\nAnswer: -62805.4008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -33641377.7413 - -33651518. Let z = 10114.2586973 - c. Let l = 26 + z. Round l to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -14\/1308161 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30659*v**2 + 4*v + 2*v**3 - 10*v + 6*v.\nAnswer: 2*v**3 - 30659*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -6*q. Let u(j) be the first derivative of j**3\/3 + 5. Calculate u(n(w)).\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -534, -2, -32 in decreasing order.\nAnswer: -2, -32, -534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -591679150 divided by 118335830?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b**2 + 6799*b + 537520 = 0. What is b?\nAnswer: -6719, -80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -3*p**2 + 4*p + 4. Let v(o) = -o - 1. Let b(x) = h(x) + 4*v(x). Let m(j) = -8*j**2 - j**2 + 8*j**2. Calculate b(m(u)).\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -1\/4642?\nAnswer: -1\/4642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = 4*j - 6*s - 33047, 0 = 3*j - s - 24788. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3880415, 7760835, 11641255?\nAnswer: 15521675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**2. Let i(o) = -46 + 22 - 48*o**2 + 24. Calculate n(i(p)).\nAnswer: -2304*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s**4\/2 + 533*s**3 - 15878*s**2 - 533*s + 31755\/2 = 0. What is s?\nAnswer: -1095, -1, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/(8 + -3) + (-3)\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 59.18449 weeks to hours.\nAnswer: 9942.99432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 104 and 1565642.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (5\/570)\/(9*9\/1458)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.1 + -2.36. Let t = s - -0.26. Do t and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 14*m - 20. Let s(l) = 5*l - 7. Let k(v) = 6*o(v) - 17*s(v). Let t be k(1). Which is the nearest to 2?  (a) 5  (b) t  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20.5 - -20. Let r(q) = q**2 - 6*q - 5. Let b be r(6). What is the nearest to 1\/3 in 4, b, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -380, -473, -714, -1175, -1928, -3045?\n\"Answer: -12*z**3 - 2*z**2 - 3*z - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8712824 by 2.\nAnswer: -4356412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 17320884947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-108)\/15 + (14 - (-27)\/(-3))?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1076722169.\nAnswer: 983, 1095343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2 or -265.11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = 5*a - 105665, -9*a - 4*b = -10*a + 21124. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3\/98540 and 43\/363840?\nAnswer: 4729920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - 4*q - 80 - 0, 0 = 2*x - 5*q - 55. What is the highest common divisor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5782 by -5.\nAnswer: -5782\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 - -11001?\nAnswer: 11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3.0127 - -3.007908. Round s to four decimal places.\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -4 + 7 + 2 - 9*l - 4 + l**2. Give t(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 3*h - 25. Give r(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by 52\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.27 - -66.73. Is d not equal to 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.06 + -0.56. Let s = f + -0.5. What is the closest to 0.2 in s, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 402*b**3 + 1042*b**2 + 404*b**3 - 807*b**3 - 319*b**2 as i*b + y + a*b**3 + d*b**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 2*r - 8. Let h be -3*(2 - 52\/12). Let b be n(h). Let u(k) = -k. Let j(m) = 8*m + 9. Let q(g) = b*u(g) + j(g). Differentiate q(a) with respect to a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 55*p**3 - 11*p**3 - 20*p**3 + 982*p**3 + 911*p**3 - 2145*p**3 + (3*p - 3*p + 2*p)*(3*p**2 - 5*p**2 + 4*p**2).\nAnswer: -224*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3 - (0 + 6\/2). Let s be (-3 - l\/3) + 6. Factor -3*n**3 - n + n + s*n**2.\nAnswer: -3*n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5\/3 or -3\/5992?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 525*i - 12051 = 512*i. What are the prime factors of i?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, 2\/15, -1\/9, -13, 4, -0.5, -101293?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-95)\/(-76)*(-1728)\/(-4860)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -449.7302 to the nearest integer.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f. Let z(n) be the third derivative of 0*n + 0*n**3 + 5\/4*n**4 - 15*n**2 + 0. Give z(o(g)).\nAnswer: 30*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 30100 and 252.\nAnswer: 270900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 641 - 641.005. Which is the third smallest value?  (a) 1  (b) -5  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.01*2280691\nAnswer: 22806.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -98*p + 13. What is z(2)?\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 6*y + 1. Let v(i) = 28*i + 1. Let n be v(1). Suppose 3*k = 3, 2*k = 2*u + 3*k - n. What is the remainder when r(4) is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/24382 and 54\/803.\nAnswer: 268202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 35725771 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 21 * -672.\nAnswer: -14112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -2*x + 10. Let u be g(7). Let a be 13\/2 - ((-14)\/4 - u). Suppose -a*d - 15 = -11*d. Solve 5*s - 5*y - 25 = 0, -2*y = -d*y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 + 2 = -2*z. Solve -z*t = -0 + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -53100, -53102, -53104, -53106, -53108?\nAnswer: -53110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 293409 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -3*f - 2. Let o be j(-2). Let s = -2 + o. Solve -s*a - 11 = -1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*s - 17 = 13*s + 4*b, -2*s + 8 = -b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1*(15\/(-24)*-4 + -2). What is the nearest to 0.14 in -2, 2\/7, o?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56533 (base 10) in base 7?\nAnswer: 323551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1740\/(-140) + 228\/532 - (-356)\/30.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3183?\nAnswer: 3, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 41 + -40.95. Let k = h + 10.15. Let o = k + -3.1. What is o rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1572684 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -7 + 5150960?\nAnswer: 5150955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.08 + 2.92. Let d = -295 - -297. What is the biggest value in d, y, 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -53, -4, 1, 3.\nAnswer: -53, -4, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**3 + 14*w**2 - 50*w + 42. Calculate f(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**3\/5 + 6*z**2\/5 - 8*z\/5.\nAnswer: 2*z*(z - 1)*(z + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*c - j = -8*c - 26, -3*j + 8 = -c. Calculate the highest common factor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 divided by 94?\nAnswer: 25\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3.07826 litres?\nAnswer: 3078.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((sqrt(36)*-1 + sqrt(36))\/sqrt(12))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36 - 12 - 11 - 13 - 3*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -p**5\/5 - 4*p**4\/5 - 2*p**3\/5 + 4*p**2\/5 + 3*p\/5 = 0?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -5, -244, 2\/5, -1\/9, -177, -0.4, 1\/62?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 601*l**3 + 510*l**3 + 506*l**3 - 150*l**3 - 3 - 54*l**3 in the form c + m*l**2 + z*l + h*l**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 368 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -55\/5287?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -109 + 97 = 12*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that -20*g**2 + 15*g + 68*g**3 + 30 + 60 - 73*g**3 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 31341 + -11230424?\nAnswer: -11144033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 206 = -3*l - 2*k + 201, 3*l + 40 = 5*k for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ja when two letters picked without replacement from {t: 3, a: 1, j: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-9)\/6*(-10)\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1098 + 309*y - 1098)*(3*y + 0*y - 5*y)*(0*y**2 - 2*y**2 + 4*y**2)*(5 - 1 - 2).\nAnswer: -2472*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1303881, -2607761, -3911639, -5215515, -6519389?\n\"Answer: j**2 - 1303883*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -5570 take away -8?\nAnswer: -5562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -34*q. Let g(d) be the first derivative of d**2\/2 - 17. Determine v(g(z)).\nAnswer: -34*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d - 3 - 3. Factor -3*o + 6*o**4 + 5*o**3 - 11*o**2 - d*o**3 + 2*o**2 - 1 + 4.\nAnswer: 3*(o - 1)*(o + 1)**2*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*o + 1525 = 4*o. Let i = o + -735. Round i to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 74a2 (base 11) to base 16\nAnswer: 26b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 712 >= 712?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (12\/18)\/((-5)\/(-30)). Suppose -103 + 391 = a*t. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2 + 0 + 2 - 2. Suppose 3*t = 4*k - 2, -4*t + 4*k - 14 = -3*t. Solve -4 = v*f + t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -14*l**2 + 29*l + 8. Let r(w) = w. Let g(c) = -2*m(c) + 10*r(c). Find h such that g(h) = 0.\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from davda. Give prob of sequence vad.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10835 - -10835.6223. Round g to 2 decimal places.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 93*y = 108*y + 180 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -500, -1000, -1500?\nAnswer: -2000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-11 - -17)\/30)\/((-3)\/5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 2, n: 2, g: 13, r: 3}. What is prob of picking 1 n and 3 g?\nAnswer: 572\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.279 - 0.105. Round k to 2 decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 145 + -103. Let z = x - 24. What is the lowest common multiple of 8 and z?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - p = -8. Suppose 5*n = -3*l + 334, -p*l = 4*n - 216 - 50. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h - h + 224. Let s(q) = -q**3 + 4*q**2 + 4*q + 3. What is the remainder when h is divided by s(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-612 - -568) + (90 - -3)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(2\/13)*l**(-1\/2))\/((l\/l**(-2\/21)*l)\/(l**(-6)*l)) assuming l is positive.\nAnswer: l**(-4063\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52840 is divided by 166?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19566 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -23?  (a) 4\/11  (b) -2\/3  (c) 4\/15  (d) 1  (e) 11\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 5 - 1)*(-2 - 2 + 2)*(1 + 0 + 3)*(-u - 5*u + u) to s + h*u and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/3  (b) -5  (c) -3  (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -163.3 + 125. Let r = x - -32.3. What is the second biggest value in 0.2, r, -2\/5, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2351*4.\nAnswer: 0.9404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -14 + (8021 - 7960).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 108 and 72?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -215247.3 rounded to the nearest 1000?\nAnswer: -215000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes after 3:21 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0*((-10)\/(-6) + -2). Let q(g) = -2*g**2 + 19 - g**2 + g**3 + 2*g**2. What is the remainder when 35 is divided by q(t)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 53\/11 + -1 - (-2)\/11. Suppose -3*m = 2*m - 3*v + 3, 4*v - k = 4*m. Do -3\/8 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 + 4. Find the second derivative of j**2 + q*j**2 - 3*j - 4*j**3 - 6*j**2 wrt j.\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -3*k + 3. Let p(b) = -b - 3. Let y(u) = 3*u + 17. Let f(a) = -5*p(a) - y(a). Determine 5*f(l) + 3*i(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -n - 4*o, -5*o + 0 = -25. Solve -u + 12 = 2*u - f, -u + 15 = -n*f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - (-2 - -4) - 16) + (-1329 - -1355)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 14356 + -14373. Which is the third biggest value?  (a) -0.5  (b) t  (c) 0.07  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 0*s = -18. Let l = s - -18. Suppose 0 = -x - l*x + 63. Is x a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a day in minutes?\nAnswer: 6840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -254 - -250. Let q = -1381\/65 + 107\/5. Which is the second smallest value?  (a) q  (b) g  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 54 + -53.9. Let t = 0 - 0.2. Is b at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 610, -86, -0.5, 2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 6 - (-4 - (2 - 7))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.2 - 4.2. Let g(x) = 2*x + 3. Let s be g(-4). Let o = 613\/20 - 121\/4. What is the second biggest value in -4, c, s, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9635191 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Round -0.00004173775 to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put together 90 and 1974504.\nAnswer: 1974594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-322*h**2 - 153*h**2 + 36*h**2 - 411*h**2 + 57*h**2)*(-4 + 4 + 1)*(h - 4*h + 4*h).\nAnswer: -793*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0205443306 to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 742 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -38*a**2. Let z(r) = -2*r**2 + r + 1. Let n(w) = 27*w**2 - 15*w - 15. Let t(m) = -2*n(m) - 30*z(m). What is o(t(u))?\nAnswer: -1368*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -81 + 86. Suppose -d*v - 129 = -4*j, 0 = 3*j + 4*v - 47 - 42. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 6169, 49160, 165785, 392860, 767201, 1325624, 2104945, 3141980?\n\"Answer: 6136*a**3 + a**2 + 36*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -177 = -g + 4*g. Let w = g + 70. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1 and 9919.\nAnswer: 9919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 minutes after 5:07 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**2 + 15*v + 59. Give t(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.1 + 3.9. Let h be (-2)\/((-128)\/792) - 12. What is the second smallest value in h, -1, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.3660945506 to four decimal places.\nAnswer: 0.3661","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 147694 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 20*b - 157. Let j be d(12). Suppose 0 = -75*o + j*o - 24. Solve 0 = o*g - 6*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -26716163, -26716170, -26716177, -26716184, -26716191?\nAnswer: -26716198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-10719)\/162 - -70 - 1*2\/(-12). Solve 5*b + 3*x = 21 - k, -4*x + 19 = 3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 552*(-2)\/(-10) + (-3)\/(-5) is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -271*n**2 - 13 - 4 + 17.\nAnswer: -271*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(((-36)\/27)\/((-3)\/(-18)))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-234195)\/3603*2\/10?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {k: 3, m: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -155*c**4 - 103*c**3 - 1188*c**2 + 4*c - 2.\nAnswer: -3720*c - 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3 - 0) + 6*(1 - 0). Suppose -j = -q*j - 5*s + 58, -3*s = -4*j + 90. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 60107292?\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -3103, -3113, -3123, -3133, -3143, -3153?\n\"Answer: -10*n - 3093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*-6*(sqrt(78) - -1*sqrt(78)*2 - (6*(2*sqrt(78) + sqrt(78) - sqrt(78)) + sqrt(78)))\/((-2*sqrt(18))\/sqrt(3) - sqrt(54)*-6).\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*h + 305 = z, -h + 2*h + 143*z = 158*z + 89 for h.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 5 = 2*m + a, -25 = -4*m - 5*a. Suppose m = -19*w + 13*w - 24. Let g be -2 + (w - -4 - -2). Solve 8 + g = -2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r + f + 56, 5*r = 2*f - 43 - 10. Let q be 6516\/(-5 - r)*2\/3. Suppose q - 84 = -5*o. Is o != -129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*j**4\/7 - 409412*j**3\/7 - 4298184*j**2\/7 - 12279940*j\/7 - 5116600\/7 = 0. Calculate j.\nAnswer: -51166, -5, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -31 + 31 + 3*d. Let w(m) = 2*m. Calculate y(w(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 205016 + 3 - (14 - 4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1524 is divided by 35?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 220940 + -220931. Suppose 5*t + 4 = -1. Which is the closest to f?  (a) 0.07  (b) 1  (c) 2  (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5361947000 rounded to the nearest one million?\nAnswer: 5362000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -3*s - 4*s. Let h be 9\/(27\/(-4))*-3. Sort -4, s, -2, h.\nAnswer: -4, -2, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f*(f\/f**(-3))\/f*f*f*f**(-10) assuming f is positive.\nAnswer: f**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 2451383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -837\/14 + 422\/7. What is the nearest to 0.1 in 170, -3, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1070.107 to the nearest ten.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -5*n**2 + 8*n. Let b(r) = -14*r**2 + 23*r. Let p(w) = 2*w**2 + 8*w + 7. Let l be p(-5). What is l*o(f) - 6*b(f)?\nAnswer: -f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -6 + 12*q - 7 - 9*q. Determine v(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 36858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78766 is divided by 3053?\nAnswer: 2441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 41, 3, -15, -11.\nAnswer: -15, -11, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 144 and 240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.5?  (a) -2  (b) 2  (c) -1161\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 104851 is divided by 34940.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6.67*5.\nAnswer: 33.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 take away -53491?\nAnswer: 53486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 55340 + -101?\nAnswer: 5523a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10651585\/6 or 1775265?\nAnswer: 10651585\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zpazaazppzzzzzzzza. What is prob of sequence zaz?\nAnswer: 55\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*y\/(y\/((y**(-15)*y)\/y))*y)\/y*y)\/y*y*y)\/(y*y**9) assuming y is positive.\nAnswer: y**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3.245 + 2.745. Which is the closest to -3\/22?  (a) 3\/4  (b) -2  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in -5, 5\/6, -2\/5, 21, 0.1?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1824575 and 8659?\nAnswer: 12772025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2256 and 14055632?\nAnswer: 42166896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qnn. What is prob of sequence nq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, f: 1, s: 2, h: 2}. What is prob of sequence ghs?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 77*q + 715 + 174 = -50*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 67 + -334\/5. Let t(w) = -w**2 + 12*w + 44. Suppose -l + 12 = i - 1, -3*l = 6. Let m be t(i). Which is the nearest to -0.2?  (a) m  (b) v  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2996 + 3000. Let p(t) = 15*t**3 - 7*t**2 - 13*t + 7. Let y(v) = -8*v**3 + 4*v**2 + 7*v - 4. Determine d*p(h) + 7*y(h).\nAnswer: 4*h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.068?  (a) -0.02  (b) 1\/3  (c) 0.4  (d) 100  (e) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 5*b**2 + 1396*b - 86118. Calculate j(52).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 190.87 to 0 dps.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 4*p - 28, -2*p - p = 2*q - 6. Suppose -4*u + 46 = 2*l - p*l, 4*l - 34 = -u. Let m = u + 14. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**3 + 6*x**2 - 3*x + 4. Let t be o(-7). Let q(r) = 14*r + 2. Let w be q(-3). Let s = t - w. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -5 - -2 - -9 - 8 - (408 + 0). Sort 4, 2, m.\nAnswer: m, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-37)\/4*36\/6. Let f = 58 + y. Let g = 4 - f. Which is the nearest to 2?  (a) g  (b) -2  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-12)*24\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of (11\/4 - 2) + 1260270\/88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n = 7959*w - 7959*w + 4, -w - 29 = 9*n - 4*n for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -150 - 6 = -3*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -21 - -11?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -70533780*l**3 - 2*l**2 - 126325502 wrt l.\nAnswer: -211601340*l**2 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 554296 and 9400?\nAnswer: 651297800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-62)\/(-8) + (-8)\/(-32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*b - 2491308 = -2489724 for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 13*j**2 + 9*j - 9. Suppose 21*c - 54 - 135 = 0. Let g(a) = -2*a**2 - 4*a**2 + 0*a - 6*a + 2*a + 4. Determine c*g(t) + 4*k(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 3*f - 73 + 73 + f**2. Calculate d(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/15 and 52\/177.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*k = -3*o + 21, o - 9*k + 13*k = -7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 81, -1, -5, -89?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 41413, 165878, 373403, 663988, 1037633, 1494338, 2034103?\nAnswer: 2656928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -8, 3962, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4c93 (base 15) to base 14.\nAnswer: 5d50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 1, e: 4, l: 2, q: 2}. Give prob of picking 1 q, 2 e, and 1 l.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 284127589?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the third derivative of b**7\/504 + b**6\/36 - 7*b**5\/8 - b**4\/4 - 7*b**3\/3 + 3*b**2 + 24. Let t(v) be the second derivative of x(v). Factor t(q).\nAnswer: 5*(q - 3)*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*r**2 + 175*r + 170.\nAnswer: 5*(r + 1)*(r + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 30261, 121089, 272453, 484353, 756789?\n\"Answer: 30268*k**2 + 24*k - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:35 AM and 9:27 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 62 + -124. Do -62 and j have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1485 divided by 6\nAnswer: 495\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -43020*x**6 - 102*x**2 + x - 48 wrt x?\nAnswer: -5162400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d\/d**3)\/(d*d*d*(d*d**0*d*d)\/d*d*d))\/(d**4*d\/(d\/d**(-4\/9)*d)) assuming d is positive.\nAnswer: d**(-95\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1937*o - 116218*o**2 + 116216*o**2 - 939*o - 998*o.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/4 - (-306)\/8. Suppose -46 = 5*a - 196. Suppose 4*z + a = m. Solve -z = o - 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -100100111110011100011000 (base 2) in base 3?\nAnswer: -200020110020020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 28443.276 * 4.\nAnswer: 113773.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -107 - 39*k + 87 + 76*k - 121 - 39*k to x + l*k and give x.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-11 + 1 - 1)*(17*f + 33*f + 11*f) to w + y*f and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 2*z**2 - 5. Let x(j) be the third derivative of j**5\/60 - j**3\/3 - 47*j**2. Give 2*o(q) - 5*x(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 170803353.\nAnswer: 3, 7, 43, 189151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by -115.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4809827135?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -937403611036348 - -937403068920280.999683. Let a = 542116319 + m. Let s = -252 + a. What is s rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6351013?\nAnswer: 17, 23, 37, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 25599 and 162975.\nAnswer: 26238975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 47 - 95\/2. Let w = 67111\/328 + -4950\/41. Let h = w - 84. Which is the closest to 5?  (a) k  (b) h  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 910188573.\nAnswer: 3, 7, 884537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -7 (base 15) to base 13\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -270676749 + 136*t**2 + 270676749.\nAnswer: 136*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0*8\/(-120)*3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 + 3)*(-2 + 2 + 2*j) - 1 - 2*j + 1 - 1 + 1 + 2*j - 3*j - j + 5*j + (-3*j + 0*j + j)*(0 + 0 - 1) - j + j - j + 75*j + 122*j + 163*j - 14*j.\nAnswer: 352*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -82*x + 57*x - 125 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3735 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 174847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -255 + 259. Suppose -l*s = 5*v - 45, -12*v + 8*v + 5*s - 5 = 0. Solve 5*a - v = -5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(2\/3))**(-10))**40 assuming o is positive.\nAnswer: o**(-800\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence by when two letters picked without replacement from {e: 7, y: 3, a: 1, b: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {i: 5, e: 5, t: 9, z: 1}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 7, i: 2}. Give prob of picking 2 i.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2009\/369 + 1*16\/(-36). Let k = 64 + -35. Solve -2*m - 9 = -q, -o*q + 0*q + 2*m = -k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, -22, 0.4, -1?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -20579, -42277, -63981, -85691, -107407, -129129?\n\"Answer: -3*w**2 - 21689*w + 1113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 577938 is divided by 5603?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q, 2 r, and 1 a when four letters picked without replacement from armqqrmrmr.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.5, -0.11, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 2\/3649 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.009657871137 rounded to seven decimal places?\nAnswer: -0.0096579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 5*b**2. Let d(z) = 380*z - 26561. Calculate d(w(f)).\nAnswer: 1900*f**2 - 26561","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -499 + 225. Let l = 979\/350 - -1\/350. Calculate the common denominator of l and ((-2)\/4)\/((-6)\/x).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i**4\/9 - 139040*i**3\/9 - 2413871996*i**2\/9 + 30625923680*i\/3 - 97035102578 = 0. Calculate i.\nAnswer: -34779, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*p + 44*p - 225 = 0. What is the remainder when 210 is divided by p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*r = -4*y - 33, 9169*r - 9164*r = y + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*g + 3*g + 26*g**2 - 8*g)*(g + 3*g - 5*g).\nAnswer: -26*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes before 6:55 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n - 59 + 19 = 0. Let o be 1\/n*-5*4. Suppose -1175\/3*a**3 - 725\/3*a**2 - 20\/3 - 200\/3*a - 245\/3*a**o - 875\/3*a**4 = 0. Calculate a.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4111, 8194, 12277, 16360, 20443?\nAnswer: 24526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 4*w - 30 = 0, -w = 2*f - 4*w - 12. Suppose 21 = f*v - 3. Solve -u + 22 = -4*a, -v*u - 10 = 4*a + 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 12 = 0, 4*p - 22 = 2*p + 2*j. Let g be 22\/4*8 - 2. List the prime factors of 2\/p - (-240)\/g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-125*t - 123*t + 274*t + 25)*(3*t**2 - 6*t**2 + 0*t**2) in the form b + y*t + j*t**2 + a*t**3 and give j.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the second derivative of j**4\/24 - 8*j**3\/3 - 122*j**2 - 3*j + 12. Let o(y) be the first derivative of z(y). What is o(10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9 - -29. Suppose 4*a - f = -5*h, 3*h + 3*a - 38 = -14. Let l = 15 - 4. Calculate the least common multiple of h and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/8*(-2)\/(-15).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -478 at most -8122\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*1*(-4 + sqrt(7) + 0 + -1))**2.\nAnswer: -40*sqrt(7) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10)\/(-36))\/((-10)\/6*123\/615).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 9\/(45\/20) + 4. Let j(g) = -1 - 10*g + o*g - 2*g. Determine j(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (7\/(-70))\/((8\/(-870))\/2). Let o = w + -21. Calculate the common denominator of o and (-2)\/(2*(-4)\/(-190)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 4*w - 9. Let p(i) = i - 1. Let s(o) = 6*o**3 + o**2 - 29*o + 29. Let r be s(1). Suppose -5*k + 2 = v - r, 3*k - 11 = -2*v. Give k*q(u) - 6*p(u).\nAnswer: -2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*1*(-2)\/(-2)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 775, 0, 6, 2, -2, -8 in decreasing order.\nAnswer: 775, 6, 4, 2, 0, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/(c*c*(c*c**6)\/c)*c\/((c\/c**(-3))\/c*c))**(1\/2))**20)**(-7) assuming c is positive.\nAnswer: c**700","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -m**3 - 3*m + 3*m**3 - 6*m + 4*m - 2 as z*m**3 + x*m**2 + l + n*m and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 45 + -36. Let t = c - 3. Suppose t*j - 95 - 55 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -205606\/33 + 29441935\/4686. Let q = 105\/2 - a. Let n = q + -79\/284. Which is smaller: n or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 - 1000101001?\nAnswer: -1000100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**2 + f**3 + 0*f**2 + 0 + 0*f - 2*f - 4. Does 2 divide l(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (70\/21)\/((-1)\/3). Let x = d + 18. Calculate the greatest common factor of x and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -2*u**2 - 49*u. Let p(r) be the third derivative of 0*r + 1\/12*r**4 + 0*r**3 + r**2 + 0. What is q(p(m))?\nAnswer: -8*m**2 - 98*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 1\/4, 13, -7, 20\/17, -19 in descending order.\nAnswer: 13, 3, 20\/17, 1\/4, -7, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.51 and 210591306.\nAnswer: 210591305.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -452027\/1347940 - -1087\/2785. Calculate the common denominator of b and 11\/12.\nAnswer: 7260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 3 + 7 = 0. Let v be y\/6*3 - 0. Let d(j) = j - j**v - j. Let o(z) = z. What is o(d(k))?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2196, 2165, 2066, 1863, 1520, 1001?\n\"Answer: -6*v**3 + 2*v**2 + 5*v + 2195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -18 - -45. Let c be 4*(0 - 1)\/2 + -63. Let k = c - -72. What is the remainder when a is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 3 = -r. Let d be 5*(-1 + r + 1). Differentiate d*u + 2 - 3*u - u wrt u.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-12)\/10)\/((-6)\/20). Let o = -11\/3 + d. Suppose 0 = 3*a - 9 + 6. Is a < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-5 - 0)*(-5)\/50. Let f = -0.03 + 0.08. Let x = f - -0.05. Which is the closest to z?  (a) 0.2  (b) x  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25609*o - 5*f - 46 = -25613*o - 13, 47 = -4*o - 11*f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 a factor of 7349818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 335, -17, 0.2, -1 in descending order.\nAnswer: 335, 0.2, -0.1, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -103 + 2981391239?\nAnswer: 2981391136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wssphwe. Give prob of sequence sww.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 144.2027606 rounded to 1 dp?\nAnswer: 144.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 17 = 4*q, -7 = -q - 3*r + 10. Solve 10 = 5*y + 5*b, y - 4 = q*y - 2*b for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(1\/2))**4)**16*(u**(2\/17)\/((u*u**(1\/5))\/u))\/(u**(-2)\/u**(-4\/7)) assuming u is positive.\nAnswer: u**(19841\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**2 - 253720*t - 8046729800.\nAnswer: -2*(t + 63430)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 276 + -273. Suppose -h - 2*u + 33 = 0, 23*h - 27*h + 112 = q*u. Calculate the remainder when 119 is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.5853387226 to 2 decimal places.\nAnswer: -1.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5 - 8. Let m = 22.3 - 21.9. Which is the third biggest value?  (a) p  (b) 4\/3  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b - 8180*f - 7 = 5*b - 8185*f, -13 = -b - 5*f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*d**2 - 81*d - 378.\nAnswer: -3*(d + 6)*(d + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the third derivative of s**6\/120 - 3*s**5\/20 - 5*s**4\/12 - 14*s**2. Let n be t(10). Suppose 0 = -0*c + 5*c - 35. Solve c*f - 2*f - 25 = n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a day in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 48 and 1488.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 463593 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of o*q*x**3 + 84*o*q*x**2 - 2*o*x**3 + 4453*o*x + 3*q*x**2 + 226399*x**3 wrt x.\nAnswer: 6*o*q - 12*o + 1358394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 333*j + 34 = 2*n + 330*j, -4*n - 4*j + 68 = 0 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w + 4. Let f(j) = -8*j + 59. Let v(z) = 3*z - 31. Let a(s) = 4*f(s) + 9*v(s). Let c(r) be the first derivative of a(r). Calculate 3*c(d) + 4*x(d).\nAnswer: -4*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -13*r**5 - 1021060*r**3 + 22*r**2 + 154*r + 451.\nAnswer: -780*r**2 - 6126360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 5, 0.1, -1\/7, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(4*sqrt(475)*-4 - sqrt(475))**2.\nAnswer: -411825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 2*b + 2)*(-4380 - 3864 + 2154 - 8833 - 4303) in the form t + i*b and give i.\nAnswer: 38452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, s: 2, k: 4}. Give prob of sequence ss.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -130*g = -135*g - 1730. Which is smaller: g or -347?\nAnswer: -347","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4626.05818 + -4626. What is o rounded to three decimal places?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - (-141 - (130 + -148 - (2 + 0))).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n*n*(n*n**(6\/11))\/n)\/(n\/n**(2\/13)*n))\/(n*(n\/(n*n**(-1\/3)))\/n*n)**(18\/11) assuming n is positive.\nAnswer: n**(-69\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-328)\/28 + 1 + (-18)\/14. Let x = -12 - s. Solve x = 3*h - 0*h - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u - 3*y + 8 = -7*y, 2*u + 5*y + 17 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6511, -6510, -6509, -6508, -6507, -6506?\nAnswer: -6505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:29 AM and 9:17 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2299) + 2*sqrt(2299))**2*-2 - (1 + sqrt(2299) + -2)**2) + -2 + ((-1 + sqrt(1216))*5 + sqrt(1216) + -2)**2.\nAnswer: -650*sqrt(19) + 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -854 + 891.9. Let u = 38 - t. Which is the third biggest value?  (a) u  (b) 1  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m - 1. Let n be t(-4). Suppose 0*k + 3*k - 3*h = 15, 2*k - 14 = 4*h. Differentiate -2 + n - 3*r**k + r**3 with respect to r.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10500 divided by 6?\nAnswer: -1750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -1\/7  (b) -2\/9  (c) 2\/7  (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1340 and 16935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 829165790 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u*u*u*u**(-6\/11)*u)\/u)**(-2\/87))**(-1\/10) assuming u is positive.\nAnswer: u**(9\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 3*q**2 - 7*q - 2. Let y(f) be the first derivative of f**3\/3 - f**2\/2 - f + 3927. Give -s(g) + 5*y(g).\nAnswer: 2*g**2 + 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 185652 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p and 1 a when four letters picked without replacement from {u: 5, a: 10, p: 4}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 + -9 + 8 - 12) + 34.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4 + -4 + (-34 - 2). Let c be (-18)\/l*(1 - -11). Suppose -2*q - c = -46. Solve 2*y + q = 6*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3313443222 (base 5) in base 4?\nAnswer: -123112321213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -10*u - 52. Let c be l(-5). Suppose -5*o - 2*z = -16, -4*o = -o - 2*z. Put 4, c, 0, o in ascending order.\nAnswer: c, 0, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*w - 10 = -22*w. Let r(j) = -2*j**2 + 3. Let n(s) = -1. Determine w*n(a) - r(a).\nAnswer: 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x**2 - x - 8. Let t(d) = d**2 + d + 7. Give 5*t(w) + 4*y(w).\nAnswer: w**2 + w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:26 AM and 2:28 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x + 1. Let o be r(-1). Let u = 1331063\/15 + -88769. Let j = u - -94\/3. Which is the smallest value?  (a) o  (b) j  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -20 - 98) + (-18 - -29)\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 9891841703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (6 + -6 - -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/5*-1)\/((-2952)\/(-4428))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ojoo when four letters picked without replacement from {o: 7, j: 3}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1161 = -5*j - 1424. Let p = -515 - j. Factor 3\/4*d**p - 9\/2 - 15\/4*d.\nAnswer: 3*(d - 6)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38773*d + 6222*d + 4853*d - 7333*d.\nAnswer: 42515*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -24 + 32. What is the second derivative of -9 - 10*l + 9 - o*l**5 wrt l?\nAnswer: -160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/6 and -93\/100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (12 - (3 - 1) - 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:53 PM and 1:38 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 - -110211021?\nAnswer: 110211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(6)\/(sqrt(24)\/(sqrt(12)*-1)) - (0 + sqrt(48))).\nAnswer: -5*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 2*d + 5*o - 20, -5 = -4*d + 5*o. Suppose t + 3 = d. Let i be 4\/6 - (-10)\/15. Is t less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 3 + ((-15715)\/(-2) - ((-54)\/12 - -5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -3*2\/(-3)*3. Suppose -5*b - 11 = -4*c - 2*b, -2*b + d = 0. Suppose -115*g = -110 - 350. Solve n - g = -5*i, -c*n + 0*i + 20 = i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-86)\/301*805\/(-4485)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g and 1 n when three letters picked without replacement from nggnp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the first derivative of 4\/3*p**3 + 0*p**2 + 1 + 0*p. Let c(z) = -z. Determine u(c(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 31*p**3 - 3*p + 20*p**3 + 23*p**4 + 4*p + p - 17*p**4 to the form q*p**2 + m*p + s*p**3 + b + f*p**4 and give s.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 123 + -121. Let a(t) = 39 + 36 - 75 - w*t. Let c(j) = 9*j. Calculate a(c(m)).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2347412293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 24 = -2*k, -5*x - 1 = -2*k - 17. Let h = -0.35 - 14.65. Which is the closest to -0.1?  (a) h  (b) k  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -122, -273, -462, -689, -954, -1257, -1598?\nAnswer: -1977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 1010101010100101110011 (base 2) to base 3\nAnswer: 12021001020112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -5*f + 1. Let k(p) = 6*p - 1. Calculate 3*j(a) + 2*k(a).\nAnswer: -3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/9)\/(118\/531).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 212111.7 months in centuries?\nAnswer: 176.75975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 719 is divided by 75.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -18*q + 2 + 6*q - 5*q**2 - 3 - 6. Let i be w(-8). Is (-18)\/6 + i\/(-3) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1628103 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**2 - 3*i - 22. Let a be 1315\/45 - (-4)\/(-18). Suppose 2*k + 2*z = 1 + 1, z + a = 4*k. Let x be b(k). Sort 0, 2, x, 1 in increasing order.\nAnswer: x, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 149062416?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 5*n + 0*n - 4)*(-15 - 12 + 37).\nAnswer: 50*n - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 319 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(2\/9))**40*f**5\/((f**3\/f)\/f))**(-40) assuming f is positive.\nAnswer: f**(-4640\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 56\/42*3\/2. Let y(f) be the first derivative of 0*f**2 + p*f - 1 - 1\/4*f**4 + 0*f**3. Find the first derivative of y(s) wrt s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the first derivative of -2*q**7\/105 + q**6\/30 - 5*q**2\/2 + 5. Let s(m) be the second derivative of t(m). Find h such that s(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 41 or 40?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 10 - 4 - (-3 - 2). Suppose w = 3*h - 2*k, -5*k = 3*h + 12 + 5. Solve h = -b - 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5\/3 or -766771?\nAnswer: -766771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g + 3*g - 3*g)*(-2 + 1 + 2)*(-42 + 27*g**3 + 42).\nAnswer: 54*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -7*s**3 + 6*s**2 - 6*s - 6. Let v(m) = 6*m**3 + 60*m**2 - 34*m**2 - 2*m + 7*m + 5 - 31*m**2. Give -5*r(a) - 6*v(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 88\/(-60)*7*(-18)\/231?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -3*d**2 + 717*d - 1422 = 0?\nAnswer: 2, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (l + 59 - 52 + l + (4 - 2 + 0)*(6*l - l - 3*l))*(-17 + 7 + 0)*(0*l**2 - 3*l**2 + 4*l**2) as u*l**3 + n*l**2 + g + v*l and give u.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (f + 0*f - 3*f)*((0 + 0 + 3)*(-2 + 2 + f) - 2*f - f + 0*f + (-f + 0*f + 3*f)*(1 - 1 - 2) - f + 3 - 3) to b + w*f**2 + z*f and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 7 + -c6c714?\nAnswer: -c6c70b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1389, 1945, 2503, 3063, 3625, 4189, 4755?\nAnswer: 5323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 - 1203?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 988365 smaller than 988362?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -5*m + 2*w, -4*m + 24 = -9*w + 14*w. Let h(r) = -17*r**2 - 6*r. Let c(z) = 52*z**2 + 17*z. Calculate m*c(s) + 17*h(s).\nAnswer: 23*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 5*c**3 + c + 1. Suppose -3*g = -15, -3*m - 2*g - g + 12 = 0. Let y be w(m). Let j(q) = -6*q + 7. Is j(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31944*z**2 + 17135*z**2 - 13304*z**2.\nAnswer: 35775*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6093 divided by -677.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes before 6:17 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 718.2866 years?\nAnswer: 8619.4392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20659 is divided by 93.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-8721)\/323*1\/(-3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 177863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14221, 56867, 127943, 227449?\nAnswer: 355385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 938610.31 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8*t + 9*t**2 - 13*t**2 - 32*t**2 - 18 - 2512 - 47*t**2 with respect to t.\nAnswer: -166*t + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -2*d**2 + 7*d - 1. Let u be h(3). Suppose 5 = u*o - 5. Solve 2*f + 3 = o*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -82 + 84. Solve -4*b - 2 = j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 208313, 421995, 635677, 849359?\n\"Answer: 213682*w - 5369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b - 25 = -5*g - 14, g + b - 3 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**2. Let d(v) = -3*v**2 + 8. Let y(s) = d(s) - 4*w(s). Give y(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-1*(0 + -2 + sqrt(19) + 1))**2*4 + 0.\nAnswer: -80 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1\/75438 + 25145\/75438. Let q = 0.1 - -0.24. Let g = 0.04 - q. Which is the second biggest value?  (a) -7\/10  (b) g  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*v + 27199 = -9*v + 54499 - 27210 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 68.4 + -65.4. Let y = 119 - 1069\/9. Sort 5, y, d.\nAnswer: y, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the third derivative of -x**5\/60 - x**4\/12 - 3*x**2. Find the second derivative of m(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.963853291 - -0.1736.\nAnswer: -0.790253291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1441, -3275, -5097, -6901, -8681, -10431, -12145?\nAnswer: -13817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 38 = -3*n, 4*h = -h - 20. Suppose 2*y - y - u - n = 0, 0 = 5*y + 2*u - 16. Suppose -65 = -y*q - 1. 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 the hundreds digit of 151218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46 - 19 + 33 + 32 + 1200*j**2.\nAnswer: 1200*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:02 AM and 8:57 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14969 - 2189 = 2*h. Suppose -r - q = -1715, -2*q - h = -5*r + 2199. Suppose -4*k = -2*m - 2276, -3*k + r = m - 0*m. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -22*f + 9*f + 10*f + f. Let g(d) = -7*d**2. Calculate g(c(y)).\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 a factor of 301136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -25 + a6c4?\nAnswer: a69c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 3*w - 19. Let j be k(7). Which is greater: -32 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/2*b**3 + 9\/2*b + 0 + 3*b**2.\nAnswer: b*(b + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/3  (b) 67  (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**3 - 2*z**2 - z + 6. Let i = 3763 + -3612. Calculate the remainder when i is divided by q(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/6438 and -113\/54.\nAnswer: 57942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 7*h - 3. Suppose 2*m - 9 = -3*j, -2*j - 10 + 0 = -4*m. Let t(z) = -3 + z + 4*z + m - 4 + 2*z. Give 6*g(x) - 5*t(x).\nAnswer: 7*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -4038*o**2. Let n(w) = 138*w. Calculate z(n(y)).\nAnswer: -76899672*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 494390832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 726122.3um to kilometers.\nAnswer: 0.0007261223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*f**4 + 5*f**4 + 10*f**4 + (2*f**4 + 3*f**4 - 4*f**4)*(3 + 0 - 1).\nAnswer: 13*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 101\/3712 and -9\/8.\nAnswer: 3712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 132, 258, 386, 516, 648?\n\"Answer: x**2 + 123*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*u - 385195 + 386335 = 0 for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.8 - -17912.3.\nAnswer: 17911.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 95 and 3325.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 4303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-5*(sqrt(176) + -1) - (sqrt(176) - (-1 + sqrt(176)))*4) + -5 - ((sqrt(176)*1 + sqrt(176) + sqrt(176))*4 - -6*(sqrt(176) - (3 + sqrt(176)))))*4)**2.\nAnswer: -30464*sqrt(11) + 816960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3763*h**2 - 4399*h**2 + 7543*h**2)*(-5 + 6 + 6 - 1 + 6).\nAnswer: -7428*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 94646, 91593, 86512, 79409, 70290?\nAnswer: 59161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 9*i - 6. What is the units digit of n(24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1081376, -1081378, -1081380, -1081382, -1081384?\n\"Answer: -2*z - 1081374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the first derivative of -21*c**4\/2 + 21*c**2 + 11. What is the second derivative of w(h) wrt h?\nAnswer: -252*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 123*n. Let b(w) = -3*w**2. What is b(m(h))?\nAnswer: -45387*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/(-3 + 2) - -39. Let w = 1901 - 1962. Let c = f + w. Is -22 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37.52 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1235 + -15?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4747948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + 5*s = -2 - 17, 2*o + s = -5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(475) + 1 + sqrt(475) + sqrt(475) + sqrt(475) + 3 - -2*(sqrt(475)*-1 + sqrt(475)) - 6*(sqrt(475)*-1 + -3)*-2)*-2*-3)**2.\nAnswer: 92160*sqrt(19) + 1131264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3, 151, -0.4, 5, -1, 11\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 7 - (712\/48 + (-16)\/2). Which is the closest to 6?  (a) h  (b) 3\/4  (c) -0.03  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.785412 and -1852.843.\nAnswer: -1853.628412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = -39*p + 96. Solve -7 + 11 = p*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 325600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -5 + -1 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10014114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 48374347223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = 0, 4*v + t = -0*v + 8. What is the third derivative of 2*c**6 - 4*c**6 + 0*c**6 - 2*c**v wrt c?\nAnswer: -240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -4*m + 6. Let z be o(0). Suppose 5*c = z*c - 4. Suppose 2*x - 85 = -0*x - g, 140 = 4*x - c*g. Calculate the highest common factor of x and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*y + 9*y + 6*y - 18*y in the form u*y + o and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2 + (-45)\/10)*-4. Suppose -y = -0*m + 2*m, -2*c + 17 = -3*m. Are -2\/7 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-40057980)\/(-132) - (-54)\/(-99) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(1 + 18\/(-15)). Suppose -14 - q = -4*z. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5 - (3 + 1)) + 1 - 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence egg when three letters picked without replacement from gqqegegeeegg.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 73*l**4 - 48*l**3 + l**2 - 66*l + 93024425.\nAnswer: 292*l**3 - 144*l**2 + 2*l - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 21 - 13. Suppose -5*q + p = -17. Suppose g - q*g + 36 = 0. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in seven halves of a day?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(2430)*-1)\/(sqrt(20)\/(sqrt(16)\/(sqrt(24)\/sqrt(3)))).\nAnswer: -27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/13, 1\/2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 51041867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 7, y: 5, h: 1}. Give prob of picking 1 h and 2 f.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.1645 - -0.0645. Which is the nearest to w?  (a) -3  (b) 13  (c) 2  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkfk when four letters picked without replacement from {k: 7, y: 4, s: 3, f: 5}.\nAnswer: 175\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k. Let s = -5 - -9. Suppose 16 - s = 4*q - 2*l, -28 = -4*q - 2*l. Let h(p) = -q*p + 3*p + 3*p + 3*p. What is h(c(v))?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5\/4 in -4, -5\/113, 2.3?\nAnswer: -5\/113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**3 - 4*d**2 - 7*d + 12. Let q be a(5). Suppose 4 = k + q. Suppose t - 3*i - 12 = 0, k = 5*t + 4*i - 1. Solve 3*m - t - 3 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 13, r: 6}. What is prob of picking 1 w and 2 r?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -404454341 + -491456312. Let m = -895910599.0000029 - p. Let i = m + -54. Round i to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000033865 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 + 0)*(-1 - 13 - 38)*(-2*u**3 + 0*u**3 + 3*u**3 + (-1 + u + 1)*(2*u**2 + 3*u - 3*u) + 5*u**3 + 0*u**3 - 4*u**3).\nAnswer: 208*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17881, -17877, -17869, -17857, -17841?\nAnswer: -17821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 1940 - 779 = -4*c, -20 = 20*r. Calculate the remainder when c is divided by 175.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**3 - 2*d**2 + 3*d + 2. Let s be z(-4). What is the derivative of s - 7 + 0*o - 9*o wrt o?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + (2 - -3 - 13) - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2 and 691.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 67 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**2. Let l(j) = -j. Let t(s) = 14*s. Let b(z) = -14*l(z) - 2*t(z). What is b(m(v))?\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*c = -2*y - 9 - 7, 1571 = 3*y - 3*c + 1583 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*a**2 + 5 + 4 - 10 in the form z*a**2 + i*a + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03023291 rounded to 4 dps?\nAnswer: 0.0302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - t - u + 21 = 0, -u + 29 = 4*t. Suppose d = -2 + t. Solve d = 2*j - 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 5, l: 2, p: 6}. What is prob of picking 3 p?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -69*k + 938394973 + 13253027. Round k to the nearest one hundred thousand.\nAnswer: 13800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (9\/45)\/((-51)\/(-30)) - 1383\/51. Which is the biggest value?  (a) -2\/13  (b) k  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3574491 divided by -1\nAnswer: 3574491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -73145, -146306, -219479, -292670, -365885, -439130, -512411, -585734?\nAnswer: -659105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 4 = -1. Let t = l + 75. What is the highest common factor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.138 + -2.138. What is the closest to -0.1 in -5, -1\/7, t?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 155c4 (base 15) in base 7?\nAnswer: 404416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -u + 18, -78 = -3*u - 15*i + 12*i. Let w be u - 33 - (-334)\/34. Solve -2\/17*j**3 - 6\/17 - 10\/17*j**2 - w*j = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 333 and 10286.\nAnswer: 92574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the third derivative of -2*l**2 - 2\/9*l**3 + 0*l + 0*l**4 + 0 + 1\/180*l**5. Find k, given that s(k) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*((-7164)\/396 + 18)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22328 + 8795 = -347*c for c.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22927.75 nanograms to micrograms.\nAnswer: 22.92775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pwpkxcxkkuxpkwp. What is prob of picking 1 p, 1 u, and 1 x?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:47 PM and 12:50 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-348)\/4*(-51)\/(-612)*-20.\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 + 1 - (-30 + 27). Suppose 2*u + 4043 = 5*z, 3238 = v*z + 2*u - 0*u. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e, 1 f, and 1 m when four letters picked without replacement from {e: 2, g: 3, x: 1, f: 2, p: 2, m: 4}?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*l - 3 + 3 + 2 - 2 - 2*l + (-l - l + 0*l)*(-3 + 5 - 1) - 3*l + 6*l + 10*l + 4 as p + z*l and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -106102, -106115, -106138, -106171, -106214?\n\"Answer: -5*a**2 + 2*a - 106099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 12993419 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 5 - 149*g**2 - 30*g**2 + 183*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9 + 12. Solve -2*g + 3 = l*n - 0, 0 = -n - 4*g - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-22)\/6 - 1200\/360?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes after 5:02 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1302*a**3 + 7*a + 3*a - 10*a.\nAnswer: -1302*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5.921 + 4217.921. Let t = -4212.00002153 + g. What is t rounded to 6 decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-129)\/(-3) - (-2 - -1). Suppose -2*q - 2*b + 4*b = -z, -4*b = 5*q - 110. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 50 + 8. Calculate the remainder when o is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 2531, 4983, 7353, 9647, 11871, 14031, 16133, 18183?\n\"Answer: x**3 - 47*x**2 + 2586*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 4 = -2*x, -5*x = 5*b - 20. Suppose 204 = 4*i + 4*p, -2*i + b*p = -6*i + 206. Let u = -49 + i. Solve 0 = 4*m - t + 11, -22 - 4 = u*m + 2*t for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 + -5.23?\nAnswer: -5.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (15 + 162\/(-12))*2\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (2 - 5) + -5 + -1 + 16\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -359723.76217 plus 3?\nAnswer: -359720.76217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**3 + 10*c**2 + c + 16. Let b be j(-10). Suppose -b*a + 144 = -0*a. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2250 = 5*o + 490. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 80*n**2 + 2*n + 1. Suppose 3*s - 18 = s + 5*u, -2*u - 5 = -3*s. Let w be h(s). Suppose 5*r = -m + 360 + 91, -r - 3*m = -w. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 284686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11429797 - 0.4.\nAnswer: 11429796.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:44 PM and 8:00 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -84*n + 108. Let u be l(-9). Let d = 868 - u. Solve -3*v + 3*h - 1 = -d, 35 = 5*v + 5*h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 21, 3, -23?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 755517 - 1755517. Round b to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 109\/260 and -121\/45816.\nAnswer: 2978040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -7619, 1.\nAnswer: -7619, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 108423 - 2.712991?\nAnswer: 108420.287009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 1788*a - 3103. Is w(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -0.431, -2807 in decreasing order.\nAnswer: 0.3, -0.431, -2807","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is c3591 (base 16) in base 14?\nAnswer: 16b853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d + 26*d = -92131. Does 11 divide d\/(-7) - 1*(-10)\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1*19\/(-285))\/(3\/(-18)*-1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.1 and 17.602?\nAnswer: 17.702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -15  (b) 57.1  (c) -2\/9  (d) -6\/5  (e) 1\/3  (f) 1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -1*(sqrt(3) - -6*sqrt(12))**2*1 + ((-2*sqrt(54))\/sqrt(2))**2*-1 + -3.\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-15)\/(y\/y**(2\/55)*y) assuming y is positive.\nAnswer: y**(-933\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 11039+-30585\nAnswer: -19546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 55743?\nAnswer: 5\/55743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y + 29*y = 5*y - 28*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 t when two letters picked without replacement from ydcycttdxxytcctd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 49 - -1226?\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b**(-1\/6)*b))\/b)\/((b**(1\/10)*b*b)\/b)*(b**(-2)\/b)\/(b\/b**15) assuming b is positive.\nAnswer: b**(136\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/2, 10, -4\/5, -3 in ascending order.\nAnswer: -3, -4\/5, 3\/2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -140954, -143160, -145364, -147566, -149766, -151964, -154160?\n\"Answer: p**2 - 2209*p - 138746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -9 in -3, 6\/25051, 0.5, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**3 + 85*g**2 - 192*g - 1453. Determine v(-87).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**2 - 17*n - 30. Let s be t(-15). Let a be -5 - -3 - (3 - s). Sort 2, 1, a.\nAnswer: a, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 29 and 2059.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*p**2 + 3*p**2 - 3*p**2)*(-7869*p**2 + 94*p - 61*p - 33*p) as g*p**4 + i*p**3 + r*p**2 + j + b*p and give g.\nAnswer: -15738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -1 + 4*s + 1. Let l(x) = x**2 + 18*x - 6. Let u(i) = -i**2 - 15*i + 5. Let c(r) = -5*l(r) - 6*u(r). Calculate c(m(w)).\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 22528885187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -151848607\/792 + 191728. What is the common denominator of i and -53\/576?\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -270, -291, -312, -333?\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000304 rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wkwwwkwwww. What is prob of picking 2 k and 2 w?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes after 7:17 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -11*n. Let j(g) = -20*g - 16636. Determine r(j(u)).\nAnswer: 220*u + 182996","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-3\/4)*a)\/a*a**(2\/5))\/(a\/a**10)**(-29) assuming a is positive.\nAnswer: a**(-5227\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1766, -3595, -5426, -7259, -9094?\nAnswer: -10931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 1 - -21 - (124 + (129 - 258))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the second derivative of 15*v**8\/28 + 5*v**4\/6 - 9*v. What is the third derivative of x(a) wrt a?\nAnswer: 3600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 y, and 2 d when four letters picked without replacement from {o: 1, t: 3, z: 1, y: 2, w: 1, d: 5}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - 11*y = 27, 5*c + 36 = -2*y + 37 + 59 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-60)\/7)\/(4\/(-28)). Let a be (72\/u)\/(2\/5). Solve y = a*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*s - 5*g = -12*s + 9, 5 = -2*s + 4*g + 9 + 8 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 35 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/1)\/(15*136\/(-5100)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 242 and 1672?\nAnswer: 18392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1008) - -3*-2*sqrt(1008)) + (-2*(sqrt(1008) - (sqrt(1008) + -2*sqrt(1008))))**2)*-3*2.\nAnswer: -96768 + 360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x = -8, 18*g + 8 = 19*g - 2*x for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1716144 divided by 3?\nAnswer: -572048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**3 - 21*d**2 + 42*d - 93. Let b be y(-23). Let p(k) = -6*k + 2. Let l be p(b). Let r(v) = 2*v**2 - 16*v + 1. Determine r(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -14 - -17. Let a be (9\/(-15) - t\/(-5))\/(-1). Suppose -5*w + 230 = 5*r, a*w - 5*r = 3*w - 148. What are the prime factors of w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**3 - 42127*t**2 + 442002335*t + 35181592111.\nAnswer: (t - 21103)**2*(t + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 2026 + 276 = 0. Let r = -3846\/11 - i. Which is greater: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -650, -649, -648?\nAnswer: -647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.43252692 rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 21340 by 4268.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1507 by 6.\nAnswer: -1507\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 656988 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1601 + 2772. Suppose v - 3675 = -2*h. Let d = -4949\/4 + h. Find the common denominator of d and -12\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 times -47.613\nAnswer: -142.839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 + 0. Let q(y) = -y**3 - y**2 - 2*y + 2. Let f(t) = t**3 + t**2 + t - 3. Let r be 252\/(-54) - 10\/(-6). Let s(i) = r*f(i) - 2*q(i). Calculate s(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -46 - -87.5. Let y = -41 + s. Which is the nearest to -0.1?  (a) -1\/3  (b) y  (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 202 a factor of 904596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 27 and 613998?\nAnswer: 1841994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/69666620 and -73\/18.\nAnswer: 626999580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -332*u**3 + 2*u**2 - 308*u - 310. Let w be r(-1). What is the highest common factor of w and 2407?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1895?  (a) -0.5  (b) -3  (c) 2.5  (d) 2\/15  (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 - -8. Let x = -10 + u. Let t(l) = -x*l + l + l. Let o(b) = b**2. Give o(t(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 17*b + 733 = 19*b, 969 = 4*c + b. Let g = 245 - c. Solve -5*f = -10, -f - g*f + 7 = -3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l + 40, 988410 = 4*h - l + 168326. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * -4.8235.\nAnswer: -19.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (12\/117)\/(5\/15*-2). Let m = 4 + -3.7. What is the nearest to -0.1 in n, m, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -2 + 2*n + 8*n - 13*n. Let p = 7 + -11. What is the units digit of i(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 5 - 7 + 10*r**2 - r**2.\nAnswer: 9*r**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g + 3*h - 29084, 5*g - h - 90710 + 17983 = 0. Suppose 0 = 6*p - p - g. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 36*a*f**2*p + a*f*p - 2*a - f**2*p + 7*f**2 + 9*f wrt p.\nAnswer: 36*a*f**2 + a*f - f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8.7 + -8.6993. Round u to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 155717224 divided by 5989124?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11898*b + 11901*b = 4*n + 41, -b = 5*n + 37 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 64 + -52. Suppose 5*l = -3*s, 0*l + 5*l - s - 20 = 0. What is the greatest common divisor of q and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -i**2\/8 + 3395*i\/8 + 1537267\/4 = 0. What is i?\nAnswer: -743, 4138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -12 in -78, -0.3, -3, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 15*l - 4718 + 4838 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -99, -225, -351, -477, -603, -729?\nAnswer: -855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 4392.876l?\nAnswer: 4392876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5 and -302165.\nAnswer: -1510825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 70 and 35385.\nAnswer: 70770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -29 and -0.0689?\nAnswer: 1.9981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4.7 + -11.9. Let o = -7 - l. Let k(u) = u**2 + 7*u + 6. Let i be k(-6). Which is the nearest to -0.1?  (a) o  (b) i  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/15, 13\/2, -3, -3\/5, 14\/5, -0.5?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) 2\/3  (b) 13\/5  (c) 2  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 510190?\nAnswer: 2, 5, 163, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*r - 3*r + r)*(-3*r - r + 10*r) + 0*r + 0*r + 2*r**2 + 2*r**2 - 3*r**2 + 3*r**2 - 2*r**2 + 4 - 4 in the form p + o*r**2 + l*r and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the second derivative of -q**5\/10 - 365*q**3\/6 - 1191*q**2\/2 - 1043*q. What is the first derivative of b(r) wrt r?\nAnswer: -6*r**2 - 365","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -3*i - 321. Let t(c) = -5*c - 647. Give 7*h(j) - 4*t(j).\nAnswer: -j + 341","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-3) - (-40)\/48.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7848 divided by -84385?\nAnswer: 7848\/84385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:13 AM and 12:13 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (5\/20)\/((-4)\/69) and -57\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 - -11001110111101?\nAnswer: 11001111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -7 (base 14) to base 13\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1*16\/24*(-3)\/23\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 2*d**3 - d. Let b be x(-1). Let f be -24*1 - 1\/b. Let w = -7 - f. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1063654\/877569 - -2\/26593. Calculate the common denominator of -65\/27 and c.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -19\/385 + -36\/385. Which is the third biggest value?  (a) 0  (b) 0.04  (c) 1\/13  (d) -5  (e) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -2*l. Let y(v) = 52*v. What is t(y(o))?\nAnswer: -104*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5*k*r**4 + 494857*k*r**3 + 12188408*k wrt r.\nAnswer: 20*k*r**3 + 1484571*k*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Convert 173 (base 8) to base 13.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = q + 9 - 24, 4*l = -3*q + 1. Suppose -12 = -c + l. Let w be ((-84)\/c - -4)*(0 - 4). Calculate the greatest common divisor of 20 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (819\/(-27))\/(-13)*(-45)\/(-595)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15802 - -15766.915. Let z = n + 35. Let b = -0.0943 - z. Round b to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3531 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v*v**7)\/v*v)\/(v**(-1\/9)\/v*v))\/((v*v**1*v)\/(v*v*v\/(v**4\/v*v)*v)) assuming v is positive.\nAnswer: v**(46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a millimeter in micrometers?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 126 = 5*r - p, -3*r - 5*p = -4 - 94. Let h be 3124\/30 + 20\/(-150) - 0. Suppose -9*o = -8*o - h. Calculate the highest common factor of o and r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.6 times 0.157?\nAnswer: 0.5652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c - 8 = -b + 2*b, -2*b = 2*c + 12 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14 - 366\/(-30))*10\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 28 = -2*c, -4*n - n + c = -104. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1279039 (base 11) to base 13.\nAnswer: 5c4114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-274)\/3)\/((-6)\/9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 10167, 49845, 115973, 208551, 327579, 473057, 644985?\n\"Answer: 13225*c**2 + 3*c - 3061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -550259 (base 11) to base 13\nAnswer: -249ca5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2941 + 3421. What is the smallest common multiple of 192 and q?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**2 - 2*h + 5. Let p(v) = -v + 1. Let l(j) = n(j) - 3*p(j). Let a be 4\/14 - (-12)\/7. Determine l(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38389.\nAnswer: 13, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, -1886.\nAnswer: -1886, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add together 4471846 and -40.1.\nAnswer: 4471805.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 5*f. Let u(i) = 395*i**2 + 5*i - 17. Let j be u(4). Let z(d) = -6323 + j - 19*d. Calculate k(z(o)).\nAnswer: -95*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 984*y + 68*y = -1189*y + 114291 for y.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6441355007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.393 - 0.393. What is the nearest to t in -3\/7, -4\/7, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 697 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:32 AM and 8:53 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00283555 to four dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 155208569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1970*v**4 - 266?\nAnswer: -7880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 47*f**3 + 11*f**2 - 9*f - 9. Let s(z) = 23*z**3 + 6*z**2 - 4*z - 4. Let y(h) = 4*l(h) - 9*s(h). Find the third derivative of y(x) wrt x.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**2 - 10*a + 3*a + 6*a + 3*a**3 + a**2. Calculate v(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 393893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2 + 2 + (-1 - 0). Let q(o) = o**3 - 2*o**2 - 2*o. Let b be q(g). Let h be (b\/(-30))\/((-2)\/(-5)). Put -0.5, h, 4 in ascending order.\nAnswer: -0.5, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**3 + i**2 + i + 275. Let l be h(0). Suppose 0 = 5*c - l + 10. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = -740*s + 753*s - 104 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -34 + 40. Suppose 0 = -11*l + a*l + 10. Solve -l*j = -0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 - -5. Let i = 27 - r. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((-24)\/32)*7\/(49\/21).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -115\/48 and -9\/124.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 95621415.\nAnswer: 3, 5, 6374761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -2, 34, 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -179 = 194*v - 373 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -249*q**4 + 3*q**2 + 1550 wrt q?\nAnswer: -996*q**3 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1274918886?\nAnswer: 2, 3, 19, 1242611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the third derivative of 7*w**4\/12 + 7*w**3\/6 - w**2. Let x be b(5). Suppose 0 = 2*c - x - 189. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -131\/2208 and 81\/2576?\nAnswer: 15456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 18 and 2630?\nAnswer: 23670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 0*l - 15 = 0. Let q = 4 - l. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4134 is divided by 243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**3*l**(-2\/7))**14 assuming l is positive.\nAnswer: l**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60382*r**3 - 120675*r**3 + 60327*r**3.\nAnswer: 34*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -i**3 - 6 - 4*i**4 - 5 + i**2 + 0*i**3 + 16 - 4*i - 4 as u*i**2 + l*i**4 + y*i**3 + p + z*i and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 2*w - 5. Let x be p(4). Let h be (-160)\/(-6) + (-2)\/x. Suppose 3*d - d = h. Calculate the remainder when d is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59452881.\nAnswer: 3, 19, 179, 5827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = z - 5*z. Does 37 divide z\/1*(-333)\/(-36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 559 and 195.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**2 - y - 6. Let k(i) = i**3 + 154*i**2 - 976*i + 1515. Let u(o) = 5*f(o) + k(o). Solve u(c) = 0.\nAnswer: -165, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 12) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 70168 and 56.\nAnswer: 70168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-30)\/(-8))\/(-3))\/((-75)\/300).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/4 + 126\/24. Suppose -a = -4*u + 11. Solve -2*v = -4*v + u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -122092 and -115042367.\nAnswer: -115164459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m. Let b(t) = t**2 - 4*t. Suppose -n + 4 - 5 = 0. Let u(h) = n*b(h) - 4*l(h). Let d(r) be the first derivative of r**2 + 2. Give d(u(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -7  (b) 7  (c) -2855  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1198559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 10*f. Let d(c) = 2*c**2 + 27*c + 22. Let l be d(-13). Let p(u) = 15*u - 32*u + l*u. What is p(h(s))?\nAnswer: -80*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -10\/7 and -6\/3648127?\nAnswer: 3648127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the second derivative of -2*q**2 + 4*q + 0 + 0*q**4 + 0*q**3 + 1\/20*q**5. Differentiate d(t) with respect to t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the first derivative of -a**2\/2 + 3. What are the prime factors of b(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 8332082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the first derivative of f**3\/5 + 9*f**2\/5 + 27*f\/5 + 4. Let l(x) = 0. Calculate x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2719*r - 2716*r - 3*s + 15 = 0, 3*s - 3 = -r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/(-5*(-8)\/280). What is the highest common factor of 224 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**3 + 66*h**2 - 129*h + 45. Determine w(64).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + (5 - -4) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4)\/(-6 - (-4)\/1). What is the derivative of -5*t**3 - 22*t**3 + b*t**3 - 3 wrt t?\nAnswer: -75*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*d**3 + d - d - 2547 + 1453 to the form h*d**2 + p*d + l + u*d**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 6*n**2*y + 13*n**2 + n*y - y**2 + 1 wrt y?\nAnswer: 6*n**2 + n - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from ysn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 8*z - 8. Suppose -z*v + 3 = -3. Let f(n) = 8*n - 1. Is f(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 5*v**2 - 11*v + 3. Is i(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1922 + -1693.2. Let u = 290 - d. What is u rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 times 6224\nAnswer: 24896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b. Let d(g) = -g**2 - 8*g - 10. Let t(i) = -d(i) - 2*w(i). List the prime factors of t(-10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1354*q - 3869*q - 50300 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -5 - z + z**3 + 5*z**2 + 4 + 3*z**2 + 2. Let k be h(-6). Suppose -77*m = -k*m + 10. Solve 21 = -m*n + 3*f, -2*f + 1 = n - 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**2 - 20*m + 2. Let r be z(-20). Is (-331 - -17)*r\/4*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7.32042839 rounded to one decimal place?\nAnswer: -7.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -3*w + 1, -w = -3*n - 0*w + 17. Let m be 9\/(5 - 4) + n. Suppose -4*h = -23 - m. What is the smallest common multiple of 15 and h?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 122826076 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13472530.\nAnswer: 2, 5, 29, 46457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -87\/28 and -107\/126.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 956 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16528, -132573, -447582, -1061035, -2072412, -3581193?\nAnswer: -5686858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.04  (b) -0.1  (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = 4*r - 12, -3*i + r - 6*r + 17 = 0. Suppose -4*c = -0 + i. Is 388*c*2\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((sqrt(85) - 2*sqrt(85))*-2*2)\/(sqrt(30)\/(sqrt(12)\/sqrt(2))*3).\nAnswer: -2 + 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 48976338 divided by -46\nAnswer: -1064703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -121*u**2 - 2*u + 2. Let w(t) = -122*t**2 - 2*t + 2. Let g(z) = 6*d(z) - 5*w(z). Let s be g(1). Let k = s + 167. What are the prime factors of k?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 5\/(-55) - 18279\/33. Let u = y + 557. Solve -z = -0 + u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -63\/2365 and 81\/321640?\nAnswer: 321640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 2*v**2 + 2*v + 6. Let i(x) = 2*x**2 + 3*x + 7. Let f(h) = -5*d(h) + 6*i(h). What is the units digit of f(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 9*c**2 - 24*c + 17. Let x be o(-22). Suppose -u - x = 57099. Round u to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 392*p*v**3 - p*v**2 + 19*v**2 wrt v.\nAnswer: 2352*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 436441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.4  (b) 3  (c) 2  (d) 76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11797153*l**2 - 27672980*l wrt l.\nAnswer: 23594306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1\/128501 + -8352241\/41634324. Calculate the common denominator of 91\/135 and i.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(sqrt(832) + 0 - sqrt(13)) - (sqrt(1053) + (sqrt(1053) - (sqrt(1053) + -1)) + -5))*3)**2.\nAnswer: -3672*sqrt(13) + 304461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j**(-7)*j\/(j*j\/(j*j**(-2\/13))*j))\/((j\/(j\/((j**(-5)*j)\/j)))\/(j*(j*(j\/(j*j**(-2\/11)*j)*j*j*j)\/j)\/j)))**(-20\/9))**(-6\/11) assuming j is positive.\nAnswer: j**(-5560\/4719)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in g**2 + 2*g**2 - 14*g**2.\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3244 - 4?\nAnswer: -3303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1 + -19)*30\/(-45). Suppose -t + 32 = 5*f. Let w = 4 + f. Calculate the remainder when w is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/1870 and -57\/2057.\nAnswer: 20570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5142 is divided by 103?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 108069 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - 2 - -10 - (64 + -52).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w - 25 + 235. Let r be (w\/(-25))\/(-6)*-1. Let o(g) = g**2 - 2*g - 3. Let a be o(3). Which is smaller: a or r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 165, 642, 1431, 2544, 3993, 5790, 7947, 10476?\n\"Answer: 2*t**3 + 144*t**2 + 31*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 44467517 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 25) + -9 + 4 + 3 - -8.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -3*j**5\/2 + 107911*j**4\/3 - 994927*j**3\/3 + 1042788*j**2 - 2373147*j\/2 + 215739 = 0.\nAnswer: 2\/9, 3, 23971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 1, 919, -3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9422767*-0.2.\nAnswer: -1884553.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 11110 (base 2) to base 3\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.1  (b) -0.08  (c) 58  (d) 2  (e) 3  (f) 1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 480304 is divided by 22853.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 1 + 3)*(2*w + 0*w - 4*w) + 5*w - 5*w - w + (3*w - 3*w + w)*(2 + 0 - 4) - 12779 + 25545 + 32*w - 12779 to the form g + o*w and give o.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 29\/9  (b) -5  (c) 0.3  (d) 2\/7  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -10012\nAnswer: -5\/10012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -13  (b) -1\/2  (c) -7\/8  (d) -2.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**3 - 66*y**2 + 340*y - 432.\nAnswer: 2*(y - 27)*(y - 4)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from jvgjujduugjgeg?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -7830208.8231+-1.2\nAnswer: -7830210.0231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that -g**2 - 4948*g - 6120676 = 0.\nAnswer: -2474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((-560)\/(170\/(-34)))\/(-12*(-4)\/(-16)*-6)\nAnswer: 56\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 11, 50, 115, 206, 323?\n\"Answer: 13*d**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/99380989 and -26\/159?\nAnswer: 298142967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 12, 21, 30, 39, 48?\n\"Answer: 9*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.1624232 and 40355.\nAnswer: 40354.8375768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -4*v. Let h(q) = 66*q**2 + 33*q - 33. Let p(c) = c**2 + c - 1. Let j(g) = -2*h(g) + 66*p(g). Determine j(l(d)).\nAnswer: -1056*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -155099970 rounded to the nearest ten thousand?\nAnswer: -155100000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let y = -39 - -42. Suppose 4 + 2 = y*s, 4*s = -o + 4503. Suppose -o = -6*m + m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 7*n**3 - 2*n**2 + n - 2. Let q(p) = p**3 - p**2 + p - 1. Let g(y) = -9*y**2 + 46*y - 7. Let d be g(5). Calculate d*q(m) + r(m).\nAnswer: 5*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 8, -137, -2\/5, 7.3, -5, 1\/14?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*b + 0*b - 5*b)*(2*b + 0*b - b) + (2548366 - 2548366 - 1083*b)*(-2*b - 2*b + 3*b) to the form s + d*b**2 + p*b and give d.\nAnswer: 1082","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 634 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -185 - 2510*v**2 + 840*v**2 + 835*v**2 + 836*v**2. Let j(d) = 10*d. What is s(j(i))?\nAnswer: 100*i**2 - 185","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 19971713 rounded to the nearest 100000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 4 + 1 + 8 + 38 + -66\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10\/(-175)*-14)\/((-38)\/5)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -71756 and 5.\nAnswer: -358780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 = -5*m - 38 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -4, 0, 163261 in descending order.\nAnswer: 163261, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -3 - (5 + -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:01 PM and 6:15 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/(-4) - ((-95)\/(-70) - 4\/(-28)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in 0, -8, 2\/219, -4?\nAnswer: 2\/219","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -24.364 and 6?\nAnswer: -146.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -14267 - -14052. Sort o, -1, -5, 0 in decreasing order.\nAnswer: 0, -1, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 530337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in twenty-five halves of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -44 or -89?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/15*147\/49*1\/1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51228332?\nAnswer: 2, 19, 674057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 40 + 38. Suppose c + u = 4*c. Suppose -b + c = 5*a, 0 = 4*b + a + 2*a - 138. Is b a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 81 - 30. Let t = 51 - p. Let r = -20 - -34. Solve 5*y + r + 6 = t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 184.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*t + 14*t + 9*t + 94 - 119 - 33*t.\nAnswer: -2*t - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w\/w**(1\/7))\/w**(-8)*(w**(-4)\/w)\/w*(w*w*w**(-5)*w)\/w assuming w is positive.\nAnswer: w**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/9, -0.67, 7?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38024.\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50529\/8 + (-2 - (-30)\/16).\nAnswer: 2, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 800.5679 rounded to the nearest ten?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 405 = 4*y + 105. Suppose 4*s = 5*g - y, 3*g + g - 56 = 4*s. List the prime factors of g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*g**5 + 352*g**4 - 20754*g**3 + 428468*g**2 - 1145344*g + 737280 = 0. What is g?\nAnswer: 1, 2, 45, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g - 0*g. Suppose g = 2*d - 0*d - 4. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1067\/42 not equal to -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -43\/3 - -17\/6. Find the common denominator of (6\/(-4))\/(6\/(-7)) and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -z**2 + 93*z - 182 = 0.\nAnswer: 2, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -117856+-237403.98\nAnswer: -355259.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4169 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3451699 and -28?\nAnswer: 96647572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -10768.6 and 8116?\nAnswer: -87397957.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 137596 and 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 4907403, 4907413, 4907423, 4907433?\n\"Answer: 10*v + 4907393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 127142*b**2 + 2*b - 394705.\nAnswer: 254284*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**2\/7 + 160*h\/7 - 312\/7.\nAnswer: -2*(h - 78)*(h - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3126393 and 7614?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 10*x**3 + 5*x**2 - 5*x + 1. Let f(q) = -15*q**3 - 7*q**2 + 7*q - 1. Let b be (-5)\/(-2)*266\/(-95). What is b*s(c) - 5*f(c)?\nAnswer: 5*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from ubbbeubebbbbee.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the first derivative of -32*a**5\/25 - a**4 + 29*a**3\/15 + 2*a**2 + 3*a\/5 - 98. Find m, given that q(m) = 0.\nAnswer: -1, -3\/8, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1421730 divided by -473910\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3267603414 to the nearest integer?\nAnswer: 1484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 69 = -2*y, 5*y - 3*r - r - 138 = 0. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 505710 rounded to the nearest ten thousand?\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 9 - 3 - 5 - (385 - 1). Let p = 1303 + q. What is the tens digit of ((-15)\/((-375)\/p))\/((-4)\/(-10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-4)*1 + -1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 100700 and 3900?\nAnswer: 3927300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1068 and 44553489?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -26462 - -15359. Let d be 0\/((-8)\/2) - x. Suppose 11*o - 44488 + d = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -31176*q + 3616423. Give f(116).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -d + 2*d. Let o(z) = -21 + 14*z - 17*z + 24*z**2 + 0*z + 0*z. Let s be o(d). Round s to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -443*o + 447*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4378 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3171158.2 days to weeks.\nAnswer: 453022.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxxxkxkxk. What is prob of picking 2 k and 1 x?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -517 + 912. Let m = -375 + u. Solve 0 = -x + 5*x + m for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 15 and 27133116.\nAnswer: 135665580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 24 + -22. Solve -2*n = -4*w + 3*w + 4, -z*n + 2*w = 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 8*d - 2. Let n(j) = -9*j + 3. Let g(r) = 2*n(r) + 3*y(r). Let b(h) = -2*h**2. Give g(b(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 5*h - 3. Solve c + h*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**3 - 151*g**2 + 590*g - 320. Calculate f(147).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18*o**2 - 11 - 26*o**2 - 2*o**2)*(-5*o**3 + 4*o**3 + 4*o**3).\nAnswer: -30*o**5 - 33*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17*f**4 - 3*f**2 + 30*f**4 - 12*f**4 - 2)*(0*f - 4*f + 2*f)*(0 - 1 + 2)*(5 + 1 + 0).\nAnswer: -12*f**5 + 36*f**3 + 24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-4)*c**(-2\/5)*(c*(c\/c**(1\/4))\/c)**40 assuming c is positive.\nAnswer: c**(128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve d = p - 2, 55*d = -3*p + 54*d + 14 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -11, -23, -47, -89, -155?\n\"Answer: -x**3 - 5*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2017789 is divided by 672590.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -383538 + 241629119\/630. Calculate the common denominator of n and 37\/6.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-5))\/(24\/10)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cu when two letters picked without replacement from {c: 2, u: 7, q: 1, j: 1, m: 2, y: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.53816 weeks to milliseconds.\nAnswer: 3954279168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -105718, -105740, -105778, -105832, -105902, -105988, -106090?\nAnswer: -106208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i*i\/((i**(-3\/14)\/i)\/i*i)))**15*(i**(-27))**(-3\/5) assuming i is positive.\nAnswer: i**(-1191\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 11940 + 45498 = 5*a, 57450 = 5*a - 5*r. Is a a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -12053028*i**3 + 18184565*i**2?\nAnswer: -72318168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 552 at most 1286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 5313293228 - 25.4\nAnswer: 5313293202.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:08 AM and 9:29 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((0*c + 0*c + c)*(1 - 6 + 0) + 2*c - 3*c + 11*c)*(0*c + 4*c - 3*c) to i*c**2 + f*c + n and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7621 - 11480 + 12941 = 112*k for k.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-24)\/18)\/(33173\/(-735) + 47)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12304041.\nAnswer: 3, 4101347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -67 in 2\/5, -1, 0, 17, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**3 - 19*t**2 + t - 7. Let k be p(19). Let l be (-1 - 1) + 3 + 3. Solve l*g - k = 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*o + 3*o + o + (0 - 13 - 5)*(-3*o + 6*o + 3*o) to the form v*o + h and give v.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 5  (b) 0.5  (c) -0.2  (d) 0.8  (e) 877\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**3 + 3*x**2 - 2*x + 1. Let r be t(1). Let c(b) = 2*b + 1. Let l be c(r). What is the first derivative of -3*d + 0 - l + d wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the third derivative of q**5\/20 + 5*q**4\/24 + 2*q**3\/3 - 1747*q**2. Let d be (-6)\/4*6\/(-1). Let y(c) = 7*c**2 + 11*c + 9. Give d*i(n) - 4*y(n).\nAnswer: -n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the second derivative of j + 0 + 1\/3*j**3 + 0*j**2. What is the units digit of n(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12497*g - 12514*g + 28152. What is the smallest common multiple of 24 and g?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 156, 640, 1452, 2592, 4060, 5856?\n\"Answer: 164*f**2 - 8*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/2 - (-76*(-10)\/(-48) + 17). Let t = 13 - 9. What is the biggest value in -4, -1, t, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 31 = -3*v, -3*l - 39 = 5*v - 2*v. Let t be 5\/(l\/(-4)) - 1. Is 0.15 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**2 + 26*s + 92. Let j be t(29). Solve -j*x - 2*x = 21 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 855048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/3*2)\/(84\/(-36))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -16*a*j**3*l**3 + 3*a*j*l**3 - j**3*l**2 + j**2*l**3 + 4 wrt a?\nAnswer: -16*j**3*l**3 + 3*j*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -500380 (base 9) to base 6\nAnswer: -10200200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 4*i. Let c(w) = 314*w**2 - 5144 + 2556 + w + 2588. Calculate m(c(g)).\nAnswer: 1256*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7498.999996367 + 7499. What is k rounded to seven decimal places?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**2 + 9*q - 5. Give z(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 246818?\nAnswer: 2, 11, 13, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 2*r**3 - 71*r**2 + 33*r + 67. Let y be ((-14 - -23) + -16)*-5. Give g(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.0279794781 - 0.02798. Round m to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 3*i**2 - 12*i. Let u(g) = 2*g**2. What is u(w(s))?\nAnswer: 18*s**4 - 144*s**3 + 288*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-1 + 2*sqrt(704))**2.\nAnswer: -192*sqrt(11) + 16902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 56 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes after 6:45 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/4 of a microsecond in nanoseconds?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 11, -3, 2, 2686, 5, 0 in descending order.\nAnswer: 2686, 11, 5, 2, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 3 - -4) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -8*z**2 + 6*z + 22. Let r(s) = -s**2 - s + 4. Let o(j) = -m(j) + 5*r(j). Does 14 divide o(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**3 + b + 1. Let j(m) = -m**3 - m + 1. Let v(q) = j(q) - 2*z(q). Let i be v(7). Let x = 454 - i. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 425.8 - 71.37. What is q rounded to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c**5 + 128*c**4 - 2642*c**3 + 15620*c**2 + 39688*c + 21296 = 0.\nAnswer: -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b - 14 = 5*d, 6*b - 4*b - 8 = 3*d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) 1\/6  (b) -0.003  (c) -2  (d) 4\/7  (e) 7\/11  (f) 0  (g) 1.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -12491483*w**4 + 12206871*w?\nAnswer: -149897796*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*(45\/(-12))\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -28294590*m**2*o - 12*m**2 - 1433468399*m*o wrt m.\nAnswer: -56589180*o - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15.7 - 14.7. Which is the biggest value?  (a) -2  (b) -3  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 54236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 74966751 + 150943.\nAnswer: 75117694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 2*u**2 - u - 2. Let a(c) = -c**2. Let l(p) = a(p) - f(p). Let v(i) = -i**2. Determine -l(t) + 5*v(t).\nAnswer: -2*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 216061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -720*x - 9349. Let g be i(-13). Suppose 0 = -j - 4*j + 20. Solve j*a + g = -9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = 5*n, 5*j - 2*n = 165 - 45. Let w = -20 + j. Suppose -2*l + 6*l = 4*m + 16, w*m = 4. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -4*s**2. Let d(c) = -12 - 1 + 2*c + 13. Give b(d(g)).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -13*w + 43 - 43 + (-3*w - 3 + w + 1)*(-57 + 144 + 112) as g + z*w and give g.\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -3*n**2 + n. Let u be q(-1). Put 16, 3, u in decreasing order.\nAnswer: 16, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13)\/(-1)*((-1645)\/611)\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 6 + 12)*(0*m - 3*m + 4*m) + (-m - 2*m + 0*m)*(76 - 154 + 74) - 1 - 1 + 2*m + 3.\nAnswer: 34*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in -2182, 1, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 114047269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve q - 188 = -181 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -11*m**3 - 7*m**2 + 11*m + 7. Let r(a) = -5*a**3 - 3*a**2 + 5*a + 3. Let s(u) = 14*r(u) - 6*w(u). Factor s(g).\nAnswer: -4*g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 76732847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 259874 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -1225*h - 7350. What is b(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1485, -1484, -1483, -1482, -1481?\nAnswer: -1480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 11458677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 91657 and 31564?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 2*o + r - 2*r, o + 2*r - 5 = 0. Suppose -4*i = 0, -5*a + o*i - 121 + 396 = 0. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1a (base 16) to base 5.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5403 - 2027. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 3*v = -15, 2*r - 71 = 3*v. Let b = r + -19. What is the greatest common divisor of b and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, 5\/3, -2\/15, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6 - -10. Let d = 24.3 + -24.5. Which is the third biggest value?  (a) -4  (b) h  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.4 and -0.0380501.\nAnswer: -0.4380501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 660\/(-1210) + 214\/110 + 4\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence woww when four letters picked without replacement from {m: 8, t: 2, w: 3, o: 2, x: 2}?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -58403\/4205 or -13?\nAnswer: -58403\/4205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (36 + -14 - 11) + -8 + -16?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 6) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 80300.2 years?\nAnswer: 8030.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 28*u**2 + 10*u + 102. Calculate v(-5).\nAnswer: 752","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 34, -3, -4, -17, -0.4, 0.1 in ascending order.\nAnswer: -17, -4, -3, -0.4, 0.1, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -37 greater than -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**2 - 21*p - 39. Let y be f(-19). Let d(o) = -194*o - 3. Is d(y) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in -2\/35, 1\/5, 3696.617?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:21 AM and 5:23 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -55.5 times -0.3\nAnswer: 16.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes after 12:44 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*t**3 + 45304 + 10*t**3 - 45304.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -105*g - 441 - 11 = 388 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 24 = 6. Suppose -4*s - 4*m - 6 = g, -2*m = 3*s + 8. What are the prime factors of 0 + (s - 258\/(-2)) - 0?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.5  (b) 8  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -91441 - 382989 = -176*c + 12386. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12721327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -2*o + 5*o + 3 + 2*o. Let i(g) = -14*g - 9. Let l(a) = 284*a + 9077. Let n be l(-32). Give n*f(h) - 4*i(h).\nAnswer: h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 g when two letters picked without replacement from {q: 8, g: 2, i: 1, r: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1249740*b*n**3 + 147*b*n**2 + 6*b - n**3 - 59*n wrt n?\nAnswer: -7498440*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-308*h - 480*h + 289*h - 3*h**3)*(0*h + 3*h - 2*h) to the form p + t*h**2 + s*h**4 + q*h**3 + i*h and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 43433  (b) -10  (c) 3\/7  (d) -12  (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 20 = 5*s, 2*s = 1 + 7. Let l(c) be the third derivative of -1\/15*c**5 + 1\/120*c**6 + 2\/3*c**3 + h - 5\/24*c**4 - 3*c**2 + 0*c. What is l(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n + 2 - 2)*(n - 2 + 2)*(2 - 5 + 2)*(-64 - 38 - 98).\nAnswer: 400*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j. Let q be (2*(-2)\/10)\/((-16)\/80). Let u(v) be the third derivative of 1\/8*v**4 + 0*v**3 + 0*v + q*v**2 + 0. Calculate x(u(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 10.87904528 to 2 decimal places.\nAnswer: 10.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 4*i + 1. Let b be h(-1). Let o(z) = -2*z - 1. Let r be o(b). Solve -7 - 13 = r*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 + 1)\/2*(667 + -702)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9300 and 33.\nAnswer: 102300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 5*v - k - 13, -k + 10 = 3*v. Suppose -v*p = -26*p + 759. Let z = 99 - 0. What is the greatest common divisor of p and z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express h - 9*h - h**2 + 12*h + 9*h in the form i*h**2 + w + t*h and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -41, -11, -4?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 126045107 to the power of 1\/3, to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*i**5 + i**5 + i**5 + (4*i - 4*i + 2*i)*(-i**4 + 3*i**4 + 0*i**4).\nAnswer: 9*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g + 64. Let c = -97 + 85. What is the smallest common multiple of b(c) and 12?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 658347?\nAnswer: 3, 31, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -53*q**5 + 104*q**4 - 210*q**4 + 106*q**4 + (-2 + q + 2)*(2*q**4 - q**2 + q**2).\nAnswer: -51*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -17*i**3 - 16*i**3 + 2*i**3 + (-2*i**3 + 0*i**3 + 0*i**3)*(-7 - 2 + 0).\nAnswer: -13*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1893158924.\nAnswer: 2, 9181, 51551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**2. Suppose -3*p = 3*v, -2*v - v - 4*p = 2. Let r(j) = -12*j**2 + 9*j**2 - 15*j**2 - 7*j**v. Determine w(r(l)).\nAnswer: -625*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -78\/49 or 1?\nAnswer: -78\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -13212\/1115 < -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 6*i + 585. Let p(s) = 3*s - 18. Calculate c(p(b)).\nAnswer: 18*b + 477","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the second derivative of -n**4\/3 + n**2 - n. Let b(z) = 200200*z - 400355*z + 200162*z. Determine r(b(p)).\nAnswer: -196*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 29 * 0.02\nAnswer: 0.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -241, -373, -505?\n\"Answer: -132*c - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 3*z, -21*z = 3*h - 18*z - 6. Solve -3*b - 7 = 5*t + 16, h*b - 3*t - 7 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 18*g - 6*g. Suppose 2*n - 6 = 6. Suppose o = n*o + 5. Sort o, g, -3 in decreasing order.\nAnswer: g, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 28 - (-21 + 2 + 70 + -25)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -496 >= -1.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*z - 18*z - z - 95*z to j + c*z and give c.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.5 - 0.55. Let r = -1.1 - -0.7. Which is the nearest to 1?  (a) r  (b) 5  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 4  (c) 2\/41  (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/174336 and 1\/290560?\nAnswer: 871680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes after 12:40 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -17916 + 26335. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 2458?\nAnswer: 2454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) -1\/2  (b) 3  (c) -324  (d) -1525  (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/10 + 72\/20. Let g(n) = 20*n**2 - 6*n + 5. Is g(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 2*z**3 + 36*z**2 + 2*z + 36. Determine s(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 1 - 5 = 0. Let s be (-8)\/3*(-9)\/m. Suppose 5*q - 4*q - s = 0. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13 - 8. Solve 5*z - 3*k - 19 = k, -5 = r*k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.200802m to micrometers.\nAnswer: 200802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of 16 and -115.431.\nAnswer: -99.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 minutes before 1:05 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -242*u**2 - 719*u - 50. Calculate s(-3).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, q: 2, g: 1}. What is prob of sequence qqg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z + 3*f - 112, 5*z - 51 = -5*f + 94. Suppose 4*v - 31 = z. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -24562 + 24538. Put -0.5, -0.2, -2\/15, 1, o in descending order.\nAnswer: 1, -2\/15, -0.2, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 10a - 2?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -59103871 - -23.44591\nAnswer: -59103847.55409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the first derivative of o**5\/10 - o**4\/2 + 4*o**2 - 26*o - 25. Let v(i) be the first derivative of x(i). Factor v(m).\nAnswer: 2*(m - 2)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (14\/6 - -3)*702\/72 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that x**2\/4 - 25*x\/4 - 957\/2 = 0.\nAnswer: -33, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -j**2*x**2 - j**2 - 103*j*x**2 + 154*j*x wrt x?\nAnswer: -2*j**2 - 206*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y + 9*y - 5*y)*(-1 - 1 + 1)*(-115*y + 458*y + 666*y)*(-2*y**2 + 2*y**2 + 3*y**3 + (-3*y**2 + y**2 + y**2)*(-3*y - 2*y + 3*y)).\nAnswer: -15135*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 634126207 by 4434449.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/(-5))\/(1\/(-10)). Let v(q) = 2*q**2 - 4*q + 3. Is v(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 - 159\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the first derivative of -159 + 1\/3*g**3 - 124*g - 5\/2*g**2. Find the first derivative of t(p) wrt p.\nAnswer: 2*p - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from qppqypppqppppppppppp.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*m**5 + 440*m**4 + 1825*m**3 + 1400*m**2 - 1820*m - 1840 = 0. Calculate m.\nAnswer: -2, -1, 1, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 22\/(-121) + ((-64)\/(-66))\/(-2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -331 + 520. Let z = -112 + j. Suppose v - 13 = z. What is the highest common divisor of 30 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h\/(h\/(h**4\/h))*h*h))**(-3\/17)\/(((h*h*h**(2\/9))\/h)\/h*h**(-4\/5)) assuming h is positive.\nAnswer: h**(982\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-12)\/(-780)*(20\/(-8) - -2). Which is the nearest to 0.1?  (a) f  (b) 6  (c) -3  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8.6 + 11.6. Sort p, -0.059, -0.4, 4.\nAnswer: -0.4, -0.059, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-24)\/(-16)*(-5264)\/(-6).\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6627002*a - 6626999*a - 321 - 220.\nAnswer: 3*a - 541","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that 32\/3*f - 4\/3*f**2 - 64\/3 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -2375*j - 19882. Give n(-8).\nAnswer: -882","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 6, -4, -3, -23, 0 in decreasing order.\nAnswer: 6, 4, 0, -3, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -140, 11, 270, 643, 1136, 1755, 2506?\nAnswer: 3395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -5*v - 23, -4*v - 3*a = -5*v - 11. Let d(p) = -p**3 + 7*p**2 - 5*p + 1. Let u be d(6). Let s = u + v. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 3360*a**2 - 1686*a**2 + a - 1675*a**2 - a. Let g(q) = -2168*q**2. Calculate g(i(s)).\nAnswer: -2168*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.049  (b) 5  (c) -38\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes after 6:52 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the third derivative of 0*n**3 + 0 - 1\/12*n**5 + 0*n - n**2 + 0*n**4. Let m(q) be the third derivative of q**5\/15 - 116*q**2 - 51. What is s(m(f))?\nAnswer: -80*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7 - -14. Let p = x + -3. Suppose 0*f + p*o + 13 = 3*f, -2*o = 2. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 + -101 + (-6 - 0) + -175 + 188\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (240\/(-28)*(-1680)\/480)\/(5\/12*1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 376688.9km in micrometers?\nAnswer: 376688900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2700746 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*m + j - 6*j = -21*m + 8, 0 = 5*j - 25 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d + 1095 + 960. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p\/(p\/p**(-3\/7)))\/p)\/p*p)**(-2\/47) assuming p is positive.\nAnswer: p**(6\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 240975.\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2271434*d**3*s + 6*d**2*s + 340316*d**2 wrt d.\nAnswer: 13628604*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4662*a + 1712*a + 346 + 228 - 176.\nAnswer: 6374*a + 398","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**3 + 6*v**2 - v - 5. Let r be w(-5). Let p = 36 - r. Solve -4 = -2*o + g, -2*o = o + g - p for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 80249?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1448 and 182086.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand s**3 - s**3 + 2*s**5 + 3*s**5 - 5*s**5 + 0*s**5 + (-2 + 2 + 2)*(5*s**5 - 2*s**5 - 5*s**5) + (3 - 3 + s**3)*(-s**2 + 0 + 0).\nAnswer: -5*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -374601 + 781390. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from {s: 2, w: 1, g: 6, k: 2, h: 2, i: 4}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -262 + 262.3. Sort h, 1\/9, 1.\nAnswer: 1\/9, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -1 + 6*i - 21*i + 4 - 5. Is b(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -13*m**2. Let u(v) = v**2 - v - 3. Let n(b) = -45*b**2 + 54*b + 162. Let j(s) = -n(s) - 54*u(s). Give t(j(o)).\nAnswer: -1053*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -132*n + 228*n - 113*n.\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 2*x**2 - 6*x + 3. Calculate w(6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 - 10011100101?\nAnswer: -10011101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - (-144)\/(-27))\/((-2)\/24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4.89 - -0.11. Let r = -848 + 851.43. Let d = -2.03 + r. What is the second smallest value in 4, -3, d, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27156952 is divided by 1748?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 562608 + -3282?\nAnswer: 558316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 4\/30*3*(-100)\/2880*-16\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7827 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -1\/3*y**2 + 1\/3*y + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 202742*g**3 + 9406*g**3 - 6*g + 2*g.\nAnswer: 212148*g**3 - 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -915, 0.2, -88, 0.3 in increasing order.\nAnswer: -915, -88, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 8, u: 2}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 145 = -8*j + 145. Solve j = 5*q + 20, 0 = -2*v - 4*q + q - 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 166*n + 2463 - 2459 - 45*n - 70*n**2 wrt n?\nAnswer: -140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 8*t - 10. Let u be (-20)\/(7*(-2)\/28). Let c(q) = q - 1. What is u*c(i) - 4*a(i)?\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 + 3 - 6) + -7 + 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -18*f**2 + 249*f - 261. Let k(w) = -11*w**2 + 124*w - 131. Let v(h) = -6*i(h) + 10*k(h). Factor v(d).\nAnswer: -2*(d - 1)*(d + 128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -228254 + 333776. Let k = 105504.9972 - y. Let z = -17 - k. What is z rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -319.09254 + 319.2. What is m rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7194, 14386, 21578, 28770?\nAnswer: 35962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q = 10*i - 70, -i - 16*q = -18*q - 1 + 38 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 14849691?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 933389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 79*o**2. Let p(n) = -46*n**2. Determine k(p(d)).\nAnswer: 167164*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110111000011100111 - -11?\nAnswer: -110111000011100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 79203372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 395600029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -2130144102 (base 5) in base 4?\nAnswer: -101103300322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2.5, 0.5, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 425, 413, 393, 365, 329, 285, 233?\n\"Answer: -4*u**2 + 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - -6) + -3 + 7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 11777, -619, -4\/5?\nAnswer: 11777","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 27334 and 158?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 158*l - 3583 - 1315 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*h**2 - 2*h**2 + 0*h**2 - 3009*h**3 + 10320*h**3 - h**2.\nAnswer: 7311*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 184.36788 seconds in days?\nAnswer: 0.0021338875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i - 5. Let t be y(-8). What is the second derivative of -2*s**t + 8 + s**3 - 4*s - 8 wrt s?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -263*c**3*k**2*n**2 - c**3*k**2*n + 19*c**3*n + 97*c**3 + 2*c**2*k**2*n + 74*c*k**2 - 721168*k**2*n**2 - 11*k**2*n wrt n?\nAnswer: -526*c**3*k**2 - 1442336*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*o - 12*o - 59 - 13*o + 39*o as u*o + d and give d.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 15 = -b, 0 = b + 3*z + 1659104 - 1659054 for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**2. Let p(w) = 2*w**2 + 2*w. Let i(q) = -38*q**2 + 4*q. Let l(n) = -2*i(n) + 4*p(n). What is z(l(h))?\nAnswer: -7056*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 2752746*n. Let c(j) = j**2. Calculate c(v(k)).\nAnswer: 7577610540516*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9636 and 20.\nAnswer: 48180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pr when two letters picked without replacement from rrpprrr.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -15*w - 41. Let q be p(-3). Let g(o) = -1 - 7 + 1 + o - 3. Let u be g(12). Sort 0, q, u.\nAnswer: 0, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 0 + (-21 + 15 - (3 - 23))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 308202 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.8 + -0.2. Let x = -4.5 - -5. Let w = x + d. Which is the closest to 1?  (a) -0.4  (b) -0.3  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36024403.\nAnswer: 36024403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:50 AM and 11:19 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 25 + -23533235?\nAnswer: -23533210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-237)\/(-996) + 2\/(-8). Let r = 270 - 273. Let t be 4\/r - (-16)\/24. Which is bigger: t or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 930 (base 16) to base 2.\nAnswer: 100100110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1820 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (347\/1752 - -1) + -7 + 4. Let q = 98\/657 + p. What is the common denominator of q and 29\/45?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -4*b**3 + 673956*b**2 + 4*b - 673956 = 0.\nAnswer: -1, 1, 168489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -41494.1953 rounded to the nearest 10?\nAnswer: -41490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 168 and -4218791.\nAnswer: -708756888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*b + 11*b = -330 - 88 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1216 - -3935. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 16*d - 35. Suppose -20 = -2*c - 2*n, -3*c + 0*n + 26 = n. What is the units digit of r(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.25750639 to two dps.\nAnswer: -2.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Do -3417009 and -3417007 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.1  (b) -1\/7  (c) -4  (d) -7669  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f**3 - f**3 + f**3)*(-3*f**2 + 3*f - 3*f) + (-3*f + 2*f - 3*f)*(-f**4 + f**4 + 2*f**4).\nAnswer: -2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (32\/(-104) + 168\/208)*-36.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1601827*h**2 + h + 31363 wrt h.\nAnswer: -3203654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -351*j**2 + 117*j**3 - 381*j**2 + 1094*j**2 - 362*j**2.\nAnswer: 117*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 349966.\nAnswer: 2, 233, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:56 AM and 8:23 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 102 + 14?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 910 and 36610?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 0.048  (b) 0.3  (c) 619  (d) 3  (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p = -n + 5, 96576*p - 96580*p + 8*n = 100 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 229*j + 0*j + 128*j - 33*j. Let k(l) = 2*l**2. What is m(k(u))?\nAnswer: 648*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*a + 215739 - 119165 = -210691. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*k**5 + 0*k**5 - k**5 + 3*k**5 + k - k + (5*k + 2*k - 5*k)*(2 + 3*k**4 - 2) + (-k**2 - 1 + 1)*(0*k**2 + k**3 + 0*k**2).\nAnswer: 10*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3*(-4 - (-141)\/36). What is the third smallest value in 3\/5, -2\/5, q?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-12)\/(-10) - (9\/(-24) - 172\/(-160)). Let z be (-15)\/12*2\/5. Which is the biggest value?  (a) z  (b) l  (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the first derivative of 3*s**4\/8 + 143*s**3\/3 + 1680*s**2 - 2304*s - 267. Determine q, given that m(q) = 0.\nAnswer: -48, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -85, -2, 1\/6, 2\/3, 1\/3 in decreasing order.\nAnswer: 2\/3, 1\/3, 1\/6, -2, -4, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -14 - -24. Let x(i) = -3*i**3 + 11*i**2 - 5*i + 2. Let r(n) = -n**3 + n. Let q(y) = -2*r(y) + x(y). Calculate the lowest common multiple of q(v) and 16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1334 + 7975\/6. Let y = -10\/3 - m. Factor -y*u**2 + 9\/4*u**5 + 1\/4 + 5\/2*u**3 + 21\/4*u**4 - 3\/4*u.\nAnswer: (u + 1)**3*(3*u - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2884702265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**3\/7 + 6063*c**2\/7 + 1354680*c + 125762868.\nAnswer: (c + 99)*(c + 2982)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -85482127\/1872 - -410974\/9. Find the common denominator of -123\/10 and q.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 910 + -154. What is the remainder when i is divided by 76?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + o - 5*a = -20, 3*o + 25 = 2*a. Let s = -707 - -708. What is the second biggest value in 3, o, s, 2\/19?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5622 - 5622 - s**2 + 2*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.04, -3, 2\/2631.\nAnswer: -3, -0.04, 2\/2631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7404*b + 36943*b - 7397*b - 7393*b - 7381*b - 7396*b.\nAnswer: -28*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 3*v**3 + v**2 + v. Let u be i(-1). Let r be u*(-5)\/(10\/4). Let s(p) = p**2 - 3*p - 1. What is the common denominator of s(r) and -103\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2187 = x + 2*x. Suppose -6*q = 3*q - x. Let j = q - 32. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Round -0.0504720873 to 5 dps.\nAnswer: -0.05047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*r + 1006 - 206 = 0. What is the highest common factor of r and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11261 - 11261.1. Sort -2\/17, -2, -0.3, -0.4, k.\nAnswer: -2, -0.4, -0.3, -2\/17, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0426792056 rounded to five dps?\nAnswer: -0.04268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of -2*i**5\/15 + 5*i**4\/12 + 2*i**2. Let l(d) = -d**2 + d. Let j(v) = 10*l(v) - m(v). Let n(b) = 2*b. Give j(n(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2412349888.\nAnswer: 2, 13, 2899459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7127 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0, -3, 1733, 2, 8 in ascending order.\nAnswer: -3, 0, 1, 2, 8, 1733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2702 at most as big as 2677?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.1 and -25367?\nAnswer: -27903.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*u - 50*u = 4. Let v(z) be the second derivative of -1\/48*z**u - 1\/4*z**2 - 1\/8*z**3 + 0 + z. What is a in v(a) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*q = -2*w - 35*q + 4, 0 = -3*q - 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t. Determine j(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 3*t - 7, -t + 5*t + 5*l = 22. Suppose 4*d = t*d. List the prime factors of -19*(1 + d + -2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*g + 101*g - 6739 = -144*g + 10171 for g.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4231437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -w + 4*w - 4*s, 2*w + 2*s + 16 = 0. Suppose -k = -2*k + 2. Let h(v) = 7*v - 2 - 3*v**2 - v**3 + 6 + k. Determine h(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 5*o - 2751015 = 0, 5*z - 4*o - o + 4585015 = 0. What is z rounded to the nearest ten thousand?\nAnswer: -920000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 8*o = -1695. Does 41 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -400506956088 plus -0.8?\nAnswer: -400506956088.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * 94106.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kzc when three letters picked without replacement from ziqiiickiqiqqkziqc?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -336 divided by -164.\nAnswer: 84\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 184120 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 135*c + 209. Let o be k(25). Suppose -106*u + 102*u + o = 0. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5996?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 15 - 5, -2*v = -4*y - 10. What is the units digit of (y\/4)\/2 + 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 267 + -888860?\nAnswer: -888582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 715367 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 26514 + -20?\nAnswer: 264a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/72 and 17\/546160467?\nAnswer: 13107851208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4 + 5232.228120907.\nAnswer: 5232.628120907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) 4  (c) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 697541 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -98*o = -105*o + 35. Let b(k) be the second derivative of -k**4\/12 - k**3 - 3*k**2\/2 + k. Let d be b(-5). Solve 4*c - d - 6 = 0, o*j - 20 = -5*c for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16410 and 65?\nAnswer: 213330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (124\/(-6))\/((-36)\/(-432)). Let z = 568 + n. What is the greatest common factor of z and 256?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.3  (b) 1  (c) 15\/224  (d) -9  (e) 0.2  (f) -6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 378028 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 i be 9840 + 45\/(-75) + (-42)\/5. Calculate the highest common divisor of 87 and i.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(72)*6)\/sqrt(3))\/((sqrt(800)*1 + sqrt(800) - sqrt(800)) + sqrt(8) - sqrt(40)\/(3*sqrt(5))))**2.\nAnswer: 243\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b**2 + 21. Let f be y(9). Let k = f - -170. Is k a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 0 - -560?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 839, 923, 1487, 2765, 4991, 8399?\nAnswer: 13223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express i**2 - 3*i**2 + 3*i**2 + (3 - 8 + 30)*(-32*i**2 + i**2 - 13*i**2) + 0*i**2 + 4*i**2 + i**2 in the form d*i**2 + v*i + o and give d.\nAnswer: -1094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 2*b**3 + 9*b**2 - 11*b - 4. Let r(d) = -7*d**3 - 28*d**2 + 34*d + 10. Let o(k) = -10*g(k) - 3*r(k). Calculate o(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -741145\/37 - -20031. Which is the biggest value?  (a) i  (b) 1\/3  (c) -55\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57016101 to the power of 1\/2, to the nearest integer?\nAnswer: 7551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-36492700)\/(-949) - (-2)\/13. Suppose -42*w + 68*w - c = 0. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 9\/(-6)*(4 + (-16)\/3). Suppose 65 = 5*i - 2*p, -x*p + 4*p + 54 = 4*i. Solve 0*b - s + 3 = -2*b, -4*b = -s + i for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 119042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that 5*p**4 - 1254105*p**3 - 40135200*p**2 - 321091840*p = 0.\nAnswer: -16, 0, 250853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put together 3767 and -90.4121242.\nAnswer: 3676.5878758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(312)*5*1)\/(-1*sqrt(54)).\nAnswer: -10*sqrt(13)\/3 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -321, -652, -983?\nAnswer: -1314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5847065420.\nAnswer: 2, 5, 7, 1987, 21019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -14*j - 389. Let o be n(-28). Let p = -0.01 - 0.09. What is the closest to p in 2\/3, 7, o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 4, e: 2, i: 1}. Give prob of sequence bibb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (9\/6)\/((-3)\/(-8)). Let j = 13 + y. Suppose 2*r - j = k, 0*k = -3*k - 15. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 7*q**3 - 666*q**2 + 94*q + 108. Give h(95).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**2 - 8*b - 5. Let w be r(-1). Suppose 4*o - 1751 = -3*v, -4*o + 650 = w*v - 520. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 40324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*s - 28*s + 65 = 128 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (4\/10)\/((-2)\/(-180)). Suppose 0*q = -3*q - o. List the prime factors of 25\/(-15)*(q\/(-1))\/(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 954 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -45 - -47. Suppose -m - 3 = d*m. Let s = 3 + m. Calculate the smallest common multiple of 3 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 16086126 or 16086130?\nAnswer: 16086126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -754634 = 3914*n - 230158 for n.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in a**3 - 1007*a**2 + a**3 + 1007*a**2.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x + 1. Let n be o(12). Let j be -3 + n + 4\/(-1). Suppose -2*a = -b + 8, 4*b + j = 4*a + 42. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 14*p**2 + 71*p - 4. What is y(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.101 - 0.779. Let l = -0.880087 - d. Round l to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(612)*-2)**2 + sqrt(1700) + 2*sqrt(1700) + -5.\nAnswer: 30*sqrt(17) + 2443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/((-845)\/(-78))*600\/(-48)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 968 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -9786282 - -2?\nAnswer: -9786280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes after 2:42 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 242751904 divided by -19\nAnswer: -12776416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -3, -68 in descending order.\nAnswer: -3, -4, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -19.361 - 0.039. Let u = -19.8 - r. Which is the fourth smallest value?  (a) 1\/3  (b) 0.16  (c) u  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6336*q**2 + 153024*q?\nAnswer: -12672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58 - 76 = -30*i - 44. What is the second smallest value in i, 0.1, 4, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110 - 111111000000011111101110011?\nAnswer: -111111000000011111101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -1380 - 4134. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2 or -2313909?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2\/39669 + -79376\/753711. What is the fourth biggest value in 2, -3\/8, p, 1\/6, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the second derivative of 2*r**3\/3 - 4*r. Suppose 8*i + 2299 - 13811 = 0. Let g(m) = i*m + 3*m**2 - 1439*m. Give g(d(a)).\nAnswer: 48*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3339574*b**2*i + 3*b**2 - 4*b*i + 696*b - 4997 wrt b?\nAnswer: -6679148*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*a**5 + 11*a**3 + 195*a?\nAnswer: 60*a**3 + 66*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 15543, 62130, 139761, 248436?\n\"Answer: 15522*t**2 + 21*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3*2\/6 - -1. Suppose 0 = m*t - 0*t - 8. Suppose -5*d - 11 = -g - t*d, g - 27 = -3*d. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (162\/8)\/((-8)\/32). Let k = d - -9. Let b = 127 + k. What are the prime factors of b?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4667.527 * 5.7.\nAnswer: -26604.9039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 22576 or 23260?\nAnswer: 23260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - -1 - (-12 + 21 + (1 - 1))) + 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 387, 1592, 3669, 6666, 10631?\nAnswer: 15612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*o - 75*o = -1700. Let y = 11 - 9. Let f be 50\/(-1)*y\/(-5). Are f and o unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, h: 1, g: 1, e: 5}. Give prob of sequence nh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 8, f: 4, s: 1, i: 5}. What is prob of sequence isi?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 15328 divided by 3832\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 47 + 12 = 0. Calculate the remainder when 51 is divided by 89\/u - 18\/(-63).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 431 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:22 PM and 5:47 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 29.06 - 2.46. Let b = 27 - h. Let n(g) = g**2 + 6*g + 3. Let w be n(-5). Sort w, b, -1\/3.\nAnswer: w, -1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 56277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 969 divide 2489008766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is c in c**3\/7 - 6562*c**2 + 528033865*c\/7 - 12646368600\/7 = 0?\nAnswer: 24, 22955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 268211795?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/10*-4*150\/(-210).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*y**3 - 23*y**2 + 57*y**3 + 23*y**2 + 41*y**3.\nAnswer: 117*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 3*l - 18 = 12, 4*l = -2*t - 14. Suppose 45 = 3*j - t*h, 4*j - 32 - 14 = -3*h. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6250 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the first derivative of -1\/2*g**4 + 0*g - 44\/5*g**5 + 24 + 0*g**2 + 3*g**3. Find the third derivative of w(z) wrt z.\nAnswer: -1056*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 22 + 102021222?\nAnswer: 102022021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 49082\/5 - 9816. Solve 4*j**2 - 4*j**3 + 2\/5 + 2*j**4 - b*j**5 - 2*j = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 46 = 58. Which is the smallest value?  (a) k  (b) -6  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 196 - 194. Suppose 5*t - o = 15, y*t - 9 = 8*o - 7*o. What is the highest common factor of t and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) 13\/2  (b) 5  (c) 452\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-27)\/((l*l\/l**(-4\/11))\/l))\/(l**(-11)\/(l*l\/l**27*l)) assuming l is positive.\nAnswer: l**(-455\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 522.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2\/47, 0.05, 537, 17, -9\/2 in increasing order.\nAnswer: -5, -9\/2, -2\/47, 0.05, 17, 537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -2*c - 18. Let q be s(-10). Let z be -2 + (q - (-3)\/(-3)). Let u(n) = n - 4. Let f be u(6). Put f, z, -4 in descending order.\nAnswer: f, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 93*c + 9037 = 86*c. Let m be c\/(-6) + (-13)\/78. What is the greatest common divisor of 86 and m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -3*q - 1. Let t be n(1). Suppose 2*c + 1 - 5 = 0, 5*p - 3*c = 14. Sort p, t, 3 in increasing order.\nAnswer: t, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7.7 - 8. Let d = 0.1 - t. Let r = 0.03 + -0.13. Which is the second smallest value?  (a) -1\/2  (b) d  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 41 in 1, -2\/3, 24, -3, 5?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 = 2*n - 181. Is -10*(n\/(-6))\/3 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and 181.\nAnswer: -543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 9?  (a) -2  (b) -0.9  (c) -0.4  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(1\/11)\/(f*f**(-3\/8))*(f\/(f*f\/((((f**(-6\/13)\/f)\/f)\/f)\/f))*f*f)\/(f\/(f\/(f**12\/f))) assuming f is positive.\nAnswer: f**(-17155\/1144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3455083 to the power of 1\/2, to the nearest integer?\nAnswer: 1859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0\/(-21))\/(-12)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-44)\/(-10) - (-4)\/(-10). Let y = 47 - 51. Put -1, l, -3, y in increasing order.\nAnswer: y, -3, -1, l","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 bolllllqbbqgbolq.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(76) - (sqrt(76) - -5*(-1*sqrt(76) + sqrt(76) - sqrt(76))))*-3)\/((sqrt(24)\/(sqrt(2)*-2))\/sqrt(3)).\nAnswer: 1 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*k - 2*d - 2*d - 24 = 0, -42*k - 5*d - 13 = -41*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 + 16 + (-15 - -12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 265 - 263. Is (8605\/k)\/((-153)\/(-18) + -8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/5  (b) 10\/133  (c) -389  (d) 0  (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14198331?\nAnswer: 3, 7, 676111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 81097, 81161, 81225?\n\"Answer: 64*z + 81033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000411563 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:33 AM and 7:04 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the first derivative of -1\/9*p**3 + 52\/3*p**2 + 147 - 2704\/3*p. Solve c(j) = 0 for j.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**2 - s + 6. Calculate b(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 8*s**2 + 255*s - 121. Give c(-41).\nAnswer: 2872","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 458196 is divided by 1992.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**2 - 129*n + 2182. Calculate x(109).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000881 rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/(-18) - 121\/(-99). Suppose 0*h + 10 = 4*u + 2*h, -3*u + 5*h + m = 0. Solve -3*k + 4 = -5*n + 18, -5*n = k - u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 at most as big as 118\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(1\/15)*f**(-16)*f*f**14\/(f**(-5\/2)*f) assuming f is positive.\nAnswer: f**(17\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3\/10*80\/(-96). Let w = -14 - -15.1. What is the nearest to w in 0.1, x, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - 11 - (13 - 8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 0.5, 1, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 11\/8156, -1\/5, 2\/9, 4.4?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8 in -1\/3, 1, 0.4, -2\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*m - 3*m - 2*m**4)*(0 + 0 + 2) + 0*m**4 + 0*m**4 + m**4 + 4*m**4 - 6*m**4 + 0*m**4 + 0*m**4 - 5*m**4 + 3*m**4 + 1 - m**4 - 1)*(0 + 4 - 1).\nAnswer: -24*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -2*o - 21 - 2*o - 12 + o. Let n(f) = -14*f - 123. Let w be n(-7). Does 10 divide r(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-255)\/(-17595)*3*1?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -4883, -4882, -4881, -4880, -4879?\n\"Answer: x - 4884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -274, -423, -632, -913, -1278, -1739?\n\"Answer: -2*i**3 - 18*i**2 - 81*i - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 13*w**2 + 32*w - 2383. Is b(-74) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - 2 - 13. Let d(i) = -i + 5. Let u be d(0). Solve u*p = f*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 990\/20 + (-3)\/2. Suppose 3*r - 2*k + 0 = 1, -3*k = -3*r. Let l be (9*r)\/((-6)\/(-8)). Calculate the highest common divisor of z and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12*j**2 - 1455*j - 363.\nAnswer: -3*(j + 121)*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y\/(y\/(y*y*y**(2\/5)))*y))\/y)\/y**(-5)*y**(-3\/5)\/(y*y*y*y**(-2\/7)) assuming y is positive.\nAnswer: y**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.8?  (a) -37  (b) -577  (c) 0.4  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 97000053 is divided by 1759.\nAnswer: 1757","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1435201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -4*u - 9, -4*d = -3*d - 2*u - 3. Put d, -2, -1 in decreasing order.\nAnswer: -1, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 7*g - 3. Let c be r(1). Let q(v) = -v + 8. Let s be q(6). Solve -2 = c*i + s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79 = 3*x - 638. Let p = x + -161. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 149 - 117. Calculate the remainder when f is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96.31374ug in milligrams?\nAnswer: 0.09631374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 31541*f**3 + 5*f**2 - 5044*f**3 - f**2.\nAnswer: -36585*f**3 + 4*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:07 AM and 9:10 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 254.962 - 252.9. Let j = m + -0.062. Put 0.3, -0.12, j in ascending order.\nAnswer: -0.12, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 13 - -347. Is n a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -304285010 divided by -20158?\nAnswer: 15095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y - 120 + 125 = 0, -8 = -5*w - 3*y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-920)\/280 - 10\/14.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -5*f**3 - 4*f**2 + 6*f - 7. Is 22 a factor of r(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**3 + 7*x**2 - 2*x + 2. Suppose 6 - 4 = t - k, 0 = 3*t - 2*k - 6. Suppose -3*u + 6 = -t*u. Calculate the remainder when 77 is divided by r(u).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.168172 - -458.778372. Let x = u + -0.1102. What is x rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -a1c4b - 7b?\nAnswer: -a1cc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*v + 35118310*v**3 + 0*v - 35118319*v**3.\nAnswer: -9*v**3 + 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the third derivative of -r**4\/12 - 6*r**2. Let w(z) = 6*z. What is w(x(v))?\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**2 - 944*q. Let l(o) = 12*o**2. Calculate r(l(v)).\nAnswer: -144*v**4 - 11328*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24595 + 14014 = 567*l + 13465 + 20747 for l.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -34 - 26 + 25 - 2 - 68*t wrt t.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:46 AM and 8:55 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4963 - 295591 = 4*c. Let f = c + 13657. Round f to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 4*y + 2 = 1, 4*g = y + 30. Suppose g = 2*n - 23. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -8*b**2 + 259*b + 258. Determine c(34).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 603*m + 528*m - 1307*m. Let f(n) = -83*n. Calculate w(f(i)).\nAnswer: 14608*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -133 + -221410224?\nAnswer: -221410412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = 10*x - 29 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 = 2*f - 3*f. Let p(b) = -2*b - 22. What is the remainder when f is divided by p(-22)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 72 - 70. Find the second derivative of h + 8*h - 16*h - 24*h + 25*h**w wrt h.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 14462 + 35815 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -387*k + 1144 - 1144.\nAnswer: -387*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(40)\/sqrt(2)*2)\/(sqrt(30)\/sqrt(3)*3))**2 + (sqrt(2) + 0 + 3 - (-1*sqrt(2) + -5)**2).\nAnswer: -208\/9 - 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 377, 382, 389, 398, 409?\n\"Answer: f**2 + 2*f + 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-54)\/4*3380\/(-2535).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (65 + (-9 - -10))*((-63)\/441 + (-26)\/(-84)). Suppose -r + 1\/3*i**2 - 32\/3*i = 0. What is i?\nAnswer: -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 274, 548, 820, 1090, 1358, 1624, 1888?\n\"Answer: -s**2 + 277*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72312 = -96*i + 119*i. List the prime factors of i.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j = -4*s - 3 + 31, -5*j = 3*s + 95 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v - 6. Let q be (-1)\/4 + (-145)\/(-20) + -1. Calculate u(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -26 by 13012.\nAnswer: -13\/6506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 6d + -5?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 101763 divided by -11307\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 19.642611358 - -2.\nAnswer: 21.642611358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*k - k + 0*k)*(0*k + k - 3*k)*(-6 - 25 - 1) to the form f + j*k**2 + a*k and give j.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 7396319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -85144*k - 1160. Let u(h) = -220*h - 3. What is 6*c(o) - 2320*u(o)?\nAnswer: -464*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*k + 3 = -16*k. What is the lowest common multiple of (k - (-8)\/(-12))*3 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-35)*(-1239)\/(-2655)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -17 + 1 - 8*o**2 - 2 - 8*o**2. Let a(r) be the first derivative of -r**3\/3 - r - 79. Calculate -36*a(t) + 2*n(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 109494.\nAnswer: 2, 3, 7, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1113\/(-60) - (-2)\/(-8). Let m = -92\/5 - y. Let h = 8.1 + -10.1. Which is the closest to m?  (a) h  (b) -3  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-30)\/(-14))\/((-136)\/((-4575312)\/890))\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -2*q**2 + 36*q + 9. Let j(d) = d**2 - 18*d - 5. Let p(t) = -3*b(t) - 7*j(t). List the prime factors of p(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 - 5)*(3 - 3 + f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*f**3 - 4*f**3 - 7*f**3 - 7*f**3.\nAnswer: -28*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, m: 1, s: 9}. What is prob of picking 2 s?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 7090\/143099 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.017186002705+-1615\nAnswer: -1614.982813997295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -1881 less than or equal to -1881?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b = 2*b - 4. Let u = b - -1. Suppose q + 64 = 5*q - 4*f, 0 = -5*q - u*f + 104. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2026763*d + 2026763*d + 3*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-33)\/(-6) - 1)*-2. Let o be (18\/u)\/(1 + -2). What is the tens digit of -1*13\/o*-14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.41834191 take away 0.12781?\nAnswer: -0.54615191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.04399 and 3?\nAnswer: 0.13197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -348 or -534?\nAnswer: -534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1721 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(11) + 4 + (-6*sqrt(539) + sqrt(539))**2 + sqrt(44)\/(sqrt(4)*4*2) + 1.\nAnswer: 9*sqrt(11)\/8 + 13482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 369 + -365. Suppose c*g + 2385 + 3774 = l, -3*g - 24584 = -4*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 76414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51*o**2 - 19*o**2 + 1 - 1 + 77*o**2.\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -107 - -105. What is the nearest to -10 in 5, n, 0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 687*j - 684*j. What is the third derivative of 8*u**2 - 8*u**3 - u**6 - 102*u**5 - 3 + 11 + 8*u**3 - j wrt u?\nAnswer: -120*u**3 - 6120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 + -21. Let g = 63 + z. Suppose x - g = j, -179 = -5*x + j + 24. What is the greatest common factor of 280 and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 4, 2\/3, 10\/9, -2\/15 in descending order.\nAnswer: 4, 10\/9, 2\/3, 0.1, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 867 - 877. Which is smaller: a or -1\/21?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-256)\/(-48) - 6 - 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26 - ((-1794694)\/37345 - 2\/(-35)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, w: 5, j: 3, l: 3, u: 1}. What is prob of picking 1 j and 1 l?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.13 * -15050.\nAnswer: 1956.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**3 + 12*o**2 - 40*o + 12. Is w(-13) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j - 58 = -12*p + 14*p, 106*j - 104*j + 2*p = -74 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 183 = -2*v - 3*i, 3*v - 2*i + 505 = -2*v. Let u be 18\/v - 48\/(-22). Find the third derivative of u*a**6 - 713*a**2 - 4*a**6 + 710*a**2 - 3*a**6 wrt a.\nAnswer: -600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7930?  (a) 3  (b) 0.7  (c) -0.65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -928640 + 1599134338\nAnswer: 1598205698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7 - -2. Let g = -96 - -56. Let c = 36 + g. What is the nearest to 0.1 in c, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 168982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 - 1d?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (450\/(-900))\/((-9)\/(15768\/(-12)))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2492 - 1298. Let r = 68315\/18 + w. What is the common denominator of r and (3\/(-4))\/(-4*3)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -205\/2 + 115. Find the common denominator of -63\/10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and -0.037.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(209)\/((sqrt(275)\/sqrt(5))\/sqrt(5)))**2 - (sqrt(1216) + -2 + sqrt(1216) + sqrt(1216))*-5.\nAnswer: 9 + 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 at most -303.013?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4120 + 171*g + 1969 + 2153.\nAnswer: 171*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (3\/9 + 0)*-9*-1. Let z be 13 + -1 + 2 + -3. What is the third derivative of -z*m**a - 2*m**2 - m**2 + 9*m**3 wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**2 + 3*r + 8. Let b = 13 + -18. Let i be s(b). Calculate the highest common factor of i and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10891763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 22\/9 of a hour in seconds?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/1 - 139*(-6)\/3. Let y = -144 + s. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -29*s + 40. Let r be v(1). Solve -o - r = -6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*g + 11*g = 0. Suppose -3*r + 9 = q, -5*q + g*q = 2*r + 7. Solve 2 - 6 = r*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 25*m**2 - 355*m + 70.\nAnswer: 5*(m - 14)*(5*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 - 13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (1*3 + 156\/(-60)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is (14064\/10 + 5)\/((-4)\/(-20)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11200245?\nAnswer: 3, 5, 7, 106669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*l = -3*s - 21*l - 25, 0 = -2*s - 3*l + 15. Let y(c) = c + 8. Calculate y(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 2\/31  (b) 0.21  (c) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4.01 - -1273312141.065.\nAnswer: 1273312145.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 1034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 23?  (a) 0.23  (b) 0  (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4731892.\nAnswer: 2, 11, 41, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -11*d**2 - 77*d - 1. Let b(m) = -m. Give b(v(q)).\nAnswer: 11*q**2 + 77*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.02 and 2168.\nAnswer: 2167.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1058, -897, -830, -857, -978, -1193?\nAnswer: -1502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11110000010000 + -101?\nAnswer: 11110000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7817*c**3 + 15610*c**3 - 1 - 7872*c**3 to b + s*c**3 + f*c**2 + d*c and give s.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*x**2 + 58*x + 60 = 0. What is x?\nAnswer: -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 17*j**3 + 0 - 18*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 3 = -12. Let t(x) = 2*x**2 + 2*x - 1. Let o(p) = 3*p**2 + 4. What is the remainder when o(3) is divided by t(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1148 (base 11) in base 14?\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20, 87, 202, 365, 576?\nAnswer: 835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1700 = -8*u - 9*u. Find the second derivative of -28 + 20*t**4 + u*t**4 - 420*t + 424*t + 9 wrt t.\nAnswer: 1440*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -17 - -4. Let h be -2*b*(-15)\/(-6). Suppose -h + 9 = -4*t. Sort 3, t, 2\/3 in descending order.\nAnswer: t, 3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s + 15. Let u be i(6). Find the second derivative of u*d**3 - d - 4*d**3 + 4*d wrt d.\nAnswer: 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 5*r + 6 = 11, 0 = 3*r. Let o be (c*(0 + 1))\/(-3)*18. Calculate the greatest common divisor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 2*f - 502 = -3*f, f + 1004 = 4*r. Is 1 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**3 + 248*k**2 - 716*k + 472.\nAnswer: -4*(k - 59)*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**2 + 19*h - 2986. Let n be f(-65). Which is the nearest to 1?  (a) 2\/13  (b) 95  (c) n  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7964 and 1250084.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15959 is divided by 3236.\nAnswer: 3015","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -16.61 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.28 - 341128329.\nAnswer: -341128329.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 (base 2) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 57593 is divided by 219?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-1936)\/320 + (-42)\/(-6) and 3\/(-52) + 5 + -6?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 18.46717 weeks?\nAnswer: 129.27019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5*(-4)\/(-1150))\/(8\/(-200)*-5)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 549 = -f, 363*f - 540 = -3*a + 359*f. Calculate the lowest common multiple of 506 and a.\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9 - 23.7. Let a = 14.70000255 + t. What is a rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/(-5) - 84\/105. What is the first derivative of -149 - 19*z**4 + 193 + 3*z**4 + h*z**4 wrt z?\nAnswer: -64*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -202430123 + 2?\nAnswer: -202430121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes before 5:01 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.9, 0.5, 427.6?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the first derivative of -c**4\/24 + c**3\/12 + c**2\/2 + 4*c + 5. Let r(l) be the first derivative of b(l). Solve r(n) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.9869844142105 minus -5?\nAnswer: 2.0130155857895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1994066 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 6*z**2 + 2*z - 47. Let s(j) = 7*j**2 + 4*j - 55. Let r(l) = -5*o(l) + 4*s(l). Determine r(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3431 + -5?\nAnswer: 3423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6322 divided by -218.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 + -1. Which is the nearest to 3?  (a) -1\/7  (b) d  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 61384.19 to the nearest ten.\nAnswer: 61380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*w = -8*w + 364 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (186 - 35 + 377)*(0 + 0 + 3*a).\nAnswer: 1584*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 11 = 1. Let c(s) = -s**3 - s**2 + s. Let j(q) = -7*q**3 - 6*q**2 + 7*q. Let f = 6 + -5. Let t(a) = f*j(a) + l*c(a). Factor t(u).\nAnswer: -u*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:05 AM and 12:56 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the third derivative of 17*y**2 - 2 + 0*y - 1\/3*y**5 + 0*y**4 + 0*y**3. Let z(h) = 2*h**2. Determine j(z(f)).\nAnswer: -80*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.006 - 40.006. Let q(t) = -2*t**2 - 52*t - 8. Let k be q(-26). Let d be ((-13)\/(156\/k))\/((-2)\/3). Which is bigger: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 + 0. Let f = -2.6 + 2.71. Let z = -3.11 + f. Which is the second smallest value?  (a) 0.2  (b) i  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffxixfx. What is prob of picking 1 i and 1 x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 7786151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1327*f - 4 = 1323*f - 4*x, 2*f = x - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 2*m + 85 = 0, 0 = 5*g - 7*g - 5*m - 42. Let t = g + 35. Let d(r) = t + 0 + 0*r + 5*r. Determine d(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 52600 by -10520.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4449 - -4469.5. Which is the third biggest value?  (a) 0.5  (b) 5  (c) -4  (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4245543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001540672952 to seven dps.\nAnswer: 0.0015407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-6)\/l*l**16 assuming l is positive.\nAnswer: l**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((-6)\/(-4) - 12\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -318 + 321. Solve 8 = i + 5*h, -2*i + 3*h = g*i + 16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i - 3*g - 16 = 0, 4*g + 190 = -7*i + 196 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 5*k**2 + 162*k + 302. Let a(g) = 85*g**2 + 2755*g + 5135. Let z(v) = 2*a(v) - 35*j(v). Solve z(f) = 0 for f.\nAnswer: -30, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(50)\/(1*sqrt(10)) + sqrt(245) + -1 + sqrt(360)\/sqrt(8) + sqrt(5) + 5))**2.\nAnswer: 1536*sqrt(5) + 11776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 5*x**2 - 9. Suppose 0 = -5*v - 23 - 62. Let h = v - -8. Let p(s) = -6707 - s**2 + 6709 + 0*s**2. Determine h*p(b) - 2*g(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 584109*z. Let p(u) = -u. What is p(q(n))?\nAnswer: -584109*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - o = -3*o - 30, 3*u = o - 15. Let t = u + 11. Is t >= 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z**5\/9 - 34*z**4\/3 + 544*z**3\/3 - 8824*z**2\/9 + 1472*z\/3 + 1664 = 0 for z.\nAnswer: -1, 2, 12, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qc when two letters picked without replacement from {l: 1, s: 1, f: 1, c: 2, q: 1, b: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**2. Let y(h) be the third derivative of -2657*h**4\/4 - 8350*h**2. Determine d(y(g)).\nAnswer: 254147364*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.244423445 to 5 decimal places.\nAnswer: -0.24442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (333\/6)\/(6\/36). Calculate the highest common divisor of d and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20722519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 69961*v - 349773*v + 69956*v + 69958*v + 69957*v + 69951*v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 14*b - 13. Let k be r(13). Suppose 6*h = 35 + k. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -139\/36 and 91\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -21b014 - c?\nAnswer: -21b023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 59*l**2 + 324*l + 3536. Give h(-11).\nAnswer: 7111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**3 + t**2 + t + 9. Let n(a) = -4*a**3 + 2*a**2 + 365*a + 18. Calculate -n(z) + 2*u(z).\nAnswer: 2*z**3 - 363*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + 14 = -v. Let b(t) = t**3 + 14*t**2 + 5. Let f be b(v). Solve -f*x + 32 - 7 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 627468 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.15258 - -101.21742. Let f = -102 + d. Let h = -0.6 - f. Round h to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8214*h**5 + 1807083*h**4\/4 - 165*h**3\/4 = 0. What is h?\nAnswer: 0, 1\/10952, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 21184 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m - 23502*d = -23507*d + 14, -30 = -9*m + d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:10 PM and 11:08 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-30)*2375\/95?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 122 = -3*s + 110 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -15.5?  (a) 0  (b) 5  (c) 1187\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 697, 5506, 18569, 44014, 85969?\nAnswer: 148562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-5))**(-6) assuming y is positive.\nAnswer: y**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes after 3:02 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 105\/(-15) + (-74)\/(-10).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 72 and 8838.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 16 = 5*q, -3*q = 5*y - 8*q - 25. Solve -7 - y = 4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 5*d = -5, 5*y - 25 + 5 = d. Solve -2*o + 3*o = y for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h + 4 + 1. Let g be 36*h*1\/(-4). Let t = g + -23. What is the highest common factor of 198 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.02 times -0.1336\nAnswer: 0.002672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + g**3 - 7*g**3 + g + 3*g**3 + g**3 in the form j*g**2 + v + a*g + p*g**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 (base 14) in base 7?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*(q\/(q*q**4*q)*q)\/q*q*q**(2\/7))\/(q**(2\/9))**(1\/4) assuming q is positive.\nAnswer: q**(-349\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 7*h + 4. Let x(g) = -4 - 6*g - 2 + 3. Let w be ((-5)\/15)\/((-1)\/(-15)). Calculate w*x(n) - 4*t(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 13, s: 2, k: 3}. Give prob of sequence aask.\nAnswer: 13\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/((c**(-16)*c)\/c))\/c)**(6\/17)\/(c**(-2)\/(c*c\/(c\/(c*c\/c**37)))))**(2\/63) assuming c is positive.\nAnswer: c**(-128\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -13 in 6\/5, -0.5, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 455, 460, 475, 506, 559, 640?\n\"Answer: g**3 - g**2 + g + 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l - 4*s - 19 = 0, -7 = l + 23*s - 19*s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3524177.35 rounded to the nearest one thousand?\nAnswer: -3524000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2036 divided by 509.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.29 + -0.79. What is the third smallest value in -1\/5, -41, c, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 163625926 to the power of 1\/3, to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**2\/3 + 95008*f + 1425170\/3.\nAnswer: -2*(f - 142517)*(f + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3\/(-6))\/((-2)\/8). Suppose f = -i*f + 102. Calculate the remainder when f is divided by 1\/3 + (-105)\/(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30350.\nAnswer: 2, 5, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**2 + 15*a + 15. Give i(-13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d - 21 = -3*l, -12*l - 19 = -13*l + 5*d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccjj when four letters picked without replacement from cjccqccjje.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/(-6)*1086\/(-4). Let m = 45 + q. Suppose 0 = -3*l + 4*w - 7, 0*w - 8 = 2*l - w. What is the smallest value in m, -0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - m = -10 + 81, -5*g + 92 = 2*m. Let f(u) = 2*u - 35. Let q be f(g). Which is smaller: q or -4\/45?\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -226 - -412. Suppose -3*j + 3*g = -q, j + 0*g + 4*g - 62 = 0. Suppose 2*i = 4*i - j. Is i a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 79259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -17332 or -86654\/5?\nAnswer: -17332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 726.4816 hours to seconds.\nAnswer: 2615333.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-16)\/(-3)*15\/5. Suppose 2*x = -2*x + i. Suppose -3*c + 11 = -2*k + x, -3*k - c + 17 = 0. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 5.708774kg?\nAnswer: 5708.774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from {c: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 20\/6 + 2\/3. Suppose 0 - 48 = -p*c. Let u = 203 - 200. Calculate the greatest common divisor of u and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0 - 6\/(-18))*0. Let g(v) be the second derivative of c - 1\/6*v**4 + 2\/3*v**3 + 0*v**2 + 5*v. Let a(m) = 5*m**2 - 9*m. Calculate 4*a(r) + 9*g(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*s - 90*s + 2*s - 968 = 0 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 45\/(-25)*(100\/(-15))\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000047889397 to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -14 + 676?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/70)\/(8\/20).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*q + 1060 = 1092 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-6)*33\/(-110).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 24\/19, -1, -3\/13, 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.11  (b) 1\/92  (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 3*g**2 - 13*g + 12. Let c be r(-12). Round c to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*u - 26*u + 100 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 814, 926, 1112, 1372?\nAnswer: 1706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d**4\/3 + 932*d**3\/3 - 27110*d**2 + 891856*d\/3 + 974120\/3 = 0. Calculate d.\nAnswer: -1, 14, 98, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 5*w**2 + 4169*w - 33687. Give n(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 5*o**3 + 4170*o**2 + 386325*o + 9519660 = 0.\nAnswer: -732, -51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d + 5. Let h(s) = -17 - 14 + 74 - 17 - 22. Give -2*c(j) + 3*h(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -957*m**2 - 12. Let f(y) = -1912*y**2 - 20. Give -5*c(p) + 3*f(p).\nAnswer: -951*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -a + 1768?\nAnswer: 175c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -5 - -18 - 105\/8. What is the fourth biggest value in -4\/17, 4, 0, -2, n?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*a - 2*a - 3*a)*(-33 + 189 + 55)*(-2 + 2 + 2*a) to v*a + b*a**2 + k and give b.\nAnswer: -1266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -106*f + 325*f**4 - 125\/2*f**5 + 12 + 349*f**2 - 1035\/2*f**3 = 0.\nAnswer: 2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1151626567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.105 - 3.895. Which is the nearest to -1\/3?  (a) 1  (b) 5  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -3.781739 and -5534.655.\nAnswer: -5538.436739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 164*r - 165*r - 4*d - 5 = 0, 0 = -r + 3*d + 2. Does r = -3\/614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 123855910 divided by 5\nAnswer: 24771182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2640764.\nAnswer: 2, 7, 37, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**2\/5 + 8516*f\/5 + 356943.\nAnswer: (f + 215)*(f + 8301)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes before 11:49 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 128, 11, 2, 8, -2, 10 in ascending order.\nAnswer: -2, 2, 8, 10, 11, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 736\/138*(4\/6)\/(8*2\/(-16)).\nAnswer: -32\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**3 - 578*c**2 - 3432*c. Calculate x(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {e: 8, g: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1*(-7)\/(21\/(-27)). Solve -5*g - 4 + r = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -37*z + 7. Let h be c(3). What is h rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 462983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m*m**(-13\/4)\/m*m**(-17\/3) assuming m is positive.\nAnswer: m**(-107\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -878 + 502. Let n = -371 - h. Solve n*t - 4*d + 22 = 0, -4*t - 2 - 18 = -4*d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26520?\nAnswer: 2, 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 41\/3 - 881\/66. What is the common denominator of o and (-3)\/2*100\/(-44) - 1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4505600 - -1?\nAnswer: 4505601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y + 8 + 4 = -4*q, -3*q + 2*y = 12 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 169 - 101. Let z = q - 23. Let l = -41 + z. Solve 0 = -3*r - 5*a - 19, l*a + 0*a + 20 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 394, 303, 56, -425, -1218, -2401, -4052?\n\"Answer: -13*g**3 + 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the second derivative of 0*z**5 + 0*z**2 + 0 + z + 0*z**6 - 17\/6*z**3 - 1\/42*z**7 + 0*z**4. What is the second derivative of n(d) wrt d?\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 44 - 135 = 3*g, 2*w + 3*g - 23 = 0. What is the highest common divisor of w and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.08?  (a) -4  (b) -5  (c) -0.1  (d) 0.42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) -5  (c) 3  (d) -1  (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange i - 2*i - i + (9 + 10 - 14)*(4 - 3 + i + 2) to the form g*i + z and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = -3*d + 12, -3 = d - 4. Suppose -k*v = -4*c, -c - 5 = -3*v + v. Suppose 0 = -v*u - 3*m + 56, 0 = 3*m - 8*m. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from xfidfx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 p when two letters picked without replacement from msp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -2678418.286004 take away -0.1?\nAnswer: -2678418.186004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -83, -91, -99, -107, -115?\n\"Answer: -8*v - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 414*z = 284*z - 1040 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 74.6 + -75. What is the fourth smallest value in -1\/7, f, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tutvutuvuuuututvuvt. Give prob of picking 1 u and 1 t.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 100\/(-250) + (-767)\/(-5) + -1. Let r = f + -151. Let n(a) = -13*a**3 + 2*a**2 - a. Determine n(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 25 = -5*o, 0 = -w - w - 4*o + 10. Solve 16 = 3*j + 5*m, -4*m = w*j - 26 + 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 57 + -56.9999706. What is b rounded to six dps?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 301 + -83. List the prime factors of t.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7189187413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -35.879 * 5\nAnswer: -179.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 4*u - 4 + 4 + 3*u**2 + 5*u**2 + 2. Let n(w) = -w**2 - w - 1. Let v(k) = -j(k) - 4*n(k). Find the first derivative of v(z) wrt z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 5 + ((sqrt(672) - sqrt(42))\/sqrt(6))**2 + sqrt(847)*-2.\nAnswer: -22*sqrt(7) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1919583*w**2*x**2 + 2*w*x**2 - 15794*x**2 - x - 11 wrt w.\nAnswer: -3839166*w*x**2 + 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d + 2680 = -16*d + 2605 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - 1 - (-2 + -2 - -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (420\/(-210))\/((-45)\/(-5) - 46).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hee when three letters picked without replacement from hkhkhkehke.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 3 = -2. Let g be (0\/1)\/(3 + j). Suppose g = -2*q - p + 12, 16 = 4*q - 2*q + 2*p. Solve q*d = -4, -d + 3 = -2*t + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 69.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11509, -22531, -33551, -44569?\nAnswer: -55585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**(-5)*n)**(-1\/37))**(5\/7) assuming n is positive.\nAnswer: n**(15\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(-3)*1\/4. Let d be 315\/126 - 2\/(3 - -1). Put j, d, 3\/4 in descending order.\nAnswer: d, 3\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that 154*q**5\/3 - 204*q**4 - 478*q**3\/3 + 2144*q**2\/3 - 392*q - 32\/3 = 0.\nAnswer: -2, -2\/77, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 208 and 3392.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -4*a**2 + 4*a + 6. Let s(n) = 9*n**2 - 9*n - 12. Let j(i) = 7*f(i) + 3*s(i). Let o be j(3). Solve 4*z + o - 4 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 58, 564, 1944, 4636, 9078, 15708?\n\"Answer: 73*g**3 - g**2 - 2*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 39\/(-26)*-8*(-1)\/(-24)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -321 or -320?\nAnswer: -320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 2*q**2 - 10*q - 10. Let i be z(7). Solve 0 = 2*b - i + 20 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 129 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 91 divide 3549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 592257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15\/90*-3)\/(5\/2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 89 divide 436042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 5*r = -27942, -19*s + r = -14*s - 69924. List the prime factors of s.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x - 15. Let u(y) = -5. Let c(h) = 4*q(h) - 11*u(h). What is c(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -127\/390 and -119\/260?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5*((-308)\/(-112))\/(5\/(-6)) - 14.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 - 1.5. Let c = 201 - 194. What is the nearest to -3 in x, c, -2\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b and 2 y when four letters picked without replacement from {b: 5, j: 1, y: 3}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -3132*w**2 - 2. Let k be p(3). Let g be (-2)\/(-44)*816630\/k. Let x = g - 4\/2819. Calculate the common denominator of 77\/18 and x.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -18 + 18. Let u(q) = q**2 + 2. Let s be u(0). Suppose h = v + s*v - 15. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 5\/11, 224, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -2*x + 68, 12*p - 10*p = 4*x - 120. Solve -122*l = -129*l + x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18208663 to the power of 1\/3, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10, 111, 382, 907, 1770?\nAnswer: 3055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -951, -3776, -8485, -15078, -23555, -33916, -46161?\n\"Answer: -942*w**2 + w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -225061 divided by 217?\nAnswer: -225061\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -5, 0.1, 23.7, 2\/11, -103, -2?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 3 + 3)*(-3 + 2*a**3 + 3) + 26*a**3 + 5491*a**2 - 5491*a**2 - 3*a**3 + 3*a**3 + 2*a**3.\nAnswer: 22*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*y - 18*y = -2*k + 68845, -55088 = -4*y - 4*k. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -2*t + 2. Let s(p) = -7*p + 15. Let v(h) = -6*a(h) + 2*s(h). What is v(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 5858396, 5858401, 5858418, 5858453, 5858512, 5858601, 5858726, 5858893?\n\"Answer: s**3 - 2*s + 5858397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 139 - 139.168. Let u = b + 0.068. What is the nearest to -1\/21 in -1, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 4 = -4*w + h, -3*h + 4 = -w. Suppose d = 3*g + w - 138, 3*d + 222 = 5*g. Calculate the highest common factor of 378 and g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + z = 80. Let p(k) = 2*k**2 - 1618*k - 3243. Let i be p(-2). Calculate the highest common factor of z and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and 12.63?\nAnswer: -37.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yycuycylttyyucyutyu. What is prob of picking 3 u and 1 t?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 10 - 8 - 2 - 6*p. Let g(t) = -2*t**2. Calculate b(g(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 6 = 15. Suppose 10*v = 7*v + g. Solve -v*w - 16 = -3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1592928210 divided by 318585642?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 4*q = 3*q - 35, -3*q = -2*u + 14. Let j(g) = 8*g**2 - g - 7. Let y(i) = 7*i**2 - i - 6. Let k(c) = u*y(c) - 6*j(c). Factor k(a).\nAnswer: a*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3040010 and 12?\nAnswer: 18240060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 14601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6586*v**3*w + v**3 - 6*v**2 + v*w - 1349*w wrt v?\nAnswer: 39516*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 + 4. Suppose b + 5*p = 25, -4*b - 2*p - 3*p = -40. Put w, b, -1 in increasing order.\nAnswer: w, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.104 - -2.184. Let x = s + -2. Round x to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*o - 19*o + 98336. What is the thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.1 + 0. Let q = 0.06 + -0.06. Let v = 5 - q. Sort v, m, 0 in increasing order.\nAnswer: m, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -186, -1395, -4672, -11055, -21582, -37291, -59220, -88407?\n\"Answer: -173*b**3 + 4*b**2 - 10*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 10\/(-30)*(-1 - 197). Let x be 2\/(-10) + m\/300. Which is smaller: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6)\/sqrt(3) + -4 + sqrt(72))**2*1 - (3 + 1 + sqrt(72) + 1 + sqrt(72)).\nAnswer: -68*sqrt(2) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 738828?\nAnswer: 2, 3, 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-79)\/((-4740)\/(-1350)))\/(2*9\/(-36)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 1 - 4 + 4 + g. Let l be u(2). Solve l*f - f - 4 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4d8 (base 14) in base 15?\nAnswer: 44e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 52154358 <= 52154363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.4, -1, -132, -0.3, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*p = -2*p - g + 2, 2*p - 5*g = -10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12.688 millimeters to centimeters.\nAnswer: 1.2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (3 + -9 - (-5 + -1)) + 119 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -961*d**4\/11 + 537137*d**3\/11 + 572817*d**2\/11 + 35279*d\/11 + 560\/11 = 0. What is d?\nAnswer: -1, -1\/31, 560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 269645407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.007 from 31769305.\nAnswer: 31769304.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25175?\nAnswer: 5, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 5*x + 7 = 0, b + 4*x = 5*b - 68. Let y(c) = -c**2 + 13*c - 19. Calculate the remainder when y(7) is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 40302094 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 316 by -3.\nAnswer: -316\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**4 - m - 2. Let k(i) = 8*i**3 - 11*i**2 - 5*i - 4. Let c(x) = k(x) - 5*v(x). Find the third derivative of c(p) wrt p.\nAnswer: -120*p + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 9220, 36889, 83004, 147565, 230572, 332025, 451924?\n\"Answer: 9223*n**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from zsyfsaf.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8435.23cm to kilometers.\nAnswer: 0.0843523","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/(-3) + (-112)\/24. Let u(s) = s**3 + 6*s**2 + 8*s + 7. Let y be u(z). Let n be ((-68)\/y + -3)*2. Solve -2*m - 2 = 2*i, m + 0*m = -3*i - n for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 42 + 4*l - 12*l - 43. Calculate f(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -4  (b) 44  (c) -1\/171  (d) 0.3  (e) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 250738 or 249802?\nAnswer: 249802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -51 (base 12) to base 16.\nAnswer: -3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-3*(sqrt(700) + 1 + sqrt(700) - ((sqrt(98)\/sqrt(2))\/sqrt(7) - sqrt(7))))**2 + 2 + 1 + 4.\nAnswer: 360*sqrt(7) + 25220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i + 37. Let s be c(-15). Calculate the greatest common divisor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5452.4 - -1634.7. What is d rounded to the nearest ten?\nAnswer: -3820","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (36*r**4 - 2*r**2 - 18*r**4 - 21*r**4 + 3*r)*(3 - 4 - 1).\nAnswer: 6*r**4 + 4*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(833) + -2)**2 + -2 + 2 + 4 + sqrt(833) + (-1 + sqrt(833))**2 + 0.\nAnswer: -35*sqrt(17) + 1675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -32, -155, -370, -689, -1124?\n\"Answer: -2*f**3 - 34*f**2 - 7*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n = -5, -2*y + 5 = 24*n - 25*n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26670*l + 3151 = -26533*l for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 143762817?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -2*b**2 + 4*b - 2. Let i = -5 - -5. Suppose -4 = -3*d + 2. Let v(l) = -6 + 4 + i + 5*l - 3*l**d. What is 4*f(j) - 3*v(j)?\nAnswer: j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 70301370.\nAnswer: 2, 3, 5, 191, 12269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-34424)\/2271984)\/((-2)\/(-6)*(-2)\/(4\/(-3))).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:20 AM and 1:08 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, r: 2}. Give prob of picking 1 r and 1 y.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1211, -4863, -10951, -19475, -30435, -43831?\nAnswer: -59663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 0 + 18 + -52 + -18 + 43 + -36?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 193510?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81603607 is divided by 140.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 638 and 10641521?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 <= -85.0337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -441 - -442. What is the second smallest value in 2, 3, r, 0.44?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 9*m - 9. Suppose x = -2*a + 15, -2*a + 4*x - 15 = -a. Let w be 8 + -4 + 1*a. What is the remainder when o(w) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -10*x. Let z(b) = -40716*b + 3. Determine d(z(l)).\nAnswer: 407160*l - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 3)*(4*u**3 + u**5 - 4*u**3) + 2*u**5 - 2*u + 2*u.\nAnswer: 4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 o when two letters picked without replacement from {c: 1, n: 2, q: 1, d: 2, k: 1, o: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 68255117 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**3 + 204*v**2 + 3221*v + 7854.\nAnswer: (v + 3)*(v + 14)*(v + 187)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j + 6 + j - j + 6. Let r be c(13). Let v = 7 + r. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u**3 - 2*u**3 + 3*u**3)*(-2*u - 3*u + 3*u)*(8 + 1 + 0)*(4 - 1 - 1).\nAnswer: 36*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2 - (-33198432)\/15)\/(6\/(-600)). Let z = 11951092465\/54 + u. Let h = -18467\/3 - z. What is the common denominator of h and 71\/2?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and -40839418.\nAnswer: -122518254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-148)\/(-8) + (-1)\/(-2). Is 19 a factor of c*(128\/10 + (-17)\/(-85))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 981.1504cm to meters.\nAnswer: 9.811504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 1532977582.\nAnswer: 1532977583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2683 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2*(-3 + 4\/2). Suppose -5*m = -4*m - 4. Let k = m + -1. Which is smaller: k or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2065 divided by -5\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -0*r - 2*x - 4, r - 5 = -2*x. Suppose 0 = 4*m + 4, 5*m - 6*m = r*f - 395. Let t = -72 + f. Is 20 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2503, 1599, 93, -2015, -4725, -8037, -11951?\nAnswer: -16467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**2 + 5. Suppose -5*w = -w + 112. Let h be 104\/w + (-4)\/14. Let v(k) = k**2 + 4. Let f(r) = h*v(r) + 3*q(r). What is the derivative of f(u) wrt u?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 12*x**2 + 16. Let b(k) = -4*k**2 - 5. Let v(d) = -3*d**2 - d - 2. Let s be (-57)\/38 + 14\/4. Let g be v(s). Calculate g*b(h) - 5*m(h).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 13 = 11. Let q be -2 + (54\/(-12))\/(y\/12). Suppose 8*n - 7 = q. Let j(g) = g**2 - 4*g. What is j(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7295 - 7518 - 42*s + 14622 - 17*s in the form m*s + f and give m.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes after 6:00 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.06636 to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9204?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 922.4511l in millilitres?\nAnswer: 922451.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -61578808 + -4?\nAnswer: -61578813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*m - 0*m - 0*m. Suppose -5*i = -z - 7, 4 + 0 = -4*i + 4*z. Find the second derivative of -2*w**5 + w + m*w - i*w**5 wrt w.\nAnswer: -80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 790\/3 + -11147\/42. Let j = -1\/839 + -72979\/11746. What is the common denominator of m and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 18765167*b*c**2 - 5*b*c + c**2 - 57027*c - 62 with respect to b.\nAnswer: 18765167*c**2 - 5*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 53463 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p**2 + 1 - 1)*(0 + 0 + p) + 2 - 2 - p**3 - 4 - 25*p**2 + p**3 + 25*p**2.\nAnswer: -p**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -524001588 divided by 87333598\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:01 AM and 10:59 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:15 PM and 4:54 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4*(1 - (-9)\/(-12)). Let y = f - -2. Suppose -b - 28 = -4*m + 3*b, b = y*m - 29. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -7 - 4 + 120*i - 237*i + 114*i. Suppose 3 = -3*j - 12. Calculate k(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3)\/((-23)\/4 + 5). Let h = -1 - -1. Find p, given that 0*p**c + 0*p**2 + h + 2\/7*p + 2\/7*p**5 - 4\/7*p**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1764988483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve p = -2*q - 0*p + 57 - 48, 0 = -q + p for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*t**2 - 8212*t + 65952 = 0. Calculate t.\nAnswer: -2061, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**3 + 7*y**2 - 12*y + 4. Let j be r(4). Suppose -j + 9 = z. Solve -q = z*k - 5, -q + 4 = 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (6\/(672\/(-595)))\/((-2)\/8) and -31\/66?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 280*d + 24 = 286*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4348 + 6142 = 10*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fntcfftjnf. Give prob of sequence jc.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -138*v + 144*v + 792. Let a = -130 - v. Is a less than or equal to 0.32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50620354 is divided by 178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 4771*t**3 - 11*t + 354. Let q(d) = -2385*d**3 + 5*d - 178. Let m(n) = 4*b(n) + 9*q(n). Find the second derivative of m(z) wrt z.\nAnswer: -14286*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*h**5\/3 + 254*h**4\/3 + 3968*h**3\/3 - 2048*h**2\/3.\nAnswer: 2*h**2*(h + 32)**2*(2*h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 19*s**2 + 13. Let t be u(-4). Suppose -5*d + f + f = -t, 3*d + f - 199 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 - -2. Let m be 2 + -1*y - -4. Find the second derivative of -m*k**2 + 4*k - k - 2*k wrt k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -28486 - -28491. Solve u*w - 26 = -m, 184*w + 25 = 189*w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:44 AM and 4:38 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (53*s - 98*s + 64*s)*(-s**4 - s**4 + 4*s**4).\nAnswer: 38*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17.3188784 - 75553.6.\nAnswer: -75570.9188784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -18 - (59 + -27 + 21)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 2 = -s, -s - 5*f = -2*f - 22. What is the least common multiple of 10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2357.6035 to the nearest integer.\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 36001.7t in milligrams?\nAnswer: 36001700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -58 - -62. Which is the second smallest value?  (a) -2\/9  (b) 1  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1919884.4838 to the nearest ten thousand.\nAnswer: 1920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1049, -1051, -1053, -1055?\n\"Answer: -2*i - 1047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 540, 2209, 4990, 8883, 13888, 20005?\n\"Answer: 556*j**2 + j - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/18 + (-10)\/(-36)*31622\/815?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3519992 + 5945510. Let u = 4545518 - s. What is u rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 147 and 2?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 529 + 14981007.\nAnswer: 14981536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of -6 and -515991.\nAnswer: 3095946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -270*j + 85 = -253*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*c = 39521 + 115648. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that 2*b**4\/9 + 232*b**3\/9 + 6248*b**2\/9 - 9280*b\/3 + 3200 = 0.\nAnswer: -60, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 147, 291, 433, 573, 711?\n\"Answer: -u**2 + 147*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 903533685?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:38 AM and 8:32 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1730742 to the power of 1\/2, to the nearest integer?\nAnswer: 1316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 29425 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 2  (b) 3\/5  (c) -0.38  (d) -0.2  (e) -25  (f) 23\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -132 = -3*v + v - 5*b, 2 = b. Let g = 108 - v. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -158519*((-64)\/(-144) - 91\/63) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b + b = 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from {p: 2, y: 1, q: 1, e: 1, j: 1, s: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-80)\/(-20)*((-3)\/6 - 1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2.9 - 2.9000017. Round g to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -5886*y**2 + 4003*y**2 + 30 - 30 + 2967*y**2. Let v(m) = 10*m. Calculate l(v(o)).\nAnswer: 108400*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 12 = 8*u. Suppose -f = -u*x + f, -3*f = 5*x - 11. Solve -l = -x - 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5 and 5\/15*(17 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*l**4\/4 + 69*l**3 - 6291*l**2\/4 - 4115*l - 2475 = 0. What is l?\nAnswer: -55, -10\/7, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 36*d - 64 - 44 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**1*z)**(-9\/4))**(-6\/25)\/(z*z*(z**(-1\/2)*z)\/z*z\/(z**(-5)\/z)*(z*z**(3\/2)*z)\/(z**(-2\/19)\/z)) assuming z is positive.\nAnswer: z**(-11937\/950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 13) to base 5.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the third derivative of -f**6\/720 + f**5\/15 - 23*f**4\/4 - 113*f**2. Let k(h) be the second derivative of b(h). Determine k(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 67223 + 345126. Let t(d) = 65336*d**2 + 3*d - 1. Let b be t(2). Let l = q - b. Round l to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -147, -71, 51, 219, 433, 693?\n\"Answer: 23*x**2 + 7*x - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 55  (b) -22  (c) -1\/5  (d) 3\/5  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes before 5:22 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1110120222121 + -12?\nAnswer: -1110120222210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 5*f + 3 + 36*f**3.\nAnswer: 36*f**3 + 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -136 - 80 = -27*b. Let x(g) be the first derivative of 0*g - 5\/2*g**2 + b. Let f(l) = -l. Calculate f(x(k)).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 3*v + 7. Suppose -6*l = -v*l - 4466. Suppose -5*d - 5*h = -2245, 2*h + l = 5*d + 4*h. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 108817951*c**5 - c**2 - 180*c + 102 wrt c?\nAnswer: 6529077060*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 405\/7 or -20888\/5?\nAnswer: -20888\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 57, 64, 71, 78, 85?\n\"Answer: 7*z + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13 + 13. Let n = 108 + -103. Which is the nearest to s?  (a) n  (b) -0.4  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1 + 0 + 1 + -2. Let m(u) = -4*u + 7. Let a(l) = -l + 2. Let v(i) = s*m(i) + 7*a(i). Let z(o) = 14*o - 10*o - 10*o. What is z(v(c))?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.021 + 1.979. What is the nearest to n in 4, 5, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = 5*q - 89, 15 + 65 = 5*q + 5*g. Suppose -5*o = -2*m - 14, m - q = -4*m - o. Suppose -95 = -m*k - r, -2*r - 20 = 2*k - 90. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes before 1:13 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -12*f**2 + 27*f**2 + 9*f**3 - 4 - 12*f**2 - 12*f wrt f?\nAnswer: 54*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -33 + 37. Let o be k\/(-38) + 119\/(-133). Is 7434\/56 - o\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (12\/15)\/((-2)\/(-10)). Let z(f) = f**3 - 3*f**2 + 4*f + 8. Let c be z(0). Calculate the greatest common factor of c and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3952.7618 - 3\nAnswer: 3949.7618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-5 + 2*sqrt(3267) - sqrt(270)\/(1*sqrt(40)))*6.\nAnswer: -30 + 387*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 336901759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7825491047?\nAnswer: 11, 8867, 80231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ftsssssffjjxi. Give prob of picking 1 s and 1 j.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 2*a - 1500 = 0, 2*a - 1500 = -3*f + 6*a. Let k = f - 1001\/2. What is the second smallest value in -4\/3, 62, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = 2*d + 4*p - 28, -4*p - 56 = -5*d. Suppose -r + d = r. Let y be (r\/9)\/((-7)\/(-63)). Solve 4*w = y*o - 2*o - 12, -3 = w for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3 - (-266)\/(-110)) + (-2)\/5. Let d = -5 - 0. What is the closest to -1 in n, d, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes before 4:12 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 50279233?\nAnswer: 691, 72763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -37 - -52. Solve p + 4*p = -h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 374267, 748536, 1122805, 1497074?\nAnswer: 1871343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*h**2*o + 3*h**2 + 2758*h*o - 2*h - 353883*o wrt h.\nAnswer: 8*h*o + 6*h + 2758*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:24 AM and 6:24 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1109, -2203, -3297, -4391, -5485, -6579?\n\"Answer: -1094*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -3*v - 47. What is w(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 126*p**4 - p - 44 wrt p?\nAnswer: 1512*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1933039 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 34 + -34. Suppose f = 14*d - 12*d - 6. Calculate the lowest common multiple of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 772478347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 849, 693, 561, 459, 393, 369, 393?\n\"Answer: c**3 + 6*c**2 - 181*c + 1023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 117 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - (49\/7)\/(6 + -5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12005 (base 6) in base 4?\nAnswer: -123011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 68 - 60. Let q = -4 + v. Which is the closest to 1?  (a) -2\/7  (b) q  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (-1 - (-3 + 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 443*v**3 + 5*v**2 - 64*v + 59. Calculate the remainder when 921 is divided by y(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**2\/6 + 2*k\/3 - 2\/3.\nAnswer: -(k - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 5*k**2 + 3*k - 13*k**2 + 4*k**2 - 10 + 3*k**3 - 2*k**3. Let t be f(4). Suppose t*r - 17 = 43. Calculate the greatest common divisor of r and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1399247, 2798508, 4197771, 5597036, 6996303?\n\"Answer: w**2 + 1399258*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 58023 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3332311 (base 5) in base 3?\nAnswer: 2222012001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6 + 0 - (-3 - -4). Suppose -3*u + 24 = -a*n, -13*n = -3*u - 10*n + 18. Let r(i) = -2*i**3 + 3*i**2 + 4*i - 3. Calculate r(u).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 5*v - 3 + 6*v + 6 - 16*v - 11*v.\nAnswer: -16*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**2 - 17*h - 40. What is the least common multiple of 42 and a(-10)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 112 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 154*c + 2939. What are the prime factors of n(-4)?\nAnswer: 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u = 13*u - 441. Calculate the highest common factor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70*q + 134*q = -155*q - 19261 + 865 for q.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*s - 26 = 18. Suppose 0*n**3 - 1\/4 + 0*n - 1\/4*n**s + 1\/2*n**2 = 0. What is n?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 6 - (-38)\/(-18).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -5 and 378648002950.\nAnswer: 378648002945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 3*r + 4 = -48, -p = 5*r. Let v = -9 - -32. Let x = p + v. Calculate the remainder when x is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 10741002?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 553*q + 372*q - 25*q.\nAnswer: 900*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 42, 21, -34, -141, -318, -583, -954, -1449?\n\"Answer: -3*i**3 + i**2 - 3*i + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes after 4:47 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 4, b: 14}. Give prob of sequence dd.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes after 5:46 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 477 is divided by 50.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 17529*g**3 - 184*g**2 - 29476655*g?\nAnswer: 105174*g - 368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: a (base 12) to base 13\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -37 + 151. What is the remainder when c is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -26 - -26.4. Which is the closest to 26?  (a) -1\/7  (b) 2  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -162, -163, -164, -165, -166?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1100 + 1101111101110000?\nAnswer: 1101111101100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -50.7348 + -2.8932. Let u = -53.6 - z. Which is the nearest to -0.2?  (a) -5  (b) 0.4  (c) 5\/3  (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -48790443 divided by 3\nAnswer: -16263481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*l + 4*l + 33. Suppose -l - 24 = -7*f. Suppose -2*u = 3*x - 114, 3*x - f*u - 41 - 73 = 0. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (39 - 75 + 4*i + 40 - i**2)*(4 - 4 - 1) as c + m*i**2 + l*i and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2, -0.4, 31, 1\/3?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(880)*3)\/(6*sqrt(5)*-1)*-2.\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**3 - 5*h**2 + 6*h - 10. Let t be k(4). Let m be t*2 + (10 - 2). Let s be (-16)\/(-12)*(1 + 2). Calculate the highest common factor of s and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6\/4*(-4)\/(-6). Let b(k) = 6*k**2. Let p be b(y). Let w(c) = c**2 - 3*c - 2. Does 6 divide w(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c**2 + 13*c + 4. Let q(g) = 4*g + 1. Suppose a = 4*v - 0*v + 33, 0 = 3*v + 2*a + 11. Let i = 32 - 30. Calculate i*d(o) + v*q(o).\nAnswer: -2*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the first derivative of 7*w**3\/18 - 5*w**2\/12 - w\/3 + 3. Factor i(p).\nAnswer: (p - 1)*(7*p + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 144\/56 + (-9)\/3.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*r - 458 = -488 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**3 + g**2 + 152. Let a be f(0). Let s be 28\/98 + a\/7. Suppose -1 = u + 3*t - 3, 0 = 4*u - 2*t - s. Does 2 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37162 = -23*f - 24639. Let v = -2683 - f. What is j in -12\/5*j**v + 0 + 9\/5*j**3 + 12\/5*j**2 - 12\/5*j + 3\/5*j**5 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*l = -23*l. Solve -24 = -5*d - 9, -4*h + 4*d - 24 = l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0, 5, 4\/5, -2\/11?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2112 and 11?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**3 + 7*c**2 - c - 8. Let z be p(-7). Let v(m) = -3*m**3 + m**2. Let s be v(z). Suppose 2*g + 4*k = k, s*g + 2*k = 8. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(22)\/sqrt(2))**2 - (sqrt(44)\/sqrt(4) + -4).\nAnswer: -sqrt(11) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3302 (base 5) in base 12?\nAnswer: -318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -58, 11, -90 in increasing order.\nAnswer: -90, -58, -5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, w: 4, q: 2}. Give prob of sequence qq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + 2. Let y = -12.6 - -6.7. Let r = y + 4.9. Sort r, j, -5, 13 in ascending order.\nAnswer: -5, r, j, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 8*l**2 - 203*l + 265. Let s be g(24). Which is the closest to -2\/5?  (a) 40  (b) s  (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 162 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 1 = 0, 2*w + w = -5*a + 26. Suppose -25 = 5*q + 586*d - 589*d, 0 = -2*d + 10. Sort 1, q, w, 4.\nAnswer: q, 1, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(55)*2 - sqrt(55))*-4)\/sqrt(5) + 2*sqrt(44) + 4 + -4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-15)\/(-50))\/(72\/(-120))*18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 + -1. Let q(o) be the second derivative of 7*o**4\/12 + o**3\/6 - o**2\/2 + 10*o. Determine q(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (232\/348)\/((640\/36)\/(-5)*-6).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -15 + 10. Let n = -4 - a. Solve 0 = v - n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10 + -10. Suppose f = s + 3*u - 19, 3*s = 4*u - 0 + 5. Suppose -4*z + 696 = 4*o, 672 = -s*o + 11*o - 2*z. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 10) + (-106 - -117)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*s + 8, 41*s - 42*s - 10 = -2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -31785065, -31785064, -31785063?\nAnswer: -31785062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -3 times -0.022\nAnswer: 0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -589356 divided by 27?\nAnswer: -21828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/15)\/(2 + 32\/(-20)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4345623 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 10*c + 3 - 12*c + 2*c**4 + 4 + (c**2 - 1 + 1)*(0*c**2 + 3*c**2 + c**2).\nAnswer: 6*c**4 - 2*c + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 7\/8, 3, -22, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {l: 4, k: 8, o: 8}?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 129, 265, 385, 483, 553, 589, 585, 535?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16038, 31437, 46196, 60315, 73794, 86633?\nAnswer: 98832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s + 2*s + 6. Suppose -s*h = 2*k - 2, 4*k - 5*h = 4 - 0. Let l = 409 - 3679\/9. Which is bigger: k or l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -296337, -592660, -888969, -1185264?\nAnswer: -1481545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 16*q - 1 - 104*q + 5.\nAnswer: -88*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -3*u + 36. Let b be g(12). Solve -2*x = -5*k + 19, -17 = -5*k - b*k + x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.857 + -3.\nAnswer: -5.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/827 smaller than 0.2262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 0, 2, 4, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 149*c - 11970 = 128*c. Is c a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-3965)\/2418 + ((-29)\/116)\/(1\/(-8)) and -83\/18.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 830327?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 902820615 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5.43716562 + -3.4371658. Let z = -1.779 - 0.221. Let o = z + s. Round o to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z + 7. Let b(j) = -j + 8. Let g(p) = -6*a(p) + 5*b(p). Determine g(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*q*q**3*q*q*q)\/q)\/q)**(-14)*(q\/((q**2\/q)\/q))**(-20) assuming q is positive.\nAnswer: q**(-104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 6*f - f. Suppose f*n = -n. Let a = 9 + -14. Sort n, a, 1.\nAnswer: a, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7.8?  (a) 0  (b) 1\/3  (c) -0.3  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.04  (b) -0.2  (c) -3.1  (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.017, 3\/7, -4 in decreasing order.\nAnswer: 3\/7, 0.017, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -113255765100 to the nearest 1000000.\nAnswer: -113256000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -12 + 5 + -1 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*m = 25*m - 5*t - 65, m = 2*t + 12. Solve q + 26 = -5*p, m = -2*p - q + 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the first derivative of -j**4\/6 - 50*j**3\/9 - 44*j**2 - 72*j + 4097. Factor d(x).\nAnswer: -2*(x + 1)*(x + 6)*(x + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*z + 541 = -1263. Suppose -3*p - 3*u + 288 = 0, -5*u = p - 6*p + 450. Suppose -5*a = -p - 117. What is the remainder when z is divided by a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.7 in 64, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 199328 divided by 4\nAnswer: 49832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-68)\/(-17) - (51\/7 + 14\/(-49)). Which is the smallest value?  (a) -2\/7  (b) -7  (c) i  (d) -4  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 43, 74, 127, 202, 299, 418, 559?\n\"Answer: 11*f**2 - 2*f + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 plus 0.065?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 79, 11, 3\/4, -3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*o**3 + 228*o**2 + 224*o.\nAnswer: 4*o*(o + 1)*(o + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-8 + 5\/70*115)\/((-6)\/(-8)). What is the closest to d in -2, -0.031, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 10, z: 6}. Give prob of sequence zwzz.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 2*n + 4. Suppose 3*z - 6 = -18. Let k(r) be the second derivative of r**2\/2 - 2*r. Calculate z*k(p) + l(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/334980 and -87\/3400.\nAnswer: 56946600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.004 - -0.096. What is the third biggest value in 0.4, z, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s - 20 = -3*p, 3*p + p - s - 21 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/33740 and -23\/30366.\nAnswer: 303660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-18)*(-12)\/(-8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.149 + 1.049. What is the closest to g in 0.02, -6, 4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 337 = 15*w - 338. Let h = 38 - 22. Calculate the remainder when w is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) + sqrt(27)\/sqrt(9) + -4)*-4 + 0.\nAnswer: -8*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3*(-4)\/6 - 1. Is f smaller than -14\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**3 + v**2 - 1. What is f(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Multiply -0.464954 and 0.3.\nAnswer: -0.1394862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((-2*sqrt(80))\/sqrt(4) - (sqrt(20) - (-2*sqrt(20) - sqrt(20))*2))\/(sqrt(490) + (sqrt(490) - -3*sqrt(490)*-3)).\nAnswer: 9*sqrt(2)\/49 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y**(1\/7)\/y)\/y)\/y*y*y*(y\/(y*y**1\/y))\/y)\/(y**(2\/5)*y)**(-2\/139) assuming y is positive.\nAnswer: y**(-8937\/4865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 3*m - 10. Let q be p(10). Let t be 15\/(-25) - (-72)\/q. Suppose 0 = t*x - z - 164 + 13, -4*x + 183 = -5*z. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggwmwwwpwggwgggmwwwg. Give prob of sequence mgp.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/33 - 56\/308 - (-2)\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**3 + 9*r**2 + 13*r - 7. Is g(9) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the second derivative of -25937*z**5\/20 - 3*z**3\/2 + 2*z**2 + 89*z. Let s be f(4). What is s rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 277, 3, -3 in ascending order.\nAnswer: -3, 3, 277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the second derivative of -g**7\/2 + 6*g**6\/5 - 9*g**5\/20 - g**4\/2 + g - 31. Factor j(l).\nAnswer: -3*l**2*(l - 1)**2*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 3*r**3 - 40*r**2 - 43*r + 77. Let m(b) = -4*b**3 + 59*b**2 + 65*b - 116. Let d(i) = -7*g(i) - 5*m(i). What is d(-13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 190 + 9. Let f = z + -194. What is the biggest value in -5, 7, f, 3\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 159363?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 16 + -28. Let u(y) = y**2 + 10*y + 6. What are the prime factors of u(t)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2160*p**3 + 1085*p**3 + 1078*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 13*y + 471. Let c be f(-36). Suppose 5*o - 4*b + 16 = 0, b + 8 = -2*o - 1. Sort o, 5, c.\nAnswer: o, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {v: 3, g: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 11*u + 13 = -13*u, -3*u + 6 = -4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:57 AM and 10:44 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6781*t - 797*t - 1501*t + 201081 = -207474 for t.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 4465, 8926, 13385, 17842, 22297, 26750?\n\"Answer: -g**2 + 4464*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the first derivative of a**6\/120 - 2*a**3 - 2. Let m(i) be the third derivative of f(i). Let y(n) = -3*n. What is y(m(s))?\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 19913809 to the power of 1\/3, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is y in -2*y**2\/5 - 6*y\/5 + 16 = 0?\nAnswer: -8, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:46 AM and 1:41 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -0.2, 22, -794 in increasing order.\nAnswer: -794, -4, -0.2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 4*g + 3. What is the tens digit of -1 + 2 + (-99)\/g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-20)\/8 - (3\/(-6) - 1). Let y = 1 + -1. Suppose 5*u = -o - 19, y = 6*o - o + 3*u + 7. Which is smaller: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide ((-49560)\/(-118))\/((-3)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 44 and 122976106?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 1 k when three letters picked without replacement from oarrka.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -476.8 - -477. Sort c, 3\/2, 2\/7, 4.1 in decreasing order.\nAnswer: 4.1, 3\/2, 2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 8, u: 10, n: 1}. Give prob of sequence hhn.\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(315)\/(sqrt(36) + sqrt(9)) + (sqrt(210)\/sqrt(6) + sqrt(35))*-5)\/(sqrt(40)\/sqrt(8)*4 - 2*sqrt(605)).\nAnswer: 29*sqrt(7)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 71 divide 74008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/5?  (a) 13  (b) 3\/7  (c) 11\/21  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 - -9. Let a be (39\/(-2))\/((-3)\/b). Calculate the greatest common factor of 13 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the first derivative of l**8\/840 + 2*l**7\/525 + l**6\/300 + 4*l**2 + 2. Let z(h) be the second derivative of k(h). Factor z(u).\nAnswer: 2*u**3*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1078070088 plus 0.19649?\nAnswer: 1078070088.19649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 0*g = 160. What is g rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -438*k + 10653. Calculate z(24).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 14683 and 526884772?\nAnswer: 526884772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.86 in -0.3, 0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 4  (b) 3\/223  (c) -4  (d) -0.27  (e) -3  (f) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 7*o + 13. Let j be 3\/5*(-30)\/(-6). Calculate the remainder when m(j) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3 - -8)*(1 - 0). Suppose -2*y + 6 = -3*b, b + j*y - y = 12. Let r(o) = -o + o + o + o + b. Let w(s) = -4*s**2. What is w(r(u))?\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - 27 - -6) + 14 - (2 - -6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 21*u**2 + 16*u - 16. Let m be ((5 + -4)*-1)\/(12\/(-16)). Let l(i) be the first derivative of -3*i + 3\/2*i**2 + m*i**3 + 5. What is 11*l(x) - 2*z(x)?\nAnswer: 2*x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6.85 and -1?\nAnswer: -6.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2890965 + 2890965 - 8122*g)*(2 - 1 + 1) in the form j + u*g and give u.\nAnswer: -16244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 2753*y + 35806. Calculate g(-13).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + 9 - (-4 + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 411022 (base 5) to base 7.\nAnswer: 53444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -3*10212\/(-9) + 1*-2. Suppose 16*p + 5*p - x = 0. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 32\/5 of a day?\nAnswer: 9216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 3 = -5. Factor 2\/3*z**b + 4\/3 - 2*z.\nAnswer: 2*(z - 2)*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 - -10. Let y = 326 - 324. Let z(n) = 3 - 7122*n + 1 - n**3 + y*n**3 - 5*n**2 + 7126*n. Determine z(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1155998?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -3499, 0, 1047, -6 in decreasing order.\nAnswer: 1047, 0, -6, -3499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that 2*t**3\/5 + 1676*t**2\/5 - 13536*t\/5 = 0.\nAnswer: -846, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**2 - 23*g + 93. Let m be n(5). What is the third derivative of -110*q**2 + 1206*q - 7*q**m - 1206*q wrt q?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0037182 to five dps.\nAnswer: 0.00372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 72 = 4*y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(14)\/sqrt(2) + -1 + 3 + -5)**2 + -2 + (sqrt(63) + (sqrt(693)*1)\/sqrt(11))\/sqrt(9)).\nAnswer: -16*sqrt(7) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 188 by -4.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r + 2*z - 661, -8*z + 7*z + 3 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 11*h**3 + 6*h**2 - h. Let s be i(-3). Let p = s - -255. Solve -4*w + p = -w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k**3 + 8*k**2 - 34*k + 14. Let s be x(-11). Suppose -4*z - 4*g = -32, -3*z - 21 + s = -g. What is the nearest to 2 in 0.2, 2\/11, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6218, -11520, -16822, -22124, -27426, -32728?\nAnswer: -38030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = 5*g - d, 8*g = 9*g + 4*d - 15 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 4*h = -0*h + 1636, 3*h + 1671 = 3*p. Let q = p - 538. Let g = -4 + 9. Solve r = g*b - 2*r - 11, 2*r - q = -2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*j + 6*f = -63, -8*j + 13*j + 4*f + 0*f + 41 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 = -n - 4*x, -3*n - 52 = -n + 4*x. Let u = n + 39. Suppose 6*i - 3*i = 3*l - u, 0 = l - 5*i + 1. Solve 4*t + 41 - l = 4*s, 3*s - t - 18 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**6*o)\/o*o*o**(-2\/7))\/(o**(-8)*o\/(o*o*o**(-2\/3))) assuming o is positive.\nAnswer: o**(316\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the third derivative of -k**5\/60 + k**4\/12 + k**3 - 2*k**2. Let z(v) be the first derivative of u(v). Let o(a) = -5*a + 6. Give 3*o(c) - 8*z(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.13, 2, 33, -2\/3, 1, 0.6, 0.1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -30.2 - -12. Let o = 15.2 + n. Which is the biggest value?  (a) 2\/9  (b) o  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 53 (base 10) to base 13\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 275489.\nAnswer: 275489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - 11 - 16 - -46.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -5821911*m**2 + 62*m + 13. Let x be v(3). Round x to the nearest one million.\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -12, -10, -8, -6, -4, -2?\n\"Answer: 2*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.023 + -0.023. What is the fourth biggest value in 2\/5, 5, y, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -50 - -86. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*y - 28 = -2*b + 6*y, -28*b + 36*b - 22 = -3*y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**3 + 170*z**2 + 17*z + 34180. What is g(-171)?\nAnswer: 2032","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/163  (b) 0.2  (c) -1\/4  (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5 - 1 - 5 - 7*d**4 wrt d.\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + (-7 - (-9 + 7) - 7).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/5 or 2\/653?\nAnswer: 2\/653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f + 7 - 16. Find the second derivative of 8*s - f*s**3 + 3*s + 7*s - s wrt s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17*v - 5*v - v)*((1 + 2 - 1)*(0 - 3 + 2) + 2 + 0 - 1).\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 28495*p - 28401*p + 3008 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 40 and 890.\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 208871 is divided by 12285?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8*a**2 + 68*a**2 - 3*a**2)*(137*a + 70*a - 71*a) as t + n*a**3 + g*a**2 + m*a and give n.\nAnswer: 7752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 405444224 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -19*x**3 + 2*x**2 - x - 2. Let h be j(-1). Solve 4*m - 3*f - 15 = 0, -2*m - 6*f = -2*f + h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10450354*s**3 + 4*s**2 - 4997*s + 2?\nAnswer: -62702124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -2*b**2 + 33*b - 132. What is x(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 485548 or 485549?\nAnswer: 485549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -116924, 6, 7 in increasing order.\nAnswer: -116924, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2914 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:53 AM and 5:36 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 8*c + 99. Let b be x(-12). Let o be 4*b*(-4)\/24. Suppose -4*m + 5 = -5*m. Put o, -27, m in descending order.\nAnswer: o, m, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 2 = 4*q - 2*c, 3*q = 4*c + 14. What is the units digit of 100\/8 - q\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (4 + 10) - (3 + (3 - 0))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 153 and 7030971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -142*g**2*n*y**2 + 21*g*n*y**3 + 104*n*y**2 - 2*n*y + 6*y**3 with respect to g.\nAnswer: -284*g*n*y**2 + 21*n*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 9 = -5*q. Solve 4 + 16 = -q*m + 2*l, 3*l = 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 49\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1814 - f - 908 - 906.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1134571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3007 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 15*y**2 + 5561*y - 94438. Calculate q(-387).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -95997107\/1444 - -66480. Find the common denominator of q and 75\/4.\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 173 divide 66951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*p**4\/4 - 3989*p**3 - 2229951*p**2\/4 - 49356835*p\/2 + 2827678 = 0. What is p?\nAnswer: -238, -109, 4\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = 4*t - 18. Solve 0 = -t*x - 11 - 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.8 - -0.61. Let k = -5.19 - p. Let s = -0.1 - -0.1. What is the smallest value in s, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 94 - 91. Suppose 3*k + 3*s - 43 = 50, -3*s + 159 = 5*k. Calculate the greatest common factor of n and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 25518 and 0.21078.\nAnswer: 25518.21078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 686 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(85)\/sqrt(5) + -2)*-2 + sqrt(51)\/(sqrt(24)\/(sqrt(40)\/sqrt(5))).\nAnswer: -sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 66.89624l?\nAnswer: 66896.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the second derivative of y**5\/20 - 2*y**4\/3 + 3*y**3\/2 - y**2\/2 + 2*y. Is r(7) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (62 - 23) + -49 - (3 + -1 - -3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 108.6  (b) 2  (c) 0  (d) 0.1  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 + 11. Let n(p) = p**2 + p - 22. Let z be n(-10). Suppose l*x = x + z. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/32876134 and 71\/1351074.\nAnswer: 98628402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - -9 - -1) + 91 + -95.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 206469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0 and 1.293.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q - 6*g + 7*g - 26 = 0, 0 = 5*q - 3*g + 28 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -91 + 91. What is n in -2*n + 2\/3*n**3 + o + 4\/3*n**2 = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -226 + 221. What is the biggest value in f, -0.2, -3\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0\/2)\/(-3)*-1. Suppose 2*n - 5*n - z = -26, o = n - 2*z + 3. Suppose 2*a - u - n = a, -u + 28 = 4*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {e: 1, a: 4, f: 2, u: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 536\/9 - 60. Let h be ((-3)\/18)\/((-10)\/(-40)). Which is the closest to 1?  (a) q  (b) -3\/7  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 237.7 - 238.1. Let g be 2\/(-22)*2 - 0. What is the third smallest value in g, y, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 4*m**3 + 10*m**2 + 23*m - 19. Calculate i(-6).\nAnswer: -661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 8*q**2. Let k be y(-5). What is k rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 88044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**2)\/x)\/(x*x**3) assuming x is positive.\nAnswer: x**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31209 is divided by 102.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is (-15 + 10)\/((-3)\/483) a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 95028802 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + 4*l = -140. Let d = -21 - l. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*n - 2*n + n)*(48 - 48 - 34*n).\nAnswer: -170*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*b = 12*b - 57. Let s = 105 - b. List the prime factors of s.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -126 = -r + 11. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 11*s - 9*s. Let f = s - -14. Let k be (-2)\/f + 5\/6. Which is the nearest to 2?  (a) -5  (b) 2  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that 2*w**3\/3 + 460*w**2\/3 + 1326*w = 0.\nAnswer: -221, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3575 = -57*l - 73*l - 13*l. Solve 41 = -l*r - 34 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1044 and 1041 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 2*u = -1, 2*o - 11 = -4*u + 3*u. Sort 14, -4, o, 1 in ascending order.\nAnswer: -4, 1, o, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-2)\/(-3))\/((-5030)\/(-1005) - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 + 2. Suppose m = 6*q - 3*q - 12. Suppose 5*p = k + 2*k - 10, -8 = 2*k + 4*p. Solve 11 = -q*b + y - k*y, 3*b - 5*y + 21 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 3, y: 11, r: 5, b: 1}. What is prob of sequence yby?\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**3 + 5*k**2 - 8*k - 6. Let o be r(-6). Solve -4*q - 19 = -q - 5*l, -3*l = 4*q + o for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = 4*t - 2, 13*b - 10*b - 3 = 3*t. Solve -g - 12 = -4*g + b*m, 0 = 2*g + 5*m - 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 4*w**2\/5 - 13848872*w\/5 + 11986953479524\/5 = 0.\nAnswer: 1731109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 79, 97, 87, 37, -65, -231?\n\"Answer: -2*i**3 - 2*i**2 + 38*i + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 5 + 4)*(-53*f - 293*f - 189*f)*(-3*f**4 + f**4 + 6*f**4).\nAnswer: -2140*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qyprpryryrryrprpyy. Give prob of sequence ppq.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/674, 2, -0.33, -3 in descending order.\nAnswer: 2, -3\/674, -0.33, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are -235449 and -1883601\/8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2 + -7)*(10\/(-3))\/5. Solve 0 = -5*r + u*r - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 90061533 * -3\nAnswer: -270184599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2862, 2409, 1960, 1515?\nAnswer: 1074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: -46663844289 - -2\nAnswer: -46663844287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**2 + 4*o. Let l be k(3). Suppose 5*t + 2 = l*r, -4*t + r - 3 = -0*t. Let z be 6*(6\/4 + t). Solve -5*a = -z - 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*p - 5*p + 3*p)*(2*p**3 - 3*p**3 - p**3 + (2*p**3 - 4*p**3 + 0*p**3)*(4 - 6 + 3)) as o*p + t + s*p**4 + u*p**2 + m*p**3 and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -114 = 2*j - 104 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/33)\/(32\/(-144)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11647811 (base 9) to base 14.\nAnswer: -a85737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 636269 is divided by 99?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-9 - -9)*(-1)\/2. Solve 3*w - 3*n - 3 = k, -3*n + 6*n = -3*w + 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 41385, 82384, 123387, 164394, 205405?\nAnswer: 246420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 11*k**2 + 3*k + 3. Let s be w(-1). Let o be 548\/s + (-15)\/((-825)\/10). Let l = o - 35. What is the smallest common multiple of l and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 174681333 a multiple of 1033?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 431324807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000056 rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (30\/600)\/((-4)\/270). Is -2 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -2*i - 5. Let u be o(-7). Let x = u - 6. Suppose -x*m = 5*v + 2*m - 37995, v - m = 7601. What is v rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is z in -3*z**3\/8 + 7827*z**2\/8 - 40707*z\/2 - 69876 = 0?\nAnswer: -3, 24, 2588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*r - r - 12045 = 0. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*s - 2*s + s)*(6*s**2 - 4*s**2 + 4*s**2) + s**3 + 0*s**3 - 3*s**3 + (2 - 2 + 2*s**2)*(-3 + 3 + s) + 2*s**3 + 2*s - 2*s.\nAnswer: 44*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13\/24 - 1\/8. Let l be (32\/(-120)*3)\/(1\/10). Let h be (-28)\/(-336) + -1*2\/l. Which is the second smallest value?  (a) h  (b) -3  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 4506, 4517, 4528?\n\"Answer: 11*k + 4495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24442 is divided by 495.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000875391179 to 5 decimal places.\nAnswer: -0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 31 + (-22 - 27) + 5 + 107 + 0.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -1 + -37 + -5 + -8 + 23?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 139698.\nAnswer: 2, 3, 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 91881027 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -3*v - x, -5*v - 2*x = 2*x - 51. Let t(w) = w**3 - 7*w**2 + 3*w + 2. Calculate t(v).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:54 PM and 8:49 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 a when two letters picked without replacement from {m: 4, e: 3, s: 2, a: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -14, 2, 20, 40, 62, 86?\n\"Answer: d**2 + 13*d - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2880)\/192)\/(((-4)\/10)\/(-2))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.3  (b) 2  (c) -91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 148 times 5\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 32, -3, -170, -535, -1164, -2123, -3478, -5295?\nAnswer: -7640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9127\/2 - 4563. Put 4, -0.1, 6, x, 2 in descending order.\nAnswer: 6, 4, 2, x, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -4800415114 and -288?\nAnswer: 4800414826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/334 and -115\/6?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -152*z + 20 - 164*z + 55*z + 12 + 35. Let p(m) = 87*m - 24. Let k(t) = -2*h(t) - 7*p(t). Find the first derivative of k(w) wrt w.\nAnswer: -87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven halves of a day in minutes?\nAnswer: 19440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 5*z**2 + 0*z + 4*z - 4*z. Let d(t) = -2*t**2. Determine 14*d(q) + 6*j(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 3*y + y**3 + 0 + 2 + 35*y**2 - 2*y - 34*y**2. Let c be o(2). Determine j so that -36*j**3 + 22*j**3 - 22*j**2 - 34 + 16*j**3 - c + 70*j = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6920 + 3451 + 3466 + 132*q - 3*q**2)*(-2 - 3 + 4)*(-q + 0*q - 2*q) to the form u*q**3 + x*q + b + z*q**2 and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d*d**(2\/13)*d**(3\/4)*(d\/d**(1\/3)*d)\/(d\/(d\/d**(1\/4))))**(-15))**(-45) assuming d is positive.\nAnswer: d**(75825\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/8 of a gram in milligrams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -25 + 27. Suppose -5*d - v = -7. Let x(t) = 2*t**2 + t. What are the prime factors of x(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 - 1. Which is the biggest value?  (a) -32  (b) -3\/4  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -126 + 407186.8922\nAnswer: 407060.8922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(190) + -2*sqrt(190))*-1)\/(sqrt(1210) - -2*sqrt(1210)) - -1*sqrt(228)\/(sqrt(48)\/sqrt(4)*4).\nAnswer: 37*sqrt(19)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 23492319 a multiple of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*o + 52*o + 10*d = 240, -d + 136 = 4*o. Let u = 53 + -37. Which is bigger: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*y + 167 = 1689 - 66. Calculate the remainder when y is divided by 49.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -5*a**2 + 177*a - 8. Let h(l) = -10*l**2 + 355*l - 18. Give -4*h(u) + 9*y(u).\nAnswer: -5*u**2 + 173*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7054606160.\nAnswer: 2, 5, 7, 127, 281, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4 or 261049?\nAnswer: 261049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 131157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 80*i + 33*i - 2 + 31*i + 8*i.\nAnswer: 152*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 376, 3376, 11560, 27532, 53896, 93256?\nAnswer: 148216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6.1 + 4.21. Let z = l - 0.41. Let b be 16\/(-28) + 12\/42. Which is smaller: b or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 5, 15 in ascending order.\nAnswer: -1, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -5328*o - 11. List the prime factors of a(-1).\nAnswer: 13, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 - 2*v**3 + 3 + (0 - 1 - 1)*(-2*v**3 + 4*v**2 - 4*v**2) + 3*v**2 - 3*v**2 + v**3 + 6*v**3 + 6*v**3 - 6*v**3.\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = -t + 12. Which is the second smallest value?  (a) -1  (b) -0.1  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -64759\/10 + 6468. What is the common denominator of a and -17\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.35 and 16491496.\nAnswer: -5772023.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 + 2. Let c(b) be the first derivative of b**3\/3 - 4*b - 744. What is c(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252))**2*-6.\nAnswer: -1512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1745, 8624, 27165, 63200, 122561?\n\"Answer: 972*x**3 - x**2 + 78*x + 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 5) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 39835561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, x: 4, p: 7, n: 8}. Give prob of sequence xpx.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 6765013000 to the nearest one million.\nAnswer: 6765000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*g = -2 + 56. Let n be 12 + ((-2)\/g)\/(-1)*-9. Let o be 16\/6*n*(-2)\/(-24). Solve -4*f = 14 + o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 21 = 5*x, 0 = -4*x - 5*i + 19 + 2. Let y = 41\/4 - 303\/28. Which is the second smallest value?  (a) y  (b) x  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - j = 48. Let f = -4 - -1. Let d be f*1 + (17 - -2). What is the greatest common divisor of j and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 5*b**2\/4 + 31835095*b\/2 = 0.\nAnswer: -12734038, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dcdi when four letters picked without replacement from {c: 1, r: 7, d: 2, f: 1, i: 5, g: 1}?\nAnswer: 1\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*o - 2960 = -c, -17140 + 2442 = -5*c + o. What is the greatest common factor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 24 - 65. Let h = m + 41.00000096. What is h rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:53 AM and 1:59 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-211 - -226) + (-1 - 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -18.20739014 to one decimal place.\nAnswer: -18.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, y: 2, p: 1, w: 1, q: 4, h: 4}. What is prob of sequence qy?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 5 = 2*n + 2*g, 5*n - 2*g = -7. List the prime factors of (n\/2 + 2)*568\/6.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-27)\/(-5) + (-4)\/10. Suppose 0*r - 4*r + 20 = 2*b, 2*r - 8 = 0. Solve b*p - h*p = -6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 373, 383, 435, 547, 737?\nAnswer: 1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 92*n**2 + 138*n + 69. Let b(i) = 2*i - 11. Let w(c) = 2*c - 9. Let d(x) = -5*b(x) + 6*w(x). Let s(r) = 69*d(r) - o(r). Let y(u) = u**2. Give s(y(a)).\nAnswer: -92*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -931769 = -5*x - 174*c + 170*c, -186356 = -x - 3*c. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*n**2 - 3*n**2 + n**2 - n**2 + n**2 + 2*n**2 + (-n - n - 5*n)*(-3*n + 4 - 4).\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -59*2\/(-6)*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -679711449 - -109909.\nAnswer: -679601540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - (11 - 6)) + (2 + -2 - -8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((v*v\/(v**(2\/53)*v))\/v)\/v)\/(v*v**(2\/13)\/v))\/(v**2\/(v*v**(-14)\/v)) assuming v is positive.\nAnswer: v**(-11845\/689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*g**5 - 4*g**5 + 0*g**5 + (2 + 2 - 1)*(-1 + 1 + 2*g**5) + (g**3 - 8*g**3 + 3*g**3)*(g**2 - 3*g**2 + 0*g**2).\nAnswer: 13*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 5  (b) -447  (c) -0.3  (d) 292\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*l - 2*v = 4*l - 15, -5*v = -4*l + 5. Let z be (-74)\/(-5) - 1\/l. Let x = -8 + z. Solve -2*w + 15 = -p, 2*w + x - 2 = -3*p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**3 - u**2 + 5*u + 2. Let k be ((-16)\/10 - -1)*5. Let h be i(k). Suppose h*q = 3*q + 2. Is -2\/9 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-18 + 0)*(-51)\/9. Suppose 3*h + 6*v - 3*v = k, -2*h + 2*v = -64. Let o = 6 - -5. What is the highest common divisor of o and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9 - -32 - 13 - 24) + 10 - -37?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**3 - 4*h**2 - 1537*h + 18531. What is x(13)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*d + 6, -2*k - 69*d - 20 = k - 42*d + 139 for k.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -6*o. Let u(f) = 2*f - 2. Let v(c) = -3*c + 4. Let t(s) = 5*u(s) + 3*v(s). Let i(x) = -4*x - 9. Let k(n) = 2*i(n) + 9*t(n). What is l(k(z))?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 885348.9263143 + -4080411.9263087. Let d = n + 3195061. Let o = -2 - d. What is o rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20 + 14*g - 4*g + 28*g.\nAnswer: 38*g + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/11 - ((-311)\/(-6))\/((-33)\/(-6)). Which is smaller: r or 54?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -134075, -134055, -134035, -134015?\n\"Answer: 20*s - 134095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -26*z**2 - 126*z + 12. Let m(s) = 5*s**2 + 25*s - 2. What is -11*m(c) - 2*n(c)?\nAnswer: -3*c**2 - 23*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 13*g + 13*g - 1 - 27*g. Let a be 1*(-6)\/5*-5. What is u(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 744390799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -453 - -464. What is the remainder when 0 + 2 - -1*85 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -74.1 + 67. Let p = y - -6.7. Let r = -0.3 + -0.7. Which is the nearest to r?  (a) -2  (b) -3\/7  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.066 and -0.2.\nAnswer: -0.0132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 115 is divided by 13\/(-1)*(1 + -5 - -3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 7) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 66201.1ml?\nAnswer: 66.2011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 38150 - 38145 - (-5 + (0 - (-3 + 2)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6*y**3 - 2662*y**2 + 61785 wrt y.\nAnswer: 18*y**2 - 5324*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 9  (b) -33270466  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001 - 11100010001110010?\nAnswer: -11100010001101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28367261.\nAnswer: 13, 2182097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 29 + 516. What is the second derivative of -110*k + 2*k**3 + 597*k**2 - b*k**2 - 3*k**3 wrt k?\nAnswer: -6*k + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, n: 1, f: 2, w: 3, s: 8, g: 3}. What is prob of sequence snff?\nAnswer: 1\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/(-4)*14\/(-21). Let y(j) = j**2. Let z(x) = -5*x + 5. Let k(d) = v*y(d) + z(d). Suppose -25 = c - 3*s - 8, 0 = 2*c - s + 14. What is k(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -65*h + 220*h + 1 - 81*h - 69*h. Let v(z) = -14*z - 3. Give -7*r(d) - 2*v(d).\nAnswer: -7*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -3 + 1 - 5\/(-1). Factor 11*o**2 - y*o - 4*o - 4*o**3 + 2*o - 2.\nAnswer: -(o - 2)*(o - 1)*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -e0a3 (base 16) to base 6.\nAnswer: -1122123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4070 (base 16) to base 4.\nAnswer: -10001300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2345 and 52595?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 1\/7  (b) -19\/5  (c) 1  (d) 6\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2.69, -0.3, 0.4, -1.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*n = 40*n - 9060. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 3*c = 15, 4*c = -8 - 4. Is 25 a factor of (t - 6)\/(6\/(-124))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -3*h - 4*d, -5*h - 5*d + 22 = -h. Let s(i) = 2*i - 4. What is s(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-82)\/18)\/(-1))\/(((-32223)\/621)\/(-467))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 32\/5, 2\/9, -3, -0.2?\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -2*g + 7. Suppose 8 = -63*b + 449. Give t(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9166.05472 rounded to zero decimal places?\nAnswer: -9166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 82\/3 - ((-1615)\/(-57))\/(-17)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15 + -14.99. Let v = h - 0.00999972. What is v rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 21 + 12 = 0. Suppose s*l - 11 = 7. Find the third derivative of 2*v**6 - 13*v**l + 3*v**2 + 5*v**2 wrt v.\nAnswer: -1320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 - (10 - (28 - 9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 2*p = -14, -o - 2*p + 6*p + 14 = 0. List the prime factors of ((-9)\/o - -1)*1*-254.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52517 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.61014312 + 0.61. What is j rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -2*i**2 + 206220*i + 412448 = 0?\nAnswer: -2, 103112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -36*g**2 - g. Let v(o) = -36*o**2 - o. Let z(k) = -5*v(k) + 6*w(k). Let s(t) be the second derivative of t**4\/6 + 101378*t. Calculate s(z(x)).\nAnswer: 2592*x**4 + 144*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7 - 5.2. Let p = a + 0.2. Does 2\/5 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 310 a factor of 1221400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -156 + 159. Let n(g) be the third derivative of 0*g**4 - 2*g**2 + 0 + 0*g**6 - 1\/210*g**7 + 1\/30*g**5 - 1\/6*g**f + 0*g. Factor n(m).\nAnswer: -(m - 1)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -943.7 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 139 + -112. Find the third derivative of -32*z**5 + 27*z**2 - 5*z**6 + g*z**6 + 32*z**5 wrt z.\nAnswer: 2640*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10605 - 1258. Suppose 24*d = 37*d - h. Round d to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-34 + 43)*(-5)\/30*2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2876893 less than -17683?\nAnswer: -17682.7123107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-18)\/3)\/((-1)\/30). List the prime factors of ((-2)\/(-5))\/(2\/y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -17 - -23. Let p = 0 - -1. Suppose 5*u - 19 - p = 0. Solve -u*y + z - 3 = 0, 2*y + 3 + l = -z for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -234 >= -3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -35, -71, -109, -149, -191, -235?\n\"Answer: -l**2 - 33*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d - 10, -56 = 2*b - 6*b - 4*d. Suppose -b*i + 626 = -70. What is the highest common divisor of i and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -176?  (a) 0.4  (b) -0.3  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.9 + 1.9. Sort 1, i, -3\/5 in increasing order.\nAnswer: -3\/5, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-23 - -44) + -13 + -4 + -96.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9027547 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -43802.7 rounded to the nearest 1000?\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 144 + 107. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p = -3*l - 27, 0 = -4*l - p + 27 - 30 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 187248 divided by 249?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 21335747 to the nearest integer?\nAnswer: 4619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -131*j - 69*j - 41*j + 11. Suppose -84*n + 4*n - 672 = 4*n. Is u(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*p**3 + 4*p**3 + 0*p**3 + (1 - 1 - p)*(-8*p + 8*p - 4*p**2) - 3*p**3 + p**3 + 4*p**3.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 32  (b) -0.3  (c) -0.2  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 66, -136, -336, -534?\n\"Answer: q**2 - 205*q + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*(s\/s**(2\/39))\/s*s*s\/s**11)\/(s\/(s*s**12*s*s*s)*s*s\/(s\/(s\/(s**4\/s*s))*s)) assuming s is positive.\nAnswer: s**(388\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.24 and 30?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes before 1:38 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -376*q**4 - 321*q - 88*q - 48*q wrt q.\nAnswer: -4512*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -636 - -116516?\nAnswer: 115550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b + 25. Let o(y) = 12759*y + 0 + 12759*y - 24 - 25519*y. Calculate -7*o(k) - 6*v(k).\nAnswer: k + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - 0 - (5 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 540, 480, 304, -48, -636, -1520?\nAnswer: -2760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*3*3\/9*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -58, 48, 36.\nAnswer: -58, 36, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 125771 divided by -9.\nAnswer: -125771\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2820*i**4 + 292*i**3 - 21*i**2 - 84685613*i wrt i.\nAnswer: -33840*i**2 + 1752*i - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 14*r - 97. Let b be y(7). What is the nearest to 2\/3 in -2, -2\/35, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 627 + -1610. Let f = 1491 + s. Let q(l) = f - 4*l - 508. Let c(b) = -6*b. What is c(q(v))?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4569176 is divided by 1643.\nAnswer: 1636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2567445 is divided by 676.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 + -3. Let z(o) = o - 1. Let m be z(w). Suppose 0 = -m*t + t. Which is the second biggest value?  (a) t  (b) -2\/17  (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 25 - 23. Let i(w) = w**o + 4*w + 18 + 17 - 32. What is i(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*p**4 + 10*p**4 + 0*p**2 + 0*p**2 - p**2 + 28 - p - 4 to the form b*p**2 + r*p**4 + s*p**3 + l + t*p and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-448 - -449)\/(2\/14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39361222 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 2*n - 66414 = 0, -t + 36737 = -5*n + 3524. Does 28 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 + w**3 - 9 - 5 + w**3 + 2*w**3 + 0*w**3 + (2*w + 2 - 2)*(-8*w**2 - 3*w + 3*w).\nAnswer: -12*w**3 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*o - 5*w - 312, 2*o + 2*o - 445 = -3*w. Calculate the remainder when o is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10575 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**3 - 3*r**2 - 3*r. Let c be p(-2). Suppose c*j + 2*j = 0. Suppose -4*n = g - 42, j = 5*n + 2*g - 41 - 10. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:10 PM and 6:35 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -210022101101 (base 3) to base 15\nAnswer: -8443a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-11)\/(143\/258) - 2\/13. Let g be (-1)\/((-2)\/p)*(-132)\/3. Suppose 2*q = -4*k + g, -2*q = q + 4*k - 656. Is 36 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f**5 - 9*f**5 - f**5)*(-6 - 7 + 1) + (-6 + 8 + 0)*(4*f**5 - 2*f**5 + 0*f**5).\nAnswer: 112*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.029 times -7\nAnswer: 0.203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 24\/343 and 24\/932267?\nAnswer: 45681083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 37574.629 to the nearest 10.\nAnswer: 37570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-3030)\/(-27) - 8\/36?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 102656149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14834019 to the nearest integer?\nAnswer: 3851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.52607 * 0.1.\nAnswer: 0.052607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**2. Let v(l) = -73*l**2. Give g(v(t)).\nAnswer: 5329*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -4178105 divided by 835621\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 377.3817 litres to millilitres.\nAnswer: 377381.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 40 + 11. What is the greatest common factor of 17 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*z + 8*z + 135. Calculate the greatest common divisor of z and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 86767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2.8 - 4.2. What is the closest to 3\/2 in k, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -106 + 422 = 4*z + 4*c, 395 = 5*z - 3*c. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8909 + 5888 = 57*q for q.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 81\/(-264) - (2\/(-16) + 0)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -42\/127 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o**2 - 12056184*o - 9084473290116.\nAnswer: -4*(o + 1507023)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -146 - -203. Let u = l + -49. Solve 4*g = 4*k + u, g + 4*g = 2*k + 13 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*t + t + 3*t)*(-277768 + 789*t + 277768).\nAnswer: 1578*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.05?  (a) -27  (b) -1\/9  (c) 3  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1907 - -1907.2. Which is the nearest to 28?  (a) l  (b) 2  (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -d + 19?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l - 1 - 4. Suppose -2*j + 2*a = -2, 5 + 6 = 2*j - l*a. Let o = 5 + j. What is the remainder when 9 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -73*t**4 - 7213*t**3 + 30*t**2 - 40510?\nAnswer: -1752*t - 43278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2 - -1)\/((-5)\/25). Suppose -a*s + 45 = 5*g, 3*g - 10 = 4*s + 10. Suppose -g + 1 = -t. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k + 1. Let g(x) = 9*x - 6. Suppose -3*l - 4*z = 13, -l + 9*z + 21 = 4*z. Suppose v + 1 = -2*o + 3, o - 3*v - l = 0. Determine o*g(w) + 6*q(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (8 - -3) + -22 + -31.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {y: 3, b: 6, p: 2, h: 2, z: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**3 + l**2 - 3*l + 2. Let c(k) = 3*k**4 + 12*k**3 - 123*k**2 + 234*k - 12. Let m(w) = c(w) + 6*r(w). Find u, given that m(u) = 0.\nAnswer: -8, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q + 2. Let s be y(2). Suppose 0 = -s*n - n - 1. Let p be 1\/7*n*2. Which is the closest to 1?  (a) -4  (b) 4\/7  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-26*m + 26*m + 47*m)*(-4*m + 2*m + 7*m) + m**2 + 2*m**2 - 4*m**2.\nAnswer: 234*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**2 + 8*p - 5. Let h be b(-9). Suppose 0*g = -g + 111. Suppose 0 = h*z - g - 1081. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 5644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 102647 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1557 + -1556.8. Which is bigger: y or -2\/435?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*m**3 - 62*m - m**4 - m**3 + 2*m**3 + 60*m + 2*m**4 - 4*m**2 to the form a*m**3 + l*m + h + q*m**4 + y*m**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 187412200.\nAnswer: 2, 5, 19, 149, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 369 and 779.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 3*d - 60. Give x(24).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10 - 4) + 51\/(-9)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the first derivative of 2581*g**4\/2 + 2*g**3\/3 + 2*g**2 + 809*g - 8164. Find the third derivative of m(q) wrt q.\nAnswer: 30972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 646 + -316. What is the greatest common divisor of 30 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19654 minus -0.0057521?\nAnswer: 19654.0057521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -355, -773, -355, 1811, 6637, 15035, 27917?\n\"Answer: 152*z**3 - 494*z**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:09 AM and 7:26 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*b**4 + 30 - 3*b**3 - 591191*b**2 + 2*b + 591191*b**2 as m*b**4 + x*b**3 + r*b**2 + q + o*b and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b**3 + 4*b**2 + 2*b - 2. Let p be y(2). Suppose p = 6*u - 2. Find k such that 44*k**2 - 4*k - 43*k**u + 5*k - 4*k = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 126344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 36324105913 + 19\nAnswer: 36324105932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -0*v - 56. Let f = -8 + 16. Calculate the greatest common divisor of v and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 0.6327577 weeks?\nAnswer: 382691856.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.541 and -21.\nAnswer: -20.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 - 2. Suppose -2*b - h*b - 22 = -3*t, -2*t = -5*b - 18. What are the prime factors of b\/(-12) - 2324\/(-24)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 1)*(0 + 1 - 2)*(-286*b + 155*b - 369*b).\nAnswer: 500*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*p - 391622*h + 391617*h + 31, 2*h = -317*p + 644 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate q**3 + 27917*q**2 - 3*q + 30207 with respect to q.\nAnswer: 3*q**2 + 55834*q - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*f**3 - 2*f**3 - 4*f**3 + (-3*f + 3*f + 2*f**2)*(1 - 1 + 3*f) + (-2*f**2 + 1 - 1)*(-2 + f + 2) + 0*f**2 + 3*f**3 + 0*f**2.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 4, -3, -47 in decreasing order.\nAnswer: 5, 4, -3, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -1, 194 in decreasing order.\nAnswer: 194, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*g = 117*g - 285822. What is the greatest common factor of 158 and g?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((10 - -8) + -9 - 7) + -21?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 138 = 126, -4*i + 34 = l. Let v be ((-2)\/(-3))\/((-3)\/(-9)). Calculate the least common multiple of i and (7 + (4 - v))*1.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*o - 3 = -47. Is -3\/38 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**2 - 7*x - 3. Let o be c(8). Suppose 0 = -2*q + 3*k + 12, -k - 4*k = -o*q + 40. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - s - 11 = 0, 36*w - 5*s - 31 = 32*w. Suppose -3*x + 681 + 70 = h, -w*h - 5*x + 2983 = 0. What is the highest common divisor of 14 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 6*p**4\/7 - 102*p**3\/7 - 228*p**2\/7 = 0.\nAnswer: -2, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*k - 140 + 28. Let q = k + 54. What is the highest common factor of q and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 - -8. Suppose 14 = p*l - 34. Calculate the greatest common divisor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -157*c = -4*c + 28*c + 6697 for c.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (36 - (-5 + 39)) + 23?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5525\/(-325)*11\/17*-1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 73\/28 + -3 + (-7)\/(-28).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a kilometer in centimeters?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange a**2 + 0*a**2 + a**2 + (a**2 - 2*a + 2*a)*(-454 - 21 - 116) to y*a + h*a**2 + l and give h.\nAnswer: -589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 136 + 452 = 3*d + 4*i, -3*d = 3*i - 594. What is the greatest common factor of 1173 and d?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1327507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -21 - 317099906476.\nAnswer: -317099906497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 10 = -n, n + a + 2*a + 15 = 0. Suppose t - 5*t + 16 = n. What is the nearest to -2 in 2\/3, t, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 26 = 7*f, -4*r + 8 = -f + 4. What is the second derivative of -1 + 8*o + 127*o**2 + 9*o - 83*o**r + 13*o wrt o?\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4*((91854\/84)\/(-81))\/((-12)\/((-2)\/(-2)))\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 391 a factor of 823837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/16*(-11)\/(297\/18).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*k - 40*k = 0. Solve 4*n + 20 = -k*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35397\/3105 + (-782)\/80?\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*c**2 - 40*c**2 + c**2.\nAnswer: -49*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1101001010110100100 (base 2) in base 4?\nAnswer: -1221112210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 11) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 575 - 828. Sort -4\/3, y, -2\/7, 1.\nAnswer: y, -4\/3, -2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.087 + 0.084. What is b rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 4*j - 23 = 0, -15*j + 20*j = 5*s - 40. Suppose -5*i + 249 + 96 = 5*a, -278 = -4*i - s*a. Calculate the remainder when i is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000528081692 rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 72*h**2 + 72*h**2 - 143*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/(-656)*6\/6?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -283*o + 285*o = 48. Suppose -205*l = -530 - 290. Solve o - l = 5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10 + -10. Let h(v) = 3*v - 1. Let k be h(-1). What is the third smallest value in -0.7, s, k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(1\/9)*c**(-1\/4)\/c)**(-2\/9)*((c*((c\/(c\/(c*c**(4\/3)))*c)\/c*c)\/c)\/(c*c*c**(-4)))\/((c\/c**(-4))\/(c\/(((c**(2\/3)\/c)\/c)\/c))) assuming c is positive.\nAnswer: c**(635\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**3 + 8*b**2 - 3*b + 6. Let m be j(-6). Let n = m + -41. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:30 AM and 8:31 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes after 12:39 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*o + 20 = -4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -157 + 322. List the prime factors of q.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -271*z - 110. Is 93 a factor of i(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -272 = 474*m - 21602 for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the first derivative of 1\/2*t - 1\/6*t**3 - 3 + 0*t**2. Find g such that y(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 15\/16 of a kilometer?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -16*s. Let k = -42 + 49. Let o(d) = 8 - 2*d + k - 15. Calculate o(p(h)).\nAnswer: 32*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**3 + 9*j**2 - 13*j + 137. Let t = 39 - -1. Suppose -9*v + 14*v - t = 0. Calculate the remainder when g(-11) is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 625915679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 358524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -484 - -4?\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes after 1:20 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/(-27))\/(((-2)\/(-6))\/(6\/(-1)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, 4, 2\/243?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**6)**(-5\/2)*n**17*n*n*n**(-1\/5) assuming n is positive.\nAnswer: n**(13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*t**3 + 4950*t**2 + 19720*t.\nAnswer: 5*t*(t + 4)*(t + 986)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 15*c**3 - 5*c**2 + 4*c. Let y be w(2). Let z = 60 - y. Let i be -3*(-4)\/z + 0. What is the nearest to 0 in 1\/9, 2, i?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -125\/48246114 and 79\/10892?\nAnswer: 96492228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 20*b + 9*b**2 - 12*b + 11*b + 7*b + 24*b to u + i*b**2 + x*b and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/4*(15 + -11 + -8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-501571641)\/(-9018) + 2\/36?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-68)\/6)\/(4340\/(-1860)*2\/14).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**0)**(-31)*(s\/s**(3\/4))\/s**(-2) assuming s is positive.\nAnswer: s**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k**4\/11 - 5446*k**3\/11 + 118862*k**2\/11 - 4374*k - 1361304\/11 = 0 for k.\nAnswer: -3, 4, 21, 2701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75 = -2*o - 5*w, 77 = 2*o - 12*w + 15*w. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v + 5*m = -19, -11 = 4*v - 9*v + 4*m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u = -4*d + 26, 6968 - 6933 = -2*u + 5*d for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10739, -12305, -13893, -15515, -17183, -18909, -20705, -22583?\nAnswer: -24555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/18*(-28)\/70*-18.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 762 + -342. Let j be (-2)\/6*5*h\/(-350). Solve 0 = 2*a + j*v - 2, 3*a - 8*a + 23 = -v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes before 12:20 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 742814931 and -4.\nAnswer: -2971259724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.745, 1\/5, -34\/55?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 4*a - 2. Let g be s(12). Suppose 30 = -2*t - 4*r, -4*t - 4*r + 3*r - g = 0. Let h(d) = d**3 + 16*d**2 + 36*d. What is the hundreds digit of h(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7265.101767 rounded to 0 decimal places?\nAnswer: -7265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4340 is divided by 638?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 130 * -0.5\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 + 0. Suppose 2 = 2*p - b. Calculate the greatest common divisor of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1411 divided by 3\nAnswer: 1411\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 11) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 80.360666602 - 402.\nAnswer: -321.639333398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbxbbqbbebbxxbeqq. Give prob of picking 2 x and 2 q.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -25*f**3*l**3*n**2 - 230*f**3*l**3*n - 132*f**2*l**3*n**2 - 2*f**2*l - 25*l**3*n wrt f?\nAnswer: -150*l**3*n**2 - 1380*l**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -2*c - 3*f - 4, 4*c - 5*f = 70. Suppose -77 = -c*m + 8*m. What is the highest common factor of 121 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -26026 (base 7) to base 8.\nAnswer: -15340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 63005 is divided by 354?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5155, 10622, 16089, 21556, 27023?\nAnswer: 32490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/12)\/(555\/(-888)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/((-36)\/(-57))*-36. Let b = -225 - i. Solve -b*v = -8*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 2*c**3 + c**2 - c. Let h be p(1). Let r(m) = 0 - 2 + 17*m - 25*m + 19*m. Does 9 divide r(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 64 + -16. Let g be (28\/2)\/((-8)\/y*-2). Let q be (-4)\/7*g\/(-4). Solve l + 1 = q for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/14 and (-2)\/(1 + 5) - (24 - 516\/16).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 606*j**2 + 2*j - 3. Let g be f(1). Let b = 965 - g. Suppose -5*i = -c - b, 4*i - c - 288 = 4*c. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(192) + 3 + sqrt(192))*3)**2 + (2*sqrt(3) + 2)**2 + -2.\nAnswer: 872*sqrt(3) + 7007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*o**3 + 11565*o**2 - 1741495*o - 1753065 = 0. What is o?\nAnswer: -1, 163, 2151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*w - 307 - 122 + 555 - 125.\nAnswer: 12*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*(-5)\/(-15)*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve s**5 + 19*s**4 + 44*s**3 - 64*s**2 = 0 for s.\nAnswer: -16, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the second derivative of -3*q**5\/5 - q**3\/2 - 58*q**2 - 118*q. What is the first derivative of s(c) wrt c?\nAnswer: -36*c**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence innn when four letters picked without replacement from sdnidnnjjjdddsr?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (((-99603)\/(-6))\/17)\/(3\/126)?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12100001 - -10?\nAnswer: -12022221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in fifty-two fifths of a kilometer?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 364826?\nAnswer: 2, 7, 11, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -5*w - 2*s, 10*w - 5*w - 3*s - 14 = 0. Let i = -9.289 - 0.011. Let z = -9 - i. Which is the smallest value?  (a) w  (b) z  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**3 + d**2 + 1. Let b(k) = 3*k**3 - 8*k**2 - 3*k + 6. Let n(y) = -b(y) + 2*r(y). What is the hundreds digit of n(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 357802.7 centimeters?\nAnswer: 3578.027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6643?\nAnswer: 7, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -5588276, -11176550, -16764824?\n\"Answer: -5588274*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w + 2*w + 0*w - 3*w)*(-2786*w**2 + 838*w**2 - 2418*w**2).\nAnswer: 8732*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3 + 4\/3)\/((-4)\/12). Suppose -r*c - 6*c = -1287. List the prime factors of c.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3141 is divided by 1043?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1144526718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.7 from -6.47313925.\nAnswer: -7.17313925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the first derivative of 3505*c**2 - 2961*c + 7906. What is the derivative of v(m) wrt m?\nAnswer: 7010","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 - -2 - 0 - (-699 - -699).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the first derivative of g**4\/28 - 5*g**3\/21 - 22. Let y(w) = 0. What is w?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*m - 750 = 522. Let b = m - -413. Is b a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -21*h. Let o(y) = -y**2 + 4*y - 2. Let j(n) = -6*n**2 - 17*n + 10. Let f(r) = -j(r) - 5*o(r). Calculate f(t(s)).\nAnswer: 4851*s**2 + 63*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 379682 is divided by 672.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9192 + -8437. List the prime factors of u.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7222728 - -86806997\/12. Let w = -11177 + f. Calculate the common denominator of w and -19\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 less than 290?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 165 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2\/89 + -81\/356. Let l(i) = -i**3 + 7*i**2 - 7*i + 3. Let h be l(6). Which is the closest to 0?  (a) h  (b) j  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = 3*g - 435. What is the remainder when g is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14700 and 6015.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 549 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1071 - 1066. Solve 2*k - 5*v = -k + 20, s*v = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence att when three letters picked without replacement from ataaataaa?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 136\/176*3870\/(-10965)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 8*g**2 - 48*g - 1528.\nAnswer: 16*g - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 4*r + 3. Let a(v) = v**2 + v + 1. Let w(k) = -7*k**2 - 5*k - 4. Let d(j) = r*w(j) - 5*a(j). What is the derivative of d(z) wrt z?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65 = -29*a + 42*a. Let h(i) = 9*i - 10. Let v(t) = -4*t + 4. Let d(w) = a*v(w) - 2*h(w). Let g(z) = 160*z**2. Calculate g(d(c)).\nAnswer: 640*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*a - 35*a = 15. Let g(o) = 6*o + 2. Let n(l) = -3*l - 1. Determine a*n(k) + 2*g(k).\nAnswer: -3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(1125)\/sqrt(9) - sqrt(160)\/sqrt(8)))**2 + (sqrt(605) + 5 + sqrt(605) + 2 + 4)**2.\nAnswer: 508*sqrt(5) + 2602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(5\/3))\/y)\/(y*y*y*y**(-15)\/y) assuming y is positive.\nAnswer: y**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -31 in -0.1, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 16613034989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the second derivative of 5\/12*n**4 + 1\/20*n**5 - n + 5\/2*n**2 + 7\/6*n**3 + 0. Give b(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -6*w**2 - 12*w. Let t(l) = 28375*l + 5. Determine t(k(d)).\nAnswer: -170250*d**2 - 340500*d + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d**2\/15 - 15352*d\/15 + 29460488\/15 = 0.\nAnswer: 3838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 326192 less than 326191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ywhw when four letters picked without replacement from wyyywhwhhhwhnoy.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*x + x**3 + 30*x**3 - 9*x**3 to the form f*x**2 + y + q*x + i*x**3 and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (135\/(-9))\/((-3)\/2). Suppose 25*i - 27*i = -a. Suppose -i*n + 1334 = 2*k + k, -n = k - 444. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes before 10:50 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-2*sqrt(36)\/(2*sqrt(12)))**2 + -1*sqrt(108) + (sqrt(12) - (sqrt(48)\/sqrt(4))**2).\nAnswer: -4*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -1172350 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8*t**2 - 23808228*t + 11904116.\nAnswer: -4*(t + 2976029)*(2*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -17.8212 to one decimal place.\nAnswer: -17.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -68\/1540845?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 138 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 3*j + 852 = 0, -5*t = -j - 614 - 818. Let d = 299 - t. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w**2\/7 - 289230*w\/7 - 23249016 = 0. Calculate w.\nAnswer: -95844, -566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001443 to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1655, 3, -11, 2, 0 in descending order.\nAnswer: 3, 2, 0, -11, -1655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 98 = -3*p. Suppose 5*q - 2 = 3. Let y = 16 + q. Calculate the remainder when p is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 208*c + 14*c**2 - 13 - 224*c - 6*c**3 + 7*c**3. Let a be s(-15). Solve a - 4 = 2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.7 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1365 and 2184?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/31877 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-6882)\/(-37))\/6)\/1?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3585 is divided by 99.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0.057 * -29\nAnswer: -1.653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*a - 2*a - a - 13*a to the form k + m*a and give m.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1497\/3944 + -9\/1972. Which is the nearest to r?  (a) 19  (b) -2\/7  (c) 5  (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3 + (-2 + 1 - -2). Let s(y) be the first derivative of 4*y**2 - 34*y - 10. Let r be s(4). Is r at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7861085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.3 and 3316.71283.\nAnswer: 3316.41283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:02 PM and 2:12 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 12\/3*((-9)\/6)\/(-3). Let w(z) = z**2 + 4*z - z**3 + 1 + 1 + 0*z - 5. Let j be w(2). Put y, -1, j in descending order.\nAnswer: y, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((-3*(sqrt(208) + (sqrt(208) - (sqrt(208) + 6*-2*sqrt(208))) - sqrt(208)))**2 + ((1*sqrt(208))**2*-4 - sqrt(208))*-5 + 5).\nAnswer: 100*sqrt(13) + 1368665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 14\/(-56) + 1291769\/(-42). Let t = s - -30756. What is the common denominator of 65\/132 and t?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -12088*s - 229520. Calculate y(-19).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 7713b (base 12) to base 9\nAnswer: 258862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 - -58555426?\nAnswer: 58555428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the third derivative of -2*j**4\/3 - j**3 + 41*j**2. Differentiate y(u) with respect to u.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -67814, -67837, -67868, -67901, -67930, -67949, -67952, -67933?\n\"Answer: y**3 - 10*y**2 - 67805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, -3\/4, -2\/5, -2, 27\/11, 2, 2.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 30, 29, 40, -1 in decreasing order.\nAnswer: 40, 30, 29, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 740624 is divided by 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**3 - 7*w**2 + w - 7. Determine l(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 11\/4 of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -719 = -80*z + 490 + 391. What is the remainder when 49 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.2 + 0.2. Let t(k) = k**2 - 4. Let n be t(3). Let x be -12 - -15 - (-7)\/(-3). Which is the nearest to y?  (a) -1\/11  (b) x  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.2 + 0.2. Let r(m) = m**2 - 15*m + 58. Let a be r(9). What is the closest to a in w, -5\/4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) - sqrt(49)\/(-4*sqrt(7))) + sqrt(56)\/(sqrt(64)\/sqrt(8)) - 4*(3*(-1*sqrt(448) - sqrt(448)))**2.\nAnswer: -64512 + 9*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13 + 9. Let f(p) = -p + 1. Let m(g) = 2*g - 2. Let w(y) = a*m(y) - 4*f(y). What is the derivative of w(x) wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 2*j**2 + 43*j - 15. What is t(-22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -2224, -4448, -6672?\n\"Answer: -2224*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 45866587?\nAnswer: 13, 113, 31223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 16591\/5  (b) 4  (c) 5  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 1, -118, -2 in descending order.\nAnswer: 1, -2, -4, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 z and 1 v when four letters picked without replacement from {v: 9, z: 10}?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1886 = -28*k + 5*k + 105*k - 8528 for k.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and 9\/37187 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/590 and -46\/5.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = 4*z + 4*h, -4*z + 4*h = -0*h for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*d**3 + 3*d**3 - 4*d**4)*(-5 - 6*d + 5) + 15 - 15 - 4*d**5.\nAnswer: 20*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a millisecond in microseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1113 is divided by 1017.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/w**(-3))\/w)\/(w**(-6)\/w))\/(((w*w*(w*w**(4\/5))\/w)\/w)\/(w**(2\/9)*w))*(w**(-1)\/w**(-4))\/(w**1*w)**(8\/11) assuming w is positive.\nAnswer: w**(5429\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**3 - 39*w**2 + 2*w - 75. Let p be m(39). Which is the second biggest value?  (a) -0.7  (b) -0.5  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/2 - 0\/(-3). Let v = 75 + -72. What is the closest to v in o, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((sqrt(252)*3 - sqrt(252)) + 2))**2 - (-1*(sqrt(252)*3 + sqrt(252))*-6)**2.\nAnswer: -144140 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the third derivative of -f**8\/20160 - f**5\/60 - f**2. Let l(r) be the third derivative of b(r). Let t(v) = -9*v - 3*v + 14*v. Calculate t(l(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(57)\/sqrt(3))**2 - (sqrt(76) - (2*sqrt(76) - sqrt(76)))\/sqrt(4))*-1.\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*s**4\/2 + 505*s**3\/4 + 1461*s**2\/4 + 314*s - 7 = 0. What is s?\nAnswer: -7, -2, 1\/46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19414, -8, 0.083 in descending order.\nAnswer: 0.083, -8, -19414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1547, 1241, 923, 593, 251?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (41\/(-9840)*-30)\/((-1)\/(-3) - (-507)\/936)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - x - 3*x - 13 = 0, 4*z + 2*x = 10. Suppose -z*v + 1 = -5. Let r(f) = 4*f**2 - v + 3 - 2. Give r(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -169 - -247. Is m a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -792 - -795. Suppose d - 1 = 0, k*p + 3*d = 5*p - 237. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*h**2 - 240210*h + 2885042205.\nAnswer: 5*(h - 24021)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -47572 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3004*a*b**3 + 3*a + 329*b wrt b?\nAnswer: 18024*a*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 605 and 34202.\nAnswer: 20692210","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -17?  (a) 1  (b) 17  (c) -3  (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*p + 39*p = 340. Solve p = -3*r + 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -71182432951855557*d - 3*d**2 + 71182432951855551*d.\nAnswer: -3*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 70*l - 3. Let q(y) = 248*y - 8. Calculate 19*c(h) - 6*q(h).\nAnswer: -158*h - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the first derivative of 3*t**5\/20 - t**3\/6 + 21*t**2\/2 + 6. Let u(w) be the second derivative of x(w). What is the first derivative of u(n) wrt n?\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -110 - -40?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the first derivative of q**4\/4 - 28*q - 4. Let k(f) be the first derivative of w(f). Let i(c) = 10*c**2 - 2*c**2 + 0*c**2. What is i(k(t))?\nAnswer: 72*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-90)\/(-700))\/(3\/7)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 890.4528 centimeters in nanometers?\nAnswer: 8904528000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*w + 20*w - 36 = 0. Let v be 47\/15 - w\/630*7. Suppose v*y - 4*y + 179 = p, 0 = -p + 4*y + 164. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2103 + -10230?\nAnswer: -12333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q - 0 + 30. Suppose q = 4*x + 2. Suppose t - 3 = 5. What is the greatest common factor of x and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(-12) + 124\/(-24). Let i be (1490\/50 - 30)\/(1\/(-25)). Sort u, i, -4, 0.\nAnswer: u, -4, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1426, -1425, -1424, -1423, -1422?\nAnswer: -1421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) -2\/11  (b) -1  (c) 3776\/33  (d) -0.3  (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 5*(sqrt(1573) + (sqrt(1573) - sqrt(1573)*1)) + -4.\nAnswer: -8 + 55*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -29*w + 7*w - 14*w - 8 - 6*w wrt w?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 9*o**3 - 21*o**2 + 10*o + 1. Let m(t) = 5*t**3 - 11*t**2 + 5*t. Let f(j) = 7*m(j) - 4*p(j). Calculate f(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(33)\/(sqrt(3)*1) - sqrt(11) - sqrt(11) - 5*(-1 + sqrt(11))) + 3 - (-3*sqrt(44)\/(sqrt(4)*-1) + -4).\nAnswer: -9*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 525 = -2*r + 284, 5 = h. Suppose -3*i = -5*f - r, -2*f + 0 = 4. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 + -1. Suppose y = -3*a + 18 + 162. What is the greatest common divisor of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 - 1)*(0 - 4*u + 0)*(2 + 1 + 0).\nAnswer: -24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2235 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -x**2\/2 - 36*x + 553\/2 = 0?\nAnswer: -79, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 522763, 522810, 522859, 522910, 522963, 523018, 523075?\n\"Answer: v**2 + 44*v + 522718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 5\/(2\/(-8)*-1). Let d = x + -13. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*l - 40*l**2 + 5*l**3 - 2*l**3 + 11*l**3 - 11*l**3 to the form d + j*l + i*l**3 + t*l**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 422 - 437. Which is smaller: -325\/4 or a?\nAnswer: -325\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = k + h - 19, h = -k + 16. Let s = 201 - 144. What is the remainder when s is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**2 - i. Let f(w) = 90*w**2 - 144*w. Determine 3*f(v) - 432*o(v).\nAnswer: -162*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 244727 (base 9) to base 10\nAnswer: 147850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 476*h - 491*h = -833655. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-276)*60\/(-76). Let z = 4175\/34086 - p. Let x = -193\/897 + z. Is x at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10411625 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*q = 56*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9228, -9176, -9090, -8970, -8816, -8628?\nAnswer: -8406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -269 + 273. Suppose c*f = 8*f - 8. Suppose 3*u - 4 = u. Solve f = -m - u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13471?\nAnswer: 19, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**3 - 3*u**2 - u + 149. Let a(q) = 4*q**3 - 13*q**2 - 5*q + 596. Let i(j) = -2*a(j) + 9*y(j). What are the prime factors of i(0)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 5, j: 3, w: 1, r: 1, i: 1}. What is prob of sequence jjja?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.08 + -8.32. Round m to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 286*h**3 - 2406*h**3 - 855*h**3.\nAnswer: -2975*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 50 - 64664?\nAnswer: -64614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s**5 + s**4 + s - 1. Let x(p) = -7*p**5 - 4*p**4 - 4*p + 18. Let j(b) = 6*v(b) + x(b). What is the second derivative of j(z) wrt z?\nAnswer: -20*z**3 + 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 11394\/6299?\nAnswer: 11394\/6299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m + 5*n - 46, 3*m - 3*n - 100 = -m. Solve 0*j - 3*j + m = -4*l, 5*l + 3*j = -14 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 304643423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -53\/60 - -17\/15. Sort w, 0.3, -4\/9, 2 in decreasing order.\nAnswer: 2, 0.3, w, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -0.2  (b) 4  (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 12 = 2*x. Suppose -i = x*i - 168. What is the highest common divisor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g - 182 = -1169. Calculate the greatest common factor of g and 329.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 1 c when three letters picked without replacement from {c: 4, v: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/(-16))\/((-275)\/(-8030)) + (-2)\/8?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -173?\nAnswer: -3\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 21*j**2 + 308*j + 3. What is i(-17)?\nAnswer: 836","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8623\/6 + 1436. Put z, 0.3, -1, -4 in descending order.\nAnswer: 0.3, -1, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that -12*j**5\/5 - 76*j**4\/5 - 108*j**3\/5 + 44*j**2\/5 + 24*j + 32\/5 = 0.\nAnswer: -4, -2, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*(y**(-9)\/y)\/y)\/y*(y**(-3\/7)*y)\/y*(y**(-6\/7)*y*y*y*y*y*y)**(-1\/20) assuming y is positive.\nAnswer: y**(-409\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i - 2097 - 865. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.079 + 0.09575. Round q to 3 dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -126*a - 878. Let y be m(-7). Solve 5*k - 5*c = 0, y*k - k + 3*c + 18 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -3*a + 16. Let w be (-1)\/((-3)\/(a\/1)). Solve -2*l + l - 2*l**3 + w*l = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26022*s + 8671*s + 8672*s + 8672*s.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21\/84 - ((-7)\/4)\/(3 - -2).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 391 + 246 = 0. Calculate the greatest common divisor of 203 and f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g + 1. Let x = -95 + 102. Let t(k) = 351 - 172 + x*k - 171. Let l = -1 - -2. Give l*t(w) - 5*i(w).\nAnswer: 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5325391 meters in kilometers?\nAnswer: 0.0005325391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {m: 12, r: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, j: 4}. Give prob of picking 2 j.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 53248441 to the nearest integer?\nAnswer: 7297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -4 + 596\/84 + 0 and 7\/33?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (197\/20 - 6\/24)*15. Calculate the greatest common divisor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 17\/6?  (a) 4  (b) 0.7  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 957*d = 961*d - 4. Let t(r) = r**2 + 3*r - 34. What is the smallest common multiple of t(-8) and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l and 1 c when three letters picked without replacement from {c: 3, l: 7}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 8 = 3*w + 27, 25 = -5*w. Suppose -2*n + 3*n = -l + 2, -4*n - l - 7 = 0. Let v = 4 + n. Put v, d, -1 in descending order.\nAnswer: d, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10246 a multiple of 290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - x + 2*x**2 - 100*x**3 + 108*x**3 + 3*x as y*x**3 + h + u*x + f*x**2 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 18 = -3*k, 12*m = 4*k + 8*m. Let a = 48 - 32. Solve 0*n = -2*n - 10, -5*n - a = -k*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 1462475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 + -4. Let t = g - -5. Suppose 30 = 5*p - b + t*b, p - 6 = -3*b. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from moojmotrfmjr. Give prob of sequence oo.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 4 = 2*a. Suppose -a*p - 40 = -2*o - 2*o, 0 = 3*p - 6. Calculate the remainder when o is divided by (-8)\/(-20)*(2 + 13).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 5 = -5. Suppose -4*t + 42 = 2*d, -6*d - 4*t = -3*d - 57. Solve -d = p*q + q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2*i + 3)*(-i + 4*i - 2*i + (5*i - 2*i - 4*i)*(-1 + 0 - 6) + 0 - i + 0 - 2*i + 3*i + 21*i).\nAnswer: 58*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -5*z - 35, -11*w + z = -6*w - 55. Solve w*i - 10 = 15*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00003596873353 rounded to 7 dps?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 24720 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -55010*x - 110014. What is g(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -883\/20 + -13\/5. Let v = h - -47. What is the third biggest value in v, -1\/4, 1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - 1 - (3 - (4 - -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 + 3. Suppose -4*r + a*r = -16. Suppose -r*u + 59 = 7. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 17 - 12. Suppose 0 = 4*r - 19 - w. What is the derivative of 2*i**2 + 3 + 1 - r wrt i?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -2*o**3 + 3*o**2 - o - 2. Let d(f) = -6024*f**4 + 10*f**3 + 12578*f**2 + 5*f + 10. Let u(x) = d(x) + 5*m(x). Find the third derivative of u(k) wrt k.\nAnswer: -144576*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1570, -1576, -1586, -1600, -1618, -1640?\nAnswer: -1666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 7 = 4*b, 2*a - 5*b + 4*b - 7 = 0. Let y(g) = -1. Let p(u) = u - 11. Let z(d) = p(d) - 4*y(d). Let w be z(8). Solve a*v - w - 19 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-20)\/(-105)*42\/(-28)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (10 - (3 + -1 + (1 - 6)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:44 PM and 8:06 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1430, 1424, 1416, 1406, 1394?\nAnswer: 1380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -34, -43, -3 in increasing order.\nAnswer: -43, -34, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*w - 2168*w**4 + 2169*w**4 - 70 - w**2 + 71 in the form u*w**2 + t*w**3 + m*w**4 + p*w + f and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1192*o**2 - 3974*o**2 + 1265*o**2 + 1328*o**2.\nAnswer: -189*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.36757 - 0.03243. Let k = 2.04 + -0.04. Let f = k + -1.6. What is the smallest value in l, -21\/2, f?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50\/20*(-18)\/(-30)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 620702241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 16) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21600\/(-1024) + 18 + 3.\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -2*k**4\/21 - 16*k**3\/7 + 106*k**2\/21 + 16*k\/7 - 104\/21 = 0.\nAnswer: -26, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3867*y*z**3 - 2*y*z**2 - 6636*z**3 wrt y?\nAnswer: 3867*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 433718 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 237*a**2*i + 2*a**2 - a*i + 226*i + 4 wrt a.\nAnswer: 474*a*i + 4*a - i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -5*x**2\/3 - 1125*x - 72360 = 0.\nAnswer: -603, -72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 383.07 - 386. Let m = 0.07 - k. Sort 3\/5, m, 0.1 in descending order.\nAnswer: m, 3\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -54530 or -54524?\nAnswer: -54524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/(-1)*9\/2. Let i be n\/(-5)*(-30)\/(-9). Differentiate 2*o - o - i - o - 7*o**2 with respect to o.\nAnswer: -14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.0907 - -0.5907. Which is the closest to 0?  (a) -2\/7  (b) -9  (c) 1  (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**3 + 9*c**2 + 7*c - 6. Let k be r(-8). Suppose -k*y = -3*y. Suppose y*m - 8 = -p + m, 17 = p + 2*m. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80 + 35 = -3*m + 78 for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -2525766 divided by -13802\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 2 - 1)*(-1 - 8 + 3)*(-b + 0*b + 3*b) in the form r + m*b and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 254 - 246 - (4 + -2) - (2 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) -0.4  (c) 4\/3  (d) 1198\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 5, -101, 0 in descending order.\nAnswer: 5, 0, -9, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1059*x**4 - 1438*x**2 + 154556*x + 4 wrt x?\nAnswer: 12708*x**2 - 2876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*i**3 + 279*i**2 - 1152*i + 1164.\nAnswer: 3*(i - 2)**2*(i + 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the first derivative of -x**4\/2 - 14*x**3\/15 + 8*x**2\/5 + 8*x\/5 - 5. Factor b(q).\nAnswer: -2*(q - 1)*(q + 2)*(5*q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the first derivative of -l**3\/3 + 6*l**2 - 7*l - 1. Calculate the remainder when a(6) is divided by (-1)\/(2 - (-93)\/(-45)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -19 + 8. Let u = -18 - f. Let b = u + 11. Solve b*d + 20 = l, -4*d + 2 + 2 = 5*l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5473, 11125, 16959, 22975, 29173?\nAnswer: 35553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -2*12\/8*(-99)\/(-27)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the first derivative of -1 + 1\/5*p**5 - p + 0*p**3 - p**2 + 1\/2*p**4. Determine t so that x(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -2*k + 8. Let h be d(8). Let w be (-24)\/h*(-2 - -3). Find o such that 8*o**2 - 6*o**2 + 6*o**2 - 8*o**w + 0*o**2 + 2*o**4 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -2*j**3 - 10754*j**2 + 118537*j - 5. What is w(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express ((5 - 4 - 4)*(8 + 3 - 3) - 2 - 3 + 4 + 5 - 3 - 3 + (0 - 1 + 2)*(2 + 1 - 2) - 3 + 0 + 5)*(-37*q - 19 + 74*q - 36*q) in the form k + x*q and give x.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -23 + 1253?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -80*h**3 - 23*h**2 - 6128?\nAnswer: -240*h**2 - 46*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -l + p + 37 - 32, l + p - 7 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-3) - (104\/1716 - (-647)\/33)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -269*c + 96*c - 16554 = 361*c for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let s = 311 + -289. What is the remainder when 129 is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*w - 2*h - 4, 4 + 4 = 2*w - h. Suppose 15*k = 13*k + w. Find the first derivative of -10 - 3*u - 10*u - k*u + u wrt u.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17953 divided by 6?\nAnswer: 17953\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 30076 and 876.\nAnswer: 90228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8908 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 47 + -42. Let h(r) = r**3 - 16*r**2 + 57*r - 6. Let x be h(c). Solve 4*j + 5*b + 29 = 0, 5*b + 22 = 7*j - x*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = 3*p - 140. Suppose 4*k + 0 = p. Calculate the highest common factor of 63 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 509 and -0.070371 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**2 - 1. Let s(o) = -13 + 8*o**2 + 16 - 9. Let m(b) = -s(b) + 6*x(b). Let i(l) = -10*l**2. What is i(m(p))?\nAnswer: -40*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 5\/6, -55, -2, -0.2, 0.55 in descending order.\nAnswer: 5\/6, 0.55, -0.2, -2, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 28872740 to the power of 1\/2, to the nearest integer?\nAnswer: 5373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 7*i**2 + i + 13. Is q(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -49 - -43. Let c be (-8)\/3 - ((-34)\/6 - s). Let y(d) be the first derivative of -2*d**2 + d - 2. What is y(c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of n**3 - 113528*n + 854772 wrt n.\nAnswer: 3*n**2 - 113528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19739273.\nAnswer: 73, 317, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4 and (-2 - -11)\/((-12)\/(-64)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x, 2 s, and 1 m when four letters picked without replacement from {m: 1, s: 2, x: 4, c: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/6 and -109\/2400.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + (-4 + 2 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes after 2:04 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -894*h*w*x**2 - 2946*h*w*x + 2*h*x**2 + 2*w**2*x**2 + w**2*x + 2*w**2 + 405*w*x - 195*x**2 wrt x.\nAnswer: -1788*h*w + 4*h + 4*w**2 - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4856 - -77753\/16. Calculate the common denominator of (-1)\/((-2)\/(-93)) - -2 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5255912*x**3 - 401593*x**2 - 2*x - 1.\nAnswer: 31535472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -2*o**2 + 20*o + 15. Determine q(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rnrppzrttp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 5, 2, 43, -2 in descending order.\nAnswer: 43, 5, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*n**6 + 9*n**5 + 16*n**4 + 2*n**2 + n + 5136 wrt n.\nAnswer: -360*n**3 + 540*n**2 + 384*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.18 and -275671.\nAnswer: -275670.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 54579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(2\/11)*z\/((z**(2\/13)\/z)\/z*z))**(-6) assuming z is positive.\nAnswer: z**(-1740\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -279 + 4897?\nAnswer: 4618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2311 - 270385\/117. Let c = x - -337\/819. Suppose 2*u - 5*q + 22 = 7, 2*u + 4*q - 30 = 0. What is the second smallest value in 3, u, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 25 - 24.9936. What is l rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = 4*b + 4, 0 = -5*b + 24 - 4. Let a be -3*1\/(4\/(-4)). What is the second derivative of -w**a + 6*w**3 - t*w - 8*w wrt w?\nAnswer: 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2 + -3 + 12\/2. Suppose h = 35 - b. Suppose -q + 15 = 3. What is the highest common factor of h and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6364 = 174*a - 2*a. Solve -a*z + 34*z - 6 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h - 3*h + 8 = 0, 7497*h = 5*c + 7496*h - 148 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 17867c (base 13) in base 9?\nAnswer: 1088178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44*u**3 - 2 - 10 - 126*u**3 + 13.\nAnswer: -170*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 383958697 < -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 85\/(-136) + 3\/(-8). Which is smaller: -9\/5 or q?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -289, -381, -87, 785, 2427?\n\"Answer: 32*y**3 + y**2 - 319*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2381873913 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*h + 0*h + h + (0 - 8 - 2)*(21*h + 272 - 272)*(2 - 2 + 1)*(-1 + 3 + 5).\nAnswer: -1469*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6)\/(-21) + (-837)\/63. Suppose -7*s - 8 = s. What is the second smallest value in d, s, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 3*t - 36 = -2*x, -5*x + 4*t - 44 = 0. Let s be 4\/x*(-15)\/1. Suppose -5*o + s*q = -350, 0 = 4*o - 2*o + 4*q - 110. List the prime factors of o.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -34 + 37. Let p(z) = -5*z**3 - 3*z**2 + 9*z - 3. Let v(o) = o**3 + o**2 - 2*o + 1. Let m(n) = -2*p(n) - 9*v(n). Give m(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1100020 - 211102222?\nAnswer: -210002202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 13*a**2 - 4*a + 4. Let n be t(-4). Suppose 20 = -7*s + 2*s, 4*o - 4*s = n. What is the remainder when o is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-4)\/2)\/2)\/(18\/90)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9146*u**3 + 14623*u**3 + 250243*u - 250243*u.\nAnswer: 23769*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10*(-4)\/(-6)*(-33)\/22.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the third derivative of s**7\/630 + s**6\/720 + s**5\/24 + s**4\/12 - 6*s**2. Let h(n) be the second derivative of c(n). Is h(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.21 - -9.79. Let h = 9.96 - q. Is h equal to 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 23580, 47235, 70970, 94785, 118680, 142655, 166710?\n\"Answer: 40*q**2 + 23535*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 412*a + 419*a = 1141*a - 10850 for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -53*n - 3295. Let a be r(-63). Calculate the greatest common divisor of 12 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 0  (b) 5  (c) -5\/4  (d) -2\/69  (e) 5679  (f) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*g + 30*g + 40 = 0. Suppose -3*o - 8 = -7*o. What is the second derivative of -u**4 + 7*u - 3*u - o*u**g wrt u?\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 0.4, -9, 5736?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -88 - 71.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 66 + -26. Let j = q + -36. Let r(w) = -w**2 + 6*w + 4. Let y be r(6). Solve i + 4 = j*z + 3*i, -y = -2*i for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/10 - 54\/60. Let p = 1 + -2. Suppose 32*y - 35*y + 12 = 0. Which is the closest to p?  (a) 0.5  (b) r  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(242) + 1*sqrt(242) + 5 + 5 + -4 + 1)**2*6.\nAnswer: 1848*sqrt(2) + 6107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -49, -52, -59, -70, -85, -104?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 267 = 29*h + 11 - 1455. Solve 5*v + 49 = a + h, 3*v - 9 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 3 l when four letters picked without replacement from {s: 5, l: 11}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 9*c - 770. Suppose 18*h - 7*h = c. Calculate the remainder when 37 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/3053570 and -73\/17264.\nAnswer: 24428560","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let z be 20\/(-6)*468\/(-130)*(-1)\/3. Let x(u) = 279*u**3. Let w(s) = 35*s**3. Give z*x(c) + 31*w(c).\nAnswer: -31*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 0*x - 5 - x)*(0*x + 0*x - 3*x) - 2*x**2 - x + x.\nAnswer: x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*o**2 - 6*o**2 + 12*o**3 + 15*o + 18*o**2.\nAnswer: 12*o**3 + 23*o**2 + 15*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -475*o = -238*o - 17301. What is the remainder when 2931 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l\/(l\/l**(-2\/5)))\/(l\/(l\/(l\/(l\/(l**(-6)*l)))))*l**0\/l**6 assuming l is positive.\nAnswer: l**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-3)\/(-6))\/(1\/2))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2013 - -2013) + (0 - 11) + -1 - (-5 - 48)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 781.6 - 782. What is the closest to 0 in 0.04, 0.2, f, 1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -50*j + 5*j - 41*j + 0 + 0 + j + (1 - 2 - 1)*(j + 3*j - 3*j) + (2*j + 6 - 8 - 12)*(-2 - 4 + 4).\nAnswer: -91*j + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*r**4\/7 + 417*r**3\/7 + 1212*r**2\/7 + 540*r\/7 = 0. Calculate r.\nAnswer: -2, -5\/9, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d + 0*d + d)*(-19 + 4 - 14).\nAnswer: -29*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 371*y**2 - 1027*y**2 + 340*y**2 + 342*y**2.\nAnswer: 26*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 2*l = 15. Suppose g - 4*n = 32, 0*n = -3*g - 4*n + 32. Solve 0 = -l*v + 5*b + g, 3*v - 18 = -2*v + 4*b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1565 smaller than 1564?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 7*b. Let t(m) = 3*m. Give t(r(q)).\nAnswer: 21*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2282489 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2039858143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z - 5. Let y(b) = 2*b + 14. Let x(i) = i**2 + 9*i + 4. Let q be x(-6). Let w(k) = q*u(k) - 5*y(k). Let m(a) = a**2 + 0*a + 0*a. Give m(w(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1491 and 8124885?\nAnswer: 56874195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 84 + -84.74. Let k = t + 0.44. Let h be (-1 - 0)\/(2 + -5). What is the third biggest value in h, 2\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2544\/1060*(-320)\/16.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3014  (b) 0.073  (c) 2  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 43 (base 14) in base 16?\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -46 + 52. Suppose -u - 63 - q = -y, -y = -2*u - 70. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 620000 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9565 and 210.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66*b = -69*b + 15. Suppose 2*f - 5*u = 9, f + u - 3 = 2*u. Sort f, 0, b in descending order.\nAnswer: b, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 38745 - 38722. Let o(u) be the first derivative of 2\/3*u**3 - f + 3*u**2 - u - 1\/4*u**4. Determine o(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -8, 2, 47, -5, 27021 in descending order.\nAnswer: 27021, 47, 4, 2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 25*t - 1606. Let o be q(65). Let u(l) = -949*l**3 + l**2 - 2*l - 2. Let m be u(-1). Calculate the greatest common divisor of m and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 2*v**2\/9 + 7150*v\/9 - 7636400\/3 = 0.\nAnswer: -5615, 2040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3, 2, 7, 12, 17, 22?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z = 4*g - 15 - 1, -g = -3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -54 less than or equal to -5\/84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.06  (b) 7  (c) 1  (d) 2\/9  (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (4\/(-5))\/((8\/10)\/(-4)). Suppose -d*i + 5*j - 9 = 0, -i + 7*j - 16 = 3*j. What is the remainder when 31 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/20 and -111\/178450?\nAnswer: 356900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1965*o**2 + 1000*o**2 + 966*o**2 - 311 - 6*o.\nAnswer: o**2 - 6*o - 311","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x**3 - 2*x**3 + 6*x**3)*(-4 + 5 + 2) + (-x**2 - 5*x**2 + 5*x**2)*(0*x - 3*x + x) + x**3 + 0*x**3 - 4*x**3.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the second derivative of -q**5\/20 + 7*q**4\/12 - 2*q**3\/3 + q**2 - q. Suppose 0 = -6*s - 6*s + 72. What is the units digit of h(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the second derivative of -4\/5*m**5 - 35*m - 14\/3*m**4 + 0 - 2*m**2 + 31\/6*m**3. Find y, given that j(y) = 0.\nAnswer: -4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 137851 is divided by 296.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 680 = 58*s - 306. Does 29 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2722 divided by 5\nAnswer: -2722\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k = -5*x + 15, -k - 3*x - 10 = -4*x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*x - 451 - 1089 = -39*x. Suppose 0 = -4*q + 4*p + 768, -5*q + p + 2*p + 968 = 0. Calculate the greatest common factor of q and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -29490, -58969, -88438, -117897?\n\"Answer: 5*x**2 - 29494*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2 + ((-32)\/(-12))\/2. Which is the smallest value?  (a) -2\/7  (b) -0.1  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 1771614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 minus 0.904895?\nAnswer: -19.904895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2, 59.47, -5, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15 + 1329*l**2 - 15 - 6*l**3 + 2*l**3.\nAnswer: -4*l**3 + 1329*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 - -13337?\nAnswer: 13344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15648 is divided by 5196?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*l + 1 - 1 + 2)*(6 - 33*l - 17 + 8) in the form w*l + x*l**2 + j and give w.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -453, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 2975\/102 + 3360\/(-504)\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(1\/4)*v)\/v**20)\/(v*v\/(v\/(v\/(v\/(v\/(v\/((v**(8\/9)*v)\/v))*v*v))))*v**(-18)) assuming v is positive.\nAnswer: v**(-167\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -63 divided by -294.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 168156 and 141168?\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -x**4\/3 + 187*x**3\/3 + 3235*x**2\/3 + 2669*x\/3 - 2030 = 0.\nAnswer: -15, -2, 1, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*m**3 - 24*m**2 + 327*m**3 + 24*m**2.\nAnswer: 321*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -16 - -92. Let i(o) = -77*o + 2 + a*o + 15. List the prime factors of i(-13).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**2 + 30*i. Let l be g(-30). Solve l = 3*m + d + 5, 5*m - 3*d = -2*d + 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 82.59539 centuries to decades.\nAnswer: 825.9539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 19194458 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 523, 1021, 1537, 2071?\n\"Answer: 9*t**2 + 471*t + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 14) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -5  (b) 1  (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15 + -2 + -55 + 42 + 52 + (-1 - 2).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do -217003480 and -217003474 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 476 and 336.\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 equal to -156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 144 divided by 879355.\nAnswer: 144\/879355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -3*sqrt(1539) + 1 + ((3*(sqrt(209)*-1 - sqrt(209)))\/(-2*sqrt(99)))**2.\nAnswer: -27*sqrt(19) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.8*-4.\nAnswer: -11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0519707 + 4?\nAnswer: 3.9480293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.001 - 211703.46732.\nAnswer: -211703.46632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-2*(65 + -4))\/(3101\/(-441) - -7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1100200 + 122212?\nAnswer: 2000112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h - 26 = -b, 0 = -4*b + 3*b + 5*h - 24 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7919 + -4079. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.2  (b) 4  (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-9*j + 3*j + 3*j)*(-2*j**2 + 4 - 4 + (3*j + 3*j - j)*(0 + 0 - 2*j)) to the form l*j**2 + f + u*j**3 + k*j and give u.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -11.3 times 1?\nAnswer: -11.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 6336332133 to the power of 1\/4, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**3\/3 - r**2\/3 - 244*r\/3 - 476\/3.\nAnswer: (r - 17)*(r + 2)*(r + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**3 + 8*d**2 + 5*d - 9. Let l be z(-7). Solve -3*x - l*v - 2 = 0, 5*x - 6 = 3*v - 2*v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4217 - -4217.00013652. What is u rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*a*w**3 + 75*a*w**2 + a*w + w**4 - 47 wrt w.\nAnswer: 12*a*w + 150*a + 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:14 AM and 10:11 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1a4 - -1dc8?\nAnswer: 207c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 739160076 to the power of 1\/2, to the nearest integer?\nAnswer: 27187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -1\/8, 2\/35, 33\/29, 0.2, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -68 + 127. Let d(w) = -w**2 - 7*w + 7. Calculate the remainder when z is divided by d(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2055733*d**2*m - 16*d*m + 101*d - 5*m + 8 wrt d?\nAnswer: -4111466*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*j + 26*j + 12 = 0. Let c(q) = q**3 + 8*q**2 - 2*q + 7. Let s be c(j). Suppose -5*k + s + 459 = 0. What is the highest common divisor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.68 - 0.08. Suppose 0 = q - 223 + 83. Let u = 1538\/11 - q. What is the second biggest value in h, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 38296 by -8.\nAnswer: -4787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 - 22 = p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 2 = 2*z, -3*w + 10 = 2*z - 8. Suppose -1 = -z*x + 8. Suppose -1 = -x*b + 11. What is the smallest common multiple of b and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*k - 4*k + 187*k**3 - 4*k - 69*k**3 + 1 + 3*k in the form m*k**2 + r + f*k**3 + u*k and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w + 2*w. Let o be (-2)\/(-1)*(w + 5). Solve o*k - 5*k = 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -164*c**3 - 21*c**2 + 12*c - 7. Let r(x) = -83*x**3 - 9*x**2 + 6*x - 3. What is -7*r(k) + 3*y(k)?\nAnswer: 89*k**3 - 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 105 = -5*r, 0*x + 5*r = x + 41. Let n = 47\/3 + x. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-480)\/18*15\/(-10). Let r(z) = -2*z**2 - 7*z - 3. Let s be r(-5). Let j be s\/(-1) - 6\/3. Calculate the highest common divisor of l and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:56 AM and 11:42 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 7, v: 5}. What is prob of picking 3 v?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -4130958.1 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-25)\/42 + (-1)\/(-6). Let r be ((-249)\/(-6) + 3)*-2. Let p = 1155\/13 + r. Which is smaller: p or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6\/(-4)*2\/3. Let q(p) = p**2 - 9*p + 2. Let m be q(9). Let l(c) = 4*c + 8*c + 2*c - 2*c**m + 2*c**3 - 2*c. Let d(i) = i. Calculate z*l(w) + 10*d(w).\nAnswer: -2*w**3 + 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 r when two letters picked without replacement from {n: 1, t: 2, r: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/(-9))\/((-7)\/3)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*k**2 + 6*k - 4*k**3 + 4*k**2 + 6*k**3 + 7*k + 2*k**3 to t*k + z*k**2 + f*k**3 + g and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (8\/(-5))\/(2\/(-5)). Suppose -2*y + 10 - z = 0. Let j be 0\/2 + 1\/1. Solve -y*b - j = 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -65\/22 bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -119664 divided by -3?\nAnswer: 39888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 3*y**2 - 21*y + 7. Let d(h) = -h**2 + 7*h - 2. Let x(u) = -11*d(u) - 4*p(u). Let m be x(6). Solve m = -2*n + 1 - 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -53368339, -106736679, -160105017, -213473353, -266841687, -320210019, -373578349?\n\"Answer: a**2 - 53368343*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of ((-131)\/3 - -1)*(-72)\/(-64)*-196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -32708237*x + 27027426?\nAnswer: -32708237","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 190812866.\nAnswer: 2, 29, 3289877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 20 = 4*u, 3*a + 6 = 5*u - 11. Let k(h) = -h + 0 - a - 5. Calculate k(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c = -4*r + 68, -5*r = -c - 26 + 13 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 4.416443 meters?\nAnswer: 4416.443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 63, 75.\nAnswer: -2, 63, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -4*i**3 + 23*i**2 + 166*i + 40 = 0.\nAnswer: -4, -1\/4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/2*(-45)\/(-30) + 2. Is n at least as big as -1\/364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 639127\/54 + -11834. What is the common denominator of 107\/42 and b?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5*8\/60 - 11\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -10  (b) 4  (c) 1  (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/5 in 4, 14, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 9 + b?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1117 is divided by 106.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14 - 8. Let g(d) = -d + 4. Let n be g(s). What is the units digit of 1 + (n - (1 + -7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*b + 0*b + b - 2*b + 12*b + 2.\nAnswer: 9*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the second derivative of -5*h**4\/4 - 5*h**2 - 17*h. Find the first derivative of t(j) wrt j.\nAnswer: -30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 8 = -5*f. Suppose f*c + 24 = -2*q, 0 = -3*q + 2*c + 3*c - 4. What is the least common multiple of 3 and (-4)\/q*(-2)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 173 smaller than 170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(120)*-1)\/(sqrt(360) + 1*sqrt(360) + sqrt(360) + sqrt(360)))**2.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 - (-5)\/10*2. Let a = 2550 - 2541. Sort a, 2, y in increasing order.\nAnswer: y, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(-3) - (-1)\/3. Let y(f) = -f**3 + f**2 + f + 5. Let x be y(d). Suppose -x*b + b + 20 = 0. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (88 - (10 - -75))*2\/(1 - 31).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 405 divided by -6\nAnswer: -135\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 62 + -1 + (-51 - 5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 minutes before 11:26 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/172 and 49\/12.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**3 - 3*a**2 - 2*a - 1. Let q be r(-3). Let l be (-37)\/(-2) + 33\/(-22). Let u be l\/4 - q\/20. Solve -u = -2*j + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 855 and 23295.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -i - 3*x - 0*x, -4*x = -2*i. Let n be (1 + (-14)\/10)\/(60\/200). Put i, n, 0.2 in decreasing order.\nAnswer: 0.2, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 PM and 8:29 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 12\/20 + (-47988)\/(-20). What is f rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 15*d**4*f*h - 146*d**4*f - 9*d**4*h - 1124*d**2*f*h - 43*d**2*h - d*f - 1 wrt d.\nAnswer: 360*d*f*h - 3504*d*f - 216*d*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*a*j - 39*a + 82*j - 3 wrt a.\nAnswer: 3*j - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -5*r - 16. Let g be l(-4). Differentiate -56 - 3*x**4 + 2710*x**3 - 80*x**g - 2710*x**3 wrt x.\nAnswer: -332*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the third derivative of -q**5\/60 + 7*q**4\/24 + q**3\/6 + q**2. Is 11 a factor of z(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 99 a factor of 680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s + 100 = -2*s. Suppose 5*b - 4*g - s = 0, 4*g - 18 - 2 = -4*b. Let o(v) = -v**2 + 6*v - 3. Determine o(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16379*o**4 + 622404*o**3 - 65440*o**2 - 2489616*o - 304 = 0. Calculate o.\nAnswer: -38, -2, -2\/16379, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 0  (b) -3  (c) -10247  (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the second derivative of -s**4\/18 + 16*s**2\/3 - 2072*s. Factor m(w).\nAnswer: -2*(w - 4)*(w + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -119 - -214. Let d = 0.6947 + 94.2063. Let g = d - s. What is g rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 9 = -p, 14 = -82*p + 84*p + 2*h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -320*t**2. Let j(n) = 497445*n + 2. Determine j(m(i)).\nAnswer: -159182400*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40500 divided by -12.\nAnswer: -3375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3960 - 3196. Which is smaller: q or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*h - 4*v + 16 = -4*h, 5*h + v - 5 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9641024 is divided by 39351?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 - 45. Let l be (-20)\/(-6) - (-15)\/j. Find the second derivative of -4*u + u**l + 6*u**3 - 3*u + 0*u wrt u.\nAnswer: 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -146*c**2 + 3*c + 29 wrt c.\nAnswer: -292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 13048*m**2 + 498041 with respect to m.\nAnswer: 26096*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 + -80)*38\/95. Let u(s) = -3*s**3 - 52*s**2 - 41*s - 41. Is u(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tdmmmmnkddbt. What is prob of sequence kd?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 22483405 by 4496681.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 94 - 98. Is 38 a factor of 5 + z - -231 - -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1\/3)\/(8\/120). Suppose o - 37 = -8*i. Suppose 7*v - 2931 = i*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/3*(-6)\/3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -712.80563 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 938833 is divided by 93?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 10300100102 (base 4) in base 15?\nAnswer: 1993bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (3 + -8 - -11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is seven sixths of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/35 and -129\/154?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 73758798.\nAnswer: 2, 3, 19, 11351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c + 69*x = 72*x + 9, 0 = 4*c - 2*x - 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2\/9)*m*m**(-5))\/(m*((m*m**(2\/3)*m)\/m)\/m)**(21\/5) assuming m is positive.\nAnswer: m**(-101\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 3*c + 533, 5*q - 25 = -0. Let p = 192 + c. What is the remainder when 110 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 10*z**4 - 5*z**3 + 5*z**2 - 5*z - 3. Let b(t) = -9*t**4 + 4*t**3 - 4*t**2 + 4*t + 3. Let r(q) = -5*b(q) - 4*c(q). Differentiate r(d) wrt d.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the second derivative of 1\/6*b**3 + 1\/2*b**2 + 1\/12*b**4 + 0 + 6*b. Let l(p) = 2*p**3 + 2*p**2 + 2*p + 1. Calculate l(v) - 2*m(v).\nAnswer: 2*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (3 - (5 - (1 - 0)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 24 in 3, 0.5, -0.4, 0.01?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(88) - (sqrt(22)*1*-5 - sqrt(22) - sqrt(22)))\/(sqrt(12)\/((sqrt(6) - 1*sqrt(6)*-4) + sqrt(6) + sqrt(6))) + -2.\nAnswer: -2 + 63*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w - w + 21. Suppose 0 = 3*p - w*p + 932. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3 - (-2 + 4) - -1. Let b be (i\/6)\/(1\/12). Suppose -1765 = -q - b*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1025731, -2, -55 in descending order.\nAnswer: -2, -55, -1025731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s - v = 11679 - 11683, 2*s + 2 = 2*v for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35885*v + 1 + 99418*v - 13659*v - 8147*v.\nAnswer: 113497*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 145, 1, -15, 2\/11, 0, 8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 8109855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -2*h**2 - 4*h**3 + 2*h**3 + 0*h**2. Let j = -36 - -34. What is the smallest common multiple of t(j) and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k = -8*o - 43, o + 2*k + 10 + 17 = 16 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88*p + 1200 = 32*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 291*u**2. Let h(l) = 409016*l**2. Determine h(n(d)).\nAnswer: 34635883896*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 335450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 76 - -16. Let g(q) = -q**3 + 39*q**2 - 76*q + 106. What is the remainder when y is divided by g(37)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*s - 10 - 10. Find the first derivative of -2905*x**2 + 2905*x**s + 245*x**3 + 241 wrt x.\nAnswer: 735*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 + -2. Suppose -4*f = -4, -4*c + m*c = f - 15. Let j(u) = 8*u**2 - 17*u**2 + c*u**2. Let d(b) = 2*b. What is d(j(q))?\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 111.513 times 24?\nAnswer: 2676.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 66268?\nAnswer: 2, 16567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 874*x**5 - 5*x**3 - 2033*x**2?\nAnswer: 52440*x**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes before 6:26 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 208 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1278104 or 1278098?\nAnswer: 1278098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 3*o = -23, -4*b + 2*b + o = -11. Suppose -11 = -2*x - b. Suppose 0 = -4*n - 0*d + d + 419, x*n - 315 = d. Does 26 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3023432?\nAnswer: 2, 19, 19891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 12) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(1\/4)*h**(1\/2)*h)\/((h*(h**(-4)*h)\/h)\/h**(-10)) assuming h is positive.\nAnswer: h**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 + -355?\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 19 - 16. Let n be 5*(16\/(-10) - -2). Let l be (6\/(-4))\/(n\/(-4)). Calculate the highest common factor of p and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 53?  (a) -1\/17079  (b) -4  (c) -0.55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -25584*z**2 + 902*z. Let o(g) = 85*g**2 - 3*g. Let d(t) = -1804*o(t) - 6*s(t). Let w(i) = -2*i**2. Calculate w(d(j)).\nAnswer: -53792*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -16\/9 + 155\/72. Sort 0.8, n, -4, 1\/2 in decreasing order.\nAnswer: 0.8, 1\/2, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5.6 times 3\nAnswer: 16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (4996\/(-10))\/(60\/(-600))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 205828290 and 270.\nAnswer: 205828290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 113 a factor of 3051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes after 4:10 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3373751742 to the power of 1\/4, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 + 10 - 10*d + 23.\nAnswer: -10*d + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -652775279*f**5 - 409458303*f wrt f?\nAnswer: -13055505580*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 4\/3 of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 381848628?\nAnswer: 2, 3, 7, 17, 267401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-396)\/(-4851))\/(5\/(-70)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 5, l: 2, r: 6}. What is prob of sequence ala?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 5*a**2 + 34*a**3 + 26*a**3 - 61*a**3 - 4*a = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -21220, -42394, -63532, -84634, -105700, -126730?\nAnswer: -147724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 633937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8902478155.\nAnswer: 5, 1780495631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*h**2 + 2*h**2 + h**3 + (2819865 - 2819865 - 1200*h)*(h**2 - 2*h**2 + 0*h**2) + 5*h**3 + h**3 - 4*h**3.\nAnswer: 1203*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = 4*r + w, r - 2 - 16 = -4*w. Solve r*k + 0*k = 50 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (96\/88)\/(4\/44). Let j(c) = -25*c - 2. Let l be j(-3). Suppose -13*i + p*i = -l. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 9 + -403 + 346.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -148*c = -487*c + 166*c + 140*c + 2112 for c.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 120*g + 20*g**2 + 13*g + 95*g - 1 - 92*g.\nAnswer: 20*g**2 + 136*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 - (19 + 57) - -41.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the second derivative of 2*u**6\/3 + u**4 - 11*u. What is the third derivative of j(s) wrt s?\nAnswer: 480*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/3)\/(20\/(-165))*4\/(-22).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/13*(-208 - -206)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 8\/5, -4, 1\/6, -2\/7 in decreasing order.\nAnswer: 8\/5, 1\/6, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -70*g**2 - 70*g**2 + 271*g**2 - 68*g**2 - 64*g**2. Let k(j) = -263*j. Calculate k(m(h)).\nAnswer: 263*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 2234 (base 7) to base 13\nAnswer: 4a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 5*b**3 - 4*b**2 + 5*b - 4. Let j(o) = -14*o**3 + 11*o**2 - 14*o + 11. Suppose -25 = 4*d - 3*x, -5*d + 3*d + 7 = 5*x. Give d*j(k) - 11*v(k).\nAnswer: k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 13383031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 6*k. Suppose k*p = 5*p + w - 17, -3*w - 29 = -5*p. Let d = p - 7. What is the closest to 2 in d, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(-4)*6 + -68. Let j = 98 + x. Let u = -25 + j. Solve -u*d = -2*t - 1 + 3, 3*t + 1 = d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.272997 grams to milligrams.\nAnswer: 3272.997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2669809 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 (base 6) in base 2?\nAnswer: 1000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ptxmpxd. What is prob of sequence mp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 30565822279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(1\/4))**(-45)*d**(-3)\/d**6*d**(-8)*d*d\/d**(-3\/8)*d\/(((d**0\/d)\/d*d)\/d)*d**5 assuming d is positive.\nAnswer: d**(-143\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/803439 and -11\/34461?\nAnswer: 439481133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -6082*d + 967032. What is w(159)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**(-2)\/k)\/k)\/k)**(-29\/5)*k**(2\/13)\/k**12 assuming k is positive.\nAnswer: k**(223\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9 by -515485.\nAnswer: -9\/515485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -3*k - 26. Let d be (2\/4)\/(4\/(-32)). Let b = d - k. Solve t + 5 = b*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/14?  (a) 5  (b) 1077  (c) 1  (d) -0.035\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61179 = v + 2*j, v + 19*j - 20*j - 61164 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4, -494 in ascending order.\nAnswer: -494, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 18 = 5*g - g, 3*g - 4*h = -4. Let t be (-3 + 7)*(-2)\/g. Solve t*b = -0*b - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/2 - (3 - -2 - 10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 57833338 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2726\/29 - (-1155)\/(-21)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -0.05, -2\/11, 5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(36) + sqrt(36)*1)\/sqrt(2) - (2 + sqrt(4)\/sqrt(2) + sqrt(2) - -4*-3*sqrt(2)))**2.\nAnswer: -64*sqrt(2) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -0.4, -60 in decreasing order.\nAnswer: 4, -0.4, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes after 3:20 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8440 - 5403. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 120*r**3 - 556*r**2 - 1008*r + 144 = 0.\nAnswer: -3\/2, 2\/15, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 494\/7 + -1480\/21. Which is the biggest value?  (a) -0.5  (b) p  (c) -2  (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5.3 + -4.8. Let v = 2 - 1. What is the nearest to v in w, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 3*f = -0*f + 44, -n + f = 20. Let z be (-6)\/(-27) - n\/9. Find the second derivative of 3*d - 3*d**5 + z*d**5 - 4*d wrt d.\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -60*a - 866. Calculate d(-9).\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.90102804 rounded to 3 dps?\nAnswer: -1.901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.009671178 rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the first derivative of -2*o**3\/3 - 7*o**2\/2 + 6*o - 2. Let y be t(-7). Let p = -28 - y. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zu when two letters picked without replacement from {n: 3, j: 2, z: 3, u: 1, l: 10}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = w + 3. Let c = 2\/351 + 337\/2457. What is the third smallest value in w, c, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**3 + 12*b**2 - 3*b + 23. Is c(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the third derivative of 3\/8*k**4 + 0 - 3*k**2 - 7\/120*k**6 + 0*k + 0*k**3 + 0*k**5. Find the second derivative of r(g) wrt g.\nAnswer: -42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.4 + 3.4. Let l = -7 + x. Which is the third smallest value?  (a) 0  (b) l  (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18\/20*(-24)\/(-18) + (-5)\/(300\/132).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the second derivative of d**3\/6 - 17*d. Let c(v) = -2 - 2*v - v + 1. Let i(r) = -r**3 + 4*r**2 + 5. Let j be i(4). Calculate j*n(p) + 2*c(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 11020 less than -0.345?\nAnswer: -11020.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 13542\/14653 or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -70.1 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 17079 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and 0.036.\nAnswer: 0.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4.4 - -4.3. Let v = 138\/5 - 28. What is the third biggest value in v, g, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**(-27)*j*j**(-21))**(38\/5))**(2\/21) assuming j is positive.\nAnswer: j**(-3496\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -275, -377, -541, -761, -1031, -1345, -1697, -2081?\nAnswer: -2491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z - 0*z + 406. List the prime factors of z.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 139 = -61*c + 749 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.17277307 and -1.3.\nAnswer: 0.224604991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -25 + 20. Sort g, 2, -0.2, -3 in decreasing order.\nAnswer: 2, -0.2, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1018649, 4074614, 9167893, 16298486, 25466393, 36671614, 49914149?\n\"Answer: 1018657*u**2 - 6*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6332.77010382 - 3.\nAnswer: -6335.77010382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -57 + -33. Let a = -7 - -5. List the prime factors of -2 - (a - o\/(-3)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-15)\/12 - (-1 - 5\/(-10))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 19*j + 5. Let p be (-8)\/(-3 + 7)*-4. Let i be k(p). Suppose 0 = 7*n - 347 - i. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*o**3 - 29748*o**2 + 55323840*o - 55294096.\nAnswer: 4*(o - 3718)**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -373*k**3 - 422*k**3 - 117*k**3 + 145*k**3.\nAnswer: -767*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 7*v - 5 = -2*d, 0 = d + v - 5. Let o = -58 - -53.9. Let a = 4.1 + o. What is the closest to 3\/4 in a, -0.1, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 959866 and 3302.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-1)\/(-4)*4)\/(8\/792). Suppose -n*j - 16 = -107*j. Solve -j*x + z = 3*x + 20, 4*x + 16 = -z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 72, 5, 1, 66.5 in decreasing order.\nAnswer: 72, 66.5, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -79*64\/(-4777920)*45.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -215 or -20001?\nAnswer: -215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -5891.792 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10 - -4. Let d be 2 - 2\/(16\/c). Factor d*w**5 + 1\/4*w**2 - 1\/4*w**4 + 0 - 1\/4*w**3 + 0*w.\nAnswer: w**2*(w - 1)**2*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -46 + 48. Suppose 5*g = 3*m - 548, 3*m + y*g + 2*g = 593. Calculate the remainder when m is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 210 = 3*s - 0*s. Let m = 72 - 70. Suppose 0 = -m*x - 10 + 30. What is the highest common divisor of s and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12*(972\/(-120))\/27 + (4 - 3).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -43.3 - 4.7. Let g = k + 44. What is the closest to 1 in g, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 4449*c. Let j(u) = -6*u**2. What is s(j(i))?\nAnswer: -26694*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = k + 15. Let x = -14 - k. Solve g - 22 = 4*w, 11 = 5*g + x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -6729*i - 5031*i + 14263*i + 17223*i as m + x*i and give x.\nAnswer: 19726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -26852076, -53704154, -80556232, -107408310, -134260388, -161112466?\nAnswer: -187964544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -43 - -2400?\nAnswer: 2324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3637713, -3637718, -3637727, -3637740, -3637757?\nAnswer: -3637778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5446824612281 - -0.3.\nAnswer: 5446824612281.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 + -992.7876?\nAnswer: -1007.7876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6071.\nAnswer: 13, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 85016045.\nAnswer: 5, 17003209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 150 + -60. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -340880731 divided by 10151\nAnswer: -33581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**4 + 9*s**3 - 41*s**2 - 40*s + 29. Let d(n) = -2*n**3 + 8*n**2 + 8*n - 6. Let o(w) = 22*d(w) + 4*i(w). Find x such that o(x) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21\/(-6) + ((-14)\/(-4) - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 - 21 + 9 - 4*c.\nAnswer: -4*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 640 divided by 640.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1 + 1)\/((-3)\/6). What is the second smallest value in t, -3, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -96 - 208*m + 2*m**4 - 592*m**2 - 380*m + 140*m**3 + 686 + 448*m**3 = 0.\nAnswer: -295, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -6, -0.01, 5, -5, -4\/9, 2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -1. Let j = -9 + 7. Let i(z) = -z + 2. Let s(b) = j*a(b) - i(b). Let x(h) = 4*h**2. Determine x(s(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/4 less than -50642?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from kkaeeaaekak?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -2*b - 12. Let y be i(-9). Suppose -12*a + 14880 = -y*a. Suppose 4*s - a = -15920. Round s to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3 - 0) + 6 + -2. Suppose -2*w + n*w - 135 = 0. Let t = w + -18. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -372*b + 130*b - 145*b + 266*b**2 - 268*b**2.\nAnswer: -2*b**2 - 387*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -6*x**2 - 8*x**2 - x**2 + 12*x**2. Let s(o) = -19*o**2. Determine s(p(b)).\nAnswer: -171*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 62 - (-43 + 18 - -54).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 79573.\nAnswer: 13, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -34 + -50?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -80\/11, -3\/4, 1\/4 in ascending order.\nAnswer: -80\/11, -3\/4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 322 and 202?\nAnswer: 32522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + z + 23 = -4*z, 5*u - 25 = 5*z. Suppose 0 = u*o + 5*v - 26, -o - 5*v + 2*v = -13. Solve 2*m - 5 + o = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-2\/7)*c)**(-1\/2))**(-7)*(c**(-1))**21\/(c**(2\/3)\/c)**(-38) assuming c is positive.\nAnswer: c**(-187\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-33*v + 24*v + 41*v)*(1 - 3 + 3)*((v - 3 + 3)*(-4 + 3 + 2) + v + v - v).\nAnswer: 64*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -45.9 + -36.9. Let y = 83 + w. Which is the second smallest value?  (a) -0.4  (b) -1\/18  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -339098*v**3 - 7*v**2 + 18904379*v wrt v.\nAnswer: -2034588*v - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yhhh when four letters picked without replacement from bbkukhhbubhyycyc?\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (13\/91*1)\/(((-300)\/(-42))\/(-5))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -473 + 461 + (-4 + 8 - -117) + -13 + 0\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-4\/7))**40\/(t**(-12)\/(t**(-4)\/t)) assuming t is positive.\nAnswer: t**(-111\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 182*p + 230 - 1925 = 295*p for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1564 + 1564 + 7*s**2)*(-43 + 44 + 5*s + 0*s) to m*s**2 + b*s**3 + t + d*s and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5 and 630.\nAnswer: 3150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.3  (b) 1.3  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jzjz when four letters picked without replacement from jzjzzzj.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 140 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*y - 5 - y**2 + 5 - 5*y.\nAnswer: -y**2 - 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t + 17 = 2*j, 3*j = -5*t - 37 - 23 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 489047165.\nAnswer: 5, 31, 53, 59, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence to when two letters picked without replacement from {l: 9, v: 2, t: 1, o: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 909014038 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1941)\/(-38820) - ((-35)\/10)\/((-230)\/(-11))?\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and -1224.95.\nAnswer: 489.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 2*o)*(0 - o + 0)*(0*o**2 + o**3 + 0*o**2)*(3 + 4 - 3).\nAnswer: 8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y + 68 - 128. Let u(n) = 3*n**3 - 3*n**3 + n**3 - 13*n**2 - 10*n - 2. Is u(y) 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 {x: 1, n: 11}. Give prob of sequence nxn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((12\/7)\/(-4))\/((-15)\/(-10))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m - 2. Suppose -7*r = -93 + 58. Suppose r*z - 1 = -0*n + 2*n, 4*n + z + 13 = 0. Give a(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20146 (base 7) to base 11\nAnswer: 3741","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Which is the closest to -0.14?  (a) 1  (b) -9.4  (c) 1\/11  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqjj when four letters picked without replacement from {q: 12, j: 7}?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1161 = -4*d + 3*f, -d - 2*f = -f - 285. Calculate the greatest common divisor of 18 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/15*10)\/((-14)\/(-1)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -20.56 + 1.56. Which is the third smallest value?  (a) -2  (b) 5\/2  (c) p  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4448.8 * -0.4.\nAnswer: 1779.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19431.4723 - 19433. What is v rounded to 2 dps?\nAnswer: -1.53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n**4 + n**4 + 2*n**4)*(-16 + 22*n + 16).\nAnswer: 44*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2847 by -5.\nAnswer: 2847\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1527 is divided by 376?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24b2995 (base 13) to base 12.\nAnswer: 3a07446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-5)\/(-15)*0\/(0 + 1). Let q(t) be the second derivative of 1\/5*t**5 + 0 + 0*t**2 + 1\/6*t**4 + z*t**3 - 6*t. What is the third derivative of q(h) wrt h?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**2 + 59352*o + 26610525.\nAnswer: 3*(o + 459)*(o + 19325)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 212696657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 95.00618 kilograms in nanograms?\nAnswer: 95006180000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**2 + 8*t + 4. Let o(w) = -5*w - 46. Let l be o(-10). Calculate j(l).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2048023 or 22528254\/11?\nAnswer: 2048023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:57 PM and 7:49 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 1031*t**2 - 27695*t - 3828. What is m(27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 97327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d - 2*c + 182, -5 = 3*c + 7. What is the remainder when d is divided by (-8)\/28 + (-216)\/(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m, 1 s, and 1 q when three letters picked without replacement from qmmqesq?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*c - 2 + 0 + 4)*(-31*c - 7*c + 18*c).\nAnswer: 80*c**2 - 40*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the second derivative of -z**5\/60 - 2*z**3\/3 - 7*z**2 + 5*z - 5. Let p(x) be the second derivative of m(x). Let t(l) = -26*l - 1. Calculate t(p(f)).\nAnswer: 52*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mecgkgggccgcgkk. What is prob of picking 1 k, 1 c, 1 g, and 1 e?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-2)\/(-7))\/((-385)\/(-1617)). Sort o, -1\/2, -1, -28, 1\/9 in decreasing order.\nAnswer: o, 1\/9, -1\/2, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 5*r - 60. Let o = r - -16. List the prime factors of o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19*m**2 - 35*m**3 + 21*m**2 - 4*m**2 to the form b + y*m**2 + r*m**3 + l*m and give r.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 749159, 1498277, 2247393, 2996507, 3745619, 4494729?\n\"Answer: -c**2 + 749121*c + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/192132 and 101\/7206136?\nAnswer: 583697016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3 + 21\/6)*0. Suppose r - 2 + 0 = y. What is the first derivative of 38 - t**2 + 6*t**r - 28 - 2*t**2 wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 7) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -9 in 0.7, -0.1, 18\/23, -4, -4\/793?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8.41856 * 104.\nAnswer: 875.53024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * 493.\nAnswer: 1479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/(-8) + (-126)\/(-24). Let m = 3 + n. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1466 (base 13) to base 12\nAnswer: 1865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*m = -6*m + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1081354 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1393 divided by -199\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 276 >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w + 5*v + 4 + 8, 5*w = 5*v + 90. Suppose 35 = 5*k - 4*r, -4*k = 5*r - 0 + w. Solve 2*d + k - 7 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 230326 to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) 1\/3  (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 14 + -9. Solve -15 = 5*i - 3*d + 14, -c*i - 14 = 2*d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 4*y = -6, 149 = -4*v + 6*y + 105 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 676*k - 512*k + 55010 - 55011 + 822*k + 1355*k + 956*k.\nAnswer: 3297*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yh when two letters picked without replacement from yhh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes before 1:28 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -30*l**2 + 67*l**2 - 32*l**2 - l**3 + 1. Suppose 0 = 5*p - 25 - 0. Let y be m(p). Calculate the greatest common factor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.55 times 75?\nAnswer: -191.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4361165ng to tonnes.\nAnswer: 0.0000000000000004361165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-666)\/(-37) - 282\/15?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12, -11, -64, -159, -308, -523, -816, -1199?\nAnswer: -1684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 732 = 2*h - 3*g, 3*g + 0*g = -h + 357. Let b(j) = 6*j - 3. Let a be b(6). Calculate the greatest common divisor of h and a.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6804477 divided by 6?\nAnswer: 2268159\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:23 AM and 12:41 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 26\/35 + -3\/5. Let z = -21.9 + -78.1. Let i = z + 99. Sort i, 3\/2, 1\/3, j in decreasing order.\nAnswer: 3\/2, 1\/3, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5829602402?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 - -11 - -4 - (-3 + 6 + 26).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*q + 3*j + 49, 5*q + 73*j - 68*j - 65 = 0. Solve 0 = -5*u - q*v + 12*v + 8, -2*v - 6 = -3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 1818 = -2*n, -5*a + 2256 = -5*n - 4. Let t be 3*-1*a\/5. Let i = t - -7811\/30. What is the common denominator of i and 54\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -18026\/3*n**2 - 1352\/3 - 98\/3*n**4 - 3224*n - 868*n**3.\nAnswer: -2*(n + 13)**2*(7*n + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + -1 + 1 + 6 + 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1404491668 a multiple of 548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 96066 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -34*d + 2800 - 2324 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**2 - 16*q + 67. What is b(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*v**2 - 58*v**2 + 3*v**2 - 6*v**2 + 189*v**2.\nAnswer: 123*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -398*q = -428*q. Let h(b) be the second derivative of -1\/3*b**4 + 0 + q*b**3 + 7*b + 0*b**2. Let l(w) = w**2. Calculate l(h(r)).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 13508.973 months in years?\nAnswer: 1125.74775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, -3.6, -0.283, 2\/7?\nAnswer: -0.283","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 47*f*j**2*t - 97*f*j - 776*f + 29*j**5 + 102*j**2*t**2 - t**2 wrt j.\nAnswer: 94*f*t + 580*j**3 + 204*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 35689304*c**4 - 56520122 wrt c?\nAnswer: 142757216*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes before 4:28 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i - 15. Let y be u(-11). Let t be y - (-7)\/1 - -1. Solve 12 - 32*m - 2*m**5 - 8*m**t - 38*m**3 - 20 - 50*m**2 - 6*m**4 = 0 for m.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z + 0*z - 3*z)*(4*z + 4*z + 2*z).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 184048 to the power of 1\/2, to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 251 greater than or equal to 194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14442080 to the nearest integer?\nAnswer: 3800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 28 and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 5*n - 6. Suppose 115 = n*j - 113. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = x - 10, 3*d + 5*x = 1425. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -73 take away -3529242453?\nAnswer: 3529242380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 5, 2, -3\/5, 13\/710201?\nAnswer: 13\/710201","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**3 - 3*l**2 + 20*l + 15. Suppose 5*s + 35 = -b, -2*s + 2*b - 1 - 1 = 0. Let g be p(s). Solve 0 = 4*d - 2*w - 2, g + 0 = 3*w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10 - 4. Let j = 208934\/91 + -2296. Let q = -192\/455 - j. Which is the second smallest value?  (a) i  (b) -2  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 w when two letters picked without replacement from {e: 4, w: 6}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 36550, -600, -1 in increasing order.\nAnswer: -600, -1, 36550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18337, -18181, -18025, -17869?\nAnswer: -17713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, h: 1, c: 1, y: 1, u: 1, q: 1}. Give prob of picking 1 u and 1 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -68, 4, -5, -4 in descending order.\nAnswer: 4, -4, -5, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 563, 1127, 1693, 2261, 2831?\nAnswer: 3403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -1066281 less than -1066280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(-4)*(-1 - 1). Let f = -1 + i. Let l be (0 - f)*(-2 - -1). Solve -5*z = -k, l*z = 2*z + k for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 70*m - 68*m - 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (17\/102)\/(1\/(-3))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**2 - 5*x + 9. Let n be i(-6). Find the second derivative of 3901 - 3901 + 14*z**5 - 2*z**n - 106*z wrt z.\nAnswer: 280*z**3 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 240420573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**2 + 13*y - 68. Let g be j(-17). Is g less than or equal to 2\/859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 699935 to the power of 1\/2, to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 62780 and 35040?\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 38485902 and 735?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -77, -298, -675, -1214, -1921, -2802, -3863?\nAnswer: -5110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 25*v - 17*v - 128. Suppose 0 = -4*s + v + 4. Let b(k) = k**2 - 10*k + 3. Let f(j) = -j**2 + 9*j - 3. Let l(c) = 3*b(c) + 4*f(c). Determine l(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 3*j - 962 = 0, -18*h = -19*h - j + 962. What are the prime factors of h?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21 (base 16) to base 5\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -4*f**4\/11 - 585*f**3\/11 + 1779*f**2\/11 - 1787*f\/11 + 597\/11 = 0?\nAnswer: -597\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(1*(sqrt(5) - ((sqrt(50)*-1)\/sqrt(10) + sqrt(5)) - sqrt(30)\/(sqrt(6) - 2*sqrt(6))) - (sqrt(720)*-2 - (-3*sqrt(45))\/sqrt(9))))**2 + 2.\nAnswer: 10582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1252, -2503, -3752, -4999?\n\"Answer: k**2 - 1254*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(0 + (1*sqrt(3)*2 - (-1 + sqrt(3))*-6)**2)*5 + -3.\nAnswer: -5703 + 2400*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 172 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -7*v. Let o(m) = -13*m - 1. Give -6*o(p) + 11*r(p).\nAnswer: p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 2*v**3 - 5*v**2 - v**2 - 6 - 3*v**3 + 0*v**2 + 4*v. What is the remainder when q(-7) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 24 - 12. Suppose 2*f = -f. Suppose -18*q + 26 = -46. Solve q*p + z = -f*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*o - n, 0 = -0*o + 5*o + 2*n - 7. Let p be o*(-50)\/45*6. What is the remainder when (114\/(-5))\/(6\/p) - 3 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6 - -6.4. Let j = 152.1 - 152. Which is the second biggest value?  (a) r  (b) -0.5  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 480922 - 1887879?\nAnswer: -1406957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -100 - 112310?\nAnswer: -113010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/19, 2, 7, -0.01, 1 in descending order.\nAnswer: 7, 2, 1, 2\/19, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 30848335 to the power of 1\/2, to the nearest integer?\nAnswer: 5554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7870*g**3 + 4155*g**3 - 2 + 2769*g**3 + 2895*g**3.\nAnswer: 17689*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 815793 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in eleven quarters of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -6*-5*(sqrt(5) + sqrt(45))*1.\nAnswer: 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the first derivative of -9*h**2\/2 + 82*h + 11. What is the least common multiple of 15 and s(8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -22*c**2\/7 + 2587294*c\/7 - 4166152.\nAnswer: -2*(c - 117593)*(11*c - 124)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 + 13)\/(-1*5 - 247\/(-38)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9962 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve w**3\/3 - 10*w**2\/3 + 11*w - 12 = 0 for w.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 74\/26 - (-20)\/130. Suppose -k*n - g + 16 = 0, n + n - 9 = g. Is 3\/n + (-414)\/(-10) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -38\/23, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -120*z**2 + 2*z - 1. Let a(f) = 275*f**2 - 4*f + 2. Give -2*a(d) - 5*s(d).\nAnswer: 50*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 3*y**2 + 20*y - 151. Give x(10).\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 69\/16 and 9\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/1296399079 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 1\/646, 4\/7, 19?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -29, 0.3, 7, -10, -187 in descending order.\nAnswer: 7, 0.3, -10, -29, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**2 - t - 5. Let p(u) = u**2 - u + 1. What is -p(q) - w(q)?\nAnswer: -2*q**2 + 2*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * -130.\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 37*h**2 - 17*h + 4350.\nAnswer: 74*h - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 3*a**2 - 3*a + 19. Suppose -u = -3*u + 74. What is the remainder when z(6) is divided by u?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101000 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 708715, 707544, 706373, 705202, 704031?\nAnswer: 702860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**2\/12 + 835*c\/3 - 1669\/3.\nAnswer: -(c - 3338)*(c - 2)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7210629?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s**2\/4 + 1227123*s\/2 - 501943619043\/4 = 0. What is s?\nAnswer: 409041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.291461 rounded to 3 dps?\nAnswer: -0.291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 196 and 37436.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwzjwwjnzwwszzzzszd. What is prob of sequence zsw?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 116 + -75. Suppose -2*h + 44 = -5*d - r, -d - 201 = -5*h. Calculate the greatest common divisor of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**2 - 3*g. Let c(d) = 25*d**2 + 10*d - 42. Let n(y) = -c(y) - 2*p(y). Differentiate n(m) wrt m.\nAnswer: -46*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h + 4*d + 32 = 0, 16*d - 34 = -583*h + 585*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/9, 0.47, 28?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -r**3 - 59 + 59 + 37*r**3 - 2*r**3.\nAnswer: 34*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(sqrt(720) + (sqrt(720)*-6 - sqrt(720))))\/(sqrt(900)*-6*1 + sqrt(900)))**2.\nAnswer: 2304\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/(-6) + (-2510)\/(-30). Let f = b + -122. Let k = -41 - f. Which is smaller: k or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**3 - 18*w**2 + 11*w - 29. Is u(18) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.3 - 0.3. Let b = 0.1 - w. Let g = 92 + -462\/5. Which is greater: g or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6270 (base 16) to base 3.\nAnswer: -1021120100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 2*x - 40. Let s(q) = 47*q**2. Give s(y(p)).\nAnswer: 188*p**2 - 7520*p + 75200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11, -90, -301, -710, -1383?\nAnswer: -2386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**3 - 4*f**2 - 11*f + 46. Let h be c(7). What is the highest common factor of h and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 39 and 591825.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -5642 (base 12) to base 11\nAnswer: -71a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/25 of a century?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2263*q = 2261*q - v - 7, 5*v = -2*q - 27 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-3929)\/216*(-6)\/18 + -6 and -3\/16.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) - (sqrt(56)\/sqrt(200) - sqrt(7)))**2 - (sqrt(700) - ((sqrt(700) + -1 + sqrt(700) - sqrt(700))**2 - sqrt(700))).\nAnswer: -40*sqrt(7) + 18092\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -6*2 - -1*2. Let w be (-1)\/(-2)*(2 - r). Calculate the lowest common multiple of 6 and 4\/6 - (-50)\/w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 3*sqrt(55)\/sqrt(5) + 2 + sqrt(11) + -3 + sqrt(22)\/sqrt(2))**2.\nAnswer: -30*sqrt(11) + 284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3576 + 3581. Which is the nearest to 16?  (a) g  (b) -0.14  (c) 2\/11  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 125580311251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 245\/531 - (-192)\/(-432). Is 0 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 113\/11399928 and -79\/340.\nAnswer: 56999640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18289?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_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 s = -3 - -4. Let t be -2*(-1)\/2 + (-7)\/(-182)*26. Which is the nearest to 1?  (a) -0.1  (b) s  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -656 + -6912.\nAnswer: -7568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:54 PM and 6:36 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 367*l - 179*l - 2 + 2 - 186*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -8*z**2 - 414*z + 1780. Give m(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2319.81 - 2319.80400058. Let m = g + -0.006. What is m rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m - 9. Give d(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -0.4, 21, 2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -6 + 68?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27107*s - i + 27 = 27114*s, 7*s - 39 = -3*i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 439293508.\nAnswer: 2, 29, 127, 29819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 15 = -v, -2 = -6*v + 11*v + 21*h. Solve -2*x = v - 21 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*j**2 + 1369*j - 585*j + 0*j**2 - 13*j + 2*j**2 + 4 - 4 + j**2 + j**2 - 3*j**2 + (2 + 1 - 4)*(j**2 + j**2 - 4*j**2) + j**2 + 2*j**2 - j**2.\nAnswer: j**2 + 771*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 76 - 70. Suppose o*j = -798 + 198. Let r = j + 278. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*s - 3*j - 17 + 2, 0 = -2*s - j + 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = 4*c - 22, -2*c = 2*j - 2 - 10. Calculate the common denominator of c\/20 - (-1)\/(1530\/(-1617)) and 43\/66.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-four fifths of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -608 - -618. Which is the closest to 0?  (a) -2  (b) x  (c) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d and 1 h when three letters picked without replacement from {s: 3, a: 1, r: 1, d: 7, h: 2}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add 5 and 968093373.\nAnswer: 968093378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 15\/18*(72\/15)\/3. Let r(x) be the second derivative of -p*x**2 + 1\/120*x**5 + 7\/72*x**4 + 2\/9*x**3 - 13*x + 0. Factor r(s).\nAnswer: (s - 1)*(s + 4)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1434 + 0 - 0) + (-816 - -807). What is the highest common factor of s and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -37.50231523+1087.9\nAnswer: 1050.39768477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1200\/45 - (-4)\/3 - -1. Solve -d + 3*p = -11, 0 = d - 2*d - 5*p - r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -6*k + 2. Let i be (-1 - -2)\/(-6 + 5). Does 8 divide l(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 2 f when three letters picked without replacement from fsfsrsrfsyfsisfs?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**9\/((f**3\/f)\/f))**36 assuming f is positive.\nAnswer: f**288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g**4 - 2*g**4 + g**5)*(-3 + 1 + 0) - 5*g**5 - 2*g**5 + 38*g**4 - 36*g**4.\nAnswer: -9*g**5 + 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(125)*2 + (sqrt(200)\/sqrt(4))\/sqrt(10) + -2)*-3)**2 + 4.\nAnswer: -396*sqrt(5) + 5485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 27220 to the power of 1\/2, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1119, -8799, -18717, -28635, -38553?\nAnswer: -48471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -2*s**3 + 5*s**2 + 13*s - 32*s - 3*s**2 + 18*s. Let v(l) = 2*l**3 - 3*l**2 + 2*l. What is -6*o(u) - 4*v(u)?\nAnswer: 4*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -12, -27, -42?\n\"Answer: -15*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3 and -0.441036.\nAnswer: -1.323108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -2*x**2 - 20*x + 69. Determine c(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -21 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 549 - 544. Solve -2*k = 4*n - 13 - d, 4*n + 5*k = 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 73561, 294244, 662049, 1176976, 1839025, 2648196?\nAnswer: 3604489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a kilogram in grams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (-1)\/((-2)\/10)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -2243 times 0.02\nAnswer: -44.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -2*v**2 + 45999*v + 276070. Calculate h(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -399, 32, -1\/11 in increasing order.\nAnswer: -399, -1\/11, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3545, 4881, 7107, 10223, 14229?\nAnswer: 19125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6736, 16890, 44462, 98164, 186708, 318806, 503170, 748512?\nAnswer: 1063544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1402522 and 4070?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*z + 59 + 82 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -12*d + 75. Determine z(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 10*l**2 + 6*l. Let x(f) = -662 + 501*f + 662 - 500*f. Give i(q) - 6*x(q).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*z**4 - 59*z**3 + 3*z - 4?\nAnswer: -24*z**2 - 354*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0, 167, -4, -1 in descending order.\nAnswer: 167, 5, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 60871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -425\/6 + 71. Let u be 3 - (3 - (-3 - -6)). Let r = -4 + u. Which is greater: p or r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1845261842?\nAnswer: 2, 922630921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16 and (-11 - -12)\/((-2)\/(-28)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 70141*j**3 - 3*j**2 + 70276*j**3 + 0 to the form m*j**2 + z*j + g + p*j**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*n + n + 0*n)*(-4 + 6 - 3)*(-297 + 42*n + 297) in the form c + l*n**2 + v*n and give l.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (18\/(-96))\/((-139)\/278)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 14*a - 1. Give m(5).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 292*k - 30. Let x be h(7). Let l = -32235\/16 + x. What is the common denominator of l and 123\/110?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the second derivative of -2*o - 1\/48*o**4 - 1\/6*o**3 + 0*o**2 - 3. Factor w(k).\nAnswer: -k*(k + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*a**5\/4 + 1197*a**4\/2 - 48771*a**3\/4 + 126255*a**2\/2 - 51534*a = 0. Calculate a.\nAnswer: -818, 0, 1, 7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqddddqddyqyqqq. What is prob of sequence yq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -69\/8 and -61\/2102418.\nAnswer: 8409672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 22*h**2 - 34*h + 103. Is z(-59) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 5*k**2 - 1. Let w(a) = -14*a. Calculate l(w(s)).\nAnswer: 980*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.03 in 5, -4, -4\/5, -62?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29083317.\nAnswer: 3, 29, 353, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 1058160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 301330\/81 + -3720. Find the common denominator of q and -8\/27.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 780569313.\nAnswer: 3, 809, 321619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 7*p**3 + 8*p**2 - 6*p. Let u = 3 + -3. Let c(j) be the first derivative of u*j - 2 - 1\/4*j**4 - 1\/3*j**3 + 1\/2*j**2. What is 6*c(t) + y(t)?\nAnswer: t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -136497412, -136497409, -136497406, -136497403, -136497400?\nAnswer: -136497397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*w + 8*w = -3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -48\/3257 + 4029149\/16285. Let k = r + -2069\/10. Let o = 1019\/620 + 7\/124. What is the common denominator of o and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:26 PM and 9:02 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*f + 5315 = 5*q + 7*f, 2*f = -3*q + 3167. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14 + 24. Let l = -11 + q. What is the nearest to l in 4, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 6 = 4*a. Let p be 6*((-1)\/a - (-2 + 2)). Solve -5*r = -4*r + p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 180*g + 67. Let f be d(-13). Let y = f + 3214. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -109 = -4*w + 3*w. Let h = w - 552\/5. Let f be (4\/10)\/((-13)\/(455\/14)). Is h greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 20  (b) 3  (c) 2  (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-300)\/(-392)*(6 + 208\/(-40)). Do b and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3684192 is divided by 643?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 50*q + 9409 - 106959. What are the prime factors of q?\nAnswer: 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (1 - -1)*-6 + 32 and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3917.8, -5, -3 in decreasing order.\nAnswer: -3, -5, -3917.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 215\/(-7) - 10\/35. Let r = -61\/2 - c. Factor 0 - r*p**2 + 1\/2*p.\nAnswer: -p*(p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1671 + 3*x**3 - 2*x**2 - 1671.\nAnswer: 3*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -25*t - 17. Let b be k(-1). Let d = 18 - 12. Is (d + -10)*(-502)\/b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -58, -228, -510, -904, -1410, -2028?\n\"Answer: -56*h**2 - 2*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*d**2 + 13*d - 13*d)*(3*d**2 + 0*d**2 - d**2 + (-2*d + d + 2*d)*(0*d + 2*d - 3*d) + (4*d - 3*d + 4*d)*(-2*d - d + 5*d)).\nAnswer: -44*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cf when two letters picked without replacement from {d: 1, f: 2, c: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -0.5, 0.8, 664877, -0.1 in increasing order.\nAnswer: -0.5, -0.1, 0.8, 1, 664877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 168469002 is divided by 4259?\nAnswer: 4257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the second derivative of -s**5\/20 + s**4\/6 + 4*s**3\/3 - 7*s**2\/2 - 74*s. Determine j(5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -498.62 + -4.38. Let i = g - -502.9. Which is the third smallest value?  (a) -5  (b) i  (c) 10  (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 43595.88l?\nAnswer: 43595880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z - 8*z**3 - 6*z**2 - z**2 + 50 + 9*z**3 - 50. Determine h(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -1  (b) -2\/125  (c) -10\/11  (d) 50\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3.982 + -0.042. Let n = -0.06 - f. What is the nearest to -1 in 0, n, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 6092826 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 9, d: 10}. Give prob of picking 1 z and 3 d.\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 462*z + 54 = -21*w + 463*z, w - 5*z - 42 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -2256 + 218 - 35829*i - 2*i**4 + 35827*i in the form y*i**4 + d*i**3 + z*i**2 + t + a*i and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -3075, -5463, -7847, -10227, -12603, -14975?\n\"Answer: 2*k**2 - 2394*k - 683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 19367 - 19367. Let q = -47\/180 - -3\/20. Let b = 16.1 + -16. What is the closest to b in c, q, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/158?  (a) -2  (b) -8\/15  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.39 < 32.219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 53955267.24 rounded to the nearest 10000?\nAnswer: 53960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the first derivative of -y**2\/2 - y + 4. Let o be m(-6). Solve u - o*q + 4 = 0, 2*u = -2*u + 5*q - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 0*g - 17 = 0. Let v be g\/(0 + -4 + 3). Let b = v - 375\/22. Which is smaller: b or 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22d9 (base 14) to base 11\nAnswer: 461a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -27269379 + (-5)\/5*-3. Let o = 31830624 - q. Suppose 4*h - 78800000 = -0*j - 2*j, 3*h = 4*j + o. Round h to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + i + 50 = 0, -z - 3*i = 4*z - 60. Let q = -74 + 131. Calculate the remainder when q is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 1 g when three letters picked without replacement from {g: 8, u: 2, d: 2, m: 1}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 25\/3 + 1\/3*i**2 - 10\/3*i.\nAnswer: (i - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 872 = 2*d + 636, 3*d - z + 2246 = 0. Let a = -746 - d. Solve -8*f + a = -12*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19 + 19 - 9*s + (-s + 2*s + 0*s)*(4 - 1 - 4))*(s**3 - 5*s**3 + 3*s**3).\nAnswer: 10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 2*o - 340 = -4*x, -316 = -2*x - 4*o. Suppose -4*q = -x - 90. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -634, 4, -13, -2, -4 in increasing order.\nAnswer: -634, -13, -4, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 18 - 74 = 0. Let h be (-1)\/4 + 7395\/(-324). Let x = s + h. Which is greater: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*g = 4*g. Let l be (-3)\/9 - 151\/(-3). Suppose g*q = q - l. Is q a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 r when two letters picked without replacement from mzmrzmrccrrrrmzd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pgg when three letters picked without replacement from {y: 1, p: 1, t: 1, g: 5, r: 1}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 * 3751.\nAnswer: 375.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-10)\/(-4)*3\/((-3)\/2). Let g(i) = -14*i - 56. What is the remainder when 43 is divided by g(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14*z - 3*z**2 + 1 + 12*z + 4*z + z**2 + 22*z**3 to the form j*z + l*z**3 + n + o*z**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 88009968 to the nearest integer?\nAnswer: 9381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2, 79, 228, 457, 778, 1203, 1744, 2413?\nAnswer: 3222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5737631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p = 5*r - 4, -3*r + 13 = 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -155*s**2 + 20. Let y(a) = 22*a**2 - 3. What is 3*w(z) + 20*y(z)?\nAnswer: -25*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 16 - 2 - 10 - 49*x. Let o be l(-4). Suppose -o = -4*t - 5*i, 0 = -4*t + 3*i - 40 + 208. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -93727, -93728, -93729, -93730, -93731?\nAnswer: -93732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**2 + 9*h + 16. Let z be u(-7). Solve 3*c - z = 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84905121 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -41 + 26. Let i be 1\/5 - 27\/b. Suppose 0 = 3*o - 5*m - 35, i*o + 5 = o + 5*m. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 2*t - 11. Let q be p(7). Suppose -q*d + 31 = -3*m + 82, -49 = -2*m + 5*d. What is the greatest common divisor of 132 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1725 + -1753 + (-1 - -51) + -4?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2)*r**2*r)\/(r*r**(-2\/19)*r*r**(2\/3)) assuming r is positive.\nAnswer: r**(-89\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.621 and 2.\nAnswer: 2.621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 173, -131, -423, -703, -971, -1227?\n\"Answer: 6*y**2 - 322*y + 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1275 and 15725.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from aaanaaaaaaaa?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8137\/51 - 718547\/357. Let p = u - -2167. Find the common denominator of p and 151\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2113247179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -72.9 + 73. Which is smaller: -0.028 or c?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a - 4 = -z - 5, -a - 2*z - 8 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 - 27 = -3*p. Suppose p = -2*d + 39. What is the units digit of 26\/169 - (-1038)\/d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -29.902 - -31.902. Which is smaller: m or -423\/10?\nAnswer: -423\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 298*l**4 + 3*l - 34. Let j(t) = 34 - 578*t**4 + 1074*t**4 - 795*t**4 - 2*t. Let a(k) = -3*j(k) - 2*w(k). What is the derivative of a(g) wrt g?\nAnswer: 1204*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 197*l + 15478. Let s(z) = z**2. What is u(s(v))?\nAnswer: 197*v**2 + 15478","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - 5. Let v be ((5 + -3)\/6)\/((-2)\/(-54)). Let u = m + v. Solve 2*j + 3*d = -25, -j + 3*d = u*j + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-58)\/(-15) - (-11)\/(-55) - 4. Let f = 70 + -73. What is the nearest to -2 in 2, o, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5140*y**2 + 930345*y + 905.\nAnswer: 5*(y + 181)*(1028*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1208 divided by 4\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/44044 and 45\/2002.\nAnswer: 44044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*n + 2*n - n**5 + (3*n**2 - 2*n**2 - 4*n**2)*(0 + 0 + n**3).\nAnswer: -4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 - 15?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*s**2 + 4*s**2 + 2*s**2)*((2 - 4 + 4)*(0 + 0 + 2) + 1 - 2 + 2 + 0 + 0 + 1 + 1 + 5 - 2) in the form r*s + b + l*s**2 and give l.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -563 - -2074. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 12, j: 5, l: 2}. What is prob of sequence xjll?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1 - 1) + -3 + 6. Let h be 136*(4\/8 - r - -2). What is h rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -102*f + 2417. Give p(20).\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -0.09, -1, 3, -1\/5, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9 + 14. Suppose -5*w + 23 = 4*y, w - 2*y + 1 = -0*w. Let h = 4977 + -4973. Solve h*s = -w - f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c - 0 + 3, 4*h = 5*c + 69. Suppose 0 = 2*l - 6*l + h. Solve 5*s = -2*v - 10 - 7, -2*v = -l*s - 28 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*h = 37*h - 7. Suppose h*s - 2 = 19. Solve s*o = 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/5*8\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 2*c = -5541 - 331, 0 = n + 3*c - 1475. Let j = -1465 + n. Let f(x) = -2*x + 3. Let u be f(-6). Solve -u - 5 = j*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 3, d: 7}. Give prob of sequence rdrd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 5*y - 1. Let s be 14 + (-1 - -2 - 5). Solve y*w + 0*g = g + 1, -3*g - s = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -186 + 197. Suppose j*m - 775 = 1403. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 266475 and 275.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**2 + 33081*m + 99234.\nAnswer: (m + 3)*(m + 33078)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**4\/x*x)\/(x*x**(-2\/43)))\/((x*x\/(x\/x**(-2\/7)*x*x))\/(((x**(-4\/5)*x)\/x)\/x*x)) assuming x is positive.\nAnswer: x**(5316\/1505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*b = 6*b - 88 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1418584?\nAnswer: 2, 177323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 88 = 3*i - 5*s + 18, -4*s = -3*i + 71. What is the remainder when i is divided by (-207)\/621 - (19\/(-3) + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 2*t - 1. Suppose 50 = -6*p + 14. Let r = t + p. Put 4, r, -3 in descending order.\nAnswer: 4, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -8*q. Let k be y(-3). Let h = k - 16. What is the remainder when 30 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (x**3 + x**3 - x**3)*(x - 2*x + 0*x) + 0*x**4 + x**4 + x**4 + (x**4 + 0*x**4 - 2*x**4)*(-30 - 31 + 54) as d + k*x**4 + u*x**2 + v*x**3 + b*x and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 303 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -6*w**2. Let b be (-5)\/(-25) + (-21)\/(-45). Let f(g) be the first derivative of 2 + 0*g + 0*g**2 + b*g**3. Calculate k(f(s)).\nAnswer: -24*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -38*v + 27. Let x be j(1). Let c(h) = -3*h + 13. Let d(m) = m - 4. Determine x*d(u) - 4*c(u).\nAnswer: u - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2144.77 + -2154. Let a = m + 0.23. Let n = -6 - a. Sort n, -0.03, 1\/2 in descending order.\nAnswer: n, 1\/2, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i**4 + 0 + 0 + (-6*i**4 + 2*i**4 + i**4)*(-3 - 2 + 6) - 2*i**4 - 5*i**4 + 4*i**4 - 3*i + i**4 + 3*i)*(i - 2 + 2).\nAnswer: -4*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 540200 to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10396 and 1130?\nAnswer: 51980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 5*o**2 - 4*o - 9. Let d be i(-3). Is (2*d - 1) + 0 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from {a: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 690, 2769, 6234, 11085, 17322, 24945, 33954?\nAnswer: 44349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 + -3012?\nAnswer: -3006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the first derivative of p**5\/15 - 17*p**4\/3 + 160*p**3 - 1152*p**2 - 18432*p - 957. Let y(i) = 0. What is i?\nAnswer: -4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**2 + 50*i + 633. What is m(58)?\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8580\/10657 - -4496172401\/191826. Let f = v - 23448. Calculate the common denominator of f and 1\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 10153 - -3?\nAnswer: 10156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5\/4 of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15519*m**2 + 7*m**3 - 15519*m**2.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -31775105 divided by 6355021\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3455962, -6911884, -10367806, -13823728, -17279650?\nAnswer: -20735572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 4 = f - 3*r, -2*r + 4 = 0. Let p = f - 0. Suppose -j + 3 + p = 5*m, -5*m = 5*j. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 205*z = 3820929 - 3810679 for z.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/((2\/(-13))\/(4\/208*-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*h + 14 - 22 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/40 of a meter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5*1\/15*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (320\/1200)\/((-4)\/6)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes after 1:47 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 t and 1 o when four letters picked without replacement from {w: 2, t: 4, o: 7, f: 1}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (5 - (6 + -4)) - (38 + -13)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 8*l. Suppose -58 = -5*k - 2*n, -5*n - 42 = -5*k - 3*n. Suppose -k*i + 16 = -2*i. What is x(i)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 428 = -3*z, -19*r + 430 = -24*r - 5*z. Which is greater: r or -944\/11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/82 in -88, 1.4, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 5*l**3 - 2*l**2 + 3*l. Suppose y = 1 - 4. Let i be -1 + (-9)\/(y + 0). What are the prime factors of f(i)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -22, -63, -212, -523, -1050, -1847?\nAnswer: -2968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -41 or 4413674?\nAnswer: 4413674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -9 + 0 + -4 + 3. Let i = -8 - r. Suppose -2*b = -i*a - 100002, -b + 3*b - 99995 = -5*a. Round b to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 310 - -68. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*s - 12 = -14*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 26\/5 of a centimeter?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100100 + -11?\nAnswer: 100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 23099 + -4151. Suppose -c - 8002 = -35*v. List the prime factors of v.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 17\/4 in 3, 2\/3, 1\/66, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/44 and -149\/990.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 977977*t**2 - 2001*t**3 - 977977*t**2.\nAnswer: -2001*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -108161328 divided by -67056.\nAnswer: 1613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 - -3.7. Let w = -0.063 - -25.063. Let x = w - 24. What is the third smallest value in r, 5, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -28 + -11. Let m = -1212.8 + 1209.8. What is the second biggest value in s, -2\/9, -0.2, m?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence px when two letters picked without replacement from spdoxbooosoxboopbopp.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2882, 5756, 8606, 11420, 14186?\nAnswer: 16892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 80.9322 weeks?\nAnswer: 48947794560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -51838*z**4 - 25569.\nAnswer: -207352*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 - 21\/18 - -3. Sort i, 2\/9, 1.\nAnswer: 2\/9, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 6982, 8556, 10130, 11704, 13278, 14852?\n\"Answer: 1574*i + 5408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 15327 bigger than -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 5*i + 4 + 8 = 0, -3*i = -2*k + 20. Solve -6 = -k*r + 5*b, -3*r - 2*b + 16 = -0*b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 233*z - 10309 + 2953 = 6978 - 2218 for z.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -130 + 133. Let d(n) = 73 - 44 - b*n - 32. Suppose -5*a - 5 = -5*k, -4*a - 3*k - 2 = -26. Determine d(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t\/t**(-1)*t)**(-11\/4)\/(t**7\/t*t**(-4\/3)) assuming t is positive.\nAnswer: t**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 80.8 + -43.5. Let f = -26 + -11. Let u = f + z. Which is the closest to -2\/9?  (a) 0  (b) u  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 7, k: 1, m: 6, r: 3}. Give prob of sequence errr.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67382206.\nAnswer: 2, 33691103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + 12\/3*(17 + -16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 2*v**3 - 2*v + 45. Let k be n(0). Let g be (6 + (-306)\/k)\/((-6)\/15). Solve -3*l = -g*i, 0 = 5*l - l + 3*i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 311717 is divided by 419?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 280.1 + -280.5. What is the fourth biggest value in 9, h, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * -0.07032\nAnswer: 0.021096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 3*a**2 + 11*a - 5. What is q(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 7847a - 1133?\nAnswer: 77347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the second derivative of -9 - 6*h - 67\/6*h**3 + 0*h**2. Let s(f) = -2*f**2. What is c(s(r))?\nAnswer: 134*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = -15*q + 213. Solve 12*m + q = -0*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaab when four letters picked without replacement from kaaaakbbaaaaa?\nAnswer: 42\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*a + 5875*a - 251825 = -2425 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 73423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes before 4:31 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 3*a**2. Let u(r) = 3*r**2 - 2. Let o(w) = -27*w**2 + 8*w + 12. Let x(i) = -o(i) - 6*u(i). Calculate n(x(k)).\nAnswer: 243*k**4 - 432*k**3 + 192*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 61*p**2 - 10*p - 103. What is the thousands digit of t(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2513 + 2876. Calculate the remainder when q is divided by 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p\/(((p\/(p\/(p*p*p**(-6)*p)))\/p)\/p)))**(-5)\/(p*p**21*p*p**17\/p*p*p))**(-20\/9) assuming p is positive.\nAnswer: p**(320\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 2 = -w, 374*w - 370*w = -5*v - 12. Let g(p) = -p**3 + 15*p**2 - 13*p - 14. Let a be g(14). What is k in -1\/5*k**w + 7\/5*k + a = 0?\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: In base 5, what is -4 - -13114032?\nAnswer: 13114023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 38189715701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve n**5\/5 - 719*n**4\/5 - 1441*n**3\/5 - 721*n**2\/5 = 0.\nAnswer: -1, 0, 721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 4*m + 3*x + 3, 5*m = -2*x + 26. Suppose 0 = 108*i - 61*i - 47. Put -5, i, m in decreasing order.\nAnswer: m, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 7*b. Let x(a) be the second derivative of -a**6\/360 + 2*a**4\/3 - 8*a. Let n(s) be the third derivative of x(s). Determine l(n(m)).\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0 + -2*(-1)\/(-6)*-6. Suppose -3*m = -2*y - y, g*y + 2 = m. Sort 5, 3, y.\nAnswer: y, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -99626463 and -1199714?\nAnswer: 98426749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -4, 47, 0, -3, 803 in descending order.\nAnswer: 803, 47, 0, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 12886 + -40716?\nAnswer: -27830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from hrjmrmrhr.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 2 + 18 = -3*o, 2*o + 12 = -4*g. Let h = -5 + 37\/7. Let u = -24 + 23. What is the closest to u in 5, h, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (469\/1340)\/((-56)\/(-32))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ffx when three letters picked without replacement from {l: 4, x: 2, q: 2, n: 2, f: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -349*y**2. Suppose -78 + 27 = -3*a. Let h(w) = 2*w + 17 - a. What is h(r(z))?\nAnswer: -698*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 6207916681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00009893 to six dps.\nAnswer: 0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 13044 (base 5) to base 4\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21 - 23 + 32)*(-3 + 1 + 3 + 3*v**2).\nAnswer: 90*v**2 + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a - 13 = -4*o, -2*o + 16 = 4*a + o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1109 (base 11) in base 4?\nAnswer: -112311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 61 - 41. Let c(d) = d**3 + 3*d**2 - 3*d - 3. What is the remainder when z is divided by c(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(-1 + sqrt(1053)) - (0 + sqrt(1053))**2*-1) + (sqrt(1053) - -3*(-1 + sqrt(1053)))**2 + 1 + -4.\nAnswer: -171*sqrt(13) + 17902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1160*u**3 - 190*u**2 + 2*u.\nAnswer: -6960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/16 and 59\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*t + 5*t + 0*t)*(-1 + 1 - 2*t + (1 + 0 - 2)*(58*t - 35 + 35)) in the form u*t**2 + a + r*t and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 4 = s, -14 = 2*s + 5*l - 82. Suppose 48 = 4*b - 4*f, s + 10 = 4*b + 3*f. Suppose -2*c - 4*z - 6 = -2*z, b = -2*z. Solve w = c*w + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 - 41?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -2443*n. Let p(z) = 8*z**2 - 6*z - 6. Let m(h) = 19*h**2 - 15*h - 15. Let w(x) = -2*m(x) + 5*p(x). Calculate j(w(b)).\nAnswer: -4886*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the first derivative of -t**3\/3 + 5*t**2 + 3*t - 2. Let n be g(7). Is n - (0\/(-1) + 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**3 - j**2 + 4*j - 76. Let s be z(-6). Solve 12*c = s - 32 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 2*b**3 + b**2 + b + 1. Let x be s(-2). Let r(j) = -8*j + 1. Let c(g) = -19*g + 3. Let h(p) = -6*c(p) + 15*r(p). What is the units digit of h(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.5  (b) 10  (c) -1\/456\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(-1\/3)*k\/(((k*k**4)\/k)\/k))**13 assuming k is positive.\nAnswer: k**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -456*q - 218*q + 53 + 21515 = 0 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mi when two letters picked without replacement from xmimyxx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 246*z - 242*z - 20 = 5*d, -13*d + z = 52 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 8*q**2 - 7*q. Let t(j) be the first derivative of j**3\/3 - j**2\/2 + 6. Let l be 7\/1*24\/28. Give l*t(x) - d(x).\nAnswer: -2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m - 5. Let h be v(5). Let t = -10 + 11. Let w = t - h. Put 3, -1, w in descending order.\nAnswer: 3, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 514 + -506. Calculate the least common multiple of n and 17.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3.039 - -0.561. Which is the nearest to g?  (a) -0.1  (b) -0.2  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -726, -968, -1214, -1464, -1718?\nAnswer: -1976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -34 + 49. Let k be 4\/(-6) - (-16300)\/d. Is (-2)\/9 + k\/27 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from ktkttkhpptktktthtakk.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*w + 17136 = -17*w. What is the third derivative of 3*a**3 - w*a**2 + 1860*a**2 + 33*a**3 wrt a?\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -62 - -168. What are the prime factors of c?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 57057591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 169.8 rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 29446969 * -0.4.\nAnswer: -11778787.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -314 + 41 = -80*s + 687 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -z**4 + 99*z**3 - 1938*z**2 + 6596*z - 6216 = 0.\nAnswer: 2, 21, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*d**2 + 6*d**2 - 29*d**2.\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (-35 - (23 + (-19 - -7) + -23))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 156 - 3*w - 156 + 0*w. Let h(v) = -v**2 + 6*v. Let l(u) = -4*h(u) - 7*z(u). What is the units digit of l(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 7*t - 2*t - 4*t. Let y(l) = 7*l - 2*l + 3*l. What is y(d(c))?\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1486360 and 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 122992 is divided by 317.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 64\/13 - 1154\/39. Calculate the common denominator of -23\/3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.04 in 64, -2\/5, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 638 - f + 76 - 521 + 2111.\nAnswer: -f + 2304","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**5\/15 - 184*q**4\/15 - 374*q**3\/15 - 188*q**2\/15.\nAnswer: 2*q**2*(q - 94)*(q + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52735990?\nAnswer: 2, 5, 97, 54367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -6*l + 1. Determine r(7).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the first derivative of j**5\/2 + 145*j**4\/8 - 1505*j**3\/2 + 35035*j**2\/4 - 42875*j - 6977. Factor i(b).\nAnswer: 5*(b - 7)**3*(b + 50)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 9\/(-18) - 7\/(-2). Solve -x = -f*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((1*sqrt(209)*-1)\/(sqrt(176)*2 + sqrt(176)))**2.\nAnswer: -95\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -163 - -230. Suppose 5*y - l - 72 = p, -2*l = 2*y - 58. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 106 and 4766979.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j**2 - 7942*j + 5292 = 0. What is j?\nAnswer: 2\/3, 1323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 40, -286, 1, 4 in descending order.\nAnswer: 40, 4, 1, -286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -556*r - 22802. Calculate q(-41).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 171 is divided by 46?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.8 - -10.2. Let x = 8 - h. Let q = x + 2.8. Sort 0, 4\/7, q in descending order.\nAnswer: 4\/7, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 402 = 678. Suppose -8*h = h - b. What is the least common multiple of 3 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 17.26 * 16.\nAnswer: 276.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 4, n: 1, s: 3}. What is prob of sequence tnt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -205.7 + 206. Sort -4, k, 2\/7 in ascending order.\nAnswer: -4, 2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 84 - f - 84.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the second derivative of -5*q**6\/3 + q**3\/6 + 6*q**2 - 157*q. Find the second derivative of o(k) wrt k.\nAnswer: -600*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1141 from -18262.6.\nAnswer: -17121.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and -286.132862.\nAnswer: -1144.531448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*i = 16*i + 20. Put 5, -2, 19, i in descending order.\nAnswer: 19, 5, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-2)\/1)\/((-88)\/1716). What is the first derivative of 7 - 15 - 39 - r*m**2 wrt m?\nAnswer: -78*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4709.9 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14450891, 14450804, 14450705, 14450588, 14450447, 14450276, 14450069, 14449820?\nAnswer: 14449523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 1 + 3 = 0. Let z be 0 - 2\/2*l. Suppose b + 0 = -z*s - 1, -3 = -2*s + 3*b. Solve -o - 3*p - 12 = 2*o, 3*o + 4*p + 12 = s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((39*o + 20*o + 7*o)*(4*o - 3*o + 0*o) - 6*o**2 + o**2 + 2*o**2)*(-24 - 11 - 11)*(5 + 0 - 3) to q + t*o + j*o**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b - 4 = 3*i, -47*i = 161*b - 162*b - 99 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3293027 millennia to years.\nAnswer: 329.3027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -22*r**3 - 6*r**2 + 6*r + 6. Let c = -6636 + 6625. Let g(t) = -44*t**3 - 11*t**2 + 11*t + 11. Determine c*a(m) + 6*g(m).\nAnswer: -22*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 816511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:32 AM and 2:48 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 0 = 9. Suppose -5*f + 3*z = -1 - 2, 0 = 5*f - 2*z - 2. Let s = 1 - -1. Sort a, f, s in increasing order.\nAnswer: f, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 205.6949 decades to millennia.\nAnswer: 2.056949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 2\/1287?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 3*j**2. Let b(f) = -5*f**2. Let a(p) = 4*b(p) + 3*l(p). Let c(y) = -3*y**2. Calculate c(a(n)).\nAnswer: -363*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 755.296kg in nanograms?\nAnswer: 755296000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -6\/19  (b) -405  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2, -70, -3, -6 in descending order.\nAnswer: -1, -2, -3, -6, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -38a1 + -126?\nAnswer: -39c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(9\/5628)*3. Suppose 8*v - d - 2212 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t. Let x(q) = -5. Let w(f) = 5*l(f) - x(f). What is the units digit of w(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the second derivative of -61*p**3\/6 - 3*p**2\/2 + 10*p. Is i(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 19*w**3 - 2*w**2 - w. Suppose -k + 3*b + 5 = 0, k - 9 = -0*b + 5*b. What is t(k)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -7*d**2 - 1387*d\/6 + 8239\/2 = 0. Calculate d.\nAnswer: -321\/7, 77\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*r + 61 - 88 = 0. Solve r - 6 = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by 83?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10 - 10. Suppose -8*h + 3*h = y. Let m = h + -11. Which is smaller: -12 or m?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4003, -7643, -10753, -13069, -14327, -14263, -12613?\nAnswer: -9113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*h - 0. Let v be (15\/20)\/(h\/(-4)). Suppose -2*o + 0 = 2*p - 4, 4*p - v*o = 36. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 5 = -4. Let t(h) = 4*h**2 + 1. Let q be t(p). Let n(z) = -2*z + 2. Give n(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 2060\nAnswer: -1\/2060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 4, 5110697, -5.\nAnswer: -5, 4, 5, 5110697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 65702937 at least as big as 65702939?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -881?  (a) -0.5  (b) 3\/2  (c) 2\/5  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 35 + -29. Suppose v*g - g = 0. Let c(l) = -2 - 5 - l - 2. Give c(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 48 and 11112?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -622.3, -3\/5 in increasing order.\nAnswer: -622.3, -8, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29, 30, 33, 38, 45?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 61 = 2*b, -3*b - i - 95 = b. Let z = 40 + b. Calculate the remainder when 64\/((-4)\/2)*-1 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.5, 1\/81, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g**3 - 6*g**2 - 5*g + 3. Let m = 91 + -96. Let v be h(m). Suppose -v*c + 0*x + 445 = -4*x, -c = 2*x - 135. What are the prime factors of c?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*x - 5*x + 0*x)*(-509*x + 10 - 506*x + 1001*x) as o + l*x**2 + r*x and give l.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the third derivative of 1\/120*y**5 + 2*y**2 + 1\/6*y**3 + 46 + 1\/16*y**4 + 0*y. Factor m(i).\nAnswer: (i + 1)*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -26, -204, -574, -1232, -2274, -3796?\nAnswer: -5894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 6*a - 18. Let f be t(4). Suppose f = -9*s + 11*s. Solve -s*x = 4*z + 14, x - 4*x + 3*z + 21 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -729 - -675.79. Let f = g + 53. Let p = -0.212 - f. Round p to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = m + 40230 - 3480, 0 = -3*q + 4*m + 55135. What are the prime factors of q?\nAnswer: 19, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 121*x = 124*x - 2439660. Suppose -5*s + 8*s + 1434660 = 0. Let c = s + x. What is c rounded to the nearest ten thousand?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 + 4. Suppose -6 = -c - 2, -n*g + 4*c = -14. Let b = -9 + 13. What is the remainder when g is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(567)*2 + 0 - (2 + -1*(4 + sqrt(252))**2).\nAnswer: 66*sqrt(7) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2082*n - 446 + 446.\nAnswer: 2082*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 4*u - 66 = 0, -u = -4*u + 3. What is the least common multiple of y and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 3 = -0*c. Let u(v) = -7102635150 + 7102635150 - 12*v. Determine u(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 394 and 378634.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 437 or 29443?\nAnswer: 29443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 34938245 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 44919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 716 - 27*q**2 - 1460 - 94*q**2 + 746.\nAnswer: -121*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/((-4)\/18) + -3. Suppose 2*i + 0 = t, -2*x + 5*i = -13. Solve 2 = -2*f, -2*f = -2*r + 6*r + x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3\/130 + -1\/13. Let x be (-2)\/(-4)*(-3 - -11). Suppose 0 = 4*d + x - 0. Is y equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*g - 2*o + 36 = -1 - 25, 80*g = 13*g + 4*o - 406 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - (6 - 2)) + 19\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i - 3*a = -10, -3*i + 15 = 1361*a - 1357*a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 21266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -2*h**2 - 1606*h + 51. Calculate p(0).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhhv when four letters picked without replacement from {h: 3, v: 11}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -9\/46 and -35\/944?\nAnswer: 21712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 7 = 1. Suppose -h = -0 + b. Let f = h - -3. Solve -p + f = -3 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 81 + -159\/2. Let u = 1093 + -1097. What is the closest to 2 in u, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7696 - -76879\/10. Let r = 7942\/5 + 4401\/10. Let l = r + -1979. Calculate the common denominator of h and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 7*r + 9. Let x be q(9). Suppose -x = 2*y + 2*y. Let a = -3 - y. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**3 + 26*b**2 - 36*b + 2. List the prime factors of p(24).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ds when two letters picked without replacement from skessdlkssssddsvdsds?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 6*d + 400 = -2*y, -978 = 5*y - d. Let c = -136 - y. Suppose 18 = -3*z + c. What is the greatest common factor of 112 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x + 5*g + 20, -3*x - 3*g - 2*g + 50 = 0. What is the lowest common multiple of x and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 322327662?\nAnswer: 2, 3, 53, 1013609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m + 3*l - 24, -24093*m - 12 = -24090*m - 3*l. Let 8*g - 22\/3*g**m - 2\/9*g**4 + 20\/9*g**3 + 0 = 0. What is g?\nAnswer: 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -312*i + 313*i - 176. Suppose 5*z = 274 + i. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*v + v - 20933 + 9631 + 11302.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -154 - 143 - j + 4*j + 297.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cckkckckccckcc. What is prob of sequence kkk?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, -291, -8 in decreasing order.\nAnswer: 2, -5, -8, -291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 361966616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 11 = -5. Suppose -2*v + 3*a + 1122842 = 3*v, 449144 = 2*v - z*a. Let h = v - 120566. What is h rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 5, -344\/7, 2562?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 0 - (-2 + -8 + 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 17 and 57.\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - j = -3*j - 16, 0 = -2*v + 5*j + 31. Let r = 37 - 43. Let z = 6 - r. Solve 0 = v*b + b - z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -j**4 + 1186*j**2 - 18*j + 33 wrt j?\nAnswer: -12*j**2 + 2372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 78298 + -13080. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -52 - 19?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55 = -39*z + 94 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/9*18\/72?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**2 - 5*x - 64. Determine o(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 210 and 780.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 3*l - 7 = 2*d, -3*d + 5*l - 19 = 0. Suppose 5*b + 41 = 5*o + 1, 5*o - 3*b = 30. Sort -2, o, d in descending order.\nAnswer: o, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 2*k**2. Let g(t) = -33 - 34*t**2 + 66*t**2 - 29*t**2 + 3. What is g(n(o))?\nAnswer: 12*o**4 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5099\/10 - -513. Let x = -557\/12 - -173\/4. What is the common denominator of x and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-5)*a\/(a\/(a\/(a*(a\/((a\/(a\/(a\/a**(2\/17))))\/a*a))\/a)*a))*((a\/(a\/((a*a**(-1))\/a)))\/a)**31 assuming a is positive.\nAnswer: a**(-1107\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -4 - 0.3324389467\nAnswer: -4.3324389467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -b - 212*b**2 + 189*b**2 - 854*b**2.\nAnswer: -877*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.328 - 0.3001205. What is r rounded to 3 dps?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -30?  (a) 0.3  (b) -3  (c) -4  (d) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-44)*4290\/(-520).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 359279555*f**4 - 347229041?\nAnswer: 1437118220*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s - 5*k + 23 = 0, 5*s - 12*k + 8*k = -30 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 829225316 is divided by 269.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 14 - 16. Let h = 7.57 - 7.38. Which is the fourth biggest value?  (a) 3\/4  (b) h  (c) n  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l - 8. Let t be k(6). Let x be 8 - 4 - (1 - t). Is x at least as big as 1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 + -12133437?\nAnswer: -12133440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n - 4*d + 20 = 0, 4*n - 5*d + 3797 - 3803 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3*n + 1)*(-n**3 - 4*n + 4*n) - 4*n**4 + 2*n**4 - 3*n**4 - 10 + n**4 + 10.\nAnswer: -7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 19542\/5 - 3965. Let s be (-2)\/(4\/(-38))*-3. Let u = d - s. What is the second smallest value in 2\/9, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 3 + 2)*(0 + 0 + i) + 1 - i - 1 + (3 - 1 + 1)*(4*i - 4*i + 2*i) - 3*i + i + i + 6*i + 3 - 3 to f*i + w and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -124545 + 124550. Let r = 1 + -1.3. Which is the closest to 19?  (a) 0  (b) r  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/49, -9, -152?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*u**2 + 6*u**3 + 42 + 25*u**2 - 48 - 13*u**2 + 4*u**3 to b*u + w*u**3 + z + a*u**2 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-11)\/((-66)\/(-12)))\/(((-291)\/(-194))\/(3\/(-36)))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 218*u**2 - 1007*u - 9. Let h(j) = 54*j**2 - 252*j - 2. Let v(q) = 9*h(q) - 2*y(q). Find the second derivative of v(x) wrt x.\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**3 - 11*p**2 + 12*p - 13. Suppose 0 = j - 5 - 5. Is v(j) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k - 172 = 199. Let z(l) = -131 + k + 3*l + 35. Let n be z(14). Put 3, -2, 9, n in descending order.\nAnswer: 9, 3, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 100 less than 106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes after 1:38 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12 and 2632?\nAnswer: 7896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes after 9:54 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/(-18)*-4*((-63)\/(-2))\/(-7). Let p = -3 - -8. Let z be -1 - -1 - (0 - 1). Put p, q, z, 6 in decreasing order.\nAnswer: 6, p, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 2*q**3 + 6*q**2 + 9*q - 3. Is s(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 - 63*l + 157*l + 823*l + 7.\nAnswer: 917*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from ofofoofooooooofooo.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z - 3 = 4*x + 17, -3*x - 3 = -3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 10*w**2 + 113*w - 16. What is l(-6)?\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -26.82 - -0.82. Let z = 31 + m. What is the second smallest value in z, -4\/5, -3, 1\/33?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*o = 3*s + 12*o - 2923, -5*s + 3*o = -4857. Let v = s - 470. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes before 2:52 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 - -18 - (1 + 2 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 18 + ((-33876)\/(-45))\/(16944\/(-360)) - 2\nAnswer: 2\/353","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -9 + (-1548)\/(-153) + -1. Let j(n) = -n**3 - 5*n**2 - 6*n - 3. Let z be j(-4). What is the nearest to 2\/5 in 0.06, q, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1914, -3818, -5716, -7608, -9494, -11374, -13248?\n\"Answer: 3*o**2 - 1913*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 45*b - 4. Calculate d(-2).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.19538841 + -0.002?\nAnswer: 0.19338841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x**4\/2 + 753*x**3\/2 + 70308*x**2 - 214326*x = 0. Calculate x.\nAnswer: -378, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 114443322.\nAnswer: 2, 3, 7, 55609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p + 8. Let m be y(4). Sort 2, -1, m, -2.\nAnswer: -2, -1, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-3\/32)\/a**(-18))\/(a**(2\/67))**5 assuming a is positive.\nAnswer: a**(38071\/2144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*y - 161 = -434. Calculate the remainder when 690 is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 - -5. Suppose -28 = l*z + 29. Are z and 2\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.7  (b) -42  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -4*z**2 + 4*z + 4. Let d be o(-2). Let b be -3*(d\/(-15))\/(-2). Solve 2*c - b*q = 12, 3*c - 4*q = c + 22 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 6.00935 micrograms?\nAnswer: 0.00000600935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**2 - 24*f - 50. Let a be m(26). Solve -a*u = -u - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes after 5:14 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -16 + 50. Let k = -34.02 + u. Let x = 7 + -6.7. Put k, -1\/3, x in ascending order.\nAnswer: -1\/3, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*c**5*u + 6*c**3*u + 9017*c**2 + 12108*c*u - 15 wrt c.\nAnswer: 100*c**3*u + 36*c*u + 18034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 876.4403 centuries in years?\nAnswer: 87644.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8735*b**3 + 2894*b**3 + 2916*b**3 + 2899*b**3.\nAnswer: -26*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/(-28) + 9 + 45\/(-5)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (184\/(-966)*(-7)\/2)\/((-48)\/(-18)). Let g = -3.2 - -3. What is the closest to g in -1.8, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 10 = -7*x. Let q be (x + (-6)\/(-2))\/(-6 - -5). Which is greater: q or 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -27*d - 154. Determine v(-7).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24684 is divided by 2054.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/(144\/(-16)))\/(6\/21).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 12\/(-3) + (-8)\/((-32)\/12). Is z < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*z + 0*z + 77 = 0. Solve z = 2*x + 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gcp when three letters picked without replacement from ghcpl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -111*u**3 - 21*u**3 - 10*u**3.\nAnswer: -142*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 54 + -22. Suppose 0*f + p = 4*f. Sort 4, f, 1.\nAnswer: 1, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.3 + -0.7. Let q = 890 + -890.7. Which is the closest to y?  (a) q  (b) 1  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:02 PM and 2:43 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t - 27*t + 402 = 168*t. Let q(a) be the first derivative of 0*a**t + 0*a + 7\/3*a**3 + 29. Let z(i) = 7*i**2. What is q(z(s))?\nAnswer: 343*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*u - 379 + 20 - 59. Solve 2*o - u = -17*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 573299.\nAnswer: 573299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b + 13. Let y be m(9). Suppose 2 = -j + 4. Suppose 4*g = -5*n + 5, -y*n - n - j*g = 5. What is the nearest to 1 in -3\/4, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 31, -5, -1, 440 in descending order.\nAnswer: 440, 31, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (10\/4)\/(6*(-6)\/(-72)). Suppose -q = n*z - 142, 4*q = -12 - 0. Calculate the remainder when z is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 2*y. Let k(x) = 705 - 470 + 170 + x**2 + 647. Determine k(q(r)).\nAnswer: 4*r**2 + 1052","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 17332301 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-7)\/d*d*d**(-8)*d\/(d\/(d\/d**(-1\/2)))*d**(-3)\/d)**(-46) assuming d is positive.\nAnswer: d**805","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 14136 and 586272?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 73518688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 715*x + 2923 + 1865 = 183*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 194 + -191. Let o = 1 - 6. Let m = o + 5. Solve 0 = -2*i - 0*f - s*f + 9, f - 3 = m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 19508361?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -6*v**2 - 13*v + 12. Let f be o(0). Solve f*d + 119 = -5*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - a - 6. Factor -2\/3*t + 2\/3*t**3 - 4\/3*t**a + 4\/3.\nAnswer: 2*(t - 2)*(t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -14203*h**2 + 4072.\nAnswer: -28406*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 36*x**3 - x - 1. Let i be b(-1). Let j = 54 + i. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 5*i + 6, 5*i = -0*n + 3*n + 2. Sort n, -3, -5 in decreasing order.\nAnswer: -3, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 12:23 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the second derivative of -5*b**3\/6 - 1053*b. Let q(a) = -2*a**2 + 5. Give q(z(m)).\nAnswer: -50*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1280, 1819, 2356, 2891?\n\"Answer: -v**2 + 542*v + 739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the second derivative of x**6\/24 - x**5\/12 - 5*x**4\/12 + 5*x**2\/2 + 5*x. Let z(m) be the first derivative of n(m). Factor z(v).\nAnswer: 5*v*(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15668893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.5 and -9.708.\nAnswer: -9.208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wwr when three letters picked without replacement from wwwwwwrwrwxwrr.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 6 = -z, -4*b - 8 = -2*z + 10. Let j = 2732 + b. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 - -10101011000?\nAnswer: 10101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 + -1)\/(-3 + 1). Suppose x + x - 168 = j. Suppose 0 = -4*b + o + 55, b + 2*b = 4*o + 38. Calculate the greatest common factor of b and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1914 = -3*l - 42*b + 46*b, -1242 = -2*l - 3*b. What is the smallest common multiple of l and 70?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a = -5*n + 10, 4*a = 5*n - 0 - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the second derivative of c**4\/12 - 5*c**3\/6 - 3*c**2 + 3*c. Let s be 1\/3 + 20\/3. Let j be g(s). Calculate the greatest common divisor of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 14 = -v + 5*h, 5*v - 5*h - 5 = 0. Let q(a) = 37*a - 4. Let r(l) = -37*l + 5. Let p(z) = v*q(z) + 5*r(z). Is p(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1350.071 + -1426.63. Round r to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(2\/51)\/((i\/i**(2\/33)*i)\/i*i*i)*(i\/i**(-30))**(-43) assuming i is positive.\nAnswer: i**(-749440\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 1 + -1 - (-63 - -57) - -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 2*q**2 - 7*q + 6. Let h be f(3). Suppose -z - 23 = -2*v, -5*z = -h*v + 20 + 4. Let c = v - -13. What is the greatest common factor of 26 and c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1606597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 18085 - 11972. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1704 and 5735784?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -2. Let a = 29 - 32. Let o(f) = f**2 - 2. Let c be 16\/(-28)*21\/(-6). Calculate a*i(s) + c*o(s).\nAnswer: 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from {c: 1, v: 1, m: 2, i: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 5*w = 1684, 5*w = -q + 6*q - 2105. Suppose -h = 4*g - q, g + 15 = h + 124. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 33\/80 and 61\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66*a - 39*a - 162 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 346, 696, 1034, 1354, 1650, 1916, 2146?\nAnswer: 2334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 500596319 to the nearest integer?\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = -9*q + 66 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -27.3?  (a) 1  (b) -7  (c) 2\/19  (d) 1\/4  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ooh when three letters picked without replacement from {y: 2, o: 1, h: 5, x: 1, r: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 208\/10 - (-156)\/(-195)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -5, -2, -37 in descending order.\nAnswer: -0.2, -2, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -6*j - 9. Let m = -51 + 47. Calculate the remainder when k(m) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -35.4 + 6.4. Let q = r + 57. Let l = -28.00000105 + q. What is l rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the third derivative of -i**7\/1260 - i**6\/120 - i**5\/40 + 15*i**2. Factor f(u).\nAnswer: -u**2*(u + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(2\/5)*r**5)\/((r**(-1)*r)\/r)**(18\/5))\/(r**(-2\/5)\/(r\/(r\/(r*r**(2\/23)))*r*r*r*r)*(r\/(r*r**(5\/4)))\/(r*r**(-6))) assuming r is positive.\nAnswer: r**(4939\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) -9  (b) -1\/7  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62 + 4 - 30 = -22*c. Let v(y) = y**2 + 3*y + 5. Let f(a) = -a**2 - 4*a - 5. What is c*f(p) + 5*v(p)?\nAnswer: p**2 - p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.98 + -2.05. Let w = s + 2.83. Let r = 5 - 2. What is the closest to -1\/5 in -5, w, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -2*u**4\/3 - 10*u**3 + 82*u**2 - 146*u\/3 - 140 = 0.\nAnswer: -21, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**3 - 6*k**2 + 7*k + 10. Let s be l(6). Suppose -6*g + 2*g = c - s, c - 57 = -3*g. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 6882*j - 1321338. What is g(192)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -51\/1120 and 59\/30120?\nAnswer: 843360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*p - 5*d + 211 = -15*p, -3*p + 328 = -4*d. What is the remainder when p is divided by 30?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q = 2*q + 10. Let t be q\/20 - (-10)\/16. Let l = -0.165 - 0.035. Which is the smallest value?  (a) -7  (b) 0.2  (c) l  (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 18871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.0676837 and 3251.\nAnswer: 3250.9323163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 2*d - 72 = 3*v, 5*v - 399 = 3*d. Let x = -63 + v. Let j(u) = 132 - 71 + x*u - 61. Give j(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -49 + 48. Which is the nearest to w?  (a) 8  (b) 1  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**3 + 4*x**2 - 3*x + 2. Determine j(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 67679598?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2549531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1*12*17\/(-1122). Put g, 2, -0.18, 0.2, -1\/2 in decreasing order.\nAnswer: 2, 0.2, -0.18, g, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k - 3*k - 3 + 3*k + 4. Suppose 2*v - 3*v = 3. Let i be b(v). Solve 25 = -5*d + 4*y, 3*d - 5*y = i*d - 24 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c + a - 2321 + 2242 = 0, c = -5*a + 11 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.09  (b) 8717  (c) -1\/300\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -492*-409829.\nAnswer: 201635868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 5 = -r, 29 = 4*r - 0*o - o. Suppose j - 89 = -2*u, r*j + 4*u - 433 = 2*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a + 11*a - 177089 = 0. Suppose -26*r - 1773 + a = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7b71 (base 13) to base 5\nAnswer: 1023310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -12*c**5 + 6972*c**4 + 15*c**3 - 8715*c**2 - 3*c + 1743 = 0.\nAnswer: -1, -1\/2, 1\/2, 1, 581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1416 or 1431?\nAnswer: 1431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12.58 + 13. Let i = -179.02 - -175.6. Let g = r + i. Which is the second smallest value?  (a) g  (b) -3\/5  (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12 + -6. Let k(j) be the second derivative of -j**8\/6720 + j**7\/420 + j**6\/720 - j**4\/3 + 9*j. Let i(q) be the third derivative of k(q). What is i(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -9380, -18774, -28184, -37610?\n\"Answer: -8*x**2 - 9370*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the third derivative of 7*z**4\/24 - 4*z**3\/3 - 6*z**2. Let w be l(4). Calculate the greatest common factor of 10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 9*v**2 + 3*v + 6. Let l(o) = 55*o**2 + 15*o + 31. What is -2*l(u) + 11*q(u)?\nAnswer: -11*u**2 + 3*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1216) + 0 + -4 + sqrt(1216)*-2 + 3)**2.\nAnswer: 16*sqrt(19) + 1217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the first derivative of a**3\/3 - a**2\/2 + 4. Let x(m) = -8*m**2 + 6*m. Let b(v) = 6*l(v) + x(v). Let r(u) = 3*u**2. Determine b(r(j)).\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -6*t + 24. Let h(z) = 5 - 2 + 2 - z. Let q(f) = -2*g(f) + 11*h(f). Let p be ((-10)\/3 + 3)\/((-5)\/(-105)). Calculate q(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 55 + -46. Suppose w*x - 119 = 61. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 882 + 10?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the first derivative of -w**5\/330 - w**4\/33 - w**3\/11 + 13*w**2\/2 - 7. Let y(l) be the second derivative of n(l). Find j, given that y(j) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**4\/11 - 1923164*y**3 + 74587614994800*y**2\/11 - 87660312787002845196*y\/11 - 87660387374638994802\/11.\nAnswer: 2*(y - 3525801)**3*(y + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 33374 - 33371. What is the nearest to -2\/3 in 0.02, i, 4, 1\/10?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -4*k - 3. Suppose w - 37 = 4*j, 4*j = 2*j - 5*w + 9. Let z = j - -6. Let o(u) = -5 - 125*u + 12 + 134*u. What is z*o(y) - 5*f(y)?\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 330625720.\nAnswer: 2, 5, 107, 77249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5544625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 14*q**2 + 163*q - 1561. Is b(9) a multiple of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(340)\/(-6*(sqrt(10) - sqrt(490))))\/((sqrt(72)*1)\/sqrt(4)))**2 + -4)*1.\nAnswer: -46639\/11664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 minutes before 4:53 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 28 = 14. Let h = -31 + 54. Let r = y + h. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -14947\/2 - -7481. Which is the closest to -1?  (a) t  (b) -6  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**3 + 10*h**2 + h + 13. Let p be o(-10). Let g be 2\/(-4) - 5\/(-2). Factor -g*u**2 - 4*u**4 - 3*u**3 + p*u**4 - u**2 - u.\nAnswer: -u*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 148 - -56. Suppose 0 = -6*r - 24 + p. Let b be (1 - 28\/r)\/((-8)\/(-12)). Put b, 1\/6, -2\/5 in ascending order.\nAnswer: -2\/5, b, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10845)\/(-17352)*(-816)\/(-15)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1, 2, 3, 4, 5?\n\"Answer: v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4138 + -3705. Which is bigger: k or 434?\nAnswer: 434","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r - 3*v - 981 = 0, -8*r - v + 685 = -3*r. Let o = 143 + -8. Suppose 3*p - b = o, -b - 227 = -8*p + 3*p. What is the highest common divisor of p and r?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, o: 4, d: 3}. What is prob of picking 4 o?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 40222362 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1448?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = -l + 95. Let h = l - 17. Are 11 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.68 - 0.08. Let a = 3.4 + f. Sort a, 3, -1 in descending order.\nAnswer: a, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -19, -4, 2\/5 in descending order.\nAnswer: 1, 2\/5, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 149*v = 148*v + d - 4, -3 = -3*v - 2*d for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -14*t - 9. Let m(s) be the first derivative of s**2 - 25*s + 164. Let h(b) = 3*b - 19. Let c(w) = -5*h(w) + 4*m(w). Calculate 5*c(v) - 3*z(v).\nAnswer: 7*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 228\/(-12) + 20 - 3*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 110 + -62. Let b be 4\/(-10) + m\/20. Factor -2*x**3 + 0*x**2 + 0*x**2 - b*x**4 + 0*x**4.\nAnswer: -2*x**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, k: 1, w: 2}. What is prob of sequence kw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-25416)\/85779 + (-2)\/(-9)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the third derivative of -4*p**2 + 7\/60*p**5 + 0*p**4 + 0 + 0*p**3 + 1\/2352*p**8 + 3\/40*p**6 + 1\/98*p**7 - 3*p. Find o such that b(o) = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - -218?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79972823?\nAnswer: 7, 233, 49033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 194138 and 267435?\nAnswer: 1981","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -49 + 64. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 - 24 - (41 + 1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (60\/(-65))\/(34\/(-7072)*-352)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**2. Let v(y) = -11*y - 14*y + y - 3*y. Determine b(v(c)).\nAnswer: 729*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**3 + 31674*g**2 + 113566446*g - 95863658122.\nAnswer: 2*(g - 701)*(g + 8269)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 - ((-33)\/55)\/(75\/(-2000)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -19*f. Let m(o) = 4*o**2 - 9*o. Let q(g) = g**2 - 2*g. Let v(w) = -4*m(w) + 18*q(w). Give v(l(r)).\nAnswer: 722*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -o**2 + 0*o**2 + 4*o**2 + (o + o - 4*o)*(-3*o + o + 4*o) + 5*o**2 + 16 - 16 to c*o**2 + u*o + p and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -4018, -32264, -108938, -258256, -504434, -871688, -1384234, -2066288?\n\"Answer: -4036*b**3 + 2*b**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*d**2 + 3*d - 2*d - d to the form c*d**2 + l + n*d and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 2*s**5\/7 - 108*s**4\/7 - 472*s**3 - 18372*s**2\/7 + 3302*s\/7 + 2640 = 0.\nAnswer: -15, -8, -1, 1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 <= -15757\/52890?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -27c + -3?\nAnswer: -27f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1628 and 15286772.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 5, -1, -0.1, 489?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the first derivative of -v**5\/5 + v**3\/3 + 29*v**2\/2 + 2*v + 28. Let o(x) be the second derivative of z(x). Let c(d) = 2*d. What is c(o(f))?\nAnswer: -24*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -19*k - 4. Let d(v) = -57*v - 11. Give 4*d(m) - 11*l(m).\nAnswer: -19*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 4, 9, -1, -11 in descending order.\nAnswer: 9, 4, -1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -9*n + 41. Let q(f) be the first derivative of 21*f - 25 + 2*f**4 + f**4 + n + 0*f**4. What is the derivative of q(b) wrt b?\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 70 = -2*i + j, i + j = 38. Find the second derivative of -i*w + 2*w**2 + w**2 + 46*w wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 8) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o. Let m(g) = 3*g - 71. Let k(c) = -11*c + 320. Let a(u) = -2*k(u) - 9*m(u). What is a(v) + 6*n(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 19492 and 8.\nAnswer: 38984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 124*0.3.\nAnswer: 37.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 135 divide 174725370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 24*x**3 - 2*x - 1 + 2*x**2 - 9*x**3 - 4*x**2. Let n be k(-1). Let z be 1 + -18 - ((-6 + -1 - 5) + 9). Which is smaller: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 + -1 + -11 + 23 - 17) + -2 + -54.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1 times -1527\nAnswer: -1527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 3*b = 159, -4*r + 5*b + 154 = 3*b. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**3 + 8*t**2 - 2*t - 12. Let x be f(-8). Suppose -x*y + 6*j - 3*j + 6361 = 0, -6351 = -4*y + 5*j. Suppose -y = -0*q - 2*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1.145 and -119271637.\nAnswer: -119271638.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that n**3\/2 + 1553*n**2\/2 - 3898*n - 4674 = 0.\nAnswer: -1558, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 61957 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15 - -14. List the prime factors of x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 185, -24, 11, 5.\nAnswer: -24, 5, 11, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -291263*x - 291271*x + 582533*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 452 = -o. Let s = o - -192. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 36561 and 567.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) 1  (c) 7  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1 - (1 + 0)\/(-1). Let g(q) = q**3 + 5*q**2 - 7*q - 1. Let y be g(-6). Suppose 0 = -y*s + l*s + 144. Calculate the common denominator of s and -29\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -11*j - 591000. Round j to the nearest 1000.\nAnswer: -99000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -31a0 (base 14) to base 3\nAnswer: -102202100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 18474949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 78 - 6. Suppose -4*t = -44 - m. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(10)\/sqrt(2) - -2*sqrt(500).\nAnswer: 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002931779 rounded to six decimal places?\nAnswer: 0.000293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2.38 or -5\/6993?\nAnswer: -5\/6993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) -7\/5  (b) 0.1  (c) 5  (d) 44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 6\/(-30)*(7 + -4 + -3) - -9. Solve -154*h + 153*h + x = 0 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29985150?\nAnswer: 2, 3, 5, 13, 15377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 - (-5 + 12 + -1108). Suppose -16*p = -t - 370. Is p a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 53, 200, 443, 782, 1217?\n\"Answer: 48*o**2 + 3*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3022, -5715, -8372, -10975, -13506, -15947, -18280, -20487?\nAnswer: -22550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**2 - 9*f + 8. What is m(5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 32, 0.2, 0.4, 13.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 60 + -56. Put b, -0.1, 3 in decreasing order.\nAnswer: b, 3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 73903039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the first derivative of 5\/2*f**2 + 16 - 40*f. What is the units digit of p(22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-18)*3*0*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (126\/(-12))\/(-3)*128\/(-56)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the first derivative of -b**4\/4 + 3*b**3 - b**2 - 5*b - 3. Let q be d(6). Suppose -q = -2*a + 7. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**3 + n**2 + n + 8. Let f(x) = x**3 + x + 9. Let u(l) = -5*d(l) + 4*f(l). Let a = -989 + 985. Calculate u(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is a + 712?\nAnswer: 71c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from ihh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -24932 by 3.\nAnswer: -24932\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0003085501 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 28166 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -87\/1864 and 41\/1894290.\nAnswer: 7577160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the second derivative of -402*d**5 - d**4\/6 - 2469*d**3\/2 + 203*d + 9. What is the third derivative of t(c) wrt c?\nAnswer: -48240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the second derivative of 0*y**3 + 3*y + 1\/4*y**4 + 0 + 0*y**2 + 1\/20*y**5 + 1\/240*y**6. Let g(w) be the third derivative of x(w). Calculate g(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 630.23 - 633. Let s = 0.23 - y. Let p = s - 3.5. Which is the second biggest value?  (a) -2  (b) -4  (c) p  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2363617 or 2363596?\nAnswer: 2363596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 8777752?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 80249 - 91\nAnswer: 80158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (0 - (6 + -11)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are 36\/295 and -1\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 3*c**3 + 49 - 49 - 2*c**3 + 5*c**2 + 4*c. Let a be b(-4). Solve a*r = -r + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ousspspptpplsspsppol. What is prob of sequence lo?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 - 54.5.\nAnswer: -50.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-1 + -4 + (2*sqrt(1216))**2*-2) + -3 + -4.\nAnswer: 19459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 55937365727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2531 + -2528. Solve 10 = -2*u - 0*z + 4*z, -c*z + 9 = -3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2889.83 to the nearest ten.\nAnswer: -2890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*x**4 - 166*x**2 + 176*x**2 - 7*x**4 wrt x.\nAnswer: -312*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**2 - 8*i - 8. Let m be b(-6). Suppose -q - 3 = -4*q. Let s(w) = w**2 - 1 - 1 - m*w - q. Calculate s(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -3735981, -3735963, -3735945?\n\"Answer: 18*w - 3735999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 12210022122011 (base 3) in base 6?\nAnswer: 145540351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -118 - 26 = 4*z. Let h be (-30)\/z*(-24)\/(-40). Factor 5\/2*m + h*m**2 + 3.\nAnswer: (m + 2)*(m + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2281.96 - 2282. What is the third biggest value in f, 0, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*y - 129*y - 700 = -2229. Let t(k) = 98*k. Calculate the remainder when t(1) is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6533680*a**2 - 48*a**3 - 6533680*a**2.\nAnswer: -48*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (-12 - -2 - (7 + (-19 - 7))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.08?  (a) -2  (b) -5\/2  (c) 428.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 11. Let a(m) = -2*m**2 + 615. Determine a(z) + 2*h(z).\nAnswer: -2*z**2 + 637","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (715 - 577) + -3 + (20 - 4 - (9 + -3)).\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -17385116 divided by -37\nAnswer: 469868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1370 = 152*g + 2 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**2 - 3*x - 3. Let o be f(3). Let b = 17 + o. What is the tens digit of (980\/(-40))\/(2\/b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 38 and 18?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(7)*2 + sqrt(504)\/sqrt(8) + -1*(sqrt(7) + -3)*-4)**2.\nAnswer: -306*sqrt(7) + 856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(11\/4))**(-1\/30)\/(n*n**(1\/23)*n**(-8\/9)) assuming n is positive.\nAnswer: n**(-2039\/8280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 358596.\nAnswer: 2, 3, 7, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -188.172 plus -153?\nAnswer: -341.172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:02 AM and 12:07 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -431.4 and -2.\nAnswer: 862.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2992601.\nAnswer: 1033, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 433431170 to the power of 1\/2, to the nearest integer?\nAnswer: 20819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1198779, -1198759, -1198733, -1198701, -1198663?\nAnswer: -1198619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**2\/2 + 3406*p - 460893\/2.\nAnswer: (p - 67)*(p + 6879)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6 or 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47 is divided by 30.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 5*l = -61 - 163, 2*l - 472 = -4*m. Suppose -4*o = -2*b - 29 - m, 4*o = 20. Is 34 a factor of (5 - 7)\/(1\/b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1*(-4)\/(217\/35 - 7). Let o(n) = 4*n**3 - 3*n**2 + 5*n - 1. Let p(k) = 5*k**3 - 2*k**2 + 6*k - 1. Determine i*p(w) - 6*o(w).\nAnswer: w**3 + 8*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -3*r. Suppose -s - 21 + 58 = r. Does 20 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((-6*-6*-1*(sqrt(117) - (-2 + sqrt(117) - sqrt(117) - sqrt(117)))*6*2)**2 + -2).\nAnswer: 4478976*sqrt(13) + 88086526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12071694?\nAnswer: 2, 3, 37, 54377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59*d + 55 = -299 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 605408744 to the nearest integer?\nAnswer: 24605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -2*v - 26. Let b be g(-15). Suppose 3*h - 4*q = 18 + 287, 3*h = -b*q + 265. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -b + 6*a - a + 17, 4*b = 4*a + 20 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-52)\/10*(-3)\/(-6). Let b = v + 77\/20. What is the common denominator of b and (-172)\/(-30) + (-6)\/(-9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**2 - 10*w - 2. Let s be ((-44)\/6)\/((-6)\/9). Suppose 3*v + 37 = -4*o, 3*v - s = 2*o + 2*v. Is 9 a factor of m(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w + 1 - 16. Suppose -2*q - 213 = -5*z, z + 12 = 5*z. Let d = q + 95. Put w, 9, d in descending order.\nAnswer: 9, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(300))*-1*-1)**2 - (-1*sqrt(300) + 5 - (sqrt(300) + 1 + (sqrt(300) - (sqrt(300) - (sqrt(300) + (sqrt(300) + sqrt(300)*2)**2 + sqrt(300)))))).\nAnswer: 40*sqrt(3) + 2996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + (3 - 2 - (4 + -8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1010011 + -1110101101001?\nAnswer: -1110110111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d - 13 = -2*z, 3*z = -2 - 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from vuouvuwwo.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 138162596?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20 - (-14 + -10 - 10).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*j - 96617*j**3 + 193236*j**3 + 17*j + 4*j**4 - 8 - j**2 - 96617*j**3 in the form f*j**4 + s*j**2 + n*j**3 + q*j + l and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -5*s**2 - s - 9. Let w be a(6). Let k = -113 - w. What is the remainder when k is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -142*s**2 - 140*s**2 - 149*s**2 - 103*s**2 + 526*s**2.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2039773?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1012*n - 587*n + 1789*n)*(8*n**2 + 17 - 17).\nAnswer: 17712*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 minus 7.41?\nAnswer: -7.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 7, g: 2}. Give prob of sequence dg.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -990518 divided by -61.\nAnswer: 16238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.036 times -15.1?\nAnswer: 0.5436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 * 97\nAnswer: 48.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 1 + 1 + (-4*(sqrt(55) - -6*sqrt(165)\/sqrt(3) - sqrt(55))\/sqrt(5))**2.\nAnswer: 6334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 + -115014?\nAnswer: -115015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(1053) + 2)**2 - sqrt(1053))*-3 + -4.\nAnswer: -3175 + 135*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -12, -1\/14, 9?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16063551.\nAnswer: 3, 7, 254977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 10003*x**3 + 8*x - 85. Let y be s(7). Round y to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -u**2 - 156845*u + u**2 + 156845*u - 6*u**2.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 + 2. Let s = 1 - o. Suppose s = 3*n + t - 34, -4*n + 8*n = 2*t + 42. Calculate the highest common factor of n and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -7*x**3 + 6*x**2 + 7*x + 4. Let g be o(-5). Suppose 41*i - 39*i - g = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 1 = -2*i. Suppose a = -2 + i. Let l = a + 20. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1309*s**2 + 92*s**3 + 1309*s**2 + 3 - 3.\nAnswer: 92*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.345 + 2.655. Let y = -44 + 43.5. What is the third biggest value in y, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7102*m + 2875*m - 2312*m = -1508*m + 210979 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the first derivative of w**2 - 9. Let r(c) = 6 + 7*c + 1 - 3. Let v(d) = -14*d - 9. Let a(k) = 9*r(k) + 4*v(k). Determine h(a(t)).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2419*b - 630 = 2349*b. Calculate the remainder when 160 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 24240000 to the nearest one hundred thousand.\nAnswer: 24200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 900194311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 60914380049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 43786298 to the nearest integer?\nAnswer: 6617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 42271320 a multiple of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/11 in 0.3, -0.8, 2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a**2 + 4*a**2 + 0*a**2)*(-9 - 4 + 3) + 0 + 2*a**2 + 0.\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the third derivative of -o**6\/120 + 3*o**5\/10 + o**4\/24 + 19*o**3\/6 + 1645*o**2. Let r be 18*-1*2\/(-2). Let s be q(r). Which is smaller: 36 or s?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 + -1. Let q = 0 + 1. Let k = d - q. What is the nearest to 1 in -0.1, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**2 + 3*y - 6. Give z(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3613 plus 4.7?\nAnswer: 4.3387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 855 and 2451.\nAnswer: 36765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add together 86801 and 0.\nAnswer: 86801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -2*u**2 + 7*u + 6. Let c(p) = -p**2 + 8*p + 7. What is -5*c(x) + 6*h(x)?\nAnswer: -7*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vk when two letters picked without replacement from {v: 5, k: 5}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 210967*g**2 + 49694*g - 2 wrt g.\nAnswer: 421934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -76 - -1?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the first derivative of -23*g**2 + 37 - 14*g + 18 - 20. Differentiate o(t) wrt t.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10020 (base 4) in base 15?\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes before 10:02 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -123\/5960 and 113\/30396.\nAnswer: 303960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, d: 17}. Give prob of picking 2 d.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 9*m - 11. Let y be t(4). Suppose y*z - 22*z = 13713. Suppose -z = -4*f + 873. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the third derivative of -f**6\/120 + f**5\/15 + f**4\/8 - 5*f**3\/6 - f**2. Calculate the lowest common multiple of 5 and p(4).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 42 = -86. Let d be 5*(-36)\/(-30) - -6. Suppose 11*j + 3*n + 27 = d*j, 0 = -5*n - 5. Calculate the highest common divisor of b and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**3 + 695*f**2 + 107675*f - 4662875.\nAnswer: (f - 35)*(f + 365)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 at most as big as 5\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1062 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(140)\/(sqrt(14)\/sqrt(2)) + sqrt(20) + sqrt(20) - sqrt(180)*-2)\/(sqrt(44)\/(-2*sqrt(11))*1*6).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -1. Let f(c) = -c**2 - 7*c - 7. Let p be f(-7). Let b(k) = k + 4. Let r(h) = p*z(h) - 2*b(h). Calculate r(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -16895\/36 - -1883\/4. Calculate the common denominator of z and (-23)\/27*(-10 - -13).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, -2268, -1169, -1, -0.4?\nAnswer: -2268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -2185224209 <= -2185224209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 t when two letters picked without replacement from txwbttbtxtwwwttwtt?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3889*z + 3 - 89 + 86.\nAnswer: -3889*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 64.969 - 65. Let i = z - -5.031. Which is the nearest to 0.1?  (a) i  (b) -1  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -272.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 + -2. Let l be -1*p*(-3 - 12). Calculate the highest common divisor of 120 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*x - 2*y = -144, -71*x - 27 = -74*x + 3*y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 111727710 a multiple of 954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 475521?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.575387ns to microseconds.\nAnswer: 0.000575387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 less than -517.2543?\nAnswer: -522.2543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -v + 80, -2*v - v + 220 = 5*y. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2*z**2)*(-7*z - 23*z - z) - 2*z**3 - 4*z**3 + 4*z**3 + 6*z**2 + 5*z**3 - 6*z**2.\nAnswer: 65*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111110000100 (base 2) to base 10.\nAnswer: 3972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4439915647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*c**2\/3 + 30801548*c\/3 - 30801544\/3.\nAnswer: -4*(c - 7700386)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 3 + 21*g**2 - 67*g**2 + 15*g**2 + 6*g**2 + 27*g**2.\nAnswer: 2*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 422, -1\/2, -9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 43968079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47598 - 4652 = t - y, -128841 = -3*t + 4*y. What is the ten thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11, 26, 47, 74, 107, 146, 191?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 + -7. Let m(x) = -x**2 - x - 12. Let n be m(v). Is 35 a factor of (-7116)\/n + (-2)\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/8*5500\/(-375).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -259101*l = -259128*l + 756 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 + 0)*(205*b**3 - 205*b**3 - 188*b**4).\nAnswer: -376*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is (-636)\/53 - (3 + -3055) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3240 (base 5) in base 11?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3198 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -203539, -203534, -203529, -203524, -203519?\n\"Answer: 5*j - 203544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 969 divided by 51.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 243422.\nAnswer: 2, 121711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -16*p - 156. Give z(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.73 + 3.22. Let z = 0.05 + o. Which is the third smallest value?  (a) -3  (b) -5\/2  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 195783230 a multiple of 225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1155 and 10103905?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 9834.86 weeks?\nAnswer: 1652256.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -98.\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b + 6*i - 45 = 0, 4*i - 26 + 18 = 4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**3 - 4*s**2 - 5*s + 1. Let p be r(7). Suppose 2*f - 413 = -p. Suppose -5*h = -120 - f. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*k, -3*j = -3*k + 2*k - 116. Let a(u) = u**3 + 31*u**2 + 77*u - 78. What is the remainder when a(-28) is divided by j?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppqp when four letters picked without replacement from ifipppqpl?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2072.8 + 2106.8. Which is the second smallest value?  (a) v  (b) -2  (c) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 - -7. Let t(o) = 6*o + 16*o**2 + r - 12*o - o**3 - 2*o. Is t(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5 and 923045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-8)\/3*(-12)\/(-8). Let k(h) = -67*h + 538. Let f(v) = 5*v - 40. Let z(x) = -27*f(x) - 2*k(x). Let i(p) = p + 1. What is w*i(t) + z(t)?\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 6*r**3 - r**2 + r - 1. Let m be v(1). Suppose a = -m*n + 23, -4*a = -2*n + a - 7. Solve 4 = -n*w - 0*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 360*l - 11132 + 29492 for l.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -51*i**4 - 78*i wrt i.\nAnswer: -612*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 119 in 0.4, -2, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 892, 1792, 2692, 3592, 4492?\nAnswer: 5392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.063 - -0.263. Let j = -1 - 1. What is the nearest to j in -0.2, i, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 22*p**5 + 69907*p**3 + p**2 + 3*p + 290788 wrt p.\nAnswer: 1320*p**2 + 419442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -834 or -3827?\nAnswer: -3827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -236, -978, -2224, -3974?\n\"Answer: -252*j**2 + 14*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhrr when four letters picked without replacement from rrrrrhrrrrhhrrr.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*m**3\/7 + 1140*m**2\/7 + 4416*m\/7 - 36096\/7 = 0. Calculate m.\nAnswer: -376, -8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p**3 + 64625380*p**2 + 64625375*p = 0.\nAnswer: -12925075, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**2 - 9*a + 4. Let m(x) = -x**3 - 2*x**2 + 28*x - 8. Let g(z) = -3*h(z) - m(z). Let q = 3 - 3. Calculate g(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*t + 14*t - 3*t + 0*t)*(3*t**3 - 2*t**4 - 3*t**3).\nAnswer: -34*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1876 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 26376 and 1372.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - (-8)\/(-3))*(12 + 0 + -60)*3.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a millennium in months?\nAnswer: 13200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**2 - 2*l + 3. Let v(p) = p**3 + 5*p**2 + p - 1. Let o be v(-5). Let a be o\/(-15)*(1 - 11). Calculate g(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j + 4*v + 41 = 0, 644*j - 649*j - v + 21 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the first derivative of -s**4\/4 - s**3 + 3*s**2\/2 - 4*s - 4. Let u be n(-4). Suppose u = -5*g + 3*g + 226. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in m + 3*m - 9*m - 13*m + 2.\nAnswer: -18*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -25*j**3 + 1548690*j**2 + 28504180*j + 11153880 = 0?\nAnswer: -18, -2\/5, 61966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 76\/(-38)*5\/4*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 847 is divided by 108?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -163*z + 205*z**2 - 471*z**2 + 163*z.\nAnswer: -266*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -11 - 26*o**2 + 11*o**2 + 5*o - 7*o + 4*o + 13*o**2 in the form u*o**2 + x*o + k and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 29 + -3. Suppose 46 + r = 3*x. Solve m = -2*a + 13, 2*m - 5*m - 3*a = -x for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1101056 by 550528.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*i - 3*i - 4*r + 53013, 0 = 5*i - 3*r - 88355. Let x = i + -565423\/32. Find the common denominator of 11\/12 and x.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the first derivative of -c**7\/2 + 17*c**3\/6 + 33*c + 35. Let t(u) be the first derivative of f(u). Find the second derivative of t(x) wrt x.\nAnswer: -420*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8696 or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -17829887, 0.5, 0.01, 1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 10*b**3 + b**2 - 6*b + 5. Determine a(2).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c = 2*c - 6. Let r(n) be the third derivative of 0 + 0*n**c + 0*n**7 + 1\/90*n**6 - 1\/504*n**8 + n**2 + 0*n - 1\/36*n**4 + 0*n**5. Solve r(v) = 0 for v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((w\/(w**(2\/7)\/w))\/w)**(1\/7))**28)**(1\/14) assuming w is positive.\nAnswer: w**(10\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 23544 and 667908?\nAnswer: 436811832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from simiyisjsisrirri. Give prob of sequence jyr.\nAnswer: 1\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-7)\/(-5) - 4\/10. Let h(l) = l**2 - l + 2. Let p(s) be the first derivative of -2*s - 1. Give k*p(m) + 2*h(m).\nAnswer: 2*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2602121, 5204243, 7806365?\n\"Answer: 2602122*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 775743073 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: Solve 444*c - 208*c = -460*c + 7656 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -49 + -6?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 3*w = -4*w - 62, 20 = y + 5*w. Let x = y + -24. Calculate the least common multiple of 2 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 688815 to the power of 1\/2, to the nearest integer?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1853628 to the nearest integer?\nAnswer: 1361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 55\/66*483\/70*4?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-21))\/(78\/(-91))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 383 a factor of 3923806658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -2*v, 5*v + 11474 = 4*o + 3*v. List the prime factors of o.\nAnswer: 2, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 552827813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 48\/20 - (-10)\/(-25).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: ((-25)\/(-750))\/(100\/1000)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the first derivative of 8*y**5\/5 + y**4 - 2*y**3\/3 + 1281*y**2\/2 - 201. What is the third derivative of j(v) wrt v?\nAnswer: 192*v + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 - ((-16 - 5) + 50)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 105*q - 12599. What is t(120)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*n - 3 + 3*n + 0*n)*(-2 - 3 + 4)*(-3*n - n - 3*n)*(4 - 1 - 1).\nAnswer: -14*n**2 - 42*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/((-16)\/(-144)*3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 92a5140 (base 11) to base 14.\nAnswer: 2275a4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 105 and 74634.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -233 - -235. Solve -6 = c*a, 2*v - v + 11 = -3*a for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 16*i - 7. What is the tens digit of r(23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 212 - -102031144?\nAnswer: 102031400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 55462*d**3 + 569*d**2 - 11 wrt d?\nAnswer: 332772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 7\/270, -0.1, 7, 0 in ascending order.\nAnswer: -0.1, 0, 7\/270, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -41*v**2 + 41*v**2 - 137*v**4 - 219*v - 2*v - 832*v wrt v.\nAnswer: -1644*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 - -163?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 1112 = 1534. Does 20 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (-11 - (-16 - (-28 - -13)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 - -3. Suppose 0*t - 5*f = -4*t - 60, 0 = -4*t + 3*f - 60. Let p be t\/70 + 3\/(-6). Which is greater: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 244636741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(78) - -4*(sqrt(78) + sqrt(78) + (-1*sqrt(78) - sqrt(78)) + sqrt(78)))\/sqrt(6) + 4 - (sqrt(208) + 1 - 5*sqrt(1053)))**2.\nAnswer: 276*sqrt(13) + 27517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tzyzyx. What is prob of picking 1 x and 2 z?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**3 - 14422*u**2 - 26006470*u - 25992050.\nAnswer: -2*(u + 1)*(u + 3605)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -210938*q - 219 - 264 = -210917*q for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes after 4:26 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1912 - 3792 + 1880 + 9*h**3 - 4*h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in thirty-three fifths of a day?\nAnswer: 9504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -15*g + 12*g + 1092. What is the second derivative of g*o**2 - 364*o**2 - 10*o**4 + 10*o wrt o?\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -27 + 32. Let d = -4.9 + 5. Which is the third smallest value?  (a) d  (b) x  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (6\/(-5) + 2)*-10. Suppose 5*s = -81 + 101. Suppose -5*v + 5*t + 0*t - 10 = 0, 3*v + 2 = s*t. Which is smaller: v or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = 17 + 8. Suppose 7*h = x*h + 2. Let a(p) = -p**2 - 9*p - 10. What is the least common multiple of h and a(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 140471, 140474, 140477, 140480, 140483?\nAnswer: 140486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 66609 and 7836.\nAnswer: 173982708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 2 + (1*-1*sqrt(1377) + sqrt(1377)*-3 + sqrt(1377) + -2)**2 + -3.\nAnswer: 108*sqrt(17) + 12395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4063449*y**2 + 3305757*y wrt y.\nAnswer: 8126898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2570, -2571, -2572, -2573, -2574?\nAnswer: -2575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (28*r - 55*r + 23*r)*(6 + 9 + 0) in the form j + o*r and give o.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -36 - -42a82?\nAnswer: 42a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 168254642?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-2\/7)\/w)**(-5\/7)*(w*w**1)**(3\/10) assuming w is positive.\nAnswer: w**(372\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the third derivative of 0*k**4 + 0*k + 0*k**3 - 3*k**2 + 0 + 1\/30*k**5. Let z(i) = -5*i. Calculate z(c(h)).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 3, -215, -579, -1089?\n\"Answer: -73*b**2 + b + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 4, w: 2, k: 4, u: 3, n: 3, y: 1}. What is prob of sequence kfw?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-36)\/5)\/(4\/(-20))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 180 + 75 + -286 - (0 - -19 - -1)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -21816*m**4 + 3*m**2 - m - 329471 wrt m.\nAnswer: -261792*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -22563 + 22562.99999979535. Round r to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -228, 23, -3 in descending order.\nAnswer: 23, -3, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1*-1*(0 - 8). Let r = -13 + l. Suppose -7 = 3*t + 5*i, -t + 6*t - 2*i + 22 = 0. Sort r, -2, t.\nAnswer: r, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0215387004 to four dps.\nAnswer: 0.0215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 28, 60, 98, 142, 192, 248?\n\"Answer: 3*h**2 + 23*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:05 AM and 12:44 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -2*q - 3*q + q - 3. Let c be u(-2). Suppose 15 = c*m - 30. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 148 + 59010\/(-399) - 1352\/13566.\nAnswer: 2\/357","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 73 divided by 2.\nAnswer: 73\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 46752048 and 13357728.\nAnswer: 93504096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 135, -2, 0.071, 0.1 in descending order.\nAnswer: 135, 0.1, 0.071, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (42\/(-372))\/((-1071)\/612).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 5*i - 5. Let m be n(7). What is the common denominator of 1 + (-129)\/m - -2 and -25\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 21 - 13. Let m(c) = c**3 - 8*c**2 + 3*c - 18. Let f be m(b). Let z(o) = -2*o + 5. Determine z(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2160)\/(-630))\/((-54)\/126).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**2 + 29*y + 147. Suppose -5*b - 4*z = -2*z + 28, -3*b - 3*z = 15. What is the least common multiple of x(b) and 80?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -41508877\/23 and -1804735 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 108 + -104. Suppose 2*w - b = -w - j, w - j + 4 = 0. Let h = w + -3. Put 1, h, 5, 0 in ascending order.\nAnswer: h, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 202 is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*v + 3*k + 5 = 4*v, 4 = 4*k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 228 = -4*v, -3*j = -2*v + 2*j + 92. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oonbbofbobpfooo. Give prob of picking 2 b and 2 o.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**3\/3 - 24*p**2 + 186*p + 756.\nAnswer: -2*(p - 9)*(p + 3)*(p + 42)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = -g + 16. Let p = -30 + 29. Let v = g - p. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f + 3*s + 110 = -111 + 201, 3*f + 4*s - 13 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 l when two letters picked without replacement from {x: 3, l: 4, h: 5, n: 6, c: 1, o: 1}.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 3, h: 1, j: 1, e: 5, k: 1}. Give prob of sequence ksej.\nAnswer: 1\/528","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57 = 2*f - 21. Suppose 2*x + 2*i + 16 = 5*x, 7 = x - i. Let b be (12\/f)\/(x\/(-9)). Solve -7 - b = -2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 248072.04 milliseconds?\nAnswer: 4.134534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 293*5\/4 - (-15)\/20 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1315859, 1315853, 1315837, 1315805, 1315751, 1315669, 1315553, 1315397?\n\"Answer: -c**3 + c**2 - 2*c + 1315861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 874.0587 grams in tonnes?\nAnswer: 0.0008740587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52\/7*-3*28\/(-24) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**3*h**(1\/7)*(h**(-1)*h)**(-3\/35) assuming h is positive.\nAnswer: h**(22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 5  (b) 4  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 18 in 661, 1\/7, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 371?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -5 + 15. Suppose 5*r - y*w - 1 = 1, 2*r + 12 = 4*w. Factor -200*m**3 - 12 + 10*m**2 + 188*m**3 + 12*m + 3*m**4 - m**r.\nAnswer: 3*(m - 2)**2*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f**3 - 12*f**2 + 10*f - 24. Let k be y(-13). Suppose -145*l = -148*l - k. Is -3 + 635 + l\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = 22 - 2, -20 = 2*j + 5*x. Suppose 2*n - 6*n + 20 = j. Solve 5*b - 15 = 5*m, n*m - 8 = 2*b - 20 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-513)\/114*22\/(-1). Let p be (u\/44)\/(52\/(-16) + 4). Suppose 2\/3 - 2\/9*h**p - 14\/9*h + 10\/9*h**2 = 0. What is h?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*u**4 - 40*u**3 - 14384*u**2 - 323040*u - 1065600.\nAnswer: 4*(u - 74)*(u + 4)*(u + 30)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -2*w + 4. Let y = -80 + 85. Suppose y*q - 3*x + 0*x = -21, 2*x - 4 = 0. Let s(d) = d - 31. Let u be s(32). Let r(t) = -t + 1. Give q*r(h) + u*m(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 128, -7, 16\/3, -1\/2, 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -13, -688, 0.5?\nAnswer: -688","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 1529*b - 37990. Determine n(24).\nAnswer: -1294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 165\/((-6975)\/3534*19)\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 0 + 2*y + (-3 + 5 + 0)*(-2*y + 0 + 0) - 3*y + 4*y + 0*y + (-73715 + 73715 + 185*y)*(3 - 1 - 5) to the form f*y + b and give f.\nAnswer: -556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**3 + 10*b**2 + 21*b - 17. Calculate w(13).\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j - 6 = -83*c + 84*c, -5*j + 5*c + 10 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3297854 take away -3?\nAnswer: 3297857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -6*z**3 + 51*z**2 + 14*z - 5. Let o(h) = -7*h**3 + 49*h**2 + 14*h - 5. Let l(u) = -3*k(u) + 2*o(u). Let d be l(14). Solve -3*w - d = 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 2 h when four letters picked without replacement from oqoqqqhqooqqqoohyqoo.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -285, -438, -579, -702, -801, -870, -903, -894?\n\"Answer: u**3 - 160*u - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 3*r + 1. Suppose 2*g = -4*t - 9 + 29, 3*g + 10 = 2*t. Is r less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -18 + 16. Let d(n) = -4*n - 6. Let f be d(j). Suppose 3*a - 12 = 3*r, 3*a = f*r + 9 + 2. Solve -a*q - 2 = 8*t - 3*t, t = 3*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 106 + 626 = 0. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**0)**(-3\/52)*a*a\/(a*a**(-1\/8))*a*a**(3\/7) assuming a is positive.\nAnswer: a**(143\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 744 + -1573\/2. Find the common denominator of 85\/4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 8*l**4 - 2876*l**3 - 1422824*l**2 - 13264036*l - 6276672 = 0. What is l?\nAnswer: -272, -9, -1\/2, 641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 668 and 132932.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 277\/116 + -4\/29. Calculate the common denominator of -93\/10 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuuuuhuulhlu. Give prob of sequence hhu.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -2 + k**2 - 5*k**2 - k**3 + 0*k**2 - k. Let s(d) = d**3 + d**2 + d + 2. Suppose -2*v = 5*a + 6, -5*a + 3*a + 3*v = 10. Let n be s(a). Give z(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -12382320 smaller than -12382318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 217, 205, 187, 163, 133, 97, 55?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 - 29 = -5*j. Let p be 3*1 + j\/(-9). Let a(v) = 4 + 2*v - 4*v + p*v - v. Determine a(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = 2*z - 4. Suppose 0 = h - z*h + 5. What is the common denominator of 149\/12 and ((-28)\/(-20))\/((-18)\/h)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 16207480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -2*f - 1. Let a(w) = w**3 - 6*w**2 - 10*w - 11. Let h be a(8). Suppose -7*y + 47 = -h. Let v be 6 + 5\/((-15)\/y). What is u(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -200269*q + 166693*q + 774821*q.\nAnswer: 741245*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -42926, 12, -39.\nAnswer: -42926, -39, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6536 and 842327?\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1166, -1253, -1354, -1475, -1622, -1801?\n\"Answer: -b**3 - b**2 - 77*b - 1087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3921597870 rounded to the nearest 100000?\nAnswer: -3921600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 35 and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 70687 to the power of 1\/2, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r = -7*r + q + 12, -5*r + 18 = q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b\/(b**(-2\/7)\/b)))**(12\/11)*(b*b**(-1\/4)*b)**(-8))\/((b*(b**8*b)\/b)\/b**3)**50 assuming b is positive.\nAnswer: b**(-24286\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -53 - 12?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 64 - 64.27. Let x = -0.13 + r. Put x, 1, 0.5 in ascending order.\nAnswer: x, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (5 - 4)*(-5)\/1. Let w = m - -8. Factor -w + 7 + 4*v + 4 + 2*v**2 + 4*v.\nAnswer: 2*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**3 + 2406*i**2 - 3596*i - 2400.\nAnswer: -2*(i - 600)*(i - 2)*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/(12\/(-80)*2) + -8. Solve f*u + 5*x = 2*x + 16, -5*x + 20 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**2 + 5*f + 2. Let g(j) be the third derivative of -j**4\/8 - j**3\/6 - 6*j**2 - 506*j. What is 5*g(t) + 2*v(t)?\nAnswer: 2*t**2 - 5*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 17 - 4 = -4*q, 5*q - 2*t - 18 = 0. Suppose 19 = -q*o + 31. Solve 0 = -o*i - 5*n - 34 + 14, n + 16 = -3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 1251\/4, -1\/3, 2\/15, 0.4.\nAnswer: -0.5, -1\/3, 2\/15, 0.4, 1251\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 2*n**3 - 4*n**2 + 37. Let x be s(15). Let t = 9896 - x. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 - 3 - 1)*(-2*x + 5 - 5) + 2*x + 3*x - 4*x + 6*x + 1 - 1)*(-3 + 5 + 6).\nAnswer: 88*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**3 - 30*k**2 + 105*k - 21. Let j be i(26). Suppose -2*d - 1 = 1. Let v be d\/(-4) + (-22)\/(-8). Solve -18 = j*s - v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**3 - l.\nAnswer: l*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 335867371069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 1)*(0 + 4 + 0)*(-f + 3*f - f).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -8.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11 + 11. Let v = 2 + m. Let n = v - 2.2. What is the biggest value in n, 0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6c8898 (base 14) in base 3?\nAnswer: -20222120100022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 152*o**5 - 16*o**3 - 8965*o.\nAnswer: 3040*o**3 - 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -3*t + 7. Let v(a) = -2*a + 26. Let x = 25 - 14. Let b be v(x). Let h be m(b). Is h at most as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes before 2:45 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/8*2*23\/(2254\/(-28))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 + 3*w**3 + w**3 - 2*w**3 + (-8 + 1 - 4)*(-3*w + 3*w + 17*w**3).\nAnswer: -185*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 28.1328 - 0.0328. Let l = -29.1 + o. Which is the nearest to -1?  (a) l  (b) 3  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -6, 1, -9 in descending order.\nAnswer: 4, 1, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -109 minus -8.0129?\nAnswer: -100.9871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 4*y**2 - 2*y - 9. Let i be x(4). Which is the closest to -1\/6?  (a) -1  (b) 3  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9036 is divided by 1018?\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1625917 and -2.29315.\nAnswer: 1625914.70685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from anuuusuuaununuaunaua. Give prob of picking 2 u, 1 a, and 1 n.\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -22551*h + 7. Let o(n) = 54127*n - 17. Calculate 29*m(f) + 12*o(f).\nAnswer: -4455*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 a when two letters picked without replacement from {o: 6, a: 2}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-5\/4)*b**(-7)*(b\/b**(1\/4)*b*b)**(2\/3) assuming b is positive.\nAnswer: b**(-77\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12558 is divided by 3960.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -19*w**2 + w. Let l(q) = -2*q**2. Determine l(o(x)).\nAnswer: -722*x**4 + 76*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**3 + 2*m**2 - 2*m + 3. Let a = -3 + 0. Let n be h(a). Solve n = 3*b + 2*b - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8468238*j**3*z + 2*j**2*z - 2829*j**2 + 2*z - 169 wrt j?\nAnswer: -50809428*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-10)\/i*(i\/i**(-8))\/i)\/(i\/(i**3*i))**(-15))**5 assuming i is positive.\nAnswer: i**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4 + -5 - 36\/(-12). Let g(u) = -u + 5. Let w(q) = -q. Determine z*w(h) - g(h).\nAnswer: -h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 104\/7 or -153.946?\nAnswer: -153.946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*t**2 - 2*t**3 - t**3 + 26 + 3*t - 24 as m*t + x*t**3 + j*t**2 + d and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(-1) + (-42)\/(-12)*6. Is ((-12045)\/(-12) - (-5)\/q)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -3 + 6*z + 0*z - 10*z. Let o(g) = -36*g - 28. Let y(t) = 6*o(t) - 56*q(t). Let i(d) = d**2. Calculate i(y(n)).\nAnswer: 64*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15*o**2 + 2*o**2 - 5*o**2)*(-2*o**3 + 4*o**3 - 5*o**3).\nAnswer: 54*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-40)\/(-30)*(-3)\/38?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**2 + 7*u + 15. Let h be o(-5). Suppose h*j - 35 = -5*n, -4*n + 6 = 3*j - 13. Suppose 3*l - 3 - j = 0. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -148512 divided by -42\nAnswer: 3536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 - 131730\nAnswer: -131730.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is g in 2*g**4 + 54*g**3 - 198*g**2 - 550*g - 300 = 0?\nAnswer: -30, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 882 and 29862?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 38\/((-4)\/(16\/(-4)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 + 0. Suppose -n - t = -29. Suppose 6*h - n = 4*h. Solve 1 = b - i, 4*i + h - 2 = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 63*f + 5. Suppose -3*m + 5*p + 852 = f, 3*m = 6*m - p - 840. What is the greatest common divisor of 465 and m?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**17*k\/k**(-13))\/((k\/k**3)\/(k**13*k)) assuming k is positive.\nAnswer: k**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -91?  (a) 3\/14  (b) 0.4  (c) -0.3  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -655 - -652. Let g = -0.1 + -0.9. Which is the nearest to g?  (a) p  (b) -1  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -22*m - 41. Let t be d(-2). Let v = 1 - 1. Suppose v = -j - t*j. Do 1\/34 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 30, 53, 74, 93, 110, 125?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8658 and 9048572.\nAnswer: 81437148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 17074 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0.492*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 13*o**3 - 3*o**2 - 4*o + 10. Let a(l) = -9*l**3 + 2*l**2 + 3*l - 7. Give -7*a(f) - 5*d(f).\nAnswer: -2*f**3 + f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bwub when four letters picked without replacement from {r: 1, u: 1, w: 1, b: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 14*t**2 + t. Let q(r) = -44*r**2 - 4*r + 2. Calculate -q(d) - 5*z(d).\nAnswer: -26*d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.07 - -0.47. Let k = -0.44 + i. Let h = 0.06 - k. Which is the second biggest value?  (a) h  (b) -0.7  (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w + 2. Suppose -4 - 1 = -y. Let q = -3 + y. Suppose 0 = -g + 6 - q. Calculate s(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -12  (b) -2\/3  (c) 106  (d) 0.06  (e) -0.05  (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*p**4 - 67*p**2*t + 44*p*t - t wrt p?\nAnswer: 24*p**2 - 134*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - (-5 + 5)) + 27 - (13 - -12 - 16).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0, -3, 5, 139, 2, -55 in descending order.\nAnswer: 139, 5, 2, 1, 0, -3, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 582 is divided by 136?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73773 is divided by 697?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 171989 and 93398?\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -13*-12793258\nAnswer: 166312354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 624 a factor of 387347808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = 4*p - 56. Suppose y - 11 + p = 3*q, -4*y = -4. Suppose -q = -2*i - 2*a, i + 4*i - 4*a = 24. Solve s - w = 0, s + 3*w + 0*w - i = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*o = 64*o + 630. Let m = -38 - 22. Let p = o - m. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 2816 = -6*o. Let m be (-4)\/(-10) - o\/(-40). Suppose 4*z - 23 - 13 = -2*i, -i = -2*z + m. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -0*x - 99. Let c = x - 46. Suppose -3*h + 2*h + 2*j = -c, 5 = j. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 5980?\nAnswer: 17940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x + 40. Determine f(-19).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -124 = -3*v + v. Let m be (-28)\/154 - v\/22. Is (-881)\/m + 12\/(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3 and -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-9))\/((-6)\/(-36)*-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*g + 3 - 3 + (3*g - 3*g - 2*g)*(0 + 0 + 2))*(-10*g**2 - 2*g**2 + 2*g**2).\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h**3\/7 + 338272*h**2\/7 - 2043404502*h + 4086615708 = 0. Calculate h.\nAnswer: 2, 84567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (2*(sqrt(1100)*-4 + sqrt(1100) + 2 - 1*(sqrt(1100) + 0 - sqrt(1100))))**2 + -3 + 1.\nAnswer: -480*sqrt(11) + 39611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-2 - 2)\/12)\/(-1) + (-14)\/(-3). Solve -2 = 6*d - p*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.68*-3.\nAnswer: -2.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 241032.\nAnswer: 2, 3, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*t - 180 - 163 = 0. Let x = 68 + t. Calculate the remainder when 63 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**2 - 17*i + 13. Let v be n(16). Is v\/(-24) - (-2691)\/104 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 318.8107 grams in milligrams?\nAnswer: 318810.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -3*q**3 + 103*q**2 - 33*q - 32. Let j be v(34). Solve 2*b + 4*d = 4, -b - 4*d + 2 = j*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/45*-5*(-4)\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o. Suppose -3*g = -0*g + 27. Let l(t) = -5*t. Determine g*m(h) - 2*l(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -5*z**2 - z**2 + 3 - z**2 + 388*z - z**3 - 398*z. Let t be n(-5). Suppose 0*x**3 - 6*x**3 + 2*x**3 + 12*x + 5 + t = 0. What is x?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -70*a + 2 - 207*a**2 - a**4 + 69*a**2 + 68*a**2 + 72*a**2 as k*a**2 + z*a + u*a**3 + c + f*a**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (180\/63)\/((8\/7)\/4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 2*x**3 - 4*x**2 - 3*x + 3. Let h be g(2). Let t = h - -5. Suppose t = -y + 6. Solve 0 = 3*z, -y*b - z = z - 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s = -0*s + 594. Does 34 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 641 minutes after 5:55 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11444.5 + 11444. Which is the nearest to 0.6?  (a) 3  (b) 0.4  (c) p  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 5*d**2 - 5 - 21*d + 13*d + 2*d**4 + 3 to the form c*d**2 + g*d**3 + h*d + z*d**4 + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - 5 - ((-7 - (-32 - -7)) + -20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59105 is divided by 3494.\nAnswer: 3201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, a: 2, b: 2}. Give prob of sequence aa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 553013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -18\/7 and -55\/259.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 3*p**2 + 3*p. Let o be f(-2). Let m(d) be the first derivative of d**2 - 6*d - 6. Let c be m(4). Solve k - 18 = -c*j - 4*k, 2*j + 2*k = o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eee when three letters picked without replacement from eeeeeseeeeeeeee?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**7*w)\/w*w**(-2\/39))**(-3\/11)\/(w**(1\/7)\/(w\/(w\/(w*(w\/(w**(-11)\/w))\/w))))**43 assuming w is positive.\nAnswer: w**(551513\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1 - -1)\/((-4)\/4*-4). Suppose 27 = 5*f + 2, z = -2*t + 2*f - 4630. Round t to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the third derivative of 0*i**3 - 2*i**2 + 10\/9*i**4 + 5\/18*i**5 - 1\/42*i**7 - 55*i - 23\/72*i**6 + 0. Find t such that s(t) = 0.\nAnswer: -8, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0009012835 rounded to 6 decimal places?\nAnswer: 0.000901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 24 - 18. Suppose -4*x - 44 = -m*x. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 40 and 160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.4, -4\/5, 95, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -451 - 7 = 46*y - 44 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 3*g - 6 = 0. Let f = 2 - g. Suppose 2*m = j + 10, -2*m + 12 = f. Let k(w) = 3*w**2 + 4*w + 3. Determine k(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 19 = 39. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78 = 5*t - 2*y + 5*y, -5*t + 4*y - 106 = 0. Sort t, -7, 0 in descending order.\nAnswer: 0, -7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/13 in -0.94, -197, 3?\nAnswer: -0.94","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 6 = -5*j, 0 = -4*q - 10*j + 14*j + 48. Which is the closest to -2?  (a) 0.02  (b) -2  (c) -1  (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = 5*d - 8, 4*d - 19 = -3*w. Suppose -2*f - 2*r + 13 = w, f + 2 = r. Let l(a) = -2 + 2 + f*a - 3*a + 4. Calculate l(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 29 - 82\/3. Let r = 3.04 + -3. Let s = r + -0.44. What is the closest to -1\/2 in m, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -100*a**2*w**2 + 13662*a**2*w + 2*a*w**3 + 4847*w**3 - 2*w - 55 wrt w.\nAnswer: -200*a**2 + 12*a*w + 29082*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/25405826 and -19\/18.\nAnswer: 228652434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -4*a + 3*a. Let v be a\/((-2)\/(-6)*-1). Which is greater: -0.1 or v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -2*s**3 + 36*s**2 - 38*s + 69. Give z(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1\/(-2))\/(-2 + 0). Let g be (5 - (0 + -3))*(-4)\/(-8). Let w be 705\/47*(g\/(-10) - -1). Is w less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 14*h**2*l**3 + 163*h**2*l + 40*h**2 - 430*h + 2*l**3 - 11 wrt h?\nAnswer: 28*l**3 + 326*l + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are 6\/17 and 1535 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -18*r + 96. What are the prime factors of s(-18)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 2*a**2. Let m(v) be the third derivative of -7*v**4\/24 - 19*v**2. Calculate m(s(p)).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7610963365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -3*h - 4. Let p be k(-3). Let j(u) = 7*u - 2. Is j(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-1*sqrt(66)\/(sqrt(6)*6))**2.\nAnswer: -55\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -4412*u**2 - 4. Let j(y) = 15065*y. Calculate j(q(s)).\nAnswer: -66466780*s**2 - 60260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 15555553 + -12?\nAnswer: 15555541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 835*g + 509*g + 105*g + 512*g + 76*g - 228*g.\nAnswer: 1809*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -161879430 rounded to the nearest one hundred thousand?\nAnswer: -161900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a + 0*a - 3*a)*(-a - 10*a + a) + 2*a**2 - 3*a**2 + 4*a**2 - 2*a**2 + a**2 + 2*a**2.\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (((-6)\/(-7))\/(-2))\/(24\/84)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times -755?\nAnswer: 75.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**(-13)*i)**25)**(-5\/8) assuming i is positive.\nAnswer: i**(1375\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40 = -20*y + 5*s, -5*s - 8716 = 3*y - 8745 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 2*f**2 + 2)*(3*f**2 - 28*f**2 + 3*f**2 - 33*f**2) in the form m*f**4 + t*f**3 + y*f + a*f**2 + o and give m.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12831761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the first derivative of 3*w**2\/2 + 54. Let n(p) = p - 2. Let j(u) = -2*u + 3. Let k(y) = -2*j(y) - 3*n(y). Give g(k(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(130) - (sqrt(130) - ((sqrt(130) - (3*(sqrt(130) - (sqrt(130) + sqrt(130)*3)) - sqrt(130))) + sqrt(130))))\/((sqrt(10) - -1*sqrt(10))*1).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r - 5. Let g be z(5). Which is the second smallest value?  (a) 3  (b) 5  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 2*j = -233, -2*s - 2*s + 4*j = -316. What is the highest common divisor of s and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 90.7*1.51\nAnswer: 136.957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -8*j**3 + 177*j**2 - 26*j + 153. Let u be t(22). Calculate the highest common divisor of u and 1586.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes after 10:29 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h - 3*h + 6*h)*(-645*h**4 - 380*h**4 + 503*h**4) + h**5 - 2*h**4 + 2*h**4 + (-3*h**2 + h**4 + 3*h**2)*(-2 - 2*h + 2).\nAnswer: -523*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((13\/(-10))\/13)\/((-40)\/(-200))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - 12 = -3*c. Suppose 3*t - 3*m = 54, 2*t + 9*m - 64 = c*m. Let f = 34 - t. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -1331986.275 - 0.017.\nAnswer: -1331986.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) -125  (c) 9\/147020  (d) 0.5  (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.76 and 5.\nAnswer: 8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -n**2 + 209 + 223 - 426 as d*n + y*n**2 + j and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15 + -16. Let v be ((-2)\/(-4)*i)\/(5\/160). Let f = 73 + v. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**3 + 4*y**2 - 3*y - 3. Let g(d) = -d**2 - 5*d - 3. Let f be g(-2). Suppose 5*n = 2*w + 7, -2*w - 1 = -f*n - 0*w. Let r = n - 0. Calculate j(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 31 and 1339758?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 300, -35, -5, 3 in descending order.\nAnswer: 300, 3, 2, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/5044 and -67\/195?\nAnswer: 75660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the second derivative of g**3\/6 + 6*g**2 - 7*g. Calculate the remainder when 35 is divided by q(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -146, 77, 14, 4, 0, -34 in decreasing order.\nAnswer: 77, 14, 4, 0, -34, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -6 - -14 - (-629)\/111. Let p be (4 - (-21)\/(-6))*12 + -2. Determine j, given that 0 - 1\/3*j**2 - 2\/3*j + u*j**3 - 20\/3*j**p = 0.\nAnswer: -1\/5, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -25968 - a**3 + 52340 - 24550 as h*a + l + j*a**2 + i*a**3 and give l.\nAnswer: 1822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 359807, 359789, 359769, 359747, 359723?\n\"Answer: -b**2 - 15*b + 359823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from titqqiiiittqt. Give prob of sequence iiti.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + (sqrt(605)*2 + -3)*2 + -2)*-2 + 4)**2.\nAnswer: -4224*sqrt(5) + 39296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 244404 or 243127?\nAnswer: 243127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 111*p - 2*p**2 + 103*p - 214*p. Let g(m) = -m**2 + 61. What is g(h(o))?\nAnswer: -4*o**4 + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*j + 2*j + 2*j + (0 + 2 - 4)*(4*j + 0*j - j) - 9*j - 5*j + 3*j.\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 13, 3, 134, -3 in decreasing order.\nAnswer: 134, 13, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -4*c**3 + 2*c**2 + 2*c + 7. Give m(-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -853*b - 385 = -877*b - 25 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 times -11359?\nAnswer: 2271.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 95393 (base 15) to base 3\nAnswer: 220001021010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*q - 429 = 813. Let v = q - 133. Solve 0 = -3*r + 14 - v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -9\/5980 and 43\/12.\nAnswer: 17940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 251775 divided by -6\nAnswer: -83925\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 128, 136, 146, 158?\n\"Answer: h**2 + 5*h + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -37342 and 0.109.\nAnswer: -4070.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8 - -3. Let b = -8 - -3. Calculate the lowest common multiple of u and b - -2 - -1 - -12.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 1.71, 0.32, -3\/62, -2\/9?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.04*-10.823\nAnswer: -0.43292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 803 + -804. What is the closest to 1\/4 in -17, 18, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 283092 divided by 6?\nAnswer: 47182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2*f - 1)*(-9*f**2 + 11*f**2 - 9*f**2) + f**3 + 4*f**3 - 3*f**3.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + (-10 - (-1 - 4)) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-784)\/(-144) + -6)\/((-4370)\/(-276))?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1206 by -10.\nAnswer: -603\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xuuh when four letters picked without replacement from uhuhhxxurhrhxrg.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -4*c**4 + 120*c**3 - 1108*c**2 + 3120*c - 2704 = 0.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k + 1 - 1)*(-54 + 2 + 3)*(-4 + 0 + 2).\nAnswer: -196*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the first derivative of 10*a**5\/9 + 40*a**4\/9 - 152*a**3\/27 + 16*a**2\/9 - 65. Factor w(d).\nAnswer: 2*d*(d + 4)*(5*d - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:43 PM and 8:56 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the third derivative of 1241*y**7\/210 + 187*y**5\/12 - 2*y**2 - 20*y. What is the third derivative of b(h) wrt h?\nAnswer: 29784*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 69045397.\nAnswer: 47, 137, 10723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 2 + 2*p**2 - 20*p**2 - 22*p**2 + 14*p**2 + (-1 + 1 + p)*(0*p - 2*p + p) - 2 + 2 - 8*p**2 as u*p**2 + b*p + a and give u.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 56*j**3*r**3 - 15*j**3*r - j**2*r**3 - 106*j**2 wrt j?\nAnswer: 336*r**3 - 90*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**3 - 24*v**2 + 67*v - 620. What is q(17)?\nAnswer: -1504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69*d - 14231 = -11540 for d.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 3*a. Let c(r) = 7*r - 4*r - r + 2*r. What is 6*c(j) - 7*p(j)?\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 660882?\nAnswer: 2, 3, 23, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the first derivative of 61*d**3\/3 - 5*d**2\/2 + 7*d - 131. List the prime factors of x(2).\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*v**3 - 24*v**3 + 765 - 1511 + 747.\nAnswer: -36*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -10*f**2 - 183*f + 100. Is i(-8) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 786?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -3*b + 17. Let m be h(9). Let v be 20\/40 + m\/(-4). Solve -v*i - 2*n = 2, 2*i - 2*n - 2 = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -347 + 175 + 172 + 11*o. Suppose -42 = -8*h + 46. Let g(z) = -33*z + h*z + 21*z. Give g(y(w)).\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -138 - 66 = -3*v. Let o = 48 - v. Let f = 29 + o. Solve -25 + f = -4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 60 + 46. Suppose 3*h - t = w, -3*w + 8*w + 20 = 0. Calculate the highest common divisor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (11*b - 4 + 6*b - 16*b)*(3*b**2 - 5*b**2 - 3*b**2) in the form d + u*b + w*b**3 + n*b**2 and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 98*f + 103*f + 106*f - 513*f + 103*f + 105*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1555*f + 1568*f = -117 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 142 or 195?\nAnswer: 195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 333 - -13021?\nAnswer: 20020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**2\/5 + 1522*p + 15228\/5.\nAnswer: -2*(p - 3807)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 4*w**4 + 16*w**3 - 12*w**2 - 72*w = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 1 = n, 5*s + 2*n = 4*n + 5. Suppose 5*z + s*c = -56, 0 = -2*z - 2*z + 5*c - 67. Is z <= -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 43*p**3 - 124*p**3 - 131*p**3 + 404*p**3.\nAnswer: 106*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7166596 and 290?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 16) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/1461, -196, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -221.78455254 - -0.5.\nAnswer: -221.28455254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 31145235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7, 19, 19, 1, -41, -113?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -2, 112, 2, -5, 6, 0.5?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.08 - 0.15. Let a = y - -2.07. Let g be 1\/3*18\/8. What is the nearest to -1 in a, g, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 4*g**3 - 67560*g**2 - 202708*g - 135144 = 0.\nAnswer: -2, -1, 16893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -42332305 (base 6) in base 4?\nAnswer: -10232323301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-14)\/28 - (-17)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -300 + 1079. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.246 - 0.126. Let v = -239 - -234.88. Let p = v + o. Which is the third smallest value?  (a) 0.3  (b) p  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3041*f**3*v**3 - 3*f**3*v - 8*f**3 + 155*f with respect to v.\nAnswer: -9123*f**3*v**2 - 3*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -15 - -15. Let l = -4 - -4. Suppose l = 5*p - u*p - 60. Which is smaller: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9039755 - 6799.\nAnswer: -9046554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/(-432)*188\/(-47)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 22048736?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -3, -6, 1, 2 in descending order.\nAnswer: 5, 2, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 63944 divided by 2\nAnswer: 31972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17)\/(-663)*39*25\/(-1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 597042 and 33538.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 - 2474045?\nAnswer: -2474050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 4*s = 3540. Suppose s = f + 2*f. Round f to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4\/(-10))\/((-4)\/20). Let m = 7\/12 + -25\/84. Factor 0*b**y + 0 - m*b**3 + 2\/7*b.\nAnswer: -2*b*(b - 1)*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8 - -24. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29375 - 17*v**2 - 29375.\nAnswer: -17*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = 7*a - 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 2*u**2 - 20*u - 40. Give k(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -24.2 + 24.5. Which is the fourth smallest value?  (a) 1  (b) u  (c) -1\/11  (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 13*o - 4. Let u be q(2). Suppose -3*n = -3*a - 6, n - 4*a + u = 3*n. Solve -15 = -0*k - n*k, 2*k = 3*i + 18 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -176*c + 6 - c**2 + 175*c + 5 in the form s*c**2 + u + o*c and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 22*f**2 - 62*f - 3156. What is the hundreds digit of d(-56)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14976736 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -2*f**3 - 12*f**2 - f - 3. Let t be q(-6). Let g(u) = -11*u**2 - 3. Suppose -20*n = -97*n - 154. Let p(o) = -10*o**2 - 2. Give n*g(x) + t*p(x).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -20 + 45. Suppose -2*h = 3*h - a - 52, 4*a = -2*h + 12. What is the greatest common divisor of m and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = -110*f + 91*f. Which is the biggest value?  (a) f  (b) -13  (c) 2.1  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.75102 micrograms to nanograms.\nAnswer: 1751.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 156791?\nAnswer: 17, 23, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2949*z**2 + 12*z - 2*z - 10*z.\nAnswer: 2949*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*-5*((sqrt(684)*2 + -5 - sqrt(684) - sqrt(684)) + sqrt(684))**2.\nAnswer: -14180 + 1200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5441285 decades in months?\nAnswer: 65.29542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 321, 1277, 2883, 5145, 8069, 11661?\n\"Answer: x**3 + 319*x**2 - 8*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 64*j**2 + 9*j - 23*j + 14*j + 76*j**2 + 77*j**2.\nAnswer: 217*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of -1 + 4 - (-4 + 1) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is ebe - 550?\nAnswer: 96e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u = 6*u - 28 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-34 + 53 + 61)*(-3*w**2 + 2*w**2 + 3*w**2).\nAnswer: 160*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 24 = -4*g, 0 = -4*f - 2*g + 4*g + 6. Let s(v) = v**3 + 3*v**2 + 2*v + 1. What is the remainder when s(f) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 177 = 5*o - 2*z, -661932 + 661804 = -4*o + 5*z for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -620*y - 179. Is r(-32) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 12 + -5. Suppose -16 = -2*t + 3*b, -t - 3*b + 17 = -0*t. Suppose -t = -2*c + 13. Calculate the remainder when c is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33 = -2*z + 5*r, -6*z + r = -2*z - 21 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 - -36. Let s(v) = v + 4. Let d be s(-5). Let t(z) = -11*z. Let g be t(d). What is the greatest common divisor of f and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**3 - x**2 - 5. Let a be j(-3). Suppose -5*s + 2*n = -2*s - 14, -2*s + 5*n + a = 0. Solve s = -2*z + 3*i - 9, 2 = 2*i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*r**4 + 2*r**4 + r**4)*((1 - 5 + 3)*(-2*r + 3*r - 3*r) + 5*r - 2*r - r + (-56 + 58 - 108)*(7*r + 14*r - 19*r) - r + r - r).\nAnswer: 418*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the first derivative of b**5\/12 - 5*b**4\/6 + 5*b**3\/2 + 3*b**2 - 6. Let t(h) be the second derivative of g(h). What is p in t(p) = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 3*n**2 + 513. Let m(c) = 22*c + 7. Let g(v) = -9*v - 3. Let o(f) = 7*g(f) + 3*m(f). Determine d(o(h)).\nAnswer: 27*h**2 + 513","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**3 + 11919*u**2 - 35125104*u - 2333764160.\nAnswer: -(u - 5992)**2*(u + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -5*r**3 - r**2 + r + 1. Let q(i) = 51*i**3 + 7*i**2 - 26*i + 35. Let u(j) = 10*k(j) + q(j). Give u(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:22 AM and 12:35 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81 is divided by (725\/50 - 8)*4\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 + 12 = 4*a. Suppose -5*w + 10*w = -a. Let t be 1\/1 + 3\/(-5). What is the smallest value in w, t, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2892430 greater than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*(36\/(-6) + (-244)\/(-40)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -407.72253 + 6.\nAnswer: -401.72253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -22040 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*l - 40*l = 532. Suppose -l*n + 29*n + 180 = 0. Let u be (0\/(-2))\/(4\/2). Solve u = 4*f + f + n for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 75635, 75665, 75715, 75785, 75875, 75985?\n\"Answer: 10*w**2 + 75625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**6*l**(-2\/3)*l)**(-2\/9))**(-47) assuming l is positive.\nAnswer: l**(1786\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/((-126)\/35)*(-1)\/(-2)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -145*u + 2314 = 41*u - 1034 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-1)\/27)\/(14\/6))\/((-2688)\/6272)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bmmmrrbrhrrrbbbm. What is prob of picking 1 r, 1 b, and 1 m?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a micrometer in nanometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 522.0922 hours in nanoseconds?\nAnswer: 1879531920000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d**5 + 453640*d**4 - 453608*d**3 - 6804524*d**2 - 10433654*d - 4536380 = 0. Calculate d.\nAnswer: -2, -1, 5, 226819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*sqrt(84))\/sqrt(3) - sqrt(21)\/(1*sqrt(3)*-3)) + 4 + 6*1*sqrt(7)*5 + -3.\nAnswer: 1 + 127*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - 5*v + 25 = 0. Let f = 9 - v. Solve -f*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k + 1. Let f(m) be the second derivative of 5*m**3\/2 - 6*m**2 + 26*m. What is -f(p) - 12*x(p)?\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10184 - 5520. List the prime factors of g.\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8513480 is divided by 377.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -3*d + 330000. What is d rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 30.06273 years?\nAnswer: 0.03006273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21, 5, -2113.\nAnswer: -2113, -21, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 75, -36, 3, -1, -4 in decreasing order.\nAnswer: 75, 3, -1, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:39 PM and 6:23 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21 + (-10 - (10 + -11))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 439471077 to the power of 1\/3, to the nearest integer?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -2*m**2 + 33*m + 86. What is o(19)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4400 and -0.01418.\nAnswer: -62.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 2 i when three letters picked without replacement from {i: 3, u: 3, d: 12}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -280879 greater than or equal to -280879?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 718 and 632558.\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:12 AM and 7:00 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**(1\/5)*o)\/o)\/o**(-20))\/(((o**11*o)\/o*o)\/o)**(-12\/13) assuming o is positive.\nAnswer: o**(1973\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -63384 divided by 31692\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:52 AM and 4:58 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -3032231 (base 4) in base 14?\nAnswer: -4b6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -127*z + 9. Let i be d(-2). Suppose -2*j + i = n, 4*n = -2*j - j + 382. Is 17 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((6\/90)\/((-8)\/10))\/(6\/16)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1795706 divided by 14\nAnswer: 897853\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 640.3 - 671. Round i to 0 decimal places.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 114268*j**2 - 228547*j**2 + 114277*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -37*t + 290. Calculate o(-10).\nAnswer: 660","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = u - 6*u - 15, -y - 5*u = 15. Suppose 0 = -4*p - 28*p - y*p. Solve p = -3*g + 9*g - 18 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**2. Let f be (-2)\/4*(-5 - 1). Let m(o) = f*o + 2*o + 3*o - 5*o. What is w(m(a))?\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nzm when three letters picked without replacement from {z: 3, n: 1, y: 1, e: 1, m: 7}?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 43777061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 208 a factor of 2617692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the second derivative of -c**7\/2520 + c**5\/40 - c**4\/6 - 3*c. Let l(g) be the third derivative of a(g). Differentiate l(z) with respect to z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-21)\/14*(-5 + 3). Find u such that 2 - 2*u**4 - 10*u**s + 3*u**5 + 8*u + 2*u - 3*u = 0.\nAnswer: -1, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 479*z - 783 = 1133 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -56*v**5 + 7*v - 3*v**2 - v**2 + 2*v**2 + 5*v**3 + 47*v**5 wrt v?\nAnswer: -540*v**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 47747, 46511, 44459, 41597, 37931, 33467, 28211, 22169?\nAnswer: 15347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = p - 5*d - 369, -4*p = 5*d - 753. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5\/451692 and 137\/360.\nAnswer: 4516920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 9*j + 299. Let z(f) = -2*f**2 - f. Determine z(g(r)).\nAnswer: -162*r**2 - 10773*r - 179101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**2 - 14*d - 19. Let c be l(-9). Let g = c + -21. Suppose -3*y = -a - 49, -3*y + 58 = y - g*a. Solve 3 = -4*r - y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 21471816441.874655943 + -21471816425. Let g = 0.174656853 - z. Let a = -16.7 - g. Round a to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 4*x - 105 = 0. Suppose -2*g - 3*g = -2*l - x, -5*g + 9 = 2*l. Suppose -9 = -g*o + 9. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9715126218 by 6.\nAnswer: 1619187703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0\/(-2) - ((-36)\/2)\/6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 31 and 47399.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 194*s - 40 = 202*s. Let k(b) = 2*b**2 - 6*b - 86. Let m(p) = -p**2 + 5*p + 87. Let i(u) = s*m(u) - 4*k(u). Differentiate i(j) wrt j.\nAnswer: -6*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**2 - 9*b + 38. What is the smallest common multiple of c(6) and 26?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -20, -24, -28, -32, -36?\n\"Answer: -4*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (-4 - -4) - 8.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**3 + 96*w**2 - 116*w - 132. Is o(-71) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 + -1010111001?\nAnswer: -1010110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16715?\nAnswer: 5, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a\/(a\/a**(-2\/3))))**(-6\/5)\/((a**(-1\/5)*a)\/(a\/(((a*a**5*a)\/a*a)\/a))) assuming a is positive.\nAnswer: a**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1\/14 - 4\/7. What is the third smallest value in 0.2, 0.5, 0.1, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 50\/100*(0 - 4) + 2. What is the closest to -1 in q, -14, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*g + 2 = -13. Let h be 2\/4*(-9 + 10 - g). Is h greater than 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/57?  (a) 1012869  (b) 1  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(612) + -1 + sqrt(612))**2.\nAnswer: -72*sqrt(17) + 2457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the second derivative of -a**5\/30 - 5*a**2 + 12*a. Let c(m) be the first derivative of s(m). Suppose c(n) = 0. What is n?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -102*i**2 - 332*i + 5. Let r(f) = -98*f**2 - 333*f + 6. Let m(a) = -6*c(a) + 5*r(a). What is the second derivative of m(g) wrt g?\nAnswer: 244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/4, 389.151, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -57549 - 732*s**3 - 67706*s**2 + 16872 - 2*s**4 - 133224*s - 30327 + 4756 = 0. Calculate s.\nAnswer: -182, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -44, -186, -422, -752?\nAnswer: -1176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -1083*r - 813. Let j be x(10). Which is smaller: -11644 or j?\nAnswer: -11644","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-v**2 + v**3 + v**2)*(4*v + 2*v - 7*v) to the form c*v + h*v**3 + t + j*v**2 + a*v**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y = -4*x - 42, 1734 - 1709 = 25*y for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 60*m. Suppose -4718*b + 4713*b - 375 = 0. Let p(q) = -5*q. Calculate b*p(h) - 6*n(h).\nAnswer: 15*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (9 - 8)\/((-1)\/(-4)). Let o = 7 - f. What is the units digit of (-4 + o)\/(-5) + 374\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/64035765 and 5\/81.\nAnswer: 64035765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 39, 0, 0.4, 1\/4, 2\/159 in increasing order.\nAnswer: 0, 2\/159, 1\/4, 0.4, 2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2436660 divided by -6.\nAnswer: -406110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 2 + sqrt(200))**2.\nAnswer: 40*sqrt(2) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + -3 + 10 - (-1 + 9 + -5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 9511007 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -214 + 217. Solve 4*t = -o*n + 12, 0 = -3*n - t + 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -44154 divided by 14718.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -246 + 23. Let m = r - -459. List the prime factors of m.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 15) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -7*z + 257. Suppose -h + 2*d + z = 0, -3*h + d = -33 - 65. Let q = 250 - 96. What is the remainder when q is divided by h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the first derivative of -3*w**4\/4 - 4*w**3\/3 - 2*w**2 - 11*w - 137. Let p be s(-2). Solve -4*k = -12, 7*k - p = 5*i + 2*k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (6\/(-4))\/((-9)\/(-6)) - -38602.\nAnswer: 3, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 2 = v, 4*v - 10 = -4*y - v. Let f be y + ((-4)\/14 - (-72)\/7). Suppose w - 2*w = u - 5, -4*w = 2*u - f. What is w rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -2\/131  (b) 0.1  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2227\/2 - -1114. Let t be (-4 + -1)*6\/(-10). Determine h, given that -1\/2*h**t - h**2 + n*h + 1 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**6*j*((j*j*j**(-4\/7)*j)\/j)\/j*j)\/(j\/(j**5*j)*j*j**(-7))*((j*j**0)\/(j**7*j))\/(j\/(j\/(j\/j**(1\/2)))*j**6\/j) assuming j is positive.\nAnswer: j**(97\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v**5 - 85*v**4 - 270*v**3 - 110*v**2 + 275*v + 195 = 0 for v.\nAnswer: -13, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 5*a = 3*f - 31, -4*f = -a + 3. Suppose -3*u = -a*u - 4. Calculate the remainder when (23 + u)\/((-4)\/(-6)) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1021729985?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 21 - 402133?\nAnswer: -402112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -3*y**3 + 2048*y**2 + 4789*y + 4118. What is t(685)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand n**3 - 2*n**3 + 8*n**3 + (-n**2 + 3*n - 3*n)*(3 - 3 - 3*n) + (n**2 + 0*n + 0*n)*(-2*n - 3*n + 6*n).\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(3\/2)\/y**1)\/(y*y**(-3\/7))**21 assuming y is positive.\nAnswer: y**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are 5041 and -79 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 4*s**3 + 111*s**2 + 147*s + 75. Let p(w) = 110*w**2 + 146*w + 78. Let z(r) = -6*o(r) + 5*p(r). Find h such that z(h) = 0.\nAnswer: -3, -1, -5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 2 - 3*g + 3*g**3 + 5.\nAnswer: 3*g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 96959?\nAnswer: 96959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 + 2. Calculate the remainder when 2*3*(891\/(-22))\/(-27) is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**3 - 2*b**2 - 5. Let v be c(0). Let n(t) = 196*t - 59. Let k(x) = 131*x - 40. Let w(g) = v*n(g) + 8*k(g). What is the derivative of w(q) wrt q?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = 5*v - 6 + 15, a - 1 = 2*v. Let t be a + (6 - 1) - -2. Let k = t + -2. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 121600950 = -17*j. Let m be 10\/(-2) - j\/10. What is m rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -23*i. Let s(b) = -45*b. Give -9*j(f) + 5*s(f).\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 4*z = 0, 28*c - 27*c + 7 = 5*z. Put -0.1, -1, -1\/428, c in ascending order.\nAnswer: c, -1, -0.1, -1\/428","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 189 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 4917 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 25528*x - 25484*x - 1804 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -195*b - 178*b - 193*b - 192*b + 766*b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 t and 1 d when four letters picked without replacement from wtdttwtttdtt.\nAnswer: 112\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 3*q + 2 = -0 + 4 - 6, 3*a - 348*q = -1404 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**3 - 3*k**2 + 3*k - 2. Let d(r) = 4*r**3 - 10*r**2 + 10*r - 7. Let t(j) = -7*c(j) + 2*d(j). Give t(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes before 12:11 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -3*v**2. Let p(l) = -12902785*l. Determine p(t(g)).\nAnswer: 38708355*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -3443, -3441, -3439, -3437, -3435?\n\"Answer: 2*w - 3445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -4*s - 2. Let a(q) = -q**2 + 17*q + 8. Calculate 2*a(l) + 9*i(l).\nAnswer: -2*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -258000 divided by 500?\nAnswer: -516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the third derivative of -20*h**7\/21 - 11*h**6\/120 + 117*h**4\/2 - 11*h**2 + 49. Find the second derivative of f(a) wrt a.\nAnswer: -2400*a**2 - 66*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5504*g = -5505*g + 5*b + 129, 2*b = g - 51 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -399, 1, -3129 in ascending order.\nAnswer: -3129, -399, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14 by 1476.\nAnswer: 7\/738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 3614, 8446, 13288, 18146, 23026, 27934, 32876, 37858?\n\"Answer: u**3 - u**2 + 4828*u - 1214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes before 8:26 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + u = 2*d - 104, 3*d + u - 134 = 0. Let m = 56 - d. Let j be 48\/30*m\/4. Solve -l - j*l - 5 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 21 - 18. Suppose -r*s - 15 - 9 = 0. Let g be ((-1)\/s)\/(3\/12). Sort g, -0.5, -2\/13.\nAnswer: -0.5, -2\/13, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 21 + 17 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/1547309 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 578020 and 1734060.\nAnswer: 1734060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 432\/(-22)*(-18882)\/56646?\nAnswer: 72\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2501, 10347, 23423, 41729?\nAnswer: 65265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/5)\/(14\/5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*u + 44*u - 40*u + 0*u + 4*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 3*d + 18 = 0, 596 = 4*q - 3*d + 614. What is the closest to -4\/7 in 6\/5, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*q - q + 4*p + 12, 31 = 4*q - 3*p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the third derivative of x**5\/12 + x**2. Let q(y) be the second derivative of -y**4\/12 + 11*y - 2. What is s(q(a))?\nAnswer: 5*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -12 - 1abc3?\nAnswer: -1abd5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -45 or -275\/6?\nAnswer: -275\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2479731283?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 7*m + 27 + 4*m + 4*m + 0*m - 26*m. Determine l(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*n + 21*n - 44 = 0. Let y = 31 + -20. What is the highest common divisor of y and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**2 - p - 5. Let f be v(0). Let u = 7 + f. Suppose -u*n + 36 = n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 755 a factor of 5559820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 1453689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 - 31 - (0 - 2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13 - 26*h - 3*h**2 + 52*h - 26*h.\nAnswer: -3*h**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 10047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8204 - 4127 - 4077 + 58*t + 113*t + 8*t.\nAnswer: 179*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1553368, -1553370, -1553372?\nAnswer: -1553374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 526*l**2 + 163*l - 9. Is r(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0*(-28)\/420)\/(-21)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7770 - 1591. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33953819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18208 and 11380.\nAnswer: 91040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28298*r = -23850*r + 378080 for r.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**2 + 15*q + 37. Let x be k(17). Suppose -x + 0 = s. Let d(v) = -v**3 - 3*v**2 + 3*v - 1. Give d(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 615, 2358, 5259, 9318, 14535, 20910, 28443?\n\"Answer: 579*v**2 + 6*v + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 60774, 121252, 181732, 242214, 302698, 363184, 423672?\nAnswer: 484162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17 + (-4 - (-14 - -2)) + -2 + 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - 10 - -6 - -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-8)\/((-2)\/103*1). Suppose 0 = 2*d - 5*k - l, -574 + 150 = -2*d - k. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (999\/74)\/(6\/8). Calculate the greatest common divisor of h and 2034.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10)\/(-6))\/(-5*2\/30).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x + 56 = -4*q + 92, 4*q - 43 = 5*x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20981.44 tonnes to micrograms.\nAnswer: 20981440000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -139390058 divided by -583222?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 + 130122531?\nAnswer: 130122523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 175 divide 837725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -65, -103, -141, -179, -217?\n\"Answer: -38*i - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1186248 - 0?\nAnswer: -1186248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 137?  (a) -1\/3  (b) -1\/2  (c) 5  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 3 + 0)*(-26*b + 1 - 1).\nAnswer: 182*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60) - (2*sqrt(600))\/sqrt(10))\/((sqrt(24)*1)\/sqrt(2)) + (5*(0 + sqrt(405)) - sqrt(405) - 3*(0 + sqrt(405)))**2 + 1.\nAnswer: -sqrt(5) + 406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 1 + 2*r)*(3*r**2 + 3*r**2 - 4*r**2) + 1661*r**3 - 319*r**3 + 1019*r**3 + r**3 + 4*r**3 - 2*r**3)*(-2*r**2 + r**2 + 3*r**2) + r**5 + r**5 + 0*r**5.\nAnswer: 4738*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1421, -2853, -4285, -5717, -7149, -8581?\nAnswer: -10013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**2 + 13*k + 26. Let v be a(-11). Let p(m) = -8*m + 6. Let x(q) = -9*q + 7. Let n(z) = -z**2 - z + 7. Let w be n(3). Give v*x(s) + w*p(s).\nAnswer: 4*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 990\/693*7\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes after 9:44 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -17030\/11 greater than or equal to -1548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31381 divided by -5.\nAnswer: -31381\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-3 - (-961)\/9) + (-2)\/(-9) is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**2\/7 + 17282*n\/7 - 9880.\nAnswer: 2*(n - 4)*(n + 8645)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 654 = -2*q, -r + q + 71 = -94. Let k = 485\/3 - r. Let u = 3 + -5. Which is the nearest to k?  (a) u  (b) 5  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/45 + (-6)\/(-27))*(-71890)\/(-3081).\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/1236 and -11\/4.\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -0*j + 8, 0 = 2*c - 3*j + 1998. Let f(b) = -b + 17. Let x be f(23). Is c\/3*3\/x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k - 19. Let f be j(-9). Let q be 1249\/8 - f\/(-80). Let c = q - 85. List the prime factors of c.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 39.6 + -36. Let z = q + -4. Are z and 1\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 137 - 4*a**3 + 7*a**3 - 80214*a + 80214*a - 137.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -32097*a**3*t + 35507*a**3 - t wrt t?\nAnswer: -32097*a**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(1*sqrt(187)*-2 + sqrt(187) + (-1*sqrt(187) + sqrt(187) + sqrt(187) + sqrt(187) + sqrt(187))*2))\/(-5*sqrt(1331)*-1*3)*6.\nAnswer: -10*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 99*g**3*y**2 + 2*g**3 - 2681638*g**2 + 1072*g*y**2 - g*y - 2 wrt y.\nAnswer: 198*g**3*y + 2144*g*y - g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:42 AM and 7:02 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 - 5)*(-2 + 2 - 3*r**2) + 3*r**2 + 2*r**2 - 7*r**2 - 9*r + 2*r**2 + 9*r.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 145, 270, 499, 844, 1317?\nAnswer: 1930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 86514509374 - -0.03.\nAnswer: 86514509374.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 8) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**3 - 5*j**2 - 7*j + 8. Let u be y(6). Suppose -5 - 11 = -4*m - 4*n, -m = -5*n + 32. Put 6, u, 4, m in decreasing order.\nAnswer: 6, 4, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2*a**2 + 3)*(2260 - 5319 - 2655).\nAnswer: 11428*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 1\/35, -32.5, 44?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -253693 + 0.12\nAnswer: -253692.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*q + 4*q + 6. Suppose -q*x + 12 = -5*x. Let w = 0.03 - 0.03. Which is the smallest value?  (a) 1  (b) x  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6265 is divided by 808.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 12, k: 3}. What is prob of picking 1 k and 1 e?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*g**2 + g**2 + 0*g**2 + (g + 0*g + 0*g)*(-3*g + 0*g + 5*g))*(-5*g + g + 5*g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 100388421?\nAnswer: 3, 7, 1593467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/7, -3\/7, 0.5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4.07 and 839.6.\nAnswer: -3417.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 + -1. Let s = w + -1. Let i = -0.986 + s. What is i rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 20 and 7810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + (3 - (-2 + 3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55 = n - 5*v, -246 = n + v - 241 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 10*x + 54. Let q(h) = -5*h - 29. Let b(i) = -4*m(i) - 7*q(i). Give b(-8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, 3981, 1?\nAnswer: 3981","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*y**2 - 7207 + 7207.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 3182*a**2 + a + 1. Let m(k) = -9*k. Calculate s(m(y)).\nAnswer: 257742*y**2 - 9*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*w - 6*w - 17 = 0. Let s(n) = n**2 - 17*n - 5. Let f be s(w). Put f, 0, 3 in decreasing order.\nAnswer: 3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = 10*q + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2745104.\nAnswer: 2, 37, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -3*q - 4. Calculate the remainder when 6 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 731 and 216682.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-46)\/207)\/(42\/378))\/(2\/51).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*g**4 + 24*g**3 + 20*g**2 - 24*g - 22 = 0. What is g?\nAnswer: -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 9*s**2 - 2280*s + 1295050. Let b(x) = -85*x**2 + 20522*x - 11655453. Let z(i) = 4*b(i) + 38*k(i). Suppose z(n) = 0. What is n?\nAnswer: 1138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**2 + 39*l - 469. Calculate v(9).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/17 in -0.3, -2094, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 34\/(-51)*102\/(-4). Let o = u - -38. List the prime factors of o.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.015448921 rounded to four dps?\nAnswer: 0.0154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 223c (base 13) to base 15\nAnswer: 163d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 + 2. Suppose -2*v + 12 = 2*c, 4*c + 3*v - v - 24 = 0. Suppose 0 = -c*h + 26 - 2. Solve -s + 25 = h*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -3 and 190638468803455?\nAnswer: 190638468803458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -6, -1\/5, 72, -1, -0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 87 divide 20979557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the second derivative of 1\/8*w**3 - 1\/48*w**4 + 0*w**2 + w + 0. Suppose q(c) = 0. What is c?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:15 AM and 1:47 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2412 = 4*d + 4*a, -5*a = -3*d - a + 1788. Suppose -30*q + 34*q = d. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1646 is divided by 203?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**3 - 2*u**2 + 2*u - 1. Let c be o(-3). Let f(x) = 2*x**3 - 2*x**2 + 0*x + 2*x + 0*x**2. Does 12 divide f(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**2 - 29*o + 27. What is g(28)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add 1067 and 1.1.\nAnswer: 1068.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/9741 and -45\/1678699?\nAnswer: 5036097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2559138 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03232842 rounded to 5 dps?\nAnswer: -0.03233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rppr. What is prob of sequence rp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 10 - 14. Let w be (-4)\/(-10) - 12\/5. What is the third smallest value in o, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.285 - -0.285425. Round z to five decimal places.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 83084.94 times -1\nAnswer: -83084.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3973 and 274.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 49237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 45016357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 17*b - 46. Let p(d) = 175*d + 14538. Let q be p(-83). Calculate h(q).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 33 + -358. Let n = z + 325.898. Round n to 2 dps.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100010111111001001100 - 110?\nAnswer: -100010111111001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 19 + -29. Let z = -4 - j. Let p(s) = -5*s**2 + 7. Let k(h) = 4 + 0 - 3 - h**2. Calculate z*k(t) - p(t).\nAnswer: -t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 5*a + 3 = 0, -p = 2*a + 2*a + 3. Calculate the remainder when ((-25)\/(132\/(-12) - -12))\/(-1) is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35371267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*o**4 + 5472*o**3\/5 - 27441*o**2\/5 - 31092*o\/5 + 2016\/5 = 0. What is o?\nAnswer: -1, 4\/65, 8, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -956.2 - -1971.16. Let s = w + -1014.27061. Let i = -0.69 + s. Round i to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2787.622 millennia to months.\nAnswer: 33451464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 6*q**2. Let p(d) = 141*d**2 - 26*d**2 - 119*d**2. Determine p(b(v)).\nAnswer: -144*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes after 12:16 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 66*a**3 - a**2*h**3 + 3*a*h**3 + 21*a*h - 2*h**3 wrt a.\nAnswer: 396*a - 2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2440 + 12163?\nAnswer: 14603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 126 + -123. Solve 5*p - 32 = -w*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 14\/(-44) - -24*78\/288. Factor -14\/11*p**2 - 72\/11 + 1\/11*p**3 - r*p.\nAnswer: (p - 18)*(p + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 82612274083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*y + 10*y + 4 = -2*c, 0 = -5*y - 2*c + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32887689 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 21619598?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -3*k**2 - k**3 + 6 + 4*k + 2*k + k**2. Calculate the lowest common multiple of x(-4) and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = 3 - 11. Suppose d*z + 0*z = -12. Let c be (5 + z)\/(6\/15). Put -2\/5, -4, c in decreasing order.\nAnswer: c, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-42)\/(-7) + -4)*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*b**3 + 8699871*b**2 - 8699871*b**2.\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/75 and -91\/199260?\nAnswer: 996300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 314 and 123855102?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -313205, -626414, -939623, -1252832, -1566041, -1879250?\nAnswer: -2192459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 5, 1\/4, -4\/9, -9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-27)\/(-5) + (-23)\/((-161)\/(-42)). Which is the biggest value?  (a) n  (b) 1\/3  (c) 10  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 24625 - 253?\nAnswer: 24372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 56 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9614 and 288002.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -530452 (base 7) to base 13\nAnswer: -32833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 27.19843 + -27.2. Round v to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*z - 33*z - 3370771 = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) -3  (c) 0.24  (d) 17  (e) 1.6  (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (49*o**3 - o**2 + 0*o**2 + 0*o**2)*(0*o + 0*o + 5*o).\nAnswer: 245*o**4 - 5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 657 minutes after 10:16 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -350 = -7*m - 0*m. Let n = m + -47. Suppose -2*x - 378 = -3*i - 113, -2*i - n*x + 181 = 0. What are the prime factors of i?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 4 - 6*u)*(-4 + 0 + 0).\nAnswer: 24*u + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5) + 3 + sqrt(500) - sqrt(5))*3 - (sqrt(320) + 1 + (sqrt(5) + -2)*-5)) + -1.\nAnswer: -3 + 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 + 10 = -3*z - 3*x, 0 = 2*z - 5*x + 11. Find the third derivative of -13*v**3 + 0*v**2 + v**z + 10*v**3 wrt v.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.4, -2\/3, -0.1, 4\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30 = 15*p - 9*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2197277 by -4.\nAnswer: 2197277\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.019912343 rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5 + 4 + k**3 - 5*k**3 with respect to k.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 77\/12 and 16\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22413346 (base 8) to base 11.\nAnswer: -2817035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 40698 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-16\/3))**27\/(o*o*o\/(o\/((o*o\/o**22)\/o)*o))**5 assuming o is positive.\nAnswer: o**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2127 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-11\/2)*d*d**(3\/5)*d*d*d assuming d is positive.\nAnswer: d**(-9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 205 a factor of 24695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -218195\/90038 - -1\/3463. What is the common denominator of u and 10\/91?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 552\/5 + -110. Let i = 366 + -371. Which is the closest to w?  (a) -1\/4  (b) -2  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1007146.\nAnswer: 2, 7, 43, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 + 14 = x. Let c be (3 - 0)\/(12\/20). Suppose -4*k + 2*i + 17 = -3*i, -4*k + i + 13 = 0. Solve -c*t - k = x for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 3*f - 928594 = 0, -21*v + 3714406 = -17*v + 3*f. What is v rounded to the nearest 10000?\nAnswer: 930000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -32*s + 48. Let x(i) = -13*i + 19. What is 5*o(y) - 12*x(y)?\nAnswer: -4*y + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the third derivative of f**4\/24 + 2*f**2 - 1. Let t(p) = 39*p**2 + 5. Give r(t(a)).\nAnswer: 39*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 184 = 58. Let p be (-207)\/b - (-6)\/(-21). Suppose 15 + 9 = p*s. Solve 3*k = s*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 412 - 40. What is the greatest common factor of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 559, 2221, 4983, 8839, 13783, 19809, 26911?\nAnswer: 35083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 266579868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, 2, -0.95, -23, -2\/27, 19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4497100415?\nAnswer: 5, 23, 167, 10181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -2*h + 3. Let q be v(3). Let l = 0.6 + 1.4. Let d = 0 - l. Sort -3\/5, d, q in decreasing order.\nAnswer: -3\/5, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 6*b - 1. Let i be k(1). Let c = i - 1. Suppose -2*l + 4 = 5*g, 0*l - 5*g = -2*l + c. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:50 PM and 12:49 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -17 - -36 - -22506 - 10 a multiple of 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the third derivative of x**5\/60 + 11*x**4\/24 + 7*x**3\/6 - 4*x**2. Let l be (-17 - 3)\/(2 + 0). Give s(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -14 - -15. Let i = 2.3 - j. Let l = -1.1 + i. What is the second biggest value in l, -1, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11100 - 100101001110001?\nAnswer: -100101001010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (12\/36)\/((-1)\/(-3)). Let f be y*(1 + 2 - 2). Solve -2*z - h = 5, -2*h = -h - f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10 - 9. Let z = h - -4. Let x(f) = 10*f**3 - 6*f**2 - 6*f + 5. Let n(b) = 7*b**3 - 4*b**2 - 4*b + 3. Let r(g) = z*x(g) - 8*n(g). Calculate r(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -555.6 - -675. Let u = k - 114. Let j = 5.4 - u. What is the smallest value in j, -2, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -810 - -1207. Solve x*p = 406*p + 27 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -2*d**2 - 3. Let p(o) = -o**2 - 1. Let n = 16 - 13. Let f(i) = n*p(i) - s(i). Let g(y) = -3*y**2 + 2*y**2 - 3*y**2 + 2*y**2. What is g(f(w))?\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q - x - x + 13, 2*q - 2*x = -16. Let r(n) be the second derivative of -n**5\/20 - n**4\/6 + n**3\/3 + 3*n. Determine r(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.078 times -0.4\nAnswer: -0.0312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1920)*-2*-2 + sqrt(1920) + sqrt(1920) - -6*(sqrt(1920) + sqrt(1920) + -2*sqrt(1920)))\/(-1*sqrt(24) - sqrt(12)\/sqrt(50)).\nAnswer: -240*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 1  (b) 0.05  (c) 40  (d) -0.12  (e) 2.2  (f) 2  (g) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, k: 1, h: 1, m: 1, s: 1, t: 2}. What is prob of picking 1 s, 1 p, and 1 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1607 by 1607.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11610, 11612, 11614, 11616, 11618, 11620?\nAnswer: 11622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 24*u + 29. What is the hundreds digit of t(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 219 is divided by 67.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 6, n: 2, f: 7}. Give prob of sequence fynn.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*d - 21*d + d in the form q + r*d and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put together -4 and 116.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/11  (b) -6.31  (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60*u + 56*u + 1288 = 0. Is 23 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -113*p + 1. Is 10 a factor of j(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (10 - (-2 - -10))*-2 - 25\/(-1). Solve w*o + 116 = -8*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/18)\/(8 - (-234)\/(-27)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.1  (b) -0.3  (c) -5  (d) 15  (e) 476\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -464 - 143568.27\nAnswer: -144032.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 342.15 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 313.3451726 to the nearest ten.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jnd when three letters picked without replacement from {g: 1, b: 3, d: 3, j: 3, o: 2, n: 2}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o\/(o*(o\/(o\/o**(2\/7)))\/o))\/(o**(2\/3)\/o))**(4\/19)*(o**(2\/3)\/o)**(11\/6)*o**1*o\/(o**(1\/4)*o) assuming o is positive.\nAnswer: o**(2729\/4788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11 - -15. Suppose 0 = r*j - 50 - 38. Suppose z - 5*t = 2*z + j, -2*t - 19 = -3*z. Solve 0*m - m + 20 = -5*v, 24 = z*m - 3*v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6866888 is divided by 173.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 8*d - 489 = 0, -28*o + 30*o - 3*d - 1035 = 0. Calculate the remainder when o is divided by 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 6, h: 12}. Give prob of sequence hhh.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b + 8*b - 5*b. Let o(u) = -u. What is 7*o(c) + 3*p(c)?\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**2 + 9*g + 12.\nAnswer: -3*(g - 4)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13.1 - 13. Which is the third biggest value?  (a) -3\/8  (b) s  (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 + (-9)\/(9\/100). Let d be 5\/(-6)*r\/330. Let i = -27 - -21. Which is the closest to i?  (a) -2\/7  (b) d  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20, 1, 5144, 9 in descending order.\nAnswer: 5144, 20, 9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a = -2*q + 3, 5*q - 1068*a + 21 = -1070*a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**3 + 22*g**2 + 4*g - 6. Calculate the smallest common multiple of 14 and u(22).\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 times 169\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -941.2283619 rounded to the nearest ten?\nAnswer: -940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -306.9671 to the nearest ten.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -3*u**2 + 7*u - 7 + 2 + 4*u**2. Suppose 5*r - 16 = 3*r. Is i(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -716, -1425, -2022, -2507, -2880, -3141, -3290?\nAnswer: -3327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (17\/((-680)\/(-88)))\/(7\/(-35)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26877, 107597, 242131, 430479, 672641, 968617?\nAnswer: 1318407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-11 - 5 - 18)*(-213*a**3 - 223*a**3 + 107*a**3) to the form u*a + p*a**2 + m + q*a**3 and give q.\nAnswer: 11186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 30182 rounded to the nearest 1000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 11 and 4429.\nAnswer: 48719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the third derivative of 275*x**4\/12 - 33*x**3\/2 - 134*x**2. Is y(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -19*y - 23. List the prime factors of c(-7).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -24692, -48678, -72664, -96650?\n\"Answer: -23986*z - 706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 163417 is divided by 1486?\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -6401 times 12.9\nAnswer: -82572.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 159329028?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*z - 3*z + 6*z + (2 - 2*z - 2)*(0 + 1 - 3))*(-9*z + z - 4*z) - 2 + 2 + z**2 to the form a*z + k + n*z**2 and give n.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 10693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.01, 26, 28038, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28711404.\nAnswer: 2, 3, 797539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6.55 - -6.5. Round w to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 678*a**3 - 1596*a**3 + 752*a**3.\nAnswer: -166*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -7 - 1 - 0\/3. Let y = 6 + v. What is the remainder when 30 is divided by y + 0 - (-36)\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1419022?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 195*i + 199*i - 603*i + 197*i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10769 is divided by 10757.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**2 - 2*x + 91. What is u(-11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-156)\/(-14))\/((-122)\/36295*-85)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -4*n + 3. Let a be y(-8). Let -18*k**2 - 21*k + 42*k**4 + 6 + 21*k**3 - 5*k**3 + a*k**3 = 0. Calculate k.\nAnswer: -1, 2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 85*l - 34. Let j(p) = -24*p + 10. Let f(c) = 17*j(c) + 5*r(c). Let d(g) = -3*g. Let n(y) = y. Let b(o) = -4*d(o) - 15*n(o). Calculate f(b(i)).\nAnswer: -51*i","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: -1+1137484544216\nAnswer: 1137484544215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -232*p**3 - 231*p**3 + 692*p**3 - 231*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 156027315*z**3 - z**2 + 1700*z - 15820.\nAnswer: 936163890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 + 9 - 453*a + 453*a - 5*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 9 from -34366073.\nAnswer: -34366082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49298*y**3\/5 - 248374*y**2 + 47190*y - 2250 = 0. What is y?\nAnswer: 15\/157, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4, 5\/3, -2\/7, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 35 + -26. Let q(a) = 6*a - 3. Let j be q(2). Suppose n = 6*w - j. Solve 0 = w*g + 4*i + 25, -10 = 2*g - i + 2*i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1700, 4077, 6452, 8825, 11196, 13565, 15932?\nAnswer: 18297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 20*p**2 - 8*p - 1. Let l(b) = 20*b**2 - 7*b - 1. Let k(i) = 6*l(i) - 5*m(i). Let h be k(-1). Determine s, given that h*s - 7*s - 14*s + 3*s**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(3\/4))**26*(b*b*(b\/(b\/(b*b**29\/b*b)))\/b*b*b)**(-4\/31) assuming b is positive.\nAnswer: b**(945\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -14054482 or -14054481?\nAnswer: -14054481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -5*m + 146. Let n be k(29). Is -7\/72 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.2  (b) 8\/3  (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b\/b**(-6))\/b)\/b)**22*b**9*b*b*b**(-2\/25)\/b assuming b is positive.\nAnswer: b**(3548\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 divided by 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 54 - (-21 - ((-19 - -18) + -26)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1547 + 21?\nAnswer: 1568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 2) + -5*11\/(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1 - 2*267\/(-6))*1. Suppose -2*u - 4*o = -z, -181 = u - 5*u - 3*o. Let p be 69\/u*(-4)\/(-3). Solve -2*q - 3*h - 22 = p*h, 5*q = 5*h + 15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in 0.1, 4, -1\/4, 14\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 24\/5 and 169\/5890800.\nAnswer: 5890800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -9*d - 4. Let k(f) be the first derivative of f**2\/2 - 11. Determine k(w(x)).\nAnswer: -9*x - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:56 PM and 3:00 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 978 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35640 divided by -6.\nAnswer: 5940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 97 + 20 = -3*k, -2*k - 4*n = 92. Let a = 42 + k. Solve 0 = -a*t, 10 = 2*j - 0*j + 3*t for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -1\/24921641?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1471 + -1472. Is g greater than or equal to 2\/613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 6 = 2. Let d be 124\/(-6) + u\/6. Let k = -7 - d. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:39 PM and 11:50 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -674923 - 320783 = -54*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1339533?\nAnswer: 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-50)\/(-224) - (-239)\/3824. What is the fourth smallest value in -1, 2, z, -0.28?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 18 - 18. Suppose 2*o - 4*p - 14 = b, 3*o - 2 = 2*p + 11. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*b = 6851 - 6664. What is the highest common divisor of b and 3553?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 17 - 7 - 13 - 4*z**3 + 8*z**2 + 3*z**3 - 8*z. Calculate x(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19 - 8 + 27 - 15*k**2.\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*o - 259 = -403 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -12945, -25896, -38849, -51810, -64785, -77780, -90801, -103854?\n\"Answer: -b**3 + 5*b**2 - 12959*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 42, -63, 1772\/7 in decreasing order.\nAnswer: 1772\/7, 42, 0.3, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 107767, 121434, 135101, 148768, 162435?\nAnswer: 176102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -131\/1596 and -151\/1140.\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 5882 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -0*f + u - 1529995, -2*u = 10. Round f to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 2*s - 3116 = 0, 42*s = a + 45*s - 1566. What are the prime factors of a?\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 2*r = 0. Let h = -9 - -15. Suppose 16 = -0*f + 2*f + 4*u, f - h = -u. Which is the nearest to r?  (a) -0.2  (b) 5  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 13*y**2 + 1. Suppose h = -4*h - 5*i + 15, 0 = 5*h - 5*i - 5. Suppose -5 = -3*j + 4*l, h*l = j - 3*l - 9. What are the prime factors of o(j)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4598 times 0.04601\nAnswer: 211.55398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -9*5\/(-225)*18\/(-18)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1237901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*k**3 + 3 - 3 - 1 + 21*k**3 to the form r + g*k**3 + q*k**2 + m*k and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -128, 0.2, -1\/2 in decreasing order.\nAnswer: 0.2, -1\/2, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 360312 (base 9) to base 2\nAnswer: 110100111010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -196 divided by -17\nAnswer: 196\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22899878.\nAnswer: 2, 89, 127, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/3  (b) 52  (c) 131\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l + 2*l + 27. Let i(m) = -m**2 - 10*m - 6. Let q be i(l). Is 15 a factor of (-1)\/q + 181\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 22 - 17 - (0 + 0). Suppose -h*p = -5*z - 160, -3*p - 2*z - 11 + 102 = 0. Calculate the remainder when p is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 12 = -h, 0 = 3*h - 6*q + 5*q + 10. Put 17, h, -3 in ascending order.\nAnswer: h, -3, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) -2  (b) 2  (c) -3\/5  (d) 1.75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes before 5:49 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a + 829 = 170*b - 863 + 336, b - 4 = -a - 2*b + 18 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:35 PM and 11:37 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 275 - 221 - 69 - (7 + -1 + 1).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + q = -126, 169 = -5*z + 4*q - 41. Let x(o) = -o**3 - 42*o**2 - 6*o - 22. Does 5 divide x(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 3693, 14828, 33409, 59436, 92909, 133828?\n\"Answer: 3723*x**2 - 34*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 151*y + 7 = 149*y - 3*o, -2 = -2*o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 639.285974*-4\nAnswer: -2557.143896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 227269894.305901809 + -227269894. Let l = g + -0.3059. Round l to 7 dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54082 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k + 10 + 2 = 3*k - 2*b, 0 = -2*b. Is 102.4 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -16 - -19. Suppose -q*v + 3*f + 135 = -0*f, -v + 33 = 5*f. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17793202, 35586405, 53379608, 71172811, 88966014, 106759217?\nAnswer: 124552420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 223 greater than or equal to 221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2392 and -0.2.\nAnswer: -478.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -67272811 and 0.015?\nAnswer: 67272811.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/80*-4 - (-10)\/(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 152*r + 848. Let k(u) = 329*u + 1695. Calculate 6*k(z) - 13*q(z).\nAnswer: -2*z - 854","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**2 + 9*y - 11. Give s(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20701272?\nAnswer: 2, 3, 862553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2\/(-6))\/((-66)\/(-108)). Does d = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1433436 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1424439 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 369264 divided by 12?\nAnswer: 30772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that 2*i**4\/5 + 66*i**3\/5 - 802*i**2\/5 + 2454*i\/5 - 344 = 0.\nAnswer: -43, 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 - -11. Let l = 13 - 10. Solve -l*f = 2 - x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 389?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -12\/209, -2, 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((-380)\/(-19))\/(-20)*10\/1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {w: 2, d: 9}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58 + 7 + 51 = 2*u, 0 = -5*q - 4*u - 35 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.045 + 0.045. Let p(c) = -c**3 - 3*c**2 - 2. Let z be p(-5). Let h be ((-3)\/(-1))\/(z\/32). Is i > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13027 times -0.2?\nAnswer: 2605.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 172.8 + -309.1. Let h = k - -62.5. Round h to the nearest integer.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 789, 1573, 2359, 3147, 3937, 4729, 5523?\nAnswer: 6319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*t - 37*t - 33*t - 60*t)*(2*t**2 + 3 - 3).\nAnswer: -240*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6293547 is divided by 3674.\nAnswer: 3659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -2*r - 5*d + 32, 0 = 2*r + 5*d - 12. Let u be (98016\/10)\/r + (-10)\/(-25). Round u to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -1 - b**3 - 5 + 9 - 6*b**2 + b - 6. Calculate y(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*y**5 + 142*y**4 - 168*y**3 - 752*y**2 + 720*y + 736 = 0. Calculate y.\nAnswer: -2, -2\/3, 2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) 93.7  (c) 2  (d) 0.1  (e) -54  (f) -2\/7  (g) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5.66982 and -0.12?\nAnswer: -0.6803784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24\/(-225))\/(-2*17\/85).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1196*x + 199510 + 30326 = -5070*x + 48122 for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the first derivative of 23*c**3\/3 + 7*c + 14. What is the derivative of x(g) wrt g?\nAnswer: 46*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -121\/2 - -60. Which is greater: 8 or p?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.6 - 0.9. Let q = 0 - o. What is the nearest to -2 in q, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37 = -4*o - 3*g, 3*o + 176*g - 181*g + 6 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -5*p - 32. Let s = 1733 + -1738. Calculate b(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 4*w = 8 + 33, -5*w = -10. Suppose -7 = t - u. Suppose t*z - 26 = 22. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16\/(-68)*(-35)\/(-70)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 2*d - 4 - 2 + 6. Let v(z) = 8*z. Calculate v(r(y)).\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -4911200 rounded to the nearest 100000?\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 - -398?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1121273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:51 AM and 10:30 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*o**3 + 14*o + 12*o**3 - 2 + 2*o**2 + 4*o + 4*o - 19*o in the form c*o**2 + h*o**3 + g*o + q and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -15039 divided by 10698?\nAnswer: -5013\/3566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 12403584 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -181*-0.5\nAnswer: 90.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 94.76257 millilitres?\nAnswer: 0.09476257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*6*1265768\/(-113015)*(-2)\/((-24)\/(-5)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 124358 to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = 2*b - 93 + 37, 98 = 5*b + 2*l. What is the lowest common multiple of b and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/2*1)\/(5339\/266950)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 628\/5?\nAnswer: 628\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**2 - k + 2. Let h be f(0). Let m(z) = 5 + 7 + 2*z - 4 - h. What is m(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 d when two letters picked without replacement from {l: 2, n: 1, o: 2, j: 1, e: 1, d: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.04  (b) 3  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q**2\/q))\/(q**(-9)*q*q))\/(q**(-5\/7)\/q**(8\/3)) assuming q is positive.\nAnswer: q**(218\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 10) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2389.82 rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.71945865*-0.2.\nAnswer: 0.14389173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 4, s: 3, p: 2}. What is prob of picking 2 b and 2 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((-1*sqrt(24))\/sqrt(8))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 0.4185225 meters?\nAnswer: 0.0004185225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyt. What is prob of sequence yt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 9) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 - (3 - ((-15)\/(-6) - -3)). Find b such that -n + 0*b + 3\/2*b**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 6 = -2*p. Solve -c + p*u = -1, c + u - 9 = 6*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**3 + 133*r**2 - 1441*r - 1573.\nAnswer: (r - 11)*(r + 1)*(r + 143)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 71 less than or equal to -9662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Do 82 and -0.424 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -17, 1\/6, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 262 - 50. Let u = 217 - s. Solve -z = 3 - u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7831 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wowa when four letters picked without replacement from {d: 8, a: 6, w: 3, o: 2}?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 + 2. Find the third derivative of 4*m**i - 3*m**3 + 2*m**5 + 3*m**3 - m**2 wrt m.\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:03 PM and 9:54 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2948\/24 + (-6)\/(-36). Suppose 69 + h = 4*u. Calculate the greatest common factor of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5638 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes before 5:17 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = 3*a + 3, 5*q = 3*a - 6*a - 6. Suppose -u = -a*u + 6. Suppose 0 = -u*l - 1 + 7. Solve l*t = -4 + 14 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6980 divided by 1396\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 12131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1043 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 21.4074614 rounded to 1 dp?\nAnswer: 21.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 302453 (base 6) in base 7?\nAnswer: 126534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1121 + 1153. Calculate the greatest common divisor of o and 1296.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes before 9:18 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1221*t = 2*j + 1216*t + 9, -3*j - t + 12 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the second derivative of -1883*x**4\/6 + 2213*x**3\/6 + 8*x - 152. Find the second derivative of t(y) wrt y.\nAnswer: -7532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*j**2 - 2641660*j - 158481600 = 0. Calculate j.\nAnswer: -528272, -60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -544.23 times 486?\nAnswer: -264495.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -79*p - 463 = -568 - 1080 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -340 and 111221?\nAnswer: -37815140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 112700678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2450 and 100?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -9*g - 5 + 3 + 20*g. Let i be q(4). Suppose u + u - i = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1638 times 37?\nAnswer: -60606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-35)\/7)\/(1\/(-1)). Let z(m) be the first derivative of 1\/3*m**3 + o + 0*m**2 + 0*m**4 - 1\/2*m - 1\/10*m**5. Factor z(p).\nAnswer: -(p - 1)**2*(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19126201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 384669 and 4617.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = 3*f + 4*o - 31, -5*o = -f - 5. Suppose a - f = -4*v, 11 = 5*v + 2*a - 7. Is (-262)\/v*(-39 + 13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 852435 to the power of 1\/2, to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 0 - 75*u**3 + 77*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1036 and 6179?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -3*n. What is i(12)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -13*s**3 - 3*s**2 - 16*s + 18. Let a be d(-8). Let z = a + -449489\/68. Are z and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -40*l + 445. Let h be z(11). Which is the biggest value?  (a) 4  (b) h  (c) 19\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 3  (b) -0.04  (c) 13  (d) -1.1  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pppnpnlnppprln. Give prob of sequence pn.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 3 = -2*a. Solve 1 = -g - 4*x - 3, 0 = -2*g + x + a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0057152 to four decimal places.\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 20020202102 (base 3) in base 13?\nAnswer: 43cc4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -18*(7 + 2286\/(-324)). Solve r = 5*n + 11 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 20770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 41, 49, 59, 71, 85?\n\"Answer: m**2 + 5*m + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -9*n - 11. Let s be i(-2). Suppose 2*y - 2*f - 211990 = -s*f, 3*f - 211994 = -2*y. Round y to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 14) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s - 0*u - u + 10, 5*s = -4*u + 45. Suppose -8*i + s = -9*i. What is the third biggest value in -0.4, -4, i, -1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/12*52\/(-78)*-8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-61)\/(244\/40) + 2 + 6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 4:30 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 82408003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**3 - 4*z**2 + 3. Let p be o(4). Suppose 0 = p*i + i + 40. Let y = -7 - i. Put y, -2, 1 in decreasing order.\nAnswer: y, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 41262345 by 4365.\nAnswer: 9453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -4*z - 3*z. Put -3, z, 1, -1 in descending order.\nAnswer: 1, z, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3\/(-8) + 8*(-1899)\/(-576) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 253?  (a) -2  (b) 46  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(l**(-4\/3)\/l))\/l)\/(l*l\/(l\/l**(2\/19))*l*l)*(l\/((l**(2\/7)*l*l)\/l))**(-2\/37) assuming l is positive.\nAnswer: l**(-11168\/14763)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 41 + (-4)\/1 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -403013, -403012, -403011?\nAnswer: -403010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 81\/31 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 34229 + -154.4.\nAnswer: 34074.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -25 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**3 - 3*v**2 + v - 7. Let z be q(4). Calculate the greatest common divisor of 78 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = b - 0*b - 416, a = -2*b + 85. Let q(k) be the first derivative of -7 + a*k - 88*k + 6*k**2 - 1. Differentiate q(g) wrt g.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (((sqrt(96) - sqrt(24))\/sqrt(2))\/sqrt(4) + -5)**2 + 5*(sqrt(243) + 2 - sqrt(3) - sqrt(3))**2*-4 + 1.\nAnswer: -2989 - 570*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 409000?\nAnswer: 2, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 39*c**4 - 134*c**2 - 1452 + 72*c**2 + 54*c**2 wrt c?\nAnswer: 156*c**3 - 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 333133101 (base 4) to base 12\nAnswer: 1065a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2299) - (sqrt(2299) + 0 + sqrt(2299) - sqrt(2299)) - (-4 + sqrt(19) + 3))*-2)**2 + -2.\nAnswer: -8*sqrt(19) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**2 + 16. Let y be u(-5). Let i(q) = -q**3 - 7*q**2 + 15*q - 1. Let n be i(y). Let p = n + -14. Calculate the smallest common multiple of p and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3.02 + 3.42. What is the nearest to 1 in -0.05, 0.5, 2, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 5, f: 4, z: 6}. What is prob of picking 2 z and 1 f?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 514205950.\nAnswer: 2, 5, 10284119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/2*99\/(-33))\/(-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -979*w - 674. Let c(r) = 70*r + 47. Give -86*c(s) - 6*m(s).\nAnswer: -146*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1*(-2 - (2 - 0)). Suppose u*z - 3*z = 8. Suppose b = -1 + 2. Calculate the greatest common factor of b and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-2*1*sqrt(104)*5)\/(1*sqrt(8)*4 - ((sqrt(48)\/sqrt(3))\/sqrt(2) + sqrt(8))))**2.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**3 + 45*x**2 + 304*x - 418. What is v(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 7  (b) -2  (c) 119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -7\/5, -2\/23, -1\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -56 + 76 - 20 + 569*j as m*j + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 272258750 to the nearest integer?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 - -3. Let c be ((-354)\/8)\/f*4. Let t = 85 + c. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8705930 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 20785 = -3*l, 6569 + 14244 = 3*l + 2*o. Round l to the nearest 100.\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4444340434 (base 5) to base 7.\nAnswer: 145655424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the first derivative of 11*j**2\/2 - 123*j - 2274. What is d(10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the third derivative of -m**7\/2520 + m**6\/72 - m**5\/60 - m**4\/24 + 25*m**3\/6 - 58*m**2. Let s(w) be the second derivative of y(w). Give s(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6640, 13276, 19912, 26548, 33184, 39820?\nAnswer: 46456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6200 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -10 divided by 35\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:11 AM and 11:07 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 28839447?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -20438 * -1.2\nAnswer: 24525.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -3986279.255 rounded to the nearest ten thousand?\nAnswer: -3990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 16\/(-16)*(-1 - 9). Let l(c) = 6*c**2 + 7*c - 3. Let v be l(6). Suppose -j*u + 5*u = -v. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1278840810 to the power of 1\/2, to the nearest integer?\nAnswer: 35761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -131 + 653\/5. Let w = 4\/59 - 161\/3245. Let l = -119\/495 + w. Put l, b, 0 in increasing order.\nAnswer: b, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 253287227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -106 + 167. What is the second derivative of c*z**2 - 40*z + 162*z + 93*z**2 - 33*z**2 wrt z?\nAnswer: 242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that 45*q**3 - 237*q**2 + 246*q - 72 = 0.\nAnswer: 3\/5, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -303 - -292. Let c(u) = 102*u + 108. Let p(n) = -204*n - 216. Let q(w) = t*c(w) - 6*p(w). Differentiate q(v) wrt v.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 20 + w**3 - 3*w**2 - 5*w + 4*w - 11*w**2 + 0*w. Let y be v(14). Suppose 0 = 10*q - y*q - 1172. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1368254 a multiple of 269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4090.\nAnswer: 2, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 35 + -3 + (-5 - -2) + -16.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 340 a factor of 422040640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 9*j - 39*j + 31*j + 14 + 8*j**2 + 3*j - 2 + j**3. Let b be (-6 + 3 - -11)\/(-1). What is v(b)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -607.8216 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 581 and 133.\nAnswer: 11039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -77537 + 130913. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4505 + -2891. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*g + 17*i = -1272, -5839 = 5*g - 2*i - 5997 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 9*x**2 - 37*x + 772. What is the lowest common multiple of 112 and d(12)?\nAnswer: 3248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c*c**(1\/2))*c\/(c\/(c\/(c**(-9)*c))))\/(c**0\/c)**(2\/107) assuming c is positive.\nAnswer: c**(1823\/214)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 4*l - 3*z = -82, -l + 2*z + 6 = 0. Let o = l - 14. Solve -v - 3 - 1 = o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qhhccqhhlhlhl. What is prob of sequence cl?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 23981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7936 and 151094.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-9)\/(-27))\/((-1)\/9))\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 177*k**2 + 5*k + 53. Let s(t) = 175*t**2 + 4*t + 52. Suppose -32*i = -15*i + 68. Let d(r) = i*m(r) + 5*s(r). Differentiate d(z) with respect to z.\nAnswer: 334*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b - 4*d - 61 = -26, -5*b + 5*d + 40 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-1*16*125\/(-2000)*29)\/1\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2240*b**3*j + 1458*b**3 - b**2*j**4 wrt j.\nAnswer: 2240*b**3 - 4*b**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -25, -0.2, 14, -4\/5, -0.1, -5?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1*1\/2)\/(48\/(-32))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 3*r + 8, r = -r - 2*q. Suppose r*o + 6 = 5*o. Let v be (-189)\/(-39) - o\/(-39). Is v >= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 114\/57 - ((-13 - -4) + 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 + (0 + -1)*-6. Suppose 0 = 5*v + g - 426, k*v + 3*g - 377 = 51. Suppose 26*j - 25*j - v = 0. Does 16 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3 and 634.716.\nAnswer: -190.4148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -14003462 + 15?\nAnswer: -14003447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*z - z**2 + 2*z)*(z**2 + 2 - 2) - 134*z**3 + 3*z**4 + 134*z**3 + z + z**4 - z to the form w*z**4 + q*z**2 + s*z**3 + j*z + l and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (149 - 4454060\/29900)*(-10)\/8\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 301 - 56 = 7*g + 28*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 100*1*528\/440 is divided by 65?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 19\/6 + -115\/42. Which is the smallest value?  (a) k  (b) -3\/7  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -205 - -216. Calculate the remainder when 51 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/((0 - -2) + 0). Let w be 4 - 4 - -131*(-2)\/(-6). Let q = w + -43. What is the nearest to 3 in j, q, -0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 86 - 2?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*k + 41*k + 11*k - 2*k to v + f*k and give f.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6790, 13554, 20304, 27034, 33738, 40410, 47044, 53634?\nAnswer: 60174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4429345.4 rounded to the nearest ten thousand?\nAnswer: 4430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, v: 1, a: 1, i: 2, x: 1, d: 2}. What is prob of picking 1 i and 1 a?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in u**2 - 47393404*u + 47393404*u - u**3.\nAnswer: -u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -3864, -7727, -11590, -15453?\n\"Answer: -3863*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 17080791 to the power of 1\/3, to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -112 + 33?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1798, -3535, -5272, -7009?\nAnswer: -8746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -88.394 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4*h + 3*h + 3*h)*(3*h - h - h) - h**2 - 3 + 3 + h**2 + h**2 - h**2)*(-h**2 - 2*h**2 + 2*h**2).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*x = -44*x + 28. Calculate the remainder when (-2)\/(6\/15) - x is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 9 + (287 - 267 - (6 + 1)) + 11.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 476891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*f**3 - 115336 + 115336.\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -154 + 158. Suppose -3*g + 15 = 2*h, -t*g = -g - 5*h - 15. Solve 0 = -4*x, -2 = -3*r + 3*x - g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -658459756 by -304279.\nAnswer: 2164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 18351*f**3 - 24278*f**2 wrt f.\nAnswer: 110106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**2 - 5*i. Let j be m(7). Find the second derivative of 1796 - 1782 - j*n**3 - 4*n + 73*n**3 wrt n.\nAnswer: 354*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -10, -100, -336, -790, -1534, -2640?\n\"Answer: -12*k**3 - k**2 - 3*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 431954429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 96 + -310. Let d = b + 521. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**3 + 6*n**2 + 4*n. Let d = 7 + -4. Suppose 0 = d*q + 5 + 1. Let w be k(q). What is the greatest common divisor of 24 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.05 + -3.05. What is the nearest to -0.1 in -0.5, n, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-27 - -20)*((-12)\/14 + 0). Suppose h - 3 = 2. Let w be h\/(-20) - 143\/(-28). Which is bigger: r or w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(363)*-3)\/sqrt(11) + sqrt(33))\/(sqrt(48)*-1)*4.\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 80.46837ml?\nAnswer: 0.08046837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 59 at most 1629\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.215962 to four dps.\nAnswer: 0.216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 97\/388 - (-185241)\/12?\nAnswer: 43, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 91 - 98.4. Let l = 2625.35281988 - 2632.75282. Let u = l - m. Round u to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**4\/2 - 81*g**3 - 1134*g**2 + 3969*g + 250047\/2.\nAnswer: -3*(g - 9)*(g + 21)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -47 - -71. Let w = -24.2 + y. Which is the third smallest value?  (a) w  (b) 1\/5  (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the second derivative of -x**5\/20 + 11*x**4\/6 - 23*x**3\/3 + 21*x**2 + 3*x - 38. List the prime factors of b(19).\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1790, 3634, 5492, 7370, 9274?\nAnswer: 11210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**3 - 30*s**2 - 47*s + 23. Suppose -4*c = 3*k - 113, 2*c + 3*k - 39 = -2*k. What is the units digit of d(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3545 divided by 1.\nAnswer: 3545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.1748 - -0.3252. What is the third smallest value in 5, t, -3\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (24\/14)\/((-3)\/126*-12). Let a = 66 + -44. What is the highest common divisor of t and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 554 and 18.\nAnswer: 4986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*w + 152271 = 17*w. Suppose 14*h + 38066 = 17*h - t, -t = 4*h - w. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*d - 53 - 44 + 6 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -24 - -35. Suppose -5*w = -w + 5*v - 27, -2*w - v = -15. Calculate the remainder when c is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**3 + x + 3. Let f be h(0). Let y = -15 + f. Let d(v) = v**2 + 12*v + 6. What is the least common multiple of d(y) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(5 + ((sqrt(110) + (sqrt(110) - 2*sqrt(110))*-6 - sqrt(110)) + 6*1*sqrt(110) + sqrt(110))\/((sqrt(80)\/(sqrt(72) - sqrt(8)) - sqrt(10))*-2))*6.\nAnswer: 150 + 390*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the second derivative of -z**3 + z**2\/2 + z. Let d = -89 - -88. Determine p(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/6 - 15\/(-18). What is the closest to d in -4, -5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*t + 0*t + t)*(t**3 + 2*t**3 + 0*t**3) - t**4 - 14*t + 14*t to the form o*t**2 + a*t + c + k*t**4 + x*t**3 and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does -11 = 0.051?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 7*z**2 - 216*z - 12. What is o(31)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2902, -9, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (11 - -3) + -7 + 12 + -43?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -16597938 minus 0.004?\nAnswer: -16597938.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 36, 87, 140, 195, 252, 311?\n\"Answer: j**2 + 48*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13490 is divided by 3370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 147*y**2 + 87*y**3 - 147*y**2 + 77*y**3.\nAnswer: 164*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2 - (-403)\/26*2\/1. Suppose -z*n + 19*n + 24900 = 0. What is n rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1 - (-5)\/(10\/1578). Suppose z + 1154 = 9*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -240 + 234.84. Let w = -0.16 - a. Let v = 65 - 66. What is the second biggest value in w, v, 2, -3\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = 7*d + 10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:55 PM and 10:51 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**5\/u*u**(1\/4))\/(u**0*u*u**(-5\/2)\/u) assuming u is positive.\nAnswer: u**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 5, g: 5, t: 4, f: 1}. Give prob of sequence lg.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -155*i - 8. Suppose -a - 3*p = 3*a - 39, 4*a - 3*p - 9 = 0. Suppose 27 = -7*l + a. Is m(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 5*o - 13, j - 12 = -6*o + 2*o. Let p be (1 + j\/(-14))\/(48\/(-64)). Which is greater: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*y**2 - y**2 + 3*y + 18*y - 21*y.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -59 divided by -1053127.\nAnswer: 59\/1053127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-17 - (-12 + -2)) + (2 - -7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1058 + -1049. Solve 28 = 19*s + r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6 - ((-204)\/8)\/(-17))*-6. Suppose -12 + 4 = f. Let z = f - -13. What is the greatest common divisor of q and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -102426*f**5 + 6*f**3 - 19*f**2 + 14475289*f wrt f.\nAnswer: -2048520*f**3 + 36*f - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g**4 - g**2 + g**2)*(12 + 350 - 151 + 442).\nAnswer: -1306*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -23 - -3?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2355528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from beeb. What is prob of sequence bb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.578 + -0.018. Let i = 0.62 - z. Which is the third smallest value?  (a) 5  (b) 2\/5  (c) -0.1  (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**2 + 153. Let u(o) = 143*o. Determine n(u(l)).\nAnswer: -20449*l**2 + 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8*k**4 + 12*k**4 + 42*k**2 + 1857*k**3 - 1858*k**3 wrt k?\nAnswer: 480*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/17, 0.012, 2\/3, -2\/9?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 193301*p**3*y - 2*p*y**3 + 937*y**3 - 4*y**2 + 12*y wrt p?\nAnswer: 579903*p**2*y - 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/51630 and -53\/9045.\nAnswer: 31132890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**3 + 14*b**2 + 6*b + 13. Let r be f(11). Suppose t = -t + r. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o + o + 2*j - 7 = 0, 0 = -2*o - 5*j + 3. Which is smaller: o or -0.05?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -118, 1, 4, 5, 120, -2, -27.\nAnswer: -118, -27, -2, 1, 4, 5, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/106 and -17\/20.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the second derivative of -d**3\/6 + 39*d**2\/2 + 1724*d. Calculate g(8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4664434 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that -5*l**5 - 5070*l**4 - 918820*l**3 - 2726090*l**2 - 2715975*l - 903640 = 0.\nAnswer: -779, -232, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 26 + -47. Let d = h - -16.2. Let w = 0.8 - d. What is w rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -19\/42 + 2\/7. Let c = 0.1 - -0.9. Let u = 8 - 4. What is the nearest to c in u, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the third derivative of -z**8\/168 - 4*z**7\/105 - z**6\/10 - 2*z**5\/15 - z**4\/12 + 6*z**2. Solve f(x) = 0 for x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 - -17. Let z = r + -2. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0797355 to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*u + 138 + 137. Let m = u - 35. Let d be (-42)\/(-10) - (1 - 3)\/m. Solve 4*s + d*z + 6 = -z, 4*s + 2 = -3*z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -10*c. Let l be r(-1). Suppose 8*f = 3*f - l. Let z = 3 + -3. Sort f, 3, z in descending order.\nAnswer: 3, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 724665053 and 11487?\nAnswer: 3829","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*l + 135*l**3 - 2*l.\nAnswer: 135*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**2 + 26 + 4 + 0*s**2 - 9. Let v be j(4). Differentiate 20 - 23*q**4 - v*q**4 + 3*q**4 with respect to q.\nAnswer: -100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*p = 36*p - 15*p - 1702. Suppose 2*s + 2*s = z + 275, s + z - 65 = 0. What is the remainder when s is divided by p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 6 + 15*g**3 - 16*g**3 - 3 + 4*g - 9*g**2 - 2*g. Let r be y(-9). Let n = 39 - r. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 19, 4, -3456 in increasing order.\nAnswer: -3456, -5, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 14*c**3 - 91*c**2 + 91*c**2 + (3 - 2*c**2 - 3)*(3*c - 4*c - c) - 9*c**2 + 19*c**2 + 9*c**2 - c**3.\nAnswer: 17*c**3 + 19*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 18460430 divided by 3692086\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 200\/25*(-2)\/(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1545876 to the nearest integer?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 + 0. Let t = -492 + 381.3. Let i = t - -111. Put -4, d, i in decreasing order.\nAnswer: i, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w - 3*y + 4*y + 32, 0 = -w + 2*y + 19. Let d = w - 6. Let n = -2390\/3 - -2389\/3. Which is the nearest to n?  (a) -2  (b) d  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/(-3) + 400\/135 and -14\/33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1708 + -1705. Let v = -8 + 11. Let j = 4 - v. Which is the nearest to 0.2?  (a) j  (b) -4  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 3*p - 2. Let q be b(-2). Let z(x) = -x - 6. Let v be z(q). Is 3 a factor of (v + 4)\/3 - -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20 + 16 + -12 + 9\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*j**2 - 3*j**2 + 4*j**2 + (j**2 + j**2 - 4*j**2)*(1 + 1 - 3)*(9 + 39 - 18).\nAnswer: 65*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3393582 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 421 - 419. Solve -2*l = -2*o - 14 + 4, z*o = -5*l + 18 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 287 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.012 - 2.012. Let s be (-361 - -14)*8\/14. Let z = s + 198. What is the closest to 5 in z, 1\/2, y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c**4 - c - c**4 - 2*c**4 + 10*c**3 - 9*c + 5*c**2 = 0. What is c?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 8 + 11 + -7 + -20\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 841?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/3 + 0)*6\/(-4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4 - -1)*148\/(-12) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 198199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.010319197 to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -31 - -40. Let k = 57 + v. List the prime factors of k.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 39107887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 233400 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes after 2:11 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q + 5. Let c be p(-5). Let v(z) = -z + 8. Suppose 6*i = 2*i + 28. Let f be v(i). Sort 5, f, c in increasing order.\nAnswer: c, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -4*d**2 - 210*d + 58. Give x(-53).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 40 = -4*k. Let f = k - -10. Suppose 3*l - z + 7 = z, 12 = 2*l + 2*z. Solve -2*x = -2*t + f*x - 4, -t + 3*x = l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1010101010 (base 2) in base 9?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 36+0.16\nAnswer: 36.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15037, -48535, -104365, -182527, -283021?\nAnswer: -405847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58 is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxhyhxhlxqxxq. Give prob of picking 1 l and 2 h.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 28*q**2 + 17*q + 51. Let a(l) = 5*l**2 + 3*l + 9. Let k(z) = 34*a(z) - 6*b(z). Let d(p) = -p + 617. What is k(d(w))?\nAnswer: 2*w**2 - 2468*w + 761378","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10829, 43475, 97861, 173987?\nAnswer: 271853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 72 and 194868.\nAnswer: 389736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.4*-1003587.\nAnswer: -1405021.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a century in months?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 948.5061 millennia?\nAnswer: 94850.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -20 + 14241420?\nAnswer: 14241400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -167*c**3 + 6*c**2 - 5*c. Let l be j(4). Let d = l - -7212. What is d rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**2 + h + 14. Calculate the remainder when 35 is divided by u(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the third derivative of 0 - 3*p + 1\/12*p**4 - 26*p**3 - 6*p**2. Let c(l) = -l**2. Calculate o(c(y)).\nAnswer: -2*y**2 - 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**3 - 19*z**2 + 7. Let g(o) = -2*o**2 + 99*o - 30. Let l be g(49). What is the remainder when 31 is divided by y(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 968 and 14432.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -4083959.\nAnswer: -3\/4083959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -119651 or -245?\nAnswer: -245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-64)\/(-384))\/((-1)\/(-4))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 209839 is divided by 4896?\nAnswer: 4207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -15  (b) -3\/25  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.021644 + 0.1.\nAnswer: 0.121644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*s - 26*s - 57*g = 521, -5*s - 2*g - 28 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -26 (base 15) to base 5.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fhi when three letters picked without replacement from {h: 2, i: 1, f: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (41\/(-10) - -4) + 0. Let u = -1\/10 + x. Which is greater: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 494*t + 4353*t + 2192*t to v*t + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from {k: 2, w: 1, u: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -3*n - 5. Let b be x(-5). Let u be 8\/(-5)*b\/4. Let y(l) = -2*l - 1. What is y(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-5)*((o**6*o)\/o)\/o)\/(o*o**(2\/5))**30)\/((o*(o\/(o*o**6))\/o*o*o)\/(o\/((o*o*(o*o\/o**(1\/6))\/o)\/o*o)))**14 assuming o is positive.\nAnswer: o**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (748 - 1112 - 21)*(3*t - 4*t + 0*t).\nAnswer: 385*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.748838 rounded to 2 decimal places?\nAnswer: 4.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 423 divide 2613796947?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 11760 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -57079.0000046267 + 57079. Round n to seven decimal places.\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 5280.876 microseconds?\nAnswer: 0.00000146691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 7 = q. Let l be q\/3 - 4\/(-12). Is 1\/l - 804\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 1 x, and 1 l when three letters picked without replacement from mxyzxll.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.009 - 4.009. Which is the closest to -1?  (a) p  (b) 2\/9  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4899870871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m + 3*b + 9, 2*m = m - 5*b - 15. Solve 3*r + 19 = -m*r - 2*l, 3*r - 2*l + 11 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 73559547 - 2647600489\/36. Let y = d + -15088. What is the common denominator of y and 17\/90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nq when two letters picked without replacement from {o: 2, n: 2, q: 2, w: 3, f: 4}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -169 = 33*h - 4 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from {c: 2, o: 1, k: 1, n: 1, z: 1, j: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 651*a**3*o**2 - 2*a**2*o**2 - 5197*a*o**2 wrt a?\nAnswer: 3906*a*o**2 - 4*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * 0.03.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*l**2 + 40156*l - 320992.\nAnswer: -4*(l - 10031)*(l - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 191 + -188. Sort -4, -3, h, 4 in increasing order.\nAnswer: -4, -3, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -24961\/16642 + -1\/8321. Let m = -4 - -8. Sort m, g, 3 in descending order.\nAnswer: m, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5396 and 231048626?\nAnswer: 2698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10.9 - 7.9. Let m = -3.000000689 + k. What is m rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 749*l + 11829 - 17479 = 13075 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -88, -167, -246?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = m + 4. Suppose 46 = 3*p + 4*k, m*k + 17 + 81 = 4*p. Suppose -42*z = -321 - 1065. Calculate the highest common divisor of p and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 2 + 2*y + 37 - 37 - 3*y + (2*y + 2 - 2)*(2 - 2 + 2) + 1450*y + 554*y + 2 - 382*y to the form i*y + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 + 7 - 1)*(3*p - p - p).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-6) + (-7)\/12)*6\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:26 PM and 8:09 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -999 = -11*y + 244. Suppose -d = -436 + y. Suppose -d = -3*p + 181. Is p a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/2, 37, -9 in descending order.\nAnswer: 37, 3\/2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, -5889, 11\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, -2, 2, 0.2 in ascending order.\nAnswer: -2, 0.2, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (3*1\/(-3)*1)\/(12\/120)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -22689, -91095, -205111, -364737, -569973, -820819, -1117275?\nAnswer: -1459341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and 2.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(4 + -5 + -4 + sqrt(1539)*2).\nAnswer: -54*sqrt(19) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -97132*p**5*w**2 - 4*p**5*w - 2*p*w**2 + 2*p*w + 13*p - 277*w**2 + 3 wrt p?\nAnswer: -1942640*p**3*w**2 - 80*p**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -2*t**3 - t**2 - 4. Give i(-3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9\/4, 0.131, 3.\nAnswer: 0.131, 9\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (0 - 6\/10)\/(4\/(-860))?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 1534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -578*l**4\/7 - 266016*l**3\/7 + 740274*l**2\/7 + 185224*l\/7 + 11112\/7 = 0.\nAnswer: -463, -2\/17, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, v: 2, u: 1, z: 1}. Give prob of picking 1 u and 1 v.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/19, 10, -0.5, -2\/471?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -11 + 6 + -2 + 16 + -20 + -4 + 21\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.5, 2\/27, 20, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 1 j when three letters picked without replacement from {j: 4, x: 1, e: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 512*c - 515*c - 17 = 2*m, 2 = m - 3*c - 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 15) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-90)\/21 - 4\/(-14). Suppose 2*v - v + 5*r = 27, v + 3*r = 17. Suppose 0*i + i = v. Sort -3, i, u.\nAnswer: u, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.4, -5\/6, -4\/123, 59 in decreasing order.\nAnswer: 59, 1.4, -4\/123, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 12886 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of v**2 + 2 - 4*v - 682208*v**3 + 162*v + 682669*v**3 wrt v.\nAnswer: 2766*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 23713 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.2 - -2. Let n = 7 + -7.01. Let s = 2.01 + n. Which is the closest to y?  (a) s  (b) 0.2  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 564, 559, 550, 537?\n\"Answer: -2*i**2 + i + 565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 23 - -3. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 21051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 62086788 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/9  (b) -1  (c) -0.1  (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 130 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 40400 (base 5) in base 12?\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m and 1 i when four letters picked without replacement from mqimmiimmmssismssi?\nAnswer: 35\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mft when three letters picked without replacement from fkfmhhfmftfh.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes after 9:18 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-40*p**2 + 269 - 269)*(p - p + 7*p**2) - 3*p**4 + p**4 - 8*p**4.\nAnswer: -290*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 155 = 5*b, 111 = 4*b + x - 13. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p**2 - 22875*p - 27743580 = 0. What is p?\nAnswer: -996, 5571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 460210533 to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 47 and 188?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/27 and 77\/111.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1353133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l*l**(2\/3)\/l)\/l*l**(3\/4))\/(l**(-2\/11)\/(l\/l**2))*(l**0)**(-1\/10)*((l*l**(-1\/2))\/l)**(-7) assuming l is positive.\nAnswer: l**(541\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -72*y**2 - 10 - 7*y + 91*y**2 - 21*y**2. Let j(p) = 6*p**2 + 20*p + 29. Determine 6*j(z) + 17*w(z).\nAnswer: 2*z**2 + z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 22*x - 156. Is l(10) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 16272, -5, 1 in descending order.\nAnswer: 16272, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1 + (-1 - (4 - 3)). Let a = -2 - m. Let c be -708 + 1\/(a\/2). What is c rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 223*c**4 + c**2 + 3*c wrt c?\nAnswer: 5352*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*w - 4*s = 38*w - 74, -5*w + s = -94. Solve 3*x + 14 = 2*b, 5*b + 0*b + x = w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + 1 - 2*a**2 + 5*a**2 + (-5 + 0 + 3)*(5*a**2 - 4*a**2 - 2*a**2).\nAnswer: 5*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69 = 4*n + 3*r + 15, -4*r = -5*n - 136. Let c = -18 - n. Calculate the remainder when -2*3\/c + 115 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 4*o + 2. Let t(y) = -4*y + 156. Calculate c(t(k)).\nAnswer: -16*k + 626","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 52\/5 of a microsecond?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 2*f - 1066, -f - 3*f = -2*c - 2132. Let n = -528 + f. Solve 15 = 4*v - v, 0 = n*l - 4*v + 45 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 3*x + 25 = 0, 0 = -0*a - 3*a - 2*x - 18. Let u = 9 + a. Is 6 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8, 28, 52, 80, 112?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 7275, 14515, 21747, 28971, 36187, 43395, 50595?\n\"Answer: -4*x**2 + 7252*x + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1317713*m**2 - 6991509*m wrt m?\nAnswer: -2635426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lpkir. Give prob of sequence rk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 12269167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:59 AM and 8:45 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*p = 1 - 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (26 + -28)\/((-2)\/514)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**20\/g**(-7) assuming g is positive.\nAnswer: g**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - -5) + -21 + -8 + 10 + -11?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do -9747 and -9746 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 + -1. Suppose 5*b = -2*l + 3, n = l + 2. Let f be 5\/1 + (3 - b). What is the greatest common factor of f and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1225*d + 4007*d + 669*d.\nAnswer: 5901*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve z - 1 = 2*y, 104*z - 5 = 109*z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3107 - 3385. Are 1\/5 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*u**2 + 877705*u - 877705*u + 10*u**3 - 3*u**2.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -5, 0.03, -7, -6, 72, 1\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1210010011 (base 3) to base 9.\nAnswer: -53104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 66450, 133201, 199952, 266703, 333454?\n\"Answer: 66751*f - 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 115\/28 and 25\/2218.\nAnswer: 31052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 16149, 32812, 49479, 66144, 82801, 99444?\n\"Answer: -u**3 + 8*u**2 + 16646*u - 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -27650 + -650?\nAnswer: -28300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3486 or -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -329, -362, -465, -674, -1025, -1554?\n\"Answer: -6*k**3 + k**2 + 6*k - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**2 - 19*f + 15. Let i be l(-24). Let p = 135 + i. Let m = p + 244. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**3 + 8*k**2 - 7*k. Let x be i(6). Let f(q) = -q**3 - 11*q**2 - 12*q - 20. Let l be f(-10). Solve -w = 3*c - 6*c + 20, c - 5*w - x = l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1216937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*d + 11 = 6*d - 5*y, 3*y + 7 = -d. Suppose 4*a - 546 = -d*u, 2*a - u = 5*a - 410. Calculate the remainder when a is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68031*i**3 + 0*i + 0*i + 68040*i**3.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*m = -4*m + 13 + 455 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 (base 9) in base 7?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4.11 - -0.11. Let s = 5.85 + -1.85. What is the second biggest value in s, -25, h, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -286 + 303. What is the remainder when 287 is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6 + -2 - (-4)\/((-2)\/1). Suppose 0*g + 5*f - i = -g, -5*g + 54 = 3*f. Calculate the remainder when g is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**2 + 9*c - 2. Suppose -3*j = h - 194, -3*h - 181 - 56 = -4*j. Calculate the remainder when j is divided by i(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -65*x**3 - 686*x**2 + 325*x**2 + 344*x**2 to the form a*x + g*x**3 + q*x**2 + n and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*o + 2*o**2 - 2*o**3 - 2*o**2 + 0*o**2 wrt o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 107\/12 and 85\/10082?\nAnswer: 60492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-66)\/(-9))\/(2\/3). Suppose -27 = -4*a - f. Let g be a - (-4)\/(-1 - -5). Solve p - g*x = -1, 0 = 2*p + p + 5*x + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, s: 5}. Give prob of sequence ts.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -2*g**2 + 87*g - 91. Give n(43).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2505426 and 168432?\nAnswer: 20043408","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: (-198)\/((-32670)\/1155)*(-82)\/(-7)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o**(1\/3)\/o)*o)\/o*o)**(-46)\/(o**(-5)\/(o**(2\/9)\/o)) assuming o is positive.\nAnswer: o**(-1066\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that 939*w**4 - 14091*w**3 - 916374*w**2 - 895584*w + 5760 = 0.\nAnswer: -24, -1, 2\/313, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and -9.4.\nAnswer: 3.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1078 - -1072.1. Is 30\/7 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 4*b**2 + b - 10. Let g be j(-3). Suppose -2315 = -g*h + 5206. List the prime factors of h.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -l + 23, l = 1 + 4. Let t = -1 - j. Let w(m) = -m + 1. Calculate the smallest common multiple of w(t) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -12  (b) -2\/447  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 58\/18 - (-2)\/(-9). Let a be -1*(-15)\/(-4) + p. Let x = -1.87 + 1.87. Sort -2\/7, a, x.\nAnswer: a, -2\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*h**4 + h**4 + 2*h**4 + (-45 - 77 + 9)*(2*h**4 + 7*h**4 - h**4) - h**4 + 0 + 0 + (-2 + 2*h**4 + 2)*(-1 + 1 + 1).\nAnswer: -902*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16900*k**5 - 383862*k**3 + 567008*k**2 + 36800*k - 105746 + 218660*k**4 - 278634*k**3 + 106322 = 0 for k.\nAnswer: -2\/65, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the third derivative of 1\/6*k**5 + 0 - 2\/3*k**3 + 15*k**2 - 1\/120*k**6 + 0*k - 1\/24*k**4. Does 12 divide g(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -70\/23 or -4?\nAnswer: -70\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11305 and 19095?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -666 (base 9) in base 13?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + (-12 + -1 - (-81 + 81)) - -4.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 31*a - 27*a - 1760. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l - 5*c + 4, -12 - 15 = -3*l + 3*c. Suppose 10*u - l*u - 213 = 0. What are the prime factors of u?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 579\/(-18)*2*3. Let d = 327 + y. Suppose 44 = -3*q + d. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 14 + -16. Let u be (15\/h)\/(2\/(-4)). Suppose 5*j - 21 = p, 5*j + 3*p - u = -2*p. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -70*d**2. Let a(g) be the second derivative of g**7\/1260 - 15*g**4\/4 + 2*g + 23. Let r(j) be the third derivative of a(j). What is b(r(z))?\nAnswer: -280*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -3.6, 1\/6 in decreasing order.\nAnswer: 1\/6, 0, -3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12227 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3563?\nAnswer: 7, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 37192?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 166472 equal to 166474?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 3*r - 5*r + 180 = 0, -h = 5*r - 54. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(252) + (2 + sqrt(252)*-1)**2 + sqrt(252) + -5.\nAnswer: -12*sqrt(7) + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -155010 - -71304473\/460. What is the common denominator of 7\/2392 and p?\nAnswer: 11960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - -1 - (-22 + 21).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19663198 is divided by 7654?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12 + -8. Let q be 6\/(-4)*(-4)\/6. Sort h, 3, q in descending order.\nAnswer: h, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 20*s. Let h(t) = 7*t - 6. Suppose 16 = 12*o - 80. Let g(k) = o*k + 12*k - 17 + 0*k + 0. Let q(j) = 6*g(j) - 17*h(j). Calculate m(q(r)).\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1008828517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14458 - -72708\/5. Let t = h + -84. Let d = -0.3 - -0.1. Which is the closest to d?  (a) -2\/9  (b) t  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-3\/16))**(2\/123))**(-4\/7) assuming i is positive.\nAnswer: i**(1\/574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 188499579 to the power of 1\/4, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes before 5:40 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5a - -7?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 39 and 1716?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*j = 9*j - 3*j + 248. Solve 25*m = 94 + j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(128) - sqrt(128)*2 - sqrt(128)) + -5)**2 + sqrt(128) + -3*(-1*sqrt(128) - sqrt(128)) - 1*((2 + sqrt(128))*4)**2.\nAnswer: -1575 - 296*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -112 by 112.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -515 + 255 + 253*d + 966*d**4 - 453. Let r(t) = 23*t**4 + 6*t - 17. Let s(h) = -253*r(h) + 6*z(h). Find the first derivative of s(b) wrt b.\nAnswer: -92*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 5*b = 60, k + b + 4*b = -6. Let n be k\/2*24\/18. Suppose v + 12 = -3*i - 2*v, -2*i = 5*v + 20. Sort i, n, -2.\nAnswer: -2, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m + 2*m = 3*s + 85, -105*m = s - 2*s - 2571 + 476 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -15 + 13. What are the prime factors of (-15)\/m*(-10)\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 3, c: 1, t: 3, a: 5, u: 1}. Give prob of picking 1 c, 1 t, and 1 a.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -104971, -212072, -319173?\n\"Answer: -107101*p + 2130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -9630 divided by 5?\nAnswer: -1926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -56 divided by -216.\nAnswer: 7\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 80138 and 27129070.\nAnswer: 4714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {i: 8, q: 4, o: 2, v: 5}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxjjjjdju. What is prob of sequence xxj?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f - 9*b - 80 = 0, -115*b = -3*f - 113*b + 31 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-31)\/l)\/(l\/(l\/(l*l\/l**(-13)))*l))**(-2\/7) assuming l is positive.\nAnswer: l**(96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-10)\/51)\/((-285)\/(-171)). Suppose i + i - 4 = 0, i + 10 = 4*n. What is the closest to -2\/5 in -0.2, n, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -11429 or -194268\/17?\nAnswer: -194268\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 361 + -346. Suppose 3*i = -w*i + 11574. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01007321 rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10*t**5 - 5034*t**4 + 2*t**3 + 337201*t**2.\nAnswer: -600*t**2 - 120816*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 214506 (base 10) to base 6.\nAnswer: 4333030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -10.7666879 to 2 decimal places.\nAnswer: -10.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2337, -5045, -7745, -10431, -13097, -15737?\n\"Answer: k**3 - 2*k**2 - 2709*k + 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the first derivative of -5*m**2\/2 - 22*m - 3141. What is x(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 292, 650, -2, -4 in descending order.\nAnswer: 650, 292, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 123 is divided by 105?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 6 - (-16 + 16 - (0 - 2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**2 + 3*m + 2. Let x be n(-6). Suppose 5*p - 107 = -4*s + 273, 0 = 3*p - 5*s - 265. What is the highest common factor of p and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105 - 45 = 5*n. Let p be (-2)\/(-8) - n\/(-24). Is (0 - p) + 580\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -33  (b) 0.1  (c) -1  (d) -2  (e) -5  (f) -0.04089\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4  (b) -50  (c) 4  (d) 1\/12  (e) 4.8  (f) 7  (g) -2\/363\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 3*p - 75 = -2*l, -2*p = l - 15. What is the remainder when l is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*r = -2*r - 75 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -93, -99, -105?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 13622021?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8606*r + 8614*r = 200 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.29?  (a) -1\/4  (b) 3  (c) -27  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 2*l + 24 = 0. Let z be (-52)\/(-130) + (-13)\/(-5). Let c be -1 - (-1)\/(4 - z) - -2. Solve h + x - l = 0, 0 = -h - c*h + 4*x - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*-2*(-5*(-2*sqrt(176) - sqrt(176)) - (4*(sqrt(176) - (sqrt(176) - sqrt(176)*-1)) - sqrt(176))) + 1.\nAnswer: -640*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5256.7072 + -0.2072. Round b to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62493158?\nAnswer: 2, 7, 13, 61, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, t: 6, c: 1, d: 3, w: 3, g: 4}. What is prob of sequence jt?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 57232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -378 divided by 457123?\nAnswer: -378\/457123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18\/(-6) - (-3)\/42*50.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3040 - -10002000?\nAnswer: 4443410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000113 to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-2)\/(((-10)\/84)\/5).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(2\/(-75)) + (-20)\/(-33 + 28)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 11\/10, 0.2, 1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d + 2*d - 2*d)*(-5 + 0 + 0)*(3*d**2 - 93 + 93).\nAnswer: -30*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -52\/81 and 67\/6201.\nAnswer: 55809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 353 = 17. Calculate the smallest common multiple of q\/(-8) - (-6)\/8 and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/(0 - 2\/(-2)). Let u be (-14)\/28*(-29 + y). Solve -7*h + 4*h = -u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23*21183.\nAnswer: -487209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 419, 10, 3 in ascending order.\nAnswer: 3, 10, 419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 12*x**2 - 516*x - 21. Let a(y) = -3*y**2 + 125*y + 5. Calculate -21*a(n) - 5*o(n).\nAnswer: 3*n**2 - 45*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 5*o + 39 = 0, -2*x + 6*x = -2*o + 38. Suppose 4*t = -0*t + 4*q + 4, -3*t + 4*q - 1 = 0. Let l = t - x. Is l greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 4392728486 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -80 - -559\/7. Let d = 15 + -8. Let o = d + -6.7. Which is the nearest to 1?  (a) r  (b) 0  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**3 + 6*w**2 + 6. Let y be l(6). Let h(o) = -5*o**3 + y*o**3 - 1 - 3*o**2 - 5*o - o**2. Give h(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12 - -7. What is the closest to -1 in i, 0.4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/10 of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 25 + -7. Let b = -13 + r. Suppose -282 = -b*l + 8. Is l a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -210 + 208. Let t = -142 - -1139\/8. Which is the nearest to s?  (a) 5  (b) -0.3  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the third derivative of -p**6\/780 - 22*p**5\/195 - 41*p**4\/39 - 160*p**3\/39 - 40*p**2 + 3. Find v such that y(v) = 0.\nAnswer: -40, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 7*g**2 + 5*g - 5. Let u(a) = 3*a**2 - 4*a - 8. Let h(d) = -3*d**2 + 5*d + 9. Let y(f) = 6*h(f) + 7*u(f). Give 4*m(c) - 10*y(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7880, -13933, -18146, -20519, -21052, -19745?\nAnswer: -16598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/12*(261\/(-297) - -1)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -104b - -4209?\nAnswer: 317a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/76368 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1  (b) -0.1  (c) -12  (d) 7\/4  (e) -0.01  (f) 1.68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 10*x**3 - 17*x**3 - 2.\nAnswer: -27*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -46009, -90353, -133033, -174049, -213401?\n\"Answer: 832*q**2 - 46840*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 2*k + 2. Suppose 4*q - 6 = 14. Suppose a - q*u = -0*a + 2, 3*u = 0. What is the smallest common multiple of s(a) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -39 + -23d0d?\nAnswer: -23d48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -5\/4, -1\/223, -0.1, 0.5, 14, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3890264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*o**2 + 405*o + 3080.\nAnswer: -5*(o - 88)*(o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of 6976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 97 - 183. Let h = o + 85.9999842. What is h rounded to 6 dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**2 + 8*j + 103. Calculate n(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 574 - 4?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 9, d: 11}. Give prob of sequence dq.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -33*k + 285. Let c be v(9). What is the remainder when (47\/10*c)\/((-4)\/10) is divided by 64?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3110, 3152, 3194, 3236, 3278?\nAnswer: 3320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 59601331?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -11*w + 7. Calculate h(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 divided by -38?\nAnswer: -9\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -1214*y - 7283. Determine n(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -19650*o + 39254. Calculate r(2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -33561 divided by 3\nAnswer: -11187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -124 - -127. Suppose 0*g + t*g = z + 558, -4*g = -5*z - 2801. Let w = -340 - z. Does 17 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z**3 - 3*z**3 + 3*z**3)*(1727 + 7977 - 30249 - 21639 - 26726 + 13612).\nAnswer: -55298*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0464013 to 4 dps.\nAnswer: 0.0464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9383 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*n**3 - 1 + 1)*(n - 4*n + 2*n) + 2*n + 5*n**4 - 2*n.\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the third derivative of -s**6\/240 + 5*s**4\/24 - 2*s**2. Let r(f) be the second derivative of d(f). Let u(i) = 2*i**2. What is u(r(a))?\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express q**3 + 1 - 78*q**2 - 4 - 20*q**2 - 4*q**2 - 4 in the form a*q**3 + j*q**2 + u*q + w and give j.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*p + 2*p + 44. Let o(u) = -3*u**2 - 12*u + 28. Let q(s) = -s**2 + 1. Let j(m) = -o(m) + 4*q(m). Let h be j(6). Which is greater: h or p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2520424013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + 13 - (15 + -3 - 27)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -118, -213, -308, -403, -498?\n\"Answer: -95*w - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 - -32646?\nAnswer: 3264b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 3*m**2 + 12*m - 22. Let l(o) = o**2 + 7*o - 13. Let q(u) = 3*f(u) - 5*l(u). Let k = -2 + 3. Let w be 2*(2 - k) + -1. Give q(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7?  (a) 1\/2  (b) -1  (c) 4  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 4) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000009134 rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h - h + 4 + 4*h - 18*h - h**2 + 17*h. Let a(s) = s - 3. Let l be a(3). Give i(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2.6*44\nAnswer: 114.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -130 (base 8) to base 6\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5 - -25. Suppose 5*g = -12*g + 136. Calculate the remainder when j is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 4*k - 3, h = -5*k + 6*h + 10. Suppose -7*i + 118 = 34. Let f = i + k. Which is the third biggest value?  (a) 0.5  (b) 3\/5  (c) 0.2  (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4489 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 6*r**2 + 3*r - 5. Let p(k) = 7*k**2 + 4*k - 6. Let b = -1 - 3. Let o(t) = b*m(t) + 3*p(t). Differentiate o(q) with respect to q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -2*s + 5. Suppose -2*x = k - 8, -2*x + 3 = -2*k - 5. Suppose 0 = m - 4*o - x, 0 = -m - o - 3 - 3. Calculate u(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4 - 31\/6)\/(9*(-16)\/(-216))\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is c933 - -3?\nAnswer: c936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*k = 14*k - 120. Solve -f + 22 = -4*s - s, 5*f = -5*s - k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1409525983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -6 + 2 + 12 - 6*w + 3. Let b(n) = -2*n + 4. Let p(h) = -11*b(h) + 4*y(h). Let f(d) = -3*d + 3*d + 15 + 3*d**2. Give p(f(a)).\nAnswer: -6*a**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 81*p - 33. Let n(k) = 5*k - 2. Let g(b) = 4*m(b) - 66*n(b). Let h(o) = -12*o + 2*o**2 + o + 11*o. Give h(g(f)).\nAnswer: 72*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000020637678 to 7 decimal places.\nAnswer: 0.0000206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = t - 1 - 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 254 + -6*4\/8*-1?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 81675 divided by 5445.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -68 + 8 + (-1 + -20 - (-64 + 21))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the first derivative of -2*c**3\/3 - 14. Let h(t) = 12*t**2. Give h(w(s)).\nAnswer: 48*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -14*d**2 - 2*d + 8. Let g(o) = -o**2 - 5*o + 32. Let y be g(3). Let x(b) = 9*b**2 + b - 5. Determine y*x(z) + 5*t(z).\nAnswer: 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-55)\/77*742\/3975. Let u = 21 + -32. What is the nearest to 2 in 0.2, 0, u, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 140 divided by 35?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 54.7023 plus -10.792671?\nAnswer: 43.909629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:39 AM and 7:48 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 - -15. Let z = k + -2. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 27*r**3\/2 - 1713*r**2\/2 - 47320*r\/3 - 193550\/3.\nAnswer: (r - 79)*(9*r + 70)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (80\/5 - 18)\/((-2)\/(-8)). Let h be (a - 0)*12\/(-24). Solve -h*i = i - 5*j + 5, 0 = j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r**3 + 10*r**2 - 6*r - 28. Let w be z(9). Sort 4, 13, w in increasing order.\nAnswer: w, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 686806 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -5*w. Let o(r) = -35735*r + 2. Give o(q(i)).\nAnswer: 178675*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -88 = 3*u - 25*u. Solve -4*c - 3*o - 4 = -4*o, -4*o = -4*c - u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 16\/196069?\nAnswer: 16\/196069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -229 + 224 + -6 + -1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**12*t**(1\/5)*(t\/(t**(3\/2)\/t*t))\/(t\/(t*t**(-1)*t)) assuming t is positive.\nAnswer: t**(117\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -2*h + 3. Suppose -17 = 5*c + 8. Calculate the remainder when 0\/4 + 38 + -1 is divided by i(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 216*a**2 - 16*a - 57. Is r(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 72 + -68. Sort -1, 1, 6, c in increasing order.\nAnswer: -1, 1, c, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 11, h: 5}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the second derivative of 25 + 16*s**2 + 8\/15*s**6 - 10\/3*s**4 - 8\/3*s**3 - 2*s + 1\/5*s**5 + 2\/21*s**7. Let w(y) = 0. What is y?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 7 - (20\/6 + 0). Let x(p) be the first derivative of 0*p**2 + 0*p + f*p**3 - 6 - 3\/2*p**4. Find the third derivative of x(s) wrt s.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3524*s + 3515 wrt s.\nAnswer: 3524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*-20188.1.\nAnswer: -6056.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34 - (-23 + 60) - (-12 + 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24630323.\nAnswer: 3643, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dudu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x. Suppose 1 = -u + 3. Let b be j(u). Suppose -b*g = 5*m + 21 - 0, 13 = -g - 3*m. Calculate the highest common factor of 10 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44*j + 44*j + 828*j**2.\nAnswer: 828*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 253, 378, 593, 898, 1293?\nAnswer: 1778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes after 2:47 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000787991 rounded to 5 decimal places?\nAnswer: -0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 19129.29 and 1.\nAnswer: 19129.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -5*s + 29. Suppose -s*a + 3*a + 28 = 5*w, -1 = -a. Suppose w*g = 1 + 4. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.102 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j - 3*m - m - 1200 + 1130 = m, 0 = -3*j + 4*m + 63 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.8 in 3, -32.2, 94, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(192) + 2)*2.\nAnswer: 4 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -126.63014 to the nearest integer.\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in eleven halves of a millennium?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2*(-3)\/(9\/(-6)). Let w = u + 5. What is the first derivative of w - 2*t + 2 + t - 6 wrt t?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 6 + 4)*(-1844*w**3 - 685*w**3 - 4707*w**3 - 2442*w**3) as k*w + v*w**3 + x + q*w**2 and give v.\nAnswer: -9678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 483*s = 489*s - 18. Suppose s*l - 4*l = -t - 16, -4*t = -l + 16. Calculate the greatest common factor of l and 400.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11011000111000010000100 - 111?\nAnswer: 11011000111000001111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 14, 78, 176, 302, 450, 614, 788, 966?\n\"Answer: -f**3 + 23*f**2 + 2*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -242.9 to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6.949 + -0.051. Which is smaller: v or 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v\/(((v\/(v\/(v*v**(-1))))\/v)\/v))\/v)**(1\/9))**(-23) assuming v is positive.\nAnswer: v**(-46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 4*a - 1. Let g be z(-1). Let l be 10\/45 + 43\/9. Let s = l + -3. Sort 0, s, g in ascending order.\nAnswer: g, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 4*p + 2. Let t be v(-1). Let n be 8\/(-3 - -3 - t). Calculate the highest common divisor of n and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*j - 23*j = -203. Sort 4, 3, -39, j in decreasing order.\nAnswer: 4, 3, j, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 2*r**3 - 88*r**2 + 84*r + 91. Let g be x(43). Put -2, g, 7, -26 in descending order.\nAnswer: 7, g, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2390 - 293 = -699*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r\/(r\/((r\/r**(2\/41))\/r))*r\/(r**(1\/22)\/r) assuming r is positive.\nAnswer: r**(1719\/902)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 + -6. Let t(s) = 2*s + 1. Let j(o) = -5*o - 2. Let m(n) = -4*j(n) - 7*t(n). Give m(f).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the first derivative of -8\/3*r**3 + 4*r - 2 - 7\/2*r**2. Let o(u) = 9*u**2 + 8*u - 5. Let t = 4 + -11. Calculate t*w(z) - 6*o(z).\nAnswer: 2*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39099467.\nAnswer: 11, 433, 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*q**5 + 901*q**3 - 2*q**2 - 77362*q?\nAnswer: 240*q**2 + 5406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 407, 23, 6 in descending order.\nAnswer: 407, 23, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 107404966 to the power of 1\/3, to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-2)\/(-4)*4)\/14. Let f(o) = o**2 + 2*o + 2. Let r be f(0). Let m be 18\/40 - 4\/20. What is the nearest to m in 2\/5, l, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((310\/(-189))\/1 - (-15408)\/8988)*(-1)\/6\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*g = 18*g - 64. What is the highest common factor of 128 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*k**2 + 12*k**2 - 3*k**2 - 3*k**2.\nAnswer: 19*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10111 + 10108. Let f = -10.4 - -11. What is the closest to -1\/4 in f, 0, z, 1\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 36*f**2. Let v(z) = 2*z + 15. Let s be v(-7). List the prime factors of o(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b**2 - 12*b - 2. Let s be c(7). What is s rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*o**2 - 3*o**2 - 531*o**2.\nAnswer: -498*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -39  (b) 10619  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(114)\/(sqrt(30)\/(-2*sqrt(5))) + 4 + (sqrt(152)\/sqrt(4))\/sqrt(2).\nAnswer: -sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*x = 2944 - 3164. Which is the second biggest value?  (a) -2  (b) x  (c) -4  (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12270902479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -963*a**3 + 961*a**3 + 3 + 272.\nAnswer: -2*a**3 + 275","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.011743682 rounded to 5 decimal places?\nAnswer: 0.01174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 11*r. Let t(b) = 2*b**2 - 12 + 12. What is l(t(q))?\nAnswer: 22*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -0*m + 38. Suppose 0 = 3*q - 2*q + m. Let l be 8\/q*1\/2. Which is the nearest to 3?  (a) 0.3  (b) l  (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**2 - 2*m + 1. Let g be y(1). Suppose g + 5 = -x. Which is the smallest value?  (a) 0  (b) 1  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**2 - 386*j - 37249.\nAnswer: -(j + 193)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(32) + -2 + sqrt(512) - ((sqrt(66)\/sqrt(3))\/sqrt(11) + -4*(2*sqrt(2) - sqrt(2))).\nAnswer: -2 + 23*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72) - 2*sqrt(72))**2 + (sqrt(112)\/sqrt(7))\/sqrt(8) + sqrt(2).\nAnswer: 2*sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 119\/5, -1, -0.025, -5\/2, -0.1?\nAnswer: 119\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -103064410 + -4?\nAnswer: -103064414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/65  (b) 3\/5  (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 59108670?\nAnswer: 2, 3, 5, 29, 7549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(50)*-5 - sqrt(50)))\/sqrt(10))**2 + sqrt(45)\/(3*sqrt(1296) - sqrt(1296)) + -2.\nAnswer: sqrt(5)\/24 + 6478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 76*o - 24. Let h(l) = 2*l - 1. Let p(k) = 120*h(k) - 5*r(k). Let z(w) = 4*w. Give p(z(s)).\nAnswer: -560*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.53 + 7.53. Let l = 216 + -1515\/7. What is the third biggest value in -2, l, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.4 - 0.9. Let h = i - 0.35. Round h to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence was when three letters picked without replacement from {s: 1, z: 3, h: 1, w: 3, a: 1, r: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 42 - 9. Suppose 0 = -11*s + 132 - j. Suppose 4*l = s*l - 165. Calculate the remainder when 97 is divided by l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1))**11\/(k**(-1))**(-2\/61) assuming k is positive.\nAnswer: k**(-673\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 90104 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, y: 1, a: 1, k: 1, l: 1, d: 1}. What is prob of picking 1 a and 1 s?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 17305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7862?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 84 + -81. Which is the nearest to -1?  (a) -0.08  (b) -0.5  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 1.9, -0.4, 1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m = 7*m + 3*d, 3*m = -2*d + 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-4))\/(((-16)\/(-64))\/((350\/(-4))\/(-5))).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(1\/27)\/(d**(-2)*d))\/((d**(-21)*d)\/d**27) assuming d is positive.\nAnswer: d**(1297\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 919603 is divided by 1936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -88 by -26.\nAnswer: 44\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1143 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**3 - 5*d**2 + 4*d - 6. What is the remainder when 43590\/330 + (-6)\/(-1) - 5\/55 is divided by o(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84969 is divided by 1050?\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4584566s to nanoseconds.\nAnswer: 458456600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-15) - (-35)\/(-11550)*168\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-16)\/c**(2\/63))**23 assuming c is positive.\nAnswer: c**(-23230\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 522140?\nAnswer: 2, 5, 26107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-48)\/(-2484)*(480\/27 + 312\/1404)?\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**3 - 33*n**2 + 33*n - 38. Calculate y(32).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100000001 + -10?\nAnswer: 11111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3\/(-402))\/(2\/4). Let m = r + 137\/201. What is the closest to -1 in 0.5, m, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11346 by -93.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*a**3 + a**3 + 2*a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 not equal to -1\/2463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 118, 94, -4, -212, -566, -1102?\n\"Answer: -6*s**3 - s**2 + 21*s + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 3822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = -11*q - 18. Let o(z) = 18*z**2 + 8*z + 7. Is o(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 + -2)\/((-4)\/42). Suppose o - 1 = m. Suppose -3*l - 20 = -5*l. Calculate the highest common divisor of l and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -5*g + 5 - 3*g**2 + 9 - 16 - g**3. Let b be x(-2). Solve -b*t = -5*t - 3*c, -4 = 4*c for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 12.12 and -229?\nAnswer: -2775.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67*f = 63*f + 20, -4*b - 4*f = -592. Let y(a) = -a**3 - 6*a**2 + 2*a - 5. What is the remainder when b is divided by y(-7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 634, 726, 878, 1120, 1482, 1994?\n\"Answer: 5*g**3 + 57*g + 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**3 - 9*c**2 - 9*c - 8. Let w be v(-8). Suppose w*a = -4*a. Suppose a = 5*s - 6*s + 3. Solve -3*o = -0*o + 5*h - 18, 0 = -4*o + s*h - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 38, 134, 314, 596, 998?\nAnswer: 1538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.9 in -0.4, -1, 2\/5, 1606?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 30309285?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1 and 11.67895?\nAnswer: -11.67895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 3 - (8 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 3 + 0 + 2*l)*(-4 + 4*l - l + 2) to u*l + a*l**2 + i and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = 18*t + 73, -t = -5*n - 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -312401*u = -5*v - 312404*u + 59, v - 69 = -5*u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 61 = 39. Let t be (-2)\/(-4)*40*8\/q. Let n(i) = -i**2 - 4*i + 7. Let u be n(-5). Solve -2 = -u*r + t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 595681 is divided by 49629.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -29, 0.4, 5, 3 in descending order.\nAnswer: 5, 3, 0.4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqooqkqokqqao. Give prob of sequence kk.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 385914.8 rounded to the nearest 1000?\nAnswer: 386000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(2 + (sqrt(250)*2)\/(sqrt(10)\/sqrt(5)*-3)) + -3.\nAnswer: -15 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes after 8:07 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z. Let h be -38*1\/2 + 3. Let b = h - -18. Let g(u) = -u**b - 5*u**2 + 0*u**2. Give a(g(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*-0.4563684.\nAnswer: -0.13691052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -0.1, 5, -208?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (55\/22)\/(20\/(-16))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 552a355 + 2?\nAnswer: 552a357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (-2*(-3 + sqrt(3) + sqrt(144)\/sqrt(3)) - (sqrt(33)\/((sqrt(132) + sqrt(132)*-1 - sqrt(132))\/sqrt(12)) + -1)))**2.\nAnswer: -54*sqrt(3) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -112110 (base 3) to base 14\nAnswer: -1dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2*y - 3*y + 12*y)*(10 - 5*y**2 + 3*y**2 - 23).\nAnswer: -14*y**3 - 2*y**2 - 91*y - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in fifty-two fifths of a millennium?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*y + 5*y - y + (-2 + 1 + 3)*(-5 + 5 - 5*y))*(148 - 148 - 16*y) in the form q*y**2 + m*y + g and give q.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -2*t**2 + 2*t + 1. Let d be s(-1). Let j(w) = -3*w**3 + w + 2. Let f be j(2). What is the common denominator of ((-6)\/f)\/(d\/(-43)) and -99\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x*x\/(x\/(x\/(x\/(x*x*x**(4\/5)\/x))*x))))\/x*((x*x**(2\/9))\/x)\/x)\/(x**(2\/9))**(-2\/27) assuming x is positive.\nAnswer: x**(-5542\/1215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-1)\/(-12))\/(-2 - 90\/(-40)). Let w(x) be the first derivative of 1\/3*x**3 + 0*x - i*x**2 - 6. Factor w(j).\nAnswer: j*(3*j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3 - -1)\/((-1)\/(-3)). Let t be (9\/s)\/(3\/(-4)). Suppose 0 = 5*q - 4*r + 8 + 10, 2*r = -t*q. What is the second smallest value in 0, 3, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*r**2 - 258*r**3 + 998*r**3 - 275*r**3 - 245*r**3 - 241*r**3.\nAnswer: -21*r**3 - 10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -49 - -50. Let z(j) = 3*j - 1. What is z(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 186 - -456. Let g = -615.3 + j. Round g to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36337740 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:24 PM and 6:12 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 452*d + 6115. What is a(-13)?\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1470)\/sqrt(6)*-4 - (-2 + (sqrt(60)\/sqrt(768) - sqrt(5))**2))*5.\nAnswer: -140*sqrt(5) - 585\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 365 and 757448?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**3 - 8*f**2 + f - 4. What is r(-8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4.7 - 5. Let o = -16 - -8. Let x be (3\/o)\/((-3)\/(-2)). What is the smallest value in x, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -24 + 12. Let l = r + 3. Let k = 10.34 + l. Round k to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-178)\/(-40) + 2\/(-1) and (-6)\/15 + 9\/(-30).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1.2, 0.3, 2\/9, -2, 0.39 in decreasing order.\nAnswer: 5, 0.39, 0.3, 2\/9, -1.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w**3 + 8*w**2 - 2*w - 19. Let t be q(8). Let o = t + 123. What is the remainder when o is divided by (16 - 10)*(-3)\/(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-4\/5)*k*k**16\/k*(k*k\/(k*k**(10\/11))*k*k*k)**35)**45 assuming k is positive.\nAnswer: k**(61074\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that o**3\/6 - 155*o**2\/6 + 423*o - 1644 = 0.\nAnswer: 6, 12, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 51\/(-108) + 1 - -1 and 107\/42?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.09, -4\/27, -3\/4, 1, -4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1761851*z**3 + 2659659?\nAnswer: 5285553*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 300305756*q**3*s - 126124309*q**2*s - 3*q**2 wrt q?\nAnswer: 1801834536*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 383.5 - 1268.\nAnswer: -884.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -3*s + 29. What is the units digit of v(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -433 divided by -58\nAnswer: 433\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w**3 + 11*w**2 - 13*w + 51. Let x be q(10). Solve 3*b - x = -4*s, -2*s = -5*s + 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -4 - d**3 + 2*d + 2*d**2 - 3*d**2 + 8*d**2 - 2*d**2. Let o be w(5). Does 14 divide ((-7)\/(-2))\/(o\/108)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 9*p**2 - 2*p - 1. Let y be o(-2). Suppose -4*d + 85 = -3*q, 5*q + y = 2*d - 0. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*h - h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 0.1  (b) 4\/3  (c) -6  (d) 71  (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**3\/6 - 42851*s**2\/6 + 1497263*s\/3 + 1026744.\nAnswer: (s - 42781)*(s - 72)*(s + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 5, t: 11, h: 2, l: 2}. Give prob of picking 1 t and 1 z.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 18 + -10. Suppose 3*z - 4*c + 1 = j, -2*z + 43 = 5*c. Let t = 22 - z. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -45*a**3 + a**2 - a + 1. Let n be b(1). Let z = 70 + n. Let v = 41 - z. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 408\/14382*(5\/(-2) + 1)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 600 = 17*p. Calculate the least common multiple of p and 35.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 20 and 6100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 3*f**2 + 86*f + 443. Give a(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (14\/(-4))\/((-3)\/84). Let v = q - 64. What is the highest common divisor of 17 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the first derivative of 1 + 2\/3*t**3 - t**2 + t. Let w(i) be the first derivative of x(i). Find the first derivative of w(s) wrt s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 732911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -1, 19, 2\/73, -1\/4 in ascending order.\nAnswer: -3, -1, -1\/4, 2\/73, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1042369062?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 52 + -141. Let r = o - -18. Let f = -70.999884 - r. What is f rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.41 + -1.11. What is the second biggest value in 5, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*c - 13*c + 32 = -4*k, 0 = 2*k + 3*c for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.06?  (a) -0.1  (b) -0.3  (c) 3  (d) -1\/377\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 2 b when four letters picked without replacement from {b: 2, u: 2, w: 1, d: 1, j: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(1\/3))**(-3\/20))**(-1\/35))**(-31) assuming t is positive.\nAnswer: t**(-31\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -102746 (base 14) in base 15?\nAnswer: -ab616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*b + 2*b - 2*b)*(4 - 3 + 1) - 5304*b + 14205*b - 6932*b as k + j*b and give j.\nAnswer: 1965","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 25*l**2 - 2*l - 9. Suppose y - 3*g = -10 + 2, 0 = 2*y + 4*g - 24. Let d(p) = 25*p**2 - p - 9. Let q(i) = y*s(i) - 5*d(i). Differentiate q(z) wrt z.\nAnswer: -50*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5843 is divided by 355.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 2, 63 in decreasing order.\nAnswer: 63, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c + 3*c = -12. Suppose 0 = r + 2*n + 3*n - 10, 2*r + c*n = 8. Solve r = -a - a + 3*i - 13, 4*i = -a - 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**3 - 12*x**2 - 18*x + 16. Let p be q(-10). Is p*3\/6 - -161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 238689371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4107 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9228.05 - -8552. Round j to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 5, u: 8, s: 1, z: 2}. What is prob of picking 1 s and 3 o?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 21 and 1211?\nAnswer: 3633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 + -3a?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 529171 and 649?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -124*b - 91. Is p(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 = 2*q + 4*p, -3230*p + 3233*p = 5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/(-3)*0 + 2. Suppose -a*s + 5*l = -30, 4 = s - 2*l - 9. Let b = 0.1 - 0.1. Sort b, s, 4 in decreasing order.\nAnswer: s, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 750*o - 114 - 3179 = -505 + 3212 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 + -1. Let c = s + -1.99992. Round c to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2740, -2773, -2824, -2893, -2980, -3085?\nAnswer: -3208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10 - 6. Suppose -3 = -h*j - 19. Sort j, -2\/5, -0.2.\nAnswer: j, -2\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-12)\/(-2) - (-6 + 10). What is the greatest common factor of j and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 11, 0.3, -3, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j**2 + 2*j**2 - j**2)*(-7397 - 10208 - 16963 - 90 - 3682 - 15913).\nAnswer: -54253*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**2 - 8*q - 4. Let a be w(-6). Let x be a + (-2)\/2*0. Is 2\/x*-2*-106 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 4 - 8)*(-10*k + k + 0*k - 3) to the form d + q*k and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 68884935?\nAnswer: 3, 5, 7, 17, 37, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.7 + -0.7. Let t = g - -1. Let k = -14\/13 - -128\/143. Which is the closest to -0.1?  (a) t  (b) k  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**2 - 9*q - 9. Let n be z(-7). Suppose 0 = -r - 4*d - 9, -r + d + 7 = -3*d. Let s = r + n. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 - 4. Let s(m) = m**2 - 4*m + 2 + 3*m + m**3 + w*m. Determine s(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -13962, -13979, -13994, -14007, -14018, -14027?\n\"Answer: n**2 - 20*n - 13943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-432)\/360 + (-162)\/15.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 22 - 16. Let k be ((-2)\/(-4))\/(9\/m). Let r(i) = i - 6. Let f be r(5). What is the closest to f in 1, 2\/11, k?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -32*a**3 + 2*a + 6. What is the units digit of p(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 238 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 178, 883, 2060, 3709, 5830, 8423?\nAnswer: 11488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the second derivative of 40*g**2 - 4*g - 1 - 1\/2*g**3 + 55\/12*g**4. What is the first derivative of m(c) wrt c?\nAnswer: 110*c - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*c**2 + c**2 - 3*c**2)*(9*c**3 + 0*c**3 + 18*c**3) - 1 - 1 - 2*c**5 + c**5.\nAnswer: 53*c**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 7 divided by -339\nAnswer: -7\/339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.05163 and 1867.5?\nAnswer: -96.419025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4080 is divided by 699.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(-1\/39))\/(q\/((q**(-11\/7)\/q*q)\/q)))**(1\/62) assuming q is positive.\nAnswer: q**(-709\/16926)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -108 - -103.3. Let h = 11.3 - 12. Let m = h - d. Put m, -3, 0.5 in increasing order.\nAnswer: -3, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.071  (b) -1\/6  (c) 3.9  (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-7\/3)\/((a\/a**9)\/a))\/(a*a**(3\/2))**0 assuming a is positive.\nAnswer: a**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the third derivative of k**4\/12 - k**3\/2 + 2*k**2. Let w(c) = -2*c + 2. Let u(r) = -4*p(r) - 6*w(r). Let d(t) = -3*t. Determine d(u(b)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 784*p - 828*p - 1496 for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -489 (base 11) to base 6.\nAnswer: -2405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -316, 144, -19, -1?\nAnswer: -316","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**2 + 4*j - 3. Let a be y(-5). Let m(n) = n**a + 8*n - 8*n + 0*n**2. Let g(t) = 4*t**2. What is g(m(r))?\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 190093 is divided by 67.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 61?  (a) 3  (b) -1\/8  (c) 0.1  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2105091780 a multiple of 781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 89777 or 89773?\nAnswer: 89777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 <= 345\/686?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 minutes before 9:30 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l + 147*l - 580752. List the prime factors of l.\nAnswer: 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/15)\/((1280\/(-1024))\/(6\/(-8))).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 11 + (-47 + 21 + -10 - 10)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4495801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 885 + -883. Find the second derivative of 178*j**c - 40*j + 357*j**2 - 198*j**2 - 88*j wrt j.\nAnswer: 674","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 63\/4*c - 49\/4 + 1\/4*c**3 - 15\/4*c**2.\nAnswer: (c - 7)**2*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18873649343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -1002*d**3 + d**2. Let m be p(1). Let o be ((-12)\/(-14))\/((-13)\/m). Calculate the highest common divisor of o and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 40 and 760.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -29 + 11. Let m = g - -32. Let h(z) = z - 12. Let q be h(m). Solve 0 = q*o + 2 - 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o + 75 = -5*o - 3*n, 3*o + 31 = n. Let y(u) = -u - 1. Let g be y(5). Is 11*1*o\/g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.23 and 45234?\nAnswer: 10403.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 849*w**2 + 8*w - 9. Is 18 a factor of g(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*d**2*s**2 + 4*d**2*s - 16554*d**2 + 222*s**2 with respect to s.\nAnswer: -4*d**2*s + 4*d**2 + 444*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 133*f + 70. Calculate u(-1).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -259*a - 5. Let x be l(5). What is x rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -39, 2, -1, 48, -3, -546 in decreasing order.\nAnswer: 48, 2, -1, -3, -39, -546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8) - (sqrt(96) + (-4*sqrt(96) - sqrt(96)) + sqrt(96) + sqrt(96))\/sqrt(12))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 2*t**2 + 22*t + 9. Let d be f(-11). What are the prime factors of (-9)\/((-162)\/564)*d?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/(-39)*1287\/99?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1504 and 32031816.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (24\/60)\/(2\/120)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.06 - 1.7958?\nAnswer: -1.7358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(539)*2 + 0 + -1*sqrt(539) + 0 + (sqrt(539)*-1 + 1 - 1*2*sqrt(539)))**2.\nAnswer: -168*sqrt(11) + 12942","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -4147.29241 rounded to one dp?\nAnswer: -4147.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 680 a factor of 134530520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*y**3 + 0*y**3 - 10*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - s = 4*k - 20, 0 = 4*k + 3*s - 16. Let l = k - 2. Suppose -4*c - c + 25 = 0. What is the remainder when c is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f + 5*y + 15 = 0, -4*y + 24 = 2*f + 54 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.3  (b) -1\/160  (c) -2  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**3 - 10*h**2 + 11*h. Let m be s(5). Let v = m + 102. Calculate the highest common factor of v and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (10 - 2) + ((38 - 116) + 66 - (-2 + -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14438 is divided by 6574?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2124 and 944?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hmdx when four letters picked without replacement from dmmddmxmmdh?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 5, 18.16, -4, -1, -65\/2?\nAnswer: 18.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 490\/4303 or -1?\nAnswer: 490\/4303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**4 - 5*n**3 + 4*n**2 - 4*n - 8. Let l(a) = -a**4 + 11*a**3 - 7*a**2 + 7*a + 14. Let s(v) = 4*l(v) + 7*x(v). Factor s(f).\nAnswer: 3*f**3*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z - 1 + 19 = 2*j, 0 = -2*j + 5*z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5030*f + 1298*f - 12651*f to the form w*f + d and give w.\nAnswer: -16383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1247307224.\nAnswer: 2, 157, 993079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ob when two letters picked without replacement from bbobo?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, -44, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i*i**(2\/17)))\/i)\/(i**(-1)*i)*i**(-6)\/i**8 assuming i is positive.\nAnswer: i**(-257\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(1\/4))**(-15\/2))**2\/(y*y*y*y\/(y*y*y**(-1\/2))*y*y*y\/y**(-4)*((y**(1\/4)*y)\/y)\/(y*y**(-2\/9))) assuming y is positive.\nAnswer: y**(-229\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 23928?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 9\/21 + (-12)\/28. Is 6 + (-5 - 0 - -9112) - k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -449 = -5*f - 2*x, -4*f - 11 = 2*x - 371. Let d = f + -81. Calculate the greatest common divisor of 48 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 3*n = 0. Suppose -3*y = 3*r - 2*r - 37, n = 4*r + 8. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 422 and 7?\nAnswer: 2954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r*(r**(-7)*r)\/r))\/r**22*r**(-22\/7)*r**(-10\/13) assuming r is positive.\nAnswer: r**(-1721\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 + 57?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -437\/4 + 110. Let c = 46 + -139\/3. What is the third smallest value in c, t, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18591757?\nAnswer: 18591757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2590 and 13892830.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((-52)\/1001)\/((2\/(-8))\/(329\/(-3384)))\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is q in q**3 - 101*q**2\/5 - 17*q + 21\/5 = 0?\nAnswer: -1, 1\/5, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2669546?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = 3*l + l - 449, -4*l + 458 = 2*v. Suppose 0 = 6*s - 29 + l. Let t(g) = g**2 + 13*g - 9. Let m be t(s). Solve -m*h + 4 = -1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41 = -s + 5*s - 3*b, -b = s - 12. Let g(m) = -2*m + 27 - m + 30 - 79 + 25 + s*m**2. Let a(r) = -r**2 + r - 1. What is -3*a(i) - g(i)?\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 4*s - 352 = -908, 0 = -5*a - s - 559. Let j be (a\/(-20))\/(1\/5). Suppose -2*m = -0*m - j. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 105 and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*c + 70*c - 19*c - 18*c - 17*c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*q - 4, 4*q = u + 21. Let r be (3 + -1)\/(u\/2). Let a(z) be the second derivative of z**5\/20 + 5*z**4\/12 + z**3\/3 + z**2 - z. Give a(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.6 + -37.4. Let q = u + 37.53. Let c = q + -0.3. Round c to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 77*z + 3. Let j be u(-5). Let v = j - -561. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 340 and 850?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -11748.771 minus -3?\nAnswer: -11745.771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 296*n**2 - 5*n - 608. Let m(c) = 296*c**2 - 4*c - 610. Let l(y) = -4*j(y) + 5*m(y). Find the first derivative of l(h) wrt h.\nAnswer: 592*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9 + -6. Let g(b) = b - 1. Suppose -c + 5 = 4. Let f be g(c). Solve f = -t*h - 14 - 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 11 - 5 = r, -j - 4*r = -27. Suppose -2*c - 225 = -j*c. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7 - -3. Let w = -3.2 + 2.7. Which is the nearest to 1?  (a) y  (b) -3  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 69 - 66. Suppose -2*p = -2*v - 8, -x*p + 0*v = -v - 2. Let a be 54\/36 - 1\/4. Put 2\/33, p, a in descending order.\nAnswer: a, 2\/33, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.014983 to 4 decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**2 - 10*s + 8. Let v be h(9). Sort 29, v, 0.\nAnswer: v, 0, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 2 j when three letters picked without replacement from {a: 1, r: 2, o: 4, j: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1901, 7669, 17473, 31469, 49813, 72661, 100169, 132493?\n\"Answer: 26*n**3 + 1862*n**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nwwmvpzn. Give prob of picking 1 m and 1 z.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 94695202.\nAnswer: 2, 7, 17, 19, 43, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 380 and 3259279.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-30)\/(-15) - (4\/2 + -31). Suppose 0 = -u*v + 32*v. Put -3, v, -17 in descending order.\nAnswer: v, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (20\/6 + -2)*72. Suppose 0 = 6*s + 6 - n. Suppose -4*g = 4*q - g + s, -2*g - 10 = -q. Solve 4*o - 6 + 2 = q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 78655542.\nAnswer: 2, 3, 7, 1872751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4673\/86 - -2315\/43. Let m = -0.5 - -0.3. What is the closest to t in m, 2, 17?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.150847 + -0.05\nAnswer: 0.100847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 157577 < 157567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 258 = 252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1119 + -1129. Which is the second smallest value?  (a) 5  (b) w  (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 2*i**2 - 75*i - 36. Calculate u(38).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 + -27b?\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2595888 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -94*t - 2558. Let f be j(-54). Which is greater: f or 12593\/5?\nAnswer: 12593\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -389, -781, -1173, -1565, -1957, -2349?\nAnswer: -2741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2568729479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-1603)\/(-7) - -9) + 11.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9 - -26. Differentiate -y - 3*l**3 + 0*l + 22 + 0*l with respect to l.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 171 = 21*q - 76*q - 214 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20, -30, -0.11.\nAnswer: -30, -20, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5110, 10197, 15284, 20371, 25458?\nAnswer: 30545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26521705 divided by 5304341.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 1341 = h + 1389, -4*j - 61*h = 363 for j.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 1148*z + 273. Let n(w) = 575*w + 126. Let m(f) = -6*i(f) + 13*n(f). Let a(b) = 2*b - 5. Let d(j) = j - 2. Let l(h) = 2*a(h) - 5*d(h). Give m(l(p)).\nAnswer: -587*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 683 - 10091 = 392*u for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9 - 28\/3. Let k = -144 + 24. Let b be ((-4)\/10)\/(k\/75). Sort b, 0.4, y in descending order.\nAnswer: 0.4, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 67\/4 or 17?\nAnswer: 67\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l = 26*x + 136, 14509*l - 14514*l = -3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uy when two letters picked without replacement from {x: 1, u: 1, s: 2, y: 1, m: 2, n: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11053 - -11242. What is the highest common divisor of 903 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 12 = 525. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1305 = -40*p - 47*p for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u - 13*u - 26 = -8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6)\/(-3 + (-18)\/(-4)). Let f be (0\/(-3))\/(1 - -1). Let c be 2\/x*-10 + f. Solve 4*y - 2 = 5*d, c*d + 3*y - 6*y = -4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1337*d*s**3 + 1006*s**3 wrt d?\nAnswer: 1337*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -7*w**2 - 7*w - 7. Suppose -2*n + 12 = -0*n. Suppose -18 = -326*x + 335*x + 27. Let o(i) = -6*i**2 - 6*i - 6. Calculate n*o(z) + x*k(z).\nAnswer: -z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 10\/2*30\/(-25)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a + 19. Let r be y(16). Suppose -21 = -r*x + 36. Let s(g) = -2*g. What is the remainder when x is divided by s(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5448213 and 0.4.\nAnswer: 2179285.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 140 and 378?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the second derivative of v**2 + 1\/2*v**3 - 2*v + 0. Let h(z) = -1 + 1 + 5 + 7*z. Calculate 2*h(a) - 5*m(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i - 3*i + 10. Let p(a) = 15*a - 11. Let h be p(i). Suppose 2*y = 0, 0*f + 4*f = 5*y + h. Solve o = -3*o + f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -60 + 24. Let y be (1 - 1 - -1) + -1. Solve y*h - z = 3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -2*g**2 + 6*g + 12. Let u(k) be the first derivative of -k**3\/3 + 2*k**2 + 8*k + 3903. Give -8*u(n) + 5*w(n).\nAnswer: -2*n**2 - 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1*(2 - (17 + -2)). Let w = t + -8. Suppose g = -5*s + 10, -5*g - w*s + 79 = 9. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5445905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-456)\/(-2432))\/(5\/(-8)))\/((-6)\/(-16)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 53 - 58. Let f be -1 + 20\/(-14) + 7 + k. Which is the third smallest value?  (a) -5  (b) 1  (c) f  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*((sqrt(432)*-2)**2 - sqrt(432)) + 4)*4 - -2*(1*(sqrt(3) + -1) + -5)*-5.\nAnswer: -154*sqrt(3) + 20812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12 + -8. Suppose 157 + 19 = n*z. Does 16 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1504*d**2 - 9864*d + 9864*d - 94*d**2.\nAnswer: -1598*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + 0 - ((-240)\/56)\/(55\/(-154))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 - 2023?\nAnswer: -2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 116 + -117. Which is the third smallest value?  (a) -2\/11  (b) 1  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1080 by 270.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1408, -1489, -1568, -1645?\n\"Answer: f**2 - 84*f - 1325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3.9246 - 3.9150802. Round p to four dps.\nAnswer: 0.0095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*o + 855 = -741. Suppose 8*h - o = -52. Let b = h - 22. Solve b = -0*g + g - 3*p + 6, 2*g = 3*p - 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 + 6 = -5*l. Let n(d) = -5*d**3 + 3*d**2 + 3*d. Let f = 5 - 2. Let k(x) = 5*x**f - 2*x - x**2 - x**2 - x**3. What is l*k(p) - 2*n(p)?\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -9.8, 30\/13, 0.1, -4\/51, -2, -1, -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h + 5. Let r be a(-6). Let f be 1 + r + 5 - 1. Let q be (0 + 7)*(-3 + f). Solve 0 = -5*y - 8 - q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7639 - -7662. Suppose 197 - 52 = 5*q. Let d = q + -19. Calculate the smallest common multiple of d and k.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 18247809 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1848)\/(-1260))\/(210\/225)?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum -63636912 and -0.4.\nAnswer: -63636912.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/5?  (a) 0.4  (b) -1  (c) 3  (d) -7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -14, -36\/5, -0.216?\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*(-8)\/(-128)*-8*-2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 25368 and 10703182.\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -109754352 by 9.\nAnswer: -12194928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the second derivative of 0 + 0*c**3 - 30*c - 33\/2*c**2 + 11\/4*c**4. Differentiate v(f) wrt f.\nAnswer: 66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 + 2*f + (f + 4*f - 2*f)*(1 - 3 + 4).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*n + 7*n**3 - 8*n + (-2*n**3 + n**3 - 2*n**3)*(1 - 1 + 2).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 5670 times -2\nAnswer: -11340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and -431.\nAnswer: -1724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -259911962*y**3 + 210637472*y.\nAnswer: -1559471772*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -931 and -0.3.\nAnswer: 279.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -3*y. Let w be b(-1). Suppose 2*q - 10 = -3*r + w*q, -5*r + q = -20. Put -1, 2, r in descending order.\nAnswer: r, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 21 = -c, 14 + 77 = -5*q - 2*c. Let p(l) = -l**2 - 23*l - 21. Determine p(q).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -18  (b) -0.297  (c) -0.28  (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-14)*l)\/((l*l*l*l**14\/l*l)\/l))**(-26) assuming l is positive.\nAnswer: l**754","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n + 9. Let j be i(5). Suppose -j*a = -0*a + 8. Let u = 4 - a. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -4  (b) -5  (c) 1  (d) -712\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 36.44 to zero decimal places.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 178511, 1427504, 4817631, 11419460, 22303559, 38540496, 61200839, 91355156?\nAnswer: 130074015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the third derivative of i**2 + 0*i - 1\/35*i**7 - 1\/12*i**4 + 0*i**3 - 1\/60*i**6 + 0 + 1\/10*i**5 + 1\/84*i**8. Find c such that h(c) = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22 - (25 + (6 - 28)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (819\/(-33))\/13*448\/384 - (-6)\/4\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 + 2*h)*(235 + 2*h - 118 - 122) in the form w + p*h**2 + d*h and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -25945637.1 * -0.1.\nAnswer: 2594563.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -0.69 times 493\nAnswer: -340.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, 0.5, 0.62?\nAnswer: 0.62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 63 + -58. Suppose l*i = -3*w + 4, i = -i - 2. Suppose 5*m + 11 = -2*r + 47, -21 = -m - 5*r. Solve -w*n = -m*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 441\/(-63) + 22\/2. Suppose 0 = 3*b - 15. Suppose 4*s = -q*u + 48, -b*u - s - 14 = -54. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -52 or -37636?\nAnswer: -37636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 5*d + 286 = -2, 4*d = -2*l + 150. Suppose 3*v + 88 = 8*v - 3*t, 4*t = 5*v - 89. What is the remainder when l is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1)\/c)**46*(c**(-3)*c)\/c*c*c**10 assuming c is positive.\nAnswer: c**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -170*a - 79*a + 32868 = 0. Calculate the highest common factor of a and 24244.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of c**5 - 2*c**4*r - 95*c**3*r + 41*c**2*r - c*r wrt c.\nAnswer: 60*c**2 - 48*c*r - 570*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 119 divided by 2951082.\nAnswer: 119\/2951082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes before 6:53 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 31 (base 10) in base 11?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and 30.6.\nAnswer: 6.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -31220111 + 303?\nAnswer: -31214303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((sqrt(117) + 1)**2 - sqrt(13)) + (sqrt(104) - sqrt(104)*-6)\/sqrt(8) + -2.\nAnswer: 12*sqrt(13) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence txp when three letters picked without replacement from ppccqxppcccccctt.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -1039*c - 276. What is the thousands digit of q(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 28400, -2, -18 in descending order.\nAnswer: 28400, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 - -5. Suppose -z*b + 0 = -5*l - 50, -50 = -5*b + l. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - s**2 + 0)*(-s**2 + 0*s + 0*s) + (4*s + 3*s + 2*s)*(-4*s + 4*s + 2*s**3).\nAnswer: 19*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -107, -226.\nAnswer: -226, -107, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the first derivative of 3\/2*c + 13 - 5\/18*c**3 + 1\/24*c**4 + 1\/4*c**2. Factor r(k).\nAnswer: (k - 3)**2*(k + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0 and 9.2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0 - 1 - -2)*4\/2. Let n(b) = -7*b + 10*b**2 - 10 + b**2 - 20*b**2 + 8*b**u. Give n(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1584998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 11b72c9 (base 14) to base 9\nAnswer: 17010116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0055604411 to 4 decimal places.\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3*-1 - 15*(-7)\/21. Let l = -6 + 9. Let 0*c + 0*c**l - 3\/5*c**f + 3\/5*c**4 + 0 = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 61*-532.\nAnswer: -32452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, i: 1, s: 1, f: 1, m: 1}. What is prob of picking 1 s and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*u**2 - 4*u**2 - u**2)*(45 - 45 + 18*u + (-3 + 3 - 2*u)*((-1 - 7 + 0)*(-1 + 3 - 3) - 1 + 4 - 1)).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6)\/2 + (32 - 25). Suppose 3*u + u = -2*k + 18, 0 = 2*u + d*k - 18. Factor 12*v + 11*v + 2*v**u - 15*v - 8*v**2.\nAnswer: 2*v*(v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 5*(936\/60 + -15). Find u such that 2\/5*u - 16\/5*u**2 + 0 + 14\/5*u**v = 0.\nAnswer: 0, 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -8*l**2 + 18*l + 59. Let w(i) = 7*i**2 - 17*i - 60. Let j(y) = 5*g(y) + 6*w(y). Does 21 divide j(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (70\/(-25))\/(5\/(-1625))?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4204765 centimeters to kilometers.\nAnswer: 0.000004204765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 257.9559739649 minus 12?\nAnswer: 245.9559739649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*w**2 + 13*w**2 - 32*w**2)*((0 - 1 + 2)*(3 + 3 - 4) + 2 - 1 + 1 + 0 - 2 + 6) to the form n*w + p*w**2 + s and give p.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1588104*s**5 + 2*s**4 + 8*s**3 + 5*s**2 + 2*s + 3127715 wrt s?\nAnswer: 95286240*s**2 + 48*s + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1724 is divided by 416.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-64)\/(4992\/195))\/((-2)\/20).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3451150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y + h + 7, -2*y - y - 5*h = -4. Let o(g) = g**2 + 8*g + 9. Let x be o(-7). Put y, 0, x in decreasing order.\nAnswer: y, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*o - 32 = -4*l, -17*l = -19*l + 4*o + 14 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -108*u + 48. Let k(r) = -15*r + 7. Let g(i) = -15*k(i) + 2*o(i). List the prime factors of g(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -22340014 - -300?\nAnswer: -22335314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 923 + -923. Let y = -166\/3 - -56. Which is greater: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - x - 5*n + 13 = 0, 4*x - 38 = 2*n. Calculate the smallest common multiple of x and ((-1296)\/(-180))\/(4\/10).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 13668 and 4422.\nAnswer: 150348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 2228*z**3 - 11*z**2 + z + 13. Is b(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 + 60 - 23) + -21?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -238*p + 228*p + 14628 = 202*p for p.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-3\/5)*o\/((o**6*o*o)\/o) assuming o is positive.\nAnswer: o**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 5, k: 4, y: 1}. 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 q(b) = 9*b**2 - 8*b + 4. Let k be q(5). Let t be (-2 - -2)*(0 + 1). Suppose 4*g - k - 119 = t. Calculate the highest common factor of g and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 22.23 - -0.77. Let m = -18 + w. Which is the closest to -10?  (a) m  (b) -0.5  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qessssees. Give prob of sequence esqs.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 6931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-1\/12)*r*r**(-21)*r assuming r is positive.\nAnswer: r**(-229\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 482 = k, 3*z - 590 = -2*z + 5*k. Suppose 5*h - z = 205. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fhvktqq. Give prob of sequence th.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -2*d**3 - 3*d**2 + 1. Let f be t(-2). Suppose 2*v + 0*v - 12 = a, f*v + a = 23. Solve -5*i + 2*h = -3*h - 15, -v*h = -5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 8\/(-12) - 20\/6. Let o be 8\/2 - q\/(-2). Find the third derivative of 0*u**4 + 3*u**o - 2*u**4 + 2*u**2 wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 184631 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 439025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Do 8\/282129 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 2*n - 8. Let a be i(5). Suppose -4*b - 7*f - 41 = -a*f, -4*f + 82 = -5*b. Let s(h) = -h**3 - 13*h**2 + 11*h - 15. Is 23 a factor of s(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -k + 9*k + 0*k + (k - k + k)*(1 + 2 - 5) + 3*k - 2*k - 3*k + (1 + 0 + 1)*(-k + k + k).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -9*m - 525. Determine b(-51).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes after 5:37 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = 5*s - 9. Let v(j) = j**2 + 5*j. Let r be v(s). Let h = 1 - 1. Which is the nearest to h?  (a) 1\/2  (b) 1\/3  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.002 + -0.034. Let x = 0.024 - n. Let o = -0.36 - x. What is o rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 4*h + 76. Give v(-8).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 0*u + 4*u = 38, 5*o - 4*u + 58 = 0. List the prime factors of (56\/(-35))\/(4\/o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -35*b - 6. Is g(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.014177518 rounded to 4 decimal places?\nAnswer: 0.0142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 22 - 0. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*q + 11*q - 866 = 0. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 92*z**4 - 2*z**3 - 17833*z**2 + 23*z - 48207?\nAnswer: 1104*z**2 - 12*z - 35666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53322 - 2*f + 95*f**3 - 53322 + 2*f.\nAnswer: 95*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000676 rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.42 + 0.02. Let i = q + 0.2. Let a = -55.5 + 55. What is the closest to 0.2 in a, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**3 - 47019615*a**2 - 47019612*a.\nAnswer: -3*a*(a + 1)*(a + 15673204)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u - 2. Let h be b(3). Let q be (1\/(-5))\/((-8)\/80). Let n(l) = l**2 + 8*l - 15. Let k be n(-10). Solve -4*j = -5*o - 7, -q*o = -j + k - h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 - -5. Let c = m + 18. Suppose 32*z = -8*z + 1480. Calculate the remainder when z is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 4*v. Suppose 4*c - 3*m - 20 = -0*m, 0 = 4*m. Let j(t) = -4*t**2 - 3*t - 3. Let u(a) = 6*a**2 + 5*a + 5. Let b(r) = c*j(r) + 3*u(r). Give p(b(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/89?  (a) -1\/3  (b) -1\/4  (c) -0.5  (d) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4237427747.\nAnswer: 7, 19, 23, 72907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 64.10463 centimeters?\nAnswer: 641046.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 337392*l + 40. Let w be (-2 - (-3)\/9)*(10 - 13). Let o be q(w). What is o 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 oth term of 37168, 42018, 46868, 51718?\n\"Answer: 4850*o + 32318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 9666 + 56?\nAnswer: 96bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -78, -634, -2150, -5106, -9982, -17258, -27414?\n\"Answer: -80*m**3 + 4*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171)\/sqrt(3)*-2)\/(sqrt(3)*2*-1).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 + 8*k**3 + 5*k**3 - 4 - 4*k**3 as j*k**2 + n + w*k**3 + h*k and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j**5\/3 + 203*j**4\/3 + 6092*j**3\/3 + 27407*j**2\/3 - 768340*j\/3 + 376544\/3 = 0.\nAnswer: -41, -28, 1\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 20 = 3*w. Let n be 5\/w*4*1. Let j(v) = 0*v**n - 2*v**2 + 2*v**2 + v**2. Let y(a) = -a**2. Give y(j(r)).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 487.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -25987*f**5 - 41018*f?\nAnswer: -519740*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*(100\/(-8))\/5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 l when two letters picked without replacement from {l: 13, h: 5}?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -67 (base 10) in base 11?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 4*l + 14 = 0, -5*l + 12 = -3*m - 3*l. Let s = 4 + m. Solve -s*n + 4 + 2 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14 (base 10) to base 7.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 77 divide 78631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -969 - -971. Find y such that 0*y + 0 - 3\/2*y**3 + 3*y**d = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41 - 25*n**2 + 41 + 26*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*w - 27*w = -5*c + 39546, 5*c = -5*w + 39570. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 3 - 4*w + 1 + 4. Let v = 1301 + -1311. What is the tens digit of d(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 2 s when four letters picked without replacement from pkepketkesssttteet.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 9689900339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -0.3, -84, -476, -5, -9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 + 8 + (337 - 371).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -45 - -47. Factor -23*r - 147 - 55*r - 6*r**2 + 36*r + 3*r**i.\nAnswer: -3*(r + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -257, -679, -1179, -1751, -2389, -3087, -3839?\n\"Answer: v**3 - 45*v**2 - 294*v + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**3 + 9*x**2 + 504*x - 2100. Let n be g(4). Suppose t + 0*t = -21. Put n, t, 1 in increasing order.\nAnswer: t, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -139 + 137. Let t be (-2 + 2)\/(-2*1). Sort -8, t, -4, j.\nAnswer: -8, -4, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 350 minutes after 10:03 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r**5 - 3*r**5 - 3*r**5)*(1 - 2 + 3) + (6*r - r**3 + 4*r**3 - r**3)*(2*r**2 - 2*r**2 - 2*r**2) + (322*r**5 + 3606*r**4 - 3606*r**4)*(-5 + 1 + 3).\nAnswer: -332*r**5 - 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**6)\/d)\/(d\/(d*d\/((d*(d*d**(-7))\/d)\/d*d)*d))*(d**0)**(-10\/9) assuming d is positive.\nAnswer: d**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 3, g: 8, i: 7}. Give prob of picking 2 z, 1 i, and 1 g.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -325, -705, -1085, -1465?\n\"Answer: -380*p + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1648 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 23 - 2*g - 2*g**2 + g**3 - 14 - 12 - 3*g**4 as q*g**2 + v*g**3 + d + c*g + p*g**4 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82*t - 101*t - 38 = 0. Sort 5, 39, t in increasing order.\nAnswer: t, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (11*q**2 - 4*q**2 - 9*q**2 + (-7 + 12*q + 7)*(3*q + 2*q - 3*q))*(-3*q - 2 + 2) to the form c*q**2 + i + v*q**3 + a*q and give v.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 22715 + -15804. Let j = v + -10111. Let y be ((-60)\/(-3))\/(2\/j). What is y rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 * -0.06386\nAnswer: 0.06386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 744 or 743?\nAnswer: 743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*z + 36 = -12. Suppose -z*r + 160 = -r. Is (r - (-2 + -1)) + (-1)\/(-1) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22 = -40*c + 17 - 75 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1224)\/561)\/((-1272)\/(-132) - 10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 2, m: 1, w: 7}. Give prob of picking 2 t and 2 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*t - 126*t + 51*t - 98*t)*(6 + 6 - 2).\nAnswer: -1870*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 451 (base 7) to base 12\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6*((44\/28 - 2) + (7314\/(-252))\/(-23)). Suppose -4*q + 20 = q. Put q, -5, t, -34 in descending order.\nAnswer: t, q, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 + 3700?\nAnswer: 3674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1054, -1071, -1088?\n\"Answer: -17*j - 1037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -137\/72 and -119\/432?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.73 * -2127.\nAnswer: 1552.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16040175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -17482774*i**2*y**3 + 8741*i**2 + 318 wrt y?\nAnswer: -52448322*i**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 310*c = 299*c - 55 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c - 4*c + 10 = 0. What is the smallest common multiple of (-2 - c)*(-32)\/(-12) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13598, -13621, -13644, -13667, -13690, -13713?\nAnswer: -13736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -211102103 + 0?\nAnswer: -211102103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4079286179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -174.903 + -0.097. Let n = -165 - j. Sort n, 2\/5, 1 in ascending order.\nAnswer: 2\/5, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 27\/4, -40 in descending order.\nAnswer: 27\/4, 3, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 11556339 to the power of 1\/3, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**2 + q - 4. Suppose -4*s = 5*c - 35, 3*c + 0*c = 3*s - 6. Let u be z(c). Let d = -10 - u. Is d smaller than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 27203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 4*z = 2*y - 38, -3*z - 14 = 2*y. Let r(b) = -b**3 - 10*b**2 - 2*b + 14. Calculate the remainder when r(y) is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37 + 38 = i. Suppose 3*k - 54 - 36 = 0. What is the highest common divisor of i and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**6\/p*p*p*p**(-1\/5))\/(p*p\/(p\/(p*p\/((p\/p**(-1))\/p*p)))*p)**22 assuming p is positive.\nAnswer: p**(-186\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*q + z = 12*q - 19, -4*q = 4*z + 36 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 627*v - 5159. Calculate the smallest common multiple of g(12) and 20.\nAnswer: 9460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3335 times -5\nAnswer: 16675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that 4*t**5\/5 + 13524*t**4 - 1693004*t**3\/5 - 13524*t**2 + 338600*t = 0.\nAnswer: -16930, -1, 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 971.616 months?\nAnswer: 0.80968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = 3*b - 23, 0 = -3*b + 3*a + 2*a + 8. Suppose -2*q + 4*c = -120, 0 = 5*c + b + 4. Let d = -47 + q. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 114*u = -216*u - 1258 + 11158 for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**2 - 7*x - 1. Let s be u(7). Suppose -4*p - 16 = 4*p. What is the biggest value in s, p, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = 5*j - 8. Suppose -2*c - 14 = -j*c + h, h = -c + 4. What is the second derivative of -77*x**3 + 155*x**c + 12*x - 14*x**5 - 78*x**3 wrt x?\nAnswer: -280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 - -1b?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 252.3007 litres in millilitres?\nAnswer: 252300.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(80) + sqrt(80))*1 - (sqrt(80) + (3 + sqrt(80) + -1 - sqrt(80)))) + (1*(sqrt(320) + 0))**2 + 5.\nAnswer: 4*sqrt(5) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 3, 151\/3, 5, -8.78?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**3 - 14*x**2 + 35*x + 6. Give n(-16).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -15197000 to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 4) + (-3 - -3) + (5 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) -497636  (c) 15  (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 619\/60 + 1\/60. Let i = -65\/6 + f. Which is the nearest to -2\/5?  (a) i  (b) 0.1  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*h - 29 = 31. What is the smallest common multiple of 246 and (h\/1)\/((-51)\/(-170))?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2620 divided by 7?\nAnswer: 2620\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1316684875 divided by -23939725\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 107643979 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 6\/5 of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 219 divided by 3?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/18260 and 17\/5456.\nAnswer: 2264240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -24, -32, -62, -126, -236, -404, -642, -962?\n\"Answer: -2*v**3 + v**2 + 3*v - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**2 - 5*v + 5. What is the lowest common multiple of 4 and t(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*u = 56*u - 364 - 28 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -1185 * -0.303\nAnswer: 359.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes before 5:16 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -3*x - 1. Let m be p(-5). Let r = -15 + m. List the prime factors of r - (1 - 14 - 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20)\/(-300)*(-20)\/(-22)*11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 313 - 5021\/16. Calculate the common denominator of 10\/(-12)*399\/30 and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(5\/(-3)*-12). Let h(q) be the third derivative of 0*q - 4*q**2 + 0 - b*q**3 - 1\/300*q**5 - 1\/30*q**4. Factor h(j).\nAnswer: -(j + 1)*(j + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.008 + -23.008. Let b = -25.2 - n. Let u = b + 2.199948. Round u to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9783975 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -296.96 * -5.\nAnswer: 1484.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 19556 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 3*q = -13, -4 = q - 5*q. Suppose h*j + 16877 = 11*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/(-5) - (-14 - 89573\/55). Let f = -7 + 60. Calculate the greatest common divisor of z and f.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 + 6 - 5)*(-4*r**2 + 2*r**2 + r**2).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v + 6. Let l be p(-3). Solve 15 = 2*c - l*g, 0*c = -4*c + 3*g + 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q and 2 t when four letters picked without replacement from {t: 5, q: 15}?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**2 + 7*u + 17. Let g be f(-10). Let w = -107 - g. Which is smaller: 179\/4 or w?\nAnswer: 179\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79134?\nAnswer: 2, 3, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand v**3 + 0*v**3 + v**3 + (-v**2 + 4*v**2 - 4*v**2)*(2*v - v - 2*v) + v**2 - v**2 + 2*v**3 + 16*v**3 + 3*v**3 - 2*v**3.\nAnswer: 22*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**2 + 4*g - 4. Suppose 2*z - 7*z = -15. Let f be u(z). Let x(c) = -c - 3. Let r(o) = 2. Let i(a) = -2*r(a) - x(a). Give i(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**3 - 3*j**2 - 5*j + 6. Let n be m(4). Let k = -60937\/2 + 30466. Let w = 111 + -997\/9. Which is the closest to 1?  (a) k  (b) w  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 51*y - 33. Determine l(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 31*b - 50 with respect to b.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 166 + -170. Let v(f) = -f**3 + 4*f**2 + 2*f - 6. Let k be v(4). List the prime factors of (30*(-1 - g))\/k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**2 + 71*k. Let j(x) = -2587*x**2. Give z(j(b)).\nAnswer: -6692569*b**4 - 183677*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 3 p when four letters picked without replacement from ymuuumpuumppuu.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-495)\/(-10))\/(-33)*(55 - 17).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6400 (base 16) to base 15.\nAnswer: -78ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((3152\/22)\/4)\/(-2). Let j = -1305\/44 - n. Find the common denominator of 14\/21 - 322\/24 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/(-9) + 2\/3. Let g = m - -14. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the first derivative of 2*n**3\/3 + n + 3. Let q = -4 - -3. Calculate h(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1*4)\/((-40)\/(-30)). Suppose -w + 1 = u + 2*u, 4*u + 3 = h*w. Let i be (u + 1)*(1 + -4). Is i at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -91\/8 and -53\/448.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*s - 4*s - 2*s + (-2*s + 0*s + 0*s)*(6 + 0 - 4) + (3 - 13 + 8)*(1 - 1 - s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3292621?\nAnswer: 1109, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l*l**(4\/5)*l*l**(1\/13)*(l**(2\/5))**17 assuming l is positive.\nAnswer: l**(629\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 782814, 782798, 782782, 782766?\n\"Answer: -16*q + 782830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -65 from -223.537.\nAnswer: -158.537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 8 - 10 - 542*w**4 + 2*w**3 + 2*w + 610*w**4 as f*w**3 + r + b*w**4 + q*w + t*w**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 s when two letters picked without replacement from {o: 1, j: 7, s: 12}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-11))\/(24 - 215\/10).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-27 - 33 + 11*g + 57)*(3*g**2 - 2*g**2 + 0*g**2).\nAnswer: 11*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 495089069?\nAnswer: 229, 1277, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the third derivative of -7*d**6\/120 + d**5\/60 - d**4\/24 - 2*d**2. Give p(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5772, -5695, -5566, -5385, -5152, -4867, -4530?\nAnswer: -4141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -364 + 394. Suppose z*b - 4218 = -8*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 0.6110024 micrograms?\nAnswer: 611.0024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -26, -70.83, -2\/3, 4\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (6650\/(-21))\/(-38)*24\/10\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 61377350329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, r: 10, y: 1, e: 1, c: 2}. What is prob of picking 1 r and 1 c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000014993629 to six dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pt when two letters picked without replacement from {t: 12, p: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 + -2. Let y = 314 - 312. Put y, n, 5, 1 in increasing order.\nAnswer: n, 1, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4748.31 to the nearest one hundred.\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3.4655746 + -10.\nAnswer: -6.5344254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -416680 divided by 41668?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**2 - 2*q + 6. Suppose 34*x - 32*x - 124 = 0. Let r = x + -60. Let h be f(r). Which is smaller: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -23\/3983?\nAnswer: -23\/3983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = l - 4*h - 55, -2*h + 25 = 5*l. Suppose -3*f - 2*z - 42 = -l*f, -5*f + 2*z = -52. Suppose -f = 5*t, -24 = -3*u + 3*t + 144. Does 19 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 30\/(968\/462 - (-2)\/(-21))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 15561 and 252.\nAnswer: 62244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -1. Suppose -5*h = -5*m, -19*h - 3*m = -21*h + 1. Let o(j) = -4*j + 3. Let u(z) = -3*z + 3. Let k(l) = -5*o(l) + 6*u(l). What is h*x(b) - k(b)?\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2148 - 2147. Let t = -57\/4 + 173\/12. Which is the closest to t?  (a) -1  (b) 2\/17  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -2*d. Let n(g) = 2*g + 416. What is n(r(h))?\nAnswer: -4*h + 416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the first derivative of 18*c**3 - c**2 - c - 2. Let q be v(-1). Let y = 114 + -92. Calculate the greatest common divisor of q and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -567 = -b + 801. List the prime factors of b.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -47*d. Let g(r) = 4*r**2 - 9*r + 18. Let k(u) = -u**2 + 2*u - 4. Let a(y) = -2*g(y) - 9*k(y). Give a(h(m)).\nAnswer: 2209*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 3 + 1)*(-1 - 2 + 4)*(-3 + 1 + 1 + (5 - 1 - 2)*(0 + 2 + 1))*(3*g + g - 6*g).\nAnswer: -30*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 7, 0.3, -2\/11, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.036 - 489475633386.\nAnswer: -489475633385.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -46 or 25?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 355249402 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9237*c - 2*c**2 + 9237*c - 2*c**2 - 3*c**2.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002924443 to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:22 PM and 5:46 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 86897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 997*m**3 - 150*m**3 + 1.\nAnswer: -1147*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15\/(-12))\/((-505)\/303).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q - 82 = 3*n, -2*n + q + 522 - 496 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/70)\/(12\/(-14)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -5*w + 167250. Let i(t) = -t + 7. Give p(i(c)).\nAnswer: 5*c + 167215","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(90)\/sqrt(2) - sqrt(15)\/(sqrt(12)\/sqrt(4)) - (-5*sqrt(20) + 0)**2.\nAnswer: -500 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 48293489 to the power of 1\/3, to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 2*j**2 + 22*j - 220. Determine z(-31).\nAnswer: 1020","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 258910 and 329035.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 9773243, 9773242, 9773241, 9773240, 9773239?\n\"Answer: -y + 9773244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Do -278 and -263 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 437, 3265, 10879, 25673, 50041, 86377, 137075, 204529?\nAnswer: 291133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 divided by 4?\nAnswer: 53\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a**3 + 13*a**2 - 1 - 4*a - 5*a**2 - 5*a**2 - 7*a**2 - 2*a**2. Give n(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 24*m + 5. Let q be s(-5). Suppose -3*b = -4*h - 458, 0*h + 230 = -2*h + 2*b. Let k = h - q. Solve -4*g - 3*w = 16, -k*w + 23 = -5*g + 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11 + -11. Suppose 2*o - 4*m = 22, l = -3*o + m + 38. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 3*z**2 - z + 3. Let n be (-1*3)\/(5\/(-5)). Let m be b(n). Suppose -3*l - m + 81 = 0. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1870 + -1255. Let q = m + -615.00714. What is q rounded to four dps?\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 157\/66 and 119\/40356.\nAnswer: 443916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b - 4 + 5 - 6*b)*(2*b**2 - 2*b**2 - 2*b**2).\nAnswer: 10*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-3)\/15)\/(-2 - -1). What is the nearest to -0.1 in 2\/7, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -50*p - 44. Let u be r(-2). Suppose -u = 35*o - 49*o. Suppose -8 = 4*n, 0 = i - n - 0 - 2. Solve i = o*w + w - 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {r: 4, j: 6, b: 2, z: 6}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**2 - 8*r - 2. Let m(l) = -4*l + 79. Let k be m(19). Let v(w) = -3*w + 2. Let t be v(k). Calculate s(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 153*k + 153*k + 159*k - 620*k + 152*k. Let g(s) = 19*s**2 - 11*s. Give z(g(r)).\nAnswer: -57*r**2 + 33*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 42 and 1722?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -20263 - -18909. Is -1354 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14187472 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1772 - -1770. What is the nearest to h in -1\/14, 3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 8*q**2 - 44*q - 264. Let t be o(24). Solve 3308 = 5*r + t for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13 - -15. Suppose -f*y + g - 7 = 0, -3*y + 4*g - 16 = -7*y. Let h be (-2)\/(y\/1) - -1. Calculate the greatest common divisor of h and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2548014 and 80724?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*j**3 - j**3 - j**3 + (4*j**3 + 2*j**3 - 3*j**3)*(-4 + 4 - 1) - j**2 + j**2 - j**3 to n*j**3 + a*j + y + m*j**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 66726 divided by -3707.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 54 - 72?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -i + 2*i - 2*j, 5*i = -4*j + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate f*s*t**3 + 65*f*t**3 - 7*f*t - 4*f + 2*s*t**3 - 35727*s*t - 2*t**2 with respect to f.\nAnswer: s*t**3 + 65*t**3 - 7*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 160497895 a multiple of 679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y*y**(-3\/4)*y*y*y\/(y*(y*y**(-5)*y)\/y)*y*(y**(-2\/11))**(-6)*((y*y*y**0)\/y*y)\/(y**(1\/5)*y)*(y*y**0)**(1\/33) assuming y is positive.\nAnswer: y**(6053\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -4*t - 6. Let u = 2 + 3. Let s = -31 + 30. Put s, t, u, -2 in ascending order.\nAnswer: -2, s, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = 6*r - 28 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 28656374407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 6*h**2 - 6*h**2 - h**2. Let y(c) be the third derivative of -c**5\/120 + c**3\/3 - 3*c**2. Let i(n) be the first derivative of y(n). Calculate s(i(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1476 (base 8) to base 13.\nAnswer: -4bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 3, k: 2}. Give prob of picking 2 z.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -38, -485, -1342, -2609, -4286?\n\"Answer: -205*f**2 + 168*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.09 to 3 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12939 and 855.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the first derivative of 3*g**4\/4 - 39*g**3 - 2052*g**2 - 27216*g - 3430. Solve h(y) = 0 for y.\nAnswer: -12, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b\/b**22))\/b**(1\/3)*(b*(b\/(b*b**6))\/b)**(-38) assuming b is positive.\nAnswer: b**(749\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2078.807 and 0.1.\nAnswer: -207.8807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**3 - n. Let l(j) = -2*j**3 + 6*j**2 + j - 6. Let q(h) = -l(h) - m(h). What is q(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 11*u + 2. Suppose -3*n = -2*n - 5, u = -2*m + 4*n - 10. Suppose 5*q = 4*g - 2357, 0 = -m*g + q + 736 + 2226. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 121*f = 50017 - 4763. Calculate the greatest common factor of 51 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 232 + -219. Let z(b) = -q*b + 5*b + 10*b. Let j(d) = 14*d**2 - 2. Calculate z(j(p)).\nAnswer: 28*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -19415\/2478 + 2\/1239. Find the common denominator of a and (14\/(-10))\/(12\/(-15)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -7*n**3 - 3*n**2 - n - 2. Suppose -11 = -52*w + 63*w. Let p be s(w). Solve -p*k + 3*r + 9 = 0, k - 13 = -2*k + r for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + sqrt(1900))**2*4*1 - (-6*sqrt(1900)*3 + 0))*-4.\nAnswer: -30544 - 1680*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (0\/6)\/4 - (-1 - 3) and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - s**3)*(5 + 6*s**2 - 5) - s**5 + 2*s**5 - 4*s**5.\nAnswer: -9*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 201*c = 160*c + 738. Solve -8 = -c*d + 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*j**3 + 8*j**3 + 2*j**3.\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = 1 + 1. Let w(h) = -4 - h + 3*h**2 + 5*h + c*h**2. Let v be -6*(33\/9 - (2 - -1)). Let j(i) = -9*i**2 - 7*i + 7. Determine v*j(n) - 7*w(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, t: 1, i: 2, v: 1, k: 2}. What is prob of sequence ivt?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-3) + (2996\/18 - 1). Let q = 171 - r. What is the common denominator of q and 43\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -16680, -16852, -17138, -17538, -18052, -18680?\n\"Answer: -57*p**2 - p - 16622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 105, 1, -0.4, 2 in descending order.\nAnswer: 105, 2, 1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 3*v**2 - 72*v + 20. Give b(23).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1223728, 1223730, 1223734, 1223740?\nAnswer: 1223748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*t = -19*t. Suppose -7*x + 2*x + 40 = t. Solve x = 2*p + 2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pp when two letters picked without replacement from qpxxxxqxyxqyxpx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -c**3 - 6*c**3 + 14*c**3 + c to the form m + w*c**3 + u*c + r*c**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (sqrt(99) - (-3*sqrt(99)*-6 - sqrt(99))) - (2*sqrt(110)*6 - sqrt(110))\/(sqrt(10) + (sqrt(10) - 4*sqrt(10)*-2)))*-3.\nAnswer: 12 + 1473*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 152 = 5*m. Solve -3*g + 3*r + m = 6, 5*g = -5*r + 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -76.9859 to 0 decimal places.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 37554 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5456*z**2 - 2499*z**2 + 666*z**3 + 3530*z**3 - 406*z**3 - 2046*z**2 wrt z?\nAnswer: 22740","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 113 divide 167950045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 23 + -16. Let r = w - 12. Let u = 5.2 + r. Which is the closest to u?  (a) -4  (b) 5  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 19, 36, -18, 3 in increasing order.\nAnswer: -18, 3, 19, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -228*q + 6*q**2 - 253*q + 353*q + 128*q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kfjbr. Give prob of picking 1 k and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -6*p**3 + 142 + 76*p**2 + 86*p - 84*p - 181*p + 66 - 53*p = 0.\nAnswer: 2, 26\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*o - 133 = 51*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -28350 by -171.\nAnswer: 3150\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 98*o**4\/3 + 8792*o**3\/3 + 195932*o**2\/3 - 18840*o + 1350.\nAnswer: 2*(o + 45)**2*(7*o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 3*t**2 + 3*t**2 + 8*t**2. Let i(r) = -r. Calculate i(w(n)).\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 224 a factor of 86440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1055 and -46.\nAnswer: -4.853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 4*o - 26. Let v(s) = -6*s + 5. Let t(i) = -13*i + 11. What is o*t(j) - 9*v(j)?\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkkkkkkkk. What is prob of sequence kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9 - 6. Suppose 5*z - 434 = -5*u - 159, -2*z = -q*u - 85. Is z - (1 - (-3 + 2)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0.55, 3\/4, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11660, -22716, -33616, -44282, -54636, -64600, -74096?\nAnswer: -83046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/(-10) - 25\/1125. Let h be (-6)\/9*2\/(-4). Which is the nearest to q?  (a) 0  (b) h  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6859, 13712, 20549, 27364, 34151, 40904, 47617?\nAnswer: 54284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 20723 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-1*sqrt(1300) + -1 + sqrt(13) + 3 + 1)*-3.\nAnswer: -135*sqrt(13) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12636 + 12635. Is x greater than or equal to 778\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3202320 + -21121001?\nAnswer: -11312021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:54 PM and 8:15 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*i**2 - 2*i**3 + 0*i**2 + (-11 + 9 - i**2 + 1)*(-3*i + i - i).\nAnswer: i**3 + 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-5 + sqrt(243)*2)**2*-1*6.\nAnswer: -3240*sqrt(3) + 17946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7601261?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*m = 1062 + 1850. Let h = m - -230. Calculate the remainder when 29 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 3*u**2 - 21*u + 21*u + 2*u**2 + 1. Let g be p(-1). Let r(q) = q**3 - 6*q**2 + q - 4. List the prime factors of r(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*r + 5*r - 3042. Let x = 248 - r. Solve -50 = 9*p - x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/(-3)*(0 - 0). Suppose a = 5*o + 9 + 11. Let x = o + 9. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -71b3 (base 16) in base 11?\nAnswer: -1a961","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-72)\/(-60)*(-6)\/(-4)*2200\/330\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-132)\/56)\/(-11)*3440\/(-43860)?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 4 - 2)*(-3*h + 3*h + 2*h**2)*(3*h + 7 - 7).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 6487.341 weeks?\nAnswer: 3923543836800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1546827421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 103 = -4*b, 2*b = -34*p + 32*p + 54. Factor -78\/5*u**2 - 10 + 18\/5*u**3 + b*u.\nAnswer: 2*(u - 1)*(3*u - 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.1 - 0.1. Let g be 86\/(-42) + 2 - (-16)\/(-56). Which is the second biggest value?  (a) g  (b) -1\/6  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2032 in -5, -2\/5, 209?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**2. Let w(v) = -v**3 + 8*v**2 + 11*v - 66. Let g be w(8). Let m(b) = 12*b + g*b - 31*b + 17*b - 3. Determine m(q(k)).\nAnswer: -20*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 51, -3, 24346, -2.\nAnswer: -3, -2, 51, 24346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3\/5*q**5 - 216\/5*q + 81\/5*q**4 - 81\/5*q**2 + 0 + 213\/5*q**3 = 0.\nAnswer: -24, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -83005576 at least -83005580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.905205l to millilitres.\nAnswer: 9905.205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10\/883 + -923\/3532. Sort -0.12, 4, -8\/7, x in descending order.\nAnswer: 4, -0.12, x, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 19068\/9*(-6)\/(-7). Suppose -19*y = -4188 - k. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 6, 77, 148, 219, 290?\n\"Answer: 71*s - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14615690*s**2 - 7066811*s wrt s?\nAnswer: -29231380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*c**4 - 2*c**2 - 64 - 6*c**4 + 63 + c**4 wrt c?\nAnswer: -192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1408*x**4 - 9380*x**2 - 2*x**3 - 21*x**5 + 1117*x**4 + 18*x**5 wrt x.\nAnswer: -180*x**2 - 6984*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -136400 to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -422140 + -2?\nAnswer: -422142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -234725633402 - -0.2?\nAnswer: -234725633401.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*u + 7 = -41. Let k = 6.12 + -0.22. Let i = -6 + k. Which is greater: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -360 divided by -60.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -21772.667 to the nearest one hundred.\nAnswer: -21800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 2*b**3 + 43*b**2 - 21*b + 38. Does 5 divide n(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2664 (base 7) to base 9\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 0 - 1)*(-h + h + h) - 3*h - 2*h + 3*h + 608*h + 2 + 25 + 2144*h - 27 as f*h + v and give f.\nAnswer: 2749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -6\/38497 and -9\/1231082.\nAnswer: 345934042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9?  (a) 2\/63  (b) 3  (c) -0.3  (d) -1\/6  (e) 9.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, h: 3, a: 2, b: 4, q: 6}. What is prob of picking 1 h and 1 q?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v - 3. Let h be m(-5). Suppose 3*c - 18 = 3*d, -2 = -d + h*d + c. Which is bigger: -5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51*w = 4*x + 60*w - 47, -5*w + 15 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 3853731 - 1631883 = 4*d, -3*n = 5*d - 2777311. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (80\/25 + -2)\/(-1).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*((sqrt(240) - (3*sqrt(240) + sqrt(240)) - sqrt(240)) + sqrt(240)))\/sqrt(5) + (sqrt(96)*-3*-6)\/sqrt(2).\nAnswer: 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -6*f + 1. Let i(w) = -5*w + 1. Let r(m) = -4*g(m) + 5*i(m). Let k be 2 + -1 + 0\/1. Let c(y) = 8 - 2 - 2 - 3*y. Determine k*c(d) - 5*r(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n + 61 + 14. Suppose n + 37 = -4*b. Let z(d) = -d - 8. Let y be z(b). Solve 0*f + 15 = -f - 4*a, -f + 30 = -y*a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 0, -0.2, -4\/5, 26\/5, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f = -5*t - 169, 8*f - 10251 + 9789 = 2*t for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 29739031 to the nearest integer?\nAnswer: 5453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-44)\/154 + 60\/14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**2 + 5*m - 22. Let a be o(-8). What is the third derivative of -k**2 + 6*k**6 + 2*k**a - 5*k**6 + 8*k**6 wrt k?\nAnswer: 1080*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from phhqhdpdpqhpdq. What is prob of picking 1 h and 1 q?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 + 18 = -n. Let f(u) = 20*u**3 - 2*u**2 + u. Let c be f(n). Solve 3*a - 4 + c = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -0*f + 3. Let d be -4 - (f - 12*-1). Let b = d + 33. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**3 - 83*p**2 - 244*p + 1357. Calculate c(-80).\nAnswer: 1677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) -514  (c) -10.3  (d) 5  (e) 32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m - 1. Let d(w) = -5*w. Let o(z) = d(z) + 3*f(z). Is o(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 84 and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 28, 78, 144, 214, 276, 318, 328?\n\"Answer: -2*w**3 + 20*w**2 + 4*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21\/24*4\/14.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 110*v = 102*v + 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**3 - 7*l**2 + 8*l - 7. Let x be t(6). Suppose x*n + 2 - 17 = 0. Solve 6*b = n*b + 15, 4*v + 10 = -2*b for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 31715\/(-25) + 2 + 6\/(-15). Let t = -491 - d. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000010773088144 to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4375 - -4374.6. Which is the closest to -1\/3?  (a) -5  (b) 0.4  (c) 0  (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30\/48*-4 - (-2)\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 8 - -4814715?\nAnswer: 4814724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 12520 in -1\/2, -6, -0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**1)**11*(g**(1\/6))**(2\/21) assuming g is positive.\nAnswer: g**(1387\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**9)**(-44) assuming r is positive.\nAnswer: r**(-396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-2\/7))**(2\/49)\/(d**(2\/11)*d*d*(d*d*d*d**(-4\/5))\/d))\/(d**(2\/15)*d\/d**(2\/5)*d*(d*(d**(-2\/15)*d)\/d*d)\/d*d*(d\/d**6)\/d) assuming d is positive.\nAnswer: d**(-18742\/18865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -4\/101  (b) -2  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 88468597257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 18*f**3 + 14*f**2 - 7*f - 6. Calculate the remainder when p(1) is divided by 1 - (0 - 9 - 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = c - 11. Suppose c*s - 2*d = -s + 8, 3*s + 5*d + 9 = 0. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 56*y + 114. Let o be k(-2). Let t be (12\/(-16))\/((-2)\/8). Suppose 4739 = 5*p - 5*n + 979, -o*p + 1489 = t*n. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -109\/388442?\nAnswer: -109\/388442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:41 AM and 10:16 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the third derivative of 1\/120*i**6 + 0*i - 3\/20*i**5 - 1\/24*i**4 + 19*i**2 + 17\/6*i**3 + 0. Calculate the lowest common multiple of 10 and l(9).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 14) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**3 - 5*h**2 + 11*h + 6. Let k(d) = d**3 + 11*d**2 - 14*d - 20. Let x be k(-12). Calculate the remainder when r(x) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from owwcttcwxw. Give prob of sequence txwo.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 9*(-1 - (-10)\/6). Let l be (-15)\/b*1*-2. Let p(r) be the first derivative of -r**3\/3 + 7*r**2\/2 - 6*r + 2. Give p(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 4 and 2975889.\nAnswer: 2975893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is (-12)\/(-1) + 5\/((-20)\/16) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 24867289 to the nearest integer?\nAnswer: 4987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2874839 equal to 2874838?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the second derivative of 6*i + 0*i**3 - 1\/15*i**5 - 1\/12*i**4 + 0 - i**2 - 1\/60*i**6. Let z(y) be the first derivative of m(y). Solve z(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -366 - -3105. Calculate the highest common factor of t and 1245.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*c - 4*c**2 - 3*c**2 + 2*c**2 + (c - 2*c + 0*c)*(1 + 2*c - 1) + 199*c + 28*c**2 - 199*c.\nAnswer: 21*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -99cc - -16?\nAnswer: -99b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d + 2. Let o be v(2). Suppose -4*u + 13 = 1. Let p = u - -13. Calculate the greatest common divisor of p and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 168473 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -6*j + 44. Suppose 14 = -3*a + 2*a. What is the hundreds digit of k(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 45948 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4dfb5 (base 16) to base 12.\nAnswer: 134a19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -220*o = -109*o - 129*o + 632 - 2648 for o.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h = 6*b + 4, -7025*h = -b - 7021*h + 32 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -46 divided by 2\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u**4\/4 - 29*u**3\/2 + 61*u**2\/4 + 59*u\/2 = 0 for u.\nAnswer: -59, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1116.28 - -21.28. Let h = v + 1029. Let x be 1\/(0 + (-3)\/2). Is x less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 2 v when three letters picked without replacement from bnvbmvnmbbbnmvvvssvv?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-50)\/125 - 26\/10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/31483304 and -5\/6628064?\nAnswer: 125933216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -61138\/15 + 4076. What is the nearest to 0 in -32, 0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -3, 6, -5 in decreasing order.\nAnswer: 6, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8*(-34)\/40800*4)\/((-7)\/(-3)).\nAnswer: -2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t**3 - 5*t**2 + 4. Let s(v) = -v**3 - 5*v**2 + 4. Let m(l) = 6*i(l) - 5*s(l). Let k be m(-5). Solve 2 = k*n - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 596237231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 2087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*h**3 - 185*h**2 - 1855*h - 5635.\nAnswer: -5*(h + 7)**2*(h + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -29561086.2 to the nearest one hundred thousand.\nAnswer: -29600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jbb when three letters picked without replacement from {b: 2, j: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 10998514 or 10998612?\nAnswer: 10998612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 10718, 21070, 31422?\n\"Answer: 10352*l + 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x + 3*a - 12, 5*x = 2*x - 5*a + 19. Solve -2*z - 7 = x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8.23 + -1.53. Let x = 3.705 + -9.905. Let q = x + d. What is the closest to 3\/16 in -1, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8230)\/1646*2\/2*1*-1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 3*c - 23 = 4*c, -3*g - 5*c + 23 = 0. Calculate the remainder when 23 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4684.7539 rounded to the nearest 100?\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - 1) + -92 + 93?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 - 13 - 34) + 80 - -54?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/7 + (-890)\/(-210) + -4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 204138 and 102069?\nAnswer: 204138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 51688602 a multiple of 2478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the first derivative of -1\/9*s**4 + 2\/27*s**3 + 0*s**2 + 2\/45*s**5 + 0*s - 5. What is m in f(m) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) 3\/1967  (b) -1\/8  (c) 5  (d) 4\/5  (e) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1864, -4.78, 0.4.\nAnswer: -1864, -4.78, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 129.8227*307.\nAnswer: 39855.5689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -1 + 10*j + 32 - 61 - 11. Determine m(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5698312?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.4 + 0.6. Let p = 5 - i. Which is the nearest to -1?  (a) 0.4  (b) p  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + m = 5*m + 41, 0 = m + 2. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2919008432.\nAnswer: 2, 182438027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -373458*l + 373458*l - 1 - l**2 - 3.\nAnswer: -l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 2)*(g**3 - 3*g**3 + g**3) + (-1 - 2 + 2)*(0*g**2 + 0*g**2 + g**3) + 6121*g**3 - 12316*g**3 + 7048*g**3.\nAnswer: 854*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**4 - 644*w**3 - 64306*w**2 - 2047048*w.\nAnswer: -2*w*(w + 79)**2*(w + 164)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 9*b - 2730 = 0. Is -208 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, 1529, -2, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 63\/225*(-2990)\/(-2093).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o**2 - 1 + 1)*(678 - 1353 - 14163*o + 675).\nAnswer: 28326*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 795 is divided by 278 + (-13 - 40\/5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*o + 30 - 1155 = 0. Let p be 1*-3 + o\/30. Let c = 2.7 + -5.7. Sort -3\/5, c, p, 5 in descending order.\nAnswer: 5, p, -3\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -96811, 10 in decreasing order.\nAnswer: 10, 3, -96811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 54631\/21, 0, 0.3?\nAnswer: 54631\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 + 146?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (0 + -4 + 3 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 5, l: 3, c: 7, m: 3, s: 2}. What is prob of picking 4 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2487, 4940, 7359, 9744, 12095?\nAnswer: 14412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 - 3*s**2 - s + 1. Suppose 5*g - 3*g = 28. Let i = -10 + g. Suppose 0 = -5*n + i*m - 15, -3*n - 2 = m + 7. What is o(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.81 + 0.8. Let m = 1.99 - d. What is the third biggest value in 1, 0.3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8 in 0.5, 10, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:49 AM and 10:02 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*u - 2*m + 6*m = -1110, 2*u - m = -5*m + 60 for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that 2*s**5\/9 - 2*s**4\/3 - 62*s**3\/9 + 22*s**2\/9 + 52*s\/3 - 112\/9 = 0.\nAnswer: -4, -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**3 - 4*l**2 - 4*l + 6. Give h(-5).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 14116044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the third derivative of h**4\/24 - 8*h**2 + 10*h. Let m(z) = 101*z**2 - 2. What is s(m(b))?\nAnswer: 101*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u - 37. Let t(w) = 2. Let x(b) = d(b) - 6*t(b). Let i(r) = -r**2. Give x(i(g)).\nAnswer: -g**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -2*h + 1. Let s(j) = -4*j + 1. Let y(i) = 5*n(i) - 3*s(i). Let g be y(-3). Let a be 319 - 316 - (0 - -1 - 2). Put 5, a, g in decreasing order.\nAnswer: 5, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**3 + 4*l**2 + 5. Let i be w(-4). Let u = 185 - 155. Suppose 36*v - 18 = u*v. Solve 3*k + 16 = i*s, -v*k + 4 = -2*s - 7*k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 261796658 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(468)*-1 + 3 + sqrt(468) - (sqrt(468) + 1*sqrt(468) + -1) - (0 + sqrt(468) + (0 + sqrt(468))*-1))*6)**2.\nAnswer: -339840 + 17280*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -2631990, -5263977, -7895962, -10527945, -13159926?\n\"Answer: z**2 - 2631990*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Let y be -3*(0 - (1 - 0)). Suppose 4*s - 9 = y. Find the second derivative of -8*n**3 + s*n**2 + 7*n - 3*n**2 wrt n.\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*b = 3*c - 11*b - 12, c = -5*b + 12. Solve 4*g + 20 = 4*o, 0 = -g - 3*g - c*o - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 s when two letters picked without replacement from kssssspkrssgkkkskpcc?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 455\/(-39)*(-30)\/7175?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 14390953*i**4 - 448283*i**2 + 2*i wrt i.\nAnswer: 345382872*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the first derivative of 11*f**4\/4 - 2*f**2 + 4*f - 4. Let t(c) = 12*c**3 - 5*c + 5. Let s = -7212 - -7217. Determine s*g(d) - 4*t(d).\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x - 5*q - 27 = 0, -4*q - 25 = 2*x - x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 5*x + 9 = 5*f, 3*x - 3 = -3*f for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1413079305?\nAnswer: 3, 5, 11, 19, 643, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -195471 times 184?\nAnswer: -35966664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-648)\/(828\/(-23)) - 28?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27443743 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2186310?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:48 PM and 10:34 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kgwjgw. Give prob of picking 1 j and 2 w.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = 5*g + 7 - 3, 3 = 3*q + 3*g. Let f be 5 - (3 + (-1)\/1). Find the first derivative of 4*o**q + 1 - 5*o**3 + 2*o**f wrt o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = 2*j - 3*l, 131*j - 33 = 136*j + 4*l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -22 + 32. Let t = h + 10. Suppose r + 0*r - 5*a = -t, a + 5 = 2*r. Solve 4*q = r*q + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -177 (base 11) to base 9\nAnswer: -247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -84*k + 75*k = 47734 + 39386. Which is smaller: k or -9679?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the third derivative of -19*l**7\/70 + l**5\/15 - 1597*l**3\/3 + 1956*l**2. Differentiate j(k) with respect to k.\nAnswer: -228*k**3 + 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -4 + 7 + -3 - 2. Does a = -33\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-four fifths of a microgram in nanograms?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 153768962?\nAnswer: 2, 29, 2651189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37336661 is divided by 259?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1639\/33 + 13)\/((-4)\/(-366)). What is the highest common factor of 94 and p?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the first derivative of -k**2\/2 + 8*k - 6. Let w be f(-12). Is ((-621)\/(-115))\/(6\/w) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 438500248*i**3 + 16*i**2 - 6392026 wrt i.\nAnswer: 2631001488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/522 and 103\/10?\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4121 (base 5) to base 9.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 113\/30 - 23\/5. Is 1 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 230\/(-483)*-77 - 38?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 757939490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 612 + 1439. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -35*s**3 + 5*s**2 + 10*s + 7. Let i(r) = -52*r**3 + 7*r**2 + 14*r + 10. Calculate 5*i(m) - 7*v(m).\nAnswer: -15*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -380*n + 321 with respect to n.\nAnswer: -380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -156 + 89. Let x = -64 - p. Solve -l - 2*d + 10 = x*l, 4*d - 20 = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*n**5 + 85*n**4 - 15*n**3 - 95*n**2 + 45*n + 10 = 0. Calculate n.\nAnswer: -1, -1\/6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -3*k**2 + 3*k + 3. Let g(h) = h + 1. Let j(b) = -3*g(b) + l(b). Let u(y) = -4*y. Give u(j(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -421*i - 1889. What is the remainder when b(-5) is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 410 - 2211101311?\nAnswer: -2211100401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*i*o**2*p**2 - 2230*i*o**2 + 1675*i*o*p**4 wrt p.\nAnswer: 4*i*o**2*p + 6700*i*o*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -4*m**2 + 42*m - 51. Let c be d(9). Solve -j + c*x - 9 = 0, -2*x = -5*j - 7*x + 35 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes before 5:00 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-40)\/(-3) + 0\/((19 - 20) + -13). Let 4\/3 + 4\/3*n**5 + o*n**2 + 20\/3*n**4 + 20\/3*n + 40\/3*n**3 = 0. What is n?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -101670*o**2 - 134734?\nAnswer: -203340*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(208) - (0 + 1*sqrt(208)))**2 + ((-1 + sqrt(1300))**2 - (1 + sqrt(13)*2)).\nAnswer: -22*sqrt(13) + 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jrrr when four letters picked without replacement from {k: 3, r: 3, j: 6, d: 1, e: 1}?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 158168414135928+0.1\nAnswer: 158168414135928.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(6\/4))\/((-390)\/(-90)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**2 - 3*q + 2. Let f be p(-4). Let s be f\/(2*(-2)\/8). Let j(i) be the third derivative of -i**5\/60 - 2*i**2 - 11*i - 36. What is j(s)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.3  (b) 3  (c) -106094  (d) 11  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 104, 148, 194, 242, 292, 344?\nAnswer: 398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 - 0. Let b be (t\/1)\/(-1) - -5. Suppose 0 = -b*k + 31 + 4. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (21\/(-9) + -3)\/(6\/(-81)). Solve q = 3*s + 66 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*t**2 + 11*t**3 + 1 + 1 - 8*t**2 to r + y*t + g*t**3 + u*t**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*t + 2*b + 0*b + 28 = 0, 3*t + t = 5*b - 100 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -79363122 or -79363120?\nAnswer: -79363122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 33*r**2. What is x(1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**2 - 10*q + 3. Let c(k) = 9*k**3 - k**2 + k - 1. Let d be c(1). Suppose -2*m - 6 = d. What is the tens digit of g(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.03966934 to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 16*d**4 + 80436*d**3 + 5339048*d**2 + 10356480*d = 0.\nAnswer: -4960, -261\/4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pptf. What is prob of sequence pt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 118*z + 425. Let m be g(12). Calculate the greatest common divisor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 466*d - 470*d + 20 = 0. Solve 0 = -3*y + 11 - d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is e + 309?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*t + 8*t. Suppose 3*y = -4*j + j - 27, 3*j + y + 23 = t. Calculate the remainder when 19 is divided by (10\/(-4))\/(j\/14).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 4*w + 8. Let u(j) = -3*j**3 + 10*j**2 + 3*j - 13. Let v(q) = -q**3 + 5*q**2 + q - 6. Let l(f) = w*v(f) + 2*u(f). Let h = 15 - 19. What is l(h)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 861, 863, 867, 873, 881?\nAnswer: 891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -3, -37, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + -7 + -1 + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -454.0048 - -454. What is b rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -279675.334 to the nearest one thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 2*t - 2*t = 0. Suppose 2*b + 4*c - 9*c = 175, t = 3*b + 4*c - 320. What is the remainder when b is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 169\/1867152 and -49\/384.\nAnswer: 14937216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 528049 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 1783.1756 to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4302 is divided by 123?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 2\/17, -4, 0.12, -0.1?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:43 PM and 4:50 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1863774 and 12.\nAnswer: 3727548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001397223 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -34379\/9 - -3820. Let v(q) be the third derivative of -1\/90*q**5 + z*q**4 + 5*q**2 + 5\/9*q**3 + 0*q + 0. Factor v(k).\nAnswer: -2*(k - 5)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 84 + 39 - 102 + 85 + 4*i to a*i + f and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 39, -7\/5, -0.5, -1, 5, 0.5 in increasing order.\nAnswer: -7\/5, -1, -0.5, 0.5, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*(o\/(o*o**(2\/45)\/o*o)*o)\/o*o**(-22)*(o*o*o*(o\/(o*o*o**(-2\/85)))\/o*o*o)\/o*o\/o**(6\/5))**(-1\/37) assuming o is positive.\nAnswer: o**(14704\/28305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 985909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 71935 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8220*k**3 + 86648*k**3 + 78931*k**3 - 27234*k**3.\nAnswer: 130125*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.05 and 315491757.\nAnswer: 315491757.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 15\/3383 - -6661\/23681. Factor q*s**2 - 6\/7*s - 8\/7.\nAnswer: 2*(s - 4)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4.8 + 4.23. What is the fourth smallest value in 5, 0.4, k, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -52 + 59 - (1 - (3 - (-54)\/(-3)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.2 and 22668.5039.\nAnswer: 22668.7039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -2374?\nAnswer: 5\/2374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 733528.\nAnswer: 2, 91691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from ejkkkeekhjjjk.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 5 = 0, 0 = 5*w + 68*b - 63*b - 295. Calculate the remainder when 296 is divided by w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 3*p, 3*n = -6*p + 3*p - 6. Let l = -1 + n. Differentiate -2 + 1 + l + x**3 with respect to x.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -c (base 16) in base 10?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*n - 444*h + 441*h - 110, 2*n - 3*n + 48 + 218 = -57*h for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*v - 29*v - 521 + 389 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -l - 5*y, -5*l + 0*y + 50 = 5*y. What is the remainder when 347 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 471567 or -25?\nAnswer: 471567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*y = -36*y + 464. Which is the nearest to 1?  (a) 0.5  (b) 0.3  (c) y  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 2167*i**2. Let a(j) = -128*j**2. Give z(a(t)).\nAnswer: 35504128*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1127980714 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*w**3 + 16352*w**2 + 65472*w.\nAnswer: -4*w*(w - 4092)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**2 - 8515416*z + 34061680.\nAnswer: -(z - 4)*(z + 8515420)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -257, -402, -563, -746, -957?\n\"Answer: -c**3 - 2*c**2 - 132*c - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2109.9 - -1958. What is t rounded to the nearest integer?\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2 - 4)*2\/4. Let i = z + 3. Let p be 2*3*25\/30. Solve s = -3*g + 4*g, -i*g = -p*s - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 550362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 2*p + 2*p = 154, -3*h + 231 = -p. Suppose -4*c = -16, 3*c - c - h = -3*j. Calculate the greatest common factor of j and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(24) + sqrt(216)*-5)\/(-1*sqrt(432) + sqrt(432) - sqrt(432)) + 4 + (sqrt(242) + (sqrt(242) + -1)*5)**2.\nAnswer: -1973*sqrt(2)\/3 + 8741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 - 11777701?\nAnswer: -11777675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.004168 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**3 - 3*b**2 + b - 2. Suppose -k = -2*q - 7, 5*k - 3*q + 4 = -6*q. Let m be k - (-1 + (-4)\/(-2)). Let t = 3 + m. Determine w(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 6*r**3 + 6*r**2 + r - 1. Suppose 3*i - 18 = 6*i. Let j(c) = c**2. Let w(f) = i*j(f) + b(f). Let g be w(1). Solve -3*s + 0 + g = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is z in -1569*z**2 - 591507*z + 2262 = 0?\nAnswer: -377, 2\/523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**3 + 13*y**2 - 4*y - 6. Suppose 2*s + 4 + 18 = 0. Let u be b(s). Calculate the greatest common factor of u and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that -2*j**2 + 40*j - 150 = 0.\nAnswer: 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(84)*-1)\/(-1*sqrt(12)*1) + (sqrt(252) - (sqrt(252) - ((sqrt(252) + -2)*-1)**2)) + -1*sqrt(252)*3.\nAnswer: -46*sqrt(7) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -20*g - 180. Let l(r) = -4*r - 35. Let a(z) = -2*d(z) + 11*l(z). What is a(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h + 24614 + 6666 + 44448. What is the thousands digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**2 - 2*k + 2. Let c be n(-4). Let h = 8 + c. Find the first derivative of 3 + 5*v**h - 4 - 3*v**2 wrt v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -121180144\/19 or -6377902?\nAnswer: -6377902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the second derivative of 3*s**4\/4 + 3*s**3\/2 + 3*s**2 - 3*s. Let y be 2\/(-2 + 0\/3). Let m(i) = i**2. Let a(k) = y*j(k) + 6*m(k). Factor a(x).\nAnswer: -3*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 2 + 4)*(-3 + 3 + m) - 2*m + m - m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -r + 4. Suppose -4 = r*s - 3*s. Let i(w) = -w**3 - 7*w**2 + 48*w + 60. Let t be i(5). Solve -s*o - 1 + 21 = t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 + 8. Suppose i*c + 3*d = 151, -c + d + 36 = -0*c. Is c 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 1362449830?\nAnswer: 2, 5, 7, 59, 329891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:44 PM and 3:17 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61*a = -55*a + 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(36)\/((sqrt(72)*2)\/sqrt(6)))**2 - (sqrt(60)\/(sqrt(8)\/sqrt(2)))\/(sqrt(5) + sqrt(720) + sqrt(720)*1).\nAnswer: -sqrt(3)\/25 + 23\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 23 = 4*d, -5*d + 20 = 2*y - 5*y. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 351 or 93?\nAnswer: 351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 3, o: 7, v: 2, p: 5}. Give prob of sequence oopv.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the third derivative of -d**6\/120 - d**5\/20 + d**4\/8 - 2*d**3\/3 - 2*d**2. Let h be i(-4). Solve 5*r + 35 - 10 = h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 42 and 812.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1454 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -31, -132, -299, -532, -831, -1196?\n\"Answer: -33*h**2 - 2*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + 36 = k. Suppose 0*v - k = -2*v. Suppose -2*f + f - v = -4*j, 0 = -j + 2*f + 1. Calculate the highest common divisor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 8204*v**2 + 7965 wrt v.\nAnswer: 16408*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001221 rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 246377 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**3 - 9*z**2 - 8*z + 4. Let v be m(-8). Suppose 3*y + r = v, 2*y + 2*r + 0*r - 8 = 0. Which is the closest to y?  (a) -0.5  (b) 4  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 96628 is divided by 18986.\nAnswer: 1698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 42 and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 918692?\nAnswer: 2, 241, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1637*i + 1662*i = -25. Is 4\/9667 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(14) + (sqrt(14) - (sqrt(1134) - sqrt(1134)*-4)))\/(2*sqrt(2)*1) + 3)**2.\nAnswer: -129*sqrt(7) + 12979\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 80 a factor of 25984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9, 25, 57, 111, 193?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1051605 + 1?\nAnswer: -1051604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/(185\/4)*(-4)\/(4\/2)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1349 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12169.\nAnswer: 43, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -19*f - 2. Let h(z) = -475422*z - 2. What is l(h(p))?\nAnswer: 9033018*p + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1762743 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = w + 15, -3*t + 115443370 = w. Suppose -j - 116800005 = 4*z, -4*z + t - 155281150 = 5*j. What is z rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/3*w**3 + 1\/6*w**2 - 1\/6*w**4 - 1\/3*w + 0.\nAnswer: -w*(w - 2)*(w - 1)*(w + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the second derivative of j**4\/4 + 22*j**3\/3 - 6*j**2 - j - 2300. Determine h(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 145\/45 + (-8)\/36?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 y when two letters picked without replacement from {t: 1, i: 6, y: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**3 + 39*f + 36.\nAnswer: -3*(f - 4)*(f + 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in twenty-seven quarters of a milligram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (-8283)\/(-5) + ((-70)\/25)\/(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 26.11628 micrometers?\nAnswer: 0.02611628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.259194 and -15721444?\nAnswer: 15721443.740806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.8 + 5.7. Let i = -3.01 + 0.01. Let d = x + i. Which is smaller: d or 1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -33, -36, -39, -42?\n\"Answer: -3*k - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 10 = -0*i. Let b = -7 - -9. Does 9 divide (i + 21 - 0) + b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1573096285 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*v = 22*v + 64. Calculate the remainder when v is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the third derivative of 184*s**7\/105 + 491*s**4\/12 - 901*s**2. Find the second derivative of n(v) wrt v.\nAnswer: 4416*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + 2 + 2 + (-3)\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*((-126)\/315 - 24\/(-10)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kktk when four letters picked without replacement from {k: 5, t: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -34132 + 4?\nAnswer: -34123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8618 (base 12) to base 11.\nAnswer: 10061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 44290 and 172?\nAnswer: 88580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g + 548 = 42*a, 2*g = 2*a + 4*a - 11*a + 63 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -100915 + 26540682\/263. Calculate the common denominator of b and 82\/(-10)*(245\/45 - 6).\nAnswer: 2367","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1011101000011100010 - 101?\nAnswer: -1011101000011100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -574*w - 252182 + 252182 to m*w + a and give m.\nAnswer: -574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*z + 13*z**2 - 11*z**2 + 6*z + 44.\nAnswer: 2*z**2 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -o**3*r**2 - 3*o**3*r - o**3 - o**2*r + 3278908*o*r**4 - 38759 wrt r?\nAnswer: -2*o**3 + 39346896*o*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 19*q - 15*q. Suppose -13 = 4*s + 15. Let z be 2\/s - 0\/q. Which is the nearest to -0.1?  (a) 4  (b) 0.2  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-36)\/(-5))\/3*5\/(-2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 102840503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*i**3 + 19*i**2 + 5*i**3 - 20 + i**3 - 3*i**3.\nAnswer: i**3 + 19*i**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*n = -109*n + 45*n + 533807. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 0*v + v = 6, -3*v = -3*t. Let q(a) be the first derivative of -a**3\/3 + a**2 - 3*a - 13231. What is q(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 33.3 - 33.6. Let k = -0.13 - -5.13. Let p = 1 - k. Which is the closest to -3\/2?  (a) p  (b) 0  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -17867 + 17894. Suppose 0 = 3*j - 30 - 33. What is the smallest common multiple of j and o?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 10239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 26*s - 928. What is v(36)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 5.943511m?\nAnswer: 5943511000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -221*x**2 + 40515*x - 40563*x - 21*x**2 wrt x?\nAnswer: -484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2700910 divided by 2?\nAnswer: 1350455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**2 - 18*r - 111. Let b be x(23). Solve -4*s - b*k = -16, -4*k = 3*s + 12 - 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 468\/221 + 2\/(-17). Suppose 0 = -v + s*v + 10. Is ((-5)\/(v\/1594))\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the third derivative of -m**4\/12 + 31*m**3\/6 - 33*m**2 + 2*m. Let o(v) = v. What is o(w(p))?\nAnswer: -2*p + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44527?\nAnswer: 7, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 2*f = -0*q - 92, 3*q - 266 = 4*f. Calculate the greatest common divisor of 36 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2003928?\nAnswer: 2, 3, 83497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -2*q - 3. Calculate the remainder when 110 is divided by y(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 5 = -3. Suppose -5*g - b*p + 128 = 0, -17 = -3*p - 5. Calculate the greatest common divisor of g and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3.719 * -0.5\nAnswer: 1.8595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -1297*u + 35. Let r(d) = -1296*d + 28. Calculate -4*i(c) + 5*r(c).\nAnswer: -1292*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * 1.7\nAnswer: -0.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 5004940097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a - 3*a + 3*a)*(-7*a - a + 3*a)*(2 - 3 + 0) - 5*a**2 + 10*a**2 - a**2 + (2 - 3 + 0)*((-2*a + 4 - 4)*(-6*a + 44*a - 12*a) + 1 - 3*a**2 - 1).\nAnswer: 69*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d + 2*o - 4 = o, o - 8 = 5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes after 11:02 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 291.99999357 + -292. What is o rounded to 7 dps?\nAnswer: -0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/30*(-2)\/(16\/10).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -65*h*i**2 + h*i - 140053*h - 60*i wrt i?\nAnswer: -130*h*i + h - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = -2*h + 66, -4*h + 3*h - a + 5 = 0. Solve 2*w - 12 = -2*m, 21*m - w = h*m + 30 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**3 + 3*b**2 - 3*b - 3. Let i(o) = o**3 + 4*o**2 - 6*o - 2. Let h(n) = -n**2 + 6*n + 2. Let x be h(7). Let k be i(x). Determine m(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 27.6 + -28. Let m = 0.2 - 0.1. What is the nearest to 0.1 in m, -5, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -5*h + 83. Is 7 a factor of l(-31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -5, -7.\nAnswer: -7, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 0*p + 3*a = -35, -2*p + 30 = -4*a. Suppose 1 + p = h. Let c(l) = -l**2 - 16*l + 36. Let x be c(-18). Solve r + r + h = x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 856?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -2074725, -2074718, -2074711, -2074704?\n\"Answer: 7*i - 2074732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 14, -5, 5, 4\/5, 0.25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 112 and 8?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 147 is divided by 54?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 58189 or -158?\nAnswer: 58189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55681955*d - d**2 + 21*d**2 - 23*d**2 + 55681955*d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -3 from -9075308068.\nAnswer: -9075308065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 43994\/25565 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * -606.4531.\nAnswer: -1819.3593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2\/21 + 4\/7. Which is the smallest value?  (a) 11  (b) v  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 12\/7  (b) -3  (c) 3  (d) 4  (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 2, e: 1, a: 1, t: 2, z: 1}. Give prob of picking 1 i, 1 a, and 1 z.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y**4 - 4*y + 7*y**4 - 4*y**4)*(3 - 3 - 2*y).\nAnswer: -4*y**5 + 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16)\/(-56))\/(8\/(-42))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -2*z**2. Let q(p) = 2*p**2 - p. Let i(v) = 36*v**2 - 16*v. Let f(t) = 5*i(t) - 80*q(t). Give f(b(j)).\nAnswer: 80*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 728 and 448?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(560)\/(sqrt(30)\/sqrt(3)))\/sqrt(8) + (-2 + sqrt(7) + 1)*6.\nAnswer: -6 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*g**3*o**3 + 30*g**3*o**2 + g**2*o + 6*g*o**2 + 18*o**3 wrt g?\nAnswer: 12*g*o**3 + 180*g*o**2 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -4*h - 5. Let a(u) = -50001*u**2 + 1. Let j be a(h). Round j to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -41*n**2 - 31*n**2 + 22*n**2 + 85*n**3 - 52*n**2 wrt n?\nAnswer: 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vbbticpv. Give prob of picking 1 t, 1 b, and 1 i.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-60)\/(-16))\/(-1*6\/(-8)). Solve -37 = p*u - 32 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -876*b**5*r**3 + 2*b**3*r**3 + 99*b**2*r**3 + 6*b**2*r wrt b?\nAnswer: -52560*b**2*r**3 + 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, -2, 663, 2\/9, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-46)\/184 - ((-23)\/(-4) - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(27)\/((sqrt(108) + 1*sqrt(108) + sqrt(108))\/sqrt(12)) + 1.\nAnswer: sqrt(3)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -104\/7559 or 1?\nAnswer: -104\/7559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes before 11:26 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 28*p**3 + 6*p**2 + 52*p. Let a(s) = 10*s**3 + 2*s**2 + 17*s. Let n(w) = -19*a(w) + 6*l(w). Find the second derivative of n(m) wrt m.\nAnswer: -132*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-476*a - 5621*a - 5188*a + 2 + 0 + 2765*a)*(a - a - a**3).\nAnswer: 8520*a**4 - 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 8?  (a) -234\/473  (b) 110  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 318 - 314. Solve 4*c - d = 4*n, -3*c = -4*n - 5*c - 22 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkkkdkukk. What is prob of sequence ukk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 2250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 100 (base 3) in base 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 64\/21 and -37\/728.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 361955663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -1, 2, 4 in descending order.\nAnswer: 8, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46123*o + 6*o**2 - 46123*o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**3 + 72*v**2 - 1942*v + 1014. What is k(-93)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 1004 = 3*o, 9*o = -y + 4*o + 184. What are the prime factors of y?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1\/37611 - -75227\/188055. Suppose 0*h + 0 - 16\/5*h**3 + 0*h**2 + x*h**4 = 0. Calculate h.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 105*j + 140 = 70*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - 0) + -1 + (-5 - (-6 - -4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**2 + 13*p + 13. Let x be w(13). Solve 4 - x = 3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6322327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1500*j - 1480*j = 532540. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42124.\nAnswer: 2, 10531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 475 and 4951077.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -17 + 99*r - 45*r - 52*r + (4 - 4 - 1)*(-2 - r + 2) + 0 + 0 + 2*r + 0*r + 4*r + 5*r.\nAnswer: 14*r - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 18*r**2. Let p(u) = -87*u - 61*u + 157*u. Calculate j(p(q)).\nAnswer: 1458*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6)\/33 + (-35)\/(-11). Suppose 2*h = x*n, 0 = -0*h - h - 4*n. Sort h, -3, -5 in ascending order.\nAnswer: -5, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 83 divide 109785045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the second derivative of 0*i**2 + 0 - 7\/20*i**5 + 66*i - 29\/3*i**3 + 1\/6*i**4. What is the second derivative of q(g) wrt g?\nAnswer: -42*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -763357, -763363, -763373, -763387, -763405, -763427, -763453?\nAnswer: -763483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*c + 8*c + 3 - 5)*(8 + 4 + 3)*(0 - 3 + 2).\nAnswer: -15*c + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*b**3 + 32*b - 10*b**2 - 18*b - b**3 - 2*b**3 - 13*b to the form c*b**3 + x + j*b**2 + l*b and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4\/11, -2, 3\/8, -6?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-1*(5 + 2 + -1 + sqrt(637) + 4) + -1)**2*-2.\nAnswer: 1232*sqrt(13) + 6064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1\/5  (b) -3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3615.\nAnswer: 3, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7763 (base 8) to base 13.\nAnswer: -1b21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 50 + 40 = 0. What is the second derivative of -3*q**2 + q**x + 47*q + 8*q**2 wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2832 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5081 or 5079?\nAnswer: 5081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 5327267089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**3 - 29*h**2 + 247*h - 226. What is p(-36)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3482856793?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 36540, 72417, 108294?\n\"Answer: 35877*n + 663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -75 divided by -90413?\nAnswer: 75\/90413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10 by -13.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*d - 64 = 96. Solve f - 14 = d*n, n + 4*f - 2 = 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-6)\/4)\/((-1)\/(-42)). Let t be 2\/14*s\/54. Are 0 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 54801518 to the nearest 100000.\nAnswer: 54800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 18*s**2. Let d(t) be the first derivative of 10*t**3\/3 - 2002. Give d(l(n)).\nAnswer: 3240*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 115*l**2 + 6*l + 6. Let a(z) = 22999*z**2 + 1199*z + 1199. Determine 6*a(n) - 1199*g(n).\nAnswer: 109*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2731479?\nAnswer: 3, 373, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**2 - s - 7. Let k be 0 + 3 + 3\/(-1). What is l(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5320657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 4\/9 and (51\/(-4))\/(7\/4).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -9?  (a) -385\/3  (b) 4  (c) 81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 69.00976 kilometers in meters?\nAnswer: 69009.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 67482119\/4 or 16870529?\nAnswer: 67482119\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the first derivative of -2*n**5\/35 + 3*n**4\/7 + 74*n**3\/7 + 344*n**2\/7 + 480*n\/7 - 3548. What is d in s(d) = 0?\nAnswer: -4, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 80.1486 + -7.9776. Let p = n - 0.171. Let y = 72.029 - p. What is y rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -14 - -417a271?\nAnswer: 417a258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**3 - 143*r**2 - 735*r - 6197. Give i(-138).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + q + 9 + 3.\nAnswer: q + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 60568 is divided by 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 24.28 and -5.857?\nAnswer: 30.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 0.4  (b) 0.5  (c) -5  (d) -17\/8712\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that 3*s**5 + 363*s**4 + 11142*s**3 + 8640*s**2 - 64800*s = 0.\nAnswer: -60, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k + k**2 - k)*(-849 + 5456 + 12532 - 2359 - 2*k + 9428).\nAnswer: -2*k**3 + 24208*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n + 9. Let r be w(-15). Let y be (-21)\/49 + r\/(-14). Suppose y*c + 39 = 3*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -247, -246, -245, -244, -243, -242?\n\"Answer: n - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 227 and 7855789?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 10) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 88547.37 millilitres?\nAnswer: 88.54737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -4  (b) 0.2  (c) 0.7  (d) -0.13  (e) 373\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 139 = 5*a + 269*i - 262*i, 5*a + 3*i - 71 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -778 + -1528485.\nAnswer: -1529263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9 + (-8)\/(-8))\/(-6).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17385491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1030 + 2310?\nAnswer: 3340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(468)*4)**2.\nAnswer: 119808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 290 and 232?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-2\/5)*a**1)**0 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1192 - 1192. Let x be (-2)\/6*(-12)\/34. Do c and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 42\/140 + 185\/50. Let l(m) be the first derivative of m**2\/2 + 9*m - 12. Let h(x) = -4. What is i*l(k) + 9*h(k)?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in 0.3, -0.183, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000503349 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**2 + 4*l + 2. Let j be c(4). Suppose 4*t + u = -j*u + 5, u = -t. Suppose 4*r = t + 3. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 192.6 - 199.6. Which is the nearest to -0.2?  (a) 1  (b) -1\/4  (c) -4  (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38845610 is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 186088008849 and -28?\nAnswer: 186088008877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -61*l**3 - 4*l**2 + 3*l + 2. Let x be y(1). Let s = x + 166. List the prime factors of s.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*o + 4 = -0*o - 2*t, 756 = 5*o + 5*t + 746 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the first derivative of 0*o + 27 + 0*o**2 - 7\/3*o**3. Let t(y) = 2*y**2. Give l(t(j)).\nAnswer: -28*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2028277033 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32 (base 6) to base 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 182962.83 months?\nAnswer: 15.2469025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (7 + -1 + -4 - 33) + 4\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -2*h**2 + 6*h + 2. Let a be 1*(3 + -1 - 1). Let b(n) = -2 + n + 0*n + a + 2. Determine -4*b(w) + t(w).\nAnswer: -2*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -41832, -83649, -125424, -167139, -208776, -250317, -291744?\nAnswer: -333039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**3 - r**2 - 1. Let n be q(0). Let p = n + 3. Is 42 + p\/(-2 + 0) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4.987 and 58.\nAnswer: -289.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6503, -8694, -10885?\nAnswer: -13076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v**3 + 2*v**2 + 34*v + 7. Let y be f(7). Suppose -4*j + 5*j - 321 = y. What is the remainder when j is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**2 + f + 5. Let r be q(0). Let c = r - 1. Suppose 0 = -3*z + 3*m + m + 8, 0 = c*m + 8. Solve 0 = 2*i - z*i + 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 48 and 30?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -30 < -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let 185*t**3 + 441*t - 100*t**4 - 470*t + 352*t + 60 - 7*t + 730*t**2 + 189*t = 0. What is t?\nAnswer: -1, -3\/20, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {s: 1, l: 6, i: 7}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 4*q + o + 4, -q + 16 = -4*o. Suppose 3*f - 12 = q, -f + 14 = 5*z - 5. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 145266557 times 0.4\nAnswer: 58106622.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from uquuuuuuq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 1035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -32*s - 30. Let m be x(-1). Solve 16 = m*n + 4*y, -2*n + 2*y - 8 = 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 101718712 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1041*i - 4809 - 26122 = 441*i + 1673 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -3*i - 1. Let f(o) = -234. Determine -234*a(m) + f(m).\nAnswer: 702*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 75788132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**2 + 7*p + 5. Let g be t(-7). Suppose -4*u + z = -4*z + 14, g*u + 22 = 4*z. Let y be -6*u\/9 - 0. Sort -5, y, -2.\nAnswer: -5, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:56 PM and 8:27 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:20 PM and 5:19 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s + 2*s = l - 4, 2*s = 8. Suppose 7*b - l*b + 105 = 0. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**3 + 9*q**2 + 15*q + 18. Is 7 a factor of z(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/15 greater than or equal to 576116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/293 in -3\/7, -4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*q - 78 = 25*q. Solve 0 = 3*c - 8*c + r + 28, -r - q = -2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 126 and 10402.\nAnswer: 93618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 231*n - 114*n + 214*n to y + g*n and give g.\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = 3*d. Suppose -4*k - 67 = 93. Let u be k\/(-385) - (-2)\/11. Is d < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 115 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 3.125493ns?\nAnswer: 0.0000000000000051678125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 13480, 13478, 13476, 13474, 13472?\n\"Answer: -2*m + 13482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 10608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the third derivative of -18\/5*t**5 + 0 + 0*t + 21*t**2 - 6*t**4 - 16\/3*t**3 - 9\/10*t**6. Suppose v(b) = 0. What is b?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27 = 2*r - 5*z, 4*z = -47*r + 45*r + 18 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 691.5322742 - 691.5. Let o = -0.052275 + l. Let y = o + 0.02. Round y to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16 + 15.32. Let a = -1.74 - f. Let h = -0.06 - a. Put h, 4, 1\/3 in ascending order.\nAnswer: 1\/3, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44 - 6*c - c + 2*c.\nAnswer: -5*c - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 138, 532, 1192, 2124, 3334, 4828, 6612, 8692?\nAnswer: 11074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 88507 not equal to 88508?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11132158 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 1 e when three letters picked without replacement from eeaeejazeeezaeyzeze.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 7*u = 0. Solve 2 = 5*s + 4*c - 3, u = -4*c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes before 7:31 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -28 - -22. Let c(j) = -4*j**3 - 6*j**2 + 5*j + 9. Let p(s) = 7*s**3 + 12*s**2 - 9*s - 17. Let l(t) = 5*c(t) + 3*p(t). What is l(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1636954 to the nearest integer?\nAnswer: 1279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 + 7. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -7*u + 4. Let r be y(-12). Let t = 238 - r. Suppose t*f - 146*f = 60. What is the remainder when 43 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -378*c**2 + 112*c**2 + 163*c**2 + 110*c**2.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the third derivative of 7*l**4\/3 - l**3\/3 + 2*l**2. Let p be (7\/(-2) + 2)\/((-21)\/14). What is the tens digit of v(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -4*u, 3*r + 5*u + 5 = -9. What is the highest common divisor of 16 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (8\/5)\/(12\/150). Suppose -2*m - 50 = 32. Let u = m - -71. Calculate the highest common divisor of u and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 102036327?\nAnswer: 3, 19, 1790111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22304*c + 248182 = -18025*c for c.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 202430.1ng in tonnes?\nAnswer: 0.0000000002024301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 638 = 4*t, 4*u + 0*u = 3*t + 510. Let k = 214 - u. Suppose -303 = -z + 5*q + k, 4*q = 5*z - 1871. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*t**4*z - 1230*t**3*z**3 - 3*t**2*z + 19653*t*z**3 wrt t?\nAnswer: -96*t*z - 7380*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51*i + 22*i - 3*j - 213 = -24*i, j = -j - 2 for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*k = 157 - 121 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4611 and ((-4)\/(-10))\/((-120)\/(-3600)).\nAnswer: 18444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 2, v: 2, r: 2, y: 1, p: 2, o: 3}. What is prob of sequence pprn?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/9 + (-58)\/(-18). Let c(o) = o**2 + 2*o + 24. Let d be c(0). Let w be (-6)\/4 - (-324)\/d. What is the highest common factor of w and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 196 and 2112502?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o + 2. Suppose 5*x + 4 + 6 = 0. Let m be u(x). Suppose -t - m = -10. What is the remainder when 28 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that 145*x**2 + 10285*x - 710 = 0.\nAnswer: -71, 2\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l = -153605*v + 153602*v + 4, -2*l + 2*v = 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 3\/5 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 - 8. Let k be (-4)\/((-448)\/87) - 2. Let c = k - -15\/16. Is c >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*k + 3*k - 4*k - 6*k + 7*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (5 - 18\/14) - 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in 0.1985, 0, 1\/13, 3, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + (3 - -2) + (6 - (8 + -3)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (15\/20)\/(3*(-1)\/(-60))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64283 - 11271 = -720*b + 9406 for b.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 46 + -43. Sort -0.2, m, -0.07 in descending order.\nAnswer: m, -0.07, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-77 - 1) + (26 - (-145 - -147))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of -42.3 and 3.32342679358.\nAnswer: -38.97657320642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -12?  (a) 2\/9  (b) 56  (c) 0.07  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9920*f*k**2*z**3 - 195*k**2*z**2 + 50*k**2*z - k*z**3 - k*z**2 wrt f?\nAnswer: 9920*k**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the third derivative of i**4\/8 + i**3\/2 + 7*i**2. Give u(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4*d**2*x*y - 3*d**2*x - 2532*d**2*y - 40*d**2 + 3*d + 23*x*y - x - 133 wrt y?\nAnswer: -4*d**2*x - 2532*d**2 + 23*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*t**2 + 44*t**3 - 350*t**3 + 6*t**2 + 2*t**2.\nAnswer: -306*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**3 - x**2 + x - 1. Let n(u) = 3*u**2 - 133*u**3 - 114*u**3 + 12 - 4*u + 249*u**3. What is n(v) + 4*t(v)?\nAnswer: -2*v**3 - v**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 5 + -4 + 7 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -5*h - 6 - 3*h**3 + 4*h**3 - 6*h**2 + 12*h. Let p be o(5). Suppose -99 = b - p*b. Is b a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 + 3. Let n be 760\/(-75) + (6 - -4). What is the closest to n in o, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -21*j**2 - 834*j + 15792.\nAnswer: -3*(j - 14)*(7*j + 376)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from {t: 2, p: 10}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 30 + (23 - (59 - 27)) + (-1 - -26)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 36*c + 1978. Give u(-55).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2157)\/15 - (-11)\/(-55). Let x = -140 - k. Solve -5*a + x*d - 8 = 0, -5*a + 3*d = 4*d + 23 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45450450 is divided by 461?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**2 - 6*g - 4. Let d be w(-4). Suppose -n = d*n - 15. Let v be n\/2 + 2\/(-4). Solve -2*s - v + 5 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 717ce (base 15) to base 9.\nAnswer: 607145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1278)\/(-10) - -6 - 12\/(-10). What is the greatest common factor of 285 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -11683*l + 2652046. Determine p(227).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the second derivative of 5*w**7\/84 - w**6\/12 - w**5\/8 + 5*w**4\/24 + 5*w + 2. Factor r(j).\nAnswer: 5*j**2*(j - 1)**2*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o + 0*o + 5 + 4*o. Let q(d) = 2*d + 3. Let u(n) = 2*n + 3. Let g(l) = 5*q(l) - 6*u(l). What is -5*g(f) - 3*j(f)?\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -4*m**5 + 220*m**4 + 1772*m**3 - 2204*m**2 - 1768*m + 1984 = 0.\nAnswer: -8, -1, 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h. Let a(m) = -1395*m**2 - 11972. Determine a(r(p)).\nAnswer: -1395*p**2 - 11972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c + 5 - 9. Let h = 10 - c. Solve -3*z = -h, -2*z + 5*z - 11 = 5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 128*y - 2 + 14*y**3 - 251*y + 1 + 127*y in the form k*y**3 + m + b*y**2 + j*y and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1034707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -69 - -68.999999982. What is n rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 95 + -58. Let s = 38 - c. Which is greater: 7 or s?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(234)*1 - sqrt(234))*5 + sqrt(234) - sqrt(234))\/((sqrt(20) + sqrt(40)\/sqrt(2)*1)\/sqrt(10)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*t = -1286 + 93 - 1256 for t.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43*q**2 + 2 - 9221*q + 9221*q.\nAnswer: -43*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -4237 <= -4064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-25)\/(-10)*-40*16\/1000.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 35417 and 17762?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 381\/7 + -426\/7. What is the common denominator of j and 117\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -135*b**3 + 141*b**2 + 18*b - 24.\nAnswer: -3*(b - 1)*(5*b + 2)*(9*b - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 154198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(18)\/(sqrt(18)\/sqrt(2)) - (sqrt(6)\/sqrt(3) + -3))**2 + -1 + -2)*-1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q = 3*d + 3, d + 0*q = -q - 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*j*t**2 - 59*j*t*x + 107*j*t - 17*j + t**2*x + 21*x wrt x.\nAnswer: -59*j*t + t**2 + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (70 - 61) + 3 + (-19 - 3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = -0*y + 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*q - 2*q. Let n be (-3)\/15 + q\/5. Suppose n = 2*r + r - 6. Solve 3*y + r*y - 15 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 504 and 216.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.077 + 0.089. Let p = c - 0.166. Let m = -5\/6 + 1. What is the third biggest value in -6\/5, -2\/5, m, p?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -93 - (-75 - (-44 + -19)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5296*z + 3309*z - 3354*z + 3954*z.\nAnswer: 9205*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vezvzeve. What is prob of picking 1 z, 2 v, and 1 e?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**2 - 10*q + 9. Let j be a(7). Let i be j\/(-2)*507106\/6. Suppose -872894 - i = -2*w. What is w rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41.1 times -0.5?\nAnswer: -20.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 2*r**2 + 2*r + 2. Let c be g(-1). Suppose 0 = -c*l + 6*l - 88. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*f - 865914 + 288636 + 3*f + 288637 + 5*f + 288641.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vb when two letters picked without replacement from dhdvhbdhhvdcvbvd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 10\/3*6\/5. What is the second derivative of -4*t + t - 3*t + 4*t**z + t wrt t?\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 3*z + z. Let c(k) = -3*k + 3*k + z*k**2 - 60*k**2. Let v(h) = -2*h. Calculate c(v(q)).\nAnswer: -212*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 142753766?\nAnswer: 2, 71376883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(117) - (-1*2*sqrt(117) + sqrt(117)))\/((sqrt(90)*1)\/sqrt(10)) - (1 + 6*(sqrt(13) + sqrt(13) + -1)*-4))**2.\nAnswer: -2500*sqrt(13) + 33125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 304 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(325) + 2 + sqrt(325) + 0 + (-1*sqrt(325)*3)**2 - (-5 + 2*(sqrt(325)*1)**2*-4).\nAnswer: 10*sqrt(13) + 5532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 10*x - 3. Let i(t) = -19*t + 5. Let w(b) = 3*i(b) + 5*k(b). Let a(m) = -3*m. Let r(j) = 6*j. Let z(n) = -9*a(n) - 4*r(n). What is w(z(v))?\nAnswer: -21*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes after 2:14 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**3 - 3*l**2 + 11*l - 17. Let w be t(-6). Put 0, w, 3 in decreasing order.\nAnswer: w, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 8*a - 4. Let n(r) = 7*r - 3. Let d(v) = -3*j(v) + 4*n(v). Let t(l) = -4*l. Calculate 4*d(x) + 5*t(x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 10 = -5*y, -b + 3*y + 3 = 37. Suppose 9*c - 9 = -0. Put -1, c, b in ascending order.\nAnswer: b, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9098 is divided by 1146.\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**2 + 4*r + 1. Let v be a(3). Let s(l) = 4*l - 3*l + l - l + v - l**2. What is s(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-53)\/(-477))\/(4\/(-2))*525\/35.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 96 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -5*h - 5. Let s be c(-2). Sort 2, 1, s, 4 in increasing order.\nAnswer: 1, 2, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -167\/2 + 85. What is the smallest value in -0.23, 5\/4, z, 1?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/5, -1\/74, 2, 0.2.\nAnswer: -2\/5, -1\/74, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/21)\/(524\/(-1834)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-51)\/34)\/(1\/(-4)). Let s(u) = 3*u**2. Let i(x) = -55*x**2 + 6*x + 6. Let z(w) = -9*w**2 + w + 1. Let p(d) = i(d) - 6*z(d). Give j*s(y) + 21*p(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -5*v + 204. Calculate the smallest common multiple of n(7) and 13.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -4269, -8402, -12237, -15624, -18413?\n\"Answer: 25*y**3 - y**2 - 4305*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 2*v)*(3*v - v - 18*v).\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 PM and 1:02 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -6 + 165 + -141.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, c: 2, o: 1, x: 3}. Give prob of sequence xc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 241 - 321032?\nAnswer: -320351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -102302130302003 + 0?\nAnswer: -102302130302003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c + 3*w - 170 + 75 = 0, 3*w - 26 = c for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 960018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8395*l**5 - 3982*l**2 + l.\nAnswer: 503700*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqqqqqqssqdnqqdq. What is prob of picking 1 q and 1 d?\nAnswer: 11\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -47*f - 1. What are the prime factors of r(-1)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -49 or 52474?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*y + 43*y + 104 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the third derivative of f**6\/120 - 7*f**5\/60 + 7*f**4\/24 - 11*f**3\/6 - 2*f**2 + 314*f. Give h(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 s when two letters picked without replacement from {s: 2, b: 2, t: 2, r: 1, h: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the second derivative of -6333*v**3\/2 + 3*v**2\/2 - 7*v. Suppose 1 = -z - 2. Let i be w(z). What is i rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 24\/((4\/22)\/2) + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the third derivative of -d**5\/60 - 5*d**4\/12 - 11*d**3\/6 + 6*d**2. Let q be a(-8). Solve 2*o - 12 = 3*v + 6, v = q*o - 19 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 106 - 111. Let h be c*(-8)\/(-20)*(-2 + 1). Determine i, given that -4\/3*i**3 - 20\/3*i - 16\/3*i**h - 8\/3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m**2 - 5*m + 5. Let o(k) = 8*k**2 + 7*k - 14. Let b be o(6). Let s = 320 - b. Give t(s).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -182 - -185. Calculate the remainder when 50 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 95 - 61. Let l(k) = -4*k**4 + 4*k**3 - 5*k + 5. Let b(w) = 23*w**4 - 23*w**3 - w**2 + 30*w - 29. Let r(g) = x*l(g) + 6*b(g). Factor r(y).\nAnswer: 2*(y - 1)**3*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(13\/6)\/(((m*m*m*m**(-25)*m*m*m)\/m)\/m))\/(m**(-2)\/m**(-25\/3)) assuming m is positive.\nAnswer: m**(101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((1300\/39)\/(-10))\/(2\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 913992 is divided by 24.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q + 3*q - 2*q)*(-q + 2 - 2) + (2*q - 4 + 4)*(4 + 2*q - 4).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14 - -24. Suppose -39*v + 30 = -f*v. What is the remainder when v is divided by 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 4*p + 37 = 1, -2*h = -p - 9. Solve -4 = -2*o + h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -40 or -3294\/85?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/8 and 34\/35.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - d = -2*w + 167, -164 = -2*w + 2*d. Let f = w + -74. Suppose r + f - 13 = 0. Solve y + 12 = -3*z, 3 = -3*z - r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 3*c - 3*i + 8*i, 4*c - i = 51. Suppose -16*l + 232 = -c*l. Suppose 3*p - 5*p = 2*x - l, 0 = -4*x + p + 106. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 715*r**4 + 15*r**3 + 25488*r**2.\nAnswer: 17160*r + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -12710, -25451, -38192, -50933, -63674?\n\"Answer: -12741*s + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -109*q**3 + q**2 - q**2 + 107*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from {e: 3, r: 3, x: 2, p: 1, f: 1, g: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 39088.3708 to the nearest 10.\nAnswer: 39090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -175*v = -550497 + 530897 for v.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 407*f**3*z**2 - f**3*z + f**3 + 12*f**2 + 3*f*z**2 - 2*z**2 wrt f.\nAnswer: 2442*z**2 - 6*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 3 h when four letters picked without replacement from {h: 4, n: 1, d: 2, y: 1, g: 4, w: 2}?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 120\/(-36)*(-756)\/210?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12 and 2364.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -13337*b + 248*b**2 + 13337*b + (0*b - 2*b + 4*b)*(b + 0*b - 10*b) + 0*b - b**2 + 0*b.\nAnswer: 229*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 7549481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 1\/663429?\nAnswer: 1\/663429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jua when three letters picked without replacement from rjnuaqnar.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 223401691 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61*j + 77*j - 102 - 13 - 17 - 10*j + 132.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 7 - 1281a6?\nAnswer: -12819a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2217099831.\nAnswer: 3, 2503, 295259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -270*h + 179210847 + 37063292 = 57060269. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-51)\/(-6)*15\/(-175) and 55\/3.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*f**5 - 70*f**4 - 7841*f**3 - 13924228*f wrt f.\nAnswer: 60*f**3 - 840*f**2 - 47046*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 231 and 36804009?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**3 - 20*v**2 + 20*v - 14. Calculate q(-21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -208314, -208083, -207852, -207621, -207390?\nAnswer: -207159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the second derivative of 0 - 67*m**2 + 0*m**4 + 0*m**3 + 1\/5*m**5 - 32*m. What is the derivative of c(r) wrt r?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 98576 by 976.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v + 40. What are the prime factors of i(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + 4 + 4 - 24.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 612 - 508. What is the highest common factor of 1352 and u?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -s - 1. Let b = s - -5. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34099001527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8748383 weeks in minutes?\nAnswer: 8818.370064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -115\/93294 and -47\/10863.\nAnswer: 1585998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:57 AM and 8:50 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*g**3 - 4*g**3 + 2 + 2*g**3 - 3*g - 3*g**3 to h + b*g**3 + f*g**2 + v*g and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r + 797. Let v(y) = -57*y**2 - 7. Give h(v(t)).\nAnswer: 57*t**2 + 804","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 3*x = -35. Suppose 2*j = x*j. What is the smallest common multiple of (j - 20\/(-4)) + 0 and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 4676980, 9353966, 14030952, 18707938?\n\"Answer: 4676986*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-8)\/(z\/z**(1\/2)))\/(z\/(z*z**(2\/21)*z)*z\/(z\/(z*z**(-9)\/z)))*(z*z*z**(-2\/9))**40*(z**(-1)*z)**(27\/2) assuming z is positive.\nAnswer: z**(9161\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**2 + i + 1. Let l(c) = -c**3 + 31*c**2 + 101*c + 40. Let q be l(34). Let y(h) = 12*h**2 - 11*h - 11. Calculate q*y(d) + 66*s(d).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 2*u + 78. Let o(l) = -4*l**2 - 4*l - 4. Let x(f) = -9*f**2 - 10*f - 10. Suppose 60*n = 39*n - 42. Let r(p) = n*x(p) + 5*o(p). Determine s(r(k)).\nAnswer: -4*k**2 + 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**2 - 7*f + 2. Let l be ((-2)\/(-4))\/((-7)\/84). Suppose -c = -s + 2*c + 34, 2*s - 66 = 4*c. Calculate the remainder when s is divided by w(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*t - 4*t - 4*t**2 + 11*t**2.\nAnswer: 7*t**2 - 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 1210548375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 322932?\nAnswer: 2, 3, 17, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9, -13, -27, -57, -109, -189, -303, -457?\nAnswer: -657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n - 3*j + 81 = 0, 0 = 57*n - 78*n - 2*j + 821 for n.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 3*n - 16. Let f = 124 + -122. Solve 2*l + f*l = k, n*k + 22 = -2*l for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrrrrarrrarrr. What is prob of picking 1 a and 1 r?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 23 - 15. Suppose 2*r + k = -2*r. Is -0.1 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3072872555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 - -441320bb?\nAnswer: 441320b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 647 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-5)*(r\/(r**(1\/12)*r))\/r*r**(4\/7)*r**0)\/((r\/(r**(-1)\/r)*r)**(-1\/66))**(-6\/13) assuming r is positive.\nAnswer: r**(-66545\/12012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 16 + -15 - ((1 - 2) + -17)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqqplqp?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -966*k + 987*k = 1890. Put -1, k, -5, 15 in decreasing order.\nAnswer: k, 15, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:23 AM and 4:38 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1261.000003647 + -1261. Round i to 7 dps.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -798383 (base 11) to base 3.\nAnswer: -2101112102111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1155.\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 25\/77 + -6991\/1848. What is the common denominator of ((-21)\/(-378))\/(9\/(-132)) and q?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 100 = 5*n, 5*n - 33*v = -32*v + 88. Suppose 15*i - 20768 = -n*i. List the prime factors of i.\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/8)\/((-1)\/(-6))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 5*f**2 + 6*f + 7. Let q be z(-5). Let u(k) = k**2 - 3*k - 2. Let j be u(4). Suppose 0 = 4*v - 2*n + 4*n - 200, 0 = j*v + 2*n - q. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -48 - -52. Suppose 3*n - 4 = -10. Suppose 0 = v + v. What is the third smallest value in v, n, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1436 (base 7) in base 6?\nAnswer: 2342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 22 + -36 - (15 - 30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -t - 7, -2*t = l - 4*t - 12. Suppose -q - 1 = 2. Let c = l - q. Solve -c*d + 8 = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 210, 425, 640, 855, 1070, 1285?\nAnswer: 1500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/13?  (a) -6  (b) 10  (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.0236 - -1.0236. What is the third biggest value in 0.2, 11\/5, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 + 16 = 4*p. Let v be ((-14)\/105)\/(4\/p). Factor v*l**2 + 0 - 1\/5*l.\nAnswer: l*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 136.9 and 3.\nAnswer: 410.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - -8*(-3)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -2*l + 10. Suppose -l*k + 4 = -0*k. What is the remainder when 5 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1100010 + -111011111000011?\nAnswer: -111011101100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -16 - -15. Which is smaller: b or 1\/20?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 473 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12000112020 + -20112011?\nAnswer: 11210000002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8071?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -6023, -6021, -6019, -6017, -6015, -6013?\n\"Answer: 2*y - 6025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 4*p**3 - 4*p - 8. Let z(w) = -8*w**3 + 9*w + 15. Let h(a) = 5*o(a) + 2*z(a). Find the second derivative of h(s) wrt s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5356 - 77*d**2 - 5356.\nAnswer: -77*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = -5*i + 15, 5*z - 10 = -3*i - 1. Suppose l - 2*l + 2 = z. Let o(r) = 3*r**2 - 4*r + 2. Does 4 divide o(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -5*b + 606. Let u(g) = 3*g - 279. Let o(t) = 6*q(t) + 13*u(t). What is o(-9)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*c + 51 = 2*n - 57, 5535*c - 5537*c = 5*n - 211 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -8*m**2 - 4*m - 3. Let b(o) = 2*o**2 + o + 1. Let f(d) = -5*b(d) - s(d). Calculate f(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**3 + 3*a**2 - 5*a + 4. Let p(i) = i**3 + 19*i**2 + 66*i + 290. Let g be p(-16). What is q(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ryry when four letters picked without replacement from rryryryyyrryyrryrryy.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 0*v - 7 + 0 - 2*v. Let g be 3*((-1)\/(-3) - 1). Let j(s) be the first derivative of -s**2\/2 - 3*s + 1. Calculate g*l(f) + 5*j(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 92683807.\nAnswer: 1031, 89897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -343*x - 576182 + 576182.\nAnswer: -343*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 equal to 2345\/606653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 347870 rounded to the nearest 10000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 7*u = -2*u + 237, -3*u = 4*m - 287. Does 31 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5034061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -66.8 * -0.662756.\nAnswer: 44.2721008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1422767652 a multiple of 8474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.106  (b) -0.2  (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -28.6 and 3.\nAnswer: -85.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d**2 - 10022922*d + 10022925 = 0. Calculate d.\nAnswer: -3340975, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the third derivative of -367*l**6\/24 + 7721*l**3\/6 - 6405*l**2. What is the first derivative of m(j) wrt j?\nAnswer: -5505*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -852959, -1705723, -2558487, -3411251, -4264015?\n\"Answer: -852764*i - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*l - 106 + 116 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add -1 and 180619.6072.\nAnswer: 180618.6072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 166*f + 2. Let p(l) = -164*l - 2. Calculate 4*k(w) + 5*p(w).\nAnswer: -156*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -131491*u = -131468*u - 115 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -131\/18 and -77\/44328552?\nAnswer: 132985656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -75*j + 75*j + 236*j**2.\nAnswer: 236*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 10, v: 9}. What is prob of picking 2 v and 2 z?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 35221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 143 + 2754. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -898926 to the nearest ten thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(48) + 1)**2 + (sqrt(3) - sqrt(9)\/(-4*sqrt(3))).\nAnswer: 37*sqrt(3)\/4 + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3.24 - -0.24. What is the second biggest value in 0, i, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 486 - 6?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -94413 + 166810. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 2*b - 40 = -5*m, 0 = b + m - 32. Calculate the lowest common multiple of b and 14.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-18) + 1\/18*-6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(3136) + sqrt(3136)*4*1 + sqrt(3136))\/(sqrt(42)\/(sqrt(6)*1) + -4*sqrt(21)\/sqrt(3)).\nAnswer: -80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 59, -391 in descending order.\nAnswer: 59, -3, -391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 454, 456, 460, 466, 474?\nAnswer: 484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 28 and 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from azzeaazzaa. Give prob of sequence eaa.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**2 - 6*a - 6. Let q be s(8). Let z = 36 - q. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {v: 3, y: 9}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**3 - 684*s**2 + 3363*s - 4014.\nAnswer: 3*(s - 223)*(s - 3)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 686 = 26*m + 842 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-837)\/45)\/(2\/(-10)). Suppose -h = 4*b - 73, -4*b + s = -0*b + 5*h. Suppose -b*g = -15*g - 142. List the prime factors of g.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5916*x - 2956*x = 2957*x + 114, -5*r + 3*x = 104 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 0*j - 6 = 0. Suppose 1 - 9 = 4*w. Is j <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + (-2 - (3 - 2)) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12076*v - 9740*v + 13954*v to n + b*v and give b.\nAnswer: 16290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 23090, 23085, 23080?\n\"Answer: -5*l + 23095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 127 is divided by 40\/14*7\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4919 > 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-68)\/(-8))\/((-1)\/(-2)). Let u = -29 + s. Which is smaller: u or -11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 3*p = 828, -5*j - 1115 - 268 = -2*p. Let y = j - -410. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -79.99167 and -12.\nAnswer: -91.99167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 760123 - 555086 = 0. Let a = -501597 - l. What is a rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2aa61 + 3459?\nAnswer: -27603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 10*a**2. Let j be r(-1). Which is greater: j or 8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, 0, -0.4, -15, -1, 0.01?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {n: 5, h: 3, l: 1, x: 1, j: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12127 = -748*w - 4647 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 39232661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 l when two letters picked without replacement from {l: 2, w: 10}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u - 7. Let h be v(6). Let a(i) = -i**3 - 7*i**2 + 2*i + 8. Let p be a(-7). Let x = p + 11. Sort x, -5, h in increasing order.\nAnswer: -5, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 + -1.4. Let t = -3.6 + w. Which is the third smallest value?  (a) -2  (b) 0.1  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 26 = -5*j, 0*o + o - 2*j + 2 = 0. Let d be (-2)\/o + (-76)\/(-84). Let v = -0.7 + -1.3. Sort v, d, -4 in increasing order.\nAnswer: -4, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 258602464.\nAnswer: 2, 19, 425333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**2 + b + 1. Let x(c) = -c**2 + 7*c - 9. Let l be x(6). Let p be t(l). Suppose -2*z + p*z = -20. Put z, 0, 0.5 in descending order.\nAnswer: 0.5, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -21226218*a*v**3*w - 20*a*v*w - 28*a*w + 4*a + 3*v**3 - 7*v**2*w - 11*v**2 + 3 wrt v.\nAnswer: -127357308*a*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*(n*n\/n**(3\/2)*n)\/n)**27 assuming n is positive.\nAnswer: n**(81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, -213604, 51?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s**3 + 78*s**2 - 561*s + 480 = 0. What is s?\nAnswer: -32, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1687 - 4371 = -13*k - 1631 for k.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1364280137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -13.134 rounded to one dp?\nAnswer: -13.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0.1239+506\nAnswer: 506.1239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, r: 2, d: 3, v: 5, x: 1, p: 1}. What is prob of sequence drp?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Are -361652 and -361654 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -297 divided by -5492.\nAnswer: 297\/5492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d - 3*j - 5 = -8, d + 5*j = -2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1189 = 5*p - 981. Suppose -4*m = -p - 254. What is the remainder when m is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c + 0*c + 5*r + 4 = 0, 3*r - 4 = 5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -23\/7 + 6\/7. What is the common denominator of p and (-42)\/112 + 279\/40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4440024 + 1022?\nAnswer: -4434002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = 2*g - 36, 3*g + 20 = i - 3. Let t(c) = -2*c**3 - 4*c**2 + c + 3. Let d be t(-3). Let a = d - i. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 52478, 39873, 27270, 14669, 2070?\nAnswer: -10527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -96102 + -0.4.\nAnswer: -96102.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 249*w. Let h(u) = 396*u - 5. What is h(p(t))?\nAnswer: 98604*t - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5265088 = -21*m - 7922912. What is m rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**2 + 31. Let y(p) = -4*p**2 + 30*p + 5. Let c(r) = -6*r - 1. Let s(g) = 5*c(g) + y(g). Determine m(s(i)).\nAnswer: 16*i**4 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6 by 125.\nAnswer: -6\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*h**5 - 4*h + 4*h + (3 + 2*h**3 - 3)*(-3*h**2 + 4*h**2 - 2*h**2).\nAnswer: -8*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a\/((a*(a\/(a\/((a*a**(-22))\/a)))\/a)\/a)))**17 assuming a is positive.\nAnswer: a**(-391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 689417 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-26)\/5*(-1020)\/34. What is the highest common divisor of m and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 13*p**3 + 3*p**2 + p - 2. Let x be j(1). Let g = 5742 - 5739. Solve -g*y - x = -0*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1428 divided by -6?\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -130*l + 5573. Is 15 a factor of f(30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = -15*p + 5202. Let z be (-1)\/9 + 2176\/p. Solve -4 = z*t - 5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 605, -203026, 1.\nAnswer: -203026, 1, 605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*x**4 - 3*x**2 + x**4 + 3*x + 2*x**2 + 0*x**4 to the form k + l*x**4 + n*x**2 + i*x**3 + g*x and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 140 + -310313443?\nAnswer: -310313303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 1 + 0)*(-5*z + 5*z - 4*z) + 0 + 3*z + 0 to the form d + f*z and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13090*l + 38714*l + 14857*l - 6607*l)*(-2*l**2 - 3*l**2 + 3*l**2).\nAnswer: -120108*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-2 + sqrt(2) + sqrt(2))*2)**2.\nAnswer: -32*sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, -1\/47, 0.1, -72291?\nAnswer: -72291","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 26 + 2 = -4*j, -a = 3*j - 17. Let m = 24 + a. Let t = 90 + -42. What is the highest common factor of m and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the third derivative of -v**4\/4 + 2*v**3\/3 - 2*v**2. Let q be m(3). What is the remainder when (-490)\/(-18) + q\/63 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1595328 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: Let x(t) = t**2. Let n(r) = 3*r**2 + 172069*r + 1. What is n(x(f))?\nAnswer: 3*f**4 + 172069*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 21872896 and 71532?\nAnswer: 196856064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - ((2 - 2) + -13 + 17).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2811 = -26*z + 1089. Solve -35*d - 60 = z for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**2 - 3*v + 70. Let q be m(-10). Suppose q = 4*d - 37*d + 23298. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v - 2*v**2 - v - v**3)*(2*v - v + 0*v)*(1 + 2 - 2)*(540 + 142 - 8).\nAnswer: -674*v**4 - 1348*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 110 + -112. What is the fourth biggest value in 3\/5, 0.4, 2\/37, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -100 + 102. Let y = 17 - 16. Suppose -4*f - 19 = y, -2*f = 3*a + 7. Sort a, -5, b in ascending order.\nAnswer: -5, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 8) + -3 + (1 - 1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*y = -23*y + 8122. List the prime factors of y.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c*c**(-3\/4)))\/((c**(-6)\/c)\/c*c)*((((c*c**1)\/c*c)\/c)\/c)**(-23) assuming c is positive.\nAnswer: c**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the first derivative of -1 - 1\/3*b**3 - 2*b - 3\/2*b**2. Factor c(m).\nAnswer: -(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 0.058?\nAnswer: -2.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 18 and 144716994.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 247 - 142. Let k = i + -61. Calculate the remainder when k is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6607 or 3217208\/487?\nAnswer: 3217208\/487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 24.2 - 11. Let p = x - 26. What is p rounded to 0 dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n = -0*n + 378. Let k = 70 - n. Let g(z) = 4*z**2 - 22*z - 5. Is 6 a factor of g(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0*(-3)\/(-12) + -1 + 3. Let k be 54\/(-18)*b\/28. Suppose -2*c - 10 = 5*m - c, 0 = -c - 5. Which is bigger: m or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + v**3 - 17*v**4 + 2*v + 5*v**4 - 3*v**4 - 2*v**2 + 3*v**4 + v**3 to p*v**4 + d + s*v**3 + x*v**2 + z*v and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1560*t**2 + 130*t**4 - 965*t**3 - 5*t**5 + 30*t - 317*t - 433*t.\nAnswer: -5*t*(t - 12)**2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 26 and 1094?\nAnswer: 14222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 43 or 3\/655849?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:53 AM and 8:20 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 4*b. Suppose 4*m + 8*m - 84 = 0. Give n(m).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-12)\/14 - (23202\/(-21) + -11).\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the third derivative of -y**6\/120 + y**4\/24 + y**3\/6 + y**2. Let q be 4 + 0 + -3 - 2. Let a(t) = -t**3 + t**2 + 2*t. Calculate q*a(x) + 2*k(x).\nAnswer: -x**3 - x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61309 is divided by 915.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21407449?\nAnswer: 7, 1151, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 4 + 5)*(x - x**2 - x) + (-x - x + 5*x)*(3*x + 0*x - 5*x) - x**2 + x**2 - 2*x**2 + (25 + 13*x - 25)*(2 + 2*x - 2).\nAnswer: 19*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 110 + 212202120?\nAnswer: 212210000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the second derivative of 0*k**6 + 1\/7*k**8 + 0*k**3 + 3\/4*k**4 + 0*k**7 + 0 + 0*k**2 + 16*k + 0*k**5. What is the third derivative of m(n) wrt n?\nAnswer: 960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -25, -1\/8, 0, -225821?\nAnswer: -225821","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t. Let r(n) = 18*n. Calculate -r(h) - 10*u(h).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 5*a = 20, 2 = -2*j - 3*a - 10. Suppose -4*t + 2*u + 36 = j, t - 3*t - 2*u + 24 = 0. What is the greatest common divisor of 50 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k**2 + k**2 + 4*k**2)*((2*k - 6*k + 3*k)*(3*k - 5*k + 0*k) + 0*k**2 + 2*k**2 - 7*k**2).\nAnswer: -12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -15 (base 11) to base 12\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**2 - 18*r + 22. Let l be m(-19). Sort l, -7, 5.\nAnswer: -7, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 42 = -4*b, 0 = 5*x + 4*b + 9 + 40. Let l = x - -9. Let g = l - -20. Calculate the remainder when g is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8686897 or -147677226\/17?\nAnswer: -8686897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 7\/(-49) - 172\/32. Let u = q + 55\/8. Find the common denominator of -79\/140 and u.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2659?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -237220*r**2 + 238559*r**2 + r - r to the form t + k*r + u*r**2 and give u.\nAnswer: 1339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/(-4)*(-20 + 22). Sort 0, z, 6 in increasing order.\nAnswer: 0, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:08 PM and 6:32 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 14 + 4 = -4*u, -j - 4*u + 22 = 0. Suppose 84 = j*m + 4. Let a = 45 - 41. Solve 4*s + 5*q + m = 0, a*s + 0*s + 4*q + 36 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 + 8 - (0 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 44.45 + 136.85. Let m = 91.9 - w. Round m to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**2 - 5*n + 2. Let x be f(-4). Let b(o) = -3 + 5*o - o**3 + 2*o**3 - 2*o**3 - x*o**2. Is 4 a factor of b(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 - (6 + (1 - (-28)\/(-4))). Suppose -w = -0*w - 9. Solve h = -i + 4*i - w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 16330 - 16322. Put s, -4, 5 in decreasing order.\nAnswer: s, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -24*d + 7. Let c(y) = -12*y + 3. Give 5*c(s) - 2*z(s).\nAnswer: -12*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**2 - 17*u - 7. Determine z(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 3, 2, -2.1.\nAnswer: -9, -2.1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2.94?  (a) -1\/4  (b) -4\/5  (c) -10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-7)\/5 - (-4 - (-115)\/25). Let k(m) be the first derivative of m**2 + 4*m + 4302. Calculate k(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (-2 + (-1 - (-1 + 0)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16366 - 8971. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 497?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 210\/294*(-1)\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**3 - 9*r**2 + 3*r - 21. Let g be h(9). What is the first derivative of 2*d + 4*d - 4*d**3 + 15 - g*d wrt d?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1000100101110 (base 2) to base 16.\nAnswer: -112e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*u**2 + 45.\nAnswer: -5*(u - 3)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1320 divided by 6.\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of a*l**2*x**3 - 148*a*l**2*x**2 + 2*a*l*x**3 - 2*a*l*x - 22*a*x**3 - 2*l wrt l?\nAnswer: 2*a*x**3 - 296*a*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*h = -4*m - 14*h + 24, 5*m - 2*h - 39 = 0. Solve 0 = -0*w - m*w + w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.003775625 rounded to 5 dps?\nAnswer: -0.00378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -576 - -575.872. Let p = 1450.128 + -1455. Let q = p + d. What is the third smallest value in -4, 2, -0.15, q?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 5\/(-15) + (-640)\/(-315). Let t = o - 14\/9. What is d in 0 + 3\/7*d + t*d**2 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30\/(-6))\/((-40)\/80).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cub when three letters picked without replacement from ubtcucuut?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 37633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -110167 + 110167 - 95*n to the form p*n + f and give p.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes after 4:09 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 444.\nAnswer: 1\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 74007108 and 123345180.\nAnswer: 370035540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*y - y**3 - 2933 + 2*y**2 + 5869 - 2938 - y**4 as i*y**4 + b*y**2 + u + f*y + q*y**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -543*i - 3232. What is o(-6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1053*h - 1060*h + 7 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -327\/8 + 2273\/56. Suppose 7*r = 3*r + 4. Let y be (-12)\/8*r\/(-9). What is the closest to 2\/7 in y, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the first derivative of -1\/4*p**4 - 5*p - p**3 - 2 + 2*p**2. Give u(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 less than -3?\nAnswer: -666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1370 divided by 5\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/24 + 1297\/6. Let w = k - 13. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 73336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 - ((27 - (21 - -1)) + (3 - 9))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -59837*v. Let t(l) = 5*l. What is i(t(b))?\nAnswer: -299185*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8480*w**2 - 1 + 1 + 8477*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -9*y - 5*y + 16 - 8*y + 0*y wrt y?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3031 (base 4) in base 13?\nAnswer: -12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-48)\/14)\/(15\/(-630)). Is -4 + 0 - t\/(-8) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88\/5720*325*15?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(700)\/sqrt(4).\nAnswer: 4 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1619227*c**6 - 2008984*c**2?\nAnswer: 194307240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 806?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 772 + -23936\/31. Let r = 150 - 166. Let n be (-13)\/(936\/r) - (-4)\/(-18). Is n < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33\/7 less than or equal to 177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**3 - 10*q**2 - 11*q + 10. Let a(l) = -l**2 - l. Let d(c) = -a(c) - y(c). Calculate the remainder when d(-9) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5 or 986?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -6*(1*(sqrt(108) + 1) + 2 + sqrt(108) + 3) + -3)**2.\nAnswer: 6048*sqrt(3) + 17316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2763\/39 + (-102)\/(-663) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gcxc when four letters picked without replacement from kciggkwxgwgwwcx.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + h + 21 = 0. Let j = -5 + h. Is 0 + j + -2 + 7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**3 - 5*c**2 - 4*c. Suppose 0 = -3*a - 9 - 3. Let h be b(a). Let k(f) = f - f - f + h. Let n(s) = s**2. Determine n(k(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.11 - 0. Let u = -0.31 - t. Let o = 0.7 + 4.3. What is the nearest to 1\/4 in u, o, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -h**3 + h**3 - 2 - 7*h**3 as z*h + o + p*h**3 + f*h**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -2124130 rounded to the nearest ten thousand?\nAnswer: -2120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1*(0\/(10\/2))\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12*j**2 - 24*j**6 + 3*j**2 - 23*j**2 wrt j.\nAnswer: -2880*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000013157606 to 7 decimal places.\nAnswer: -0.0000132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15442 + -10199. Suppose 0 = 3*t + 1226 - d. Let y = t + -684. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -4.56, -2\/3, 1.2.\nAnswer: -4.56, -4, -2\/3, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 9362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-2)\/(-4)*4*11.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -9108, 0, -3, 5, -2?\nAnswer: -9108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/18 + 1\/(-3). Suppose 4*h + 3*n + 7 = w, 13 = -3*h + n - 2. Let d be (0 - 24)*3\/h. Calculate the highest common divisor of d and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the second derivative of 0*v**5 - 1\/21*v**7 + 0*v**2 - 71\/6*v**3 - 1\/12*v**4 - 62*v + 0 + 1\/30*v**6. Find the third derivative of m(h) wrt h.\nAnswer: -120*h**2 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - (-27 + 7 - -17 - (-13 + 1)) - -57?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = 4*s + 20. Suppose 0*z = -5*z + s. Which is greater: 8\/3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 165 + -91 + (87 - 103)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -6742, -13568, -20406, -27256, -34118, -40992, -47878?\n\"Answer: -6*a**2 - 6808*a + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 756 and 149100?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 59 - 4*c - 88 + 20.\nAnswer: -4*c - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 133992 - 1476802\/11. Let d = -263 - q. What is the common denominator of d and ((-8037)\/(-94))\/(3 + 0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 13 - 3 = 0. Suppose r*u = u + 84. Calculate the common denominator of 39\/11 and (u\/(-24))\/(3\/18).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, 0.104, -8\/9, -9.\nAnswer: -13, -9, -8\/9, 0.104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3bc + 48db1?\nAnswer: 4927d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the first derivative of 6 - 3\/4*y**4 + y**2 + 0*y - 9\/80*y**5 - 2*y**3. Let g(p) be the second derivative of l(p). Factor g(x).\nAnswer: -3*(3*x + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y**2 - 13*y. Let f(h) = 3*h**2 + 787*h - 367*h - 393*h. Calculate -2*f(q) - 5*i(q).\nAnswer: -q**2 + 11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -8.8 and 733035.\nAnswer: -6450708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 99 a factor of 4784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -31715399 divided by 4?\nAnswer: -31715399\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1548 is divided by 486.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -11260 (base 9) in base 7?\nAnswer: -30612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 8*d**3 + 2*d**2 + 2*d + 3. Calculate w(-2).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 307 - -1151. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 83731827?\nAnswer: 3, 173, 161333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1336801168 rounded to five decimal places?\nAnswer: -0.13368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = 56 - 96. What is the least common multiple of 22 and x?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuvvvvvvllvv. Give prob of picking 3 v.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 + 5\/2)*0. Suppose -3 = -q*o - o. Suppose 1 = 4*n - o. Which is the closest to n?  (a) -3\/5  (b) 0.5  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from njumnmnn. Give prob of sequence umn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 11611637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**2 + 2*q + 541. Is p(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4.6 - 5.6. Is 0.114 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7583 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 187 = -w - 0*w, -312 = 5*m + 2*w. Let z = m - -72. Solve 2*y + 5*v + 29 = z, -28 = -y + 5*v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1262)\/(-7) - (-8)\/(-28). Suppose 5*x + 0*x = -o. Is 30*(x\/15)\/(-3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 97 + -97. Suppose b = 26*o - 22*o - 4140. Suppose n - o = -5*g, g - 224 = 4*n - 17. Is 39 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**3 - 328*g**2 + 3491*g - 1262. Determine f(317).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(140)\/((2*sqrt(63))\/sqrt(9))*-6)\/((sqrt(400) - sqrt(400)*-1) + sqrt(484)*-1 + sqrt(484)).\nAnswer: -3*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -127*i + 176*i + 243*i + 75*i in the form d*i + u and give d.\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11 - -45\/4. Let l be 3*((-10)\/15 - -1). Is l < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -2*t**2 + 68*t - 414. Let m be p(8). Let h(v) be the second derivative of 0*v**3 - 22*v + 0*v**4 - 1\/135*v**6 + 1\/90*v**5 + 0*v**m + 0. Factor h(z).\nAnswer: -2*z**3*(z - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**3 + 6*h**2 + 5*h + 7. Let f(j) = -2*j**3 + 4*j**2 + 7. Let d be f(3). Let s be (-1)\/(0\/1 - d\/55). Give x(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -4*h**2\/9 + 872*h\/9 - 47524\/9 = 0.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 174060684 and 252?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - (-4)\/(-6))\/((-329)\/141)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -6*8*(-4 - (-22)\/6). What is the greatest common factor of 12 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.09, -7, -35, -1\/2, 7 in increasing order.\nAnswer: -35, -7, -1\/2, -0.09, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 12*u**2 + 150*u + 4. Determine c(-14).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:11 PM and 2:50 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.45 - 0.12. Let t = j - -1.92. Round t to one decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1\/5 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 7346, 19097, 39644, 73385, 124718, 198041, 297752?\n\"Answer: 733*i**3 + 6620*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c - 2*c + 0*c)*(c**3 - 8 + 8).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3034284.4900007 + -3034284. Let f = 0.49 - m. Round f to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 6342\/2040 + (12\/(-14))\/(66\/231) and 35\/272?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 4, 14, -4, -1 in increasing order.\nAnswer: -4, -1, 2, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 6877553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 69\/20 and (-3)\/(-25)*(-280)\/16?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/6438 and 74\/843.\nAnswer: 1809078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25204, -25124, -25058, -25012, -24992, -25004, -25054, -25148?\nAnswer: -25292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*o + 96 = -8*o - 7*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 296268377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 44181561, 44181557, 44181553, 44181549, 44181545, 44181541?\nAnswer: 44181537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1 + -47)*((-25)\/(-10))\/(-5). Suppose w*h - 27*h + 292 = 0. Is 17 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10 + 0. Suppose 996 = t*h + 6. What are the prime factors of h?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 22*o - 177. Determine c(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3783522 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 42108612?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k - 2*k + 3*w + 9, 4*w = k - 11. Suppose -1 = -b - k*g - 0*g, 3 = 3*b + 5*g. Solve 5*i + 2*m + b = 16, -3*i - 5*m + 9 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -482 or -480?\nAnswer: -482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 9369 (base 14) in base 7?\nAnswer: 133662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (11\/6)\/(10\/120). Suppose 19*l = a*l - 5*q - 139, -18 = -l - 4*q. Let o(y) = -5*y - 1. What is the remainder when l is divided by o(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 2 + 7. What is the common denominator of 428\/(-56) + 3 + (-8)\/(-2) and (-62)\/12 - 1\/h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 4 + 10 + 7*n - 2 + 13*n**2 - 5*n**2 in the form w*n + a*n**2 + j and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tttttttttt. Give prob of picking 2 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f - 85 + 313. Suppose 67*o - 57 = 66*o. Let p = f - o. Solve 4*r - 8 - 8 = p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + 3 + (11 + -44 - 2) + 6.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (18\/48)\/((-15)\/(-10)). What is the third biggest value in 5, 0.043, q?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5706356641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = 685*i - 681*i + 5*o, 3*i + 5*o - 4 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes before 12:44 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -424*l - 15*l + 721*l + 457*l + 879*l.\nAnswer: 1618*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 2. Let r(p) be the third derivative of p**4\/12 - p**3\/3 - 4*p**2. Let d(j) = 2*m(j) + 2*r(j). Let l(f) = 23*f. What is -34*d(k) + 6*l(k)?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10*s**4 - 10*s**4 + 19*s**4 + (-2*s**3 - s + s)*(0*s + 5*s + 5*s).\nAnswer: -21*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 21, -0.2, 78\/41?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 811 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**32*g\/(g*g*g**35*g)*g)**50 assuming g is positive.\nAnswer: g**(-200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17 - 12. What is the second smallest value in 0, -0.2, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(288)*-2 + 4 - 4*(-1 + sqrt(288))**2.\nAnswer: -1152 + 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 6*m + 219. Let t be l(-33). Solve 0 = -34*n + 13*n - t for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 - 3. Let q = j - -2. Does q = 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-209)\/(-38)*-12*15\/44055?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 0 - 3)*(-23*z - 15*z + 20*z)*(5 + 4 - 1).\nAnswer: -288*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 5*u**2 + 2*u - 1. Let r be (8\/(-6))\/(4\/(-6)). Suppose 4*z - 2 = r. List the prime factors of a(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25609 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**2. Let g(b) be the first derivative of -17*b**2 + 2*b - 66. Give g(i(c)).\nAnswer: -34*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 3*c**2. Let z(y) = -15*y - 4. Let r = -101 + 329. Let l(h) = 3*h + 227 - r - 4*h + 2*h. Let s(d) = -4*l(d) + z(d). What is a(s(p))?\nAnswer: 1083*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5575 is divided by 169.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 567439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 633.81 less than 34?\nAnswer: -599.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1262736 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8*((-63)\/48)\/21.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n = 3*o + 102 - 216, 5*n = -o - 0*o + 62 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9854 + 9854. Sort 11, -98, k in decreasing order.\nAnswer: 11, k, -98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -28*v + 290. Calculate the least common multiple of f(2) and 4.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -4 - 8\/(-4)*3. Solve -4*j + 5*s - 24 = s, x*j = 5*s - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5584 - -9902. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the third derivative of -a**6\/120 + a**5\/10 + a**4\/3 + a**3\/2 + 10*a**2. Is t(7) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -2 + -1 + -17 + 79 + -75.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 201718329 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-30)\/(-40)*(-3 - 3 - 2). Let w(a) = -15*a. Let z(g) = -16*g. Give o*z(p) + 5*w(p).\nAnswer: 21*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*o + 12*o - 28*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -20432330314 - 22?\nAnswer: -20432330341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 2750*v**3 - 17*v + 17. Let o(n) = 917*n**3 - 6*n + 6. Determine 17*o(r) - 6*u(r).\nAnswer: -911*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.49 + 0.19. Let m = -1.2 - y. Which is the second smallest value?  (a) -1\/5  (b) m  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**2 - 12*b + 8. What is q(-13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2403 divided by -9?\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-3)\/((-54)\/(-53)))\/(25 + 630\/(-27)) and 109\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q + 101 - 433. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16449917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2035, -2, 5, -19, 1 in decreasing order.\nAnswer: 5, 1, -2, -19, -2035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 114556 and 208.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2\/1377 - -308\/1377. Which is the second biggest value?  (a) -4  (b) j  (c) 0  (d) 207\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -4*o**3 - 6*o**2 - 13*o - 6. Let j(g) = 4*g + 3*g**2 - 3 - 7*g**3 - 10*g + 5*g**3 - 6*g**2. What is -13*j(h) + 6*v(h)?\nAnswer: 2*h**3 + 3*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u - 4*o + 48 = 0, 72 + 154 = -4*u - 7*u + 3*o for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 558.3356mm?\nAnswer: 55.83356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.1 and 9.95?\nAnswer: 9.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(33)\/(sqrt(3)*-3) + 5.\nAnswer: -sqrt(11)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -80, -2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 11137691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -69 + (6 - (-42 - (45 - 100) - (0 - 7))).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 2*c - 2 + 4*c + 2*c**2 - 4*c. Let p(r) = 2*r**2 + 2*r - 3. Let w(v) = -3*o(v) + 2*p(v). What is the second derivative of w(j) wrt j?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 322210333 (base 4) to base 9.\nAnswer: 405114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express w**2 + 79 - 79 + 7*w in the form y + f*w + u*w**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1840677 is divided by 1417?\nAnswer: 1411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -913850 divided by -5\nAnswer: 182770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -3*g**2 + 192*g. Let y(f) = -111566*f - 1. What is y(t(o))?\nAnswer: 334698*o**2 - 21420672*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes after 9:41 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 848*l**3 + 672*l**3 + 1 - 1464*l**3.\nAnswer: 56*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/3 - 129\/(-9). Suppose -5*b = -2*b - j. Find the second derivative of 4*w**3 - 3*w**3 - 9*w + b*w**3 wrt w.\nAnswer: 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2 + -2.60153.\nAnswer: -2.40153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -4*v, -320*v - 100 = -4*b - 324*v. What is the highest common factor of b and 126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.392 - 0.108. Let c = x - 61.5. What is the biggest value in 0.1, c, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4\/3)\/(-6 - 1344\/(-225)). Let l = y - -118. Let u = l - 31. What are the prime factors of u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/3474 and 74\/27.\nAnswer: 10422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -420925 - -5?\nAnswer: -420920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 55036672?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -32, -1, -13, 245 in increasing order.\nAnswer: -32, -13, -3, -1, 245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 17a795 (base 16) in base 5?\nAnswer: 344101404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/1788050 and 49\/586.\nAnswer: 523898650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/11, 0.11, -6\/11, -1, 0.\nAnswer: -1, -6\/11, -2\/11, 0, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - -11. Let u = 58 - r. Let q be (-45)\/(-12)*(1 + (-5)\/(-3)). Calculate the greatest common factor of q and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/5, -4, 92, -5, 3.\nAnswer: -5, -4, -4\/5, 3, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 95 + -92. Let b = 3 - 2. Which is smaller: b or w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 46362 + 3292\nAnswer: 49654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-89*b**3 + 57*b - 57*b)*(-5 + 10*b - 12*b + 3).\nAnswer: 178*b**4 + 178*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:20 PM and 9:45 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8358445 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.58 in 0.4, 2\/3, -2\/7, 0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yoobyyduoqdyuo. Give prob of sequence oo.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 682791 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5471?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 42 + -7. Is 36 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the second derivative of -h**5\/10 + 2*h**4\/3 + 52*h**3 + 576*h**2 + 41*h. Factor x(f).\nAnswer: -2*(f - 16)*(f + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -982 + 982.5. Which is the nearest to -11.3?  (a) 3  (b) r  (c) -4\/3  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.08594 rounded to three dps?\nAnswer: 0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + v + 17 = -2, 0 = -3*v + 3. Let f(z) be the first derivative of -3*z**2\/2 - 2*z - 3. Calculate f(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 25, 13, -1, -17, -35, -55, -77?\n\"Answer: -i**2 - 9*i + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 742*z - 7101 = -47*z. Let f(s) = 15*s - 6. Let d = -2 - -6. Let j be f(d). What is the greatest common divisor of z and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 440 and 259820.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 62136578051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3, -3, -2, -4, 55 in decreasing order.\nAnswer: 55, 3, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 7729274 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 806.9142 micrograms to nanograms.\nAnswer: 806914.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:18 AM and 7:29 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = z + 39. Let x = 18 - z. Solve 5*n = x, 0 = 4*d + 2*n + 8 + 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 32201230 - -2?\nAnswer: 32201232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 38149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:31 PM and 9:51 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 38663*v**4 + 34693*v wrt v.\nAnswer: 463956*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -3*r - 177. Let m(h) = 2*h + 91. What is -15*m(u) - 8*s(u)?\nAnswer: -6*u + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -42, 5, -3, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 18\/739  (b) -2  (c) -4  (d) 5\/3  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 225 and 574800?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**2 - 10*b + 2. Give t(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**2 - 10*s + 100. Let c be k(5). Find the second derivative of -234*o - c*o + 486*o + 66*o**2 wrt o.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 3*u**2 - 24708*u - 569871 = 0?\nAnswer: -23, 8259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 6661.743 tonnes?\nAnswer: 6661743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1220210002220 (base 3) to base 14.\nAnswer: -1c7616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 3*l + 232 = t, 284 = 4*l - 5*t. Is 76 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 7, a: 3}. Give prob of picking 2 j and 1 a.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 199000016*c*i**2 + 143009*c*i + 2*i**2 + 684*i wrt i.\nAnswer: 398000032*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.6126 and 0.5.\nAnswer: 0.3063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-6)\/4*(-6)\/12)\/3. Which is the biggest value?  (a) -1\/2  (b) t  (c) 0  (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 53.58326ml to litres.\nAnswer: 0.05358326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*p + 4*p + 4*p)*(21 - 3*p - 21) - 168 + 33*p**2 + 168 + (3 - p - 3)*(-2*p + 3 - 3) - 2*p**2 + 3*p**2 - 2*p**2.\nAnswer: 28*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-26)\/(-26) + 0 + -13.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -139  (b) -47  (c) 0.3  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 2, w: 2, z: 4}. What is prob of sequence mmzw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + 1 + (-4 - (0 - -5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-4247334)\/(-65) + (-72)\/45?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + 2*q)*(-6*q**3 + q**3 + 2*q**3) - 6*q**2 - 25809*q**3 + 25809*q**3 - 75*q**4.\nAnswer: -81*q**4 - 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -19*f**2 + 1 - 1. Let g(q) be the third derivative of 0*q**3 - 1\/12*q**4 - 11 - 7*q**2 + 0*q. What is g(m(z))?\nAnswer: 38*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.0321, 16.6, -1\/4?\nAnswer: -0.0321","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h = -2*j + 908, -6*j + 5*h - 1404 = -9*j. What are the prime factors of j?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5226715 take away 3669?\nAnswer: -3668.4773285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38645 is divided by 60.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 75006.717 - 75009.39699702. Let s = 2.68 + q. Round s to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19185751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes before 12:37 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1126000 rounded to the nearest ten thousand?\nAnswer: -1130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 222368.\nAnswer: 2, 6949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 8888b + 1?\nAnswer: 8888c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 40030675 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k - 1328 + 1328. Let x(w) = 567*w + 28. Let j(b) = -283*b - 13. Let h(o) = 13*j(o) + 6*x(o). What is h(l(r))?\nAnswer: 277*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o = -5*d + 408 - 388, -o = -28*d + 112 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -103*v + 207*v = -5*y + 107*v + 4, 4*y + 5*v - 55 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 171 + 23*z**2 - 171 + (-2*z + 0 + 0)*(5*z - 6*z - z) + 2*z**2 + 5 - 5 + (7*z + 12*z - 15 - 16*z)*(-3*z + 3*z + z).\nAnswer: 32*z**2 - 15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**4)\/o*o*o*o**(-8)*o*o*o*o**(-10)*o*o*o**8 assuming o is positive.\nAnswer: o**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 14 - 25. Let k = -7 - a. What is the nearest to -2 in k, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 + 7. Let z be -2*1 + -3 + f. Solve 4*v = 2*m - 8, 0 = -z*m - m - 2*v - 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3424.80219 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 + -7 - 2) + -5 - (-3 + -18) - 83?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = 10, -v - v - 4 = -a. Let q = 2 + a. Factor -2*w + 0*w + q*w**2 + 4*w.\nAnswer: 2*w*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 - -4)\/(94 + 12). What is the biggest value in j, -1\/6, -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rqqrqrrrrrrr.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z**5 + 3312*z**4 - 398288*z**3 = 0. What is z?\nAnswer: 0, 146, 682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 44.69 + -45. Which is the smallest value?  (a) 0  (b) 1  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 34250 + 18981. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in five quarters of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 77, 114.\nAnswer: -2, 77, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q. Let u(g) = g - 7. What is -4*k(c) + u(c)?\nAnswer: -3*c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**1)**38\/(m\/(m\/m**(1\/4)*m)*m**(-4\/7)*m))\/(m**4*m\/m**(2\/7))**(-1\/72) assuming m is positive.\nAnswer: m**(6449\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 64 = -a + 176, 960 = 4*a + 2*c. Calculate the common denominator of ((-101)\/(-2))\/(6 - -2) and (-1443)\/a - 2\/(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2853 and 0.02.\nAnswer: 57.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3 - (2 + 0) - -1. Suppose -k*g - 2 = -2*d - 3*g, -5*d - 5*g = 0. Let o be -1 + -2 + 56\/7. What is the nearest to -1 in 3, d, o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 27*l + 4. Let p be w(-6). Let m be ((-3)\/((-6)\/p))\/(-1). What is the common denominator of -105\/22 and 12\/18 - m\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a**(-3\/2)*a)**(13\/2)*a**(2\/3)*a*a\/(a\/(a*a**(-4\/5))))**3)**(1\/7) assuming a is positive.\nAnswer: a**(-83\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 22484960, 44969921, 67454882, 89939843, 112424804?\nAnswer: 134909765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of (152\/95 + 441540\/(-25))\/(2\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4008 and 105?\nAnswer: 140280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -5*1*(-64 - (-5)\/1). Calculate the common denominator of 5\/99 and ((-34)\/18 + 2)\/(5\/w).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l - 4. Suppose 700 = 4*z - g - l*g, -5*z = 2*g - 852. Suppose -5*n + 228 = -z. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w**2 + 0*w**2 - 2*w**2)*(4 + 2 - 4) - 5*w**2 - w**2 - w**2.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 3, a: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 38, 1\/54, -224 in ascending order.\nAnswer: -224, 1\/54, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.54 + -0.540041. Round r to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.81, 1\/6, -0.06.\nAnswer: -0.81, -0.06, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 25*s - 6. Suppose 24 - 88 = -2*u. Calculate the remainder when l(4) is divided by u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2 + 2)*1 + 13. Suppose 5*d - 17 = z. Suppose -d*q + 2*q + 12 = 0. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.1 - -0.1. Let p = -2.8 - 0.2. Which is the closest to 0?  (a) l  (b) p  (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the first derivative of -c**9\/3024 - c**5\/30 - c**3 - 2. Let h(y) be the third derivative of b(y). What is the second derivative of h(l) wrt l?\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47979213 is divided by 4797921.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttpdtdpdttdttt. What is prob of picking 1 t, 1 p, and 1 d?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -3*s**2 - s. Let f = 3 - -1. Suppose 18 = -y - 4*r, -y + 5*y + f = r. Give q(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 7225*k. Let x be w(1). Let z be 4\/(-5)*x\/(-34). Let g = z + -100. What is the greatest common factor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-1)\/(-2) + -1)\/((-1)\/66). Let o = x - 7. Let k = o + 16. Calculate the highest common divisor of 28 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17365*h - 2794*h - 293 + 292 to the form l*h + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3254073233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*a**3 + 2000*a**2 - 665*a = 0.\nAnswer: 0, 1\/3, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3938363 and 143.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 372*c**2. Let h(u) = -97*u. Let x(w) = -39*w. Let k(m) = -2*h(m) + 5*x(m). Give a(k(y)).\nAnswer: 372*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 12*v**2 - v + 2. Let s be 2\/9 + 40\/(-18). Let c be j(s). Let y be (-6)\/(-10) - c\/20. What is the third biggest value in y, -2\/7, -2\/13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eee when three letters picked without replacement from eyooyyoeoee?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 151125.\nAnswer: 3, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 57948?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/9 or -0.181667?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 6*d**3 + 3*d**2 + 4*d - 2. Let b(q) be the third derivative of q**6\/10 + q**5\/12 + 7*q**4\/24 - 2*q**3\/3 + 154*q**2 + 3. What is -3*b(o) + 5*m(o)?\nAnswer: -6*o**3 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 4093943387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the third derivative of 149*l**6\/120 + 8*l**4\/3 + 123*l**2. Find the second derivative of k(w) wrt w.\nAnswer: 894*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven quarters of a hour in seconds?\nAnswer: 24300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u + 2*u + u + (-3*u + 2*u + 3*u)*(-3 + 6 - 2) - 17*u + 6*u - 18*u)*(-2*u + 2 - 2)*(-19*u + 28*u - 16*u).\nAnswer: -350*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the third derivative of -77*g**6\/120 - 3*g**5\/20 + g**3\/3 + 17*g**2. Find the third derivative of d(b) wrt b.\nAnswer: -462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = 203 - 1213. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 36.5875km?\nAnswer: 36587500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -4*l + 5*j, 2*l + 0*l = 4*j - 2. Suppose -5*f = 5*k - 80, -l*k = -4*f - 41 + 6. Let x = -7 + k. Solve -14 + 2 = x*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 576563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8 - -13. Let r = -0.043 - 2.037. Let w = 0.08 + r. What is the biggest value in w, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4528773 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**2 - 9*k + 22. Let q(f) = 4*f - 52. Let g be q(16). Let a(w) = -w**2 + 12*w - 11. Let x be a(g). Let c be p(x). Which is smaller: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 889636651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + 9*l + 474 - 441 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -9*x + 2. Suppose -16*t - 10 = -26. Determine y(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -23 - -25. Suppose 2*l**2 + 7*l**3 - 8*l**d - 8*l**3 + 4 + 28 = 0. Calculate l.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 = 5*v - 14. What is the remainder when (-2 - 1)*(-47)\/3 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**2\/((g*g**(-8))\/g)*(g**(2\/5))**10 assuming g is positive.\nAnswer: g**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 8 = -3*w. Let v be (1 + -1)\/(0 + -1). Suppose w*u - 3*i - 26 = 0, 2*u = -v*u - 3*i + 4. Solve -5*y + 3*s - 2 = 0, -4*s + 14 = u*y - 12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (-3 + 1) - (-3 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 102686813.\nAnswer: 67, 1532639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -116 + 162. Suppose -s + 32 - t = 0. Is 1 + (-10636)\/s + 8\/28 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -119216.7 rounded to the nearest one hundred?\nAnswer: -119200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -2*x. Let a(n) = -361*n**2 - 634*n + 3. What is a(i(o))?\nAnswer: -1444*o**2 + 1268*o + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 215653470.\nAnswer: 2, 3, 5, 7188449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-165)\/(-27))\/(1\/12*-10).\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 107*i. Let d(q) be the third derivative of q**8\/20160 - q**5\/30 - 5*q**3\/3 - 45*q**2. Let l(c) be the third derivative of d(c). Calculate l(u(g)).\nAnswer: 11449*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 303258468 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*c**3 - 16800*c**2 + 16800*c**2 + 2.\nAnswer: 8*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 1, 0, 859, -3, -9 in decreasing order.\nAnswer: 859, 1, 0, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -393 - -393. Let s(h) be the second derivative of 0 + u*h**4 + 1\/90*h**5 + 8*h - 1\/9*h**3 - 2\/9*h**2. Factor s(w).\nAnswer: 2*(w - 2)*(w + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = 4*c + 5*p, 4*c - 6*p - 2332 = -2300 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -19981225 by -3996245.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*g - 18*g + 54 = 0. Suppose 2*w - 4*w + 24 = -2*b, -4*w + 40 = -2*b. Let k = w + 1. Calculate the lowest common multiple of k and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.02 - 0.08. Let g = -0.09 + 0.49. Which is the nearest to -1\/4?  (a) g  (b) -1  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21*1837\nAnswer: -38577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8564.\nAnswer: 2, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 500058.\nAnswer: 2, 3, 13, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 3\/23224  (b) 3  (c) 0.1  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -42032112 (base 7) in base 8?\nAnswer: -15375011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 337*t**2 - 16*t - 13. Let y be d(12). Suppose 0 = -5*i + 16*i - y. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.2 - -0.8. Let o = -4 - f. Let z = -0.5 + 0.4. Which is the smallest value?  (a) z  (b) o  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (2 + 8\/(-12))\/(28\/485751) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8309362955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 150120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x**3 + 248*x**2 - 1316*x - 1568 = 0. Calculate x.\nAnswer: -1, 7, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + 12 = -4*z, -5*z - 22*o + 18 = 101 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 1129.609 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lcnollllcloolloo. Give prob of sequence nn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 54017091 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:33 AM and 7:18 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-226 - -224) + (-26 - 9).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9711\/(-18426)*(-24)\/117.\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**3 - 8*g**2 + 2*g - 2. Let t be h(11). Calculate the highest common factor of 2 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -104 - -167. Suppose d + j = 338. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 less than -1536?\nAnswer: -1536.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 16\/(0 - 4) + 11. Find the third derivative of 8*r**6 + 6*r**2 - r**2 - b*r**2 + 3*r**2 wrt r.\nAnswer: 960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.4 and -139390282.\nAnswer: -139390281.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2265 is divided by 48.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/4 in 99, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 8\/(-5)*(30\/(-12) - 0). Suppose 5*x + k - 245 = -k, -4*x + v*k = -224. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l + 512*r - 517*r - 48, 0 = -5*l + 3*r + 47. Let k(p) = p**3 - 7*p**2 - 10*p + 16. Determine k(l).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2, 3, 2 in increasing order.\nAnswer: -2, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the third derivative of 7*f**6\/240 - 31*f**5\/30 - 3*f**4\/4 - 3694*f**2. Factor x(d).\nAnswer: d*(d - 18)*(7*d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 20 and -0.0856.\nAnswer: -1.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jybgdzyyzgzz. Give prob of picking 1 z and 1 b.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -69 - -68.36. Let x = 0.36 + q. Let r = x - -0.08. Which is the second smallest value?  (a) -3  (b) -4  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**3 + d**2 - 14. Let v be t(0). Let w = -3 - v. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 335 = 53*h + 653 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -113 - -302001013233?\nAnswer: 302001013120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1188 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (4\/3)\/((-100)\/60)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g - 8 = 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -3088 bigger than -3088?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2823701, -2823700, -2823699, -2823698, -2823697, -2823696?\nAnswer: -2823695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/(-18) - (-5370)\/135. What is the highest common factor of a and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 55 + 44 = 5*t, -2*t = h + 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 160*f - 2338440 = 4*f. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -43385b (base 12) to base 14.\nAnswer: -1d9a3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 2*t + 7 = 0. Suppose y = -3*w - 4, 2*y - y + 5*w + 6 = 0. Let j = 0.302 - -0.698. Which is the closest to y?  (a) j  (b) 3\/4  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/861295 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -383, -400, -429, -470, -523, -588, -665?\nAnswer: -754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*c - 1654 = -1690 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:32 AM and 1:14 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v = 3*d - 15, 3*d + 0*d = -3*v + 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4\/3 or -1\/11?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1025651 + 3047281?\nAnswer: 3047281.1025651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*a**4 - 3*a**4 + 3*a**4 + (a + 0*a - 3*a)*(0*a**2 + 0*a**2 - 2*a**3) - 8*a**4 + 3 - 3 + 4*a**3 - 4*a**3 - 5*a**4.\nAnswer: -11*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3.54 + 0.76. Let l = x - -0.7. Sort l, -0.4, -0.3.\nAnswer: -0.4, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 863 - -1360. Calculate the greatest common divisor of 52 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*h**3 + 3 - 7*h**3 - 48*h**2 - 5*h**3 - 2*h**3 + 9*h**3.\nAnswer: -8*h**3 - 48*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 - 1365?\nAnswer: -1366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -71 + 72. Calculate the remainder when 46 is divided by 189\/11 - n - (-54)\/(-297).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the third derivative of c**5\/660 - 5*c**4\/132 - 24*c**3\/11 + 54*c**2 - 13. Solve t(i) = 0 for i.\nAnswer: -8, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-120)\/(-195))\/((-12)\/(-78))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*h - 64*h + 11585 = -447*h for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 5, 0, 7, -6, -1\/4, -0.4.\nAnswer: -6, -0.4, -1\/4, 0, 0.2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 2) + 0 + (-6 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/16 and 137\/1324224.\nAnswer: 1324224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 147\/49 + (2 - -1)\/3. Suppose 0*u + 1\/5*u**q - 27\/5 + 18\/5*u**2 - 8\/5*u**3 = 0. Calculate u.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 216764539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -7, -1\/6, 1\/2, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*i = -11*i + 177. Let y be (-3)\/2*-2 + 0. Suppose y*j - 5*j + 40 = 0. Calculate the remainder when i is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 501 + -4543?\nAnswer: -4042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26876 (base 12) to base 16.\nAnswer: cf5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**2 - 10*n - 16. Let b be -18 - -30 - (1 - 0). Give d(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 + 5. Let r = 6.08 + -6. Let k = r - -0.22. What is the second biggest value in 0.2, n, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -12, -5, 1.7, 25 in decreasing order.\nAnswer: 25, 1.7, -2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 77665282*a. Let k(u) = u. Calculate k(n(r)).\nAnswer: 77665282*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-4)\/12)\/((-1)\/(-3)). Let x be (m + 1)*(-3)\/6. List the prime factors of (3*1)\/(1 + x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 889341*f**5 - 4*f**3 + 46918139*f**2 wrt f.\nAnswer: 53360460*f**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 13812708 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8228*f**5 - 12331*f**4 + 4880*f**3 - 192*f**2.\nAnswer: f**2*(11*f - 8)**2*(68*f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.373 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 143683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*z + 10562 = -176*z + 1675*z - 2479 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6\/31?  (a) -20\/123  (b) -2\/7  (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2164233 rounded to two decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -10714 at least as big as -1382210\/129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (352\/24)\/(1\/24). Let l = w - -513. List the prime factors of l.\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**2 - 6*k + 10. Calculate m(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 545.63 times 0.1?\nAnswer: 54.563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 81 divide 108621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 481 + -463. Suppose 5*u + 2*c = -2*c + 162, -26 = -u - 4*c. Calculate the remainder when u is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 57 divided by 478\nAnswer: 57\/478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {i: 7, k: 6}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -3*-6.5\nAnswer: 19.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (8 - 25) - -14 - (-2 - -12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 74*i**3 + 398*i**2 wrt i?\nAnswer: 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -5*s + 2*s. Let u(c) = 4*c + c - 1 - 6*c - 3. Give u(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -21, -41, -71, -117, -185, -281, -411?\n\"Answer: -w**3 + w**2 - 16*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 6, x: 2}. What is prob of sequence xppp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d + 100 - 15. Calculate the remainder when 48 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 23*q**2 - q. Calculate the remainder when v(1) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, -86, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.64 times 1\nAnswer: 0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -g + 12*g**4 - 3 - 6 + 68*g**2 + 0*g**2 - 10*g**4 wrt g.\nAnswer: 24*g**2 + 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -118*k**2 - 235*k**2 + 278*k**5 + 8*k**2 wrt k.\nAnswer: 16680*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 8 + 36 = 0. Let b(y) = 2*y**2 + 15*y + 8. What is the lowest common multiple of b(a) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 - 17 + 2*p + 15)*(5*p**4 - 22*p**3 + 22*p**3).\nAnswer: 10*p**5 + 35*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 462\/(-44)*-3*4\/(-18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 368158 is divided by 472.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 7*d**2. Let x(s) = -15*s. Let k(p) = 4*p. Let u(o) = 8*o + 5. Let q be u(0). Let l(j) = q*x(j) + 21*k(j). Calculate l(v(f)).\nAnswer: 63*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1139 = 10*u - 4881. Let b = u - 422. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the first derivative of -4*i**3 + 4\/5*i**5 - 1\/2*i**2 + 0*i - 165 + 0*i**4 + 2\/3*i**6. Find the third derivative of k(q) wrt q.\nAnswer: 240*q**2 + 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 202697792?\nAnswer: 2, 11, 499, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/110 and -69\/40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}