{"text":"Question: Which is the smallest value?  (a) -0.1  (b) 3\/4  (c) -2\/17  (d) -5  (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000894500875 rounded to seven dps?\nAnswer: 0.0008945","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 118833?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**29)**6\/(t\/(((t\/(t*t\/(t*t*(t*t**2*t)\/t*t))*t)\/t*t*t*t)\/t))**(14\/5))**(-40\/3) assuming t is positive.\nAnswer: t**(-2544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3*(-12)\/15*(-15)\/18. Let x be -1996 + 6 + w + -3. Let s be (-7)\/(x\/(-10))*3\/(-5). Which is greater: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 = 4*c + 2*a - 303, -2*a + 196 = 3*c. What is the remainder when c is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2656499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**3 + 6*c**2 + 18*c - 10. Let s be j(8). Solve m = 4*u + s*m + 1, 3*m = 4*u + 25 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-2)*-1*18138\/1061073\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-329)\/(-8) - (-15)\/(-120). Let c = 43 - q. What is the third derivative of 49*t**6 - 32*t**6 + 13*t**c - 32*t**6 + 4*t**2 wrt t?\nAnswer: -1800*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12501 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 17771 * 11.\nAnswer: 195481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 9 = -0*z. Suppose 0*g = z*g - 45. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the third derivative of 3*t**5\/20 - t**4\/8 - 3*t**3\/2 - 101*t**2 + t. Let g(q) = 13*q**2 - 4*q - 13. Determine 5*g(m) - 7*p(m).\nAnswer: 2*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the second derivative of p**6\/45 - 4*p**5\/15 - 18*p + 2. Find m such that i(m) = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60*s + 12*s - 83*s + 13*s.\nAnswer: -118*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0.03, -13, -68, 2\/3.\nAnswer: -68, -13, 0.03, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4951699 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 157227007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 714190.\nAnswer: 2, 5, 71419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-65 + 43 - 105)*(0*x**3 + 0*x**3 + 2*x**4).\nAnswer: -254*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(176) + sqrt(176)*-2)**2*-6 - (sqrt(176) + 1 + 2).\nAnswer: -1059 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 110\/40 - 5\/(-20). Suppose 8*k + x*k - 33 = 0. Solve -6*q - 13 = -j - 10*q, -3 = -k*j - 3*q for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -74*k - 78*k + 14*k - 15 - 12 + 6 to v*k + f and give f.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*g - 15, -3*u - 81 = -5*u - g. Suppose 3*o = -3*x + u, -5*o + 3*x = 2*x - 46. Suppose 2*j - 2*d = -0*j - o, -j + 25 = 5*d. Is j <= -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -45.74 + 10593.94. Round o to the nearest one hundred.\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*d**2 + 992*d + 6748.\nAnswer: 4*(d + 7)*(d + 241)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5399320 and 22555.\nAnswer: 70191160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(-11))\/(m*m**(-4\/3)*m)*m**10*m\/m**(-3\/2) assuming m is positive.\nAnswer: m**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 5*d - 150, 0 = 5*d - 2*o - 212 + 47. Suppose 0 = 4*p + 5*n + 32, n + 22 = -2*p - 3*n. What is the remainder when d is divided by (p\/2)\/((-87)\/986)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 less than -3\/22266208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**3 + 3*a**2 - 8*a - 7. Calculate v(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -851 - -1461. Calculate the remainder when n is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 49392.7 times -0.3\nAnswer: -14817.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56639*a**2 - 266 - 56639*a**2 + a**3.\nAnswer: a**3 - 266","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k + 6. Calculate d(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -4*r + 12296, -2*s = 22*r - 24*r + 12288. Let y = s - -20337. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the third derivative of -7*i**5\/60 + i**4\/8 + 2*i**3\/3 - 84*i**2. Find a such that f(a) = 0.\nAnswer: -4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30*10\/(-120)*7\/((-35)\/12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -5*o**2 - 132*o + 2. Let x(p) = -p**2 - 3*p + 1. Calculate a(y) - 3*x(y).\nAnswer: -2*y**2 - 123*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of w**2*y**3 - 15*w**2*y**2 + 3657*w*y**3 - 362*w*y**2 - 38*w*y + 2*w + 147*y**3 - 3 wrt y.\nAnswer: 6*w**2 + 21942*w + 882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*j + 256 = 37*j - 71*j for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*f**4 + 2*f**2 - 2*f**4 + f**4 - 3*f + f + 963*f**3 - 804*f**3 + 1 to b*f**3 + k*f**2 + u*f**4 + p + o*f and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.5  (b) 1\/7  (c) 14  (d) 0.0276  (e) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -449*l**3 + 9*l**2 + 15*l - 39. List the prime factors of p(-3).\nAnswer: 2, 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**4 + 40*i**3 - 118*i**2 - 112*i + 49.\nAnswer: -(i - 7)**2*(i + 1)*(3*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -450\/11 - -927\/22. Let g = -4498 + 1097515\/244. Let b = -6027\/976 - g. Find the common denominator of b and c.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-142 - 89 + 73)*((-2 - 2*y + 2)*(1 - 3 + 1) - y - 4*y + 4*y).\nAnswer: -158*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 8) to base 16\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4925938*i**6 - 8019726*i**2 wrt i?\nAnswer: 591112560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -4392667, -4392668, -4392669, -4392670, -4392671?\n\"Answer: -p - 4392666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in -0.4, -2, -9\/8, 16?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 42*v**3 + 9*v**2 - 19*v + 6. Let s(j) = -127*j**3 - 26*j**2 + 54*j - 17. Calculate -17*c(t) - 6*s(t).\nAnswer: 48*t**3 + 3*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 276 is divided by 97?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3342329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 55 - 52. Suppose 5*g - q*l - 3 = -0, -4*l + 16 = 0. Solve x + 3*x + 5*s - g = 0, x - 5*s - 7 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*s**2 - 2*s**2 + 0*s**2 + s**2 - 2*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -180*u**3 + 1020*u**2 - 1325*u + 500.\nAnswer: -5*(u - 4)*(6*u - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62138 + 4282 = -16*j. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 69 = -t - 4*t, 0 = -3*t - h + 41. Solve -i = 2*l - 5*i, 0 = 5*l - 3*i + t for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((-114)\/152*4\/(-45)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 4124 = 4262. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*a**2 - 41*a**2 + 957*a + 60*a**2 - 255*a.\nAnswer: a**2 + 702*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -10*p**3 - 2*p**2 - 2*p - 1. Let w be q(-1). Let a(d) = 2*d - 1. Let h be a(5). What is the greatest common divisor of h and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (6\/(-4))\/(2\/(-4)). Suppose -46 = -p - c*s, -p + 36 = 2*s - 7. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 6*k - 21. Let a = -4 - -8. Let f be c(a). Suppose -5*v + 93 = f*z - 64, v - 27 = -5*z. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 * -0.051.\nAnswer: 0.0153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 13279 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 131*j + 62. Let w(h) = -69*h - 31. Let c(l) = 6*v(l) + 11*w(l). Let x(b) = 3*b. Calculate x(c(z)).\nAnswer: 81*z + 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.817 + -0.183. Let z = 50 - 36. Let g = 18 - z. What is the biggest value in g, x, -2\/5, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -6*s**2 - 22934*s + 484254. What is h(21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -u + 1. Let l = -10 - u. Calculate the remainder when (6\/l)\/((-10)\/345) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10498 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 364231 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18660001 divided by 6.\nAnswer: -18660001\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -6479 (base 10) to base 12\nAnswer: -38bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*s = -2*s + 15. Let z(v) = 0 + 3*v**2 + 2*v**2 - 3 - 3*v**2. Is z(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -4 + (sqrt(16) + (sqrt(16) - (sqrt(160) - (sqrt(160)*1 - sqrt(160)))\/sqrt(10)))\/sqrt(2) + (sqrt(72) + 2)*2 + 1.\nAnswer: 4 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.04, 3, -4, 147, 5 in descending order.\nAnswer: 147, 5, 3, -0.04, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 15071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 359151302 and 22?\nAnswer: 3950664322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**2 - 3*g + 3. Let j = 1 - -1. Let z be r(j). Let s = -3 - z. Is s <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11891 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 118 = 2*t - 0*t. Suppose t = 3*j + 3*p - 34, 2*j + p - 60 = 0. Let m = j - 23. Calculate the highest common divisor of m and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3 and -14.77.\nAnswer: -17.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2296007 in 2, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - (-354)\/30)*(-2108)\/4216.\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 29 = n, 5*r + 5*n - n = 53. Suppose -r*a = -5*a + 12. Which is smaller: a or -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (4732\/(-26))\/(2\/(-6)). Calculate the greatest common factor of a and 637.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2655\/(-177)*(-4)\/(60\/27)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -117047 divided by -208?\nAnswer: 117047\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -744 - -761. Let o be (-34)\/(-3) - (-4)\/6. Let a = z - o. What is the greatest common divisor of a and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 962576051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -2, -3\/4, 6\/23 in increasing order.\nAnswer: -6, -2, -3\/4, 6\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -248 by 8.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 820 is divided by 104?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(1470))\/sqrt(10))**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b - 2. Let h(y) = -14 - y + 8 + 3 + 0*y. Determine -2*h(r) + 3*l(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r**(-4\/23)*r)*r\/r**(-3))**(-39))**(-21) assuming r is positive.\nAnswer: r**(78624\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 = -2*i - 2*r, -r + 460 - 409 = 3*i. Solve 2195*y + i = 2187*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 58*l + 265*l - 5*l**2 + 131*l + 5*l**3.\nAnswer: 5*l**3 - 5*l**2 + 454*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3932454 to the nearest integer?\nAnswer: 1983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.04?  (a) 2  (b) 2\/17  (c) -1\/4  (d) 4  (e) -103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 2*g**3 + 127*g**2 - 60*g + 248. Let w be f(-64). Let o(v) = v**3 + 5*v**2 - 23*v + 20. Determine o(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-206 + (-2352)\/48)*1\/5?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5\/10479 or -12650?\nAnswer: -12650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.16 in -28, -19\/6, -0.5, 274\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -5*n + 14, -3*i - n - 31 = 7. Let y = 20 + i. What is u in -2 + 7*u**3 + 4 - y*u**3 + 3*u = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -614, -617, -620, -623, -626?\nAnswer: -629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*c**2 - 6 - 4*c**2 + 8 + 3*c + (2 + 0 + 0)*(c + c**2 - c) + 0*c - c**2 + 0*c.\nAnswer: -3*c**2 + 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 - (-2 + -5*125) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*a**3 - 4*a**3 + 3*a**3 + (-2 + 5 - 4)*(1 + 0 + 0)*(0*a**3 + a**3 - 3*a**3).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1605509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-50*z**2 + 30 - 66 - 2*z**4 + 33)*(z + 2*z - 2*z + (0 + z + 0)*(0 + 2 - 1) + 2*z - 1 + 1 + 4 + 9*z - 4).\nAnswer: -26*z**5 - 650*z**3 - 39*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-21)\/h**(-29) assuming h is positive.\nAnswer: h**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, -5\/2, -31, 4, 0.3, 0.4, -0.073?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (31 + (-82 - -25))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (28\/(-1))\/(9 + -11). Suppose 5*h + 2*o - 1 - 1 = 0, -5*o - 20 = 0. What is the highest common factor of h and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1960078031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 0 + 6 = 0. Suppose -84 = -y*c + 45. Suppose 0 = -4*k - 325 - c. Round k to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 + 1 + 0)\/2. Which is the nearest to 2\/3?  (a) j  (b) -0.2  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -330*q**4 + 15*q**3 + 15*q - 1539. Let h(j) = 47*j**4 - 2*j**3 - 2*j + 220. Let k(p) = 15*h(p) + 2*l(p). Differentiate k(n) wrt n.\nAnswer: 180*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13882, 57702, 130732, 232972?\nAnswer: 364422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l + 32. Give c(-35).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-99)\/27*15\/5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*t + 20*t - 2 = 0, 5*t = k - 297. Suppose -853 - k = 21*j. Suppose 5*b = -4*n - 288, 0 = b - 5*n + 38 + 8. Is j at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = 2*p - 140. Suppose -2*k + 0*k = 72. Let n = p + k. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/4 + (-39)\/(-15) + -2. What is the second smallest value in -5\/4, x, 1\/6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/5)\/(198\/(-45)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 3*a = -54, -4*a = -4*h - 9*a + 216. Let w = h + -26. What is the remainder when 1\/4 + 1308\/16 is divided by w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1539*h = -6964 - 22277 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 2*p**2 - p + 14. Let v be t(8). Suppose 5*d - 4*d = v. Factor -3*r**3 - 136*r**4 + d*r**4 + r**3.\nAnswer: -2*r**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*y + 5*s - 9, 4*s = -y + 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 7, r: 3}. What is prob of sequence ryr?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 120050239?\nAnswer: 120050239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -10, 137, 0.17, -0.1 in descending order.\nAnswer: 137, 0.17, -0.1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 times 1277.3?\nAnswer: -16604.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m + 30 = 8*m. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -205*t + 12528 = 227*t. Let v(s) be the first derivative of 0*s + t + 0*s**3 - 4*s**2 + 0*s**4 + 6\/5*s**5. Find the second derivative of v(m) wrt m.\nAnswer: 72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 192657911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: 231.6*-2064\nAnswer: -478022.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*a**5 - 123*a**4 - 669*a**3 - 1401*a**2 - 1272*a - 420 = 0. What is a?\nAnswer: -35, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r\/(r\/((r**(-2\/79)*r)\/r*r))*r*r)\/r*r*r*(r*r**15*r)\/r*r assuming r is positive.\nAnswer: r**(1736\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the second derivative of -q**3\/3 - 4*q. Let b(t) be the third derivative of -t**4\/8 - 3*t**2. Calculate u(b(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 5*v = 16. Let f be 15\/(-6) + 2 + (-115)\/50. Which is greater: f or v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - 294 = -3*h. Let d(r) = r**3 + 3*r**2 - 5*r - 50. Let o be d(7). Let a = o - h. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k + k - k)*(8*k**4 + 0*k**4 + 7*k**4).\nAnswer: 15*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 5\/4 - 395\/220\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -18*d**2 - 4*d - 2. Let b(l) = -l**2 - l - 1. Let s(o) = 4*b(o) - q(o). Let n be s(-1). Solve i - 3*y + 5 = 0, 0*i - 4*y = 4*i - n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -27 + (10 - 3) - -10 - 12.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 580095?\nAnswer: 3, 5, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l - 4*b - 59186, 0 = 2*b + 6762 - 6772. What are the prime factors of l?\nAnswer: 7, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y - 41. Let j(k) = -10*k**2 + k. Let u(d) = 39*d**2 - 3*d. Let h(a) = 3*j(a) + u(a). Calculate h(b(t)).\nAnswer: 9*t**2 - 738*t + 15129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 6 - -8 - 1*(-3 + 4)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5865857\/455 + -12892. Put 0, 7, r in increasing order.\nAnswer: r, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/3 or -29.6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 + 6. Let q = 3649.8 + -3650. Is v at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/((-2)\/((102\/85)\/((-6)\/45)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1408\/5  (b) -18  (c) -75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2.6 and -231.8.\nAnswer: 602.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0231115 rounded to four dps?\nAnswer: -0.0231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 987, 1962, 2937, 3912, 4887, 5862?\n\"Answer: 975*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -14 by -13035.\nAnswer: 14\/13035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k*k\/k**(1\/25)*k*k*k*k**6\/k assuming k is positive.\nAnswer: k**(249\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -72018638, -144037275, -216055912?\nAnswer: -288074549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (7 - (10 - 5 - 3)) + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 17110 and 7080.\nAnswer: 205320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in q**3 + 8776603*q**2 - 8776603*q**2.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w - 0 - 32. Let k be 9\/(-12)*w\/(-15). What is the closest to 6 in -1, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -5  (b) -5557  (c) 5  (d) -2\/17  (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*a = a - 1430. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -34 + 11 + 142*b**2 - 197*b**2 + 16 as a*b + z*b**2 + w and give z.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + g - 24 + 10 = 0, o - 5*g - 6 = 0. Sort 2, 1, -5, o in decreasing order.\nAnswer: 2, 1, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**3 - 8*l**2 - l + 25. Let w be (-5 - (-1 + -2))*-4. What is t(w)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and -17605?\nAnswer: 8802.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ylcyq. Give prob of sequence yly.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -830506959, -830506958, -830506957, -830506956, -830506955, -830506954?\n\"Answer: k - 830506960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 36*q**2. Let l(c) be the second derivative of c**3\/2 + 164*c. Give l(g(r)).\nAnswer: 108*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -2*u - 2. Let t = 4 - 8. What is the remainder when 9 is divided by a(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 1 - 5 + (0 + 3 - 2)*(0 - 2 - 1) - 2 - 2 + 3)*(-r - 2*r + 6*r) in the form l*r + a and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 64 and 16?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c + 0*m = 9*m + 6, 2*c = 5*m + 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44 + 12856*g**3 - 62773*g**3 + 25 + 19.\nAnswer: -49917*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 111, 476, 1083, 1932?\nAnswer: 3023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -18 + (18 + 0 - (131 - 118)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**3 + o**2 + o + 12. Let u be b(0). Suppose 2*y = -y - u. Let p(r) be the second derivative of r**3\/6 + 4*r**2 + 4*r. Determine p(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = 2*j + 350, -70 = 2*w - 4*j - 194. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4063 - 25*l + 8130 - 4058 to a*l + s and give a.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 23.2 - 23. What is the second smallest value in z, -2\/13, 4\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7 in -0.07, 214.07, 0?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*v + 14*v = 16. Solve v*j - 3 = -3*o + 17, 3*j - 15 = -5*o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from {v: 1, c: 1, p: 1, t: 1, k: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*u = -32*u + 6*u - 114 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1769*i - 1825*i + 2128 for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*f - 6*f + 112 = 0. Let w be (-2)\/f - 414\/(-144). Let c(r) = 3*r**3 + 2*r**2 - 3*r + 3. What are the prime factors of c(w)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0506734626 rounded to five decimal places?\nAnswer: 0.05067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 14*k - 15. Give u(5).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -5*i - 6. Let a = 6 + i. Suppose 3*s = -4*t + 34, -2*t + 43 = a*t + 4*s. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 321.9999744 - 322. What is g rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 11*v**2. Let u(z) = 13. Let t(j) = -5. Let d(i) = -5*t(i) - 2*u(i). Let k(a) = -6*a - 12. Let x(n) = -12*d(n) + k(n). Calculate x(c(f)).\nAnswer: -66*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/78234 and -27\/13039?\nAnswer: 78234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the third derivative of -z**7\/35 - 2*z**5\/15 + 4*z**2. What is the third derivative of w(u) wrt u?\nAnswer: -144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 46  (b) -461  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -55.05 and -2.4.\nAnswer: 132.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -125 times 0.2\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 4*r - 2. Let a be ((-2)\/(-3))\/(2\/6). Let k be c(a). Let l = -34 + 36. Solve -3*i + k = -6*i, 0 = l*y - 3*i - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 186 and 150877?\nAnswer: 905262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o - 10 = -5*m + 4*o, 3*o + 6 = 3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 - 11*v**2 - 33*v**2 - 2*v + 0*v + 2*v as w + h*v**2 + o*v and give h.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*j = -11*j - 21. Calculate the smallest common multiple of j and (-20 + 14)\/((-6)\/4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35 = -39*r + 32*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (m + 2*m - 2*m)*(-43 + 39 - 48) + 6*m + 30 - 30 + 18 - 18 - 6*m - 2*m + m - m + (2 + 0 - 1)*(-m + m + m) + 2*m - m - 2*m to z*m + r and give z.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6.1 - -6. Suppose 5 + 37 = -21*l. What is the third smallest value in l, -1\/11, 5\/6, c?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 2*g = -36, h + 4*g - 17 = 43. Suppose h*u - 370 = 7*u. Solve 2*y + 2*j - 3*j - 4 = 0, -5*y - 3*j = -u for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 - 54?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 27 = 3*w + w, 0 = 3*f - 4*w - 57. Suppose 3*y - 74 = -20. Calculate the highest common divisor of f and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 39900035 = 8*s. Suppose i + l = s, -5*l + 25 = -0*l. Round i to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -58*w**2 + 19*w**3 + 58*w**2 + 15*w**3 - 18*w**3.\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 24629023, 49258044, 73887065, 98516086, 123145107, 147774128?\nAnswer: 172403149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the first derivative of -l**4 - 28*l**3\/3 + 36*l**2 + 10566. Factor w(f).\nAnswer: -4*f*(f - 2)*(f + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 45 - 44. Differentiate 4 + 25*k - 8*k + c + 4 wrt k.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2678549?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = 7*y + 4*y. Let j = 5 - 8. Sort j, y, 4 in decreasing order.\nAnswer: 4, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -2*n**2 + 2. Let p(h) = h**3 + h**2 - 1. Suppose 0 = -28*x + 25*x + 6. Calculate x*p(u) + r(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -9841*s**2 + 4*s - 2. Let f be y(2). Let l = 4355 - 3397. Let v = f + l. Round v to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 88 divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 - 3. Let z = i + 1.7. Which is greater: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 divided by -23\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 155941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48*a**3 + 162*a**3 + 4*a**3 + 124*a**3.\nAnswer: 338*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 112 divide 18144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.2 + 1.2. Let l = v - 0.09. Round l to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:22 PM and 6:44 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31746*x**2 + 4207*x**2 + 71 - 71.\nAnswer: 35953*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1306 - -2615\/2. Factor -g*h**2 + 3\/2 + 3\/4*h**3 - 3\/4*h.\nAnswer: 3*(h - 2)*(h - 1)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -547 + 3916. Let j = 189 - 174. Is ((-5)\/j)\/((-1)\/h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes before 6:29 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -103 (base 4) in base 6?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(21)\/(sqrt(9)\/sqrt(3)) + 0 - 4*(sqrt(7) - (2*sqrt(14)\/sqrt(2) + sqrt(7)))*-6)**2.\nAnswer: 14175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 61015 >= -0.118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-1 + 4 - 1)*(1 - 3 + 4) - 785 - 1243 + 1248)*(0*f + 0*f - f)*(4*f**3 - 4*f**3 + 3*f**3) as h + w*f**3 + o*f**2 + l*f + d*f**4 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**22\/d*(d*d**(1\/6))\/d assuming d is positive.\nAnswer: d**(127\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-18)\/63)\/((-17)\/7 + 2). What is the smallest value in l, 2\/9, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-35)\/(-1575))\/(-4*(-3)\/60)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -228*d - 2151 = -237*d. Suppose d*o - 250*o + 6996 = 0. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -5 and -9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 986564*g. Let y(j) = -4*j - 3. What is x(y(f))?\nAnswer: -3946256*f - 2959692","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 3*q = -30, -i - 4 = 2*q + 9. Let u(w) = w**3 - w**2 + w - 7. Let r(o) = 2*o**3 - o**2 + 2*o - 13. Let l(v) = 4*r(v) - 7*u(v). Give l(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 672.3392 to 0 dps.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**3 + 10*d**2 - 14*d. Let t = 1 - -5. Let r be n(t). Suppose -6*x + x = -r. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 88988498?\nAnswer: 2, 103, 431983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 142 + 5\/10*-12. Calculate the highest common factor of 68 and y.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:34 PM and 4:07 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 2*a**2 + a. Let n be 1 + -1 + 0 + 2. Suppose 10 + n = 4*t. Suppose -3*k + 4 = y, 0 = t*y - 6*y - 3*k + 6. Calculate c(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -0.1274?\nAnswer: -0.1274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**2 + 44*l + 1038. Let d be w(-17). Let z = -5 + 8. Let f(k) = -6*k**3 - k - k**z - 2*k**3. Give f(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -26 + 25.85. Put -2\/7, y, -1, 3 in descending order.\nAnswer: 3, y, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1*-8.758\nAnswer: 0.8758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 12  (b) 0.9  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4543113, 4543116, 4543115, 4543104, 4543077, 4543028, 4542951?\nAnswer: 4542840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16633.\nAnswer: 16633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m. Let x(q) = q**2 - 5*q - 5. Let a(h) = 2*h**2 - 4*h - 4. Let r(c) = -5*a(c) + 4*x(c). Give r(b(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1843 by -7.\nAnswer: 1843\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6, 24, 52, 90, 138, 196?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -249, -250, -257, -276, -313, -374, -465?\nAnswer: -592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 274 is divided by 271.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -38\/11?  (a) 0  (b) -2\/7  (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i + 0*i + 0*i)*(-4 + 6 + 0)*(1 + 4 + 2)*(-96*i - 4*i**3 + 96*i - 3).\nAnswer: 56*i**4 + 42*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -517 + 6?\nAnswer: -511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 142403 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1225 (base 12) to base 3.\nAnswer: -2210202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/14 - (-306)\/42. Let l(t) = -16*t + 2*t + g*t. Let n(r) = -r**2. Give n(l(s)).\nAnswer: -49*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:00 AM and 10:30 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 203117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 + -49 + 51 - 71.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the second derivative of -n**8\/1176 - 2*n**7\/735 + n**5\/105 + n**4\/84 + n**2\/2 + n. Let q(p) be the first derivative of r(p). Factor q(c).\nAnswer: -2*c*(c - 1)*(c + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:35 AM and 3:46 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 301 - -156. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 641469422 a multiple of 6711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*a + a**3 - 7*a**2 + 7*a**2 + 3*a - 4*a**4 - 3*a**4 to the form i*a + w*a**2 + h + p*a**4 + l*a**3 and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 5 - 2)*(-395 + 198 + 11*f + 201).\nAnswer: 22*f + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -40 + 43. Suppose 0*u = u - o. Suppose -3*v - 2*v + 3 = -3*d, -5*d = 2*v - 26. Solve p - 4*j + 1 = 2*p, -d*p = u*j - 17 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0981204*-0.06.\nAnswer: -0.005887224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 894.3625mg?\nAnswer: 0.0008943625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -3*o - 8 - 3*o + 8*o. Suppose -171*y + 5*b = -171*y - 55, 2*y - b + 3 = 0. Calculate r(y).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 - 151*q + 37*q + 74*q + 5 to the form l + g*q and give g.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (4 + -1) - 2 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3619 and 49114107.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -12142 - 110342?\nAnswer: -123034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1512*a**3*h*i**3 + 77288*a**3*i + 2*a**2*h*i**2 + 13*a**2*h*i - a*h*i**3 + 135*a*h - 429*h wrt a.\nAnswer: 9072*h*i**3 + 463728*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1200742869\/2057 + -583735. What is the common denominator of -47\/1683 and z?\nAnswer: 18513","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 30.66563799 - -0.4\nAnswer: 31.06563799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -8*t**2 + 42*t + 3. Let m be s(5). What is the greatest common factor of m and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 262 - -38. Is 18 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 32 = 4*b, -2*r - 2*r - b = -42. Suppose 96 - r = 2*m + 2*c, 5*m - 2*c = 194. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2111\/5 + -425. Calculate the common denominator of -14\/5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 29 = 5*u + 1, 5*q = 4*u - 17. Let f(b) = -b**2 - 4*b - 2. Let r be f(u). Suppose 11 = 2*o + w, -3*o + r*w + 30 = -w. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 216 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10489, 10121, 9761, 9409, 9065, 8729, 8401?\nAnswer: 8081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -75 + 70. Which is the fourth smallest value?  (a) r  (b) 3\/4  (c) 1\/3  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 616998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1798 + -927. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(4\/13)*n*n**(-3\/13))\/((n\/n**(-1\/2))\/((n\/n**(3\/4))\/n)) assuming n is positive.\nAnswer: n**(-61\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**2 - 18*v - 10. Calculate c(19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2111*f + 2110*f - 17 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j + 2. Suppose -11*k + 8*k = 834. Let x = -286 - k. Let p(v) = -v + 3. What is x*q(h) + 5*p(h)?\nAnswer: 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -15*p**3 - 38*p + 123. Give r(3).\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 10046309 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -n + 4*k, -n = 3*n + 5*k - 45. Suppose 0 = -31*l + 27*l + 840. Suppose -2*a = -0*s - 4*s + l, -5*s = n*a - 240. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -49753*-0.1.\nAnswer: 4975.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + 9*t)*((-1 - 2 + 5)*(-1 - 1 + 3) + 2 - 1 + 0 + (-2 - 3 + 7)*(2 - 2 + 2) + 1 - 2 + 0 + (-3 + 1 + 3)*(-4 + 3 - 1))*(-t - 10*t - 6*t).\nAnswer: -612*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -276, -276, -264, -234, -180, -96, 24, 186?\n\"Answer: j**3 - 7*j - 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 7*q = -10*q - 39, -5*c = 3*q - 21. Let v = -112 + 162. What is the smallest common multiple of v and c?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the second derivative of m**6\/1080 - m**5\/360 - m**4\/36 + 5*m**3\/3 + 3*m. Let q(g) be the second derivative of u(g). Factor q(r).\nAnswer: (r - 2)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (i + 3*i - 2*i)*(283 + 76*i - 283) - 11*i**2 + 5*i**2 - 15*i**2 in the form m + p*i**2 + j*i and give p.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*-2.20535\nAnswer: -0.88214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 4, -3, -186, 5 in decreasing order.\nAnswer: 5, 4, -3, -5, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -300*q**3 - 299*q**3 + 1204*q**3 - 3*q - 305*q**3 - 298*q**3 - 10*q**2 + 2 to the form w*q + z*q**2 + y*q**3 + d and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p - x = 4 + 9, -5*x = -492*p + 497*p + 25 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 181801 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -22*z**2 + 10*z. Let r(n) = 682*n**2 - 308*n. Calculate -5*r(b) - 154*v(b).\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -52*v**2\/3 + 2604*v + 666760\/3.\nAnswer: -4*(v - 211)*(13*v + 790)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 + 2. Find the common denominator of (-2)\/(-3) - (-10)\/(-45) and -26*(x\/(-2) + -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-7) - 32\/14. Let q be p\/(-12*1\/(-2)). Which is the nearest to q?  (a) -4  (b) 2  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/20, 3.7, -3\/7, -3.\nAnswer: -3, -3\/7, -3\/20, 3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -114*c - 3472 + 736 = 0 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in w - 4*w - 38 - 78.\nAnswer: -3*w - 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*o + 0*o + 6*o)*(5*o**2 - 3*o**2 + 28 - 27).\nAnswer: 6*o**3 + 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.24 + -0.06. Let d = w - -0.3. Let r = 128\/495 + -2\/55. Which is the second biggest value?  (a) r  (b) -0.2  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -2*d**3 - 11*d**2 - 328*d - 102. Let p be y(29). What is p rounded to the nearest 1000?\nAnswer: -68000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-4611)\/58)\/53)\/(3\/(-8))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2 - 0)\/(6\/(-75)). Let h be 16\/10 + (-10)\/g. Suppose h*w + 12 = y, -60 = -2*y - 3*y - w. What is the remainder when y is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:49 PM and 6:43 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 61 + -38. Suppose -q = -5*s + 7. Is 18 a factor of s\/(-4)*2664\/(-54)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-56)\/(-8)*(-2 + 4)*-8. Let k = -101 - v. What is the lowest common multiple of k and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(76\/(-19))*(132\/(-210))\/11?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 161917*f - 161687*f + 6670 = 0 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 200 divided by 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -5483702, -5483709, -5483728, -5483765, -5483826?\n\"Answer: -i**3 - 5483701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (5 + -2 + 7)*(-1)\/2. Suppose 10 = x - 3*s + 3, -5*s = -2*x + 12. Suppose 0*i - 5*i - 10 = 0. Put d, x, i in decreasing order.\nAnswer: x, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -209490 divided by 862?\nAnswer: -104745\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 9*a - 1. Let r be 3\/(a*15\/10). Solve r*u = -0*u + 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 9 - 5*c - 9*c - 2 - c**2 + 3. List the prime factors of g(-9).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jsydpspjw. Give prob of picking 1 w and 1 y.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1201.4 - -1344. Round y to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 76799174 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 9*o + 3. Let i(d) = -1106*d**2 - 3*d + 1. What is n(i(x))?\nAnswer: -9954*x**2 - 27*x + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 91*l - 21*l - 17850 = -644*l for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-22)\/121)\/(((-3)\/(-3))\/(-1)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes before 12:31 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.484  (b) 0.9  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1133255 is divided by 126.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1444 - -2100411?\nAnswer: 2102410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.8 + 1.1. Let s = o - 0.30013. What is s rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3 and 135698?\nAnswer: 407094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0058118109 to 6 decimal places.\nAnswer: 0.005812","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -1975231 + 1975231 + 5538*o as n + m*o and give m.\nAnswer: 5538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/9  (b) -3  (c) 8\/43  (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = -6 - 2. Let j(v) = -3*v - 3. Let b be j(k). Suppose 5*i - 3*g - 235 = 0, 3*i - 2*g = -b*g + 141. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 39582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 222624, 445240, 667856, 890472, 1113088, 1335704?\n\"Answer: 222616*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gs when two letters picked without replacement from gtyks?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7560910 by 7.\nAnswer: -1080130","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: -4626025 (base 8) to base 3\nAnswer: -2100211112220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -19173 + 14238?\nAnswer: -4b37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7819, 7824, 7825, 7822, 7815, 7804?\nAnswer: 7789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*x**3 + x**3 + 0*x**3)*(-4 + 1 + 6)*(197 - 138 - 103) in the form u*x**3 + b*x + r*x**2 + z and give u.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 plus 881.827?\nAnswer: 880.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 131372*t - 263286. What is i(2)?\nAnswer: -542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:29 AM and 7:39 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.1192142 - -0.11809. What is b rounded to five dps?\nAnswer: -0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68*t + 3*t**3 - 961*t**2 + 68*t + 961*t**2.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18440*z = -18486*z + 36901*z + 175 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 43 - 23 = 0. Find the second derivative of 2631*d**5 + 2*d**2 - 60*d - 2599*d**c + d**2 wrt d.\nAnswer: 640*d**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes before 6:25 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 5*c + 1. Let l be y(1). What is the tens digit of ((-57)\/l - -3)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*v**3 + 2*v**4 - 4*v**3)*(-140905 + 777*v + 458*v + 140905).\nAnswer: 2470*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(1\/2)\/k*k**(-12)*(k*k**(-2\/9))**(15\/8) assuming k is positive.\nAnswer: k**(-265\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that 7*t**3\/3 + 193*t**2\/3 - 287*t\/3 + 29 = 0.\nAnswer: -29, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 113 = 3*s + 95. Calculate the remainder when (-21)\/s*(-2 - 4\/2) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - (1 + -2) - (794 + -740).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*a**4 + 2*a - 2*a)*(-a + 6 - 6).\nAnswer: 8*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -90*f + 1418. What is the hundreds digit of q(-43)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the third derivative of n**5\/60 - n**4\/6 - n**3\/6 - 2*n**2. Let b(a) = 3*a + 20. Let f be b(-6). Determine u(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 2482880?\nAnswer: 2482880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(80)\/sqrt(2)*-5)\/((1*sqrt(96))\/sqrt(12)))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 21862 - 537. Does 163 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1*(-2 + 0 + -1). Let v(m) = 4 + m + 0*m + 0*m. Let k be v(-3). Put -4, l, k in descending order.\nAnswer: k, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -444803 (base 13) in base 4?\nAnswer: -12020331113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-834)\/((6\/5)\/3). Let w = -1334 - n. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the second derivative of -n**4\/12 + 5*n**3\/3 + n**2\/2 + n. Let s be v(10). Is 4 a factor of 8 + s\/(-2 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -140*r - 4524 = 376 for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, 37.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1209 - -1210.7. Sort -0.3, 2\/7, s in increasing order.\nAnswer: -0.3, 2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -129579, -1036690, -3498849, -8293578, -16198399, -27990834, -44448405?\nAnswer: -66348634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 3*r - 11. Solve -r*u + 2 = 17 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -92 + 91.7. Let s be 0 - (29\/(-174))\/((-5)\/(-6)). What is the nearest to 0.083 in s, f, 3, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d - 472231 = 8*d. Let v = -217769 + d. What is v rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -8*m + 57. Determine k(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6429908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 209*-11237.5\nAnswer: -2348637.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 973745*4\nAnswer: 3894980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 39559.37l in millilitres?\nAnswer: 39559370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 33, 2\/5, -177.\nAnswer: -177, 2\/5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 26fb (base 16) to base 12\nAnswer: 5937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 739 + -553. Let z = 17 - 15. Calculate the least common multiple of w and z.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/5 in -3, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0040492376 rounded to six decimal places?\nAnswer: -0.004049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 194765528077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert a788 (base 11) to base 15.\nAnswer: 4353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 504497101.\nAnswer: 19, 26552479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -m - m. Let l be 3*(m + (2 - 0)). Solve -l = 4*f - 19 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 16 + -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wi when two letters picked without replacement from {b: 1, w: 2, i: 1, o: 2, p: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 40 and 6403220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**2 - 4*i + 1. Let z be c(-3). Suppose z*b = -4 + 16. Suppose s - 15 = -4*h, -13 = -h + b*s + 7. Calculate the remainder when 13 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6333300 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 i when two letters picked without replacement from giqygqggygiy.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -5 - 8*v**2 - 7 + 26*v**2 + 11. Is d(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -160465284 divided by 1057.\nAnswer: -151812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*l**2 + 426316*l - 852616.\nAnswer: -4*(l - 106577)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 13091 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4.84 + 0.16. What is the third biggest value in i, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -448 divided by -3451?\nAnswer: 64\/493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, 19\/3, -8, -2.289?\nAnswer: -2.289","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 386587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 365520 plus -324426215?\nAnswer: -324060695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.2 + 1.151. Let o = 0.024 + w. Round o to 3 dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the third derivative of u**6\/40 + u**5\/5 + 9*u**2. Find the third derivative of t(f) wrt f.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o - 4*o + w - 1, -2*o + 7 = w. Let j be (o\/4)\/((-5)\/30). Let i(t) = t + 14. What is i(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(132) - ((3*sqrt(132) + sqrt(132))*-3 + sqrt(132)) - -5*(sqrt(132) - sqrt(132)*6))\/((sqrt(6912) + sqrt(6912)*2)\/(sqrt(4) - 1*sqrt(100))))**2.\nAnswer: 1859\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 45.94 - -0.06. Let y = -8.5 + g. Let j = y - 29.05. Round j to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 1, u: 12, j: 2, s: 2, m: 3}. What is prob of sequence ucju?\nAnswer: 11\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 256 divide 1332933376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 + -1 + 0 + 1)\/(-2). Suppose -2*v + q - 465 - 175 = x, -4*q - 1626 = 5*v. Is v at least -322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 25 + 3?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jujajuuhhu. What is prob of sequence uhhu?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**2 - 28*g - 762. Calculate s(45).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b - 3*c - 143, 5*b - 658 = -3*c - c. Suppose -2*d - y + b = 0, d + 3*d = -4*y + 268. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 - ((-2 - (-4 - -3)) + -7)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -29906, -29911, -29916, -29921, -29926?\nAnswer: -29931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2232 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 58454 + -58453.9. Let j = -6 - -3. Let n = j - -6. Which is the nearest to -1\/2?  (a) v  (b) 9  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 222102 (base 3) in base 9?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -192.16 rounded to 0 decimal places?\nAnswer: -192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:01 PM and 8:13 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -10101100000 (base 2) to base 8\nAnswer: -2540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**2 - 5*x + 2. Let d be h(-5). Let r be 3*-1*d\/(-3). Suppose 2*g - 4 = r*y + 10, 2*g = -3*y - 6. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6\/(-10) - 8*5\/100. What is the tens digit of r\/3 + 5093\/33?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z*z**(2\/21)*z)\/z)**(2\/37)*(z*z**(-14)\/z)\/(z*(z*z*((z**(-9\/4)*z)\/z)\/z)\/z) assuming z is positive.\nAnswer: z**(-39275\/3108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ain when three letters picked without replacement from njair.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -44\/9 - 2\/9*o**2 - 26\/9*o.\nAnswer: -2*(o + 2)*(o + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/12*-8*(150\/20 + -12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (2 - -1) + 4 + -4 + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**2 + o + 1. Let t(y) = -2*y**2 - 2*y - 1. Let a(f) = 3*t(f) + 5*w(f). Let x be a(0). List the prime factors of (20*1)\/2 - x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 174 and 72.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6.4 + -6. Let k = n - -1.1. Let z = -1 + k. Which is the smallest value?  (a) -1  (b) z  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3\/8, 0.2, -1\/3, 178, -2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 338 and 348478.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 474.979 rounded to the nearest ten?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**3 + 8. Let g be d(0). Let p = g - 8. Solve 3*s + q - 5 - 10 = p, 3*s + 5*q = 27 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 262 = o + o. Suppose -o*f = -124*f - 1715. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -32 + 141846?\nAnswer: 141814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 73.0000198 - 73. What is g rounded to six dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1158 by 4.\nAnswer: 579\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sbg when three letters picked without replacement from {n: 1, g: 1, s: 2, b: 9}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 99.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -169, -629, -1065, -1465, -1817, -2109, -2329, -2465?\n\"Answer: 2*h**3 - 474*h + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1193321, -2386648, -3579975, -4773302, -5966629, -7159956?\n\"Answer: -1193327*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:52 PM and 8:13 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 84 + -44 + 4 + -50 + 2 + 26\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6.1 + -2.396. Let g = b + -3.7. Let o = -0.144 + g. What is o rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -348 divided by -10\nAnswer: 174\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wh when two letters picked without replacement from qqwhhqq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 236258138 to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -4\/5  (b) 2\/11  (c) 2\/7  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*r + 1 + 8*r - r**3 - 2*r**4 + 0*r**4 to u*r**3 + x + f*r**2 + j*r + o*r**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/((w\/w**0)\/w))**31\/(((w\/(w**2\/w)*w)\/w*w)\/w**(-3\/7)) assuming w is positive.\nAnswer: w**(207\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3746*b = -3748*b - 6, 3*s - 3 = -2*b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -36 - -40. Suppose -2*b = 3*a - 33, 2*b - 12 = -a + b. Suppose -2*i = -c + 9, 2*i = -j*c - a - 5. Sort i, -2, 5.\nAnswer: i, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s - 7 = 3*b - s, -2*b - 3 = s. Let m be 1*b*(-4158)\/4. Let q = 929 - m. Round q to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-870)\/696)\/((-1)\/12).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*p**3 - p**3 + p**3)*((2 + 1 - 2)*(p + p + p) - 8*p - 7*p + 3*p).\nAnswer: -27*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 32 - (16 - (1 - -7)). Suppose 100 = k*t - 20. Solve -5*d = -5*v + t, -2*d - 3*d = -4*v + 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) 58  (b) -1  (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 187531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.719961 - 0.7233. Round u to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*-2*sqrt(1700))**2.\nAnswer: 61200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 35479?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9.02 + -0.02. Which is the closest to w?  (a) 0  (b) 1  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -m**4 + 12*m**3 + 3 + 2*m**2 - 4 - 14*m**3 to the form u*m**3 + j + x*m + n*m**2 + k*m**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from {f: 2, g: 1, u: 1, l: 1, s: 2, h: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 63 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 2*g - 7. Suppose -u - 6 = -0. Let w(s) = -7*s - 37. Let p be w(u). Determine x(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1132?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -2*f - 6. Let h(r) be the first derivative of 0*r + 0*r**3 - 3\/4*r**4 + 1\/2*r**f + 7. Find the second derivative of h(b) wrt b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 37679083?\nAnswer: 37679083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 3*k - f, 0 = -0*f - 2*f - 10. Solve -2*s + 2*u - 2 + 6 = 0, 0 = -k*s + 4*u + 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21, 9, -1, -24 in increasing order.\nAnswer: -24, -1, 9, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7*i**5 + 6*i**4 - 24932*i**2 - 3681277*i?\nAnswer: 140*i**3 + 72*i**2 - 49864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.255 and 2.\nAnswer: 0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2747.99994604 + 2748. Round j to six decimal places.\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 + 20562?\nAnswer: 2055b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -3021, 3, -5 in descending order.\nAnswer: 3, 2, -5, -3021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put together -5 and 3588856125111.\nAnswer: 3588856125106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 45315*a**5 - 4*a**3 - 13069*a**2 - 2*a - 4 wrt a?\nAnswer: 2718900*a**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*s = 35*s + 5*p - 40, 4*p + 63 = -15*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3430677 a multiple of 270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 3*i + 649 = -1075, -2*g = -2*i - 3428. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 15468175 and 225?\nAnswer: 139213575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 17249 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -559b + -4c26?\nAnswer: -a4c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 120*c - 2020 + 3796 + 3624 for c.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 154680?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 203 + -157. Calculate the remainder when k is divided by 36.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1523662.\nAnswer: 2, 7, 43, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -v - 179 + 179 + 63*v**2 as t*v**2 + h + c*v and give t.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -4*a**2 + 416*a - 10715. Give z(57).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 1596 = -6*d + 8*d, 4*y + 793 = -d. Let t = d + 1364. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 87240 and 6840?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 147 + 43 = 0. Let c = m + -20. Are 6 and c equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/n**29)\/n*n)\/n*n**33*n**(-6\/5)*n*n**(-18) assuming n is positive.\nAnswer: n**(-71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*j = -27*j - 5*j - 1675 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes before 11:40 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.2, -5, -1, -0.1, 3, -76?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -709*q - 5*i - 10005 = -711*q, 5*i + 14995 = 3*q. List the prime factors of q.\nAnswer: 2, 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jej when three letters picked without replacement from {e: 7, j: 5}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17712 divided by -1476.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*q**2 + 549487*q**3 - 549482*q**3 - 7 + 7 + 10*q**2.\nAnswer: 5*q**3 + 17*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((o**(-20)\/o)\/o)\/o)\/o**(-3))\/(o**11)**11 assuming o is positive.\nAnswer: o**(-141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 8999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 963237 (base 12) to base 3\nAnswer: 11110101020021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.74166461 to 4 dps.\nAnswer: 2.7417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**2 + 9 - 2*n - 2 + 8*n + 0*n. Let z be p(6). Solve z*s + 6 = 4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 1877 = -4*z - 1758, 4*l = 5*z + 2899. Let w = 4 + 82. Calculate the greatest common divisor of w and l.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/283024 and 23\/727776.\nAnswer: 5094432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15 + -13. Solve -c*m = -z - 9, 3*m + z - 16 = 3*z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 238 + -233. Suppose q*g + 868 = 9*g + 4*m, -m = -5*g + 1109. What is the remainder when g is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes after 6:38 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 4 - 2 + 0 + 6 - 5 + (2 - 5 + 4)*(-4 + 3 - 1) + 886 - 349 + 395)*((3*n + 2 - 2)*(1 - 4 + 4) - 2*n + 4*n - n) as x*n + l and give x.\nAnswer: 3728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15037 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - 2\/10)\/((-226)\/(-5085))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6.85?  (a) -0.2  (b) 0.1  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**2 + 4*c + 12. Suppose -1726*n - 12 = -1724*n. Calculate v(n).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1479588 and 17061?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1452) - (sqrt(1452) + (-2*sqrt(1452) - sqrt(1452))) - sqrt(12))\/sqrt(4))**2.\nAnswer: 3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 1039.764526 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**2 + 6*x + 6. Let c be u(-6). Suppose -c*b = -5*b - 10. Suppose -3*g = 4*s - g - 70, -2*s = -g - 41. What is the remainder when s is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.804047332 - -1.804. Round i to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from yayafayyaye.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26985, -26980, -26963, -26928, -26869, -26780?\nAnswer: -26655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 u, and 1 v when three letters picked without replacement from vynunyuyyfufyyuy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.1, 4\/7, 15\/13, -0.2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeeeeemeeeeme. What is prob of picking 2 e and 2 m?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 290 and 3045?\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 550\/(-1048) + (-1)\/(-4). Let a = q - 12301\/524. Find the common denominator of a and ((-53)\/6)\/((-6)\/18).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 206 - 114. Suppose k - p = -k. Let d = -12 + k. What is the greatest common factor of d and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 470573 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 + 19. Let x = -1 + j. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12010012112200 (base 3) to base 14\nAnswer: -50b50b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 2*q + 80. Let s(j) = j - 13*j - 2*j + 10*j + 14*j. Give s(i(k)).\nAnswer: 20*k + 800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -225 + -402?\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8 + -4. Let z(d) = -10 - v*d - 2 + 12. Let y(n) = -n + n + n + 0. What is y(z(o))?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 17*c**4*o**2 + c**4*o - c**3*o + c**2*o**2 + 2*c**2*o + 494*c*o wrt c.\nAnswer: 408*c*o**2 + 24*c*o - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 481 - 187. Let j = p - -31. Calculate the remainder when j is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1 - 1044*w**3 - 4*w**4 - 92*w**2 + 1140*w**3 - 1.\nAnswer: -4*w**2*(w - 23)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 219*g**2 + 4*g**5 - 112*g**2 - 107*g**2 + 8*g**4.\nAnswer: 4*g**4*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -165*c. Let g(f) = -6*f - 124608. Determine x(g(s)).\nAnswer: 990*s + 20560320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16606 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-120)\/50)\/(-6)*-1*20\/16.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -12\/47, 106.4, 4\/5, 4, 1\/2?\nAnswer: 106.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 + 5 = -2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -239, -1507, -4825, -11219, -21715, -37339, -59117?\nAnswer: -88075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the third derivative of -a**9\/12096 + a**8\/2016 + a**7\/336 - a**5\/60 - 13*a**2. Let q(r) be the third derivative of u(r). Factor q(p).\nAnswer: -5*p*(p - 3)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u\/(u\/(u\/((u*u*((u**(-3\/7)\/u*u)\/u)\/u)\/u*u))))\/(u\/(u*(u\/(u*u*u**0\/u))\/u))*(u**1\/u)\/(u\/(u*u\/(((u**(2\/17)*u)\/u)\/u))) assuming u is positive.\nAnswer: u**(394\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 201 is divided by ((-20)\/4 - (-16 + 2)) + 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-7\/2)*a**(6\/11)*a assuming a is positive.\nAnswer: a**(-43\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -10 divided by -21510\nAnswer: 1\/2151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1418*a**2 + 16955*a**3 + 18*a + 9 - 1419*a**2 - 16973*a**3 + (0*a**3 + 0*a**3 - a**3)*(1 - 4 + 2) + 0*a**3 + 0*a**3 - 2*a**3.\nAnswer: -19*a**3 - a**2 + 18*a + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(7) + 1 + (sqrt(28)\/sqrt(4) + 1)**2.\nAnswer: 7 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4392*r - 1680*r - 4407*r to o*r + h and give o.\nAnswer: -10479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 - 4. Let y(u) = -4*u - 4*u + 1 + 6*u. What are the prime factors of y(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 632*k - 30 = 627*k + 3*p, k + 5*p = -22 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.175 + 3.825. Which is the nearest to 2?  (a) -3  (b) l  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 6142880 and -0.3?\nAnswer: 6142880.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 22 = -2. What is the common denominator of 2397\/216 + w\/18 and 73\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91043474 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 2*k - 3 = -3*k, 5*k + 11 = g. Let c = 366 - 388. Let p = c + 22.4. What is the closest to -0.05 in p, g, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -17*i + 2*i - 7 + 13*i. Let a(l) be the first derivative of -l**2 - 6*l + 1805. Give 5*a(m) - 4*r(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-17 + 2 - (19 - 18)) + (-267 - -279).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2a8df3 (base 16) to base 4\nAnswer: -22220313303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1257*n = 1274*n - 782. What is the remainder when 3448 is divided by n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*v**3 - 170 + 18*v**2 - 183 + 353 + 2*v**3.\nAnswer: -v**3 + 18*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1507100 is divided by 125.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 460*k**2 + 13393*k + 1489. Calculate l(-29).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 47927 + 51734. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7253943467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 6*c = 3*c + 3 + 9, -2*u = 2*c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the first derivative of d**3\/3 + 11*d**2\/2 + 6*d + 2. Let b = -6493 + 6484. Determine c(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -92889 - 0?\nAnswer: -92889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put together -170625 and 7886343.\nAnswer: 7715718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 25008331 to the nearest integer?\nAnswer: 5001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wdwdbrw. What is prob of sequence dwr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**2 - 4*h + 1. Suppose 3*k + 6 = -5*s, 4*k + 4*s = -12 + 4. Let r be y(k). Solve -2*z + 15 = 5*t, 3 = r*t - 3*z - 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**2 + 3*b + 4. Let z be q(3). Let j = z + -2. Suppose 4*r - o = j*o - 3, 4*r = -o + 17. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-50))\/((-60)\/(-150)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 32 - e?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 278 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -336 + 509. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -878 or -879?\nAnswer: -878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*p + 8*p + 3. Calculate the highest common divisor of 4 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 5*l - 6. Suppose 2*r - 7*r = l*i - 316, 3*r - 202 = 5*i. Suppose 12*m = 4*m + r. Calculate the least common multiple of m and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2090454263.\nAnswer: 2090454263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 377327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ovrsov. Give prob of picking 2 v, 1 r, and 1 o.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**3 - 2*y**2 + y - 2. Suppose -2*n - 3*n = -25. Suppose -g - 9 = n*i + 7, 11 = -5*i + 4*g. List the prime factors of h(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 79\/(-4) - (-8 - -1)\/(-28). What is d rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**2 - 8*l - 8. Let g be i(9). Suppose t + g = -2, 5*f = 5*t - 665. Does 13 divide f\/(-10) + (-6)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -288 divided by -18\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*o**3 + 135115670 - o + o - 135115670 - o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 5*o = 83, 4*w + w + 4*o = 233. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -5 + 1 + -1 + 1. List the prime factors of (i\/8*106)\/(3 - 4).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -5, -4, 5\/7, 5, 152, -1\/4 in decreasing order.\nAnswer: 152, 5, 5\/7, 0.5, -1\/4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1520\/(-1900) - ((-6809)\/55 - -5)?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/((q*q\/(q*q**0))\/q))\/q*q)**31*q\/((q**(-1\/5)\/q)\/q)*q**(-2))\/((q**0)**(-9\/13)\/(q\/(((q*q*q**0)\/q)\/q))**(-1)) assuming q is positive.\nAnswer: q**(156\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 1 + 7 + 5*p**2 + 0*p**2 + 2*p - p**3 + 4 + 0. Let b be a(5). What is the greatest common factor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -85552.30003 + 85556. Let k = i + -3.7. Round k to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -58 minus -2605741126?\nAnswer: 2605741068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, s: 1, e: 1, g: 2}. Give prob of picking 1 s, 1 g, and 1 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2712052 a multiple of 274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -28*w**2 - 45*w. Let t(s) = 14*s**2 + 22*s. Let p(x) = 3*f(x) + 5*t(x). What is the second derivative of p(k) wrt k?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/35, -0.4, -0.2, 3 in decreasing order.\nAnswer: 3, -3\/35, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -30251*b + 2. Let j(q) = -5*q**2 - 20*q. Calculate t(j(w)).\nAnswer: 151255*w**2 + 605020*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 47\/4, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x + 1. Let w = -2 - -2. What is the units digit of u(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 34\/21, 0.077, -5, 2\/9, 0.4?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -4, -5, 3.\nAnswer: -7, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssxoxoxsx. What is prob of sequence xsx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r + 1. Let d(v) = 2*v - 3. Let o(j) = d(j) + 3*g(j). Let x(u) be the second derivative of 2*u**3\/3 + u. Give o(x(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*f - 878 + 2168 = 3*f + 678 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -8  (b) -308  (c) -1  (d) -2\/39  (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 68599 - 137206 + 68603 + 4*u. Let h(i) = -1. What is -3*h(b) - s(b)?\nAnswer: -4*b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -18*l**5 - 603*l**4 - 45*l**3 - 953364*l**2 + 4?\nAnswer: -1080*l**2 - 14472*l - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2431*c - 1110*c**2 - 2431*c + 207*c**5 wrt c.\nAnswer: 12420*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.46183 - 0.04327. Let j = 0.2 - 0.7. Let s = j - z. Round s to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 13 - 13 - 6 - 7*u. Let k(x) = x + 1. Let r(c) = -2*c - 1. Let j(z) = k(z) + r(z). Determine y(j(b)).\nAnswer: 7*b - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c**3 + 4*c**2 - 5*c + 12. Let f be ((-8)\/12)\/2 - 42\/9. Let r be n(f). What is the greatest common divisor of r and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.090107 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -332, -329, -326?\n\"Answer: 3*m - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 8379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**0*r)\/r)**(-1\/20))**(-31)\/((r**(-1\/2)\/((r*r*r**(-4\/7))\/r))\/(r*r*r**(-1))**(-6\/19)) assuming r is positive.\nAnswer: r**(163\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that -35*f**4 + 4630*f**3 - 204600*f**2 + 3039520*f - 851840 = 0.\nAnswer: 2\/7, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -25*q - 29*q + 51*q - 33*q**3 to t + z*q**3 + b*q**2 + c*q and give z.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -6*b**3 + b**2 + b. Suppose 2*r - 134 + 142 = 0. Let g be 0*r\/16 + 0 + -1. Determine l(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3831 and 2319.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**3 + y + 1. Let m be f(0). Let p = 528.3 + -528. What is the biggest value in m, -0.4, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -511 + 568. Does 57 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24290 divided by -694.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -5*w - 17. Give g(9).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1959677427 to the power of 1\/3, to the nearest integer?\nAnswer: 1251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 46375530 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -498.6396 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 200211102120 - 1102211?\nAnswer: 200202222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 224*l = 219*l + 2*s + 269660, -5*s + 161765 = 3*l. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-160)\/20 + (-76575)\/(-10))*2 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 97 + 185 = -4*z + 83, 4*v + 41 = 5*z for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -482*-3*(-1)\/(-3) - -2. Let p = 679 + -635. Calculate the greatest common factor of s and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 813548166 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (-15 - 7 - 9)*(-3*k + 4*k + 0*k)*(2*k**3 - 3*k**3 + 0*k**3) as s*k + x + i*k**3 + d*k**4 + n*k**2 and give d.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -4e3 (base 16) to base 14\nAnswer: -655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*1861069.\nAnswer: -186106.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5348 + 5343. Put 0.1, -2864, y in decreasing order.\nAnswer: 0.1, y, -2864","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -5*k. Let v(h) = 6*h. Let j(g) = -3*v(g) - 4*z(g). Suppose 5*u - 11 = -2*l, 4*l - 2*u - 35 = u. Let o(r) = l*r - r - r. What is o(j(n))?\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 24.530254 * 0.4\nAnswer: 9.8121016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 31.59, -3\/2, 5?\nAnswer: 31.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 40112183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 < 59765?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -75*m - 90 with respect to m.\nAnswer: -75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 432 - 272. What is the smallest common multiple of y and 80?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = 20, 0 = o - 3*o - 2*w + 14. Let h = 13826 - 55303\/4. Determine r so that -3\/8*r**2 + 0 + 3\/8*r**o + 1\/4*r**4 - h*r = 0.\nAnswer: -2, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1032638?\nAnswer: 2, 516319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 4*w**2 + 3*w - 3. What is d(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1668344?\nAnswer: 2, 107, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*o - 5 - 12*o**2 + 4 + 13*o**2 - 7*o**3 - o**4 as l*o**4 + w*o**2 + c*o + a + m*o**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 2*o**5 - 1726*o**4 + 401974*o**3 - 4449218*o**2 - 3736594992*o + 185879523960 = 0.\nAnswer: -95, 78, 401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21711*r + 922 = 21671*r - 1638 for r.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2744 + -2733. Solve 9*j + 43 + o = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(5) - (sqrt(5) - -1*sqrt(5)*6)**2 - sqrt(5)*-2*3.\nAnswer: -245 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuuxuuxu. Give prob of sequence ux.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = d + 59, k - 30 = 4*d + 10. Solve -t - 9 = 3*l - 11, -3*l - k = -5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1063 divided by -8\nAnswer: -1063\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -30*840\nAnswer: -25200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o**2 + 0*o**2 + 2 - 2*o**2)*(8*o + 6*o - 7*o + (2 - 2 - 4)*(o - 1 + 1)).\nAnswer: -12*o**3 + 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 9 = 4*g, -2*v - 3*v - 3 = g. Let u be (-1 - 1) + 1 + 1. Solve u = -g*z - 4 + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16466245\/791 - 20817. Do n and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 26 + 1 = 0, 38 = 3*q + 4*i. What is the common denominator of ((-354)\/4)\/(q*-2) and -85\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 1456241016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 3*q + 3. Let g(a) = -4*a**3 + 2*a - 1. Let x = -11 + 12. Let n be g(x). Is q >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -637680 = -199*z + 139*z. List the prime factors of z.\nAnswer: 2, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**2*y*y**(-3))\/((y*y\/(y**(-23)*y)*y)\/y**(-5\/7)) assuming y is positive.\nAnswer: y**(-180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) -0.5  (c) -4  (d) -10.693\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - c = -10, 1 - 107 = -5*j - 53*c - 16*c - 8 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1160*v - 420*v - 7397*v.\nAnswer: -8977*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2 - 0. Let y = 859.88 - 859.87. What is the biggest value in y, c, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 288\/(-14) - (-1628)\/2849?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -86 divided by 22?\nAnswer: -43\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 71477149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:10 AM and 7:15 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 4697.476ml?\nAnswer: 4.697476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 54196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.012 and 335863?\nAnswer: -4030.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 161*a + 171*a - 2*a**2 + 168*a - 493*a + 21 in the form s*a**2 + x*a + n and give n.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 192534513?\nAnswer: 3, 47, 151, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3.3 + -3. Let i = -2165 + 32477\/15. Let d = 62 + -312\/5. Which is the closest to 0.4?  (a) i  (b) d  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5  (b) 2  (c) 0.1  (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8050, -16104, -24160, -32218, -40278, -48340?\nAnswer: -56404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00667766553 to 4 decimal places.\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1023 and 292919?\nAnswer: 878757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o**5\/11 + 11632*o**4\/11 - 222006*o**3\/11 - 1611044*o**2\/11 - 3408040*o\/11 - 2334000\/11 = 0. Calculate o.\nAnswer: -5835, -2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.2 + -3. Let q = 376.2 - 376.7. Let s = -4\/9 - -10\/9. What is the closest to s in -1\/4, o, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2622160 a multiple of 584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 148 is divided by 74.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 8173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 186115183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -9, -2\/7, 13, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1)*h\/(h**14*h))**(19\/4) assuming h is positive.\nAnswer: h**(-285\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**1*x**(-1\/6)*(x**0)**(-5)*(x\/x**6*x*x**(3\/2))\/(x**(2\/3)\/x**(-1\/4)) assuming x is positive.\nAnswer: x**(-31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -32*d**3 - 2*d**2 - 19*d - 27. Let t(n) = 11*n**3 + n**2 + 7*n + 10. Calculate 11*t(x) + 4*w(x).\nAnswer: -7*x**3 + 3*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -28\/31, 1, 4?\nAnswer: -28\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 58888 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i - 1. Let f be v(-4). Suppose 2*m + 1 = f*o - 2, 2*m = -2*o + 12. Suppose -m*l = -l - 146. Is l a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((80\/24)\/(6\/(-9)))\/1. Is 5779*(l - (7 + -13)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -6  (b) 4\/5  (c) -2\/3  (d) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 2*p - 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 70110 divided by 190.\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 565*d - 558*d - 553 = 0. Calculate the greatest common divisor of 79 and d.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l - 4*l = h - 395, 4*h - 4*l - 1584 = 0. Suppose y = 2*y - h. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 105*j - 53*j - 184*j - 427*j.\nAnswer: -559*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 20 + -20.5. Put 0, o, 1 in decreasing order.\nAnswer: 1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {g: 8, z: 2}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3.35 + -1.56. Let b = f - 1.7. What is the closest to b in -4, 0.4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1124401 (base 6) to base 14.\nAnswer: -17213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3035*v - 3023*v = 7*l + 403, 3*v - 95 = -4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*y - 60*y = 172*y + 5355 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*o**2*p**2*v**2 - o**2*p**2*v - 238*o**2*p**2 + 418209*o**2*p*v**2 - 2*o**2*p*v - 2*o**2*p + 2*o - 2*p**2 + 187 wrt v?\nAnswer: -16*o**2*p**2 + 836418*o**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 127*z. Let i(g) = -4*g + 2. Let n(w) = -w + 1. Suppose 19*k + 14 = 26*k. Let t(p) = k*n(p) - i(p). Give a(t(r)).\nAnswer: 254*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 18034828 to the power of 1\/2, to the nearest integer?\nAnswer: 4247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -29655 + 2135111\/72. Calculate the common denominator of g and 27\/104.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13569 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 15836.18 - 15836. Let d be 4\/2*1\/(-9). Which is the nearest to -1\/4?  (a) 1\/4  (b) r  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 222 - 201. Suppose 34 = t*i - 50. Determine o so that -1\/5*o**i - 2\/5*o + 0*o**2 + 2\/5*o**3 + 1\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 325*o**2 + 139*o - 27. What is the units digit of w(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 47*z - 117*z + 19*z - 137*z in the form y*z + j and give y.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1319874644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**2 + 424*f + 3019. Let l be t(-7). Let i(m) be the second derivative of -45*m + 30*m**l + 0 - 35\/12*m**4 + 100\/3*m**3. Factor i(y).\nAnswer: -5*(y - 6)*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -1153*f + 174. Let r = -194 + 189. Is y(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 216 - 218. Which is the fourth biggest value?  (a) -2\/23  (b) t  (c) -3  (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1481.\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/40*10*(-10)\/(-25)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(2057)*2)**2.\nAnswer: 32912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 4 + 0 + 1 - d**2 - 3*d. Let j be -2 - (-4)\/3 - (-240)\/(-45). What is r(j)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -470 - 3395*s**2 - 503*s**2 + 470 + 2*s**2 + 0*s + 0*s + (4 - 5 + 3)*(3*s + s**2 - 3*s) + 3*s**2 - 2*s**2 - 3*s**2 to b*s**2 + z + j*s and give b.\nAnswer: -3896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/240*-4)\/(2\/2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2726, 38, 453 in increasing order.\nAnswer: 38, 453, 2726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 35385 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 30*m**3 + 7*m**2 - 12*m + 7. Let u be x(6). Let f(q) = -u - q**2 + 6674 + 6*q - q. Give f(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = y + 18 - 49, 0 = -4*m - 4. What is the highest common divisor of 7089 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k**3 - 1054*k**2 - 4192*k - 4184 = 0. Calculate k.\nAnswer: -523, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-2)\/(-5))\/((-21)\/((-735)\/28)). Let a = -101\/12 - -26\/3. Solve h - 1\/4*n**2 + a*n = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -9*q + 9. Let m(p) = -p + 1. Suppose 0 = -5*w + 20, 4*z = -0*z - 2*w - 16. Calculate z*m(b) + d(b).\nAnswer: -3*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 4\/53975 and -119\/762?\nAnswer: 323850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 3 + 7 + -2 - (5 + -6)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 (base 12) in base 3?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*o - 20*o + 32 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-3)\/4)\/((-39)\/104). Let l be 440\/460 - -1*(v + -3). Are 0 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**(-7)*j*j**0)\/(j**(-2)*j*j**(1\/2)) assuming j is positive.\nAnswer: j**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-177)\/59*5\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -160baa0 (base 12) to base 14\nAnswer: -851ac0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (0 + 11 - 15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15 + 8. Let y be 1*-35*d\/7. Suppose -4*n + y + 37 = 0. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 45 - -37\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes before 1:49 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3204*-0.5.\nAnswer: -1602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1200230 - 22?\nAnswer: 1200202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-31)\/(-52) + (-6)\/144*18?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**1)**(-7))**17\/((k**(-3)*k**(-1\/8))\/((k*((k*k*(k*k**(2\/7))\/k*k)\/k)\/k)\/(k\/k**2))) assuming k is positive.\nAnswer: k**(-6305\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 279279626 to the power of 1\/3, to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1219\/11 + 111. Let o = 184 - 741\/4. Put t, 1\/5, o in increasing order.\nAnswer: o, t, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xuxuxu. Give prob of sequence uxu.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yxzcxynyxyzy. What is prob of picking 2 x and 1 c?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:34 AM and 4:56 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -21667 < -21685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 787017?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 3*r + 2 = 0. Let u(a) = -4 + 5 - r - 6*a. List the prime factors of u(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8446?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -39 + 103. Let l = -2.0633 - -1.5633. Which is the closest to -2\/7?  (a) s  (b) 4  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -71 - -72. Let f(o) = 897*o**2 - o + 1. Let z be f(a). Suppose z = 15*l - 2*l. Calculate the greatest common factor of l and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -211.6 - -191. Let r = -21 - a. What is the fourth smallest value in 3, 1\/2, r, 2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 33727 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4483.38 + 4347.38416. Let n = -136 - m. What is n rounded to four decimal places?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1622724 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**2 - p + 1. Let z(x) = -7*x**2 + 5*x - 11. Let o(l) = -2*l + 17. Let s be o(9). Let c(h) = s*z(h) - 6*g(h). What is c(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 - 6. Let g = 7\/125 - 593\/6125. Is g at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**2 - 22*t - 57. Let x(v) = -v**2 - 58*v + 585. Let j be x(-67). Determine y(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the first derivative of 0*t + 2\/3*t**3 + 0*t**2 + 2. Let l(n) be the third derivative of n**5\/60 + 2*n**2 - 79. Calculate f(l(v)).\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*y - 1244*s + 1245*s + 39, 48 = 4*y - 4*s for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 386, 778, 1176, 1580, 1990, 2406?\n\"Answer: 3*c**2 + 383*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/52 and 49\/8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -6*v - 98. Let m(l) = 32*l + 490. Determine 11*k(o) + 2*m(o).\nAnswer: -2*o - 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 786905153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 34114 - 34112. Let c(u) = u - 3. Let f be c(3). Solve 0*s + s - g = f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*k - 4 - 44. Suppose -5*p + p + 352 = 0. Calculate the greatest common factor of k and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 22 and 40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 630 is divided by 108.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35*20.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:09 PM and 11:10 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 1474 = -2*u, 2*h - 247 = 4*u + 475. What is the second derivative of 4 + 7*k - 4 + 333*k**2 - h*k**2 wrt k?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 142 - 538203?\nAnswer: -538061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 70146 by 433.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1110110221210 + -20?\nAnswer: -1110110222000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 2*w - 4*w + 3*w + 3.\nAnswer: -3*w + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (447\/(-9))\/(4\/(-72))?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3829034317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**3 + 6*l**2 - 5*l - 11. Let d be (-8)\/10*(-165)\/(-6). Let q = 16 + d. List the prime factors of o(q).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5588256343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 656060501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**2 + 3*w + 82. Let g be l(10). Are g and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 19*z + 118 + 15 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i**5 - 61959*i**4 + 426505098*i**3 - 978260416290*i**2 - 1957800595725*i - 979113612375 = 0. What is i?\nAnswer: -1, 6885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vidvvdiddvv. What is prob of picking 2 v and 1 d?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2590 divided by 7?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81*a**3 + 1489*a**2\/2 - 1429*a\/6 - 19\/3 = 0. Calculate a.\nAnswer: -19\/2, -2\/81, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/9  (b) 3836  (c) -3  (d) -59  (e) 0.4  (f) 0.2  (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 56094 from -3.\nAnswer: -56097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*0.647625.\nAnswer: -0.25905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 60 and 570.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10000011 + -1100001011011101?\nAnswer: -1100001101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 3 = -4*y. Find the first derivative of -1 + 2 + w**4 + y - 3 wrt w.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 5*j - 7, c + 10 = 3*c + 4*j. Suppose -2*h + 5 + c = 0. Let a = h + -3. Solve t + 0 - 5 = a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4341479 is divided by 109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m + m + m. Solve 0*i - i - 3 = m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*a**3 - 12*a**2 + 12*a**2)*(-7 - a + 11 + 4*a) in the form d*a**3 + o*a + i*a**4 + v + z*a**2 and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 8\/(2 + (-216)\/114). Calculate the greatest common divisor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1145 times -46.59\nAnswer: 5.334555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -134 + 138. Suppose 60*y = 58*y - 12. Suppose z + 3*z = -8. Sort w, z, y, 0 in increasing order.\nAnswer: y, z, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 5, a: 4, b: 1, c: 3, w: 1}. Give prob of sequence bw.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 21122011202 (base 3) to base 2\nAnswer: 100100101100011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 divided by -706210.\nAnswer: 1\/70621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -324.23880653 rounded to two dps?\nAnswer: -324.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 826 + 402. Let p = -656 + x. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes before 9:17 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of k**3*u**3 + 66902*k**3*u - 21*k**2 + k*u**3 + 13*u wrt k?\nAnswer: 6*u**3 + 401412*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13537, 28122, 42707?\nAnswer: 57292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -19788.229 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*t + 34*t = 59*t. Solve 2*a + a - 5*l = -1, -3*a - 5*l - 11 = t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 625 - 0?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 592461075 to the nearest integer?\nAnswer: 24341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 38\/4 + 3\/6. Let l = y - 5. Suppose -5*j - 2*h = -5, 17 - 45 = -j + l*h. Solve 5*s = -2 - 3, 9 = -3*z - j*s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-5)\/(20\/48) + 8. Put n, -271, 2 in decreasing order.\nAnswer: 2, n, -271","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 654491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes before 8:53 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a = -11*u + 98, 106915*u = 106914*u - 4*a + 16 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3107429.\nAnswer: 13, 151, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 3969, 1790, -371, -2514, -4639, -6746, -8835?\n\"Answer: 9*u**2 - 2206*u + 6166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 + -6. Let c = w - -4.2. Suppose -136 = 55*o - 21*o. What is the closest to c in 2\/5, o, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**2 - 2*j - 1. Let t be n(-3). Let d(a) = a**3 + 6*a**2 + 4*a - 5. What is the remainder when 42 is divided by d(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 391843813 to the nearest integer?\nAnswer: 19795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.41 - 1.71. What is the nearest to -0.1 in g, -3, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 4) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1.28 or -1\/2?\nAnswer: -1.28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 686, 679, 672, 665, 658?\n\"Answer: -7*d + 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 13823 and 1633?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 157\/570840 and -19\/119848?\nAnswer: 120447240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3313 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-558)\/2170*(-20)\/90\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = u - t + 3*t, 3*t + 5 = 2*u. Let a be 1\/(u + (-22)\/(-10)). Suppose 596 = a*q - q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.3300019 + 0.33. Round u to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = 2*x - 8, 0 = -0*x - 3*x - 3*g + 30. Calculate the remainder when 67 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*n**10)\/n)\/n**3)**32 assuming n is positive.\nAnswer: n**224","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**3 + 46*q**2 - 44*q + 175. Give m(-47).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 193 + 11 = -69*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the first derivative of j**4 - 2*j**3\/3 + 5*j**2\/2 - 2*j + 4. Let p(n) = -5*n**3 + 3*n**2 - 6*n + 3. Give 3*k(f) + 2*p(f).\nAnswer: 2*f**3 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 430 divide 232630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*t - 2*t - 2*t**2)*(3056 + 1083*t**3 - 3056).\nAnswer: -2166*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(2\/21))**49*(c**(-3\/2)\/c)\/c**17 assuming c is positive.\nAnswer: c**(-89\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -27535, -110178, -247937, -440818, -688827, -991970, -1350253, -1763682?\nAnswer: -2232263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u**2 - 5*u + 1. Let w(y) = -2*y**2 - 9*y + 2. Let z(o) = -3*w(o) + 5*x(o). Determine z(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the first derivative of n**5\/60 - 22*n**3\/3 + 11. Let m(a) be the third derivative of d(a). Let u(v) = 26*v**2 + 2. Calculate u(m(q)).\nAnswer: 104*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -7*l**2 + 6*l - 9. Let c(o) = 8*o**2 - 7*o + 10. Let p(a) = 5*c(a) + 6*s(a). Let y be p(-3). Let k = -32 - y. Which is greater: -9 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:55 AM and 9:27 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 4 = 2*s, -3*t + 3*s - 13 = 8. Suppose -368 - 194 = 2*r. Is r*t\/(6\/9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001418 rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13 - 13.43. Let b = u + 0.03. What is the closest to -0.1 in -2\/3, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -32, -30, -26, -20?\n\"Answer: t**2 - t - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5242?  (a) 2.39  (b) -0.3  (c) 5  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11 + 18. Let k = 640 + -604. Suppose -11*a - k = -n*a. Which is greater: a or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 3484350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*k + 68 = -46*k - 2*s, 4*k + 58 = 3*s. Let v = k + 157. Which is bigger: v or 140?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-2) + 1)*(-48)\/(-36).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 37 - 160. Let f = h + 208. Suppose -2*t - f = -l, -l + 3*t + 425 = 4*l. What are the prime factors of l?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**4\/5 - 2*p**3 - 26*p**2\/5 - 14*p\/5.\nAnswer: 2*p*(p - 7)*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5061 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 765 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.83027 + 2261.85973. Let v = b - 2253. Let i = -10.4 + v. Round i to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -11, 5, -6, 4.\nAnswer: -11, -6, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 4 = -134. Let s = i - -30. Suppose 384 = s*c + 5*b, 2*c - 178 = 5*b - 16. Is 18 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a - 3*a - 104. Calculate the least common multiple of a and -40 - (-97)\/(4462\/3312).\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the third derivative of w**4\/8 - w**3\/2 - 17*w**2. Determine o(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1213*d = 1247*d - 47 - 259. Suppose 0 = r + 9. Let a be (3\/(-9))\/((-5)\/r). What is the third biggest value in a, d, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 17 and 109115554?\nAnswer: 109115554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3256061682?\nAnswer: 2, 3, 542676947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -2*c + 92, 5*r = -2*c + 98 + 126. Suppose -4*q + 94 = -d, 3*d = -4*q + 78 + 8. Calculate the remainder when r is divided by q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 227 is divided by 117.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1582.193445 - -1470.3642. Let l = i + -0.171975. Let g = l - -112. Round g to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1164841*x - 1167376*x + 2324608*x in the form q*x + v and give q.\nAnswer: -7609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 1025*t + 4122. Give z(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) 1.39  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**3 + 2*s**2 + 2*s - 2. Let u be (-1)\/(-1)*(33 + -29). Let t(v) = v**3 - 5*v**2 + 5*v - 7. Let h be t(u). Calculate n(h).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*j**4*p**2 - 112*j*p**2 - 102*p**2 - 2*p with respect to j.\nAnswer: 8*j**3*p**2 - 112*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that 3*c**5 + 3357*c**4 + 991134*c**3 + 88389948*c**2 + 87402168*c = 0.\nAnswer: -714, -202, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 21352470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 27 - 1240?\nAnswer: -1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12*((-64)\/8)\/(-24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -183*-0.5.\nAnswer: 91.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-51)\/(((-1887)\/34)\/(-37)))\/(2*-4)?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/13?  (a) -1\/5  (b) 0.001  (c) 4639  (d) 0.1  (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1222*r + 725*r + 162881 = -7883*r - 331981 for r.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3 and -7.82042?\nAnswer: -23.46126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3631 - 3631 + 35*b to the form d + o*b and give o.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1.41 times 527\nAnswer: 743.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(1\/6))**(-3) assuming n is positive.\nAnswer: 1\/sqrt(n)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 = -4*v - 5*f, -4*v + 28 = 7*f - 3*f. Is v equal to 12\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -11 - -21. Let k = a - 1. Calculate the remainder when 25 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the first derivative of m**3\/3 - 5*m**2\/2 + m - 18. What is the lowest common multiple of h(7) and 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8565808 to the power of 1\/2, to the nearest integer?\nAnswer: 2927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 2 + 6)*(-3*i**3 + 3*i**3 + i**3 + (-1 - 1 + 0)*(-i**3 + 0*i**3 + 3*i**3) - 2*i**3 + 3*i**3 - 4*i**3) as v*i + x + c*i**3 + y*i**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3.159 + -3.1589995482. What is l rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2.92, 1106, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 2*c + 7. Determine f(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.005 + 0.025. Which is the third smallest value?  (a) -1  (b) x  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 109 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is (-419*2\/3)\/((-1222)\/111813) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x = -5*b + 15, 14983*b - 22 = 14975*b - 2*x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbadbaadgbsdsbad. What is prob of picking 1 b and 1 a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -2*v**2 - 8*v - 4. Let y be q(-6). Is (-3 + y)*5\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28197.\nAnswer: 3, 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(-18) - 9\/(-27). Factor -2\/9*u + 0 - j*u**2.\nAnswer: -2*u*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**3 + 3*k**2 - 7*k + 4. Let s be g(5). Let t = s + 807\/10. Suppose 9 = 2*m - m - 5*q, -5*m + q = 3. Which is smaller: m or t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 2*s - 14*s - 36 + 4*s + 9*s. Let b be l(21). Let r be (-35)\/(-25) + (-9)\/b. Solve 2*z = -z - 2*q, r*q = -4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65*(14\/16 + -1) and (-2)\/(-16) - (-51)\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1011431 + 1141341?\nAnswer: 124410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1560348 and 48213.\nAnswer: 17163828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.96 + -0.16. Let m = 0.2 + f. What is the closest to 0 in m, -3\/7, 4\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -118 + 108 + -1 + (5 - -40)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2169*k + 0 + 6550*k - 2180*k + k**2 - 2184*k + 9 - 9.\nAnswer: k**2 + 17*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 3*f**3 + f**2 - 2*f + 5. Let t(m) = 16*m**3 + 5*m**2 - 11*m + 26. Let h be (3 - 4)*6\/3. What is h*t(n) + 11*z(n)?\nAnswer: n**3 + n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 67 - 58. Suppose 0 = 10*v - o*v - 75. What is the greatest common factor of 30 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**2 - 15*p + 9. Let l(s) = -2*s**3 - 5*s**2 - 3*s. Let o be l(-4). What is the remainder when o\/(-8)*16\/(-5) is divided by w(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 7, q: 1, c: 1, v: 4, f: 2}. Give prob of picking 2 v and 1 c.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1235 = 17*w - 4*w. Which is bigger: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6*10*((-60)\/330)\/(28\/(-77)). Solve 9 = 5*m + 2*j, -13*j + 18*j = 5*m - q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 128461904*r**3*z - 1182*r**2 + 1140*r*z + 11 wrt r.\nAnswer: 770771424*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -2*p**2 + 4. Determine y(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*b**3*l**2*v**3 + 30635*b**3*l*v**3 - 1921*b**3*v + 3*b**2*l**2*v - v**2 wrt v?\nAnswer: 12*b**3*l**2 + 183810*b**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 464, 546, 628?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least as big as 13\/1717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -4  (b) -6  (c) 3.7307  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1479*m + 1479*m + 5*v - 25, -33*m - 4*v - 1183 = -213 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 8 + 5 - a**3 + 2 - 11*a**2 + a + 1. Let i be 114\/(-10) - 12\/(-30). Let c be g(i). Solve -4*k - 6 = -5*r - 33, 2*r + c*k = 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -25 + (-62 - -46) + 8?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1505 (base 6) to base 8\nAnswer: -621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*t - 150 = -1326. Let j = 21 + -8. What is the remainder when t is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -132 + 548. What is the greatest common factor of x and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 - 33 - 37)*(-25 - 10*b + 25).\nAnswer: 770*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**2 + 18*k - 71. Give j(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 7, -54, -213, -500, -945, -1578, -2429, -3528?\n\"Answer: -5*l**3 - 19*l**2 + 31*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2527*o = -2524*o - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 34709930, 34709908, 34709884, 34709858, 34709830?\n\"Answer: -b**2 - 19*b + 34709950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3 + -4 + 0 - -3. Differentiate 3 + 4 - 5 + 6*o**3 + d wrt o.\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 92921 is divided by 30734.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + sqrt(180) + -1)**2 + ((sqrt(180) + 1)*-4)**2)*-1*-5.\nAnswer: 600*sqrt(5) + 15560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = 0, -3*z - l + 1104 = 3*l. Suppose 0 = 4*w - z + 84. Calculate the remainder when w is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*z - 16 + 23 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 33012233 - -11?\nAnswer: 33012310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 3*r + 5*r + 52 = 0, -4*d = -5*r - 108. Suppose -d*b + 9*b + 24089 = 0. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 51*y**2 - 4 + y**3 - 409*y + 207*y + 206*y in the form v + c*y**3 + b*y**2 + d*y and give b.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 376 + -1507\/4. Which is the closest to -1\/4?  (a) -0.1  (b) g  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 91952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 272636313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 23.297637 months?\nAnswer: 0.0194146975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/(-36))\/(5\/15)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*l**2 - 3*l**2 + 5*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) -105.4202  (b) -0.3  (c) -1  (d) -2  (e) -5\/4  (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 153*k**2 - 398*k**2 + 198*k**2 + 4 + 5*k. Give p(-1).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -59013 at least as big as -0.19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jkjvozjj. What is prob of picking 3 j?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**(-3\/4)*m)\/m)\/((m\/(m*m*(m\/((((m*m**(1\/3))\/m)\/m)\/m))\/m))\/m))**47 assuming m is positive.\nAnswer: m**(1645\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**3 + 21*l**2 - l - 7. Let u be (-2)\/(2\/(-15)) + -1. Is p(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide (96\/(-56))\/(-4) - (-498)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -523599, -523597, -523595?\n\"Answer: 2*r - 523601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**2 + 251*m - 3715. Calculate i(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*v**5 + 395*v**4 - 7550*v**3 - 12040*v**2 + 83200*v - 64000 = 0. What is v?\nAnswer: -4, 1, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 7135, 2, -3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (471\/314)\/(6\/56).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((r*r\/((r\/(r\/(r**(-5\/2)*r*r)))\/r*r))\/r)\/(r**(-1\/9)\/r))\/(r**4*r**(-3)))\/(r**(2\/3)\/r**(3\/5))**49 assuming r is positive.\nAnswer: r**(-149\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dgdgddwdndgn. What is prob of sequence wn?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*j + 4*j**2 + j**2 - 54*j - 3*j**2.\nAnswer: 2*j**2 - 91*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 4\/743, 2 in decreasing order.\nAnswer: 2, 0.3, 4\/743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -72407818935.6 - -3.\nAnswer: -72407818932.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*y + 2 + y - 4*y)*(-1381*y**2 - 546*y**2 + 180*y**2).\nAnswer: -1747*y**3 - 3494*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6.9 - -7. Let x = p + 2.3. What is x rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in 2\/3, -2\/7, 110, -1527?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 548 (base 16) to base 6\nAnswer: 10132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.0208 to 1 decimal place.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**3 + 2*u**2 - 5*u - 14. Let d be p(6). Let j = 283 + d. Calculate the highest common factor of j and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 7*m**2 - 7*m - 13. Let b = 12 + 12. Let s be (18\/8)\/(9\/b). Let f(g) = 0*g - 3*g**2 + g + s + 2*g. Calculate 9*f(r) + 4*t(r).\nAnswer: r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -12\/7 and 36\/91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 + 73495249.\nAnswer: 73495248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18710094, 18710081, 18710052, 18710001, 18709922, 18709809, 18709656?\nAnswer: 18709457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (6 - 9) - (-3 - -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 28*c - 23*c - 150. Let o = c - 47. Let n = o - -27. Calculate the greatest common factor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 2*g**3 - 97*g**2 - 243*g - 806. Determine f(51).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -182, 4, -19.\nAnswer: -182, -19, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 15357404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*z + 10*z = -327825. Let k = -5058 + z. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -263 = 21*h - 11. Let n(b) = -b**3 - 12*b**2 - 7. Let z be n(h). Let r(a) = -2*a**3 + 6*a**2 + 0*a**2 - 6*a + 3*a**3 + 6. Give r(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4307571 is divided by 178?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.9225 to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffmjjymyfijivmffiifm. What is prob of sequence jvjy?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (1*2*sqrt(504))\/(sqrt(8) - ((sqrt(512)*1 - sqrt(512)) + sqrt(512)) - sqrt(8)).\nAnswer: -2 - 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 + -5. Solve -3*u - n - 1 = 0, d = n - 4*n - 12 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-3)*(-98)\/49?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y - 35 + 8. What is the smallest common multiple of y and 6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 7, s: 5}. Give prob of sequence sffs.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 28463462 divided by 2\nAnswer: 14231731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 6) + (-682)\/(-124)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8165249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**3 - v**2 - v + 1. Let y be t(3). Suppose -2 = -3*r + y. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17118735, 34237473, 51356211, 68474949, 85593687, 102712425?\nAnswer: 119831163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*s - 72*s - 40*s + 103986659 - 103986659.\nAnswer: -85*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 9801107 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 11 - (32\/16)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:50 AM and 10:33 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*n - 385 - 2*n + 385.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 83101591 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 259487019 to the nearest integer?\nAnswer: 16109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6852, -12755, -18658, -24561, -30464, -36367?\nAnswer: -42270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -455*m - 387*m = -210*m - 6539 - 46549 for m.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (209*v - 112*v + 7 + 249*v)*(-v + 3*v - 3*v + 2).\nAnswer: -346*v**2 + 685*v + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 336 + 5420.477.\nAnswer: 5756.477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -2*x**2 + 12*x + 58. What is t(8)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 144*a - 32. Let p(x) = -x**3 + 6*x**2 - 11*x + 69. Let k be p(6). Let t(z) = 13*z - 3. Determine k*h(r) - 32*t(r).\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + 0 + -2 - (46 + 55 + -129)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -20 + 34. Let b = 268 + -170. Calculate the highest common factor of b and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o + 4*g, 4*o - 2*g = g. Which is the nearest to -1?  (a) 0.1  (b) o  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -32993, -131958, -296891, -527792, -824661, -1187498, -1616303?\nAnswer: -2111076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 344.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11809\/5 + 2354. Suppose -64*b = -62*b - 10. Suppose 0 = -3*g + 15, b*f - g = 2*f - 29. Which is greater: o or f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -80, -30, 20, 70?\n\"Answer: 50*i - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37132*l**2 + 443*l - 256*l + 37137*l**2 - 187*l.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 9) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8804177ml in litres?\nAnswer: 0.0008804177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 73642 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the first derivative of -a**4\/2 + 17*a**3\/3 - 5*a**2\/2 + 61. Let r(q) = q**3 - 8*q**2 + 2*q. What is -13*r(y) - 6*z(y)?\nAnswer: -y**3 + 2*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((6 - 4 + 0)*(4*x**2 - x**4 - 4*x**2) - 4*x**4 + 2*x - 2*x - 2*x**2 + 2*x**2 - 2*x**4)*(-1 + 1 + 1).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:45 PM and 10:24 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 360, 66, -4, 2.\nAnswer: -4, -1, 2, 66, 360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.3  (b) -2  (c) 5  (d) 7\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -4  (b) 0  (c) -25  (d) -193  (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 18\/473 and 23\/731.\nAnswer: 8041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -37.16477862 to 2 dps.\nAnswer: -37.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 239 + -1 - (8 + -2). Let i = u + -1621\/7. Sort -0.09, 0, i, 2 in increasing order.\nAnswer: -0.09, 0, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1141 (base 10) to base 12.\nAnswer: 7b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-11 + 3 + 1)*1. Let t be ((-126)\/4)\/(1\/(-2)). Let o be 1\/r + 324\/t. Solve -2*w + o*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1602\/15219)\/(16\/13528)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4777 and 2810.\nAnswer: 47770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c - k = -1616 + 1613, 14*c - k = 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:58 AM and 4:17 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 + (-35 - -21) - -43 - (14 + -2)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/3889 and -101\/8830?\nAnswer: 34339870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1 and -930.619?\nAnswer: 930.619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -40*m - 3189. Give j(-79).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 24*q**3 - 5*q**2 + 5*q + 5. Let v = 1603 - 1609. Let g(k) = -24*k**3 + 6*k**2 - 6*k - 6. Determine v*a(p) - 5*g(p).\nAnswer: -24*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 692.627 tonnes to kilograms.\nAnswer: 692627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 656456 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 3*n + 105 = 0, -2*d + 25 = 5*n - 60. Let o(y) = y**2 - 7*y - 2. Let g be o(6). Let s = 18 + g. Calculate the greatest common factor of s and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*u**2 + 20*u**2 - 30*u**2 - 39*u**4 + 10 - 11 + u in the form w*u**4 + b*u + h*u**3 + f + l*u**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 276064 divided by -34508\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1796197 and 5798?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the first derivative of u**2\/2 + 12. Give i(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z - 1. Let x(w) = -4*w + 3. Let a(s) = -11*v(s) - 4*x(s). Let r(c) = -6*c + 1. Calculate 5*a(l) + 4*r(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 5*d + 2 + d**2 + 0*d**2 + 0. Let i be u(-5). Let q be 1\/(-1) - (-5 - -4). Is q at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -51, -0.5, -2, 1, 269?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -446 + 458. Suppose w*a - 11158 = -1906. List the prime factors of a.\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d*d*d\/(((d\/d**(1\/13)*d)\/d*d)\/d)*d*d*d))\/(((d*d**(-2))\/d)\/d))\/(((d*d**11)\/d)\/d*d)**(2\/39) assuming d is positive.\nAnswer: d**(-64\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 66334113 to the power of 1\/2, to the nearest integer?\nAnswer: 8145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -10*j**2 - 6*j + 12. Let h be u(3). Let t = 26065\/8 + -3249. What is the common denominator of t and 1\/(-3)*1116\/h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f**3 + 4*f**2 - 4*f**2 + f**3 - 3*f**3 + f**3 + (4*f**2 - 5*f**2 - f**2)*(-3*f + 2*f + 3*f) - 4*f**3 - f**3 + 3*f**3)*(-3 + 7 - 2).\nAnswer: -18*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2030*v**4 - 39595*v**3 - 116920*v**2 - 49295*v - 240 = 0 for v.\nAnswer: -16, -3, -1\/2, -1\/203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 27 divided by -827734\nAnswer: -27\/827734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {x: 2, n: 3, s: 1, q: 4, e: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -2, 1.0814, 4246 in ascending order.\nAnswer: -4, -2, 1.0814, 4246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -1, 3, -4, 5445, 4, 0 in increasing order.\nAnswer: -6, -4, -1, 0, 3, 4, 5445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*z**2 + 3 - 24*z**2 + 4 - 7.\nAnswer: -34*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -10*q**3 + 487*q**2 - 636*q - 7670. What is z(47)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -4*o + 8. Let r be x(3). Sort 7, 6, r, 1.\nAnswer: r, 1, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 71  (b) 0.1  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1597074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/3*z**2 + 499\/3*z - 166.\nAnswer: -(z - 498)*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -18700 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/10 of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1212164.337 less than 0.11?\nAnswer: -1212164.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -2*p**2 + 6*p - 4. Let c(g) = -g**2 - 13*g + 18. Let y be c(-14). Calculate j(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 18 and -0.055?\nAnswer: -0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 2, 4, 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2250*g**2*t**3 - 430*g**2*t**2 - 4*g**2 - 13*g*t**2 + 19*t**6 wrt t.\nAnswer: -13500*g**2 + 2280*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00158886 to five dps.\nAnswer: -0.00159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1845*m**3 + 1107*m - 1107*m + 37*m**2 wrt m.\nAnswer: 11070","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 137d1b - 4?\nAnswer: 137d17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 34540700 to the power of 1\/2, to the nearest integer?\nAnswer: 5877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*x**2 + 3*x**2 - 5*x**2 + (x + x + 3*x)*(3 - 4*x - 3) + (x + 3*x - 3*x)*(-x + 0*x - x).\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-45)\/(-42))\/((-252)\/294)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xrr when three letters picked without replacement from xnnnrnxnrxxrrrrrr.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4442, 13192, 30016, 58952, 104038, 169312, 258812?\nAnswer: 376576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 72 and 1908?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -45 (base 8) to base 14\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/3, 3870, -0.1, 0.2 in descending order.\nAnswer: 3870, 2\/3, 0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8157655202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 6, 8, 4, -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 42946 and 6304.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 825601397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.1973 - -196.8027. Is x smaller than -0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:15 PM and 8:30 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/((-32)\/3)*200\/30?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*y = -16*y + 152 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/21 in 1\/3, 5\/6, 8, -6\/7, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**3 + 8*v**2 - 19*v + 9. Let o be l(-10). Let h be -1*((-6)\/(-18))\/(o\/(-12)). What is the common denominator of 131\/30 and (h\/8)\/((-108)\/488)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4992 divided by -1248.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 30594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5152 by -32.\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -922 + 33*h + 771 + 151 - 31*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.02 * 3.2099\nAnswer: 0.064198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = 20*s - 16*s. Is 4 a factor of (12 + 0)\/((-15)\/s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 3, d: 8}. Give prob of picking 1 e and 3 d.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 - -7 - (3 - 10) - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 18495 - 15505. Calculate the lowest common multiple of 110 and l.\nAnswer: 32890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 144 = -v + 5*v. Suppose s - 15 = -2*d + v, 0 = 5*s - 2*d - 207. List the prime factors of s.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j. Let w(i) = -i - 2. Let m(n) = -n**2 + 8*n + 3. Let k(a) = m(a) + 3*w(a). What is -k(l) + 6*z(l)?\nAnswer: l**2 + l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {i: 1, d: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 2 n, and 1 c when four letters picked without replacement from gkunc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -7 less than -1\/172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18\/11, 0, 5\/2, 0.3, -0.02 in decreasing order.\nAnswer: 5\/2, 18\/11, 0.3, 0, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.535 + 0.035. Let y(c) = c**2 - 7*c + 6. Let o be y(6). Let i = -2\/5 + o. What is the closest to 0.04 in 3, f, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 439628 is divided by 204?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -54*i**5 + 36126*i**4 + 72396*i**3 + 48292*i**2 + 13418*i + 1342 = 0.\nAnswer: -1, -1\/3, 671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5888 divided by -368.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1126, 1149, 1172?\n\"Answer: 23*d + 1103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 2 + 19 = 4*z, 3*z - 22 = -2*v. Suppose v*j + 6 = -b + 15, -4*j - 46 = -3*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -199, 1, 2 in descending order.\nAnswer: 2, 1, -5, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 1 - 9 + 9*b - 2 + 16*b.\nAnswer: 25*b - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 540991 or 0?\nAnswer: 540991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/1995504 and 151\/192.\nAnswer: 7982016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 30 = -w. What are the prime factors of -3 - (-4 - -3) - w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.234 in 4, -5\/4, 5, 1?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**2 - 22*i - 18. Let f be h(-21). Let g(y) be the second derivative of -4\/9*y**f - 2*y - 4\/3*y**2 - 1\/18*y**4 + 0. Factor g(z).\nAnswer: -2*(z + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 6*c - 4. Let n(z) = -5 + 64*z + 17 - 5 - 76*z. Determine -6*n(y) - 11*v(y).\nAnswer: 6*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(55))\/sqrt(5)*-2 + -2)**2 + ((1 + sqrt(891))*5 - -3*2*sqrt(891))**2.\nAnswer: 974*sqrt(11) + 108016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -7*n**2 + 5*n + 6*n**2 - n. Suppose 0 = -2*z + z - 9. Let m(y) = y**3 + 9*y**2 + 2. Let v be m(z). Give d(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -20.92 + 5.06. Let r = 2.96 + s. Round r to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*u + 32 = -27*u. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = -2*d - 5, -5*d - 11*f + 6*f = 5. Solve -2*k + 4 = 0, d = -t - 0*t - 2*k + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that 8*t**5 - 252*t**4 + 721*t**3\/2 - 12*t**2 - 179*t\/2 - 15 = 0.\nAnswer: -1\/4, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 50241193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 116798 to the power of 1\/2, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -104 + 53 + 15*j**2 + 54 as v*j + m*j**2 + d and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2669, -5331, -7993, -10655, -13317?\nAnswer: -15979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -31*g**3 - 13*g**2 - 33*g - 53. Calculate i(-2).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -39891252  (b) 3  (c) -0.4  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 18 + -5*(-18770)\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j + 2. Let c be s(-3). Suppose 2*i = c*g - 2*i - 8, -5*i = -15. Suppose g*w = 5*w - 2. Do 0 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 1)*(-2*z + 2*z - 3*z**2) + (z + 0*z + z)*(3*z - 3*z - z) + 3*z**2 + 2*z**2 - 7*z**2 + z**2 - 1 + 1 - z**2 + 0*z**2 + 3*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*t**3 - 4*t**3 + 0*t**3 + (2 + 2 - 7)*(0*t**3 + 2*t**3 - t**3) - 60*t**3 + 139*t**3 - 13*t**3 as r*t**2 + m*t**3 + c + w*t and give m.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3332 is divided by 957?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 362, -7, -13 in descending order.\nAnswer: 362, 4, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -45*u + 65. Let x(q) = 11*q - 16. Let h(t) = 6*p(t) + 25*x(t). List the prime factors of h(11).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -8 + 3. Which is the smallest value?  (a) z  (b) -9  (c) 0.4  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 14991*q**2 + q - 14787*q**2 + 6 - 1 in the form d*q**2 + x + s*q and give d.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 1 - 4 = 0. Suppose h*b - 2 = 1. Which is bigger: 2\/25 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jkkkjjjjkk.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 61314*v - 122661*v + 4 + 61322*v.\nAnswer: -25*v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -190c343 (base 13) in base 2?\nAnswer: -11111010000110100101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-93228)\/225301*(-377)\/(-2).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nqp when three letters picked without replacement from {n: 1, q: 2, g: 2, p: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -4*r - 24. Let w be i(-6). Let n(y) be the first derivative of 3 + 5\/3*y**3 + 0*y**2 + w*y. Let c(m) = m. Give c(n(b)).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 51970 and 8?\nAnswer: 207880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*((sqrt(38)\/sqrt(2) - sqrt(19)) + 1) - (-2 + -6*((sqrt(95)\/sqrt(5) - sqrt(19)) + sqrt(19))))**2.\nAnswer: 48*sqrt(19) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27061 is divided by 127?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 99 = -m + 10*m. Suppose -5*t - 1440 = -m*t. Suppose t = 3*a - 3*y, -3*a - 4*y + 234 = 8. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -178358*v**3 + 6642*v**2 wrt v?\nAnswer: -1070148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -10\/63 and -10\/63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:03 PM and 11:07 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 38*y**2 + 54*y + 111. Let u be l(-2). What is the greatest common factor of 45 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 21454907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = k**2 + 7*k. Let z be w(-5). Let h = z - -14. Suppose -h*n = -27 - 29. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13, 36, 73, 124, 189, 268?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c\/(c*c**(-6\/13))))\/(c*(c*c**(-2\/9))\/c)*(c\/(c\/c**(-21)*c))**(-2\/67) assuming c is positive.\nAnswer: c**(3272\/7839)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**3 + 9*b**2 - 37*b + 3. Give f(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 13129, 13152, 13219, 13354, 13581, 13924?\n\"Answer: 4*g**3 - 2*g**2 + g + 13126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -139, -2, 571, -3, 1, 2 in descending order.\nAnswer: 571, 2, 1, -2, -3, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 4*c**2 - 21*c - 63. Suppose 3*w + 4*m + 49 = 0, 9*m = -2*w + 7*m - 32. List the prime factors of u(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 709 minutes before 3:53 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1458*a**2 + 3166 wrt a.\nAnswer: 2916*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-188)\/16 + 12)\/((-6)\/16)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes after 1:28 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -222 - -344. Differentiate 134 + k*d + 73 + 10 - 57 wrt d.\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the third derivative of -v**9\/168 + 7*v**5\/60 - 13*v**2. Find the third derivative of c(n) wrt n.\nAnswer: -360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, b: 12, u: 4, x: 2}. Give prob of sequence xz.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.05  (b) 10  (c) -4  (d) 0.2  (e) 237717\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is c in 4*c**4 + 4852*c**3 - 3166368*c**2 + 25097024*c - 50037760 = 0?\nAnswer: -1685, 4, 464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 17 - 17. Suppose 6*b - 2*b = k. Solve b = -2*q - p, -p - 2*p - 6 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2.58, -632, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + ((sqrt(396) + sqrt(396)*-1)*5 - (3 + sqrt(396)*2)))*1.\nAnswer: -12*sqrt(11) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -4*f**2. Let r be 1 + -2 + 1 + -1. Let p be s(r). Let w = 5 - p. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -41131 + 22235?\nAnswer: -14452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2157*m - 1685 = 6943 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1833 at most 1790?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + 132\/18 + 11\/12.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of ((-12)\/(-21))\/(4\/266) and 6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 105286 divided by -6619\nAnswer: -105286\/6619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -43009*v**6 - 391*v**2 + 43128*v**6 - 1449*v**2 wrt v.\nAnswer: 14280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 85197205\/504 - 169042. Calculate the common denominator of g and -103\/504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 21517 + -21459. Suppose -2*s - 61 = -a, 3*a - 2*a + s = 61. Solve d - k = -a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2529040 + -1783223. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -908*g**2 - 128050*g - 3102 = 0?\nAnswer: -141, -11\/454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/2*0 + 3. Suppose -27 = -5*h + 18. Let a(t) = -2*t + 25. Let l be a(h). Solve -5*q - i = l for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (140 - 49 - 5)*((-1 + 2 + 0)*(11*v - 7*v + 9*v) - 1 + 0 + 3 - v) as g*v + p and give g.\nAnswer: 1032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3064861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(847) + 0 + sqrt(847))*2 + -1 + sqrt(847) + -1 + (2*sqrt(847) + 5)*-1)*4 + 3)**2.\nAnswer: -6600*sqrt(7) + 122593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**3 + 2*y**2 + y - 2. Let g be d(2). Let o(q) = q**2 + q + 37. Let w = -174 - -194. Calculate the remainder when o(g) is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2804525493.\nAnswer: 3, 7, 11, 23, 137, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -39 - (-135 - -107 - 65)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**3 - 7*u**2 + 12*u - 9. What is the least common multiple of v(6) and ((-131)\/(-35) + (-38)\/266)*15?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 583 - 258. Let c = w + -326. Which is smaller: c or 6.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -284, -2507, -8538, -20279, -39632, -68499, -108782, -162383?\n\"Answer: -317*r**3 - 2*r**2 + 2*r + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 10 = 0, -3*i = 2*i + 2*g + 21. Let w(z) = 2*z**2 + 5*z + 1. Does 14 divide w(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 5*a**2 + 5*a**3 + a**2 + 7 + a**2. Suppose 0 = 6*d + 14 - 56. Let c(w) = -3*w**3 - 4*w**2 - 4. What is d*c(m) + 4*i(m)?\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (3 - 2 - 6) - -6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.736553 + -233.\nAnswer: -232.263447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in thirty-seven halves of a year?\nAnswer: 222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m + 12 = -0*m + 3*v, -5*m = 2*v - 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 26348\/237213 - -1\/26357. Solve -1\/3*k**2 + b*k**3 + 0 + 2\/9*k = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2829015 + ((-16)\/(-2) - 4). Let i = 33905797\/12 - f. Let x = i - -3542. Calculate the common denominator of -5\/18 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2190 divided by -4\nAnswer: -1095\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 0.4  (b) -1  (c) -1\/7  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 51929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1  (b) 35  (c) 1\/2  (d) 0.3  (e) 1  (f) -0.2  (g) -260\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 49*c**2 + 12*c + 6. Calculate the least common multiple of o(3) and 414.\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) 1\/24  (c) 0  (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -2*b + 12, 11*a = 8*a + 2*b + 8. Solve 2 = a*c - 10 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 196, 28088, 2\/9 in increasing order.\nAnswer: 2\/9, 196, 28088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 27343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (9 - 12) + (2 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 * 22506841.\nAnswer: -2250684.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -302 - -302. Let u = -1775 - -1764. Which is the nearest to 2?  (a) -4  (b) q  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + 0 = 3*h + 3, 3*j + 4*h + 4 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.36022 litres in millilitres?\nAnswer: 2360.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 23331 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: In base 5, what is -13 + -14240?\nAnswer: -14303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 + 1039*y + 3*y**4 - 1040*y - 4*y**3 - 4*y**4 - y**4 in the form r*y**3 + c + t*y + g*y**4 + l*y**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -4*h**2 - 34*h + 209. Calculate t(-15).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = -4*i + 5*i - 136, 0 = -i - 5*t + 176. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/31 in 4, 47.2, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 4\/3, 0.092, 4?\nAnswer: 0.092","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 146636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -6*f**2 - 5949*f - 187006. What is r(-959)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6800\/102)\/50*2\/(-16).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 187.999974 - 188. What is q rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5 + -920.\nAnswer: -919.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9.9 - 1.9. Suppose -4*h = 8, 14 = 2*d - 2*h - 12. Let l be 45\/(-2 + d) + 1\/(-1). Sort 1\/6, y, -1\/8, l.\nAnswer: -1\/8, 1\/6, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 78 divided by 80182.\nAnswer: 39\/40091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -14\/442329 and 32\/237?\nAnswer: 34943991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/350364 and -167\/168.\nAnswer: 700728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2803 - -1760. Let s = i + 1043.2074. What is s rounded to 2 dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 24 = -15. Let j(o) be the second derivative of o**3\/6 + o**2 - o. Let h(r) = -2*r - 3. What is p*h(l) + 4*j(l)?\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the third derivative of -o**5\/60 + 5*o**4\/24 - o**3\/2 - o**2. Let c be 3*(8\/6)\/1. Suppose -c*l + 15 + 6 = -w, -10 = -5*l - 2*w. What is b(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i and 1 b when three letters picked without replacement from ibbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -65567335 + 65567335 + 13*s**2 - 10*s + 12*s**2.\nAnswer: 25*s**2 - 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 801 by 3.\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 2 - 2*a + 4 + a + 2*a. Let b be t(-5). Let x = 0.096 - -0.404. Put 0.4, b, x in ascending order.\nAnswer: 0.4, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 3*x + 4*w - 14, 8 = x + 3*w for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.0623 - -0.2623. What is the third biggest value in -1\/2, n, 7\/4, -0.3, 1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*b - 74 = -4*w + 47*b, 2*w = 3*b + 49 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 43390, 43406, 43422, 43438, 43454, 43470?\nAnswer: 43486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the second derivative of 15*b**5 + b**4\/6 - 387*b**2 + 789*b. Differentiate f(d) wrt d.\nAnswer: 900*d**2 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2384 - 2437 + 6671 - 2*b - 2194 as s + p*b and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 81 - 68. Suppose 3 - 42 = -z*g. Solve 3*x = -y + 11, -2 = -g*x - 2*y + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*w + 68 = -4*w + 10 + 26, -m - 4*w = 32 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Do 411 and 142479\/346 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the third derivative of s**5\/150 + s**4\/60 - 2*s**3\/15 - 3*s**2. Factor u(k).\nAnswer: 2*(k - 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-84)\/135)\/(302\/755)?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (5\/(-5))\/(-1*2\/8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -1269*h - 1234*h + 0 + 0 + 51*h + (-2 - 1 + 10)*(-4*h - 3*h + 5*h) in the form a*h + u and give a.\nAnswer: -2466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -17877214 - -17877181.9999956. Let w = -75 + 107. Let c = w + r. What is c rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*f + 40*f = 0. Suppose f = -9*i + 48 - 39. Is 2\/159 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3160305 - 2?\nAnswer: -3160310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let -720*m**5\/7 - 23041*m**4\/7 - 25952*m**3\/7 + 74052*m**2 + 720*m\/7 = 0. What is m?\nAnswer: -30, -6, -1\/720, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 24.89 + -25. Let b = p - -3.11. Let o = 0.02 + -2.02. Sort 1\/8, o, b in increasing order.\nAnswer: o, 1\/8, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/(-4)*(0 - 0). Let c = 4 + f. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppppppp. What is prob of sequence pppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -3833, -3834, -3835, -3836?\n\"Answer: -w - 3832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - u - 4)*(0 - 3 + 13).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1642*t - 1939*t + 304385 for t.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g - 65 = 2*g. Suppose -2*o = -4 - 18. Calculate the least common multiple of g and o.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2072 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10168*d*n**6 - d*n**3 - d*n**2 + d*n - 23463*n wrt n?\nAnswer: 1220160*d*n**3 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -304 - -447. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -96 + 5*m**2 + 214 - 118.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*w**2 + 23*w**2 - 36*w**3 - 38*w**2.\nAnswer: -36*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -43 + 46 - v - 2*v**2 - 2*v to the form i*v**2 + l + f*v and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2120 a factor of 47023720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 341860 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*k + 257 = -121. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -5*z**2 - 8*z + 16. Let w(v) = 9*v**2 + 16*v - 32. Let j(p) = -7*k(p) - 4*w(p). Let m be j(-10). Let b(n) = n**3 + 4*n**2 + n + 1. What is b(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1096?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4226*b**3 - 5205 with respect to b.\nAnswer: 12678*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 176026533?\nAnswer: 3, 373, 157307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 448312129 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -3*s + 195, -4*s + 206 + 54 = 3*u. What are the prime factors of s?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -172574*i**2*w**3 - 406269*i*w**3 - 4*w**3 wrt i.\nAnswer: -345148*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a**3 - a**2 + a - 1. Let o be m(-4). Suppose -4 = 4*n, 3*c - 4*n = -o + 110. Let b = 9 - -31. What is the remainder when b is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*m + 85 = 13*m - 19 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 73684\/(-4056) + (2 - 11\/6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*o - 3*o - 264. Is o a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16218021371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 351002*p**2 - 2*p. Let j be g(1). What is j rounded to the nearest ten thousand?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -25*h + 30*h - 4*k, 829*k = 824*k + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -925  (b) 2\/7  (c) 28391\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*4*sqrt(7)*1 + -4.\nAnswer: -4 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1*(2 + 1 + 0). Suppose -5*s + 16 = -89. What is the greatest common factor of g and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 13*r**6 - 6*r**2 - 4*r**2 + 31*r**6 + 3*r**2 wrt r?\nAnswer: 5280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56*g + 65*g + 26 - 67 + 41 + g**3.\nAnswer: g**3 + 121*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -777601 + 2?\nAnswer: -777599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 149 is divided by 65?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41 - (11 - (-40 - -17)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 64990 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 - 14 = -h. Let d be (-60)\/(-25) + 3\/5. Suppose -d - 12 = 3*u. Put -2, 4, u, h in decreasing order.\nAnswer: 4, -2, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -83494181*j + 128279157?\nAnswer: -83494181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(44)\/sqrt(36) + -2.\nAnswer: -2 + sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (7\/(-56) + 177\/72 + -2)\/(-7)\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 193917892.\nAnswer: 2, 7, 989377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) 1.3  (c) -93  (d) -0.2  (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2877 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5\/8 in -1\/3, 5.3, 1, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/5)\/(6\/(-5))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q + 6 = -30. Let n be 2\/3*q\/(-4). Let d be ((-5)\/(-15))\/((-8)\/(-6)). Which is the closest to n?  (a) -5  (b) d  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -222 + 220.01. Let l = 0.01 - i. Let a = 4\/4125 + -12407\/33000. What is the nearest to -0.1 in l, a, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 877123126 to the nearest integer?\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 24*q**3 - 14*q**2 + 10*q - 40. Let z(l) = -5*l**3 + 3*l**2 - 2*l + 8. What is 3*x(w) + 14*z(w)?\nAnswer: 2*w**3 + 2*w - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 2 e when three letters picked without replacement from mmmecmzcpceppen?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -42 - -61. Let v = u + -37. Let f = v - -18.00065. What is f rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -390*o**2 - 78*o**3 - 2*o + 390*o**2.\nAnswer: -78*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1431  (b) -5  (c) -0.19226\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t + 4*a - 18, -6*t - 34 = -9*t - 2*a. Suppose -t*q - 32 = -14*q. Solve 0 = -q*v + 6 + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/7 in 4\/21, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 5*j**3 + j**2. Let w = 7 + -6. What is s(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r**3 - r**2 - 3*r - 2. Suppose 2*o = -p - 2, 3 = -3*p - o - 3. Let y be b(p). Is 8 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 23 + -18. Solve r - 12 = d*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 28\/10 + (-20)\/(-100). Put v, -6, 5, 13 in ascending order.\nAnswer: -6, v, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 247 is divided by (-4 + 7 - -15) + 14 + -19?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 42*s**2 - 5*s - 1. Let w(j) = 4*j + 17. Let t be w(-5). What are the prime factors of p(t)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -160 - -178. What is the greatest common factor of p and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -8 + 2 + 26*q + 5. Calculate u(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yggy when four letters picked without replacement from gggggygyggygggg?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 269500 is divided by 1925?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 5.4 times -178\nAnswer: -961.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.65?  (a) 49.2  (b) 11  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(315) + sqrt(35) + sqrt(70)\/sqrt(2)*3)\/(sqrt(605) + 4*(sqrt(605) + sqrt(605) + -1*sqrt(605)) + sqrt(605)).\nAnswer: -sqrt(7)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -g + 8*g + 11*g to i*g + u and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27068.66489 - -102841.\nAnswer: 129909.66489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*h**4 - 5*h + 5*h + (40*h**2 + 29*h**2 - 15*h**2)*(-3 - 1 + 2)*(4*h**2 - h**2 - h**2) to w*h + u*h**3 + t + a*h**2 + l*h**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 189*p**3 - 1925*p**3 + 594*p**3 + 584*p**3 + 579*p**3.\nAnswer: 21*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 720\/54 + 140\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/2)\/(((-143)\/(-13))\/(-44))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11 + 14. Let p = -10\/3 - -7\/2. Put k, -1, p in decreasing order.\nAnswer: k, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.42 and 0.5.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 11 = 3*c, -2*c - 3*c - 13 = 3*n. Let o(b) = -3*b**3 + 3*b**2 + 4*b + 2. Let h be o(n). Factor -x**3 - 15*x**h - 9*x**3 + 0*x**3 + 5*x**2.\nAnswer: -5*x**2*(x + 1)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*y + t + 18, -5*y + 28 = -11*y - 2*t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 227.2 + -199.2. Let j = 8.5 - 37. Let t = o + j. Which is the biggest value?  (a) 7  (b) t  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1250*v + 5 - 414*v - 416*v + 4 - 413*v.\nAnswer: 7*v + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1375 and 278275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -93 + (-58 - -138) + -8 + 3\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -36021 + 78250. List the prime factors of t.\nAnswer: 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 485*-0.12\nAnswer: -58.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-1\/3))**(1\/31)*(o**(2\/7))**(-42))\/(((o\/o**(-2\/3))\/o)\/(o**(-2\/35)*o*o)*(o\/((o**(-2\/15)*o)\/o))\/o**(2\/7)) assuming o is positive.\nAnswer: o**(-7540\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((u*u**(1\/5))\/(u**9\/u))**(28\/5))**(-4\/17))**(-8\/3) assuming u is positive.\nAnswer: u**(-1792\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/95 and 61\/190.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (((-2*sqrt(147) - sqrt(147))\/sqrt(7))\/(5*sqrt(21)\/sqrt(7) - sqrt(3) - sqrt(3) - sqrt(3)))**2.\nAnswer: 55\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oooigggoui. Give prob of picking 1 i and 2 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l + 2 - 3 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 14 + -14.2. Suppose 5*t - 6*t = -2*m - 6, -5*m = 3*t - 7. Suppose -3*l + 28 = -t*b - 6*l, -3*b - 4 = -2*l. What is the biggest value in b, 2\/5, n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -u + 2. Let z(k) = -4*k + 5*k - 2*k**2 - u + 9*k**2. What is the units digit of z(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 896 divided by 448.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 9}. Give prob of sequence uuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7243?\nAnswer: 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -y - 2*y**3 + y + (0 - 2 + 0)*(2*y**3 + 3*y**3 - 6*y**3) - 1 + 1 - y**3 to the form q + s*y**2 + t*y + b*y**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -304 + 1519\/5. Let v be (-4)\/(-14)*(0 + -1). Sort b, -3, v in descending order.\nAnswer: b, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -278.31 + 278.37. What is the closest to o in -2\/377, 4, -4\/7, -2\/21?\nAnswer: -2\/377","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 27998 + -27995. Suppose 0*o**2 - 1\/2 - 3\/4*o + 1\/4*o**u = 0. What is o?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4928 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/5, -2498, -5, -13.7, 1\/2 in ascending order.\nAnswer: -2498, -13.7, -5, -3\/5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/5 - (-19)\/(-10). Let v = 0.0537 + -66.0537. Let t = v + 70. Which is the nearest to -0.1?  (a) -4  (b) r  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 3996511, 3996482, 3996451, 3996418, 3996383, 3996346, 3996307?\n\"Answer: -k**2 - 26*k + 3996538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -6*z**3 + 0*z**2 - 9 + 22 - 13*z**2 - 13*z. Let m(q) = -q**3 - 2*q**2 - 2*q + 2. Give -6*g(l) + 39*m(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 3, t: 3, e: 7, s: 7}. Give prob of picking 2 e.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2\/6)\/(1\/63). Suppose 5*u + r = -o, -3*u + 4*u = -5*o - 33. Let y be (-16)\/o*6\/8. Sort y, 0, 3 in ascending order.\nAnswer: 0, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-39200)\/(-84))\/28)\/(2\/(-3))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + (-6 - (-14 - -3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1762 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 46*q**2 + 2*q - 1. Let l = -6 + 8. Suppose 3*j = 4*w + 22 - 7, 0 = -l*j + 4*w + 14. What is the remainder when a(j) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 12.441 to 0 decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 146 = -2*b - 2*t, 0 = -b + 3*t + 33. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 216\/5 + 6\/5*o**2 + 222\/5*o.\nAnswer: 6*(o + 1)*(o + 36)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 + -177 + 37 - -58?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -18*f. Let y(h) = 25*h. Let d(x) = 5*m(x) + 3*y(x). Let j be (1 - 1) + -1 + 3. Let n(i) = -2*i - 2*i + j*i. What is d(n(a))?\nAnswer: 30*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*w - 30170 = -30390 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-12)\/56)\/((-1)\/(-2)). Which is the closest to -1?  (a) -3\/2  (b) h  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7728 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -700 + 819. Put 2, 1, c in descending order.\nAnswer: c, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the first derivative of p**2 - 21. Let b(n) = -68*n. Give c(b(z)).\nAnswer: -136*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1249, -1060, -933, -868, -865, -924?\nAnswer: -1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 8, 33, -11, 5, 16, -5 in ascending order.\nAnswer: -11, -5, -2, 5, 8, 16, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -47503\/240 + 2381\/12. Calculate the common denominator of 1\/980 and l.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the third derivative of 0*x**6 + 0*x + 0*x**7 + 0*x**3 + 4\/15*x**5 + 0 + 31\/336*x**8 + 4*x**2 + 0*x**4. Find the third derivative of j(a) wrt a.\nAnswer: 1860*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.075 - 1. Let k = 0.475 - n. Which is the nearest to -3?  (a) k  (b) -1\/8  (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -325.617 - 132487.\nAnswer: -132812.617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -10751399.\nAnswer: 1\/10751399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -4*d + 202, 0 = -5*d + 4*f - f + 254. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 + 684 + (-41 - -46) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 5*k - 16, -3*m - 5*k - 56 = -0*m. Let n be (-3)\/m + 1\/(-4). Suppose -4*t + 4 = -n. Sort -4, 3, t in decreasing order.\nAnswer: 3, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -221*v**3 - 67. Let s(y) = 110*y**3 + 33. Let h(l) = -5*s(l) - 3*u(l). Differentiate h(i) wrt i.\nAnswer: 339*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2944.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1451948*r**2 - 1451947*r**2 + 240*r + 466*r)*(2*r**2 - 5*r**2 + 2*r**2).\nAnswer: -r**4 - 706*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 2*i**2 + 5043*i - 65886. Give f(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1\/451970 - -1208680772\/225985. Which is bigger: 5348 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/594 and -49\/16.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 - -7 - (-4 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/154 and ((-8)\/546)\/(-98 - -94 - (-146)\/36).\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3320 = -106*y + 51*y - 111*y for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is 11111000110100001 (base 2) in base 9?\nAnswer: 213667","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Factor s**3 - 7000*s**2 + 250628*s + 529264.\nAnswer: (s - 6964)*(s - 38)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8 and 400?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -5  (b) -3  (c) 4  (d) 3\/2  (e) 411\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 4*i**2 + i**2 + 0*i**2.\nAnswer: 5*i**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 90*l + 145 - 239*l + 147*l to the form y + g*l and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/6 - (-3080)\/42 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -214342.63 to the nearest 10000.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2 + 1)\/((-6)\/60). Suppose x - l = -2. Suppose 4*c + 0 = x. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/7  (b) 2  (c) 1\/2  (d) -1.07  (e) 5  (f) -3  (g) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhofhzffhfhfhohffhff. What is prob of sequence ffh?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes before 8:25 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -459*v - 343*v - 146*v + 947*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 141 and 1413.\nAnswer: 66411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6 + -22. Let s = b + 15. Is 289 + (1 + s - 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) -1\/8  (b) 0.2  (c) 11304  (d) -24  (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1930522 and 0.06033.\nAnswer: -1930521.93967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-4)\/(12\/51)*-2)\/2. Let i = p + -10. What is the smallest common multiple of i and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (2 - 13) - (15 - (48 + 21)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 17*p**3 + p**2 + 4*p + 6. Determine q(-2).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 112.7 - 76.55. Let t = q + -37. What is t rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -704*l**6*z**3 - 15*l**6*z - 2*l**2*z**2 + 11263*l*z**3 wrt l.\nAnswer: -84480*l**3*z**3 - 1800*l**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + 2*k + 149 = 0, 509*k - 514*k - 422 + 49 = 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -5147851 (base 9) in base 2?\nAnswer: -1010011110111110000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*p**3 - 197*p + 197*p + p**2.\nAnswer: -9*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 1610\/821?\nAnswer: 1610\/821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2272, 2226, 2080, 1774, 1248, 442?\nAnswer: -704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6c (base 14) in base 12?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*v**2 + 54*v**2 - 11*v**2 - 3*v**2 - 26*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-3 + (sqrt(99)*-5)\/sqrt(9)*-6 + ((-4*sqrt(2816) + sqrt(44))\/sqrt(4))**2)*-1.\nAnswer: -10570 - 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 675077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 8 + -12 - -11 - (-5 - -3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2010279 to the nearest integer?\nAnswer: 1418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:48 PM and 2:02 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in four thirds of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6 + -3 + 0 + -3. Solve -5*f + 3*k + 22 = w, -4*k + k + 3 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the first derivative of -2*b**3\/9 - 157*b**2\/3 + 316*b\/3 - 808. Solve n(p) = 0.\nAnswer: -158, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/4, -1, -7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 2*b - 115 = 2*b, 0 = -5*b + 25. Is i at most as big as 83\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 51109*t**3 - 11*t**2. Let w(h) = 10221*h**3 - 2*h**2. What is -2*p(r) + 11*w(r)?\nAnswer: 10213*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25\/3*f**3 + 1\/3*f**4 - 1068*f + 1080 - 62\/3*f**2 = 0.\nAnswer: -18, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16020162.\nAnswer: 2, 3, 83, 10723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -5*p + 5. Let t(q) be the first derivative of 3*q**2 - 6*q - 22. Determine -5*d(o) - 4*t(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 + (38 - 14) - (-2 + (7 - 1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -57351, -57151, -56951, -56751, -56551, -56351?\nAnswer: -56151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 4*t**3 + 28*t**2 - 282*t + 4. What are the prime factors of j(10)?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the first derivative of -c**7\/70 + c**5\/60 + 3*c**2\/2 + 1. Let v(q) be the second derivative of u(q). Find the third derivative of v(k) wrt k.\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16812, -16685, -16340, -15669, -14564, -12917?\nAnswer: -10620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 96 + -30. List the prime factors of z.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32051704 is divided by 12150.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/24)\/(1\/(-6))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 489.5, 6\/29, -0.2?\nAnswer: 489.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 49414 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00039672 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 o when two letters picked without replacement from {p: 3, n: 5, o: 6, a: 1, c: 1, q: 1}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 o when two letters picked without replacement from tco.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a + 5*i + 79, -10*a + 9*a = -i - 23. What is the smallest common multiple of 117 and a?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**4 - 182*z**3 + 534*z**2 - 530*z + 176.\nAnswer: 2*(z - 88)*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11699\/13 + -899. Suppose -301 = -384*m + 674 - 207. Factor 0 + 2\/13*j**3 - f*j - 2\/13*j**m.\nAnswer: 2*j*(j - 3)*(j + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -124 - -154.9. Let x = 31 - h. Let i = 0.02 - 2.02. Which is the closest to -2?  (a) i  (b) -2\/15  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/4*(-4)\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*2*sqrt(117) + -3*(-4*sqrt(117) + sqrt(117)))\/(-3*(sqrt(36)*1 + sqrt(81) + sqrt(81)*-2)).\nAnswer: 7*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -78156.707 - -78078. Let j = g + 0.207. Round j to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 637 and 3577?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*b + 37*b - 116*b + 38*b + 13*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -4*k**3 - 8452*k**2 - 8448*k = 0.\nAnswer: -2112, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3765 - -3770. Which is the nearest to y?  (a) 8  (b) 3\/8  (c) -0.01  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 393 + -173. Suppose j - 61 = 3*k. List the prime factors of k.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 437, 886, 1335, 1784, 2233, 2682?\n\"Answer: 449*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/63)\/((-13)\/(-7) - 0).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5576 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -4, -16\/33, 407, 7\/6, 5, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 552.9 - 507. Let o = t + -46. What is the fourth biggest value in 3, 4, o, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**3 - 6*j**2 + j - 408. Let v be p(10). Solve 0 = -56*f + 54*f + v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -217 - -328. Let l = y - 106. What is the biggest value in -2\/9, -9, 0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the first derivative of -7*a**4\/12 + a**3\/6 - a**2\/2 - 8. Let w(p) be the second derivative of f(p). Suppose 3 = -3*g - 0*g. What is w(g)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6, -7, -30, -63, -106, -159?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -170*x = -167*x. Let k = -35 + 8. Sort k, x, 4 in ascending order.\nAnswer: k, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ldl when three letters picked without replacement from dzpldddlzzdldpp.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1.700011388 and -2.78?\nAnswer: 4.480011388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i*(i**(-25)\/i)\/i*i))\/(i\/(i*i**(7\/8))) assuming i is positive.\nAnswer: i**(215\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.089176 litres to millilitres.\nAnswer: 89.176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8623 is divided by 261.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 500*k - 502*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 8) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5127 and -215?\nAnswer: -1102305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 134, 83, 24, -43, -118, -201?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 8 + 2 = 0. Suppose 0 = -3*r - d*r. Suppose -5*b + 115 = -4*t, t + r*t = -4*b + 92. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1463.\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 112015 is divided by 12441.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 47 and 10951.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -63*d**2 + 3*d**3 + 0*d**4 - d**3 - 4578*d + d**4 + 2 + 4576*d + 0*d**4 to the form a + m*d**2 + l*d**4 + u*d**3 + k*d and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -3765, -5352, -6941, -8532?\n\"Answer: -o**2 - 1584*o - 2180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 204 and 9435?\nAnswer: 37740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -2*y**3 - 18*y**2 - 13*y + 22. Let m(h) = h**3 + 8*h**2 + 6*h - 10. Let o(p) = 9*m(p) + 4*v(p). Let f(x) = x**3 + 3*x - 3. Calculate 2*f(j) - 3*o(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4126 - 2589. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3\/2)\/(3*(-75)\/(-15))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (26*r + 33*r - 58*r)*(2 - 9 - 7 - 3 + 5).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + m = 46, 44*u + 18 = 45*u - 2*m. What is the nearest to u in -3, 25, -0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -2*l**5 + 4274*l**4 - 2285516*l**3 + 2272704*l**2 + 4562496*l = 0.\nAnswer: -1, 0, 2, 1068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes after 11:49 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -2*o**3 + 5*o**2 + 21*o - 5. Calculate n(4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3320 and 913?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -516.73 + 511. Let x = 5.33 + i. Which is smaller: -0.26 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1463*p - 3 - 1797 = 1427*p. Solve -p*k = -38*k + 12 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 9\/6*170\/3. Let z = 134 - h. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.065*-7358.\nAnswer: -478.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -184 + 183.93. Let t be (8\/9)\/((-4)\/6). Sort l, t, -4 in descending order.\nAnswer: l, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = -4*j + 103, -3*j + 7*j - 4*u - 148 = 0. Let d = 27 - j. Let c(g) = -g**2 - 3*g + 10. Let h be c(d). Solve -2*r + 5*r - 9 = h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the first derivative of -7\/10*h**4 + 16\/5*h + 44\/15*h**3 + 108 - 23\/5*h**2. Factor s(d).\nAnswer: -2*(d - 1)**2*(7*d - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k - 3 - 5. Suppose -2*r + r - 2*v + 24 = 0, 4*r - 96 = -v. Suppose -i - 5*d - r = 0, -i + 5*d = k*i - 8. Put i, 0, -3 in descending order.\nAnswer: 0, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 16*b**5\/3 + 204*b**4 - 19016*b**3\/3 - 36304*b**2 + 19000*b\/3 + 36100 = 0.\nAnswer: -57, -5, -1, 1, 95\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**3 - 18*u**2 + 66*u - 11. Determine g(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -816 - -372. Let g = -220 - h. Does 28 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6186 (base 9) to base 16\nAnswer: -11b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 9\/(-120)*-5*8. Find the second derivative of -13*o + 22*o - 16*o - q*o**3 + o**3 wrt o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that r**3 - 9922*r**2 - 1613120*r = 0.\nAnswer: -160, 0, 10082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 12) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2739*n**3 - 2555*n**3 + 8307*n**3 - 2733*n**3.\nAnswer: 280*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -6*t**2. Let i be y(2). Let j = 30 + i. Suppose 13*d = 4*d + 54. Is d > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**3 - 14*j**2 - 22*j + 2. Let c be t(-12). Let d = -28 - c. What are the prime factors of d\/4*-188 - -5?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 3 r when four letters picked without replacement from rggjgrrrjjkr?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d + 6. Let y be l(0). Suppose -50 = -5*w + g, -g + 30 = 3*w - y*g. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -52 + 46. Let l be 4\/x - (-860)\/30. Calculate the highest common divisor of 112 and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1*(-1 - (1 - -6)). Suppose o + o = v. Suppose o*n = n + 36. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y - f + 91 = 25, -9*y + 6*y + 2*f = -50 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**3 - 3*d**2 + 2*d - 2. Let s be ((-1)\/(-3))\/(5\/135). Suppose 0 = -v - 3*m + 7, s = v + 5*m. Is 22 a factor of k(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 624?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x = -8*x - 22. Is -20 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(3) + sqrt(27)\/(1*sqrt(9)))*3)**2.\nAnswer: -60*sqrt(3) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2 + 3)*(20*y + 12*y - 12*y)*(-2*y**2 + 7*y**2 - 3*y**2)*(-2*y - 2*y + 6*y).\nAnswer: 80*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4135?\nAnswer: 5, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 0.918  (b) -60.29  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Is 598 a factor of 2032004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 2745616676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -3*v**4 + 30*v**2 - 27 = 0.\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that z**5\/3 + 2*z**4 - 7*z**3\/3 = 0.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**3 + 12*r + 0*r**2 + 29 - 2*r**3 + r**2 - 8*r**2. Let g be t(-8). What are the prime factors of g\/(-12)*(-88)\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that 5*q**3\/3 + 970*q**2 + 404185*q\/3 = 0.\nAnswer: -353, -229, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 335*b*g*q**2 - 7*b*g + 11169*b*q**2 with respect to g.\nAnswer: 335*b*q**2 - 7*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 48 - 43. Which is the biggest value?  (a) 4\/5  (b) s  (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 49 - 20*t + t - t - 38*t.\nAnswer: -58*t + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1230 != 1233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 2\/5*u - 2\/15*u**2.\nAnswer: -2*u*(u + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -89745 = -37*m - 7457. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2558*b - 1077*b - 1002*b.\nAnswer: 479*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 2*r - 33. Let i be a(19). Suppose 2*t - 4*g - 2 = -8, 0 = i*t + g - 29. Suppose t*m + 25 = 0, -2*m = 5*w - m - 510. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 830 and 180?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1419 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/5*-49*(-19)\/(-399)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -114, -94, -58, 0, 86, 206?\n\"Answer: x**3 + 2*x**2 + 7*x - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -46 - -45. Is -3\/5 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 3233, 6474, 9713, 12950?\n\"Answer: -m**2 + 3244*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/3455286 and 14\/639.\nAnswer: 10365858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -35501 (base 9) in base 3?\nAnswer: -1012120001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -122250*l - 978273. Calculate o(-8).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 2296, 4598, 6900, 9202?\n\"Answer: 2302*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -1, 2, 3, 16\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -6*r - 3. Let f be n(-5). Let a = 291 - 177. Let b = a + -60. Calculate the highest common divisor of f and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07 + 870?\nAnswer: 870.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g**2\/13 - 11236*g\/13 - 15780962\/13 = 0. Calculate g.\nAnswer: -2809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l - 2 = 0, l - 7 = -3*z + 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 88 + -89. Let o be ((-32)\/(-192))\/(w\/(-6)). Calculate the common denominator of 59\/7 and (o - 10\/6)\/((-6)\/90).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1758165 (base 9) to base 2.\nAnswer: -11110000001000001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13, -48, -83, -118, -153?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l = 2*i, -78*i - 759 = -188*i - 102*i + 852 - 339 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -9981, -8586, -6261, -3006?\n\"Answer: 465*a**2 - 10446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -859 + 859. Solve t = 69*v - 65*v + 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 33864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7?  (a) -0.2  (b) -0.3  (c) -5  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p**5\/7 + 1311*p**4\/7 - 60552*p**3\/7 - 193524*p**2\/7 - 5280*p\/7 + 36864 = 0.\nAnswer: -2, 1, 56, 384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*(136038\/252)\/79?\nAnswer: 82\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 104, 147, 202, 269, 348?\n\"Answer: 6*p**2 + 25*p + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 5*z = 1490790, -236788 - 61355 = -c - 4*z. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 + (-2)\/(-4)*-2. Let d = -11 - -16. Which is the closest to y?  (a) 3  (b) d  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 8 = b, 6*b - 10 = 2*b + 2*u. Suppose 4*m + 8 = b*n, -3*n + 17 = -0*m + 5*m. Solve -i + 3*o = -3, 5*i + 3*o - n*o + 13 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**2)**(-37))**(-6\/31)*(c*c**(1\/4))**(1\/9)*c**(-2)\/(c*c**(-1)*c) assuming c is positive.\nAnswer: c**(20783\/1116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4 or -1452\/305?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 185969445 and 10410.\nAnswer: 5205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 4*v**2 + 3*v. Let m(i) = 36*i**2 + 26*i. Let s(a) = -52*f(a) + 6*m(a). Let h(p) = 2*p**2. What is s(h(c))?\nAnswer: 32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 132 - -0.05036.\nAnswer: 132.05036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.017762 rounded to three decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39 + -37 - (-16)\/(-10).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18150661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 64999068 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*n**3 + 137*n**2 - 184*n + 33 = 0 for n.\nAnswer: -11, 3\/14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.06, 1\/2, -3.\nAnswer: -3, 0.06, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000170397297 rounded to 7 dps?\nAnswer: 0.0001704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 72550 - 34151. What are the prime factors of y?\nAnswer: 19, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c + 2*j + 13, 4*c - 2*j - 22 = -0*j. Let p(a) = 37*a + c*a**2 - 2 + 4 - 40*a. Let y be p(1). Solve 0 = h - y - 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 41.9 + -41.8. Let f = -35\/12 + 8\/3. What is the smallest value in -5, f, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1647, 1657, 1677, 1713, 1771, 1857?\nAnswer: 1977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3\/167 - -209\/2338. Put 4, 0.2, r in descending order.\nAnswer: 4, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes after 2:26 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 379747417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 373358 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ag when two letters picked without replacement from miiavgv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*y = -65*y - 130. Let s(x) = -x**3 - 11*x**2 - 11*x + 21. Let p be s(y). Which is smaller: p or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -982*g**2 + 5*g + 9*g - 14*g + 979*g**2 - 7*g + 7*g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -107*x = -117*x. Is x <= 2\/579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sssxfxxffxxyx. Give prob of sequence sx.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -26691930, -53383884, -80075838, -106767792?\n\"Answer: -26691954*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 467*f = 462*f + 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 7, m: 7, k: 5}. What is prob of sequence kkjm?\nAnswer: 245\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -98 + 98.7. Put -1\/6, -3, c in ascending order.\nAnswer: -3, -1\/6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8 - -7. Let f be g + (-4)\/(-5 + 1). Suppose f = w + 3*u + 2, 4*u + 0 = -2*w + 4. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 97*p + 331. Let a(x) = -x. Calculate a(f(r)).\nAnswer: -97*r - 331","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 110, 112, 114, 116?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 - -3532053045?\nAnswer: 3532053052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 603817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express w**2 + 10*w**2 - w**2 as q*w**2 + l*w + m and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 64 + 13 + (26 - (48 - 23)) + -9.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6818882 hours to milliseconds.\nAnswer: 2454797.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4, -25337, 4\/7, -1\/4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 139 = -5*p, 0*p = 5*p + 5. Let c be b\/(-270) - (-58)\/15. Suppose l - 4*m - 46 = c*l, -40 = 2*l + 5*m. What is l rounded to 0 decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10460.76 - 140.76. Let l = 10319.9999990901 - j. What is l rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**2 + 6*g - 4. Let z be q(-7). Solve -4*s + 8 = -4*w, -z*w - s = s - 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = 4*r + 24, -l + 27 = -4*r - r. Let v(p) = 9 - 12*p**l - 9. Let a(c) = -34997*c + 34997*c - c**2. Determine a(v(j)).\nAnswer: -144*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 - 4.3. Let i = -10.7 + k. Let z = -11.1 - i. Which is the third biggest value?  (a) 8  (b) z  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59*m - 9 + 29 = -63*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**3 + 8*v**2 - 6*v + 3. Let h(u) = u - 20. Let a be h(-10). Let q = -25 - a. Does 12 divide b(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6 - -7) + (4 - 1). Suppose 7 = -b*y + 15. Factor 2\/3*r**y + 2\/3*r - 2\/3 - 2\/3*r**3.\nAnswer: -2*(r - 1)**2*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -1, -5, 224, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**3 + 3*g**2 + 13*g - 16. Calculate w(6).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, -0.3, -8\/37, -2\/13, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from dgowiwyyiyyd?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10.5 in -0.2, 4, -278, -0.1, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16ca (base 14) to base 5.\nAnswer: 112343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1450c63 + -2?\nAnswer: -1450c65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 4*k**3 + 3*k**2 - k + 4. Let v be r(3). Suppose 4*u = -4*w + v, -6*w = -w + 2*u - 158. Suppose 5*o - w = -0. Solve -o = 4*y + 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -162.8 + 162.5746. Let w = 0.1465 + p. Let i = w + 0.072. What is i rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -63 - -67. Let z(o) = 69*o - o**3 + 1 + 0 + 3*o**2 - k*o**2 - 66*o. What is z(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - ((0 + -9 - -2) + (-105)\/(-42)).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 84 and 147364.\nAnswer: 442092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4.3507 or 1?\nAnswer: -4.3507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -72.97 + 73. What is the closest to p in 2, 1, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-16*(-72)\/(-512))\/((-3)\/(-8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1010 (base 2) to base 14.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 58 and 3538?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.95 - -0.95083. What is f rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -33 - -7?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + -5. Let o = 2 - -46. Let x = -43 + o. Put 4, x, u in descending order.\nAnswer: x, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (7 - (4 + -3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -e3 (base 15) to base 2.\nAnswer: -11010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a. Let r(f) = 9423*f - 3. Give w(r(n)).\nAnswer: 9423*n - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1602*p + 0 + 0 - 1615*p.\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 20 - 7 = -t, -3*t - 4*s = 13. Let v = t - -22. Solve -5*k + 10*k - v = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.24 * 4\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -150, -302, -454, -606, -758?\n\"Answer: -152*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 + -6. Suppose -d*x + 223 = q, -2*x - 3*x = -3*q - 585. Suppose 146 + x = z. What is z rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o - 2*b = -59 + 75, 5*b + 28 = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 67\/4 of a microgram in nanograms?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 5*c + 6. Let y(k) = -k - 1. Let s be (11 - 1)\/(-2)*102\/5. Let b = s + 104. Let q be (22\/(-4))\/((-1)\/2). Determine b*i(t) + q*y(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -514996, -1029992, -1544988, -2059984, -2574980?\nAnswer: -3089976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - (-2 - -1)) + (1 - -4) - (-150096 + 150165)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -8 - -387*-4*34\/(-8)?\nAnswer: 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**3 - 10*x**2 - 8*x - 9. Let k be f(11). Let v = k - 22. Sort v, -1, -6 in decreasing order.\nAnswer: v, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11 + 31*w + 2*w**4 + 9*w**2 - 21*w + 16*w**2 + 18*w wrt w?\nAnswer: 24*w**2 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -8*t**2 - 2*t + 5. Calculate q(3).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14017, 14014, 14011, 14008, 14005?\nAnswer: 14002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*f*k**3*n - f*k**3 - 61*f*k + 467*f*n - 9*k**3 wrt n?\nAnswer: 3*f*k**3 + 467*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 65.83974 nanograms?\nAnswer: 0.00000000006583974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 97 * 358\nAnswer: 34726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -c - 7, 5*c + 0 = 3*m - 11. Let x(a) = -a + 3. Let b be x(-7). Let d be ((-12)\/b)\/(4\/(-10)). Solve d = 5*w - 5*u - 7, 4*w = -2*u + m for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) 7  (b) 0.05  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lzlmzczzvmm. What is prob of sequence mz?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 2526*a**3 + 1968*a**2 - 3*a + 1. Let u(d) = 2526*d**3 + 1962*d**2 - 2*d. Let h(f) = 2*r(f) - 3*u(f). What is the third derivative of h(n) wrt n?\nAnswer: -15156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8 in -0.01, 1, 671?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**3 + 10*c**2 - 13*c - 27. Let g be m(-11). Let u = -5656 - -5655.1. What is the second biggest value in u, 3\/7, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 1 = -k, a + 4 = 5*k - 7. Let t = -6 - -12. Suppose o = 2*x - 7, -k*x + 28 = 4*o + t. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-25)\/25)\/(2\/(-6)). Let q = 0 - -4. Let g be q + (-2)\/3*x. Solve -2*v = g*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**3 - 7*s**2 + 2*s - 9. Let q be g(7). Suppose 0*j + 20 = q*j. Calculate the least common multiple of 4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 minutes before 10:05 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*i**2 + 12*i**2 - 7*i**2.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -6*h - 24. Let y be d(-7). Let r = y - 10. Is 130\/r*(6 - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 357*q - 318*q + 657*q.\nAnswer: 696*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**3 + 10*l**2 + 12*l + 1. Give v(-8).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 7 - 5. Let q be 0 - (w + (0 - 1)). Solve q*t - 9 = -3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:05 AM and 6:06 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g**2 + 26*g + 794. Let b be k(-18). Suppose -i - 13 = 5*n - 0, 2*i - 16 = 4*n. Let r(p) = -i*p + 2 - 4*p + p. What is r(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -ade85 - 1?\nAnswer: -ade86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 48309475 and 625?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**2 - 33 + 33. Let b(m) = 2*m**2 - m + 1. Let i(c) = -6*a(c) + 5*b(c). Let s(z) = -3*z**2 + 4*z - 4. Give -4*i(r) - 5*s(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -111966, -111993, -112020, -112047, -112074, -112101?\nAnswer: -112128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -37708 + 263387\/7. Let p = -81 - k. Suppose 0 = 3*d + 2 + 10. Which is the biggest value?  (a) p  (b) 2  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 2*m = 217. Let b = -23 + m. Solve -4*j + 0 = b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + t + 13 = 0, -3*c - 2*c = t - 14. Let r(b) = -2*b + 1. Let g be r(-2). Let x = g + -3. Is c smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 1627, 34, -2\/5, -4\/7, -12, 0.3?\nAnswer: 1627","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 97022 to the power of 1\/2, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 634384651 at most 634384652?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -2418*y + 9121. What is g(4)?\nAnswer: -551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*a**2 + 1203904*a - 90586552576.\nAnswer: -4*(a - 150488)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1551939 is divided by 679?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.058734 millimeters in centimeters?\nAnswer: 0.0058734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2617551 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*v + 38*v - 10*v + 4*v**2 - 4*v.\nAnswer: 4*v*(v + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**2 + 3*t - 3. Let m(s) = s. Let k be m(-5). Let v(n) = 2*n**2 - 7*n + 7. What is k*d(p) - 2*v(p)?\nAnswer: p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/(-6) + 1\/(-2). Let i be 3\/2 + (-15)\/10*-1. Solve r = i*s - 0*s - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 145226173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h = 4*h + 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 22 + -19. Which is the third smallest value?  (a) p  (b) -0.1  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -4046, -4047, -4048?\n\"Answer: -l - 4045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -553\/5 - -111. Let h be ((3 - 5) + 1)*0. Find a such that 0*a**2 + 0*a + h - v*a**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-18) - (-72)\/81)*(-9)\/(-16)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**18)\/c*c*c*c**33*c**(-22)*c**(-3)\/c assuming c is positive.\nAnswer: c**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -42095, -41790, -41485?\n\"Answer: 305*s - 42400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 7, d: 2}. Give prob of sequence ddww.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.2, 7, 2, -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -40166345, -40166343, -40166341, -40166339, -40166337, -40166335?\n\"Answer: 2*s - 40166347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 8\/6*1*3. Let y be -157 + 0 - (-6 + 7). Let s = 1104\/7 + y. What is the nearest to 1 in h, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 5 - 4 + 3 - 1 + 1259*y. Is w(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 91476 or 91546?\nAnswer: 91476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76) + sqrt(76)*1*-5 - sqrt(76))\/(sqrt(28)\/(-2*sqrt(7))).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8961.25396 - -8961. Round t to two decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -13908 by 366.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.13559 to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03 times -0.1082462?\nAnswer: 0.003247386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from brrmmrmmm. Give prob of picking 2 m and 1 r.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000224086 rounded to five dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/10*50\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -56, -80, -92, -86, -56, 4, 100?\n\"Answer: q**3 - 31*q - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 270 and 594.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**3 - 8*a**2 + 9*a + 3. Let l be s(-9). Let k(o) = -4*o + 1. Let b(t) be the third derivative of -5*t**4\/24 + t**3\/6 - t**2. Give l*b(y) - 4*k(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -13*t**2 - 6*t + 7. Suppose 0 = -3*y + 8*y - 10. Let j be r(y). Let v = -41 - j. Calculate the remainder when v is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 19690 and 7160?\nAnswer: 78760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.03 - 0. Let v = 0.02999989 + c. Round v to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 + 164 + 13*i**2 + 0*i**2 - 13 + i**2 to s*i + x*i**2 + w and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*q**4 + 105*q**3 + 397974*q + 800649589.\nAnswer: 8*q**3 + 315*q**2 + 397974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 87 = -1712 - 197. Calculate the remainder when m is divided by 200.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 306 + 195. Let o = -488 + p. Let a = -4 + 6. Solve v + o = -a*g, v = -0*v + g - 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 25\/9 + (-10)\/(-45). Suppose -t*s - 5*w + 2*w = -336, 3*s - w - 328 = 0. What is the greatest common factor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and 70930.\nAnswer: 21279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 106 = 3*q + 5, -q + 53 = 2*w. Solve -w*t - 146 = -11 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(210)*-1)\/sqrt(6) + sqrt(350)\/sqrt(90))\/(((-1*sqrt(20) - sqrt(20))\/sqrt(2) + sqrt(10))\/sqrt(2)).\nAnswer: -10*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 996 = -7*v + 9*v. Suppose v - 178 = 16*l. Let i be (4\/(-30))\/((-24)\/l). What is the nearest to 2\/13 in i, 0.5, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from succusjsccduuscu. What is prob of sequence udcu?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -16\/7, 116709 in decreasing order.\nAnswer: 116709, 2, -16\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 110109 + 83166 = 3*v, 0 = -4*v + 2*s + 257704. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 281, -5, -189019 in increasing order.\nAnswer: -189019, -5, 281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 358.1317ml?\nAnswer: 0.3581317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -c + c - 6*c**2 + 225 - 212.\nAnswer: -6*c**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -677.01 - -674. Let d = y + 0.01. What is the second smallest value in d, 4, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 4, k: 3, o: 8, a: 1, q: 1}. Give prob of picking 2 k and 2 o.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/258)\/((-30)\/(-6) - 4).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 431 is divided by (-178)\/(-6) - -7*(-5)\/(-105)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/(-12)*((-2)\/(-2))\/(-5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 85044254 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (414\/4)\/(((-170)\/(-40))\/(-17)). Let g = i + 411. Let v(k) = k**3 + k**2 + 4. Determine v(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the second derivative of 7\/6*o**3 + 1\/12*o**4 - o**2 + 0 - 4*o. Let x be (-7 + (-28)\/(-8))\/((-3)\/(-6)). What is q(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -60*k**2 - 106*k + 226. Determine g(9).\nAnswer: -5588","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 q when three letters picked without replacement from wuqxuqvwvwwh.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 253*c - 212*c - 310*c + 5030 = 234*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 595 - 603. Let y(s) = -6250*s**3 - 10*s - 80. Let f be y(j). Round f to the nearest 100000.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/264 and ((119\/(-66))\/(-7))\/(0 + (-1)\/(-9)).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**3 + 9*k**2 + 2*k + 25. What is the tens digit of v(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**2 + 5*m - 2. Let k be v(4). Let n(s) = s**2 + 3*s - 7. Let z be n(-5). Factor k + 0 + 3 - 3 + z*b + b**2.\nAnswer: (b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (912\/(-456))\/(1\/4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0\/(-4) + 65*4. Suppose 3*y - h = o, 11 = 3*h - 1. Round y to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14650 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 39281730 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -738 + 2314 = 197*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 5, 1\/3, -1, 1\/7, -19\/14 in increasing order.\nAnswer: -3, -19\/14, -1, 1\/7, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1458 and 5661?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 278437261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w - 2*w - 186. Suppose -3*r + w = -30. Suppose -2*u = -j + 39, u + 3*u = j - r. Calculate the remainder when j is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -65\/3 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the second derivative of d**5\/20 - d**2\/2 + 63*d. What is p(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 0 + (-13 + 0 + 11 - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 11*n - 649. Calculate j(54).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-3\/11)\/(k*k*k\/(k\/k**(-5\/3))))\/(k\/(k\/(k**(-11\/3)*k*k))*k*k**9))**23 assuming k is positive.\nAnswer: k**(-6785\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76) + (sqrt(76) + sqrt(76)*2*-6 - sqrt(76)))\/sqrt(2))\/(sqrt(98) - 2*-1*sqrt(98)).\nAnswer: -11*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.1 + -2.9. Let r = -34\/189 + 1\/27. What is the closest to -1 in 0.1, r, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 814 is divided by 56?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m - u + 348, -3*m + 3*u + 1043 = 5*u. Let d = m - 342. Which is the biggest value?  (a) d  (b) -2  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6.56 <= 0.0744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyyyyyyyyy. What is prob of picking 2 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.02 in 4, -2, 1\/2, -0.1131, -79?\nAnswer: -0.1131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in eleven halves of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 2 u when four letters picked without replacement from {f: 2, o: 3, u: 3, r: 5}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 152, 408, 722, 1124, 1644, 2312, 3158?\nAnswer: 4212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5008\/14093 + 2\/829. Let h = y + 59\/119. Which is the second smallest value?  (a) h  (b) 0.3  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -255*x + 0 = -266*x - 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -1771203 less than -1771209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-1\/6)\/a*a\/a**(2\/5))\/((a*a**(2\/5))\/(a*a**3)))\/((a**(-1))**(-2\/39))**(3\/5) assuming a is positive.\nAnswer: a**(781\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.069 - 0.231. Which is smaller: g or -0.08?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, -0.2, 0, -2, 0.4, 174?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -656*t + 123. Let p(m) = -219*m + 39. Let c(x) = -4*h(x) + 11*p(x). What is the derivative of c(o) wrt o?\nAnswer: 215","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**2\/11 + 1572*k\/11 - 926694\/11.\nAnswer: 2*(k - 393)*(k + 1179)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -9*v**2 + v + 4. Let w(b) = 9*b**2 - b - 5. Let f(p) = -5*l(p) - 4*w(p). Let s be -4 + -1 - ((-12)\/(-3) + -8). What is f(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*o + 2*o + 0*o)*(-o**2 - 3*o**2 + 3*o**2)*(-9112 - 26*o + 9112 + 691*o).\nAnswer: 1330*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iwiciiwwidq. What is prob of picking 1 q, 2 w, and 1 d?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 - -1. Suppose h + 36 = 5*i, -10 + 33 = 4*i + 5*h. Let w(q) = 3*q**2 + 7*q + 4. Let v(x) = -2*x - 3*x**2 - x**2 + 3*x**2 - 1. Give i*v(u) + o*w(u).\nAnswer: -u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*s**3 + 25*s - 21*s + 1 + s + 2*s**4 + 14*s to the form h*s**3 + v*s**2 + c*s**4 + a*s + o and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15, 10, 9, 18, 43, 90, 165, 274?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 4\/238243435 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v**2 + 16881140*v - 371383144 = 0.\nAnswer: 22, 4220263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*d = -14*d. Let s(l) = -2*l - 3. Let a be s(d). Let n be -3 - (a - 2)\/(-5). Sort n, -5, 4 in descending order.\nAnswer: 4, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 149\/24 and -77\/10342.\nAnswer: 124104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 19\/235 + 8239\/5640. Find the common denominator of a and -55\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -32a9a4 + -23?\nAnswer: -32a9c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 102905?\nAnswer: 5, 11, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -3242.97 rounded to the nearest 10?\nAnswer: -3240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -37*b**2 - 4*b - 1. Let f(u) = -74*u**2 - 9*u - 2. Let o(j) = 6*f(j) - 13*z(j). What is the units digit of o(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h**2\/3 + 44380*h\/3 + 2490553 = 0. Calculate h.\nAnswer: -44211, -169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:43 PM and 8:43 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = 4*m - 5*l - 7, -5*m + 3*l + 27 = 0. Let c(r) = -3*r - 53. Let v be c(-17). Let f = v + m. Solve 0 = -3*z + z + f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**3 + 2*i**2 - i + 2. Let p(b) = b**2 + 1. Let m(x) = h(x) - 3*p(x). Let v(s) = s**2 - 1. Let o(r) = -m(r) - v(r). Determine o(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -2*o**3 - 4*o**2 - 33*o + 6. Let z(s) = 2*s**3 + 3*s**2 + 32*s - 5. Give -5*d(j) - 6*z(j).\nAnswer: -2*j**3 + 2*j**2 - 27*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11)\/((-1)\/((-2)\/2))*1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 2 g when four letters picked without replacement from {y: 5, g: 2, j: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 80 and 96595.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1775 and 7 + (-13 - (6 + -16))?\nAnswer: 7100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/(-3) + (-10)\/(-3). Suppose -3*z + n*z + 14 = 0. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13310 is divided by 4099.\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*u - 3*u = -2*r + 22, -4*r - 46 = -5*u. Let j(y) = -y**3 + 5*y**2 + 6*y. Let t be j(u). Which is the third smallest value?  (a) t  (b) 2  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 456851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24566?\nAnswer: 2, 71, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 124 is divided by 73.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r - 4. Let c be l(6). Suppose -k - 8 = -4*t + c*t, 5*k = 3*t - 5. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 426600 by -15800.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -4*j**5 - 214*j**4 - 690*j**3 + 508*j**2 + 400*j = 0.\nAnswer: -50, -4, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1263023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 303.5832 grams?\nAnswer: 303583200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**2 - z - 2. Let h(f) = 19*f**2 + 7*f + 10. What is -h(k) - 5*i(k)?\nAnswer: -24*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -193*b**3 - 194*b**3 + 376*b**3.\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 747 a factor of 25874804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 48 = -3*x. Which is greater: 10 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.08  (b) -2  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (-2*sqrt(78))\/sqrt(6) + -3)**2 + ((sqrt(39) + (sqrt(624)*-2 - sqrt(624)))\/((sqrt(27) - sqrt(3))*3))**2.\nAnswer: 3445\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 62 + -137?\nAnswer: -a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 321844171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-10)\/((-12)\/(-4) - 5). Let t = -0.48 + 0.4. Let j = t - -0.38. Which is the third biggest value?  (a) j  (b) m  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -0.3, -59677, -1\/2 in ascending order.\nAnswer: -59677, -1\/2, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001453903374 to 7 dps.\nAnswer: -0.0014539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 438\/15749, -0.3, 2 in decreasing order.\nAnswer: 2, 438\/15749, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w + 17. Let u(f) = -f - 16. Let d = 2370 + -2373. What is d*o(t) - 2*u(t)?\nAnswer: -t - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*k + 0*k - 3*k**2 - 4*k**2 + 0*k**2 + 3*k**2 + (2*k - 5*k + 4*k)*(2266 - 2266 - 143*k) + (3*k - 6*k + 2*k)*(-11 + 15*k + 11).\nAnswer: -162*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3 - (-9 - (2 - 10)). Suppose 12*o = 11*o + 3*c - 4, o - l*c + 5 = 0. Let v(f) = 23*f + 1. What is v(o)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.5 - -1.19. Let z = q + 0.346. Let k = 0.036058 - z. What is k rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/(-3)*(-2376)\/(-360))\/(2\/22).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:05 PM and 6:05 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8350?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, -87, -4, 387, 5.\nAnswer: -87, -4, -2, 2, 5, 387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.003488762 to 4 dps.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1344648 and 30048?\nAnswer: 5378592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 598402 is divided by 333?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 559550 to the nearest 10000.\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 660 and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -34, -54, -74?\n\"Answer: -20*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 180 is divided by 73.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15 + -12. Is u\/(-2)*76\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -30669, -28661, -26653, -24645?\nAnswer: -22637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 79 + -75. Solve -2*r - 2*r + 8 = 5*z, 4*r + 4*z = t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 22509780?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 19 - 19 = 5*x, 0 = p - 3. Let j(b) = -b**3 - 8*b**2 - 7*b + 1. Calculate j(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*f + 2*f + 4*f - 5*f + 2*f - 2*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*-6244.\nAnswer: 18732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 23*a**3 - 7*a**2 - 7*a. Let s(h) = -4*h**3 - 11*h**3 + 5*h**2 - 3609*h + 3614*h. Give 5*b(c) + 7*s(c).\nAnswer: 10*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -92*k + 37. Let v be y(-2). Sort 0, v, 5, 2 in descending order.\nAnswer: v, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - q)*(-88*q**2 - 189*q**2 - 251*q**2).\nAnswer: 528*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(77) + ((sqrt(77) - sqrt(77)*-2)*1 - sqrt(77)) + sqrt(77) + sqrt(77) - sqrt(77))*4)\/(-4*1*sqrt(11)*-3).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1115, 1114, 1111, 1106, 1099?\n\"Answer: -o**2 + 2*o + 1114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51 = -2*u + x, -4*u + x + 4*x + 99 = 0. Let h(l) = l**2 + 7*l - 10. Let c be h(-8). Let w = u - c. What is the highest common factor of w and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 760 and 340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1155 is divided by 284?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -6*w. Suppose -20 = -3*j + 94. Suppose w = -2*s - 5*t + 72, 0*t + 3*t = -s + j. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -37.5 + 18. Let k = -6.5 - i. Let u = 14 - k. Is -18 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 2*i - 2 = 1, 3*y - 9 = -2*i. Suppose 0 = z - 4*h - 14, -z - 4*h = -4*z + 18. Suppose 3*c + y = 3*j, 3 = -j - z. Sort 1, c, 4 in descending order.\nAnswer: 4, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 416, 1.\nAnswer: 1, 6, 416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 2\/13, -0.086, 4?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 112806389?\nAnswer: 73, 109, 14177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 8*p**2. Let m(t) be the second derivative of t**5\/30 - 2*t**2 - 3*t. Let k(y) be the first derivative of m(y). Determine i(k(b)).\nAnswer: 32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -23, -99, -307, -713, -1383, -2383, -3779, -5637?\nAnswer: -8023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -n + 28 - 13 + 7 + 25 to the form d*n + b and give b.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 8*s = -2*i, 0 = i + 2. Let y(p) = -1 + 0*p + 5 - p - 3. Let h(c) = c - 2. Give s*h(a) + 3*y(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -o - 20, 2 = -5*o + 5*u - 18. Let s = 8 + -3. Solve -s*f - 5*l + 10 = 0, -f - 4 = -2*l - o*l for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -277*s + 624*s = 307*s - 1240 for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -133775, -128139, -122503, -116867, -111231?\n\"Answer: 5636*j - 139411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1056 * -50.\nAnswer: 5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 28 = -4*c. What is the least common multiple of c and 11?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 144 + -142. Let l(w) = 3*w - 4. Let n be l(3). Suppose -2*m + 16 - n = y, 0 = -5*y + v*m + 31. What is the remainder when 20 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*k**3*o**3 + 4*k**3*o - k**2*o**3 - 110*k**2*o wrt k.\nAnswer: -18*o**3 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.4 and -187.\nAnswer: -74.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3978\/7 - -561. Calculate the common denominator of v and 55*4\/72 + -2.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -6*k + 3111. What is the hundreds digit of t(-110)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 61 + -61.29. Let m = o + -0.01. Let i = -2.9 - 0.1. Put i, 2\/19, m in increasing order.\nAnswer: i, m, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -69*f. Suppose 5*n + 4*c + 12 = -5, 8 = -5*n - c. Let q be t(n). Let u = q + -45. Is 20 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 226861331 to the nearest integer?\nAnswer: 15062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -876 by 6.\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22 + 351 - 290 - 4*s.\nAnswer: -4*s + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3*j**2 + 15721*j + j**2 - 15742*j)*(539*j - 539*j + 31*j**3).\nAnswer: -62*j**5 - 651*j**4 + 124*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:54 AM and 1:08 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -7 + 126 + -121\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -116820, -116815, -116808, -116799, -116788?\nAnswer: -116775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 185 + 113. List the prime factors of u.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/30*-8)\/((((-35)\/(-7))\/(-25))\/7).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 8 = -4. Let p(h) be the third derivative of h**4 - h**3\/6 - 104*h**2. Give p(u).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 17.3 - -1.7. Let t = p + -19.2. Which is the closest to 2?  (a) -2  (b) t  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1, 650, -4, -2 in ascending order.\nAnswer: -4, -2, 1, 2, 650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 1\/4, 3\/67, -4, 5, 0.63?\nAnswer: 3\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 11427619 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: Solve 331 = -l + 4*h, -6909 + 7167 = -4*l + 3*h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 9*w**2. Let f(t) = 5*t + 7. Let x(j) = -2*j - 3. Let h = -4 + 7. Let u(d) = h*f(d) + 7*x(d). Give k(u(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 51*z**3 + 39*z**2 - 13*z + 9. Is m(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the second derivative of -10539*t**8\/56 - 41*t**4\/3 - 8*t - 409. Find the third derivative of p(f) wrt f.\nAnswer: -1264680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -239*x + 40 = -243*x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000010110111111101 - -110000100?\nAnswer: -1000010110001111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -13526479\/49995 - -6\/5555. Let p = u + 271. Determine n, given that 10\/9*n**4 - 2\/9*n**5 - 2*n**3 + 0 + 14\/9*n**2 - p*n = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*b**2 + 2*b**2 + 0*b**2 + (2*b - 4 + 4)*(730 + 313*b - 730) to c + l*b**2 + w*b and give l.\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 - 0) + -991 + 1041.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 307955, 1231864, 2771729, 4927556, 7699351, 11087120?\n\"Answer: g**3 + 307972*g**2 - 14*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-941*15)\/3*(-2)\/(-8). Suppose -x = -4*p - 1143, 7036 = 4*x - 5*p + 2409. Let u = x + k. What is the common denominator of 83\/18 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 17328 and 57.\nAnswer: 17328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*n = 4*n - 762260. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.40461 - -0.00461. Is y < 0.086?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3069*d**3*s**2 - 82*d**3*s + 5*d**3 + 10*d**2*s**2 + 9*d*s - 34*d - 7*s**2 wrt s.\nAnswer: 6138*d**3 + 20*d**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10.3 - 10. Let g = -0.6 - -0.3. Sort g, -4, h.\nAnswer: -4, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 18676*c**5 - 84*c**4 - 2*c**2 - 2*c - 3888896.\nAnswer: 373520*c**3 - 1008*c**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and 0.29.\nAnswer: -0.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(1\/2)*l**(-2\/13)*l)\/(l\/(l\/(l\/(l**(-1\/6)*l*l)))*l*l**(-3\/7)\/l*l) assuming l is positive.\nAnswer: l**(439\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 129*o - 627 + 661*o + 627.\nAnswer: 790*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 261667\/(-3) - 6\/9. Let n be t\/(-1 - 0\/(-3)). Let o = -126223 + n. Round o to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/u**7)\/(u*(u**(5\/3)\/u)\/u*u))\/(u\/(u*u*u*u**3*u))**(-1\/22) assuming u is positive.\nAnswer: u**(-262\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -219 divided by 232?\nAnswer: -219\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -2\/13, 0.1, 4 in decreasing order.\nAnswer: 4, 0.1, -2\/13, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 8\/(-6)*(-654)\/7412\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03947 rounded to three dps?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/((-15)\/(-18)*(-6)\/15). Suppose s + 4*t + 5231 = 996, r*s + 12769 = 4*t. Let x = s + 10951. What is x rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2 + 2. Let v(x) = -6*x**2 - 237 + 9*x + 237 - 6*x**c + 21*x**3. Let h(k) = 3*k**4 - 10*k**3 + 3*k**2 - 4*k. Let f(p) = 9*h(p) + 4*v(p). Factor f(s).\nAnswer: 3*s**2*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + c = -24. Suppose y + y = c. Suppose -y*w = -5*w - 4*z + 16, 3*w = -3*z + 9. What is the smallest value in -0.5, w, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 6  (b) 94  (c) -12  (d) -2\/11  (e) 0.2  (f) -270\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:31 PM and 7:13 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*-2*(sqrt(1539)*-2 + sqrt(1539) + 0)*-6.\nAnswer: 540*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4 - 4825460\/6)*-3. Suppose 3*z + y = -7487258. Round z to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8933 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (22\/11)\/((22\/8)\/(7\/(-28))).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -46155\nAnswer: 4\/46155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from xkxxxxxkxkxxxkkxkxx?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n**(-1\/4)\/n))\/(n\/n**(-1\/13))*((n\/n**(-1\/2))\/n)**(-16\/11)*((((n\/n**(-2\/29)*n)\/n*n)\/n)\/n*n*n**9)**(-35) assuming n is positive.\nAnswer: n**(-5838445\/16588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand s**4 - 2*s**4 + 0*s**4 + (-2*s**4 - 4*s**4 + 4*s**4)*(1 - 1 + 2) + 3*s**4 + 4*s**4 - 6*s**4 + (4*s**3 + s - s)*(-109*s - 1394 + 1394).\nAnswer: -440*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -13530281 or -13530282?\nAnswer: -13530281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*t**4 + t**3 - 6317737*t**2 + 38*t - 391707.\nAnswer: 24*t**2 + 6*t - 12635474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 5*q - 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -68104, -134307, -200508, -266707, -332904, -399099?\n\"Answer: i**2 - 66206*i - 1899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-5 + 89493\/(-9))*9\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-100 - -1)\/(30\/(-285) + (-245)\/380). Suppose 0 = -q - h + 5*h + 2, 2*q - 5*h - 19 = 0. Calculate the greatest common divisor of f and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.04?  (a) 0  (b) 1\/18  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 156811, 3, -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1465*o**2 - 1468*o**2 - 218*o - 172*o + 2932*o**2.\nAnswer: -o**2 - 390*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(30)*1*-6)\/(sqrt(640)*-2 + sqrt(10)).\nAnswer: 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23 = -314*g + 315*g + s, 2*g + 14*s = -358 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a + 4*d - 42, 3*d = -3 + 12. Suppose -a*k + 15 = -k. Let h = -86 + 87. Solve k*o = c - 3*c + h, 0 = -5*c - 4*o + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 4 = -3*y + 2*c, -y = -4*c + 6. Let i(l) = -2 - l**2 - 1 - 6*l**y - 10*l + 13*l. Let t(d) = -4*d**2 + 2*d - 2. Calculate 3*i(g) - 5*t(g).\nAnswer: -g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.2 - 0.1. Let r = -0.7 + 0.2. Which is the closest to 0?  (a) j  (b) r  (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4\/(-4)*9)\/(-1). Factor 31 - z*d - 20 - 17 - 3*d**2.\nAnswer: -3*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1402486 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5.16 + -5.2189. Let y = r - -0.058543. What is y rounded to 5 dps?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8397, -8412, -8425, -8436?\nAnswer: -8445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k + 48 = 2*v + 109 - 52, -2*v + 3 = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 26293, 46521, 66737, 86935, 107109, 127253?\nAnswer: 147361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**3 - 3*j**2 - 7*j - 2. Let c be k(5). Let p(r) = -2*r + c*r - 20 - 2*r - 3*r. Let h be p(4). Solve -3*n + 3*l + 22 = -n, -h*n + 8 = 3*l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 457019.4 months in millennia?\nAnswer: 38.08495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -8 * -0.15207532.\nAnswer: 1.21660256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -1. Let x(a) = 3*a - 8. Let i(l) = -2*x(l) - 6*y(l). Let r be i(3). Solve 11 = 2*u - 3*c, 2*u = -0*u - r*c - 24 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 - -6. Let a(w) be the first derivative of w - 4*w**2 + 9*w + w - z - 3*w. Find the first derivative of a(k) wrt k.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 284 and 18?\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 39578.92 to the nearest one hundred.\nAnswer: 39600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 5*t + 4. Let a(k) = -6*k - 5. Let w(g) = -4*a(g) - 5*d(g). Let v be w(0). Let b(i) = i + 47. Calculate the remainder when b(v) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-377)\/(-78) - (-1)\/6. Let z(b) = -b**2 - 9*b + 12. Let f be z(-10). Suppose 3*k - 2533 = -a*c, f*k + 1710 = 4*k - 2*c. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the second derivative of -v**8\/42 + v**7\/35 + v**6\/60 + 3*v**2 + 27*v. Let d(p) be the first derivative of o(p). Suppose d(a) = 0. What is a?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 2*p**2\/15 - 22*p\/15 - 9536\/3 = 0.\nAnswer: -149, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -170 = -7*x + 2*x. Let m = x - 135\/4. Which is the second biggest value?  (a) 5  (b) -0.4  (c) m  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is m in 572*m**3 - 55*m**5 + 59 + 37 - 29*m**5 - 368*m - 58*m**2 + 15*m**2 - 13*m**2 + 80*m**4 = 0?\nAnswer: -2, -1, 2\/7, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 69*s - 127. What is the thousands digit of o(64)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-24)\/(-9)*(-9)\/(-2). Suppose 0*g - 3*u = -2*g + w, 3*g - 2*u = 13. Suppose -2 = p - g. Solve 0 = z - p, 4*a + 4*z - 17 - 3 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1579376, 1579378, 1579380, 1579382, 1579384?\n\"Answer: 2*h + 1579374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 677 minutes before 3:18 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 14559 - 13524. What is the highest common factor of b and 920?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.08 - -0.14. Let i = -0.04 - c. Put 2\/5, i, 0.2 in increasing order.\nAnswer: i, 0.2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3 and 77037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the third derivative of -15*s**9\/56 - 52*s**5\/15 + 181*s**2. Find the third derivative of m(k) wrt k.\nAnswer: -16200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the first derivative of -14*q**5\/5 - 4*q**3\/3 + 55*q - 65. Differentiate j(u) wrt u.\nAnswer: -56*u**3 - 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 105646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 5 and 548666960667?\nAnswer: 548666960662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 4, -5, 129\/2, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 338491 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, k: 6, f: 4, d: 2, u: 7}. Give prob of picking 2 f and 1 k.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 6150707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - -7 - ((-14 - -24) + 18).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -18 <= 77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 2*o**3 - 2*o**2 - 4*o - 2. Let j be w(-2). Let a = -264091\/50562 - -5\/5618. What is the common denominator of (13\/j)\/((-3)\/30) and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1438451041?\nAnswer: 1438451041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 896385 is divided by 58?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 110223040 (base 5) to base 8.\nAnswer: 1642745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 22, 42, 58, 70?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8 (base 10) to base 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 9239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 + 0)*(-2 + 2 - 1)*(4 - 3 - 2)*(5*x**2 + 0*x**2 + 2*x**2).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-80)\/(-42) + -3 - 2\/(-3).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 1360 = 5*c, -z + 3*z - 1088 = -4*c. Is (-1 - 100\/(-16))\/(2\/c) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -2*o**2 - 12*o + 4. Let q be k(-6). Suppose -930 = -3*x + q*v + 319, v = -2*x + 840. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**(2\/5))**31\/((j\/(j\/j**(-1\/8)))\/j*j**(-5)) assuming j is positive.\nAnswer: j**(989\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1391341 or 1391340?\nAnswer: 1391341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 133477?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -39*d + 372 + 847 - 634 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 168\/392 + (-51)\/70\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in three tenths of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 8*q**3 - 7*q**4 - 94887*q + 94887*q to v*q**2 + k*q**4 + f*q**3 + l*q + p and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 972 and 1296?\nAnswer: 3888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17233 is divided by 258?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-1\/8)\/c*c**(3\/2)*(c**(-2\/21)\/c)\/((c**(-4\/9)*c)\/c) assuming c is positive.\nAnswer: c**(-139\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3, 26825, -100 in descending order.\nAnswer: 26825, 3, 1, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 379 = 5*u + 4*g, -5*g = 15*u - 11*u - 296. What is the second derivative of u*k**2 - k**2 + 16 - 16 + 10*k wrt k?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the first derivative of -7*s**4\/4 + s**3 + s**2 + 3*s + 7. Is y(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w + 1. Let g(l) = l**3 - 6*l**2 + 1. Let s be g(6). Let h(f) = f**3 - f**2 - 1. Let u be h(s). What is the units digit of d(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -385.13435 to 1 dp.\nAnswer: -385.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 85 - b?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -25*x + 1929*x**2 - 1953*x**2 - 11*x - 3*x**3 = 0.\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13008 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 4*v + 269 = -13, -2*v = -f + 94. Let j = 72 - 78. What is the least common multiple of f and -6*j\/(9 + -3)?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-n**2 + n - n)*(2*n**2 + 0*n + 0*n) + 2*n**4 - n**4 + 0*n**4 - 12*n**4 + 21*n**4 + 4 - 5*n**3 - 11*n**4.\nAnswer: -3*n**4 - 5*n**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from qqqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4 - 0.09683445.\nAnswer: 0.30316555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -252 by 63.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (14 - 8)\/((-2)\/(-2)). Suppose p = 7*g - 5*g. Let y(x) = x**3 - 4*x**2 + 3*x + 2. What is y(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 - -15. Suppose z + 2 = 3*r. Calculate the remainder when r is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 34\/7 and -107\/40?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-20)\/15 - (-96)\/18. Suppose 0 = -4*h - 13 + 21, -b*p - h + 10 = 0. Solve -3*d + 0*d = 4*m - 3, p*m + 21 = 3*d for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5124*t + 19625 = 5281*t for t.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1\/((-27)\/(-648)*-6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 95*y + 847. Is v(50) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (19 - 2) + (37 - 42).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the first derivative of w**4\/4 - w**3 - 2*w**2 + w + 16. Give i(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 108*z + 1 + 36*z + 112*z + 98*z + 157*z - 219*z.\nAnswer: 292*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -11 - 43198?\nAnswer: -431a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.3  (b) -2\/5  (c) 2\/5  (d) 2  (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 2*l**3 - 33*l**2 - 52*l - 7. Calculate z(18).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:30 PM and 11:03 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -39*b**2 - 837*b + 433. Calculate m(-22).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 200\/(-48)*(3376\/(-840) + 4). Which is greater: r or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 33 + -20. Let f be ((-560)\/(-60))\/(((-4)\/18)\/(-1)). What is the remainder when v is divided by 7\/f + 94\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the third derivative of 0 + 0*v**4 + 1\/12*v**5 + 0*v + 2\/3*v**3 - v**2. What is the first derivative of b(j) wrt j?\nAnswer: 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1, -5, -4, 4, -1 in descending order.\nAnswer: 4, 2, 1, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -4 * -262498529\nAnswer: 1049994116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1828, -3697, -5566, -7435?\n\"Answer: -1869*t + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 45.5763 - 45.7. Let v = b - -9.4537. Let i = v - 8. What is i rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-33)\/(-5)*((-21)\/91 + 417\/117). Let i(a) = 32*a + 2. Let v be i(4). Let g = -75 + v. Calculate the greatest common factor of g and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 266 + -247. Suppose -16 = -4*k - 0, z = f + 4*k. Solve -3*t = 3*x - t + 19, -f*x + 2*t + 1 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4*0.19172347\nAnswer: 0.76689388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*u + 17*u = 4660. Let i = u - 463. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9*(129\/86)\/(14\/((-280)\/990))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*y**5 - 26*y**3 - 259*y**2?\nAnswer: 240*y**2 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 80928 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 24633, 27569, 30505, 33441?\nAnswer: 36377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a hour in seconds?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.04 times 2615\nAnswer: 104.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.2?  (a) -7  (b) 152  (c) -1  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 - -9. Suppose 33 + 65 = t*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-11))**34 assuming l is positive.\nAnswer: l**(-374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1429*x + 56397 + 35614 = -78040 for x.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22669*b - 22158*b = 50858 - 8956 for b.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 1, 99\/2, 834 in ascending order.\nAnswer: 0.5, 1, 99\/2, 834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19686, -79247, -178680, -317985, -497162, -716211?\nAnswer: -975132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the second derivative of n**3\/6 + 11*n**2\/2 - 4*n. Let y be r(-6). Sort -3, y, 4.\nAnswer: -3, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:36 PM and 3:02 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -81\/1270 and 9\/350.\nAnswer: 44450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*s - 44*s = -70. Is s >= -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12734045769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 30253869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-5 - -2)*4*1. Let p be 2\/w*-2*3. Suppose 2*k - 7 = p. Solve -j - 4 = 0, k*g - 3*j = j + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c + c - c)*(0 - 2 + 1) - 5*c + 2*c + 2*c + (7 - 3 + 0)*(-3 + c + 3).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:30 PM and 6:13 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8798970 and 333.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/53?  (a) 8\/7  (b) 51  (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*x**4 - 2*x**4 - 3*x**4 + (-x**2 - 3*x**2 - 4*x**2)*(-2*x**2 + 2*x**2 - x**2) - x**4 - 5*x**2 + 5*x**2 + (-2 + 2*x**3 + 2)*(9*x + 7*x - 4*x).\nAnswer: 32*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 31 and 11384099.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes before 2:44 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*h = -16*h - 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4889 - 21153 = -19*k. What is the second derivative of -384*f**5 - 15*f + k*f**5 - 330*f**5 - 121*f wrt f?\nAnswer: 2840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 2*a - 14. Let y = a - 5. Let w = 4 + y. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 14*z + 1\/5*z**2 = 0. What is z?\nAnswer: 0, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -2*b. Suppose 2*p = -0*p. Let h(f) = f**2 + p*f + 0*f + 0*f. Calculate h(i(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -2585*z**2 - 8456*z**2 + 1356*z**2 - 1 + 1 in the form i + c*z + b*z**2 and give b.\nAnswer: -9685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(2299) + 5)**2.\nAnswer: 550*sqrt(19) + 57500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 265754001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 1  (b) 3  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**3\/4 - 1155*w**2\/4 + 2313*w\/4 - 1157\/4.\nAnswer: -(w - 1)**2*(w + 1157)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000045805 to 7 dps.\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0 + (-1 + 1)\/1. Suppose y = -f + 13. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -2*b + 4. Let f be c(4). Suppose 11*q - 9 - 46 = 0. Let m(j) = -3*j + 7. Let t(n) = -2*n + 6. What is f*m(o) + q*t(o)?\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k = 19*z - 9, 0 = 13*z - 10*z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 196516415 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - ((11 - 22) + 8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -9044359370 rounded to the nearest 100000?\nAnswer: -9044400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 5\/4 of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the second derivative of v**5\/30 - v**4\/6 + v**3\/3 - v**2\/3 + 12*v. Factor o(u).\nAnswer: 2*(u - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -86425\/176 + 491. What is the common denominator of g and 113\/48?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -99, 12, -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d = 2*g + 3*d + 18*d - 21, 0 = g + d + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1819271325?\nAnswer: 3, 5, 73, 332287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*c - 13*c + 9*c**3 + 2 + 59*c**3 to the form z + v*c**3 + j*c + d*c**2 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.018  (b) 0.1  (c) -4  (d) -2\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -99*n + 161 - 100*n + n**2 - 39 + 201*n. What is the hundreds digit of g(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 5*v + 14. Let o be k(0). Let a = o - 14. Solve -3*w + 12 = a, -5*t = 3*w - 2*w + 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 1252 + 143 = -5*a, -4*a = -2*g + 1122. Let l = -153 - a. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*z - 4 = -12*z. Solve 5 - 21*l**4 + 9*l**2 + 15*l - z - 12*l**3 + 9*l**4 - 3*l**3 = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1804\/69 at most as big as 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 35 and 3267467?\nAnswer: 16337335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*n - 4*n + 3*n)*(3 - 1 - 1) + (2*n - 7*n - 4*n)*(-1 + 1 + 3) - 2 + 2 - n to the form q + i*n and give i.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 42 = 17, 34 = 2*a + 2*k. What is the remainder when 21 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p = 0, 4*m - 4 = p + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 910679 to the nearest integer?\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*g + 18*g + 30*g + 84 = 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 158 - 157. Suppose -5*g = 2*m - 566, -2*m + 63 + 389 = 4*g. Let l be ((-9)\/6)\/(g\/(-8)). Which is the third biggest value?  (a) l  (b) s  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/3)\/((-3)\/3*-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1678 or -1679?\nAnswer: -1679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 100\/60 - (-2)\/6. Suppose -2*d = 5*u - 173, 0 = -o*d + u + u + 180. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 5*v + 676 = 3*d, 5*d - 5*v = 1760. Calculate the common denominator of (1\/(-5))\/(12\/(-830)) and (d\/(-88) - -4)*-59.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 314464267 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*c + 11*c - c**2 - 23*c as r*c**2 + t + q*c and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that 2*p**2\/5 + 44*p\/5 + 114\/5 = 0.\nAnswer: -19, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*f**3 + 2*f**3 - 2*f**3 + (2 - 2 + f**3)*(2 - 2 + 2) - 11*f**2 + 11*f**2 - 3*f**3 to r*f**2 + q*f + b + z*f**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 24 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 50.399 > -5\/172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -189.5 - -189.5. Which is the closest to -15\/2?  (a) -4  (b) j  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 24613 to the nearest one thousand.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1.44 or -3?\nAnswer: 1.44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 47*q + 1. Let b = -3 + 4. Let u be t(b). Suppose -h + u = h. Calculate the remainder when h is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15283*g + 6 - 1 - 5 - 8909*g + 11103*g.\nAnswer: 17477*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**2 + t + 8. Calculate v(-6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1\/7)*y*y*y\/(y*y**(-5)))\/(y**(-6))**19)**(-2\/65) assuming y is positive.\nAnswer: y**(-1692\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**3 - 17*s**2 - 27*s + 46. Let o be x(-15). Let p be 1\/2 + 22\/(-4). Let b be 4\/(-10) + (-1)\/p. Which is greater: b or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -129*s + 117*s = -276. Suppose -5*z = -3*t - 41, -t + 5 = z - 0. Let f = z + s. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + n = 0. Suppose -6*h + 4*h + 12 = n. Suppose -4*u + u + h = 0. Is 2 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2414 + -2523. Is q less than or equal to 1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 143*g - 3479. Let o be h(23). Which is bigger: -946\/5 or o?\nAnswer: -946\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -89 - ((-47 - (-6 + (-5 - 5))) + 12)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1b0cd - 0?\nAnswer: 1b0cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2421.73856 times -0.1?\nAnswer: -242.173856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2\/3*(665 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81*m - 23 = -1076. Solve -s - 21 = 5*w, -5*w - s - m = 2*s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -2*o**2. Let l = 67 + -65. Let x(a) = 8*a**l - 29*a**2 - 5*a**2. Give p(x(s)).\nAnswer: -1352*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*12\/16*(-8)\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = 8, -2*k + b = -740 - 530. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -29868 divided by -5\nAnswer: 29868\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and 2\/3440537 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-36))\/(225\/(-2700))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -17 - -32. Let o = 15.1 - d. Let f be (-2)\/(-9) - 84\/135. Put o, -7, f in increasing order.\nAnswer: -7, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 5092\/(-1140) + 4*2?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(-39)\/(143\/(-11))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes before 10:31 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hkff when four letters picked without replacement from fffhffkhkhffhfhhffff.\nAnswer: 22\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 183361 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -5*j**2 - 480*j - 11520 = 0.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -59, -237, -535, -953, -1491, -2149?\n\"Answer: -60*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(1\/33)*x**(-10))**32 assuming x is positive.\nAnswer: x**(-10528\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -17 - -4 - (-30 + 18)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -23, -17, -7, 7, 25, 47, 73?\n\"Answer: 2*u**2 - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6230 (base 13) to base 10.\nAnswer: -13559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from {k: 3, y: 1, s: 1, w: 1, m: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.1, 0.2, -0.12, 110, 1\/15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -48, -31, 28, 153, 368, 697?\n\"Answer: 4*o**3 - 3*o**2 - 2*o - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 + 4. Suppose -y + w = 3. Let k = 0 + 3. Sort 2, k, y in descending order.\nAnswer: k, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbbbbbssbdbjjbbb. Give prob of sequence bdb.\nAnswer: 11\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -5*x**2 + 20*x + 2. Let a be u(4). Solve 9*l + a = -16 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j - 11 = -s + 9, 4*j - 28 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*b**2 + 41*b**2 - 72*b**2 - 2*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 8366626 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2681 + -2677. Solve -22 = -2*i - 5*s, 15 = -i - 0*s + d*s for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -3014, -6059, -9104, -12149?\n\"Answer: -3045*a + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ffdg when four letters picked without replacement from ddgffdgfff.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -10, 3*s = -2*a - 3 - 12. Let k be 2\/((-5)\/(-30) - a). Calculate the greatest common factor of k and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 114*j - 2*c = 118*j - 1 - 11, 0 = j + c - 2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*l**3 + 0*l**3 + 2*l**3 + (-2*l**2 - l**2 + 0*l**2)*(0*l + 4*l - 5*l).\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00272920743 to 6 decimal places.\nAnswer: -0.002729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -54\nAnswer: 5\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 2 m when three letters picked without replacement from smlssmls?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*n + 5*n + n)*(-2*n**2 - 4*n + 4*n) + (0*n - n - 4*n)*(-2*n**2 + 2 - 2).\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-9)\/(81\/(-99)) - -875?\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 4*d. Let y(m) be the third derivative of -m**5\/12 + m**3\/2 + 5*m**2. Let p(u) = -6*u**2 + 4. Let s(f) = -3*p(f) + 4*y(f). Determine c(s(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 21 + -16. Let f be 4\/2 + p + -7. Solve o - 4*o + 3*m = 24, f = -o - m for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:33 PM and 3:20 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, k: 1, h: 2, g: 2, b: 1, l: 1}. Give prob of sequence hbl.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = -a, 0 = 47*h - 90*h + 44*h - 2*a + 20 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -t + 4*t - 232, -5*t + 108 = 2*y. Suppose -a = -i - 3*a - y, 100 = -3*i + 2*a. Let b = 3655 - i. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1689, -5567, -11645, -19929, -30425?\n\"Answer: -x**3 - 1094*x**2 - 589*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-64872)\/(-9))\/8 + -7.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10755 is divided by 163?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -21288987, -21288986, -21288985, -21288984, -21288983, -21288982?\n\"Answer: c - 21288988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -214*f - 18*f**2 + 14*f**2 + 214*f + 5*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16 + -5 + (21 - (-18 + 16 + 7))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2, 145 in decreasing order.\nAnswer: 145, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 34915*c + 838004. Give v(-24).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -4*c - 11, 2*m - 7 = -m - 2*c. Calculate the smallest common multiple of m and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a millisecond in microseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2, 0, -56 in decreasing order.\nAnswer: 3, 2, 0, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 8*s**3 + 9*s**2 - 17. Suppose -19*f + 286 = 172. Let d(z) = z**3 + z**2 - 2. What is f*n(h) - 51*d(h)?\nAnswer: -3*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -900*b - b**3 + 393*b + 302*b + 376*b - 2.\nAnswer: -b**3 + 171*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 100 - 74. Suppose -p = n - 31. Solve -n*h - 3*a = -28, 3*h + a = 22 - 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -218805 divided by -503\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1150, 2301, 3450, 4597, 5742, 6885?\n\"Answer: -j**2 + 1154*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r\/r**10*r*(r\/(r*(r**(4\/3)*r*r)\/r)*r)\/r*(r**1\/r*r)**(-44) assuming r is positive.\nAnswer: r**(-163\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (1 + sqrt(68))*2*5 + (((sqrt(68) + 1 - sqrt(68)) + 3)**2 + sqrt(68) - (sqrt(68) + sqrt(68) + -2 + 4)**2))*6.\nAnswer: -1494 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -3, 7, -60785, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q**5 + 255*q**4 + 126280*q**3 - 5373840*q**2 - 526553600*q - 6553866240 = 0. What is q?\nAnswer: -144, -37, -16, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1.13 * -631.96\nAnswer: -714.1148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 23*o - 85*o + 14*o + 23*o. Let s(y) = -3*y**2. What is w(s(m))?\nAnswer: 75*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1051318349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (10842\/208 - 42) + (-2)\/16?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -2*b. Let m(o) = -423*o + 5. Let n(y) = -1268*y + 18. Let i(d) = 7*m(d) - 2*n(d). Calculate c(i(s)).\nAnswer: 850*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/((-4)\/(-2)*(-285)\/(-38)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -40\/7 and (-222)\/8*(-1)\/(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -3 - (2 + 37593\/24). Let i = k + 1575. Let o = 148\/17 + -2537\/102. What is the common denominator of i and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 3638113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -4, 0*x - y + 33 = 4*x. Suppose x - 58 = -5*n. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -43508889.2 to the nearest one thousand.\nAnswer: -43509000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -1. Let y(p) be the first derivative of -9*p**2\/2 - 12*p + 5. Let o(l) = -4*n(l) + y(l). Let g(z) = z + 1. What is -24*g(x) - 3*o(x)?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 336086035 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 2*m + 2. Let j(a) = -1. Let k(s) = 3*j(s) + y(s). Let p be k(1). What is the third biggest value in -0.5, -4, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqs when three letters picked without replacement from {f: 2, s: 4, q: 8}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9 - -3. Let u(f) = -7*f**2 + 4*f - 7. Let y be u(-5). Let r = -198 - y. What is the greatest common divisor of r and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1865285*t**2 + 156*t**3 + 932641*t**2 + 932644*t**2.\nAnswer: 156*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -2*q**3 - 4*q**2 - 2*q + 1. Calculate b(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1872.348977 + -1872.3. Let n = 0.049 - r. What is n rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 35*p**4 + 1121*p**3 + 240*p**2 - 1358032*p - 28 wrt p?\nAnswer: 420*p**2 + 6726*p + 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 71 = -97. Let o = 134 + h. Suppose -4*i = -8, -3*t = 2*t - 4*i - 92. Calculate the least common multiple of t and o.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 55003\/28 - 7875\/4. What is the common denominator of 109\/264 and d?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 3*d - 20 = 0. Let f = -2 + d. Let y = 13 - f. Solve w - 15 = -3*w + 3*p, 2*p + 10 = y*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -93, -188, -347, -570?\nAnswer: -857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -5 - -665.5697\nAnswer: 660.5697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the second derivative of 53*i**4\/24 - 7*i**3\/6 - 15*i**2\/2 + 9*i. Let c(w) be the first derivative of j(w). Is c(3) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {k: 1, m: 14, o: 2}?\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let -81*a**5 + 279*a**4 - 40*a**3 - 400*a**2 = 0. What is a?\nAnswer: -1, 0, 20\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 15819951?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 21.80720506 rounded to one dp?\nAnswer: 21.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:03 AM and 3:44 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 22, 1\/21, 13 in increasing order.\nAnswer: 1\/21, 3, 13, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -35) + (-558)\/93 + 23 + (0 - 11)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2448) + 5 + (sqrt(2448) - -3*sqrt(2448)))**2.\nAnswer: 600*sqrt(17) + 61225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-1)*d**17\/d assuming d is positive.\nAnswer: d**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-135)\/(-2106)*26*7\/((-7)\/(-12))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 - 11 = -5*x. Let i(y) = -y**2 - 4*y + 6. Let u be i(-5). Put u, 3, x in increasing order.\nAnswer: u, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 437 = -4*g - 58*g + 65 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 5*h - 27. Let m be v(11). Let t = 77 + 6. Let g = t + m. Is 30 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i*i**(-2)*i\/(i\/((i\/(i*i\/(i*i*i**(-1\/5)\/i*i)))\/i))*(i*i**(-1\/4))**31*(i*i**(-1\/4))**(1\/19)\/(i\/i**(-2\/3))**(2\/15) assuming i is positive.\nAnswer: i**(37393\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -212368 to the nearest one thousand.\nAnswer: -212000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 72810519 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -215332 - -19813563\nAnswer: 19598231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 51669 divided by -220\nAnswer: -51669\/220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2940\/(-44) + 14\/(-77). Let k be (x + 63)*1\/6. Which is the second biggest value?  (a) -0.2  (b) 1  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(-10)*g\/g**(-2\/23))**(9\/4)\/(g**(-1\/4)\/g*g*g**(-3)*((g\/g**1)\/g)**(-11)) assuming g is positive.\nAnswer: g**(-2351\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 232 + -508. Find the common denominator of 62\/9 and (21\/56)\/(m\/303 - -1).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -3\/4  (b) -5  (c) 2\/19  (d) 462810  (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 3*a**2. Let t(u) = 925685*u. Give t(k(c)).\nAnswer: 2777055*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 14 + -12. Calculate the greatest common factor of u and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k - k + 11. Let f = 7 + k. What is the second smallest value in -1, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**3 - q**2 - q. Let b(s) = s**3 + 2*s**2 + 2*s - 1. Let t(u) = -4*u - 22. Let h be t(-5). Determine h*x(a) - b(a).\nAnswer: a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3*2\/2*-1. Let y(r) = 6*r**3 - 3*r. Let w(a) = -a**3 + a**2 + a. Let o(u) = p*w(u) + y(u). What is the third derivative of o(l) wrt l?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 6*g + 5. Let n be b(-6). Let s = 113 - n. Let x be (-6)\/((-4 - -1)\/(-6 + 14)). Calculate the greatest common divisor of s and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15653 is divided by 400?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 208 = -200. Let j(w) = 4*w**3 + 6*w**2 - 2*w - 2. Let x(g) = 13*g**2 - 4*g - 5 + 9*g**3 - 3*g - 3*g + 5*g. Give o*x(v) - 5*j(v).\nAnswer: -2*v**3 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 219 + -190. What is the remainder when 67 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 715040 is divided by 8938?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**3 + 44*m**2 + 260*m + 42. Let u be b(-37). Let t(x) = -2*x**3 + 7*x**2 - 2*x + 2. Calculate t(u).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 48 by -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -2*v**2. Let l(o) = -342*o**2 - o. Calculate l(a(i)).\nAnswer: -1368*i**4 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -327.410771 to 2 dps.\nAnswer: -327.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -11 - -b879?\nAnswer: b868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 6*z**3 - z**3 - 3.\nAnswer: -7*z**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 2*h - 567*v + 565*v, 4*v = -h - 13. Sort -32, 4, h, 0 in decreasing order.\nAnswer: 4, h, 0, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4217218 centuries in months?\nAnswer: 506.06616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(-12)*109*2. Let r = 3 + 34. Let s = r + v. Which is bigger: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 45049*y + 180193. Determine x(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -13 + -3004?\nAnswer: -3017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**2 - 15*p + 31. Suppose -2*s = 2*d - 20, -5*d - 4*s + 24 + 29 = 0. Let o be f(d). Calculate the highest common factor of o and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 102450769?\nAnswer: 193, 530833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 19220 - 9734. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = 43 + 37. What is the least common multiple of v and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a millisecond in nanoseconds?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w\/(w**(5\/8)\/w)))**47\/((w*w\/(w\/(w*w**(-5\/2)))*w)\/(w\/(w\/(w*w*w**(-12)*w*w*w)))) assuming w is positive.\nAnswer: w**(-201\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 115468.\nAnswer: 2, 28867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*w - 12 = -45. What is the biggest value in 1\/9, w, -0.7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4637 (base 14) to base 15.\nAnswer: 3936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 4586, 4601, 4622, 4649, 4682?\n\"Answer: 3*a**2 + 6*a + 4577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**5 + 100*m**4 - 2688*m**3 + 9216*m**2.\nAnswer: -m**2*(m - 48)**2*(m - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 5336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttvxeeo. Give prob of picking 1 t and 2 e.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**3 + 6*g**2 - 5*g - 6. Let l be -1 + (115\/20 - (-2)\/8). Let o be (0 - (l + -1)) + 3*3. Give u(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, -86, 7\/17.\nAnswer: -86, 1\/3, 7\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -17*p**3 - 24*p**2 + p - 2. Let n(m) = -35*m**3 - 48*m**2 + 3*m - 4. Calculate -2*n(v) + 5*r(v).\nAnswer: -15*v**3 - 24*v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21057600 divided by -21400.\nAnswer: -984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -581561 - -0.3\nAnswer: -581560.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 4 + 0 + 0 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 9 = -0*c. Let d = 2 - -2. Suppose 5*x - 9 = -d. Which is greater: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31\/8246*-19 - 447\/14.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -156485, -1252323, -4226747, -10019051, -19568529, -33814475, -53696183?\nAnswer: -80152947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 111483329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 299846\/9 + -33316. Put 5, 6, h, -5, 2\/5 in decreasing order.\nAnswer: 6, 5, 2\/5, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = 5*b - 1, -2*t - 11 = -2*b + 3*b. Let r be (-1)\/((-2)\/6) - b. Solve 2*i + j = 2 - r, -4*i = j + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.14 + 9545\nAnswer: 9545.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 394 and 47674?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -335349 divided by -63.\nAnswer: 5323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence myy when three letters picked without replacement from mytyt?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.06762 - 996.23238. Round l to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 5338*d + 80228. Give u(-15).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v - 2*o + 5, -2*v + 0*o = -3*o - 12. Let r(a) = -a**3 + 3*a**2 + a - 1. What is r(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 677122489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 427 + -286. Suppose m = -5*g + 861. Let w be (-1)\/((1\/(-18))\/1). Calculate the greatest common divisor of w and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-26)\/20 + (-16)\/(-20))*-4. Suppose -c + 1 = -i. What is the closest to -2\/9 in -6\/11, c, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 261211518 to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 12500*(7832 - (7 - 9)*2). What is f rounded to the nearest one million?\nAnswer: 98000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51140760 a multiple of 748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*h**3 - 2*h**3 + 8592*h - 5781*h.\nAnswer: 2*h**3 + 2811*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.039 and 1057437?\nAnswer: 41240.043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.988 - -0.012. Suppose -b = -6*b. Suppose 0*h - 5*h + 30 = b. What is the nearest to -0.1 in h, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 973 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 8)*(0 + 0 + 3*z + (z - 4*z + z)*(-1 - 5 + 12) - z + 0*z + 0*z - z - 3*z + 6*z).\nAnswer: 64*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 6570 divided by -84\nAnswer: -1095\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 86431789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/8)\/(88\/16)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3372811 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10680 and 518430.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 1258.63 weeks?\nAnswer: 761219424000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 374 and 682?\nAnswer: 11594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1755*f*u - f - 9*u + 24369 with respect to u.\nAnswer: -1755*f - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4597 = 10*w + 3253. Let y = 1335 + w. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25847422?\nAnswer: 2, 12923711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -378 + 2*p**2 - 3*p**2 + 378.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f + 0*f + 2*f)*(-5 + 2 + 1)*(-9*f + 2*f + 5*f)*(1 - 2 + 0).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d - g + 6, -2*d = 3*d + 5*g. Let n = 207 - 190. Suppose 5*z - 2*s - 34 = s, z - 4*s = n. Put 4, d, 2, z in descending order.\nAnswer: z, 4, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 14 = 6. Solve 0 = -q*f - 8, 16 = 4*v - f - 0*f for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**2. Let u(q) = 27*q - 7*q - 19*q - 20. Calculate u(g(i)).\nAnswer: -i**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/20 + 51\/45?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 2*m. Let c(i) = -115*i**2 - 94*i - 5. Let w(y) = 461*y**2 + 397*y + 21. Let p(g) = -25*c(g) - 6*w(g). Calculate l(p(q)).\nAnswer: 218*q**2 - 64*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 2*q + 23412 = 0. Let m be q\/(-24)*36*-1. Suppose 0 = 2*a + m + 32441. What is a rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**2 + 4*p + 3. Let a be y(4). Let z(j) = j**2 + j - 4. Let l be z(a). Let c(f) = -l*f + 13*f - 9*f. Let n(u) = u**2. What is n(c(x))?\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 675 and 225963.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 2*f + 8 = 0, 4*f - 8 = 2*p - 0*f. Let n be (p\/(-4))\/((-8)\/12*3). Let v = -141 - -196. Is v > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5c9c7 (base 15) to base 4.\nAnswer: 1020032131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c + 5*y - 0*y - 72, -3*c - 4*y = -108. Suppose -5*r - 3*b + 265 = -5*b, r = -3*b + c. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 113 + -60. Suppose -8*k + 9 - 9 = 0. Suppose k*o + o = a. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h + 24*a - 23*a + 7, 0 = 3*h + 2*a - 16. Calculate the smallest common multiple of h and 16\/(-5)*665\/(-38).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -404 - -2?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**3 + 48*i**2 + 47*i + 100. Let f be y(49). Determine s so that -9\/2 - 15\/4*s - 21\/4*s**3 - 15\/4*s**4 + 69\/4*s**f = 0.\nAnswer: -3, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w + 5*w - 3*w)*(105*w**2 + 412*w**2 - 1278*w**2).\nAnswer: -1522*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -465ee + -2?\nAnswer: -465f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:04 AM and 10:08 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that -125*z**5\/3 - 3235*z**4\/3 - 2745*z**3 + 1535*z**2\/3 + 11440*z\/3 - 460 = 0.\nAnswer: -23, -2, 3\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**3 + 20*b**2 - 6*b - 72. Give l(16).\nAnswer: 856","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*l + 2 + 0*l**2 - 12*l - 2*l**2 in the form g*l + q*l**2 + f and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0*2*2\/(-8). Suppose 0*h + 4*h + 16 = t. Let y be (8\/(-10))\/(28\/70). Put y, h, 2 in descending order.\nAnswer: 2, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the first derivative of -s**5\/5 + 33*s**4\/2 - 253*s**3\/3 + 156*s**2 - 124*s - 570. Determine m, given that l(m) = 0.\nAnswer: 1, 2, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14 + 7*b + 14 to w*b + x and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.3 and -0.06766.\nAnswer: -0.020298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -937480*j**3*n**2 - 2*j**3 - 42*n**2 - 118*n - 829 wrt j?\nAnswer: -2812440*j**2*n**2 - 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, v: 19}. Give prob of sequence dv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = -0*u - 848. Let h be 1\/(2\/4) - 4. Is 3*h*u\/(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y - 126 = -2*a + 5*a, -1254*y + 1249*y - 399 = 9*a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -83.9836 less than 1780870.3?\nAnswer: 1780954.2836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 0 = -6*z + 10, 19*m = 2*z - 713 for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -163*b + 53*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zypypprpprppry. Give prob of picking 1 r, 2 p, and 1 y.\nAnswer: 27\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15 or -207?\nAnswer: -207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*m = 15*m - 12. Suppose -7*i = -m*i - 60. Calculate the smallest common multiple of i and 27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -41 - -47. Let r(h) = -5*h**4 - 2*h**2 + 3. Let g(f) = -30*f**4 - 11*f**2 + 17. Let i(j) = x*g(j) - 34*r(j). What is the third derivative of i(s) wrt s?\nAnswer: -240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2\/19, 2\/9, 9, 4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 + 0. Suppose -4*o + 6 = z*l - 10, -3*l = o - 2. Suppose -394 = 4*u + o*m - 1301, u + 5*m = 238. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4408 and 559716820?\nAnswer: 2204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -2*k. Let n(p) = -55*p + 1. Determine d(n(v)).\nAnswer: 110*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.43 * 0.1.\nAnswer: -0.043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7209 divided by 11?\nAnswer: 7209\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a gram in milligrams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 18*n**3 - 7*n + 20. Let t = 2 - -1. Let w(k) = -40*k - 10 + 43*k + 19*k**2 - 9*k**3 - 19*k**2. Let u(x) = t*a(x) + 7*w(x). Differentiate u(h) wrt h.\nAnswer: -27*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m - m - 3*j - 427, -3*j + 2207 = 5*m. List the prime factors of ((-8)\/(-10))\/(1 - m\/440).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*n**2 - 1 + 1 + 0*n + 8*n**2 + 0*n + (-2*n**2 - 23*n + 23*n)*(0 + 2 - 1).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1808810275 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 3 = -13 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 119280 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*r + 39 + 24. Suppose 3*q - 41 = 3*j + 85, j = 2*q - 87. Calculate the greatest common factor of q and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 154, 135, 88, 1, -138, -341?\n\"Answer: -2*f**3 - 2*f**2 + f + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -7968 - 23341*t**2 + 15950 - 7982 in the form i + h*t + c*t**2 and give c.\nAnswer: -23341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2861 + -2857. Let q = 2 + 1. Solve q*x**3 + 3\/2*x**k - 9\/2*x**2 + 6 - 6*x = 0 for x.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-172)\/(-344)*0\/(-1)*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -134*d - 2. Let k(c) = -1405*c - 2. Calculate b(k(u)).\nAnswer: 188270*u + 266","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the first derivative of -b**7\/1960 - b**6\/210 - b**5\/56 - b**4\/28 + 5*b**3\/3 + 6. Let s(h) be the third derivative of y(h). Factor s(m).\nAnswer: -3*(m + 1)**2*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**2 + 4263495*x + 4263494.\nAnswer: (x + 1)*(x + 4263494)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - 2 - (-1 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-11)\/(((s*s**(-1\/16))\/s*s)\/s*s)*(s*s\/(s*s**(1\/16)\/s))\/(s**(-9)*s) assuming s is positive.\nAnswer: s**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*m - m + 45 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 + 18907 + 5 + 2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -123 + 1003044?\nAnswer: 1002721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -28741\/276 > -104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1645 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1596586500?\nAnswer: 2, 3, 5, 197, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -16  (b) 3\/4  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 771*-0.388.\nAnswer: -299.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 24 divided by 45\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3674761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 9*h + 16 = 0. Let r be 4 + -2 + h + 7. Solve 4*u = r*p - 10, 2*p - 2*u + 0 = 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 50809*a**4*v**3 + 5*a**4 - 1187560*v**3 wrt a?\nAnswer: 203236*a**3*v**3 + 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeeeeererer. What is prob of sequence rr?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -84*i - 7558. Give v(-90).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(720)*-2 + -1 + -2)*-6.\nAnswer: 18 + 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-92 - -96 - (1 - 1)) + 82 + 11 + 9?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -3291, -3, 1, 17 in decreasing order.\nAnswer: 17, 8, 1, -3, -3291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 + 5 + z**2)*(0 - 1 - 1) + 0*z**2 - 3*z**2 + 4*z**2 + (-23 - 4*z + 23)*(-2*z + z + 0*z) as w + h*z**2 + u*z and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -35, -17, 1, 19, 37?\n\"Answer: 18*w - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 4 - h + 8*h**3 - h - 16*h**3 - 2*h**2 + 9*h**3. Calculate c(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 1704*q - 48 + 21 - 5 + 0 - 377*q. Is f(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -18867\/800 or -25?\nAnswer: -18867\/800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -341994, -1367961, -3077910, -5471847, -8549778, -12311709?\n\"Answer: -b**3 - 341985*b**2 - 5*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -1135*i**2 - 4. Let o(t) = 9866*t. Determine u(o(v)).\nAnswer: -110478580060*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 5*v - 1. Suppose -n - 3 = -1. Let b(s) = 11*s - 3. Let u(i) = n*b(i) + 5*c(i). What is the derivative of u(l) wrt l?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - (5 + (-4 + -5 - 1)) - 41?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lkgvlqlgvglllvgl. Give prob of sequence glgl.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 55372 is divided by 9228?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -79230.5298 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 8\/(-32) + (-138)\/(-8). Let x = a + -14. Let n(g) = g**2 - g - 2. Determine n(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 4, 59, 1, 0.4, -2\/7?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 2*y**3 - y**2 + 2*y - 1. Let o be c(1). Suppose -o*l - 2*l = 0. Suppose t - 9 - 9 = l. What is the greatest common factor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 - -4. Differentiate 1 - i + 0 - 4*g - 3 wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u**3\/3 - 2878*u**2\/9 + 50144*u\/3 - 24992\/9 = 0. What is u?\nAnswer: -284, 1\/6, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 73460983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9809 is divided by 1647?\nAnswer: 1574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 141 = 5*r - 0*r, -3*r + m = -93. Suppose 4*d + 21 = 5, -r = -2*k + 4*d. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 14644140 and 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**3 - 6*l**2 + 7*l - 5. Let d be n(5). Let s be ((-12)\/30 - 2\/(-5))\/(-3). Suppose s = 14*b - 644 + 252. Solve 3 - b = -d*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 227592 - -3721018?\nAnswer: 3948610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.629, 4, -2\/7, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -1854*x**3 + 11*x**2 - 7*x - 8. Let s be f(-8). What is s rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20 and 411022?\nAnswer: 4110220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3*o**4 - 2*o**3 + 584689*o - 4335371 wrt o.\nAnswer: -12*o**3 - 6*o**2 + 584689","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 198 is divided by 102?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y + 3 - 7. Suppose 3*d - 2*d - 5*p = 19, -y*p = -3*d + 13. Let x(j) = 10*j + 4. Let h(z) = 19*z + 7. Let r(k) = 3*h(k) - 5*x(k). Give r(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -9*u**2 + 89*u - 5. Let j(v) = 5*v**2 - 44*v + 3. Give -5*j(n) - 3*x(n).\nAnswer: 2*n**2 - 47*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2 + (5 - 3) - -17. Let u = 15 - h. What are the prime factors of u\/(-5) + 612\/20?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24199 is divided by 3023?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 229 - -4 - (0 + 1). Suppose -u = 2*m + 2*m. Let p = 94 + m. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in fifty-four fifths of a millennium?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-6*5\/(-45))\/(4\/12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20 - (66 - 38)) + 37.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 11\/4  (b) -0.5  (c) 5\/2  (d) -0.9  (e) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7079.823 litres?\nAnswer: 7079823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**3 + 125*g**2 - 106*g - 28686. What is l(-124)?\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -28\/151  (b) -2  (c) 0.2  (d) 0.04  (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 13*u - 102. Let f be r(8). Suppose 4*m = -x - 1, -4*m + 2*x + 2 = -f*m. Solve m = 3*s - 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*o**3 + 3*o**3 + 3 + 0*o**3)*(0 - 1 + 3).\nAnswer: -2*o**3 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -450, -2, 389 in increasing order.\nAnswer: -450, -2, 389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 255\/302 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*r - 24 = 4*r + 3*w, w = -4*r + 8. Solve 0 = -2*n - r - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*m - 7*m = 94. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5934810 divided by -7185.\nAnswer: -826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -119 - 6?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**2 + 7*x + 4. Let s be n(-7). Let b(m) be the third derivative of -m**6\/120 + m**5\/12 - m**4\/12 + m**2. Determine b(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 + -30 - (-68 + 38 + 29)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -2*p**2 + 2*p + 2. Let z(i) = i**2 + 6*i + 3. Let h(a) = -a**2 - a. Let x(s) = -3*h(s) - z(s). Let j be (-1)\/(0 - (-3)\/15). What is j*k(b) - 4*x(b)?\nAnswer: 2*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -5, -1, -226 in decreasing order.\nAnswer: 2, -1, -5, -226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 609 and 357.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 3*w + 10 = -b, b = -2*w + 9. Suppose 9 = -3*a - 4*g - b, -5*a + 4 = -g. Solve -4*s = -a*s - 3*d + 6, 11 = -3*s - d for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1258 + 212. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-16))\/(-7 - (-473)\/66)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4296 and 537?\nAnswer: 4296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + (-85 + 132 - -18)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1999 + -1958 + (-1 - 46)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 23*y + 2*y - 2*y**4 + 6*y + 39*y**3 - 41*y**3 - 1 to a + n*y**4 + h*y**2 + w*y + x*y**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the third derivative of -h**6\/60 - 7*h**5\/60 - h**4\/24 - 5*h**3\/6 + 33*h**2. Let g(n) = n**3 + n**2 + 1. Determine a(t) + 5*g(t).\nAnswer: 3*t**3 - 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21955539*i - 21955539*i + 6*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 0*h = 4. Let c be 5\/(-10) + (-17)\/h. Let n be 1\/(-2)*(-3 + -13). Calculate the greatest common factor of c and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-270)\/(-30)*(-20)\/15*159\/(-2332).\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23890 - 12069 + 398*k**2 - 11823.\nAnswer: 398*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 p when two letters picked without replacement from pnnpnpnnnnnpnn?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 921394 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26942 is divided by 278.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**2 + 6*r + 33. Let j be c(-6). Let g = j - 25. Suppose g - 14 = -6*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 9 = -z. Suppose -21 = -4*d + 5*q, 2*q - 21 = -z*d + 12. What are the prime factors of 6\/(-27) - (-119)\/d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 453412 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*w + 2*w + 5*w**2 + (1 + 3 - 1)*(2*w**2 - w**2 + 3*w**2) + 2 - w**2 - 2.\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 11*r**3 + 2*r**2 - 3*r + 2. Let z(g) = 23*g**3 + 4*g**2 - 5*g + 3. Let x(m) = -5*j(m) + 3*z(m). Calculate the remainder when 42 is divided by x(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**3 - 19*y**2 + 146*y - 452. Calculate o(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - 4) + (-7 - -8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 29 and 12151?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + m + 5*o + 52 = 0, 2*o = -5*m - 48. Let z(f) = -3*f**2 - 15*f + 2. Let l(n) = -2*n**2 - 10*n + 1. Let v(q) = m*l(q) + 5*z(q). Determine v(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -285*p = 14 + 1195 + 2211 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0 - 1)\/((-9)\/(-81)). Let n = 2 + k. Let l be (-15)\/25 - 59\/10. Which is smaller: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1845 and 105657?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -15323901*u**5 - 3524*u**2 + 13*u + 21.\nAnswer: -919434060*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -2\/9, 0.1326, 2\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is a in a**4\/4 - 1617*a**3\/4 - 35983*a**2\/4 - 122871*a\/4 - 44253\/2 = 0?\nAnswer: -18, -3, -1, 1639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**3\/2 - 27599*v**2\/2 - 1160481*v\/2 - 12189681\/2.\nAnswer: (v - 27641)*(v + 21)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(1\/8))**(9\/7) assuming v is positive.\nAnswer: v**(9\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -14399 divided by -119\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16920 = 611*h + 34404 - 16873 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + w - 652 = 0, 0 = w + w. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b - 2*b + 4*b)*((2093 - 2093 - 339*b)*(1 - 2*b - 1) + 4*b**2 - b**2 - b**2)*(-21*b + 9 - 9).\nAnswer: -14280*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 32 = 7*h. What is the smallest common multiple of h and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -27*k**2 - 21*k + 126. Let b be c(13). Round b to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, -0.4, -1, -1\/2, 2\/705 in decreasing order.\nAnswer: 0.4, 2\/705, -0.4, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -11715 divided by -6?\nAnswer: 3905\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/((-2)\/10 - 42\/(-35)). What is the biggest value in -1, -5, b, -2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-15)\/3 - (-1 - 4) - 6\/(-9). Which is the closest to 51?  (a) -86  (b) 5\/3  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 5, 3\/7, -817\/23?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/((-54)\/314) + 39\/15*(-758 + 763).\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from {n: 2, o: 8}?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**5 + 354*h**4 + 20884*h**3 + 410404*h**2 - 20886*h - 410758.\nAnswer: 2*(h - 1)*(h + 1)*(h + 59)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 10*n - 138. Let p be r(16). Is p at most 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a millisecond in microseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n + 699 + 611. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -60 + 77. Let j(l) = 110*l**2 - 17*l + 17. Let b(p) = 37*p**2 - 6*p + 6. Let z(a) = k*b(a) - 6*j(a). Let s(i) = -2*i**2. What is s(z(w))?\nAnswer: -1922*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -4*k**2 - 5*k - 2. Suppose 35 = 35*p - 42*p. Suppose -8*t = 5*r - 3*t + 15, 0 = -r - 3*t - 1. Let i(f) = 3*f**2 + 4*f + 1. What is p*i(s) + r*d(s)?\nAnswer: s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -5*(-2)\/2 + (-30 - -2). Let c be -1 - 1\/(3\/57). Which is smaller: c or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111 + 111111?\nAnswer: 1000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7)\/2)\/(518\/(-2220))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*b = -4*i + 9*i + 36, -b + 60687*i - 60682*i = -9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3698 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 2 - 2)*(3*d + 0*d - 4*d)*(-34*d**2 + 64*d**2 - 23*d**2) to n*d**2 + q*d**3 + c*d + s and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 211430 (base 5) to base 7.\nAnswer: 26513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 264 (base 12) to base 10.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 165689 is divided by 40621?\nAnswer: 3205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3 + 1.7063965.\nAnswer: 1.4063965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 4052690773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 125 = -4*m - 291. Let u = -2 - m. Suppose f = a + u, 4*a = -4*f + f + 285. Calculate the highest common divisor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2*(8\/(-14))\/(10\/7). Sort -3\/4, 0, -0.5, z in descending order.\nAnswer: z, 0, -0.5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**2 - 4*z - 6. Let w be f(-4). Let a(n) = -7*n - 3. Let x(d) = 2 + 4*d + d - d. Suppose -1135 = 13*t - 1005. What is t*x(s) + w*a(s)?\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00020022088 to seven dps.\nAnswer: 0.0002002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 13) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 204 - 201. What is the greatest common factor of p and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -34, -70, -102, -130, -154, -174?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 55\/15 + 10*3\/90. What is the highest common divisor of 82 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-10)\/(-48)*(-115414)\/351325 and 67\/752.\nAnswer: 11280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvaaeveavvvaavvae. What is prob of sequence ve?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 171\/14 - 21\/2. Sort v, -10, -2\/11, 1, 0.4 in decreasing order.\nAnswer: v, 1, 0.4, -2\/11, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 4*t - 25 = 0. Let m be t\/(-100) - 49\/4. Find the common denominator of m\/(-54) + 352\/(-126) and 8\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 611, 636, 645, 632, 591, 516?\n\"Answer: -t**3 - 2*t**2 + 38*t + 576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -22.2 - -22. Let c = z - -4.2. Put c, -2, -1\/3, 8 in descending order.\nAnswer: 8, c, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11100 - -211122?\nAnswer: 222222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 22, -4\/193, 2\/9 in descending order.\nAnswer: 22, 2\/9, -4\/193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3281917 and 21719.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11 + 44. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 33508 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*1*sqrt(95)*-2)\/(sqrt(15)\/(sqrt(3)*1) + -1*(sqrt(5) - 1*sqrt(5))).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 11924*p - 3*p**5 - 2*p**2 - 11888*p + 3*p**5 - 56*p**6 wrt p?\nAnswer: -6720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 151 - 76 + 653985*k - 75.\nAnswer: 653985*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes after 1:19 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -110 by 3924.\nAnswer: -55\/1962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the third derivative of -7*f**4\/12 - 25*f**2 - 2. Let m(k) = k. Give m(l(q)).\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -4*i**2 - 39. Let p(k) = -2*k**2 - 19. Calculate 4*j(t) - 9*p(t).\nAnswer: 2*t**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.1, -0.2, 0, 4, -3\/5, -59 in ascending order.\nAnswer: -59, -1.1, -3\/5, -0.2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -52, -86, -120, -154, -188, -222?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -60 - -62. Put q, -0.11, 2\/15 in descending order.\nAnswer: q, 2\/15, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-34*6\/(-8))\/((-4850)\/11252 - 10\/145).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3229 + -1929. What is s rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1\/12)\/(15\/24))\/(8\/(-3)).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 265*l**2 + 12*l**3 + 260*l**2 - 525*l**2.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 221292 is divided by 44247?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7*a**2 - 19*a**5 + 21*a**5 - 55*a**2 + 14*a**3 wrt a.\nAnswer: 120*a**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes after 11:29 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 4*m**3 + 24*m**2 + 8*m - 181. Is j(20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 1480*f - 1461*f - 95. Let h(u) = 588*u**3 - 28*u**2 + 28*u - 28. Let k(v) = -107*v**3 + 5*v**2 - 5*v + 5. Give f*h(p) + 28*k(p).\nAnswer: -56*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4692 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 6*w**3 - 7*w**2 - 7*w + 6. Let s be p(14). What is s rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from oooooooooooi.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -9 + 13 - (3 + -3 - -1). Let w(v) = -v + 6. Let n be w(6). Let g be -2*7\/(-1) - n. Solve 0*m + g = -t*m + o, -5*o = -25 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 400*n**2 + 84*n + 530. What is the thousands digit of h(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-187)\/(-1122))\/((-21)\/18))\/1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-16)\/(-9) + 6\/27. Suppose 4*n - 5*k = -6 - 2, 5*k - w = n. Let t be (2*(-3)\/6)\/(-1). Which is the nearest to t?  (a) n  (b) -3\/4  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = -4*m + 4*d - 5, 3*m + 3*d - 15 = 0. Solve -s - m*b + 2*b = -4, 4*b = 5*s + 37 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 2*o - 856 = 0, 20*t + 5*o - 420 = 18*t. What is the third derivative of -2*y**5 + 22*y**5 + 86*y**2 - t*y**2 + y**4 + 47*y**5 wrt y?\nAnswer: 4020*y**2 + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**2 + 6*j - 6. Let y be w(4). Suppose 3*n + 2*n = -3*h + 47, -y*n + 5*h + 25 = 0. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:51 PM and 11:25 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 3 - 7 = 0. Let l be (-5 - -10)\/((8 - 6) + 1). Which is the nearest to g?  (a) -1  (b) l  (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3613, 3595, 3563, 3517, 3457, 3383?\nAnswer: 3295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(1 + 0 + 2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 11*j**2 - 3805*j + 7594. Calculate k(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*b - 1354 = 275. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3 - -17 - -2)*(-1)\/(-2). Suppose -9*t = r*t - 833. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 + 0. Which is greater: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 18632 and 12?\nAnswer: 55896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that -2*u**3\/3 - 12658*u**2 + 1423968*u - 119788928\/3 = 0.\nAnswer: -19099, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 1028 = -1031. Let r(n) = -114*n - 9. What are the prime factors of r(g)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:36 AM and 2:55 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -6*r - 3. Let j(x) = -7*x - 3. Let h(p) = 2*j(p) - 3*y(p). Let t(s) = -s. What is h(t(g))?\nAnswer: -4*g + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 50\/21 and -41\/22120.\nAnswer: 66360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 4, c: 4, g: 1}. Give prob of sequence ig.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let f be 6 + (0\/1 - 0). Suppose 24 = 4*i + 4*t, 2*i + f*t = t + 18. Suppose 5*z + 5 = -i*y, -4*z = -4*y + z + 45. Solve 25 = 5*g + y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*f - 297 = -12*f. Suppose 240 = 7*m - 2*m + 5*w, 2*m + 5*w - f = 0. Let b = -45 + m. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -90 - -94. Let x(z) = -2*z + q*z - 4*z + z. Let y(v) = 6*v**2 - 3. Give y(x(w)).\nAnswer: 6*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 83, 119, 45, 1\/3, -5, -3, 2\/5 in ascending order.\nAnswer: -5, -3, 1\/3, 2\/5, 45, 83, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z**2 + 54*z - 58. Suppose -2*o + 42 = -5*f + 3*f, f = 3*o - 63. Is d(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 218546536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16.95 - -16.89. Which is the closest to -3\/5?  (a) -4  (b) -1  (c) f  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 2*l - 3. Let q be p(6). Suppose -5*s - q + 14 = 0. Solve -2*h - 14 = -3*n + 4, 4*n + 5*h = s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -68.88589 - -11.43959. Let w = c - -57.4. Round w to three dps.\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 12\/(-5)*(0 + (-30)\/(-12)). Let u(h) = -2*h + 2. Let g(j) = -5*j + 5. Give a*g(k) + 14*u(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = 9*a - 7*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the third derivative of -1\/330*v**5 - 5*v**2 - 1\/1980*v**6 + 0*v - 2\/3*v**3 + 0 + 0*v**4. Let q(p) be the first derivative of j(p). Factor q(n).\nAnswer: -2*n*(n + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 7*j**2 + 3*j - 3. Suppose 0*p = 2*p - 8. Suppose -l - p + 1 = 0. Is s(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.030593+65.7\nAnswer: 65.669407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2860528?\nAnswer: 2, 11, 16253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((270\/(-105))\/9*(-14)\/202)\/(17\/17)?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 - -5. Let j be ((-12)\/(-14))\/((-5)\/35). Let z be 6\/16 - 0\/j. Which is the third smallest value?  (a) -2\/11  (b) u  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 - -10. Suppose -3*n = -w*n. Suppose 3*q + 1 - 7 = n. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-837)\/(-186) + (0 - 2))*(810\/(-325))\/9\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -241, -299, -407, -589, -869, -1271?\nAnswer: -1819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the second derivative of 5\/6*t**3 + 1\/20*t**5 + 0 - 4*t + 0*t**4 + 0*t**2. What is the second derivative of p(n) wrt n?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1*(-6)\/(-9))\/((-5)\/3)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1307*p**2 - 36*p - 37?\nAnswer: -2614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/53, -0.0389, 1 in descending order.\nAnswer: 1, 2\/53, -0.0389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 806*x**2 + 3 - 974*x**2.\nAnswer: -168*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 493564\nAnswer: -1\/123391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Are 1\/112756 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**3 - 3*b**2 - 4*b. Let v be s(-2). Let q be 6 + (v - 8) + 2. Suppose 2*k = q*k - 114. List the prime factors of k.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 + 0. Let b = -4 - h. Let x = -0.056 + -0.144. What is the closest to b in 1\/6, 5\/4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(17) + 4 - sqrt(17)) - (sqrt(1088) + -2)**2) + ((-2*sqrt(612) + sqrt(612))\/sqrt(12))\/(-4*sqrt(27)).\nAnswer: -1085 + 385*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2975342 divided by -43.\nAnswer: -69194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -863897390 to the nearest one million.\nAnswer: -864000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -3 + 15. What is the closest to 2 in u, -0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0046178024 to 5 decimal places.\nAnswer: -0.00462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -2*q - 0*d + 149, -3*d = 4*q - 293. Suppose 0 = 3*r - 2*r - 27. Calculate the remainder when q is divided by r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = 6 + 4. Let b be 1 - (-22494 - (-1 + o)). Suppose c - 22501 = -6*g + g, 4*c + b = 5*g. What is g rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u\/((u\/u**(-6))\/u)))**10*(u*((u*u\/(u*u\/(((u**(-31)\/u)\/u)\/u)*u*u*u*u))\/u)\/u*u)\/((u\/u**(10\/7)*u)\/u))**41 assuming u is positive.\nAnswer: u**(6437\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (15 - 37 + 18 - 2*q)*(13*q + 2*q - 6*q) to the form v*q**2 + p + a*q and give a.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3\/2*q**2 - 1\/2*q - 3\/2 + 1\/2*q**3.\nAnswer: (q - 1)*(q + 1)*(q + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 + 6. Suppose -4*n + 47 = -2*y + 1, n - u*y - 29 = 0. Suppose 34 + 44 = 3*r. Solve 5*t + c = -0*t - r, 0 = 2*t - c + n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-25))\/((-87)\/(108750\/(-7300)))?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1600 and 625.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.14 and 0.897827?\nAnswer: -0.12569578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(117)\/(sqrt(6)\/sqrt(2)))\/(sqrt(60)\/sqrt(5)))**2 - -1*(4*sqrt(1053)*1)**2.\nAnswer: 67405\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18915210?\nAnswer: 2, 3, 5, 210169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5389*p + 3*b + 20 = 5391*p, 3*p - 2*b - 20 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 34704 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -199307*f*k**4 + 11932*f*k**2 + 2*f*k + k**3 + 3*k**2 - k wrt k.\nAnswer: -4783368*f*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 140 and 37940.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -41796*j**5 - 127*j - 11.\nAnswer: -835920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ga when two letters picked without replacement from chagcccshssw?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**2 - 21*j - 5. Let b be m(21). Let f be (-3)\/(-9) - b\/3. Solve -6 = -k - f*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56658047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/2717, -4.96, -1 in decreasing order.\nAnswer: -2\/2717, -1, -4.96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 566.6 + -511. Let s = -62 + d. What is s rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.071 + 0.029. What is the closest to o in -13, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 494.22 rounded to the nearest 10?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1438 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2, 6, 0.067, -2\/5, -1\/49 in increasing order.\nAnswer: -2, -2\/5, -1\/49, 0.067, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-54))\/((-11)\/((-242)\/11))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 2\/105, 2\/13, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, k: 2, p: 6, s: 2, v: 4}. Give prob of sequence pwp.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Do 0.3866 and -93789 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.065 + -28.065. Let g = -26.375 - h. Let k = 0.105 + g. Round k to 1 dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4*(-4)\/(-2) + 3 + -5. Suppose 2*p + 2*a = -i, -p + 26 = -3*p + 3*a. Let f be 0 + (-80)\/p + (-3)\/7. Sort 4, f, -3 in increasing order.\nAnswer: -3, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -15*q. Let k be x(-1). Let b be k\/2*(-12)\/(-10). Let t be (-12)\/b*(-3)\/2. Solve -t*r - 16 = 4*s, 2*s - 3*s - 5 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10110001110111111101 (base 2) to base 8.\nAnswer: -2616775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 6780145937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*c + 8*c = 2*n - 2127, -5*c + 10650 = -5*n. Suppose 5*s + 2*v - c = 0, 3*s + 4*v - 330 = 953. What are the prime factors of s?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*j*p**4 + 387*j*p**2 - j + 2*p**4 - 101*p + 5 wrt p?\nAnswer: 24*j*p**2 + 774*j + 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 22.8 - 22.9. Which is the second biggest value?  (a) -0.017  (b) m  (c) 1\/6  (d) 1  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -3, 62 in descending order.\nAnswer: 62, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1170540 and 1440?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 832512 is divided by 75682.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11 + -9. Suppose -5*z + 20400199 = -l*c, 0 = -0*c + 3*c - 9. Suppose z = -2*p + 480041. Round p to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*q - 167 = 58. Let l = q + 31. What is the lowest common multiple of l and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**3 + 70*a**2 - 44*a - 31. Let g be r(69). Calculate the highest common divisor of g and 1331.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 2*q + 7*q**2 + 6*q**2 + 12*q**2 + 2. What is the remainder when i(-2) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the second derivative of 5*q**3\/2 - 16*q. Let d(r) = r**2. What is g(d(z))?\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 1513662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (51\/12 - 1)*(-4)\/(-1). Is (p\/26)\/(-2 - (-69706)\/34852) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**3 + 9*o**2 - 10*o. Let g be f(-10). Suppose -q = -g*q - 22. Suppose 0 = 3*u - q - 23. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7848 divided by 7848.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -369246400 rounded to the nearest 1000000?\nAnswer: -369000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (246*a - 148*a - 281*a)*(6 - 76 - 13)*(-2 - 2 + 3) to u*a + f and give u.\nAnswer: -15189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 70ffeb (base 16) to base 6.\nAnswer: 422420535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3681 + 3682. Is 2\/16413 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s + 1. Suppose f = 2 + 3. Let o = -49 - -55. Let q(r) = -f - r**2 - 8 + 8*r + o. Give q(v) + 5*z(v).\nAnswer: -v**2 + 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 2*x - 7 = -x, -10 = -5*x. Let i be ((-1)\/(-3))\/((-1)\/(-3)). Suppose -4*m + 12 = -0*m. Put m, i, n in ascending order.\nAnswer: n, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 416\/(-6) + -1 + (-18)\/27. Let h = t + 71. Let v(m) = -m - 4. What is v(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -2*i. Let t(g) = -147*g**2 - 15*g + 5. Let s(r) = 440*r**2 + 48*r - 16. Let w(u) = -5*s(u) - 16*t(u). Calculate o(w(l)).\nAnswer: -304*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Are -32914329 and -32914329 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5171, 20708, 46601, 82850?\nAnswer: 129455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r = -3*y - 28, -2*y = 1320*r - 1318*r + 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -119 + 115.48. Let d = p - 1.48. What is the nearest to -4 in -1\/3, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 2 = -4*p. Suppose 2*v - 3*v + 65 = -2*j, -2*v + 5*j = -133. Let x = 56 - v. Sort x, -7, p in ascending order.\nAnswer: -7, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6620135.\nAnswer: 5, 827, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -435*b + 106480 = 67330 for b.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 0*f + f - 697 = 0, -1738 = -5*t - 4*f. Suppose -t = -5*h - 9*h. Suppose -18*a**3 + 53*a**3 - 90*a**2 - 13 + h*a + 43 = 0. What is a?\nAnswer: -3\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3402 + 3406. Solve s*f = -5*f - 27 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-762*t**2 + 3921*t - 3921*t)*(-4*t**3 - 6*t**3 + 4*t**3).\nAnswer: 4572*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of a**2*t*v - 12*a**2*v - 2*a*t**2*v - 27*t**2*v - 301*t**2 + v wrt a.\nAnswer: 2*a*t*v - 24*a*v - 2*t**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -78322, -156663, -235004?\n\"Answer: -78341*u + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 74*t - 40*t = 4216. What is the lowest common multiple of 9 and t?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -21, 1, -107, 0, -8 in increasing order.\nAnswer: -107, -21, -8, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 42678938 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0352769167 rounded to 5 dps?\nAnswer: 0.03528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the second derivative of -701*f**5\/20 - 19*f**3\/3 + 3*f**2\/2 - 16*f - 10. What is the second derivative of s(i) wrt i?\nAnswer: -4206*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -257688\/89 or -2895?\nAnswer: -2895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 674.6826 meters to kilometers.\nAnswer: 0.6746826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -113\/157 in 0.5, 0.2, 8, 2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16 - 12 - 230*k + 218*k.\nAnswer: -12*k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 2*m**5 + 10*m**4 + 6*m**3 - 18*m**2 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-10)*1)\/((-605)\/275)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/22*132\/(-48).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the second derivative of -c**4\/12 + 4*c**3 + 37*c**2\/2 + 2*c + 11. Calculate the remainder when 50 is divided by j(25).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/23  (b) 100  (c) -0.1  (d) 1.7  (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 283*v**2 - 15 - 186*v**2 - 15 - 7 as t + w*v + a*v**2 and give t.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1691*s + 719 - 25217 + 520 = 23370 for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/25 of a centimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the second derivative of -x**8\/1120 + x**5\/20 + x**4\/4 - 7*x. Let z(a) be the third derivative of d(a). What is the first derivative of z(r) wrt r?\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is f in 14*f**5\/5 + 6278*f**4\/5 + 8806*f**3\/5 - 59846*f**2\/5 + 23292*f\/5 + 21456\/5 = 0?\nAnswer: -447, -4, -3\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -57*-1.4.\nAnswer: 79.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -32*b**6 + 6*b**4 + 2*b**2 + 3344*b + 3 wrt b.\nAnswer: -3840*b**3 + 144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**3 + 30*q**2 - 55*q - 1610. What is p(-31)?\nAnswer: -866","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 8*q**3 - q**2 + 3*q. Let c(m) = 7*m**3 + 2*m + 1. Let h(j) = -7*c(j) + 6*u(j). Let p(z) = -3*z + 11. Let w = 1 - -5. Let d be p(w). Determine h(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5860 - -5872. Calculate the greatest common factor of 708 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) 0.3  (c) -283.89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.240849 from 586.43.\nAnswer: 586.189151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14754 + -14762 - (19 - 1)) + 0 + (0 - -1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes after 6:06 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 4*r**3 - 1 + 15*r**3 - 13*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*v + 1087 - 121. List the prime factors of v.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4.507 - -0.223. Round k to one decimal place.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 199996?\nAnswer: 2, 49999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 3, p: 17}. Give prob of sequence phph.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1333260 + -0.851157.\nAnswer: -1333260.851157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*z - 6*z - 273 = 0. List the prime factors of 14\/z - (1 + 1184\/(-6)).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 q, and 2 s when four letters picked without replacement from pppssqupsupqqupz.\nAnswer: 27\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 519455 divided by 4?\nAnswer: 519455\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001922 to 4 decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -10149 * -688.\nAnswer: 6982512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44255.\nAnswer: 5, 53, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 48 + (-3)\/4 + 45\/(-20). Suppose 6*y + 9 - s = 0. Let t be (y*(-4)\/(-9))\/(5\/15). Solve 4*r = t + 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w = -w + 4*s + 830, 3*w = -4*s + 2554. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w - 3*s + 299 - 297, -5*s = -2*w - 7. Let d(b) be the first derivative of -b + 2 + 7\/3*b**3 + 0*b**2. Determine d(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 5*x**2 + 23*x + 22. Does 13 divide z(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*((-16)\/28)\/(6\/63)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 482 and 28696834?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and -11749.\nAnswer: 5874.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 2*f**2 - 4 + 34*f - 78*f + 42*f. Calculate q(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -128 - 46 = 136*p + 98 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-58)\/12 + 23\/(-138). Does 12 divide 2*26*l\/((-30)\/18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:09 AM and 7:12 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -11*i + 6. What is the remainder when k(-3) is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 76\/10 - (-6 + (-28)\/(-5)). Suppose -4*m + 12 = -j, 3*m = -4*v + 615. Let s = -40 + v. List the prime factors of s.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11111 + -100011001110001?\nAnswer: -100011010010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 - 4. Let g(m) = m**3 + 6*m**2 + 6*m + 4. Suppose 5 = -l + 2*d - 3*d, -2 = 2*d. Let v be g(l). Which is the closest to v?  (a) 1  (b) 0.3  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21 - 29*m + 32 - 38*m - 10 + 18*m.\nAnswer: -49*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(16)\/((sqrt(8) + 1*sqrt(8) - sqrt(8))*4))**2*-3.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*q**3 + 0*q**3 + 2*q**3)*(q - 2*q - q) + q + 2*q**4 - q + (2*q**3 - q**3 + q**3)*(-3*q + 2*q + 2*q) + (-q**2 + 4*q**2 - q**2)*(q**2 - q + q).\nAnswer: 10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.11719026 and -140?\nAnswer: -16.4066364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-24 - 154 - 3 - 367 - 432)*(4*w + 3*w**2 - 4*w) to o*w + q + x*w**2 and give x.\nAnswer: -2940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (-3 + -3*(3 + sqrt(2299)) - (5 + sqrt(2299) + 1 + 5 + sqrt(2299) + sqrt(2299))) + 0)**2.\nAnswer: 2508*sqrt(19) + 83125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 120 + -96. Solve 3*q + z - 24 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 10 = 1, -4*d + 22 = 2*p. Calculate the greatest common factor of 115 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes after 9:59 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*v = 61*v - 52258. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 61 - (113 + -61) - (3 + 0 + -79 + -3)\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/2 at most as big as 61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30511800.\nAnswer: 2, 3, 5, 11, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 32*c**2 - 4*c**4 + 2*c**4 - 18*c**2 - 19*c**2 wrt c?\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p**2 + 147 - 71 - 74)*((-1 + 3 + 0)*(2 - p**3 - 2) - p**2 + p**2 + p**3).\nAnswer: 2*p**5 - 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2146 - 2150. Let i(y) = y**3 + 5*y**2 + y - 9. Give i(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**3 - 12*l**2 + l + 16. Let a be b(-12). Let g = a + -12. Let d be (-1510)\/(-40) - 2\/g. What is the highest common factor of 19 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(102)\/(sqrt(18)\/sqrt(3)*6) + 3.\nAnswer: sqrt(17)\/6 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 25*d**2\/3 - 7765*d\/3 - 75200\/3.\nAnswer: 5*(d - 320)*(5*d + 47)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 4437.38383 to 0 decimal places.\nAnswer: 4437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 469 - 287. Suppose -4*k = -y - 942. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**2 + 4*i + 7. Suppose -2*d - 2 = -2*m, 0*d = 5*m + 2*d + 9. What is the remainder when 3 + -2 - 3\/m is divided by h(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3)\/7 + (-1100)\/(-35) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 232 and 58304500.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4809 is divided by 489?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes before 5:25 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3.2 + 3. Let v = -5 - 0. Let p = v + 5.1. What is the nearest to p in -2, -1\/2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 146123, 146246, 146455, 146750?\nAnswer: 147131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 2*j**2 + 7. Suppose 0 = 5*h + 4*d - 11 - 18, 3*d = 2*h - 30. Let s(u) = -3 + h - u - 6. Calculate s(r(t)).\nAnswer: -2*t**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6417146\/7 - -918408. Let u = 1676 - m. Solve 4\/7*j - 8\/7*j**4 - 10\/7*j**2 - u*j**3 + 0 = 0.\nAnswer: -2, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1027596 to the power of 1\/2, to the nearest integer?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -1374*o**3 + o**2 + 5*o - 6. Let r be a(1). Put -2, r, 1\/8 in decreasing order.\nAnswer: 1\/8, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-24)\/(-20)*(-10)\/(-4). Let s be (4\/(-10))\/(y - 124\/40). Suppose s*d + 2*v = 74, 9*v - 4*v + 25 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:54 AM and 4:01 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 361 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z + 11 = -s, 7 = -3*z - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes before 9:22 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**2 - 15*c + 4. Let n(s) = s**2 - s + 1. What is 3*n(b) - o(b)?\nAnswer: 2*b**2 + 12*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b - 6. Suppose -4 = -k + 2*p, 4*k - 2*p = -3*p + 16. Let d(h) = 2*h + 11. Determine k*d(v) + 7*q(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(65) + (sqrt(65)*1 - sqrt(65))*1)\/(2*sqrt(80) + sqrt(80)).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 223 - -21. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + d + 140 = -66, -3*d - 826 = -4*r. Suppose 0 = 2*k + 6*k - r. What is the remainder when 127 is divided by k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, g: 11}. Give prob of picking 3 g.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**3 - 11*h**2 - 5. Let s be a(11). Let n = 6 + s. Solve -5*t - 15 = 5*p, 0 = -3*p + 6*t - t - n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -595 - -3b40?\nAnswer: 359a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 346844679 and 80130?\nAnswer: 346764549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 219429.\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 6\/25 of a millennium?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 719 and 1434681815.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**25\/k**(1\/20))\/(k**(-9))**3 assuming k is positive.\nAnswer: k**(1039\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 86581677 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1089 + -302. What are the prime factors of p?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 60 and 273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 596 - 596 - 25130*j**2 + 25135*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -5*o + 33. Give z(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 301 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, 0, 1, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 640 and 27920?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2679*p*r**3 + 102*p + 3*r**3 + 41*r**2 wrt r.\nAnswer: 16074*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the second derivative of 13*m**5\/20 + m**4\/12 + m**3\/6 - m**2\/2 + 25*m. Give l(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 78469289 to the power of 1\/4, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: What is 2246172 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**3 + 7*h**2 + 4. Suppose 2*j = f - 3 - 9, 5*j - 3*f + 29 = 0. Let g be b(j). Solve 0 = -5*w - 4*l - 11, -w = -g*l + l + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*z - 1 + 1)*(-9 - z**3 + 2*z**2 + 4*z**3 + 10) to u + n*z**2 + j*z + w*z**3 + h*z**4 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 5*a**2 - 371*a + 76. Let m be n(74). Solve -f - 4*o + 2 = -5*o, m*f - 3*o - 5 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m = 3*u + 2, 2*m - 9*u = -1 - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**3 + 6*s**2 - 7*s + 2. Calculate the smallest common multiple of d(4) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:44 AM and 11:43 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -73131 divided by 257.\nAnswer: -73131\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -3317 divided by 8787\nAnswer: -3317\/8787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -46.98 - -50.98. What is the closest to -1.3 in -2, -8\/7, y?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 87.8589 millilitres in litres?\nAnswer: 0.0878589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -735030 at most -735030?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 4*w. Let o(d) = -4*d. Let k(t) = 6*o(t) + 7*x(t). Let c(z) = 14*z**2. Calculate k(c(b)).\nAnswer: 56*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 439 a factor of 4088846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3 - 5. Let u = -5\/14 - -139\/7. Is b at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 11\/9, -2, 6?\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 7\/8 of a centimeter?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 40*a + 3332. Give b(-83).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -185 + 38*j**3 + 14*j**3 + 93 + 92.\nAnswer: 52*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*n - 16 = -4*n. Let m(t) = -t**3 - 4*t**2 - t + 7. Let s be m(n). Calculate the highest common divisor of s and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -15*l**2 + 653*l - 5204. What is m(33)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(98) - (-3 + sqrt(98) + 0 - sqrt(98)) - sqrt(98)*-2*-3))**2*1 + 0.\nAnswer: 140*sqrt(2) + 2454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/3944 and 99\/184.\nAnswer: 90712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 58 + -112 - (-52 + 14)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -96.2 - -95.8. Which is the second smallest value?  (a) -1\/12  (b) w  (c) 1\/5  (d) 3\/13  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*f**3 + 217*f**2 - 217*f**2 - 43 - 25 as d*f**3 + q + h*f + a*f**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q - 3*g = -9, -4*g + 9 = q - g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 8*b - 8736. Let c be (10\/(-4))\/(91\/b)*-28. Round c to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66 = -8*j + 178. Suppose j = p - 156. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*x + 26*x - 15 = 0. Suppose 5*l + x*p + p = 8964, 4*l = 2*p + 7166. What are the prime factors of (-40)\/(-260) - l\/(-13)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -p**3 + p**3 + p**5 + (p**3 + 2*p**3 - 2*p**3)*(p**2 - p**2 + p**2) + 1535*p + 1525*p - 3046*p - 9*p**4 - p**5.\nAnswer: p**5 - 9*p**4 + 14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 660129848 and 28?\nAnswer: 660129848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 2*b**2 + 7*b + 2. Suppose -63 + 208 = -5*r. Let u = 22 + r. List the prime factors of l(u).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 240\/192*(-2)\/10.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1242 (base 6) to base 7\nAnswer: -626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 5 + (0 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 525895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 507 - 502. Solve b*i - 4*g = 0, g + 7 = -0*i + 3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-372)\/(-2945))\/((168\/35)\/12).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 2.86  (b) 2\/5  (c) -2\/3  (d) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2853.3982 rounded to the nearest 100?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1100) + 4 + (sqrt(1100) - (sqrt(1100) + 4)) - (sqrt(275) + 0 + 1))**2.\nAnswer: -10*sqrt(11) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from emekkeemeemueeeem. Give prob of sequence mmmu.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x + 1. Let w be d(3). Let h be (-2)\/3*(-30)\/(-4). Let a be 2\/w + (0\/h - -158). What is a rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2668 and 20.\nAnswer: 13340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 3, x: 1, m: 2, v: 4, w: 4}. What is prob of sequence wwmx?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-39)\/(-12) - (-9)\/12. Suppose -4*f + 1756 = -h, 335 + 561 = 2*f + u*h. Let g = f - 283. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58210 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -86*p + 14. Let g be h(-3). Suppose -g*q + 267*q = -25. What is the closest to 1 in 2\/3, q, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*y - 3 + 2 + 2*y)*(864 - 1252 + 628).\nAnswer: -480*y - 240","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 87117305503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -185*m + 189*m - 59, 6*j + 3*m + 300 = 0. Put 21, 0, 4, -5, j in increasing order.\nAnswer: j, -5, 0, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v + 18. Let d be b(-6). Suppose -d*m + 60 = -8*m. Suppose -m = 3*f - 5*f + 5*c, 4*f - 3*c = 23. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 3)\/((-69)\/(-12) + (-3)\/6).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (11 + (-4 - -3))\/1. Let k be (1 + 3)*q\/8. Solve 1 = k*o - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8311 - 8312. Which is smaller: 2\/4199 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -128 - -125.45. Let r = -7.6 + 9. Let g = x + r. What is g rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the first derivative of -3*a**4\/5 - 219*a**3\/5 - 1107*a**2\/10 + 318*a\/5 - 11418. Let l(q) = 0. Calculate q.\nAnswer: -53, -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0*(10\/4)\/(4\/((-12)\/15))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1001100111100101000101 (base 2) to base 11\nAnswer: 1472414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) 0  (c) -406.96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + -28 - (-63 - -50).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((((i*i**(-1\/5))\/i)\/i)**42)**(32\/7))**(5\/3))**40 assuming i is positive.\nAnswer: i**(-15360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 41, 665, 2 in increasing order.\nAnswer: 2, 41, 665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10 + -6. Suppose 5*d = -0*d - 15, t*b - 287 = -3*d. Suppose 7 + b = 3*l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 minutes after 8:42 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*b*u**3 - 187*b*u - u**4 + 70488*u**3 - 895*u**2 wrt u?\nAnswer: -12*b - 24*u + 422928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 69.5541 - -252334069?\nAnswer: 252334138.5541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2244 - 576 - 578 - 559 + 373*l - 531.\nAnswer: 373*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 735 is divided by 96.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*u**3 + 2*u - 3 + 36*u**2 - 35*u**2 + 2*u**4 - 3*u**3 + 2 as w + s*u**4 + h*u + t*u**3 + d*u**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 33 (base 16) to base 7\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y**2 - 4*y**2 + 5*y**2)*(-2*y**3 - 10*y**3 + 4*y**2 - 6*y**2).\nAnswer: 24*y**5 + 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 202 is divided by 63*(-7)\/(-49) + 43.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**3 - 3. Let t(l) = -3*l**3 - 5*l**2 - 5*l. Let o(j) = j**3 + j**2 + j + 1. Let i(m) = 5*o(m) + t(m). Suppose -38 + 59 = 3*b. Give b*c(h) + 4*i(h).\nAnswer: h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 313 - 182. What is the second derivative of 103*r - 1 + 0 + m*r + 1 + r**5 wrt r?\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (4 + 1 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s + 4*p = s + 423, 20 = 4*p. Let w = s - -670. Calculate the highest common divisor of 178 and w.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pec when three letters picked without replacement from pcefcwye.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-3*sqrt(350))\/((sqrt(2) + sqrt(300)\/sqrt(6))*3).\nAnswer: 5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2 - -2cb9?\nAnswer: 2cbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -11*j**3 - 24*j**2 - 12*j + 17. Let d(l) = 4*l**3 + 8*l**2 + 4*l - 6. Let h(o) = -8*d(o) - 3*t(o). Let r = -4 + -3. List the prime factors of h(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = -2*z + 28. Suppose -5*j = -0*j + 165. Let c = j - -57. What is the highest common factor of z and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (-8 + (0 - -5)) - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 - 2*y**4 - 1 + 1 - 2*y**4 + (-2*y**3 - y**3 + 2*y**3)*(-y + 3*y - y) + (2*y + 4*y - 4*y)*(2*y**3 - 3*y**3 + 4*y**3).\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -20262, -81091, -182472, -324405, -506890?\n\"Answer: -20276*v**2 - v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1739 + 3395 - 1656 - 1225*m + 143*m**5 wrt m.\nAnswer: 2860*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*c + 4*c - 3*c)*(1 - 2*c - 1) - c + 2*c**2 + c + (c - 3*c + 0*c)*(-7*c + 3*c + 2*c) + (0*c + c + 0*c)*(3*c + 3*c - 4*c).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*d**2 + 2*d**2 - 5*d**2)*(-3*d**3 + 5*d**3 - 3*d**3) + (0*d - 2*d**4 + 0*d)*(d + d - d).\nAnswer: 8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 3756.\nAnswer: 1\/1878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 48638 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -3876342 divided by -20?\nAnswer: 1938171\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pyooyyppeoebpppo. Give prob of sequence oy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-72 + 74)*1\/7. Determine l, given that -a*l + 2\/7*l**2 + 2\/7*l**3 - 2\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -467 and 5.\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -38 + 29. Let b be (0 + -3)*12\/i + 99. Let k = 145 - b. What is the greatest common factor of k and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 + 18. What is the lowest common multiple of w and (3\/(-2))\/(12\/(-16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6387101?\nAnswer: 7, 130349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2691 and 828.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17c48 (base 13) to base 5.\nAnswer: -2433103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -104 * -0.1.\nAnswer: 10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 5 = 1. Calculate the common denominator of -35\/6 and 42\/(-10) - (c + 0 + 0).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(2\/9)\/r)\/(r\/r**(-5\/4))*r\/(r*r*r**1)*r\/((r**(-2)*r)\/r) assuming r is positive.\nAnswer: r**(-73\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f\/(f\/(f**(1\/7)\/f))*f)**(-2\/41)\/(f*f\/(f*f*f*f*(f\/(f\/((f*(f*f*f**(4\/5))\/f)\/f)))\/f*f*f*f*f*f))**(12\/7) assuming f is positive.\nAnswer: f**(19108\/1435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55981?\nAnswer: 17, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f - 2*k + 16, -4 = 5*f + k + 3*k. Let n be f\/18 - (-42)\/(-54). Let q = 3 - n. Solve -4*s = q*x, 5*s - 19 = 3*x - 51 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -3*c - 17. Calculate s(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -47 + 87. Let t = -40 + h. Let v be t\/((-2)\/(-2 - -1)). Solve -z + 3 - 4 = v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 4*b + 4 = 0. Solve b + 11 = 4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -146 - (-122 + (-132 - -221)).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (2640\/8184)\/(1\/((-3)\/(-18)))*2\/5?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -9*l + 78. Determine p(10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 1, y: 2, h: 1, v: 2, n: 1, e: 1}. What is prob of sequence cevn?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-12))\/(-2 - 44\/(-16)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kk when two letters picked without replacement from gvkkw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -172 + 9620\/74 + (1 - -13).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 814236 (base 10) in base 11?\nAnswer: 506825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.06184+0.24\nAnswer: 0.30184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 878?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21086?\nAnswer: 2, 13, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*l + 41*l**3 + 0*l - 1003 + 3*l + 727 wrt l.\nAnswer: 123*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (77 - -11)\/((-1)\/(-4)*2). Let n = -179 + j. Let a = -6 + 10. Put 3, a, n in decreasing order.\nAnswer: a, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 38 - -269 - 131 - 99.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3948362 is divided by 322?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -4, 1448, 0 in descending order.\nAnswer: 1448, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -72*z**3 + 35*z**3 + 43*z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 636088 is divided by 646.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 0*s = 8. Let v be (-30)\/4*s\/(-6). Suppose 0 = -v*n + 6 + 589. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64*p - 22*p + 172 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 413, 412, 411, 410?\n\"Answer: -z + 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -l**3*v**3 - 35*l**3*v**2 - 2*l**2 + 6*l - 7*v**3 + 5*v wrt l?\nAnswer: -6*v**3 - 210*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 29 - 46 + 24 + 7*x**4 wrt x.\nAnswer: 28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -27\/3056 and 95\/231.\nAnswer: 705936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4553, -4517, -4465, -4403, -4337, -4273, -4217?\nAnswer: -4175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -137*a**2 - 3884 + 3884 + 2*a to the form x*a**2 + w + b*a and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4*(15\/4)\/5. Suppose 359 = j*g - 526. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 3*q = 41 + 34, 3*q = -5*t + 165. Calculate the remainder when t is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (45\/((-3645)\/108))\/((-2)\/18)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kmmmkmkkmkkkkkkkmkk. Give prob of sequence mkm.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence on when two letters picked without replacement from {e: 11, n: 6, o: 2}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 237 - 114 + 147 = -30*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0, -1\/28, 3\/8, -189?\nAnswer: -189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 44 and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(-4)*j*j\/(j\/j**5*j))\/(j**(1\/6)\/(j\/j**(-2\/9))) assuming j is positive.\nAnswer: j**(55\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from owowoo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -j + 72. Let b = -22 + j. Calculate the lowest common multiple of b and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((1 + (-21)\/(-24))*4)\/(630\/420). Factor 0*w - 3\/10*w**3 + 0 - 1\/10*w**h - 3\/10*w**4 - 1\/10*w**2.\nAnswer: -w**2*(w + 1)**3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*w**2 + 2*w**2 - 20*w**2 to b + r*w**2 + c*w and give r.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-720)\/30*1\/(-15)*-1.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2100 (base 3) to base 14.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99*m + 8 = 101*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5487 + -3290. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 651107663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**3\/11 - 12*t**2\/11 - 2*t\/11 + 60\/11.\nAnswer: 2*(t - 5)*(t - 3)*(t + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -19.9 - -20.271. Round s to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 64*h - 508. Let w be n(8). Solve c + 1 = -l, c = l + w*l - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -3*d**3 + 70*d**2 - 8*d - 114. Let q be w(23). Solve -6*t + q - 261 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + x = -1765, 3*h - 2536 + 781 = 3*x. Let m = h - 586. Calculate the smallest common multiple of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -112?  (a) 1\/11  (b) -0.3  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 16, 38, 86, 172, 308?\n\"Answer: 2*s**3 + s**2 + 5*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7 and 1793?\nAnswer: 12551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q - 8 + 11 + 6*q)*(q + 1 - 1).\nAnswer: 3*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/7, 168, -4, 2\/3, -1\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -2*l**2 + 9*l. Let x be r(5). Let j be ((-5 - -3) + 1)*x. Solve -6*n + n = -5*v + 20, -v - j*n - 8 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 649 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 4, g: 3, c: 1, r: 5, w: 1}. What is prob of sequence rwg?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18 - -1 - (-172 + 162)) + -14.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8a8 (base 13) to base 7.\nAnswer: -4226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**2 + 70. Let g(l) = l + 1928. Give g(i(d)).\nAnswer: d**2 + 1998","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 - 7 - 4*u - u + 11*u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23402 (base 8) to base 15.\nAnswer: 2e5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2897.\nAnswer: 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*h**4 + 0*h**4 + 167 - 165 - h in the form p*h**3 + a*h**2 + c + s*h + d*h**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**2*k)**(-2\/117)\/(k**3*k**(-11)))**(-38) assuming k is positive.\nAnswer: k**(-11780\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 14?  (a) -2  (b) 0  (c) -3  (d) -52.5  (e) 15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 84 = -4. Let a be (-12)\/h - 118\/(-5). What is the highest common divisor of 230 and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yiliyyyylliiyyei. Give prob of sequence yy.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 22267, 22264, 22261, 22258?\nAnswer: 22255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*a + 52 = 0, -o + 4955 - 4962 = 2*a - 4*a for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*v**3 + 26*v**3 + 17*v**3.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 1 + 2)*(5 - 3 + 0)*(-26*a + 40 - 40) as u + w*a and give w.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*f**4 + 26416*f**2 + 2*f + 539512 wrt f.\nAnswer: 12*f**3 + 52832*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -3*r + 2. Let o(w) be the first derivative of -3*w**2 + 4*w - 11. What is -4*o(c) + 9*s(c)?\nAnswer: -3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3389\/5 - 678. Is 1\/184 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -70 - -130. Suppose -5*w = -d + 4*d - z, 3*w - 3*d - 36 = 0. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q - 0*q + 12. Let u be -149 - ((2 - 1) + -6 + q). Let t be 63\/u + 0*2\/(-4). Which is smaller: 1\/2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c = 4*f - 21, 2*c - 116 + 126 = 2*f for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 789486 is divided by 219?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 + (-4)\/7 + 10488\/(-168). What is the remainder when h\/((1\/(-3))\/(-1)*-3) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 445 by 492.\nAnswer: 445\/492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 2*p = 5*p. Let c = p - -16. Suppose 4*u - c = -0*u. Solve n = -x + u, 2*x + 0 = 4*n - 10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-124*o - 34*o**2 + 417*o - 206*o)*(-6 - 4*o + 6) to the form y*o**2 + p + n*o**3 + u*o and give n.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**2\/3 - 82700*g\/3 - 413350.\nAnswer: -2*(g + 15)*(g + 41335)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6000)\/sqrt(3) - ((sqrt(500) - sqrt(20))*-3 + sqrt(20)))\/(-4*(sqrt(160)\/sqrt(4) + sqrt(40))\/sqrt(4)*6).\nAnswer: -7*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5999 is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t*t**(-19))\/t*t)**(-33))**(-3\/22) assuming t is positive.\nAnswer: t**(-153\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y**2\/5 - 144*y\/5 + 1728\/5 = 0.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 5  (b) -0.9  (c) 3  (d) -3  (e) 322783\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/60480 and 37\/186.\nAnswer: 1874880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -23 - -24. What is the third smallest value in 4, -5, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 77131752 and 34.\nAnswer: 1311239784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 650 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -103 - 50. Let q = 155 + i. Suppose -5*b = 4*f - 498, 6*b + q*f = 2*b + 402. List the prime factors of b.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 3768330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 2*p**2 - 47*p + 253. Give x(14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = o + o. Let z = -14 - -13. Let r(k) = 5*k**2 + 2*k + 1. Let x be r(z). Sort -1, x, o.\nAnswer: o, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4205 and 870?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 3*r = r + 5720, 4*g - 5*r - 11440 = 0. What is g rounded to the nearest 100?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3.613 - -4.013. Let o = -1\/4 + 0. Which is the closest to o?  (a) s  (b) 4  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 835267?\nAnswer: 79, 97, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(130)\/(sqrt(10) + sqrt(90)) - sqrt(13))**2 - (4 + -1*sqrt(13) + sqrt(13) + sqrt(13))**2 - 6*(sqrt(1872) + -2*sqrt(1872))**2*-6.\nAnswer: -8*sqrt(13) + 1077925\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from apaaapa. What is prob of picking 4 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 - 4. Let h be 23*-3*(-3)\/(-9). Is h smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -3*v + 3. What is the remainder when 107 is divided by h(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 113.3322473 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1322814933?\nAnswer: 3, 11, 1259, 10613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 132 + -105. Let k be -12*21\/x*-3. Solve k = -4*q - 4*d, 5 = -5*d - 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 169*w - 58*w + 252*w = 10890 for w.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-28)\/((l*l**1)\/l*l)*(l\/l**(-21))\/(l\/(l*l*l\/(l*l\/(l\/l**(1\/26)*l)))) assuming l is positive.\nAnswer: l**(-157\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y - w - 182 = -2*y, -3*w = -y + 91. Let c = -63 + y. Suppose c + 122 = 3*u. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**2 + 16*j + 20. Let u(f) = -3*f**3 + 14*f**2 + 17*f - 50. Let q be u(5). Calculate t(q).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j*j*j**(1\/5)*j*j))\/((j\/(j*j**(1\/7)))\/j)*j**2\/j**(-2) assuming j is positive.\nAnswer: j**(68\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 965005774?\nAnswer: 2, 4273, 112919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 150882 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -l*w**3 - 4*l - 87*w**3 + 19*w**2 - 558 with respect to w.\nAnswer: -3*l*w**2 - 261*w**2 + 38*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lghg when four letters picked without replacement from llolllhlgolgll.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -10*a - 5. Let q(b) = -19*b - 11. Calculate -13*p(n) + 6*q(n).\nAnswer: 16*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(171) + -3) - -4*1*sqrt(171))**2.\nAnswer: 72*sqrt(19) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Total of -142.37 and -1.435.\nAnswer: -143.805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add 127 and 51746501.9.\nAnswer: 51746628.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, -425, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes before 10:54 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 3*r + 77. Let m be n(5). Let y = m - 92. Is 1\/29 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2646 and 94158018.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -104*w = -167*w + 108*w + 675 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/((b*(b\/b**(-45))\/b)\/b))\/(b**(-8)*b)*b**(3\/11)\/(b*b**(-43)\/b))**30 assuming b is positive.\nAnswer: b**(2070\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*c - 31*c = 34*c. Suppose c = g + 3*h - 892, 4*g + 2*h - 5733 = -2215. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, 0.5, -0.4, -86?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 30 - 17. Let s = l + -12.93. Let f = 1.07 - s. What is the second smallest value in f, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4860 - 4844. Let x(k) = k**2 - 14*k - 16. Give x(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the first derivative of 85*v**3 - v**2\/2 + 896*v + 3654. Differentiate z(u) wrt u.\nAnswer: 510*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b + 5. Let n be c(4). Let g(s) = -2*s + 24. Let p(f) = -1. Let j(r) = 2*g(r) + 20*p(r). Let m be j(6). Put n, m, 0 in decreasing order.\nAnswer: m, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v\/v**(-4\/5))**(3\/41) assuming v is positive.\nAnswer: v**(42\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000791319 to 5 dps.\nAnswer: 0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/n**(1\/4)*n\/(n*n*n**1*n))**(1\/54))**(4\/17) assuming n is positive.\nAnswer: n**(-1\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 + 0. Calculate the remainder when ((-6)\/h)\/((-2)\/(-60)) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 224916599 to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 11*n**2 - 18*n + 17. Let p(b) = -7*b**2 + 12*b - 11. Let g(f) = -8*p(f) - 5*r(f). Let x = -40 - -46. Let z be g(x). Solve 2 + 13 = -z*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 1492585055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 440*o**3 + 7*o**2 + 7*o + 706. Let j(m) = 293*m**3 + 5*m**2 + 5*m + 471. Let g(p) = -7*j(p) + 5*r(p). What is the derivative of g(i) wrt i?\nAnswer: 447*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3497 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3354793 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 584, 1115, 1656, 2207?\n\"Answer: 5*x**2 + 516*x + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1059?\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**2 + 13*g + 15. Let z be w(11). Suppose -6*o + 79 - z = 0. Calculate the remainder when 46 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (-3 - 5)\/(-8) + 1 and 252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 688 minutes after 12:30 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 49\/12 + -13\/3. Let f = -128 + 127. Which is the third biggest value?  (a) -11  (b) g  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:47 PM and 11:56 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 235663913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -4*y**2 + 2 + 3*y**2 + 3*y + y**3 - 4*y - 1. Let v be l(1). Let f be v - (-3 + 2 + -1). Sort 3, f, -1.\nAnswer: -1, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -98 + 152. Let z = s - 269\/5. Find i, given that 2\/5*i**4 - 1\/5 + z*i + 3\/5*i**2 - i**3 = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 15317 + -15365. What is the third biggest value in 3, r, -0.05?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -120 and -127 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -345 + 359. What is the smallest common multiple of t and 3?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1416546.\nAnswer: 2, 3, 78697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 8 = -4*i, 1 + 3 = -2*i + 2*u. Let d be (i + 3\/1)*1. Suppose 5*n - 24 = 4*o, 40 = 4*n - o + d*o. Does 2 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2)\/5)\/(2\/10). Let t be (56 - s)\/(6 - 4). Calculate the greatest common factor of t and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:18 PM and 3:22 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 441 - 439 - (-1)\/(-2)*3*2. Suppose 0 = -f + 31 - 13. Let o be (24\/f + -2)\/(m\/6). What is the highest common divisor of o and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -2*o**3 - 3*o**2 + o + 5. Calculate u(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-186)\/(-1953)*(-3)\/(-5)*10\/6\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 20462  (b) -46\/7  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*r - 2*r**4 - 259*r**3 + 512*r**3 + 38 - 251*r**3 in the form i + p*r**4 + v*r + b*r**2 + f*r**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the third derivative of 217*i**4\/8 + i**2 + 3954. Let m(b) = 2*b. Give c(m(d)).\nAnswer: 1302*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.4 - 0.6. Let z = -341 + 339.03. Let w = z + -0.03. Sort q, 3\/7, w in decreasing order.\nAnswer: 3\/7, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k + 2. Let g be l(2). Solve c = 4*x + x + 27, g*x - 3*c = -26 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and 94.\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1546294*y**4 + 90*y**5 + 1545909*y**4 + 290*y**5 + 5*y**3 = 0. Calculate y.\nAnswer: 0, 1\/76, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 115898723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1\/20, 3\/8, -1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -0.05 * -1308960\nAnswer: 65448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 51099*l + 356 + 51088*l + 4*l**2 - 102187*l - 356.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d**3\/5 + 12672*d**2\/5 - 13073373*d\/5 + 7821198 = 0.\nAnswer: -5082, 3, 855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -118*-28.\nAnswer: 3304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9)\/(-90))\/(4\/(12\/15)*126\/140)?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 149\/2028 and 73\/1352.\nAnswer: 4056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 84 - 6*z**3 - 7*z - 275 + 112 + 79.\nAnswer: -6*z**3 - 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z + 13. Let n be c(-6). What is the second derivative of n*f - 8*f - 14*f - 12*f + 26*f**4 wrt f?\nAnswer: 312*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(1\/3))**(2\/73)*(i**(-1\/3))**44*((i\/i**(-10))\/i**(-9))**(-1\/15) assuming i is positive.\nAnswer: i**(-3502\/219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 55320 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes after 12:24 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 50\/19 + -131\/57. What is the nearest to d in 17, 2\/17, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cocceaaccace. Give prob of picking 1 o and 2 e.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 5*z - 95. Let n = -191 + 210. Let u be v(n). Solve u = h + 6 - 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 y, and 1 c when three letters picked without replacement from {a: 5, c: 1, g: 3, y: 1, u: 3, r: 6}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -16 + 7. Let p = 13 + v. Suppose p*g = 6*g - 6. Solve 2*m + 4 + 3 = t, -9 = g*m - t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10679 and 74753.\nAnswer: 74753","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 3023155325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1296611665 to the power of 1\/2, to the nearest integer?\nAnswer: 36008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/40*(-2)\/(16\/(-15))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - (-4 + 11)) + -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the second derivative of -o**4\/6 + 22*o. Let j(t) = -2. Let x(b) = b**2 - 1. Let m(l) = j(l) - 2*x(l). Calculate d(m(w)).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1 + 165?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 31*u + 32. Suppose 51 = 4*d + 19. What are the prime factors of q(d)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 79\/3 of a day in minutes?\nAnswer: 37920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the second derivative of -s**5\/5 - s**4\/6 - s**3\/3 - s**2\/2 - s. Let p be t(-1). Let l = 65 + -56. Calculate the highest common factor of l and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 34, 95, 156, 217?\n\"Answer: 61*u - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -13 - -8 - -9 - 8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71718 is divided by 23904.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 95 divide 380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 38 and 84094.\nAnswer: 84094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, o: 1, t: 7}. Give prob of picking 1 o and 2 t.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-30)\/160*(6\/(-27))\/((-6)\/9) and ((-20)\/390)\/((-40)\/27).\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -3734, -7329, -10924, -14519, -18114, -21709?\n\"Answer: -3595*v - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qw when two letters picked without replacement from mmmwmwqwwqqqwmmqwqq.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 5*f. Let z(y) = -3431410*y. Determine z(m(p)).\nAnswer: -17157050*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 2*b - 24232220 = 0, -b - 4846436 = -w + b. Let o = w + -2820455. Let z = o + -1385991. Round z to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.16 + 0.06. Let q = p - 0.9. Let g = -0.079 + 0.179. What is the closest to g in q, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4626303340 + 1?\nAnswer: 4626303341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, 419, -462, 5, -0.56, 1\/3.\nAnswer: -462, -0.56, 1\/3, 2\/3, 5, 419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 2 + 0 = 0. Let t = g + 0. Let v be ((-36)\/15)\/(t\/60). What is the highest common divisor of 8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(((1*sqrt(190)\/sqrt(10) - sqrt(19)) + 5 - (-1 + (sqrt(2736)*-2)**2)) + 3).\nAnswer: 10935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by -59.\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 243080 and 12508320.\nAnswer: 737990880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -96 = 4*t - t. Let u = 21 + t. Let s(v) = -11*v + 12. Let b be s(u). What is the highest common factor of b and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.41 + 121.29. Let j = w + -121. Put -1, j, 0.1, 2 in decreasing order.\nAnswer: 2, j, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.7 - -1.4. Let m = -0.1 + -1.9. Which is the second smallest value?  (a) m  (b) r  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -146*v - 68*v = -1238 - 2400. Solve 5*s - 27 = y, 0 = 14*s - v*s - 3*y + 9 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (15\/5)\/(2\/2909852). Let i = -1835222 - z. Round i to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 12*a - 7. Is 3 a factor of s(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the third derivative of -11*h**2 + 0 - 1\/120*h**6 - 1\/12*h**4 - 2\/3*h**3 + 0*h + 1\/15*h**5. Give j(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 - 8. Let b be (n*19\/(-1))\/1. Solve -3*s = -p - 5, s + b = -4*p - 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 70 and 196?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 5689547 a multiple of 1321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 248, 2, -1.93, -3\/5, 4 in decreasing order.\nAnswer: 248, 4, 2, -3\/5, -1.93, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**3 + 14*z**2 + 48*z - 3. Let b be q(-7). Suppose 2*f - 3*j + 16663 = -b*j, 0 = 5*j + 15. Round f to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3454?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51*n - 48*n + 92*n.\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(68) + 2*sqrt(68) + sqrt(68) + sqrt(68))*2)\/sqrt(4).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 170 - 17. Suppose -5*w + 0*w = 4*y - b, -4*w = 2*y - 18. Suppose -s = 2*s - 60. Is y smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.1430355l?\nAnswer: 143.0355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*c - 11 = 10*q - 9*q, -3*q - 1 = 4*c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/(1*4\/(-1580)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**3 - 190*f**2 + 7579*f + 124. Determine w(57).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0\/2 + 3\/8. Let x = 40.5054 - 0.0054. Let d = -41.1 + x. What is the smallest value in 2, d, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 4084242 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 3\/16  (b) -4  (c) -3  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3.8 + -0.2. What is the nearest to 6 in -0.4, z, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (23*n - 42*n - 29*n)*(n - 2*n - 3*n) - 28*n**2 - 13 + 36 - 21 - n**2 + 0*n**2 + 3*n**2 to c*n + l*n**2 + j and give l.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -319876 divided by 475\nAnswer: -319876\/475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -3*d**2 + 7*d**2 - 5*d**2 - 13 - 13*d. Suppose 2*v + 34 = 10. Calculate n(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 190 divide 47690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17838005?\nAnswer: 5, 3567601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -16.1 - -16. Let s be ((-2)\/20)\/(12\/(-16)). Put -2\/5, s, j in descending order.\nAnswer: s, j, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 84\/210 - (-496)\/(-1340).\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.072494982 to 4 decimal places.\nAnswer: 0.0725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 11*l**3 + 9*l**2 + 9*l + 1. Let r(o) = o**3 + o**2 + o. Let u(n) = 4*f(n) - 36*r(n). What is the derivative of u(k) wrt k?\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the first derivative of -13*n**2\/2 + 86*n + 3579. What is k(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12167627 to the nearest integer?\nAnswer: 3488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = -5*z + 5*y, 0 = -5*z - 12*y + 13*y - 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**2 - 4*g + 3. Let h be s(-4). Find the third derivative of -5*v**4 + 317*v**h - 317*v**3 - 5*v**2 wrt v.\nAnswer: -120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + -12 + (31 - ((-10 - -3) + 19))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the second derivative of 3*j**8\/28 + 11*j**4\/12 - j. Find the third derivative of a(w) wrt w.\nAnswer: 720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/4  (b) 0.03  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4442003414 - 5?\nAnswer: 4442003406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -185736, -371767, -557800, -743835, -929872?\n\"Answer: -r**2 - 186028*r + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -l**5 + 3*l**5 + 0*l**5 + (2*l**4 + 3*l**4 - 3*l**4)*(4767 + 57*l - 2384 - 2383).\nAnswer: 116*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 27 + -10 - (129 - 44)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**2 - 11*h + 16. Calculate n(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 1 + (10 - (-2 + 6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10 - -17. Let p(k) = -5*k**3 - 4*k**2 - 3*k - 2. Suppose 13 - 5 = -4*i. Let j be p(i). Calculate the greatest common divisor of j and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 110122001 - -12102?\nAnswer: 110211110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 50*r**2 - 87*r**2 - 316*r**2 - 141*r**2 + (-2*r + 0*r + 3*r)*(-r + 2*r - 2*r).\nAnswer: -495*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 23*t**3 - 6*t. Let p(y) = -3 - 3*y**2 + 4*y**2 + 2 - 12*y**3. Let n be p(-1). Let u = n + -6. Let w(h) = -4*h**3 + h. Calculate u*k(s) + 34*w(s).\nAnswer: 2*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the first derivative of -a**2 - 1. Let w(c) = 15*c**2 + c. Calculate w(d(o)).\nAnswer: 60*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -z + 4*z + 5 + 91 - 19 + 6*z in the form j*z + i and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4*13\/(-312))\/(6\/(-8))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 182549766 to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 47  (b) 2\/11  (c) -15  (d) 5575\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -151 = -12*m + 269. Suppose -5*n = -8*n - 2*i + 319, 0 = 3*n - 5*i - 326. Calculate the remainder when n is divided by -3 + 35*14\/m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 978690, 978691, 978692, 978693, 978694, 978695?\nAnswer: 978696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**2 - 6*y + 8. Calculate the remainder when (351\/(-26) - -13) + 143\/2 is divided by q(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -2*n + 58. Let i be s(22). Suppose -l = i*l - 39135. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16495019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 98, 528, 1346, 2564, 4194, 6248?\nAnswer: 8738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 976 = 35*w - 2536 - 163. Solve -96*r + 18 = -w*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s = 4*j + 22, -5*j - 66 = s - 53 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -67 + 69. Suppose 3*l + j*w = 458, 3*l + 0*w - 452 = 4*w. Let s(o) = 150 + o - l + 3*o + 7*o**2 + o**3. Calculate s(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.02  (b) 0.008  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -279920.053 - 353.2?\nAnswer: -280273.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(20\/(-72)*(-45)\/(-150))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -28 + 28.49. Let q = 39.49 - t. Let w = -38.99999916 + q. What is w rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2833009*p**2*y**4 + 84*p**2*y - 2*y**4 - 4797*y wrt y?\nAnswer: 33996108*p**2*y**2 - 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = p + 5*y - 27, 3*p - 14*y - 31 = -19*y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -40735\/6 - -6813. Suppose -h - 917 = 4*t, -7 = -2*h - 4*t - 1837. What is the common denominator of x and (-21)\/189 + h\/450?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-eight thirds of a decade in months?\nAnswer: 2320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -23 - 301?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -f - 2*f. Suppose -f*j = -18 + 2. Calculate the least common multiple of j and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, -0.03, 0.5, 14, 2, 0.2.\nAnswer: -0.03, 0.2, 2\/7, 0.5, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbbbbbbvbbbb. What is prob of sequence bb?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the third derivative of 1\/15*m**3 + 0 + 1\/150*m**5 - 1\/30*m**4 + 4*m**2 + 0*m. Determine s, given that i(s) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1397 equal to -1400?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the first derivative of 7*w**2 - 3*w - 105. What is g(-2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 53 - (18 + (9 + 8 - 19)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 5 + 2)*(0*q + 2*q + 2*q)*(6*q**2 + 531*q - 206*q - 249*q).\nAnswer: -48*q**3 - 608*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 0*i = 5*i - 15, 0 = 2*i - 4. Suppose 2*s + y*r = 4*s + 16, -2*r + 6 = -s. What is the second derivative of -n - 2*n + 0*n**s - 3*n**2 wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(2\/11)*a)\/a)\/(a\/(a\/a**(2\/11)))*(a**2)**(-16) assuming a is positive.\nAnswer: a**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 592 is divided by 211.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1701)\/729*1\/((-7)\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**3 - 10*s**2 - s + 7. What is b(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*m**3 - m**3 + m**3)*(900*m - 3316*m - 1605*m) to b*m**2 + j*m**4 + p*m + l*m**3 + f and give j.\nAnswer: 8042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seventeen quarters of a millennium?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9355890 divided by 543.\nAnswer: 17230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1168 (base 13) in base 14?\nAnswer: -c72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 324 and 277974.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -105 (base 7) in base 16?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 equal to -15\/4467767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -33736.5 and -10?\nAnswer: 337365","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Expand -k**3 + 18 - 29 + 17 + (-4*k + 0*k + 2*k)*(-2*k**2 - k**2 + k**2).\nAnswer: 3*k**3 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*m**2 + 3*m**2 + 0*m - 2*m**3 - m + 3*m**2 as o*m + l*m**3 + i + w*m**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.26 + 1.74. What is the third smallest value in -3, -2.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.04 - -1.04. Let p be 6\/(-38)*(-6)\/(-9). What is the third biggest value in p, s, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -531, 449, 1427, 2403, 3377, 4349, 5319?\nAnswer: 6287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together -276 and 59.\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3085 is divided by 86?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -64\/69 and 82\/879501.\nAnswer: 20228523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(-15) + (4743\/(-315) - -9) + 4. What is the fourth smallest value in i, -1, 4\/3, 1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 15 and 1185.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -110000011111000111 (base 2) to base 14\nAnswer: -52539","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Expand c**4 - 3*c**4 + 11*c**4 + (c**3 + 0*c**2 + 0*c**2)*(2*c - 4*c + 4*c) + 15*c**4 - 8*c**4 - 2*c**4 - c**4 + c**4 + 2*c**4 + c**4 + 0*c**4 + 0*c**4.\nAnswer: 19*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 14*i**2 + 256*i - 4. Let n(m) = -15*m**2 - 294*m + 5. Determine 9*a(t) + 8*n(t).\nAnswer: 6*t**2 - 48*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7 - (-8 + 3))\/(2*4\/(-48)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -338705 rounded to the nearest one thousand?\nAnswer: -339000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*n**3 - 211*n**3 + 53*n**3 + (3 + 4 - 5)*(n**3 + n**3 - n**3).\nAnswer: -158*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -720*k - 11516. What is g(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bu when two letters picked without replacement from ddbdbtbtmbdbbbumuudb?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 224311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -3 + -151638\nAnswer: -151641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 29 = -4*d - 2, -4 = 4*s + 4*d. Solve s = -3*c - 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the second derivative of -2\/3*g**3 + g - 1\/20*g**5 + 1\/2*g**2 + 0 - 5\/12*g**4. Determine j(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -2*u. Let a(g) = -71213*g**2. Calculate a(i(j)).\nAnswer: -284852*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -1 + -73 + 3 - (346 + (-650 - -294))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16.0035 - -16. Round f to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2, 0.09, -1\/11, 21, -1\/2?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*w + 3*w - 46*w**3.\nAnswer: -46*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-6)\/(-4))\/((-9)\/(-12)). Suppose 2*j = -x + 2, 4*x - 7 = l*x - j. Calculate the lowest common multiple of 5 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/(-20) + 27\/15. Suppose -x*z - 3*z + 5 = -5*k, 0 = -3*z + 4*k + 8. Let w = 1.8 + 0.2. Which is the second biggest value?  (a) w  (b) -3  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-2 + sqrt(13) - sqrt(13)) + -5 + -6*-4*sqrt(52))**2 + -1.\nAnswer: 288*sqrt(13) + 29960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 4*w + 2*j - 10 = 0, 4*w + 4*j + 52 = 0. Let i = w + 15. Solve -5*z + i*z = -2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1\/3)\/(1\/(-2)). Let g = -3 + 5. Let d be (-44)\/(-16) - g*1. Which is the nearest to z?  (a) d  (b) -3  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -301 + -316. Let w = u - -932. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 + -21. Let p = -13 - h. What is the lowest common multiple of p and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 365 - 149. Suppose -3*d + s = -0*d. Calculate the greatest common divisor of 9 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 77764, 77525, 77286, 77047, 76808, 76569?\n\"Answer: -239*q + 78003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16 (base 13) to base 10.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.42  (b) -0.5  (c) 1\/2  (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j**2 - 5*j**2 + 4*j**2)*(-8 + 0 + 5)*(-2*j - 2 + 2).\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 37794 and 100909980?\nAnswer: 100909980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-196)\/(-112) - (6\/8 - 1). What is the nearest to r in -2\/9, 12, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -287*a - 22*a - 208*a - 20*a.\nAnswer: -537*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 15752 or 15751?\nAnswer: 15752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.06 in -0.3, -4\/5, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = -4, -m + 0 + 14 = -3*d. Which is smaller: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-o**2 + 0*o**2 - 4*o**2)*(-4 + 6 + 0) - 181*o**2 + 358*o**2 - 179*o**2 - 57*o to v + m*o + y*o**2 and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -2769*i + 11076. Determine b(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1293\/33 - ((-16)\/22)\/(-4) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 169, 166, 163, 160?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, 2\/29, 150\/113 in decreasing order.\nAnswer: 8, 150\/113, 2\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9187 divided by 1.\nAnswer: -9187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 606\/115 - 43\/23. Let s = 157\/55 - h. What is the second smallest value in -0.5, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**2 + 7*w + 2. Let q be k(-6). Let i = -1 - q. Solve 12 = g + i*v, -v + 4 = -2*g - 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -174, -186, -214, -264, -342?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 532, 763, 1140, 1657, 2308, 3087, 3988, 5005?\n\"Answer: -i**3 + 79*i**2 + i + 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11484*t**2 - 6 + 5 - 11428*t**2.\nAnswer: 56*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6517*r**2 - 49962*r wrt r.\nAnswer: -13034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(1539) + sqrt(1539)*-1*-2 + (sqrt(1539)*2 + sqrt(1539))*4 + 5)**2.\nAnswer: 346275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -851, -5685, -18785, -44279, -86295, -148961, -236405, -352755?\nAnswer: -502139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 14*r - 2. Let f be ((-40)\/(-12))\/(-5)*-3. List the prime factors of w(f).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -2*c. Let t(j) be the third derivative of -1\/30*j**5 + 12*j**3 + 5*j**2 - 5*j + 0*j**4 + 0. Determine t(w(b)).\nAnswer: -8*b**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.115758 and -3476.\nAnswer: -402.374808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3780 divided by 210.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4 - 6\/4*4. Let w(p) = p**3 + 1. Let i(m) = 26 - 21 + 9*m**2 - 11. Let v(y) = -i(y) - 3*w(y). Let k(n) = n**3 + 4*n**2 - 1. What is c*v(h) - 5*k(h)?\nAnswer: h**3 - 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 14 + 3 + -16 + (-11 - (-2 + 2))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -465*h**5\/8 - 56961*h**4\/4 - 6325125*h**3\/8 + 5130783*h**2\/2 + 3320322*h - 21528 = 0. Calculate h.\nAnswer: -156, -92, -1, 1\/155, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 1 = 4. Let m be (6 + 3\/l)*1. Find the first derivative of 5*h**3 + 2*h**3 - 5*h**3 - h**3 + m wrt h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20e5 (base 16) in base 10?\nAnswer: 8421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19 + 0*s - 16 + 3*s)*(4*s**4 - 3*s**4 + s**4 + (-8*s**2 + s**2 - 11*s**2)*(3*s**2 + 2*s**2 - 4*s**2)).\nAnswer: -48*s**5 - 48*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 3*v - 3. Let y be r(2). Suppose 0 = 2*z - 5*j - y, -3*j + 15 = 3*z - 0*j. What is the nearest to -0.2 in z, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {k: 4, a: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -208, -223, -294, -421, -604, -843?\n\"Answer: -28*q**2 + 69*q - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2757830650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t**4\/8 - 183*t**3\/8 - 749*t**2\/8 + 183*t\/8 + 187\/2 = 0. Calculate t.\nAnswer: -4, -1, 1, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**3 - 10*l**2 - 10*l - 12. Let k be y(11). Let w be (-38)\/10 + 2 + 18\/(-15). Sort 3, w, k.\nAnswer: w, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 - 926792*j**3 + 5 + 923300*j**3.\nAnswer: -3492*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 41505 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 286742705 to the nearest integer?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f*f**(2\/9)\/f*f*f*f)\/f)\/f**46)\/(f**(-1\/4)\/f*f*f\/(f*f**(2\/15))*f) assuming f is positive.\nAnswer: f**(-7991\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1341 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (63*i - 30 + 30)*(2*i + 4*i**2 - 8 + 1 + 5) to j*i**3 + a + x*i**2 + d*i and give x.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1472298 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -783*p + 25767. Calculate n(34).\nAnswer: -855","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (1*2\/(-28))\/((-45)\/(-1305)*1769\/1098)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**2 - y + 4. Let s be k(-3). Let q = s + -1. Let r = q + -8. Calculate the greatest common factor of r and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1188558 and -0.5.\nAnswer: 1188557.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -24960 + 24967. Calculate the least common multiple of w and ((-6)\/(-2))\/((-1)\/(-9)).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(1\/5))**5*n**(1\/7)\/(n*(n*n**(-8))\/n)*((n*n**5\/n)\/((n*n*(n*n**(-3)*n)\/n)\/n))**(-11\/9) assuming n is positive.\nAnswer: n**(17\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 44187212*o**2 + 2*o + 130748681?\nAnswer: 88374424*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1012?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 311012 - -101231103?\nAnswer: 102202121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1199 and 45780.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -4, -13, 0, 12.\nAnswer: -13, -4, 0, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2 + -1)\/((-18)\/54). Is 1 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes after 4:28 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 - 3. Let b(c) = c**2 + 4. Let l(d) be the second derivative of d**4\/12 + 3*d**2\/2 - 2*d. Determine i*l(o) + 3*b(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (((-2886)\/442)\/37)\/(15\/2)\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 881635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (-2 + 2 + -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (21 + 2 - 6)*(2*i**4 - 2*i**4 - i**4) in the form v*i**4 + h*i**3 + z + c*i**2 + t*i and give v.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 3.7506 * -0.3\nAnswer: -1.12518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17 + (-2 - (-2 + 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11172 divided by -147.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -294 + 146 + 148 + s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -53.23 - -0.23. Let m = y - -53.000000298. What is m rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 168178133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*y + 2*y - 3*y + 5*y.\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 686 is divided by 205?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-4*(sqrt(180) - sqrt(180)*2) - sqrt(180) - sqrt(180))**2.\nAnswer: -1440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1537*n + 37201 - 37201.\nAnswer: -1537*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the third derivative of s**5\/60 - s**4\/8 + 4*s**3\/3 + 7*s**2 - 3*s. Let x be t(0). Solve -p + 28 = -x*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38578 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2613883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -19.4 + 17. Let c = -0.1 - s. Let h = -0.3 + c. What is the closest to -1\/2 in 4, -0.1, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q + 27*w - 15 = 32*w, -2*q + 5*w + 3 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s + 11. Let l be o(9). Suppose -i = -l*h - 2 + 8, 0 = 3*h + i - 19. Solve 2 = -x + h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 + 147\/35 - 1599\/(-5) a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -103032957.000134 + 103033062. Let u = y - 105. Round u to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14222)\/(-156) + 502\/12 + -43.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the first derivative of -65 + 0*r**2 + 0*r - 1\/3*r**5 + 1\/18*r**6 - 4\/9*r**3 + 2\/3*r**4. Determine x, given that c(x) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 8348*m**2 - m - 97565?\nAnswer: 16696*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 46494, 46496, 46498, 46500, 46502?\nAnswer: 46504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -1*sqrt(567)*4 + (sqrt(567) - sqrt(567)*3) + -3 + 1.\nAnswer: -54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1872) + -1 + sqrt(130)\/(sqrt(10)*-4) - (0 + (sqrt(143)*-1*-5)\/sqrt(11)))*6)**2 + -1.\nAnswer: -486*sqrt(13) + 85433\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.051 + -0.551. Let y = 1\/20 - -9\/20. Put b, 0, 2\/7, y in ascending order.\nAnswer: b, 0, 2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 216723538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d - 5. Let j(u) = 2. Let a(m) = -2*i(m) - 5*j(m). Let g = -655 + 657. Let h(p) = -p**2 - p**2 - 2*p**2 - 6*p**g - 6*p**2. What is h(a(r))?\nAnswer: -64*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 29911 and 21365.\nAnswer: 149555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 20 + -11. Suppose i - k - 1 = -0*k, 4*i + k = f. Factor -b**2 - b**3 + i*b + b**3 - b**3.\nAnswer: -b*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8455925*o + 4212259 with respect to o.\nAnswer: 8455925","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.5 >= -19855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/43 in -1\/16, -0.4, 34, 4\/7, -4?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**3 - 5*w**2 + 7*w - 6. Let j be x(4). Let u = -191.9 - -192. Sort -3, u, j in ascending order.\nAnswer: -3, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3503 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/7 or -20.234?\nAnswer: -20.234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3573 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2308970 rounded to the nearest 1000?\nAnswer: 2309000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 32*q - 1. Suppose -620*c + 900 = -610*c. What is the remainder when c is divided by r(1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 676071, 676041, 675991, 675921, 675831, 675721?\n\"Answer: -10*d**2 + 676081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 2*p + p = 16, -6 = -3*w - 3*p. Suppose w*z - 2 = z. Let h(i) = z + 9*i - 6 + 5. Let n(s) = 2*s. Calculate n(h(a)).\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 45\/16 and -169\/37040256.\nAnswer: 37040256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11347 = 3085*j + 130563 for j.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 3*y + 9 = 0, 0 = -2*r - 4*y - 5 - 5. Suppose 0 = 3*q - r*s - 537006, 2*q - 3*q - 2*s = -178996. What is q rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence el when two letters picked without replacement from {u: 3, p: 1, j: 2, e: 3, f: 1, l: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (7 - -5) - (-10 - (-10 - 42)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27928.12 kilograms to micrograms.\nAnswer: 27928120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3015 divided by 275?\nAnswer: 603\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1115866366 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the second derivative of -k**5\/20 + 5*k**4\/12 + 2*k**3\/3 - k**2 + 92*k. Suppose 0 = 3*m - 7*m + 24. Determine l(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 77 + -238.553138.\nAnswer: -161.553138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -2*j - 1. Let p(t) = -7*t + 80. Let h(f) = -2*p(f) + 2*x(f). Let s be h(16). Is 118 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 9 = 3*a, 0 = 6*f - 3*f + 2*a - 11. Let d(h) = h**3. Let z(g) = -4*g**4 + 12*g**3 + 8*g**2 - 4. Let u(p) = f*z(p) - 12*d(p). Factor u(t).\nAnswer: -4*(t - 1)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 31*a + 2 - 12*a.\nAnswer: 19*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2659\/20640 + 339\/215. Calculate the common denominator of g and 61\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 865 + -366. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10587848 to the power of 1\/3, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/14*(-2 - (-8)\/16). Let q = 0.05 + 1.45. What is the nearest to 0 in f, 6\/5, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 541656858?\nAnswer: 2, 3, 47, 1920769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -354, -362, -374, -390, -410, -434, -462?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 1, 716959 in descending order.\nAnswer: 716959, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9205 + 3524.\nAnswer: -5681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -22507 or -21230?\nAnswer: -22507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 251573 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**3 - 13*i**2 + 5*i - 1. Let w be f(-14). Let b = w + 61. What are the prime factors of b?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i + 2*i + 3*i + 55 - 47. Calculate y(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sib when three letters picked without replacement from besbseeezeesiibse?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -23*n + 28*n + 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -107, -139, -169, -197, -223, -247, -269?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 71673*d**4 - 3550*d**2 - 7*d wrt d.\nAnswer: 1720152*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -95.7077 - -0.1077. Let d = k - -96. Sort -47, d, -1 in descending order.\nAnswer: d, -1, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 16*r**3 - 9*r**2 + 6*r - 7. Let a(l) = 16*l**3 - 8*l**2 + 5*l - 6. Suppose -18*z = -14*z - 4*j - 24, -3*z + 2*j = -18. Give z*u(f) - 7*a(f).\nAnswer: -16*f**3 + 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x**3 - 8*x**2 + x - 3. Let o be a(8). What is the units digit of 126 - (9 - o - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaesaraesasravveer. Give prob of picking 1 r and 1 v.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8177 and 371332.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 763214 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1970026425?\nAnswer: 3, 5, 41, 213553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1, 4, -2 in increasing order.\nAnswer: -3, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -7*c**3 - 5*c**2 + 3*c - 4. Let y(a) = -9*a**3 - 7*a**2 + 4*a - 5. Let m(n) = -5*g(n) + 4*y(n). Let r(f) = -f + 2. Let j be r(5). What is m(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 51 divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-2)\/(-8)*(-3 - -215) is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**3 - 6*j**2 - j - 5. Let w be u(-6). Let b = -3 + -4. Let f = b - -3. Sort 3, f, w in decreasing order.\nAnswer: 3, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001433 to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 + 1\/2*g - 3\/4*g**2 + 1\/4*g**3 = 0 for g.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, o: 2, k: 2, e: 2}. What is prob of sequence re?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4 + ((-22)\/(-33))\/((-4)\/(-468)) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1.0419 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1130 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 16) to base 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1239, -2\/9, -4, -2\/5?\nAnswer: 1239","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is c + 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -417 + 417.0065. Let i = -0.00650317 + o. Round i to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((-3*(sqrt(15) + sqrt(60)))\/((sqrt(5) - sqrt(5)*-1)*-2 + sqrt(5)) - (((sqrt(108)*2 - sqrt(108)) + (6*sqrt(12) - sqrt(3)))**2 + 0)).\nAnswer: -2601 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 65 or 231?\nAnswer: 231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -242 + 241. Let a = b - -23. What is the least common multiple of 20 and a?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5*h**2*n - 2*h**2 + 154*h*n**4 + h*n**2 - 63*h - 294 wrt n?\nAnswer: 5*h**2 + 616*h*n**3 + 2*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*d - 7 + 4 + 13 + 6*d - 10.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2765*n + 60311 + 225910 = 6956 for n.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 22 = c, -2*d + 16 = 2*c - 3*d. Solve -c*i + 15 = -i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5\/2?  (a) -4\/10245  (b) 2\/7  (c) -3.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**2 - 7*i + 4. Let h be v(11). Calculate the least common multiple of 22 and (9\/6)\/(4\/h).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -6\/17, 3 in ascending order.\nAnswer: -6\/17, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-84)\/231)\/(4\/(-22)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 5, v: 4, h: 2}. Give prob of sequence nn.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**(-3\/8))\/(y*y*y**(-1\/2)*y*y))\/(y*y**(-4))**5 assuming y is positive.\nAnswer: y**(103\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyyyyyy. Give prob of sequence yy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 + 3. Suppose k = -0*o + 2*o + 1, d = 4*k - 4*o - 12. Suppose -85 = -10*c + k*c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -158*b + 1 - 3 - 19*b + 8*b - 102*b.\nAnswer: -271*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3847880 is divided by 46360.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -26*v*w**4 + 19816*v*w**3 + 2*v*w**2 - 22*v*w - v + 21*w**3 - 13*w - 476 wrt w?\nAnswer: -624*v*w + 118896*v + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/9 greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 1 - 10. Let k(g) be the first derivative of g**4\/4 + 5*g**3\/3 + 2*g**2 + 4*g - 2. List the prime factors of k(j).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 986320 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62*k - 57*k - 25 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the third derivative of 0 + 12\/35*o**7 + 0*o + 1\/6*o**4 + 0*o**6 + 3*o**2 + 0*o**3 + 1\/30*o**5. What is the third derivative of r(t) wrt t?\nAnswer: 1728*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w + 2*z + 8514, 2*w + w - 8523 = -z. Let a = w + -1681. What is the third derivative of -a*v**3 + 1169*v**3 - 3*v**2 - 16*v**2 wrt v?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 144*h + 675 = 159*h. What is the remainder when 1077 is divided by h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -23*b + 10. Calculate f(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -5, 44, -2, 5, -10 in descending order.\nAnswer: 44, 5, -1, -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 734*w - 1467*w + 734*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/3)\/(184\/138)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-27125)\/390600)\/(2\/8).\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 z when three letters picked without replacement from {z: 15, h: 5}.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-7)*z*z**(-2\/7))\/((z*z**11*z)\/z**10))**(-2\/17) assuming z is positive.\nAnswer: z**(130\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 316 and 4115?\nAnswer: 1300340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 3 - 2 + 4 + 2 - 4 + (4 + 3 - 6)*(-2 + 1 + 3))*(-6*j - 9 + 12 - 4) to m*j + g and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8\/21 in -4, -2, 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 225217*k + 3*k**3 - 225217*k + 4*k**3 + 342*k**2 - 342*k**2.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14*r**3 - 909457*r**2 - 123*r - 892351?\nAnswer: -84*r - 1818914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 261 and 3550847?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the third derivative of a**5\/60 - 17*a**4\/24 - 3*a**3 + a**2 - 6*a. What is c in t(c) = 0?\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15318, -30686, -46054, -61422, -76790?\nAnswer: -92158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -578, -1160, -1752, -2360, -2990, -3648?\nAnswer: -4340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 64774920*i - 20144384.\nAnswer: 64774920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -8*q + 7. Let j(g) = -g + 1. Let i(b) = -5*j(b) + z(b). Let h(l) = -154 - 12*l - 173 + 336. Suppose 2 = -5*y + 12. Calculate y*h(w) - 9*i(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f + 5 = 5*c, 531*c + 3*f + 12 = 533*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(-1)*q)\/q*q)**(-37)*(q\/(((q*q*q**(-1)*q)\/q*q)\/q))**(-3\/7) assuming q is positive.\nAnswer: q**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let -o**4 - 2*o**3 + 24*o**2 = 0. What is o?\nAnswer: -6, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 104876839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -357, 1311, 15, -3 in ascending order.\nAnswer: -357, -3, 15, 1311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -79*h**3 - 81*h**3 + 154*h**3.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*j + 5*j + j)*((-4 + 4 - 1)*(-1 - 5 + 3) + 2 - 4 - 3) in the form h + c*j and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 38086 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 632*d**3*m - 48586487*d**3 + 4*d**2*m + 1740*d*m + m wrt m.\nAnswer: 632*d**3 + 4*d**2 + 1740*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 5*d + 5. Let r(z) = -1. Let q(v) = -j(v) - 4*r(v). Suppose -3*l = 4*u - 13, 4*l + 2*u - 9 = -5. Give q(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**3 + 2275*u**2 - 195714*u + 139. What is b(83)?\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 1 + 364. Let q(k) = -i + 76 - k + k - k. Suppose -3*p + 18 = -2*a + 5*a, 0 = -3*p + 9. Calculate q(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1273928232.\nAnswer: 2, 3, 23, 47, 49103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -24 - -36. Let g = -2 + o. What is the lowest common multiple of g and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000017324563 to seven decimal places.\nAnswer: 0.0000173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 723, 1428, 2133?\n\"Answer: 705*k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1\/40 + -77\/120. Let g = -322 + 201. Let z = g + 117. Put 4, p, z in descending order.\nAnswer: 4, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2448)\/180)\/17*(-360)\/4.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 531 + -286. What are the prime factors of i?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1456 and 377272.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1305247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*c**3 - 288*c**2 - 3188*c + 3480.\nAnswer: -4*(c - 1)*(c + 15)*(c + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12*z**2 - 26*z**3 + 2*z + 6*z**3 + 6*z.\nAnswer: -4*z*(z - 1)*(5*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, 3, 5, -2.\nAnswer: -2, 3, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 668 + -626. What is the highest common divisor of b and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 83 is divided by 38?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -0*g - 2*g. Suppose 4*d - 3*d + 12 = g*b, 32 = 5*b - 3*d. Suppose -9*q + 220 = -b*q. What is the least common multiple of 28 and q?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9\/161320636 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/14)\/(58\/(-203))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4.2194 - -0.0406. Let a = 0.26 - z. What is the smallest value in 0.4, a, -8, -0.5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13304.\nAnswer: 2, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = 5*c - 20. Let k = -11 + c. Let q be (k\/8)\/(1\/(-4)). Solve -b = -q*b - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*u + 19*u - 230 + 114 + 104 + 16*u as x*u + o and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 5*z**4 - 185*z**3 - 16600*z**2 - 48000*z = 0.\nAnswer: -40, -3, 0, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1241.4 * 1\nAnswer: 1241.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -34, -46, -80, -148, -262, -434, -676, -1000?\n\"Answer: -2*n**3 + n**2 - n - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 314, 319, 326, 335, 346?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -12824*x**2 - 1136 + 2146*x**2 + 1136 in the form c*x**2 + l + y*x and give c.\nAnswer: -10678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -495, -482, -461, -432, -395, -350?\n\"Answer: 4*o**2 + o - 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 50902\/9 - 5650. Let f = -7883\/30 - -1273\/5. Calculate the common denominator of c and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11.5 - -9.5. Which is the third biggest value?  (a) q  (b) 9  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 65, 53, 47, 47, 53, 65, 83?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*n + 12 = 13*n. Let b(x) = x**2 - 9*x + 6. What are the prime factors of b(n)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the first derivative of -25\/2*c**2 + 0*c - 23. Let h(z) = 12*z + 5. Let l(n) = -5*n - 2. Let x(s) = -2*h(s) - 5*l(s). Calculate g(x(t)).\nAnswer: -25*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 16 + 0 = -2*r, -19 = 2*r - 5*c. Suppose 1533 = 5*l - 2*t - 1222, 5*l - 2755 = r*t. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-7)\/(7\/12))\/(((-18954)\/(-36))\/39)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - (-13 - (9 - 4)) - -35?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*r**4 + 31092*r**3 + 17740044*r**2 + 2631980412*r.\nAnswer: 4*r*(r + 303)**2*(r + 7167)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*q + 31 + 23. What is the biggest value in q, -3\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00040781744 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q**5 - 3*q**5 + 4*q**5 + (q**5 - q**5 - 2*q**5)*(3 + 1 - 5) + 3*q**5 + 0*q**5 - q**5)*(-7771 + 8627 + 14438).\nAnswer: 45882*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 32 and 29192.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a + 2. Let g(s) = s**3 + 21*s + 118. Let r(q) = -g(q) + 6*t(q). Find the first derivative of r(z) wrt z.\nAnswer: -3*z**2 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*b**2 + 9*b**3 - 11*b**2 + 3 + 20*b**2 as q + t*b**2 + d*b**3 + o*b and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*l**3 - 11600*l**2 + 746932*l + 758528.\nAnswer: -4*(l - 64)*(l + 1)*(l + 2963)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -170*j - 386*j + 2760 = -6*i + 2*i - 0*i, -4 = -i - i + 6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1176)\/14406*(-8)\/((-16)\/35).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*w**3 + 0*w**3 + 3*w**3)*(-179 + 414*w + 178 - 67*w**2 - 428*w).\nAnswer: 67*w**5 + 14*w**4 + w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, 2\/275, -2, 0 in descending order.\nAnswer: 2\/3, 2\/275, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 1 = 5*z + 2, 17 = 4*h + 3*z. Calculate the lowest common multiple of h and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-24 + -45850)*(2 - 1)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**3 + 15*n**2 + 15*n + 19. Give r(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**2 - 12*q + 11. Let s be i(11). Let 0 + 0*p**2 + s*p + 2\/9*p**3 = 0. Calculate p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 23 by 226.\nAnswer: 23\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 152315515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2ba (base 15) to base 3.\nAnswer: -212011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 14*l - 84. Let x be h(6). Solve -6*q - 22 + 4 = x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**2 + q + 186. Let v be j(0). Suppose -g - v = -0*g. Let i be 2\/(-7) - g\/14. Calculate the greatest common factor of 52 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes before 11:42 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -64*b**3*l*r - 88*b**3*l - 2*b**2*l - 5*b**2*r + l*r - l wrt b.\nAnswer: -384*l*r - 528*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4.8 + 1.1. Let r = -1.3 + k. Let y = 351\/55 + -31\/5. What is the second biggest value in y, r, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*a - 2 = 35*a. Solve -a*r - 2 = -10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6656 divided by 416\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5194275 - -271839.\nAnswer: -4922436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -bc7742 + -5c?\nAnswer: -bc77a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -5*x + 8. Let j(l) = 8 + 0 - 1 - 2 - 3*l. Let z(q) = 5*g(q) - 8*j(q). Let p(c) = 2*c + 0*c + 2*c + 3*c. What is p(z(b))?\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 87825075?\nAnswer: 3, 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 = 8*r - 5*r. Suppose -r*g + 15 = -4. Solve 2*d - g = 3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -267709\/11 + 24337. What is the common denominator of -167\/5502 and o?\nAnswer: 60522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = -t - 3*l, t = 3*t - l - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = -i - 2*k, -2*k + 0*k = 4*i - 184. Suppose i = -y + 493. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, -4, 0, 1092.\nAnswer: -12, -4, 0, 1092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 15*y**2 - 2*y + 1. Let r be t(1). Let z = -28 + r. Let g = z + 33. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*i**4*x - 164*i**3*x**3 - i*x**3 + 199*i wrt i.\nAnswer: 24*i**2*x - 984*i*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2351.18 and -2.23.\nAnswer: 5243.1314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4*h*p**2*w**3 + 195*h*p**2*w**2 + 2*p**2*w - 25*p**2 - 22*p*w**3 wrt h?\nAnswer: 4*p**2*w**3 + 195*p**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1586\/(-6)*-6*108\/2808.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 79807681 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the first derivative of -2*v**3\/15 - 4*v**2 - 40*v - 1494. Let t(d) = 0. What is d?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that 2*s**3\/15 - 15094*s**2\/15 + 15092*s\/15 = 0.\nAnswer: 0, 1, 7546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 31364807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -9*x**2 - 33*x. Let r(c) = c**2 + 4*c. Let f be (3 + (-1 - -23))*1. Let i = -8 - f. Calculate i*r(s) - 4*d(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (15 - 11 - 10 - -12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -8048, -64360, -217212, -514874, -1005616, -1737708, -2759420, -4119022?\n\"Answer: -8045*d**3 + 3*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6, -33, -86, -177, -318?\nAnswer: -521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 12 = -c. What is the third derivative of 0*y**2 + 16*y**4 - 22*y**c + 0*y**2 - 5*y**2 wrt y?\nAnswer: -144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000022263 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 5272 greater than or equal to 5280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes after 12:52 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 + -1. Let z = -0.6 - w. Which is the smallest value?  (a) 4  (b) -0.1  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 74 - 1651322?\nAnswer: -1651226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 + 2*s**2 + (-3 + 5*s - 13*s + 4)*(2*s - s + 4 - 3*s).\nAnswer: 18*s**2 - 34*s + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 230138 divided by -23\nAnswer: -10006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2\/21)*v**0*v*(v*((v**(-1)*v)\/v*v)\/v)**(-7))\/((v**(-2\/11)\/v*v**(-5)*v)\/(v*v**(-3\/2)*v*v**(-3\/2))) assuming v is positive.\nAnswer: v**(1175\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**3 + y**2. Let k be b(-1). Let g = 459 - 249. Let i be (36\/g)\/(6\/20). Is i < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 - -2.01. Let x = f + -0.01. Let w = 1 + x. Which is the nearest to -1?  (a) w  (b) 5\/3  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0\/13 + -1 + 5. Solve -4*f = 4*y - n, -3*f = -4*y - 7 - 17 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in twenty-five quarters of a meter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 3*b**2\/2 + 1284471*b + 549955249947\/2 = 0.\nAnswer: -428157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 2*a**2 - 3*a - 5. Let d(z) = z**2 - z - 3. Let g be ((-2)\/1)\/(12\/18). Give g*x(v) + 5*d(v).\nAnswer: -v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 399 a factor of 331569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (70\/(-22))\/(-1) + (-30)\/165. Suppose 0 = 2*b + 3*b - 85. Suppose 3*a - 2 + b = n, 2*n - 14 = -2*a. Solve -8 = k*i + 2*s + n, s + 1 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9.98503 + 0.01497. Sort j, -1, 0.07, 1\/2 in decreasing order.\nAnswer: j, 1\/2, 0.07, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -424 (base 7) to base 2\nAnswer: -11010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the first derivative of 5 - 3\/16*g**4 + 0*g**2 + 0*g + 1\/2*g**3. Factor l(p).\nAnswer: -3*p**2*(p - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {l: 5, a: 1, i: 1, p: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + sqrt(162))*-3 + 1)**2 + -4 + -6*((-4 + sqrt(162))**2 + sqrt(162)).\nAnswer: -486*sqrt(2) + 642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j - 26. Let w be g(7). Let d = w - -49. What is the smallest common multiple of d and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (45\/(-20))\/(12\/(-16)). Let c = -27 + 16. Let m = c - -15. Solve 2*o - 12 = m*v, -4*o - 1 - 30 = s*v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 141 - 139. Suppose 0 = -3*n - 4*l + 17, -l = -f*n + 5 - 1. Solve -4*z - 5*d - 22 = 0, n*d + 14 = -2*z - d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1874?\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1.2 * -0.11\nAnswer: 0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 + -1. Let h be 2 - (6 - 3 - k). Let a = 3\/409 - -2415\/5317. Which is smaller: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-177 - 41*w + 177)*(-2*w**3 + 2*w**3 - 6*w**3) - w**4 + 7*w**4 - 4*w**4.\nAnswer: 248*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2 - 18\/(3*-1). Let s be 4*(-2)\/(p*-1). Suppose -z + s*u = u, 2*z - 2 = u. Are 2 and z nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ccwc when four letters picked without replacement from wcbcbbwcb?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 7 - 1251?\nAnswer: -1246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 51847514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1947484518 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5486 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 - -11. Calculate the remainder when 6*a + -3 + 6 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -157027 divided by 3\nAnswer: -157027\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -153*o**2 + 139*o + 2 wrt o.\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l - l + 2*l)*(1 + 2*l + l - l).\nAnswer: 6*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 828145*z = 828081*z + 192. Suppose -4*k + 6*k - 34 = 0. Solve -4*r = z + k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {q: 3, h: 2, o: 5, w: 2}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o - 14. Let k be d(-7). Let s(g) = -g**3 - 8*g**2 - 6*g + 2. Calculate s(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 2)*(-48 + 48 - 21*r**3) + 4*r**2 + 3*r**3 - 4*r**2 + (4*r**2 - r**2 + 0*r**2)*(0*r + 0*r + 4*r).\nAnswer: 36*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 3 x when four letters picked without replacement from {s: 3, x: 5, r: 6, g: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**2 + 754*m - 142129.\nAnswer: -(m - 377)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*u + 6*u. Let p(w) be the third derivative of 0*w + 2*w**2 + 1\/50*w**6 + 0*w**3 + u + 1\/210*w**7 + 1\/60*w**4 + 3\/100*w**5. Factor p(m).\nAnswer: m*(m + 1)**2*(5*m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1280 divided by 320.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -93907, -188358, -282811, -377266, -471723?\n\"Answer: -w**2 - 94448*w + 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 645.8515ng in kilograms?\nAnswer: 0.0000000006458515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31735?\nAnswer: 5, 11, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pbpbp. What is prob of picking 3 p and 1 b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = 0, -5*l - 11*h + 13*h = 45915. Let n = 686094167\/74704 + -9999\/10672. Let g = l + n. Calculate the common denominator of g and -43\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9 + -20. Let h = p - -28. Calculate the remainder when h is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x + 3*n - 23, -2*x = n + 4 - 13. What is the second derivative of c - 1 + 2*c**x + 1 wrt c?\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9306*g**2 + 2 + 27771*g**2 + 2*g - 1 - 9263*g**2 - 9411*g**2 to a + i*g**2 + s*g and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 136\/16*(-135)\/((-270)\/(-8)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2 - 2) + 0 + 1. Suppose 2*m = s + 5. Let k(b) = -b + 4*b - 3*b + m*b. Let x(i) = -i**2. Calculate k(x(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 673285 to the nearest one thousand.\nAnswer: 673000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -10\/19, -4\/3, 0, 0.5, -41.67?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 1172 divide 1611012448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the second derivative of 1\/6*x**4 + 21\/2*x**2 + 0*x**3 + 7\/5*x**5 + 3 + 7*x. What is the third derivative of l(f) wrt f?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 34513231 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -309 = 2*r - w - 321, -30 = -3*r + 3*w. Solve -r*v = -130 + 128 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tttifafitff. What is prob of picking 1 t, 1 i, and 1 a?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -18*n**2 - n - 1. Let v be (-1735 - 0)\/5 + (1 - -3). Let o = v - -342. Calculate k(o).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 9*a = -72. Sort -0.3, a, -3 in decreasing order.\nAnswer: a, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 92064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -22898\/75 smaller than -306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 299 - 297. Solve -p*i = 6*i + 24 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -36, -77, -118, -159, -200, -241?\n\"Answer: -41*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rhhu when four letters picked without replacement from huqwrurhkwwukuwhuuk.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1057611\/23 + 45397. Let j = 586 + u. Is -1 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**2. Let v(s) = 223 - 473*s**2 + 231 - 596*s**2 - 454. What is g(v(n))?\nAnswer: 1142761*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 273279 and 426?\nAnswer: 546558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -229*c**2 + c - 88?\nAnswer: -458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 5, -24, -2, -16, -30 in decreasing order.\nAnswer: 9, 5, -2, -16, -24, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:50 AM and 4:22 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnooonmoonnnmnmnmon. Give prob of sequence nmoo.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 934 - 3649 = -15*j. Suppose j = 4*h + q, 0*q + 178 = 4*h - 2*q. What is the remainder when h is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 149*k. Let h(i) = 5*i. Give h(m(a)).\nAnswer: 745*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1 * -61820116\nAnswer: -61820116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3502012 (base 7) in base 4?\nAnswer: 1222312231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b - 10 = -3*g, -2*g - 14 = -5*g + 5*b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**3 + 4*q**2 + 5*q + 5. Let u be g(5). Let z be -1 + 3 + u + -7. Let d be z + 0 + (12 - -9). Solve -5*p - 4 = d for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 796901478 to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or -21\/4?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/2, 39, 3\/5?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -132 or -103?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 64 - -5?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 - 2 = -5*d. Let p(z) = 7*z - 9*z - d*z. Let t(f) = -2*f. Give p(t(c)).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.09 - 0.06. Let w = -0.75 - y. Which is the second smallest value?  (a) w  (b) 2  (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-8)\/(-6))\/(1\/3). Solve c - 7*u + 1 = -v*u, -4*c = -2*u - 16 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 99 - 183. Let x = -54 - p. What is the smallest common multiple of x and 35?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - ((-22 - (19 + -21)) + -3).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the third derivative of o**4\/4 - 5*o**3\/3 - 8*o**2. What is the units digit of j(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -47611\/18 + 2647. Let r = -77 + -33. Calculate the common denominator of (5 - 2) + 395\/r and z.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 - 2. Suppose 0 = -j*g + 17 + 11. Suppose -t + 1 = 2*w - 10, 0 = -4*w - t + 21. What is the smallest common multiple of w and g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 108 = g. Suppose -3*o = -2*w - 28, 3*o + 3*w - 21 - g = 0. What is the remainder when o is divided by ((-24)\/15)\/((-2)\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 5*m + 4*f, 12*m - 11*m + 5*f - 18 = 0. Let a(s) = -6*s. Let u(v) be the third derivative of v**4\/12 - 4*v**2. Give m*a(r) - 5*u(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 651 - (16\/2)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -538*d - 2768*d + 39226 = -107643 + 11323 for d.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1640\/(-280) - -2*3*1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes after 7:19 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*l - 45*l = -5877. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -3*f + 4. Let b(p) = 15*p - 21. Let j(k) = 4*b(k) + 21*m(k). What are the prime factors of j(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-176)\/(-110)*(-1)\/(-8)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the third derivative of 23*h**2 + 1\/270*h**5 + 0*h + 0 - 7\/54*h**4 + 49\/27*h**3. Suppose s(m) = 0. Calculate m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1193780686 to the nearest integer?\nAnswer: 1061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (((-2686)\/(-238) + -11)\/(1\/(-42)))\/(4\/(-38))\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 4*v - 2*v + 7 = 0, 0 = d - 3*v - 9. Suppose 5*z - 151 = r, -2*z = -d*z + r + 27. Suppose 44 = 3*s - z. Round s to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 3*u + 3 = 7, u - 28 = -5*d. Suppose -d*l + 460 + 495 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 921 + 104?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (63\/147)\/((-24)\/280).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 95 + 106*t - 95.\nAnswer: 106*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -2*x. Let z(b) = 31*b + 5. Determine -5*h(m) - z(m).\nAnswer: -21*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1040 = 35157*p - 35105*p for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/5, -75.697, 0 in increasing order.\nAnswer: -75.697, -3\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, -5, -4, -932431, 4, 2 in increasing order.\nAnswer: -932431, -5, -4, 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*67.99.\nAnswer: 6.799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2614, 3, 463?\nAnswer: 463","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 23*a**2 - 1. Let d be l(-2). Let r be -13*(-2 + -1 + 2). What is the highest common divisor of d and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 - 3. Suppose 2*y = 2*h - 6, 8*h - i*h = -3*y - 9. Let k(f) = -f + 16. List the prime factors of k(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 - (-7 + -12 + 2) - (24 + 1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -40, 2\/181, -3\/10 in decreasing order.\nAnswer: 2\/181, -3\/10, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13070?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/216 and 121\/576?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8851054 - 2691054. Round o to the nearest one hundred thousand.\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*s = -23*s - 5. Let a be (s - 2)\/(-1*(-1)\/(-31)). What is the greatest common divisor of 186 and a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29802525757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 17*f + 6. Determine c(2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -39, 37, 3.\nAnswer: -39, 3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.9 in 1\/2, 0, -139, 17?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -16628 + 1?\nAnswer: -16627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 9048494 divided by -14?\nAnswer: -646321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -130.31 - 1.69. Let d = 132.661 + n. What is d rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55.19434l in millilitres?\nAnswer: 55194.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2500925896 to the nearest integer?\nAnswer: 1357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -3*h + 2. Let k(w) = w**2 - 7*w + 4. What is 2*k(b) - 5*p(b)?\nAnswer: 2*b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 6) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + (3 - 1) + -22 + (-7 - -23)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7\/115 in 0.2, 4, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*-1*sqrt(119) - (sqrt(119) + (sqrt(119) - sqrt(119)*2)*-4) - 2*sqrt(119)*-2*6)\/((sqrt(350)\/sqrt(360))\/(sqrt(5) + 5*sqrt(125))).\nAnswer: 2808*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the second derivative of -f**5\/20 + 7*f**4\/12 - 5*f**3\/6 - 3*f**2 + 3*f. Let c be i(6). Suppose -3*t = -c*t - 105. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 16*b**2 - 1. Let c(m) = -m**3 - 39*m**2 + 28*m - 455. Calculate the remainder when c(-40) is divided by x(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes after 12:36 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the third derivative of r**6\/120 - r**5\/20 + 5*r**4\/24 - r**3\/3 + r**2 + 7. Let m be j(2). Solve -4*y - 4 = -m*s, y + 4*y = s + 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 123*d = 117*d - 192*d - 1980 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(684)*4 + -3)**2.\nAnswer: -144*sqrt(19) + 10953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = -4*v - v - 5, 2*v + 2 = -5*a. Let r = v - -4. Suppose -d = -2 - 1. Solve -r = d*f - 3*t, 2*f + 2*t = -0*t + 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-126*l**4 - 29*l**4 - 27*l**4)*(-3 - 4 + 0 + (4 - 4 + 2)*(2 + 0 - 1)).\nAnswer: 910*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 551 divided by -6\nAnswer: -551\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -877*g**3*i + 913*g**3 wrt i?\nAnswer: -877*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(48\/(-6)))\/((-6)\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1628384 a multiple of 337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 2*g. Let h(b) = -40*b**2 + 25*b. Let c(t) = -4*t**2 + t. Let n(q) = -6*c(q) + h(q). Calculate k(n(f)).\nAnswer: -32*f**2 + 38*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 389564, 0, -3, -2 in increasing order.\nAnswer: -4, -3, -2, 0, 389564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 2*b**2. Let i(y) = -59339*y**2. Give c(i(o)).\nAnswer: 7042233842*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 16*t**2 - 8*t + 2. Suppose -5*x + 6*n + 25 = n, n = -3. Let m(f) = 1 + 4*f**x - 10*f + 11*f + f**2 - 4*f. Calculate 3*k(v) - 8*m(v).\nAnswer: 8*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -46.952 - 0.048. Let s = v + 82. Let k = -1284 + 1283. Which is greater: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes after 7:35 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 464 - 460. Suppose 234 = 3*x + w - 280, -x + 180 = -z*w. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 37 - 164100?\nAnswer: -164052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1343, 1248, 1089, 866, 579, 228, -187?\nAnswer: -666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 r when two letters picked without replacement from ppprpppppppp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -3*j**2. Let n(d) = 11*d + 2. Let k(q) be the first derivative of -72*q**2 - 27*q - 11. Let m(h) = 2*k(h) + 27*n(h). Give m(x(g)).\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47 = 5*q - 4*l, -540*q - l + 15 = -538*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -153 - 11608*n - 751 + 23229*n - 11604*n - 42 + 0*n + 4*n - 2*n + (4 - 3 - 3)*(-3*n + 2*n + 0*n).\nAnswer: 21*n - 946","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1182464471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5, 4, 3, 2, 1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, u: 2, d: 2, k: 1, t: 2, f: 1}. Give prob of picking 1 d, 1 k, and 1 i.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 15\/3*(-97)\/(-485)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 8481760\/23 or 368773?\nAnswer: 368773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -1893040.853 to the nearest 10000.\nAnswer: -1890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence anha when four letters picked without replacement from hhanhahhhaahn.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -3385758 divided by 18203?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -62\/2233 and 61\/12441?\nAnswer: 87087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -4*i**2 + 9*i - 6. Let u be f(2). Let m be (u + (3 - -1))\/3. Let l(g) = -1 + g + 0*g - 1. Calculate l(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -116*o**2 - 14*o - 18. Let m be z(-6). Round m to the nearest 100.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 2*h + 34. Let s be p(-14). Let u(n) = -n**3 + 5*n**2 + 7*n. Determine u(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -84 - -81. Let h(d) = -d - 1. What is the units digit of h(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 242 + 285 = -2*c, -g + 2*c = -7. Solve g*y - 15 = 14*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cec when three letters picked without replacement from ceecceeeccce.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7393.285 - -756.025. Let w = 8143.2100224 - v. Let j = w + 6.1. What is j rounded to 6 dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u - 691 = -135*b, 7061*u = 4*b + 7057*u - 36 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3\/8, 4055\/2, -3, 0.13616?\nAnswer: 0.13616","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, 0.097, -0.079, -0.5, 5 in increasing order.\nAnswer: -0.5, -0.079, 0.097, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-42)\/70*2\/(-6). Determine d so that -1\/5 + 2\/5*d**2 + y*d - 2\/5*d**3 - 1\/5*d**4 + 1\/5*d**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3\/10, 2\/5, -3, -1\/4, 3\/20, -11\/4?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1352 - -1355. Suppose -5*x + 3*x + 6 = 0. Suppose -h - 2*g - c = 0, x*g + 1 + 9 = 4*h. Solve -5*v - i = -h, 2*v + 5*i - 3*i + 6 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-60 - 435 + 4469)*(-2*r + 1 - 1).\nAnswer: -7948*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11282, -90540, -305724, -724796, -1415718, -2446452, -3884960, -5799204?\nAnswer: -8257146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 4*g - g + g - g.\nAnswer: -5*g - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -57\/16 and ((-6)\/8)\/((-6)\/5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(-6) + (-16590)\/(-45). Suppose -4*w - 4*a + 372 = 0, w - a + l = 5*w. Let c = w + -23. Calculate the remainder when c is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**2 - 22*u - 1733. Calculate a(54).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 194.8, -97\/3, -2\/69 in decreasing order.\nAnswer: 194.8, -2\/69, -97\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put together -34399499 and -11886.\nAnswer: -34411385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -325166*k + 2. Let i be m(-6). Let w = 3286625 - i. Let u = w - 3835627. Round u to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 153745 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*o + 29*o = -26*o + 1224 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*c - 35*c = 156 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 170.141 - 167. Let p = y + -0.141. Which is smaller: 12 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tst when three letters picked without replacement from {s: 2, t: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -5*v - 41. Give i(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*p + 6*p + 495. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the third derivative of 0*v - 4*v**2 + 0*v**3 + 1\/15*v**5 + 0 + 0*v**4. Let w(z) be the first derivative of -z**2\/2 + 5. Calculate j(w(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*d**3 - 9*d**3 - 15*d**3 - 3*d**3 - 29*d**3.\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 45803180 to the nearest 100000.\nAnswer: 45800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d - 5*z, -5*d - z - z = 0. Suppose d = -2*x + x + 42. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that 2*f**3\/7 - 15398254*f**2\/7 + 30796502*f\/7 - 2199750 = 0.\nAnswer: 1, 7699125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 140\/30 + (-1)\/(-3). Suppose -4*y - 8 = 2*o, 0 = 3*y - 4*o + 5*o + g. What is the closest to y in -2\/5, -0.2, -0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.212587 millilitres in litres?\nAnswer: 0.008212587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (132\/(-8))\/(3507\/11690).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = i + 11. Let y be ((-2)\/(-14))\/((-12)\/i). Let g be -6*5\/(-10) + 0. Which is the biggest value?  (a) y  (b) -4\/7  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = l - 72. Let j be (l\/(-12))\/((-1)\/2). What is the greatest common factor of j and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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: Solve -4*k = 14*k + 126 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(-98) - 5638659\/9040304.\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000255315865 rounded to six decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 137, -2, -19, 2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**3 + 5311*c**2 - 5844978*c.\nAnswer: -c*(c - 3754)*(c - 1557)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 18 - 27. Let x = 8 + q. Let c = -1 + -1. Do x and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 + 0\/2)*-257. Let l = 1281\/5 + q. Let i = -6.58 + 3.58. Which is the second smallest value?  (a) 3  (b) l  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -263, 0.1, -1\/4, 1\/68, -0.1 in decreasing order.\nAnswer: 0.1, 1\/68, 0, -0.1, -1\/4, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 78340.78ng in tonnes?\nAnswer: 0.00000000007834078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.3672 + -0.3672. Which is the nearest to 0.5?  (a) o  (b) -1  (c) -0.4  (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.4 - 0.5. Let m = -0.386 + -0.014. Which is the nearest to l?  (a) -4\/5  (b) m  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2809781 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2057300 + -27?\nAnswer: -2057327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**3\/x**(-4)*((x**(-7)*x)\/x*x)\/(x\/(x\/x**(-6))))**46 assuming x is positive.\nAnswer: x**322","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -95544\/67 - -1426. Let n = q + 81\/469. Find b such that -n*b**2 - 1\/7 + 2\/7*b = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -517*z + 1663. Calculate y(3).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10095, -10108, -10143, -10212, -10327?\nAnswer: -10500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -20001 - -230?\nAnswer: -13111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 5152440 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 2*j = -868 + 3876, -4*n - j = -2404. Calculate the least common multiple of ((-168)\/10)\/((-6036)\/n + 10) and 2.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the second derivative of 185*k**8\/8 + k**5\/10 - 1313*k**4\/12 - 3*k + 88. Find the third derivative of z(l) wrt l.\nAnswer: 155400*l**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 617.3786ns?\nAnswer: 0.0006173786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 356*(25\/250)\/(12*2\/60).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7047 - 6855. What is the least common multiple of 7 and j?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -18 - -56. List the prime factors of i.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 537\/1074 + (-1)\/(2\/11) - (-766)\/154?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*j + 23*j = -4*q + 19, 2*j = 5*q + 30 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**3 - y**2 + 1. Let d be o(2). Suppose k - d = 3. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 231 and 489835269?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 955b (base 12) to base 4\nAnswer: 3333113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 2*a**2 + 9*a + 2. Let t(b) = b**3 + b**2 + b + 1. What is s(g) - 2*t(g)?\nAnswer: -2*g**3 + 7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.29 - 0.09. Let w = 0.1 - t. Which is smaller: 0.2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 96108574 - 9.2.\nAnswer: 96108564.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10 + -6. Solve -5*d + 15 = 2*b, 0 = d + 2*b + u + 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 5*l = 5, -2*z + 3*l + 10 = l. Let h(m) be the second derivative of 1\/30*m**z + 2\/9*m**4 + 0 + 5\/9*m**3 + 8*m + 2\/3*m**2. Factor h(u).\nAnswer: 2*(u + 1)**2*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*p**2 + 2 - 2 + (0*p - p - p)*(-4*p + 3*p - p) - 21*p**2 + 9*p**2 - 3*p**2.\nAnswer: -13*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2\/3531 - -10585\/14124. Is l equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 741948?\nAnswer: 2, 3, 17, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 79 + 5. Calculate the remainder when 63*(-19 - (-906)\/42) is divided by o.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10230 + -1?\nAnswer: 10224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0 and -1264?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/2)\/(414\/(-184))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**3 - 13*q**2 - 15*q - 2. Let g be a(-12). Suppose 0 = 2*r + g + 30. Let v be (-8)\/r + 7\/4. What is v rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 364\/(-14)*(-24)\/288\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(1100)*2*3 + -1*(-3 + sqrt(1100) + 0))*-5)**2.\nAnswer: -19500*sqrt(11) + 4647725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 592727 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 216 and 244008?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 39 = -3*k, -3*k = -2*k + 4*h - 30. Let t = -136 + 139. Suppose 4*u = f - k, -u - 3 = t*f - 5. Solve 5 = i + f*g, -3*i - 4*g = i - 12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29, 45, 85, 161, 285?\nAnswer: 469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * 0.55\nAnswer: 0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17*d**2 - 2*d + d**4 - 2*d**4 + 0*d - 84*d**3 + 3*d**4 + 18*d**2 to the form i*d**2 + w*d**4 + b + v*d**3 + c*d and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 38 (base 10) to base 2\nAnswer: 100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 18*h - 45. What is j(1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*y - 8*x - 42, -967 = y - 4*x - 981 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 294*(-12)\/(-135) - (-174)\/(-1305)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/132 and -14\/99.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 74.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5499, -5480, -5441, -5376, -5279, -5144, -4965, -4736?\nAnswer: -4451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p - 20, 5*s + 300 - 2154 = p. Suppose -j + 4*j = -3, -5*i - 5*j + s = 0. Calculate the highest common divisor of 30 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*(v\/v**(2\/5))\/v)\/(((v\/(v**3*v)*v*v)\/v)\/v)*(v*v**(-2\/7)*v)**39)**1 assuming v is positive.\nAnswer: v**(2466\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Add together 147978 and -8.2.\nAnswer: 147969.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1.984*0.2718\nAnswer: -0.5392512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 912062998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/42)\/((-5)\/(-30)*-2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 30026\/1433 or 22?\nAnswer: 30026\/1433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the first derivative of -o**4\/28 - 8*o**3\/7 - 96*o**2\/7 - 512*o\/7 + 18. Factor b(w).\nAnswer: -(w + 8)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 48 = -3*l - 15, 2*o - 3*l - 9 = 0. Let z(w) = -4*w + 7. Calculate z(o).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-44 + 27 - 34 + (1 + 3 - 2)*(4 - 3 - 4))*(o + 9 - 10 - 4*o)*(-5*o + 0*o + 3*o) as p + i*o + y*o**2 and give y.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 64\/11 - -5 - 2\/(-11). Let u be 7*((-24)\/(-14))\/1. Is u < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1176, 4882, 11084, 19782, 30976, 44666?\n\"Answer: 1248*b**2 - 38*b - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1172*t**3 - 1174*t**3 + 0 + 0.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 26 divided by 60456?\nAnswer: 13\/30228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dl when two letters picked without replacement from dddl?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 40 = 6*u. Let f = 4390 + -4391. Which is greater: f or u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/23*184\/16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -8784, -16748, -24712, -32676, -40640, -48604?\n\"Answer: -7964*l - 820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -368.8 - -376. Let m = x - 10.2. Sort 5, -18, m in increasing order.\nAnswer: -18, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c - c - c)*(1 + 1 - 7 - c).\nAnswer: c**2 + 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 46786 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(1\/2)*m)**24*(m*m**(2\/3)\/m)\/m*m\/m**(-2\/7) assuming m is positive.\nAnswer: m**(1280\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1134255 (base 6) to base 3\nAnswer: 10000022222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**9*s\/(s*s\/((s*s*s\/(s*s**(-7\/3)\/s*s)*s*s)\/s)))\/(s\/(s\/(s*(s*s**(2\/27)*s*s)\/s*s))*s*s*s**22*s))**(-20) assuming s is positive.\nAnswer: s**(8500\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 8674 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 11989 - -0.1706\nAnswer: 11989.1706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -53*u. Let y(a) = 4*a - 5. Calculate y(o(l)).\nAnswer: -212*l - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 907637413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1419\/(-258)*560\/110?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -2 - 7*c - 3 + 2*c**2 + 7*c. Let o(z) = -2*z**2 + 6. Give 4*o(u) + 5*s(u).\nAnswer: 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the first derivative of 11*i**7\/840 - 3*i**4\/4 + 5*i**3\/3 - 13. Let x(o) be the third derivative of v(o). What is the derivative of x(g) wrt g?\nAnswer: 33*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*z + 20 - 20.\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0 + 0 - (-2 - -2). Suppose -k + 252 = -x*k + f, -2*f - 1020 = -4*k. Let b = -164 + k. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 319179 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 13*c**4 - 2*c - 19. Let p(u) = -u. Let l(f) = 2*i(f) - 4*p(f). What is the derivative of l(r) wrt r?\nAnswer: 104*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15032393.\nAnswer: 15032393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-36 - -25) + (1 - 15) - (1 + -8).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w + 16 = -2*l, -3811*l + 3807*l - 9*w = -137 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-64)\/(-6)*(-390)\/(-52). Let n be 3\/(-15)*j\/(-8). Solve -v + 2 = 3*i, 3*i = n*v - 3 - 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -225 + 286. What is the remainder when 236 is divided by n?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*f + 3*f - 2*f)*(1 + 0 - 3)*(2*f + 1 - 1) - 3*f**2 + 5*f**2 - 4*f**2 to the form m*f**2 + r + j*f and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 60, -2\/5, -0.3, 4\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3 + -4 - -1 - -4. Suppose 7*b - 9 = h*b. Suppose b*s = s + 8. Solve k + 0*k + s = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5775 and 223135.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 330 divided by 110\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -5445281 + 13286.3\nAnswer: -5431994.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1011?\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 3 + 21*g - 9 + 7 - 2. Let b(r) = r**2 + r - 1. Let l(i) = i - 1. Let j(v) = b(v) - l(v). Give w(j(t)).\nAnswer: 21*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 2753 = -13*w + 12*w, 0 = -c - 5. Calculate the greatest common divisor of 59 and w.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p + 5. Let i be w(-4). Let m(y) = 37*y + 1. Let t be m(i). Let s = t + -26. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*l**3 + 3*l**3 + 6*l**3 - 19*l**3.\nAnswer: -27*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -462, -445, -440, -459, -514?\n\"Answer: -2*p**3 + 6*p**2 + 13*p - 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (920\/(-28))\/(1\/(-7)). Let j = -11 + v. What are the prime factors of j?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 506444963 and 5009?\nAnswer: 5009","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.3 at least -115.386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -19*t**2 - 2*t + 7. Let w(s) = -17*s**2 - 2*s + 9. Let q(c) = 3*w(c) - 4*y(c). What is the lowest common multiple of 322 and q(-1)?\nAnswer: 3542","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2\/3  (b) -4\/249  (c) -6  (d) 17  (e) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 55641 * -0.3\nAnswer: -16692.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the first derivative of -g**3\/3 - 6*g**2 + 21*g - 1061. What is a(-12)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11)\/((-65)\/26*10\/(-700)*-14)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -17 - -10399?\nAnswer: 10382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 135442477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -4\/15  (b) 0.8  (c) -0.5  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + 6 = p. Let f = -683 - -512. Let a be p\/15 + f\/15. Is a > -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 8*f**2 - 158*f + 450. Let c(i) = -15*i**2 + 303*i - 900. Let l(s) = -5*c(s) - 9*m(s). Determine k so that l(k) = 0.\nAnswer: 6, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.48*18.\nAnswer: 8.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 143637 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**2 + 15*r + 15. Let l be h(-14). Calculate the highest common factor of l and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3954*w - 39936 = 309208 + 97658 for w.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3.4 + 4. Let g = -1.1 + y. Let t = g - -0.6. Which is smaller: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 66\/230 + 85\/(-425)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 15 - 10 - 8 - (-2 - -5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 35 and 106585.\nAnswer: 746095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/27*9\/15?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/1490800 and -43\/819940.\nAnswer: 16398800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 112*g = 248*g - 114*g - 660 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*q - 738 = -71*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6271937797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 221, 759, 1649, 2891?\nAnswer: 4485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**3\/(i**(2\/3)\/i)*i**(-3)*i*i*i**(-2\/7))\/(i*i**(-7)*i*i*i*i*i\/i**(-2\/11)*((i**(-1\/4)\/i)\/i)**(-18)) assuming i is positive.\nAnswer: i**(-17387\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**3\/3 - 38*u**2\/3 - 132*u - 216.\nAnswer: -(u + 2)*(u + 18)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*y**2\/5 - 186*y\/5 + 189\/5.\nAnswer: -3*(y - 1)*(y + 63)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the second derivative of -o**7\/42 - 17*o**5\/10 - o**4\/4 - 7*o**3\/2 - 42*o - 2. Find the third derivative of n(v) wrt v.\nAnswer: -60*v**2 - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -589 + 62*t**2 + 0*t + 66*t**2 + 2*t - 35*t**2.\nAnswer: 93*t**2 + 2*t - 589","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) 2\/5  (c) -5\/2  (d) 2\/7583  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5 - 2 + 5)*(-3 - 2*s + 3 - 2*s + 5*s - 4*s + (0*s + 2*s + 0*s)*(-1 - 3 + 3) + 2*s - s - 3*s) - 2*s - s + s to the form r*s + n and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-40)\/(-15) - (-1)\/3. Suppose -2*p + 25 = x*p. Suppose -2*v + 5*j + 34 = 0, -4*v + 8 + 60 = p*j. Calculate the greatest common factor of v and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2575 and -255.\nAnswer: 656625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**2)**(-3\/10)*(k\/(k\/k**(1\/11)))\/k*k**(-2\/19)*k)**(-2\/19) assuming k is positive.\nAnswer: k**(1911\/19855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(228)*2*-5 + sqrt(228) - sqrt(228)*1*-3))\/((sqrt(60) - sqrt(720)\/(sqrt(12) - sqrt(192)))\/((sqrt(405) - sqrt(45))\/sqrt(9))).\nAnswer: -9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 154796.61 to the nearest one hundred.\nAnswer: 154800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -305, -307, -301, -281, -241?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the second derivative of d**4\/12 - 4*d**2 - 12*d. Differentiate k(p) wrt p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 375 a factor of 259125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2316?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**2 + 4*y + 2. Suppose 2*r = 6*r - 16. Let d be v(r). What is the third derivative of 3*a**2 - a**d - 3*a**6 + 7*a**6 - 4*a**2 wrt a?\nAnswer: 480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 166*p**2 + 21*p + 216. Let l(r) = -995*r**2 - 125*r - 1260. Determine -35*k(b) - 6*l(b).\nAnswer: 160*b**2 + 15*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 divided by -3598?\nAnswer: 5\/1799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -51\/11 and -6\/149?\nAnswer: 1639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 273 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(3\/19))**(-26\/3))**(-39) assuming i is positive.\nAnswer: i**(1014\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 32955 and 8190?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -6*m + 6. Let b be (-1 + 7)*(-2 - -1). Let h(f) = -5*f + 5. Let c(p) = b*k(p) + 7*h(p). What is the first derivative of c(j) wrt j?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 109.4 + -124. Let i = v + 15. Let q be 1\/(-2) - (-18)\/52. Which is the second biggest value?  (a) i  (b) 0  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*t = -3*t - 8. Suppose -400*l + 9748 - 8148 = 0. Solve 0 = l*m - 2*a - 0 - 6, 5*m + 3*a = t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (1 + -1*(-4*sqrt(2448))**2 - (6*(sqrt(2448) + 0)*6)**2).\nAnswer: -3211773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-8\/3)*z*z*z**6*z assuming z is positive.\nAnswer: z**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6231 + 6231 - a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the first derivative of -4*u**3\/3 + 368*u**2 + 472. Solve n(q) = 0.\nAnswer: 0, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -57, -132, -209, -288, -369?\nAnswer: -452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1 - (-12)\/(-8))*-10. Solve 4*v = -4*t, 5*t - b*v = -v - 18 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**3 + 6*u**2 + 11*u + 14. Let a be d(-6). Is (0 + 33)*a\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2959 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the third derivative of g**5\/330 - 86*g**4\/33 + 29584*g**3\/33 + g**2 - 926. Factor p(t).\nAnswer: 2*(t - 172)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -6*u - 2 + 2*u**2 + 1 - 1. What are the prime factors of i(-3)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -106 + 319\/3. Is j at least 18\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*n - 6*n + n)*(6 + 0 - 4)*(-4 + 4 + 1)*(1 + 1 - 3) - 5 + 5 + 3*n.\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 194324622 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the first derivative of -g**3\/3 - 5*g**2\/2 - 6*g - 2. Let x = -23 - -28. Suppose -6*h + 2*h + 4*b - 4 = 0, x = h - 3*b. Calculate u(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (12*n - 9*n - 10*n)*(2 - 2 - 9*n)*(n**2 + 0*n**2 - 3*n**2) to c*n + f*n**3 + x*n**2 + q + d*n**4 and give d.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 25906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -138691 = -6356*o - 357043 - 112160 for o.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10045)\/(-1148))\/(7\/(-16))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 873\/194*((-2)\/2)\/15.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 237, 1317, 4149, 9579, 18453?\nAnswer: 31617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 588414865?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/2*-6*(-3172)\/61854?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*p - p - 4*p)*(p - 5*p + 5*p) + (3*p + 0*p + 0*p)*(-p - 9*p + 3*p) as a*p + d + i*p**2 and give i.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 44686 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + i + 0 = -5, 5*f + 3*i + 15 = 0. Which is bigger: -1\/124 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 98821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 347292 and 12408.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*v**2 + 4*v**2 + v**2)*(-130 + 100 + 2575 + 4471 + 207).\nAnswer: 21669*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 250698570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 8\/6*(8 - 5). Suppose -3*c + 9 = -d - 8, 0 = -2*d - a. Suppose -c*u + 116 = -4*u. What are the prime factors of u?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + 5103 - 5137 = -3*h, -53 = -3*k - 5*h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 777 - 776. Which is the fourth smallest value?  (a) -2\/5  (b) 7  (c) p  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d = -2*y - 18, 11*d - 14*d = 4*y + 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - s + 3)*(4*s - 3*s + s + 3*s - s + 0*s + (3 - 1 - 4)*(s + 0*s - 3*s) + s + 5*s + 2*s).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -6*(-5)\/(45\/6). Suppose 0 = 2*n + n - o*q - 294016, 98012 = n - 3*q. Let z be 10\/(((-6)\/n)\/(-3)). Round z to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes after 9:20 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-148)\/1110 + (-1)\/(-3)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from viimvivi. What is prob of sequence iii?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the first derivative of -k**5\/40 - k**4\/8 - k**3\/4 - k**2\/4 - 2*k + 2. Let z(g) be the first derivative of x(g). What is p in z(p) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43968002 to the power of 1\/2, to the nearest integer?\nAnswer: 6631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*i - 118 = -525. Solve -3 = i*w - 34*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*l**2 - 41080*l + 328960 = 0. Calculate l.\nAnswer: -8224, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -19, 5, 2\/9, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 880 - -2606. What is the highest common divisor of f and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1404864839?\nAnswer: 7, 281, 102031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:17 AM and 7:14 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11657 + -23315\/2. Sort 4, -1, -0.4, -1.3, l in decreasing order.\nAnswer: 4, -0.4, l, -1, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i, 2 c, and 1 u when four letters picked without replacement from {i: 3, c: 3, u: 1}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.45348, 0.3, 325.\nAnswer: 0.3, 0.45348, 325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 172\/(-6)*(-4 + 1). Suppose -d = -3*w + 175. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 0.3, -1, 0.04 in descending order.\nAnswer: 0.3, 0.04, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -661, -102, 835, 2150, 3843?\n\"Answer: 189*y**2 - 8*y - 842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 0.6335403 centuries?\nAnswer: 63.35403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 164308266?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the third derivative of b**5\/20 + b**4\/24 - b**3\/3 + 6*b**2. What is l(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in one sixteenth of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 176 and 23391984.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the first derivative of -s**6\/1080 - s**5\/360 - s**3\/3 - 1. Let m(j) be the third derivative of x(j). Find q, given that m(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -54185, 2 in increasing order.\nAnswer: -54185, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -1388 less than -1387?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**2 - 92*l - 669. Let w be s(-8). Let o(y) = -y**3 + 7*y**2 - y + 3. What is o(w)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the second derivative of f**4\/3 + 32*f**3\/3 + 128*f**2 - 4*f. Factor d(c).\nAnswer: 4*(c + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the second derivative of 169*c**7\/21 + c**5\/10 + 15*c**4\/4 + c**2 + 5*c + 475. Find the third derivative of i(l) wrt l.\nAnswer: 20280*l**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -75345255*v - 10621371 wrt v.\nAnswer: -75345255","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 44\/374 - ((-8280)\/(-595))\/9.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.15645 rounded to 3 dps?\nAnswer: -0.156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 23*c**2 + 2*c. Let u(x) = x**2 - x. Give q(b) + 2*u(b).\nAnswer: 25*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l + 4. What is the remainder when d(-5) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 617 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3211423034 (base 5) to base 14.\nAnswer: c79531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = -5*u - 0*u. Suppose -k - k = u. Sort 4, -2, k in increasing order.\nAnswer: k, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 664 and 3403.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 352776 + -352775.4999992. Let k = l + -0.5. Round k to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + n - 9 = -2*n, 4*h - 2*n = 4. Let g = 273 - 113. Suppose 5*v + 8*r = 3*r + g, -h*v - 5*r + 92 = 0. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6760769 and 1072?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the second derivative of d**5\/20 - d**3\/2 + d. Find the second derivative of y(s) wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -7 + 2*f**2 + f**3 + 8*f**2 - 10*f + 4*f**3 - 6*f**3. Let q be w(8). Suppose -m - 46 = -2*r, 3*m + q - 143 = -4*r. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 794*f**2 + 72 - 72.\nAnswer: 794*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the third derivative of 0 + 9*n**3 + 0*n - 136*n**2 + 0*n**4 - 71\/30*n**5. Differentiate f(k) wrt k.\nAnswer: -284*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(1\/4)\/y)**22 assuming y is positive.\nAnswer: y**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 3*h**3 - 63*h**2 - 13*h + 24. Give j(21).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 3*o = 55, 3*s - o = -2*o + 55. Is 21 a factor of ((-408)\/s)\/(3\/30*-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**4\/4 + 5*l**3\/4 - 3*l**2\/2 - l + 2.\nAnswer: -(l - 2)**3*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 826 a factor of 207217344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4\/4336411 or 0?\nAnswer: -4\/4336411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 2, l: 3, q: 1, a: 2, n: 9}. What is prob of sequence nalq?\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**2 + 1. Let p(m) = 7*m**2 + m + 8. Let n(g) = 24*l(g) - 3*p(g). Factor n(d).\nAnswer: 3*d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 8, 3\/7, -0.0007?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16112?\nAnswer: 2, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -4 + (5 - 2) + -5. Let a(f) = 2*f**2 + 5*f - 1. What are the prime factors of a(b)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that 18*t**3\/11 + 380*t**2 - 11762*t\/11 - 2820\/11 = 0.\nAnswer: -235, -2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is fourteeen ninths of a day in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*x**4 - 4*x**4 - x**4 + 2*x**4 + 0*x**4 + 7*x**4 + (-2 + 1 + 3)*(-2*x**4 - x**4 + 5*x**4).\nAnswer: 14*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 1548\/48865?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sum -44 and 6792.18378.\nAnswer: 6748.18378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -u**4 - 42451*u**2 + 865*u + 70 wrt u?\nAnswer: -12*u**2 - 84902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, -31, -2, 2\/13, -0.003 in increasing order.\nAnswer: -31, -2, -0.003, 2\/13, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the second derivative of -j**3\/6 - 9*j**2\/2 + 2*j + 52. Suppose 3*i + 5*o + 35 = 0, 4*i = i + 5*o + 5. Determine n(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 8 = -4*a, -1 = -4*j - a + 1. Find the common denominator of j + 2 - (-183)\/18 and -19\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*f + 2 - 2 + (4*f + 0*f - f)*(3374 - 72 - 160).\nAnswer: 9424*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10\/(-35) + ((-58)\/(-7) - (-30)\/5).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 251193191 to the power of 1\/2, to the nearest integer?\nAnswer: 15849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 21 - 13. Let k be 3 + -1 - z\/2. Put -3, k, 3 in descending order.\nAnswer: 3, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.11 - 5.89. Let k = 9 + r. Suppose -9 = 4*z + 5*o - 2*o, 0 = -3*o - 9. Which is the second biggest value?  (a) -0.1  (b) k  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -178250 greater than or equal to -178250?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 1339, -4, 1 in ascending order.\nAnswer: -4, 1, 1339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -260100*t**3 + 66325500*t**2 + 431281563750 - 8456501250*t + 510*t**4 - 2\/5*t**5.\nAnswer: -2*(t - 255)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 - -11010?\nAnswer: 11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -618 - -326. Let z = -196 - u. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by -192006\nAnswer: 1\/64002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 65 + -55. Suppose 3*w - s = -o, 5*o + 0*o + w = 36. Suppose -o*d - 20 = -48. Solve 3*t - 3*f - 6 = -3, d*f + 8 = 3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 5 = -1. Suppose 3*s - 33 = -3*v, -2*v + 10 = s + 1. Calculate the remainder when 147\/f*6\/9 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 118*u**5 - 7*u**4 + 2*u**3 - 3804*u**2 + 34?\nAnswer: 7080*u**2 - 168*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (304\/(-56))\/(3985\/1330 + -3). What is the greatest common divisor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (9 - 15 - 19)*(1 + 1 + 3)*(-2*g + 2*g + 6*g + (g - 5 + 5)*(1 - 1 + 1) - g + 2*g - 3*g) + g + 0 + 0 to j + y*g and give y.\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5170bd (base 14) in base 4?\nAnswer: 22132220133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.5  (b) -0.3  (c) -3  (d) -5  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -13d - -1?\nAnswer: -13c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the third derivative of -w**4\/12 - 5*w**3\/6 - 5*w**2. Let g be 6\/(-15)*875\/(-70). Let l(j) = 3*j + 7. Calculate g*l(h) + 8*v(h).\nAnswer: -h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the first derivative of -r**5\/100 + r**4\/40 + r**3\/5 - 25*r**2\/2 + 25. Let n(h) be the second derivative of w(h). Find v, given that n(v) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -3*x - 2. Let l(d) = d**2 + 5*d + 2. Let a be l(-3). What are the prime factors of w(a)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**22*j)\/j*j)\/(j**(-11\/5)\/j) assuming j is positive.\nAnswer: j**(131\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -199*a**2*t**3 + 1370*a**2*t - 3*a*t - 3*a + 7*t**3 + 22*t**2 + 5 wrt a.\nAnswer: -398*t**3 + 2740*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/13?  (a) -0.1  (b) -2\/9  (c) -1\/16  (d) 6\/371\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-1 + 0 - 1)*(4 - 4 + 1) - 2 + 5 + 1)*(-1281 + 1281 + 85*o) to k + u*o and give u.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the first derivative of -s**5\/30 - s**2\/2 - 10. Let w(a) be the second derivative of q(a). Let i(u) = 16*u**2. Determine w(i(c)).\nAnswer: -512*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - ((1 - (1 + 12)) + (1706 - 1712)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1a (base 12) to base 8.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -19*a**2 - 5*a + 1. Let z(w) = -10*w**2 - 3*w. What is 3*i(h) - 5*z(h)?\nAnswer: -7*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f - 8. Let d = -5 - -7. Suppose -1 = d*k + 7. Let s be w(k). Is s > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 736 is divided by 6120\/32 + 2\/(-8).\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 334*h + 2457 = -3555 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s + 5*o, -11 - 10 = -3*s - 2*o. Solve -5 = 5*b + s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 - -1. Let m be (0 - 1) + 1 + q. Let g = 2 - m. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 44 + 1413?\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 6 - 2*q - 6 + 2 + 0*q + 5*q - 2*q + (1 - 1 - 2)*(q - 5*q - 3*q) in the form p*q + d and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3091?\nAnswer: 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 4*j = 52, -s - 21 = 4*j - 3. Let r be 8\/(-14)*s\/4. Solve 6*q - r*q = 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1453976?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**3\/2 - 33551*r**2\/2 - 279546079*r\/2 + 31444364271\/2.\nAnswer: -(r - 111)*(r + 16831)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 16670 - 16649. What is the least common multiple of x and 476?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1112 - -312?\nAnswer: 2030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -756511\/6 - -126400. Is j <= 315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7?  (a) 4  (b) -5\/4  (c) -0.1  (d) -1  (e) -415\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**2. Let a(o) be the third derivative of -o**4 + 12*o**2. What is a(g(y))?\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 44 - 44. Let b(f) be the first derivative of -3*f - 1\/5*f**5 + 0*f**2 + 0*f**3 + 2 + n*f**4. Find the first derivative of b(s) wrt s.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.03 * 23\nAnswer: -0.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2 + -9)*1 + 2 + 0. Let s be (-2 - j)\/(11\/(-8) + 1). Let k = 12 + s. What is the smallest common multiple of k and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48501099 a multiple of 243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -2\/5, 7, -0.2 in decreasing order.\nAnswer: 7, -0.1, -0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -190, -719, -1614, -2881, -4526, -6555, -8974, -11789?\nAnswer: -15006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 680666738?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*d + 15*d + 25*d - 145. Let m(v) = 1580*v + 7. Let g be m(5). Suppose -4*l - d*u + g = -0*l, 0 = 4*l - u - 7889. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 797 = 401*w + 17761 + 254 + 6441 for w.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -8.77 to 0 decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Do 9\/28 and 255365 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(1\/8)\/k)\/k**(-1\/3))**(-4\/29)*(k**(-11)*k*(k\/(k\/(k*k**(-13))))\/k)**(-48) assuming k is positive.\nAnswer: k**(192109\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/21 + (-38)\/(-14). Suppose 24 = -2*o - 2*q, -3*o - 17 - 19 = 2*q. Let b = -10 - o. Solve -l*x - b = 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*r + 4*r + 11*r)*(4*r**3 - r**3 - 4*r**3) - 3*r**4 - 2*r**2 + 2*r**2 in the form t*r**2 + k*r**3 + x*r**4 + c + y*r and give x.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 4*o - 3. What is the derivative of -t**2 + 1 - 2*t**4 - t**2 + o*t**2 wrt t?\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 144116105 and 490.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2375 or 34247?\nAnswer: 34247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the third derivative of n**6\/1260 + n**5\/630 - 5*n**2. What is w in r(w) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l + 2. Suppose 0 = -3*n + 2*v + 76, 28 = 4*n - 4*v - 80. Let b be ((-4)\/(-3) + -1)*9. Let x(a) = 3*a - b*a - 4*a - 7. What is n*s(m) + 6*x(m)?\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 12.6793 and 2?\nAnswer: 25.3586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = 4, 4*v - 6 = 6*v + 4*y. Is 4\/325 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**2 - q + 1. Let d(m) = 72*m**2 + 66*m - 66. Determine 2*d(x) + 132*y(x).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-62 - 10 - -16) + (19 - -6).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l**4 + 10*l**4 + 4 - 2*l**4 - 6*l - 14*l**2 + 6*l**3 = 0 for l.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.07 times -27088\nAnswer: -1896.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g**(4\/3)\/g**(-1\/7))**(-49))**(2\/93))**6 assuming g is positive.\nAnswer: g**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, t: 1, z: 2}. Give prob of picking 2 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -1384 + 1958 - 3*u + 770 in the form m*u + v and give v.\nAnswer: 1344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -25494480 divided by -137808?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/((4 - 2) + -3). Suppose p = l*p - 6*p. Suppose 2*k = -2*k + 100. Solve v + 2*r - 5 = p, 3*v - r = -v - k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 24, -5, 0, -10, 3 in decreasing order.\nAnswer: 24, 3, 0, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (308*j**2 + 575*j**2 - 134*j**2)*(9*j**3 - 12*j**3 + 14*j**3).\nAnswer: 8239*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 26 + 0 + -8 + (70 - (2 + 0)).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-59*o + 23*o + 24*o + 13*o + 327)*(3*o - o - 3*o) in the form w*o + j*o**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 383 - 385. Let f(w) = 4*w**2 + 2*w - 2. Let h(n) = -n + 1. Calculate v*f(u) - 4*h(u).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u - 4. Determine y(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1030404333 (base 5) in base 2?\nAnswer: -1000011001010000010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from {q: 5, v: 5, u: 2, t: 6, b: 1}.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -199 + 200. Sort a, 3, 296 in decreasing order.\nAnswer: 296, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(-4)*2)\/((17115\/5670)\/(-163))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -9007, -35987, -80953, -143917, -224891, -323887?\n\"Answer: -2*i**3 - 8981*i**2 - 23*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-69)\/21 + (-11 - -8). Is o at least as big as -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 94.7277 or -98?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 67, 0.5, 81, 98, 0.2 in ascending order.\nAnswer: 0.1, 0.2, 0.5, 67, 81, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a micrometer in nanometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3383249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t**(-3\/22))\/t)\/t)\/(t\/((t*(t*t**3\/t*t*t)\/t)\/t)*t) assuming t is positive.\nAnswer: t**(19\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18482*q**2 - 693 - 9240*q**2 + 693 - 9235*q**2.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**2 + 10*x + 11. Give l(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 234958977 is divided by 334?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (6*(-2)\/3)\/((-6)\/(-3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the third derivative of a**5\/60 - a**4\/4 - 2*a**2. Let h be v(6). Suppose 5*z - d - 15 = h, -z = -5*z - 2*d + 26. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 562 - 320. Calculate the highest common divisor of f and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.5  (b) -135  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000285137392 to five dps.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 470*c**2 - 20*c - 19. Is w(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j**5 - 603*j**4 - 120681*j**3 + 365631*j**2 - 366822*j + 122472 = 0 for j.\nAnswer: -126, 1, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 7418 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (4 - (-228620)\/(-55275)) + (-8)\/(-60). Is -1 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-53)\/168 + -1 + 10382\/(-174) + 61.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -2*g**2 + 8*g - 5. Let d(b) = -b**2 - b. Let f(s) = -d(s) + q(s). Determine f(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 3 + -4 + sqrt(5)*3 + sqrt(5) + sqrt(5))**2.\nAnswer: -60*sqrt(5) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**2 - 3*z + 3. Let n be w(-3). Suppose 0 = -y + n*y - 24. Calculate the remainder when 23 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 78*l + 397*l - 382*l.\nAnswer: 93*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**3 + 15*q**2 - 1392*q - 5702. Give t(-4).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3\/7)\/(16\/112). Suppose -z*p + 125 + 292 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/9)\/(((-6)\/24)\/((-27)\/12))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 662 minutes after 2:33 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 2*v = -40, -2*y = -6*y - 2*v + 72. Calculate the remainder when 63 - (-3 - (-2 - 3)) is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -16108, -15840, -15094, -13630, -11208, -7588?\n\"Answer: 40*m**3 - m**2 - 9*m - 16138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:27 AM and 9:36 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0077263 rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the first derivative of -3*o**5\/40 + o**4\/24 - 10*o**3\/3 + 8. Let b(h) be the third derivative of q(h). What are the prime factors of b(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*v**4 + 5*v**4 + 3*v**4)*(v - 3 + 3 + (0 + 2*v + 0)*(-1 + 1 - 1) - v + 4*v - 5*v).\nAnswer: -9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14.5 - 15. Let y = -18 + 13. Let x = -7 - y. What is the nearest to -2\/5 in z, -0.4, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25198901807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the first derivative of 2*d**3\/3 + 1. Let o(v) be the third derivative of v**5\/20 - 286*v**2. What is m(o(f))?\nAnswer: 18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**2 + 2*o + 1. What is u(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -2597*w**2 + 294*w + 294. Let l(m) be the third derivative of 11*m**5\/15 - 5*m**4\/24 - 5*m**3\/6 + 512*m**2. Determine 294*l(j) + 5*z(j).\nAnswer: -49*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 1004, 2, -3, -4, -46 in decreasing order.\nAnswer: 1004, 2, -2, -3, -4, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l. Let q(d) be the second derivative of -5*d**3\/6 - d**2 + 8*d + 24. Give -2*f(n) + q(n).\nAnswer: -3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Do 100967874 and 3\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -179 - -177. Let f be 9\/t - 48\/32. Let q(s) be the third derivative of s**5\/60 + s**4\/12 - s**3 - 24*s**2. What is q(f)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 3*s**2 + 55*s + 20. Let n be q(-18). Find the third derivative of -329*t**6 + 330*t**6 - 2*t + 12*t**2 + t - 5*t**4 + 9*t**n wrt t.\nAnswer: 120*t**3 - 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 765473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00832468427 to four decimal places.\nAnswer: -0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.01 and 16127.\nAnswer: -161.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -p - 3. What are the prime factors of (26\/6)\/(1\/p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -153 - 2?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 190168\/154 + (-12)\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x - 7 = -4*h, 3208*x + 7 = -5*h + 3204*x for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6)\/9*-6 - -41. What is the greatest common factor of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**2 - 9*t - 2. What is the remainder when m(-5) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 720900 to the nearest one thousand.\nAnswer: 721000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 46, 71, 144, 289, 530, 891, 1396, 2069?\n\"Answer: 4*s**3 - 3*s + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(204) + sqrt(204))\/sqrt(12) - (sqrt(17) + -4 + sqrt(102)\/sqrt(6)).\nAnswer: -3*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 48 and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 111\/10 and (-35)\/(-28)*2\/(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6789625\/4062 - 4\/2031. Let l = 1634 + i. Find the common denominator of l and 35\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -3*p**2 + 35*p + 2. Suppose 0 = 4*n - 25 + 9. Let v(c) = 13*c + 5*c**2 - 19 - 4*c**2 - 2*c + 18 - 23*c. Let m(i) = n*s(i) + 11*v(i). Give m(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.132 + -0.232. Which is the closest to -20?  (a) 5  (b) w  (c) 3  (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 (base 5) in base 12?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (135 + 139 + 135)*(3*s**3 + s**3 - 6*s**3) to the form g*s**2 + j*s + i + x*s**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(539)\/(sqrt(66)\/sqrt(54)))\/(sqrt(63)*-3*-6).\nAnswer: sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -78*p + 4*y = -83*p - 39, -5*y + 16 = -3*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12432)\/(-21756)*18\/4.\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(27)\/(sqrt(36)\/sqrt(4)) - (sqrt(3) + sqrt(3) + sqrt(3)*-1 + sqrt(3))*4) + -3 + (-3*sqrt(24)\/sqrt(8))**2.\nAnswer: -7*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -19171\/7 - -2747. Find the common denominator of o and 64\/2*((-127)\/(-62) + -2).\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:45 PM and 4:52 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 34 (base 6) to base 13.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11462516 * 0.5.\nAnswer: 5731258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*t = 4*t - 868. Let c be (t\/3)\/(6\/(-9)). Let u = c + 360. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -2*a - 30. Let s be q(-7). Let h(r) = r**2 + 14*r - 23. What is the remainder when 34 is divided by h(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-9*1)\/(-1 - 0). Suppose f = 4*d - 47. Let v(k) = -k**2 + 23*k - 20. Let b be v(18). Calculate the greatest common divisor of d and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ixrrqhqxiirrqzh. Give prob of sequence hh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 93285?\nAnswer: 3, 5, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 662068 and 335544.\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 - -7. Suppose 0 = -f*y + y. Suppose n + 4 = k, n = 2*k - 8 - y. Solve 5*g + 5 + 15 = n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-16)\/8 - 5)*(-3)\/7. Solve v = 83*c - 84*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 766*x. Let d(n) = 2221*n**2 + n. Determine d(s(l)).\nAnswer: 1303185076*l**2 + 766*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*g**2*z**2 + 605*g**2*z + 2579*g**2 - 17025*g*z**2 - 58*g*z wrt g?\nAnswer: 4*z**2 + 1210*z + 5158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 41*j + 22*j + 9*j**2 + 21*j + (-3*j + 4 - 4)*(-2*j + j - 2*j) to h*j + u*j**2 + a and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2245 - 2250. Which is the third smallest value?  (a) 0.2157  (b) m  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 108631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22469336, -44938665, -67407994, -89877323, -112346652, -134815981?\nAnswer: -157285310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 71691*s**4 - 104*s**3*y**2 + 288*s**2*y**2 - 7*s**2*y - 10*s**2 + 2*s*y**2 + 4*s - 12 wrt s.\nAnswer: 1720584*s - 624*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12 and 186?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -3*c + 66 - 1, -4*z + 20 = 2*c. Let r(g) = -g. Let p be r(-5). What is the greatest common divisor of p and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1330*u - 1152*u + 2252*u.\nAnswer: -230*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -1\/3  (b) -2  (c) -1\/4  (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12933.\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.529474 grams to kilograms.\nAnswer: 0.000529474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*(6\/(-60) - 312\/1755)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/26112 and -13\/510?\nAnswer: 130560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-1 - -1331) + 55\/(-22)*4 is divided by 149?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 12141492 or 1?\nAnswer: 12141492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1465, -1467, -1469, -1471, -1473, -1475?\nAnswer: -1477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 5*o - 25. Let h = 0 - -4. Suppose 0 = 4*b, h*r - r - 48 = b. Solve -r = 2*l - o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 2*m. Let x(g) = -1. Calculate -n(z) - 2*x(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 86 - 88. Sort -1\/74, f, -4 in decreasing order.\nAnswer: -1\/74, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 5, x: 1, e: 4, n: 1, b: 7, j: 2}. Give prob of sequence bte.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 76*m**3 + 22*m**3 - 2*m - 40*m**3 + 3 - 2. What are the prime factors of r(1)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -2*v - 10. Suppose 5*a - 131 = -3*l, l = -3*l + 8. Let q be 36\/(-5) + a\/((-1125)\/36). Determine z(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vy when two letters picked without replacement from {j: 1, f: 1, y: 6, l: 1, v: 1, x: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 52 + -30. Calculate the remainder when 41 is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001725522 rounded to 5 decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -214 + 988 - 217 - 341 - 218 + 155*a.\nAnswer: 155*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2 + 266*j + 2084. Determine c(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the second derivative of p**3\/6 + 5*p**2\/2 - 46*p - 3. Calculate o(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03 less than 0.2135521?\nAnswer: 0.2435521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 14136 and 1984?\nAnswer: 113088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1167252409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**2 - 135*o - 863. Is r(-66) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6390203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 3, u: 1, x: 1, b: 3, f: 5}. What is prob of picking 1 c, 1 u, and 1 b?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 + 18 = 2*i. Suppose 3*h = r - 11, -i*h + r = -0*h + 19. Let m be (4 + h - 23)*1. What is m rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w + 8 = 2*s - 0, 0 = 4*s + 3*w - 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a*a\/(a**(-9)\/a))\/(a\/a**(-21)*a))**(2\/7))**26 assuming a is positive.\nAnswer: a**(-572\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 286 + -155. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 + 6. Which is the second biggest value?  (a) 5  (b) -2\/7  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -43*d**5*t + 2*d**5 + 8*d**2*t - 6*t wrt d.\nAnswer: -2580*d**2*t + 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 18\/9*(-1)\/2. Let t = -79\/9 + 571\/63. Which is the second biggest value?  (a) h  (b) t  (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -666, -627, -588, -549, -510?\n\"Answer: 39*i - 705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes after 4:41 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6.33 - 7.33. Which is the nearest to o?  (a) 2\/3  (b) -0.5  (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -212882215 divided by -1157\nAnswer: 183995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-c - c + 0*c)*(1 - 1239*c - 333*c + 374*c + 5) to m*c + p*c**2 + j and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 4*o = -6357, -h + 4*h = -2*o - 3801. Let w = 2363 + h. List the prime factors of w.\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ip when two letters picked without replacement from {i: 3, p: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.49 + -0.09. Suppose -2*y + 25 = -4*h + 9, 3*h - 4*y = -12. Let n = -33 + 31.1. What is the third smallest value in n, t, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes before 6:43 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 60811375 divided by -5?\nAnswer: -12162275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2314 (base 8) in base 15?\nAnswer: 56d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12042*n = 12062*n + 140 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -12*l + 26195*l**2 - 26196*l**2 + 23 + 26. Let c be v(-15). Solve -f = c*f - 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jecj when four letters picked without replacement from {p: 3, j: 4, e: 2, z: 1, c: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**3 + y**2 - 2*y - 11. Calculate h(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 70096339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 280537, 561278, 842027, 1122790, 1403573, 1684382?\n\"Answer: t**3 - 2*t**2 + 280740*t - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -3*c**2 + 15*c - 6. Let o(k) = 23 - 14 - 8. Let h(j) = b(j) - 6*o(j). Factor h(n).\nAnswer: -3*(n - 4)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 191 minutes before 11:02 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 1472 = 2*c, -3*s = 2*c - 84 + 1554. Let b = c - -740. Solve 0 = -b*j - 68 + 78 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.48 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 10, g: 1, i: 2, w: 2, p: 2, z: 3}. What is prob of picking 1 k, 1 g, and 1 w?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/3  (b) 0  (c) -2  (d) -15  (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 563 a factor of 6739110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -92.63 take away -649?\nAnswer: 556.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -214 + 216. Does 16 divide 1*-32*(15\/(-6) + u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 11.85 and -0.1?\nAnswer: -1.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -3*i - 9*i + 3*i + 1. Let g be j(-3). Suppose -59 = -3*v + g. List the prime factors of v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 5*v - 19 = 0, 0*m - 5*m + 5*v + 30 = 0. Let u(y) = 0*y**2 + 5*y + 0*y - 4 - m*y**2 + y**3. Determine u(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(104)*-2 - sqrt(104)) + sqrt(104))\/(sqrt(288)*1 - sqrt(8)) + 0 + sqrt(832) + 1 + -4.\nAnswer: -3 + 48*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/109?  (a) 0.1  (b) 20  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 101\/2331868 - 724716011037\/46637360. Let c = n - -93235\/6. Find the common denominator of -115\/6 and c.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 45, 95, 143, 189, 233, 275, 315?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 1 z when three letters picked without replacement from {p: 5, k: 2, z: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*y**5 - 2235*y**4 + 176390*y**3 + 17609190*y**2 - 35738635*y + 17955285 = 0. Calculate y.\nAnswer: -57, 1, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1007063 less than -2.631101?\nAnswer: 1007060.368899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4\/300276107 or 1?\nAnswer: -4\/300276107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -m + j + 1, 2*j + 26 = 5*m - 9*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -30, -148, -410, -882, -1630, -2720, -4218, -6190?\nAnswer: -8702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 4, b: 3, u: 7}. What is prob of sequence uw?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1011001 + 0?\nAnswer: -1011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 7 + (-92 - -74) - -32?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.3 + -11.7. Let v = 13.95 + l. Which is smaller: v or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2785 + 17.6.\nAnswer: -2767.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 19039217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 510\/273 + (-4)\/26. Let w = n - 137\/84. What is the third smallest value in -0.2, 2, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -48, -4, -1\/9.\nAnswer: -48, -4, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 99559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1055079 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 + -42043?\nAnswer: -42033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 - 30626.1?\nAnswer: -30626.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/(-34) + 324\/153. Let q be (24\/12)\/(v\/24). What is the greatest common divisor of 36 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34018?\nAnswer: 2, 73, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -109\/14334 and -43\/14.\nAnswer: 100338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-8)\/1)\/(5\/(-10)). Let g = v - 16. Suppose g = 4*l + 5*w + 3, -2 = -3*l - w + 4. Solve l*r + i + 3 - 5 = 0, -r - i = -4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -471.\nAnswer: -1\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -4353, -4353, -4351, -4347?\n\"Answer: z**2 - 3*z - 4351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2 - -1) + 2\/(-2). Suppose 5*a = -3*u + 101 - 21, -r*u + 48 = -2*a. Let l(g) = 6*g - 3. Calculate the remainder when u is divided by l(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (2*((sqrt(1100)*-3 + -2)*5 + (sqrt(1100)*2 + 5 - (sqrt(1100) - sqrt(1100)*1*1 - sqrt(1100)))))**2.\nAnswer: 4800*sqrt(11) + 633704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -111\/400 and 37\/10774080.\nAnswer: 53870400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -23 + 19. Let q = -13 - -10. Sort 1\/4, b, q in descending order.\nAnswer: 1\/4, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-46)\/((-7)\/((-875)\/4))*-16. What is i rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -45 - ((83 - 37) + -10)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -24*t**2 + 3886*t - 131100. Give w(114).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -802, -0.1566, -1.9 in descending order.\nAnswer: -0.1566, -1.9, -802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 524  (b) -0.3  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -128 divided by -64?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g + 2 = -82. Let x = g + 49. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**3 - 12*j**2 - 11*j + 2. Let y be c(-11). Suppose 0*d = -f + d + 11, -46 = -5*f + y*d. What is the greatest common divisor of 56 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and -13.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from unulu. Give prob of sequence nl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.12 + 7.12. Let o = z + -4. Let n = -78.8 - -78.5. Which is the nearest to -1\/8?  (a) n  (b) o  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 times -1346825?\nAnswer: -406741150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:44 AM and 11:12 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 17 - 13)*(-2 + 2 + 1)*(4*n - 4*n - 6*n + (-2*n - 2 + 2)*(1 + 2 - 2)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6395, -6438, -6509, -6608, -6735, -6890?\nAnswer: -7073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes before 4:27 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 17 - 1 = 0, 260 = 3*v + 2*u. What is the highest common divisor of 196 and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the second derivative of -g**5\/10 - 2*g**4\/3 + 3*g**2\/2 - 5*g + 9. Let m be h(-4). Solve -10 + 22 = m*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 16119, 32243, 48363, 64479, 80591, 96699, 112803?\n\"Answer: -2*p**2 + 16130*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 6*x**2 - 2*x + 1. Suppose -2*g + 2*n - 4 = 2*g, 0 = -3*g - 2*n + 11. What is a(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.19 less than -0.282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15 + 8 + 9)*(-j - 2*j + 2*j).\nAnswer: -32*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/9 + (-6)\/(-27). Let x be 2 + -1*(z - 4). Suppose 2*b + 2*q - x = -q, 0 = 2*q + 8. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3\/2, 34, -0.02, 0.018?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2575152 divided by -432.\nAnswer: -5961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -24 <= -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a = 4*z + 30, -20 = -3*a - 4*z + 5*z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 571, 5044, 12501, 22936, 36343, 52716, 72049?\nAnswer: 94336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 697.9414 - -0.0586. Let w = -698.035 + h. Which is smaller: 2\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 15 + -14.3. Let c = a + -0.7. Let b = -6 - -8. What is the closest to c in -0.1, b, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 20 - 5*y**2 + 10*y**2 + 14*y**2 wrt y?\nAnswer: 38*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*k - 2*k - 9*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 91\/10 and 109\/598.\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 2*k - 3)*(0 - 3 + 2) + 26*k - 11*k + 5*k in the form p + c*k and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 502*q - 508*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 23450569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-5)*10\/1*(-27)\/567?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(49)\/(-2*sqrt(112)).\nAnswer: -1 - sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -r - 4*r - 5, 0 = -2*m. Let u be (2*r)\/((-2)\/10). What is the remainder when 13 is divided by (u\/(-8))\/(3\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (18\/99)\/(4\/44). Solve -5*r - 17 = -6*m + 4*m, 6 = m - d*r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 351*y**3 + y**2 + 6*y + 76007 wrt y?\nAnswer: 1053*y**2 + 2*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -24 + 3. Let j = -13 - d. Let s(z) = 2*z**3 + 17*z**2 + 16*z + 66. What is the lowest common multiple of j and s(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 23  (b) 0  (c) -13  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 333 divide 2055555491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1994918.\nAnswer: 2, 109, 9151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 4*u**2 + 1. Let v(f) = 337*f. Give v(i(g)).\nAnswer: 1348*g**2 + 337","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (1 - (6 + -14 + 12 - -1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 35 and 2735.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -115*q - 29 + 61 - 71 = 76 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-1)*l)\/(l**(-2\/29)\/l)*l*l**(5\/2)*l*l*l*l\/(l*l**(-5)) assuming l is positive.\nAnswer: l**(729\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/((-21)\/2)*6\/(-8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 4*m - 21 + 29 = 0, 0 = 3*t - 2*m + 4. What is the third smallest value in 1, -1\/2, t, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1314)\/12*(-38)\/285*(-10)\/(-6) - 10?\nAnswer: 43\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2250 and 20500?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2 + -18d8?\nAnswer: -18da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**2 + 2*v + 4. Let o be ((-1881)\/44)\/(-19) - (-3)\/4. What is t(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4852 = 274*n - 2948 - 1242. Let j(k) = k**2 + 1. Let i(d) = 22*d**2 + 11. Give n*j(l) - 3*i(l).\nAnswer: -33*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 27271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1167.\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 17?  (a) -2\/1833  (b) -2  (c) -1  (d) 70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 76*o + 5. Let v(k) = 3*k + 1. Calculate -b(h) + 5*v(h).\nAnswer: -61*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -22*c + 28. Calculate y(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 35203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1335139 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 3*f + 9 = 0, -2*f = 4*m - 3*f - 33. Let g be ((-15)\/m)\/((-2)\/6). Suppose z + 8 = 3*z. Solve 0 = -g*v + z*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -375576 divided by -15649.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 394 - 478 = -12*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u**(-1\/16)\/u)*u)\/(u*u\/u**(2\/17)))\/(u**7\/u**(-5)) assuming u is positive.\nAnswer: u**(-2943\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -20 + 6. Let w = y - -16. What is the remainder when 17 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -572, -404, -126, 262, 760, 1368?\nAnswer: 2086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2193?\nAnswer: 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59 + 38 - 37*g + 18*g + 21 + 14*g + 6*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f + 41 + 49 = 0. Which is smaller: -31 or f?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16152713.\nAnswer: 71, 83, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2580720 by 4.\nAnswer: -645180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -3.11426 equal to -6.28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 262107 to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 8*z - z**2 + 1 - 2457*z**3 + 23*z - 30*z. Is x(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -575*m - 525*m + 1877*m + 7578*m.\nAnswer: 8355*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 67920 - 42400. List the prime factors of y.\nAnswer: 2, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 70281 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -h + c - 4, -18*h - 4*c = -16*h - 28 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**2\/5 - 12712*n\/5 + 13383936\/5.\nAnswer: 2*(n - 5024)*(n - 1332)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/24*-8*3\/(-16)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 1669*r**3 - 10 + 10.\nAnswer: -1669*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 5505 = -5*y, -c + 6*y + 1131 = y. Suppose 0 = -2*w + 4*f + c, -5*f = -w - 303 + 856. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 102512, 205030, 307546, 410060, 512572, 615082?\n\"Answer: -b**2 + 102521*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.05 times 98\nAnswer: 4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -229*o**2 + 76*o**2 + 77*o**2 + 79*o**2 - 5 + 4*o. Determine p(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-22)\/(-14) + -8*2\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 5 = -5*r + 10, -9 = -3*r + 5*q. Solve 2*z + 16 = 3*a, -3*a + r*z + z = -20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6537 < -6537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 89481 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + 155714?\nAnswer: 155717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00002193090713 rounded to six decimal places?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 40*o**6*v**2 + 2441*o**6 + o**2*v**2 + 2*o*v**2 - 5*o - 3*v**2 + 40*v wrt o.\nAnswer: 4800*o**3*v**2 + 292920*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16.1 - -15. Let r = -0.9 - f. Suppose 6 = -4*z - 2. What is the second biggest value in -0.2, z, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*u - u - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v**(-17)\/v)\/v)\/v**(-3\/14))\/(v*v**(-30)*v*v*v*v**(-3\/20)) assuming v is positive.\nAnswer: v**(1031\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -66*c**3 + 1096*c**2 - 1096*c**2 + (2*c + 1 - 1)*(3*c**2 - 4*c**2 - c**2) - c**3 - c**3 + c**3 in the form p*c**3 + u*c**2 + f*c + v and give p.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the first derivative of 11*a**5\/5 + a**2\/2 + 60*a + 52. Differentiate y(o) with respect to o.\nAnswer: 44*o**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 2521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1336 + -1139. Put 3\/5, b, 11 in decreasing order.\nAnswer: b, 11, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 4 - 1) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the second derivative of -9*s**4\/4 - 4*s**3\/3 - 3*s**2\/2 + 2*s. Let w(t) = 54*t**2 + 16*t + 5. Let f(b) = -13*r(b) - 6*w(b). Is f(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 55\/4 of a gram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = -m + 3*x + 3, 0 = 2*m + x - 7. Suppose 3*f - m = 8, 516 = -4*w - 4*f. Let i = -66 - w. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand o**2 - 5*o**2 + 5*o**2 + (-2*o + 12*o + 4*o)*(-6*o - 6*o + 1 + 4*o).\nAnswer: -111*o**2 + 14*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.224 times -265589?\nAnswer: -59491.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2.11 - 6.11. What is the third smallest value in c, 1, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 4*k - 3. Let x be l(2). Suppose 9 = -3*j + 4*d, 21*j - 22*j = -4*d + 11. Let p be (j\/((-21)\/24))\/1. Put -1\/6, x, 4, p in decreasing order.\nAnswer: x, 4, -1\/6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 2*v - 32 = 0, 4*v + 201 = -p + 229. Put -4, 2\/13, 29, p, 0.5 in decreasing order.\nAnswer: 29, p, 0.5, 2\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 56 = -v + 40, -2*l + 64 = 3*v. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 15 = 4*b. Let r be (-4)\/3*(-2)\/8. Sort r, -0.2, b in ascending order.\nAnswer: b, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*s + 15 = h + 5*s, -2*h - 2*s = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 294*m + 5051. What is the remainder when 337 is divided by f(-17)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o - 63 + 303. Suppose -5*b - 3*t + 7*t + 80 = 0, 3*b = t + o. Suppose -2*j + 12 = -b. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -73 + 48. Let t be (-10)\/j + (-114)\/10. Let l be 5*t\/(220\/24). Does l = -9\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 8421006?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 2*g - 20. Calculate the highest common factor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 47627 = 5*b, -39*o + 40*o - 11906 = b. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1845 and 1575.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(176)*1 + sqrt(176)))\/((sqrt(20) + 1*sqrt(20) + sqrt(20))\/sqrt(5)).\nAnswer: -16*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 227\/(-6) - (34 + (-2926)\/84)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 700277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6110240.\nAnswer: 2, 5, 38189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 174 a factor of 6208146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1*(-2838)\/(-30) - 4\/(-10). Suppose -2*n + 135 - a = 0. Calculate the highest common divisor of n and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the first derivative of b**4\/2 - 22*b**3\/3 - b**2 + 22*b - 257. What is r in v(r) = 0?\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence upnc when four letters picked without replacement from {p: 1, n: 2, a: 4, c: 5, u: 2}.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -5*p + 23. Suppose -v + p = v. Let b(n) be the second derivative of n**5\/20 - 5*n**4\/12 + n**3\/2 + 5*n**2\/2 - 5*n - 1. What is b(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -3*c - 30, 0 = -c - c + 4*s - 6. Let u(o) = -o - 10. Let h be u(c). Put 3, h, 1 in descending order.\nAnswer: 3, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2448 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 244771267 a multiple of 646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30267 + 125233 = -802*w - 753*w for w.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-1) - -1*(-15)\/(-3). Suppose 0 = 5*x + 2*q - 133, 0 = -x - 0*q + g*q + 13. Solve -3*k - x = -5*s - 0*k, -4*k = -s + 22 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 6*s - 3018 = 35478, 5*l = 4*s + 192480. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3 - 135)*22\/(-132)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6)\/14 - 30\/(-21). Let n(o) = 15*o + 84. Let u be n(-6). Calculate the common denominator of u\/(-60)*7\/i and -20\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -426043 + 13001?\nAnswer: -413042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u**2 + u + 14. Suppose 0 = 5*s - 0*s. Calculate the remainder when 54 is divided by x(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -15*q - 94. List the prime factors of n(-25).\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/17  (b) -3  (c) 4\/5  (d) 33  (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 24888 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*f - 34*f + 9*f + 14*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (48\/(168\/(-7)))\/((-19)\/((-1539)\/(-6)))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*r + j - 8, -2060*r + 2*j - 11 = -2057*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(704))**2*-2.\nAnswer: -1416 - 64*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6 + -13. Let a(j) = j**2 + 5*j - 7. Is 7 a factor of a(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/(((-15)\/(-470))\/(6\/(-8))). Suppose 8*g = 33 + c. Suppose 4*n - 178 = -2*v, -13*n + 15 = -g*n. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 44553626410 to the nearest 1000000.\nAnswer: 44554000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11 - -71. What is the remainder when y is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 4*j + 3. Let t(a) = 7*a - 1 + 3 - 4*a. Let k(s) = -s**3 + 6*s**2 - 7*s + 5. Let m be k(5). What is m*t(f) + 4*v(f)?\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -37*p**5 - 2*p**4 - 297*p**3 - 325385*p**2?\nAnswer: -2220*p**2 - 48*p - 1782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-99)\/6*(-4)\/6 - 23913600\/(-249100).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qvgv when four letters picked without replacement from {v: 4, q: 3, l: 3, t: 2, g: 4}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 plus -7747763?\nAnswer: -7747762.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - (-17 - (-33 + -1))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seventeen tenths of a millennium?\nAnswer: 20400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -48522 or -48942?\nAnswer: -48522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 330 * 1\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 10*o**2 + o - 1. Give w(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the second derivative of 1\/60*s**5 + 0*s**3 + s + 2\/3*s**2 + 0 - 1\/12*s**4. Determine y so that j(y) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 0*r = -4*q + 52, q + 5*r = -5. Calculate the smallest common multiple of q and 32\/7 - (-40)\/(-70).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r**2 - r**2 + 0*r**2)*(r**2 - 4 + 4) + (7*r - 7*r + 3*r**2)*(-r**2 - 2*r + 2*r).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4295145 is divided by 858.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53*n**2 - 531 + 45*n**3 + 53*n**2 + 531.\nAnswer: 45*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 5414148 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/7 and (-4)\/5 - 65\/50.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -177191739 divided by -423?\nAnswer: 418893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -79*h**3 + h**2 + 2*h + 1. Give b(-1).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 2*i = 3*m - 76, 3*i - 16 = -m. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -3*t**3 + 2*t**2 - 47*t - 3. Let y(n) = 6*n**3 - 4*n**2 + 93*n + 7. Calculate 3*y(k) + 7*z(k).\nAnswer: -3*k**3 + 2*k**2 - 50*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + -2 - (2 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 46, 31, 8, -23, -62?\n\"Answer: -4*u**2 - 3*u + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2540325412 to the power of 1\/2, to the nearest integer?\nAnswer: 50402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**3 + 5*x**2 + 5*x. Let n be f(-4). Let c = n - -6. Let k(z) = -1 - 7*z**3 - c*z - 2*z**2 - 3*z + 3*z. Give k(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-28 + 4 - 70)*(2 + 2*c**2 - 2)*(2*c - 6*c - c).\nAnswer: 940*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 5*b - 9. Let a(q) = 4*q - 8. Let x = 2 + 2. Let o(f) = f**3 - 5*f**2 + 7*f - 6. Let m be o(x). Give m*l(j) - 7*a(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 5 - 3)*(2*p - 2 + 2 + (-4*p + p + 2*p)*(1 + 0 + 0) - 3*p + 5*p - 3*p - 3*p + 6*p + 4*p).\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10212 and 1044476.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) -11  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-252)\/8)\/(-9) + 2\/(-4). Put y, 5, -1, -5 in descending order.\nAnswer: 5, y, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -l**2\/8 + 75*l\/2 - 5625\/2 = 0.\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -118825*f - 950596. Calculate z(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.5 + -0.2. Let a = m + -0.2. Let o = a - 0.10009. Round o to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 76*w. Let i(q) = 59*q**2. What is i(y(d))?\nAnswer: 340784*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -44567656 divided by 236?\nAnswer: -188846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 16*w**2 + 84*w + 84. Calculate x(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 38 + 8 = -2*o, 0 = -4*k - o - 43. Let l be (k\/(-4))\/(1 + (-3)\/6). Solve -3 = -2*r - p, -2*r + p - l*p + 18 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 96 and 432.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 726*b**4 + 13*b**5 - 6*b**5 - 721*b**4 + 24*b**2 wrt b.\nAnswer: 420*b**2 + 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p - 5*c + 10, 5*p = p + c - 2. Let f(x) = x**2 + x. Let s be f(p). Suppose -4*k = -2*k - 8. Solve k*u - 2 + 22 = s for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2734508.\nAnswer: 2, 7, 61, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16196 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4)\/(-16)*2098*4 - -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 257 = 8*k - 1863. Let r(f) = -93*f + k*f - 84*f - 89*f + 7. Let d(b) = -3. Suppose 9 = -2*u - 1. Determine u*d(i) - 2*r(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 = 4*j - 374. Let v = 852 + -934. Let r = j + v. Solve 4*b - 6*b + r*g = 0, 16 = -b - 3*g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 (base 15) in base 8?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 211298*l**3 - 411776*l**3 + 211029*l**3.\nAnswer: 10551*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.7 - -0.5. Let k = -0.8 + v. Let i = 2281\/53592 + -2\/2233. What is the second smallest value in k, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 + 5. Is 2\/(g\/(-79))*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, p: 11, r: 3}. Give prob of picking 2 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*c - 1113*c + 37200 = 128*c for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ch when two letters picked without replacement from hhch.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 88\/(-572) + (-33)\/39.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, s: 2, r: 1, y: 1}. What is prob of picking 2 s and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 10*y - 2. Let k be u(-2). Let v = -11 - k. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 not equal to 97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 107\/290 and -37\/58?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*c - 43 - 46 - 47 + 216 - 43 - 41.\nAnswer: -5*c - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1345 a factor of 55451193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*(sqrt(252) - sqrt(252)*1))**2 + (-1 + sqrt(252))**2 + 3)*1*5.\nAnswer: -60*sqrt(7) + 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -27145 > -27690?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 23 + -9 + -3 + -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 2*i - 66 = -3*j, 3*j + 5*i = 201. Suppose u + 28 = 3*b + 3*u, 0 = 3*u - 6. Calculate the highest common divisor of j and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 630 and 1626660?\nAnswer: 1626660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 43*y**2 - 11*y**2 + 31*y**3 - 149*y + 44*y + 396 - 29*y**3 - 141*y.\nAnswer: 2*(y - 3)**2*(y + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = b - 5. Let m be ((-403)\/(-39))\/(b\/1260). What is m rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.12 in 0.38, 2\/73, -0.5, 0.02, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -461 + 460. Which is the second biggest value?  (a) 3  (b) 5  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3\/7  (b) -0.97  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -30060 less than or equal to -3.2797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31712725?\nAnswer: 5, 11, 115319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.001 - 239.001. Let i = -242 - u. Let m = -274 - -1922\/7. What is the closest to 3 in 2\/7, i, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 6 - 4)*(5 - 5 - b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.1167 + -0.0833. Which is the smallest value?  (a) k  (b) 1\/8  (c) 5\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*v + 3 + 4*v - 1940496*v**3 + 1940495*v**3 - 3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 54\/8 + (-196581)\/(-11396)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 61?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**3 + 13*k**2 + 14*k + 4. Let q be g(14). Let f be (-10800006)\/(-9) - q\/6. What is f rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18 - (-34 + 20)) + (-1 - 5) + -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 816, 1612, 2382, 3114, 3796, 4416, 4962?\n\"Answer: -2*c**3 - c**2 + 813*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-74)\/(-37)*(15\/2)\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, y: 1, e: 1, x: 2, p: 1, b: 1}. What is prob of picking 1 p, 1 y, and 1 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/8 - 17692\/16. Let n be -405 - (-1 + (0 - -2)). Let i = u - n. What is i rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (781\/(-7952)*-80)\/((-45)\/(-126)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*n - 11 - 3 = 36*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -7*c**3 - 2*c**2 + 5*c + 5. Let y be j(-1). What is the second smallest value in y, -9\/8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -l**5 - 82*l**3 + 500*l**2 - l - 2.\nAnswer: -60*l**2 - 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from maeaaqaqxqxqaaqa. What is prob of sequence ae?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -13621 by 5040.\nAnswer: -13621\/5040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*q + q - 4*q + (5*q - 8 + 8)*(-1 - 5 + 3))*(-3*q - 4*q + 6*q) to v*q**2 + w*q + j and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from segefepfeepeeesffpe. Give prob of picking 1 s and 2 p.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 2 = -7*t. What is the smallest common multiple of 6 and (11 - 16)*t\/(-1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (4\/18)\/(0 + -2). Let s(n) = n**3 + 10*n**2 - 10*n + 14. Let u be s(-11). Put t, u, -1\/6 in ascending order.\nAnswer: -1\/6, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2126519*b**2 + 622335 wrt b?\nAnswer: -4253038*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -458712\/5*d + 226866\/5*d**2 + 3\/5*d**4 + 230187\/5 + 1656\/5*d**3.\nAnswer: 3*(d - 1)**2*(d + 277)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39676?\nAnswer: 2, 7, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (2 - (-84)\/8)*192\/(-80)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 64 and 676.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2\/4)\/((-13)\/(-78)). Let c be o\/(-7) - (-3)\/7. Suppose -4*d - 4*u - 15 + 99 = c, -4*d - u + 69 = 0. Solve -2*l = 3*y - 12, 0 = l - 0*l - 4*y + d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*2*sqrt(55)\/sqrt(5) + 2 - (1 + -4 + sqrt(22)\/sqrt(50))) + -2)**2 + 5.\nAnswer: 114*sqrt(11)\/5 + 4321\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(288)*-1)**2 - (-1*sqrt(288) + 2)**2 - ((sqrt(24)\/sqrt(3) + 4 + sqrt(8)\/sqrt(4))**2 + -3).\nAnswer: 24*sqrt(2) + 10045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = z, -y - 275*z - 270*z + 543*z - 31 = 0 for y.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12122112 + 120221200000?\nAnswer: 121011022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**2. Let q(o) = 5*o**2 + 2. Let g(l) = 4*m(l) + q(l). Let i(p) be the first derivative of g(p). Let a(s) = 3*s**2. Determine a(i(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20431043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2\/(-5))\/(5\/25). Let g = -1.3 + 0.3. Let d = -16 + 19. Which is the closest to -2?  (a) k  (b) d  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 1 = -n - 2, -3*u = -4*n - 5. Sort 5, n, 1 in ascending order.\nAnswer: n, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i*i**8))**(1\/42)*i*i*i**10*(i\/(i\/i**(-1\/15)))\/i)**(10\/3) assuming i is positive.\nAnswer: i**(752\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 16 - 1 - (0 - -1). Suppose w + w = -j. What is the units digit of 7\/(-7)*(w + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s - 5 + 5. Let d(g) be the second derivative of g**3\/2 + g**2\/2 + 2*g - 9. Let x be 2*(-1)\/1 - 0. Determine x*n(w) - d(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the third derivative of k**6\/40 + 7*k**4\/3 + 85*k**3\/6 - 133*k**2 + 1. Find the first derivative of p(a) wrt a.\nAnswer: 9*a**2 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 246985*t**3*u**3 - 437*t**2*u**3 - 153*t**2*u wrt t.\nAnswer: 1481910*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 129 + -78. Let v = 82 - j. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6667 - 6663. Solve 0 = -4*y + 3*b - 3, -b - h - 5 = 2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -0.4, -0.1, -193, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -24081 or -24084?\nAnswer: -24081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.241 times -113\nAnswer: -27.233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 0) + 0 - (-6 + 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 64431 (base 8) in base 16?\nAnswer: 6919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 48157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -bad598 - -32?\nAnswer: -bad566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -9) + (16 - (4 - (11 - 15 - 13)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - 6 - 10, 4*d = -3*z + 28. Let t(i) = 6*i - 6*i - i**2 - 6 + 7*i. List the prime factors of t(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 54 + -51 + -89 - -140\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19967752 is divided by 7806?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes before 11:08 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 - 1 + 0)*(3 - 1 + 0) + 5 - 34 - 9)*(-2*u + 0*u + 3*u)*((-3 + 4 + 1)*(4 + 2 - 3) - 2 + 5 - 4 + 0 - 3 + 2).\nAnswer: -160*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 12486 or 287190\/23?\nAnswer: 12486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -7*g**2 - 9*g + 44. Let f(d) = d**2 + d - 21. Let u(q) = -2*f(q) - m(q). Let j(y) = y. What is j(u(k))?\nAnswer: 5*k**2 + 7*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the second derivative of -97*x**4\/6 - 138*x. Let s(v) = -2*v. Determine s(f(k)).\nAnswer: 388*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the first derivative of -2*k**3\/3 - 2*k**2 + 1. Let u be 3 + -2 + 0 + 3. Let p(m) = -m**2 + 4*m - m - u*m. Give -4*p(j) + t(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 16080624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 1 - 1)*(-4*x**2 + 7*x**2 + 15*x**2).\nAnswer: 54*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -132 (base 7) to base 6.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 432 + -876. Let f = h - -446. Solve -4*v - w + 10 = -f*w, -4*v + 5*w = -18 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -77*i + 2*i - 248 - 52 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p + 417*t - 57 = 416*t, 0 = 2*p + 2*t - 36 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 2*a - 0*k - 21, 5*a + k = 56. Suppose 0*l = l + 11. What is the tens digit of (10 - a)*(l - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.12  (b) 0  (c) 73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23504.15ng to tonnes.\nAnswer: 0.00000000002350415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*r + 6, 3*o + 27 - 48 = -4*r for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6738 = 18*y - 7104. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100011 + 110011101?\nAnswer: 101111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lkkklkkl. Give prob of picking 1 l and 3 k.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1753?  (a) -1  (b) 3  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -18 + 23. Suppose 0 = -0*g - a*g + 440. Is g a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 1.9  (b) 0  (c) 10  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g - 2*g - 150 + 237 = 4*f + 167, 4*f + 212 = -16*g for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28\/3 - (-692)\/(-108)*-9.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1738 + 1765. Solve 5*w - 22 = r, -4*r + l - 10 = w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(270) + -1*sqrt(270) - sqrt(270)) + sqrt(30))\/(-1*sqrt(864)).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**3 + 6*x**2 - 6*x + 12. Let r be y(-7). Put -10, r, -5 in increasing order.\nAnswer: -10, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2432*k + 2499 = -2215*k - 2492 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand j + 0 + 0 + (5 - 2 + 2)*(2*j - 2*j - 2*j).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1110002210 - -2020020?\nAnswer: -1100212120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3923814347?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.01 + 0.11. Let r = q + 3.2. Round r to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t*t**(-10\/3)*t))\/t)\/t*t**(4\/5) assuming t is positive.\nAnswer: t**(17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 547 (base 12) to base 4\nAnswer: 30013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(468)*-3 + sqrt(468) - sqrt(468).\nAnswer: -36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 582978765 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqx when three letters picked without replacement from xqxqx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/r**20*r\/r**(13\/5))\/(r**(-7\/2)\/(r*(r*r*r**(-5))\/r)))**(-47) assuming r is positive.\nAnswer: r**(9447\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 64 = -4*y, 18 = y - b - 0*b. Suppose 2*f - 32 = t + 3*t, 3*t = -f - y. Let x be 8\/(-6)*t\/(-4). Let m(r) = -2*r**2 - 2*r - 1. Calculate m(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 11 = 169. Let t = -6 + l. Suppose -2*q + 8 + t = 0. Does 18 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -2*s + 38. Let w be r(17). Let c(h) = 19*h - 11. Is c(w) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/6  (b) -0.1308  (c) -1  (d) -0.5  (e) -5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 38 = -4*i - 7*c, 2*i - 26 = -5*c. Let a(p) = -p + 5. Let t be a(i). What is the biggest value in -2\/9, -0.4, t?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x + 7. Let b be z(-7). Suppose -3*i + i + 8 = b. Determine g, given that i*g**2 - g - 7*g**5 - 9*g**4 + 3*g + 5*g**2 + 5*g**3 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 43\/2 of a kilogram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 2*x = -0*p + 7, 0 = -4*p + x + 14. Suppose 87 = -5*f + w - 0*w, 3*f + 2*w + 47 = 0. Let l = 17 + f. Solve -2*i + i + p = l for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 21*w**2 + 7*w + 8. Let t be r(-3). Calculate the highest common factor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**3 + 3*h**2 + 3*h - 4. Let l be f(3). Calculate the least common multiple of l - 2 - (-1)\/(-1) and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -5*a**2 - 25075025*a + 225675630 = 0.\nAnswer: -5015014, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6 - (-125)\/20)*60\/3. Sort 0.3, q, 349 in decreasing order.\nAnswer: 349, q, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(34)\/sqrt(2) + -5).\nAnswer: -20 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 6  (b) -3\/5  (c) -1\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y - 7 = -37*i + 41*i, 3 = 3*y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/708 and -47\/19706?\nAnswer: 118236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g**2 + 2*g**2 - 4*g**2)*(-2*g - 2*g + 3*g)*(355*g**2 + 4553 - 4553).\nAnswer: 710*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - j - 3 - 6 = 0, 4*d - 4 = 4*j. Let y be (6 - (-5 - -2)) + d. Suppose -y*l - 6 = -9*l. Solve -4*r + 2 = -f, f - l*f + 2*r - 4 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-12)\/i**(-2\/41))**(-36) assuming i is positive.\nAnswer: i**(17640\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 705a17 (base 12) to base 5.\nAnswer: 422030143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*i**3 - 5*i - 96*i**3 + 105*i**3.\nAnswer: 5*i**3 - 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 25905, 25898, 25895, 25902, 25925?\nAnswer: 25970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.9?  (a) -3\/7  (b) -1\/3  (c) 0.4  (d) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the third derivative of -v**6\/20 + v**5\/60 + v**4\/12 + v**3\/6 - 2*v**2. Calculate the remainder when ((-10)\/4)\/(2\/(-8)) is divided by d(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 28\/(-2)*1*10\/(-20).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 452 + -452.07. Which is the smallest value?  (a) 4  (b) q  (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 52476815 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 1, -9, 1\/78?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 2*x**2 + 2*x. Calculate i(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 25 + -14. Is l at most 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3782 + 4?\nAnswer: 3786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 3553 divide 102827593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the first derivative of -w**5\/30 - w**3 - 12*w**2 - 9. Let h(r) be the second derivative of u(r). Find the first derivative of h(m) wrt m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**2 - 2*q + 1. Let f be m(6). Suppose -3*k + f = 2*k + 5*j, -3*j = 2*k - 10. Solve 0 = k*x - 0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 37, 158, 361, 646?\nAnswer: 1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -186*h + 940500 = 194*h. Calculate the highest common factor of h and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6262012 (base 8) in base 9?\nAnswer: 3115530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -88 + 316 - 2*z - 32*z**2 + 2*z - 229.\nAnswer: -32*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -240*f**2*w**3 + 175*f**2*w - 29*f*w + 43*w**3 - 5*w**2 wrt w.\nAnswer: -1440*f**2 + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 220578301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -148*m + 1026557 + 386251. Does 37 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 120899372677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 9*b**3 + 5*b**2 - 72*b + 774. List the prime factors of m(16).\nAnswer: 2, 23, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**2. Let t(r) = 3584*r**2 - 30*r + 10. Let v(x) = -91392*x**2 + 768*x - 256. Let l(i) = 128*t(i) + 5*v(i). Determine l(g(u)).\nAnswer: 1792*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*s - 2*d + 12, -2*s - 41*d = -39*d - 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the third derivative of 3*w**4 + 0*w - 17 + 2*w**2 + 0*w**3 + 73\/60*w**5. What is the second derivative of n(h) wrt h?\nAnswer: 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -156 = 196*l - 202*l. Calculate the lowest common multiple of l and 312.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gngplpnnnngpnll. What is prob of picking 1 p and 1 l?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (6069\/1734)\/(7\/34)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {l: 1, w: 1, m: 1, j: 1, a: 8}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 3*v - 18 = 8*v, 0 = 3*l - v. Let g be (-4)\/(1 - l)*-1. Let k = -116 - -119. Calculate the highest common divisor of k and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 3*y = 1, 2*y - 4 = -4*f + 5*y. Suppose p - 3 + f = 0. Solve -5*x - 3 = p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 772449?\nAnswer: 3, 37, 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4012685.\nAnswer: 5, 653, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2*s**5 + 3)*(4 - 1 - 2) + s**5 + 4 - 4 + s**5 - 3*s**5 + s**5 + 2245*s**5 - 4492*s**5 + 140 + 2246*s**5.\nAnswer: s**5 + 140","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o + 4*j - 81, -3*j + j - 2 = 0. Let v = 25 + o. Suppose 3*q = q + v. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-36)\/15)\/((-6)\/20). Suppose -225 = -7*x + 419. Suppose -4*l = -g*l + x. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 28*o - 559 - 141. Suppose 427 = o*a - 23. What is the remainder when a is divided by 20\/2 - 2\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7.1 + -0.5. Let j = -7.5 - x. Which is the nearest to -4?  (a) 3  (b) j  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9243 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 6628742551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4 - 1. Let c = 3.93 - -0.07. What is the third smallest value in c, t, 3\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (-1 - 1) - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand x**5 + 2*x**5 + 2*x**5 + (-17 + 17 - 8*x**3)*(0*x**2 - 4*x**2 + x**2).\nAnswer: 29*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 70*d**3 - 27*d**2 - 27*d + 30. Let y(h) = -14*h**3 + 5*h**2 + 5*h - 6. Calculate 2*u(p) + 11*y(p).\nAnswer: -14*p**3 + p**2 + p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a = -2 - 16. What is the third derivative of 8*u**a - u**5 - u**2 + 4*u**5 + 6*u**2 - 2*u**5 + 8 wrt u?\nAnswer: 60*u**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 3*c**2 - 4*c - 7. Suppose 2*m + f + 15 = 0, 2*m - 10 = 6*m - 2*f. Calculate the remainder when b(m) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 610 + -3?\nAnswer: 60d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3127 - 3123. Let g be (6\/(-5))\/((-1)\/10). What is the second derivative of 0*r - 3*r - 13*r**4 + 23*r**d - g*r**4 wrt r?\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -18*c**2. Let d(y) = -y**2 + 8. Determine d(i(s)).\nAnswer: -324*s**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -3*u**3 + 104*u**2 + 151*u. Determine m(36).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 56\/(-40)*(-430)\/129?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 12*c + 12. Let r be q(-1). Suppose r = -11*n + 13 + 185. Solve 3*s - o = n, -3*o - 7 - 2 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 514951427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*t**3 - 2206*t - 1202*t + 2 + 1396*t.\nAnswer: 3*t**3 - 2012*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -21448, -21408, -21322, -21166, -20916?\nAnswer: -20548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -46*i**5 + 10*i**2 - 5*i + 5. Let g(v) = 23*v**5 - 5*v**2 + 3*v - 3. Let x(h) = -5*g(h) - 3*z(h). What is the third derivative of x(s) wrt s?\nAnswer: 1380*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/6 in 2, -33.2, 72, -4\/7, 5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iififiiiiifiiiiiiiii. Give prob of picking 1 i and 2 f.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a + 5, 0 = 4*h - 5*a + 23 - 64. Solve 0 = -h*v + 4, -5*v = -r - 2 - 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 3*o**2 + 129 - 129. Let k(r) = 8*r. Give k(z(p)).\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 79303613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -125*n**4 - 13*n**2 + 1585215 - 2*n**6 - 385*n**4 - 1585207 wrt n?\nAnswer: -240*n**3 - 12240*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -222261 or 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 4*i + 1348 = 0. Let z = -388 + i. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 17*f**2 - 15*f - 243. What is the units digit of i(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 50949*l + 121*l**2 - 50949*l.\nAnswer: 121*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8 + 11.2. Let j = s + -3. Let z = -581 - -584. Sort z, j, 2.\nAnswer: j, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1010\/(-404))\/((-1)\/(-2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -883 take away 0.020052?\nAnswer: -883.020052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 155\/72 in -4, -5, -0.04, 9?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 827495423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 902 - 746. Calculate the highest common factor of r and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 473 and 4429.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-4\/3)*u\/(u*u*u*u**(3\/5)*u)*(u**(1\/7))**(-49))**42 assuming u is positive.\nAnswer: u**(-2506\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) 0.4  (c) -404\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 200400257\/576 + -347917. What is the common denominator of q and -71\/1296?\nAnswer: 5184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2.722, 5, 884?\nAnswer: 2.722","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 - 4 = -3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 412024*j**3 - 558750*j**2 + 1.\nAnswer: 2472144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**3 + 308*b**2 - 1256*b + 1264.\nAnswer: 2*(b - 2)**2*(b + 158)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = 2*d - 3*d + 21, t - 3*d + 11 = 0. What is the third derivative of -3*x**2 - t*x**5 + 2*x**5 + 2*x**2 wrt x?\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**2 - v + 68. What is the remainder when c(0) is divided by (-14 + 16 - 3)*-67?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + y + 2*y = 36*y + 114, 4*a = 2*y + 26 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/2, -0.2, -0.05372, -122?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*u**3\/3 - 2338*u**2\/9 - 30316*u\/3 + 1352 = 0. What is u?\nAnswer: -78, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c**4 + 198*c**3 - 6630*c**2 + 93058*c - 471648 = 0. What is c?\nAnswer: 17, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the first derivative of -f**6\/8 - 3*f**5\/20 + 3*f**4\/16 + f**3\/4 + 5. Factor c(a).\nAnswer: -3*a**2*(a - 1)*(a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4154019799.\nAnswer: 19, 218632621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8341 + 12236. Suppose -4*m - p - 3871 = 2*p, 0 = -4*m + 5*p - d. What is m rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 8) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 5  (b) -1\/4  (c) 0.1  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:51 PM and 8:02 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*(-25)\/(-10)*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 9 = -h - 3, -3*h = -3*m + 24. Let z be (-2)\/h + (-32)\/(-18). Solve 4*t - 31 + z = 3*r, -2*t + 1 = 3*r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 35 - 23. Let v = -7 + p. Suppose 0*o - v*o = -2*b - 78, o + 3*b = 2. What is the lowest common multiple of 16 and o?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54070.46cm in millimeters?\nAnswer: 540704.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 14 = -22. Let p be k*(-3)\/(-12) + (-6)\/12. What is the units digit of 2 + 83 + (p - 5)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 72 + -72.4. Let t = -4497547\/60 - -298933\/4. Let o = t + 226. Is o at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.02 and 19357141828198?\nAnswer: 19357141828198.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1480)\/(-35) - (-2)\/(-7). Let x be -2*v\/(-9)*3. Let p be (1 + (-33)\/(-9))*3. Calculate the highest common factor of p and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/17724 and 93\/6752.\nAnswer: 141792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 60 - 61. Which is the closest to x?  (a) 0.6  (b) 1  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 4 = 0, -2*u + 1187 = d - 15285. Calculate the greatest common factor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000014203 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 241696 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 0*w = -3*w + 23, 4*x = -3*w - 17. Let p(l) = -l**3 - 4*l**2 - l - 7. Is p(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-4) + 0)*27\/(-81)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/7  (b) -1.4  (c) -204\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f + 0*f - f. Let o(i) be the first derivative of -1\/2*i**2 - 2 + 0*i. What is o(y(k))?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**3 - 38*p**2 - 28*p + 371. Calculate x(-38).\nAnswer: 1435","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let k be (-18)\/22 - (-4 - -3). Let b = 1355\/104 - 158\/13. Let u = b + -37\/24. What is the nearest to u in 5, -2\/7, k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -0.7  (b) 2\/11  (c) -10\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3005 (base 6) to base 15.\nAnswer: 2d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 2*q. Let p(h) = -7*h + 139. Calculate o(p(b)).\nAnswer: -14*b + 278","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the third derivative of -g**4\/24 - g**2. Let p be j(-3). Suppose -5*b - 4*a + 3*a = -15, p*b - 9 = -3*a. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -3 + ((sqrt(125) + 2*sqrt(125) + sqrt(125) - sqrt(125))*-2 - ((sqrt(125) - -1*sqrt(125)) + -1)**2).\nAnswer: -502 - 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((2 + sqrt(304))*-1 - (sqrt(304) + -2 + 1 + sqrt(304) - sqrt(304)) - (-3 + ((sqrt(304) - (0 + sqrt(304))) + sqrt(304))*-4))**2.\nAnswer: 32*sqrt(19) + 1221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 16*k = 10*k - 129076, 0 = -u - 3*k + 25832. Calculate the highest common factor of u and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fpp when three letters picked without replacement from {f: 2, i: 1, a: 1, p: 3, b: 3, r: 3}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -280*d + 282*d - 2 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 11769169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -110*b**2. Let l(p) = -8044*p. Calculate l(j(x)).\nAnswer: 884840*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1648?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 83128 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the first derivative of l**6\/1080 - l**5\/72 + 27*l**3 - 25. Let x(v) be the third derivative of s(v). Suppose x(i) = 0. Calculate i.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 24\/13 in 974, 6, -0.5, -8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2\/4 - -3) + 6\/8*2. Solve a*n - 16 = 3*y, -3*n + 17 = 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**2 - 14*z + 21. Let h be s(-15). Let p(j) = -j - 3*j + h*j. Let k(i) be the first derivative of 9*i**2\/2 - 20. Give p(k(t)).\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 8742050178 + -0.4?\nAnswer: 8742050177.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 5*n**2 - 77*n + 1982. Let p(o) = 3*o**2 - 42*o + 991. Give 11*p(g) - 6*s(g).\nAnswer: 3*g**2 - 991","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -0.5  (b) 0.1  (c) -0.1  (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/(-2) + ((-97)\/14 - -11).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10883 + 6*c - 10883.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 76009349 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 d = -36005 + 36004.19. Which is the smallest value?  (a) -0.18  (b) -5  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.12 in 1, 455642, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 192305, 383953, 575601, 767249, 958897, 1150545?\n\"Answer: 191648*r + 657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*k = 96 + 120 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 108033 is divided by 53969?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10362*l - 3468*l - 3412*l - 3473*l.\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -286, -3, -11, 4, 1 in increasing order.\nAnswer: -286, -11, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28889*h + 3952 = -28965*h for h.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 0.339209t?\nAnswer: 339209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**2 + 5*s + 2. Let d be m(-1). Let k = d - -1. Is k less than 4\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u + 2. Let d be g(2). Let j = d + 4. Suppose -j*q - z + 69 = 0, -3*z + 4 + 59 = 3*q. Solve q = 3*s + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that m**4 - 139*m**3 + 5004*m**2 + 26224*m - 2749120 = 0.\nAnswer: -20, 44, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 267489697081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11.57729028 + -10.377291. Let f = 1.2 - z. Round f to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 268*p - 1071 = 537 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 17778173 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -3\/446, -4\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -4*a**2 + 26256*a - 26252 = 0.\nAnswer: 1, 6563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.017 + 0.193. Let q = j + -0.12. Which is the third smallest value?  (a) q  (b) 1  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(35)*-3*-4)\/(-1*sqrt(5)*-6) + ((sqrt(560) + (sqrt(560)*3 - sqrt(560) - sqrt(560)))\/sqrt(10))\/(sqrt(8) + -2*sqrt(72)).\nAnswer: 8*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**2 - 19*n + 12028. Determine p(101).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 111 = -3*r, 3*j = -2*r + 2*j + 69. Calculate the remainder when r is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -11*r**2 - 2*r. Let y(o) = o**2. Let j(p) = -u(p) - 5*y(p). Find the second derivative of j(c) wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 1 s when three letters picked without replacement from aasdsaagdaadad.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -50 + 23. Let o = 49 + m. Calculate the smallest common multiple of 12 and o.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 3, k: 1, y: 1, d: 1, a: 1}. Give prob of sequence nd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - k - 2)*(k**3 + 0*k**3 + 0*k**3 + (-4*k + k + k)*(2*k**2 - 2 + 2) - 387*k**3 + 259*k**3 - 361*k**3)*(k + 4*k - 4*k).\nAnswer: 492*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.0848 times 0.3?\nAnswer: -1.82544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = u - 8*s + 11*s - 11, 3 = -u + 4*s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1312 - -1316. Solve d - g*o - 7 = 0, d + 3*o + 17 = -o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 219373214 to the nearest integer?\nAnswer: 14811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:10 AM and 2:01 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -36 + 23. Suppose -36*u = -37*u - 23. Let p = l - u. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - -8175.\nAnswer: 8181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i - 4. Let w be m(-6). Suppose -w*h = -26 - 22. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 2*k**2 + 5*k - 2. Determine x(3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4.4 + 3. Let j = o - -1.1. What is the smallest value in -1, 0.4, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 890646210?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the third derivative of -i**6\/60 + i**5\/60 - i**4\/6 + i**3\/3 + 3*i**2 + 5*i. Let g be d(2). Which is greater: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a - 10. Let l be (-72)\/84 + 81\/21. What is o(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 545 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16095981.\nAnswer: 3, 11, 487757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (71 - 114) + -8 + 66\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 89797 to the power of 1\/2, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dddadqidqadkdqq. What is prob of sequence adki?\nAnswer: 1\/2340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -2*h - 101, 11 = 2*d - h - 56. Let u = -13 + d. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10012110 (base 3) in base 11?\nAnswer: 1832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2529570 to the power of 1\/2, to the nearest integer?\nAnswer: 1590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*c - 4*b - 7613262 + 7613278, -19 = 5*c - 3*b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w + 2*g = 16, 0*w - 5*g = 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 51*g**3 - 5 + 5.\nAnswer: 51*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*h**2 + 2*h - 2*h + 7*h**2.\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n - t - 3, -3*n - n + 17 = t. Let v be (2\/6 - -2)\/((-119)\/(-102)). Find the third derivative of 38*w**v - 22*w**4 - 60*w**2 + 0*w**n wrt w.\nAnswer: -528*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65755876.\nAnswer: 2, 29, 359, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*z = -394 - 176. Suppose -5*p + 65 = 14*s - z*s, 0 = -p - 5*s + 43. Let q = -74 + 107. Calculate the remainder when q is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -137 (base 13) in base 12?\nAnswer: -15b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 4*n - 207 = 0, -51 = -2*g - 5*n + 45. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -30 + 32. Solve 12 = -l*z - z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -652 + 658. Let s = 324 + -185. Suppose s = x*g - 131. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 78a2a - 9473?\nAnswer: 6a567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/(-2) - (54\/42 + -3). What is the nearest to -1 in 1, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6 + 2 - -13) + -16\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 2*i - 37. Let s be c(23). Suppose 0 = -4*t + t + s. Solve t*b + 5 = 4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/47 in -3, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(55)\/(sqrt(25)\/sqrt(5)) + -3 + sqrt(11) + (sqrt(176))**2 + (sqrt(132)\/(2*sqrt(12)))**2.\nAnswer: 2*sqrt(11) + 703\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70*i - 1004 = -1144 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 11074, 11110, 11148, 11188, 11230, 11274?\n\"Answer: o**2 + 33*o + 11040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the first derivative of -10*q**3\/3 + 5*q**2 - 12. Find the second derivative of r(b) wrt b.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/7 at least as big as -85\/3733?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the first derivative of c**5\/24 - 5*c**4\/24 + c**3 + 2. Let f(k) be the third derivative of b(k). Let u(h) = -h + 1. What is f(l) + 6*u(l)?\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*d**2*k**6 + 13*d**2*k**5 + d**2*k + 45*d*k**2 wrt k?\nAnswer: 480*d**2*k**3 + 780*d**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s + 10. Let m(a) = 64447*a + 15. Let v(q) = m(q) - 2*z(q). Let o(h) = -2*h + 1. Let k be o(-4). Let g be v(k). Round g to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (659 - 688 - 3*z**2 + 5*z**2 + 2*z)*((-3 - 2 + 6)*(2 - 2 + 2*z**2) + 0*z**2 - 2*z**2 - z**2 + 2*z**2 + 3*z**2 - 6*z**2)*(-z - 3*z + 3*z).\nAnswer: 4*z**5 + 4*z**4 - 58*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -2*g**3 - 2*g**2 + g + 3. Let u(y) = y**3 - y**2 - y - 1. Suppose -5*h + m + 7 = 0, 72 - 74 = m. Determine h*n(b) + 3*u(b).\nAnswer: b**3 - 5*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 183150866 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 3, 17\/4 in ascending order.\nAnswer: -1, 3, 17\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least 6\/225658369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 769 - 837 = -17*p. Solve -4*i + 6*i = 3*g + 15, 0 = 4*g + p*i + 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -56*z**4 + 4*z**3 + 107*z - 2. Let i(m) = 2*m**3 - 1. Let b(s) = -2*i(s) + y(s). Find the second derivative of b(j) wrt j.\nAnswer: -672*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6\/1)\/(819\/1365)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3 - 3 + (0 - 2 + 4)*(3 + 1 - 6))*(-4*i + 3*i - 3*i).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*u = -3*v - 44*u + 249, 0 = 5*v - u - 445. Calculate the highest common divisor of 7117 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-2\/5)\/(z*z**(2\/15)*z)*z*z\/(z**4*z)*z**(1\/2)*(z\/z**(-1\/3))**(-22)*z**(-1)\/z**(1\/4) assuming z is positive.\nAnswer: z**(-2137\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1960 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: Is 20051903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 266214 and 3198?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 150101566 (base 7) in base 12?\nAnswer: 3395187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lfnmmmnfmnmm. Give prob of picking 1 m and 1 l.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + 4 + (3 + 3 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -2*b**2 + b**2 + 3*b**2 + b. Let j(t) = 11*t**2 + 139*t + 357. Let a be j(-9). What is p(a)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3 - -3 - -3)\/1. Suppose -p*o = 2*o - 120. 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: Let n(r) = 7281*r - 65521. Give n(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 662*w**3 - 11*w + 30. Let m(u) = 221*u**3 - 4*u + 11. Calculate 4*g(o) - 11*m(o).\nAnswer: 217*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -3261 - 3251 + 6513 + 1250*w**2 as t*w**2 + x + b*w and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -169*w**6 - 132*w**6 - 33*w**6 - 40*w + 14*w**2 + 36*w wrt w.\nAnswer: -40080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**3 - 7*d**2 - 6*d - 4. Let o be k(8). Suppose -u + o = -3*u. What is the tens digit of u*((-30)\/4 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes after 5:54 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000168654 rounded to five dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*((-4)\/3)\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes before 5:47 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*w + 2*w - 4*w + (-1 + 4 - 1)*(-w + 3*w + 2*w) + 7 + 6*w - 2*w - w.\nAnswer: 9*w + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c + 26 = -3*t, -2*c = 5*t - t - 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 9531518 minus 10.0857?\nAnswer: 9531507.9143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 22 = -10*z - 11. Let j = -3.3 - -0.3. Which is the closest to j?  (a) z  (b) 1\/7  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*q - 678 = -38. Calculate the remainder when q is divided by ((-2)\/6)\/((-26)\/1092).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {x: 3, d: 3, j: 5}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2686 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11 - 6. Suppose -8*b = -3*b - 4*i - 18, -b = -x*i + 9. Suppose b*d - 24 = 2*d. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1258 = -694*y - 7070 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2126 rounded to the nearest 100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.0097 and -0.6?\nAnswer: 0.00582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the second derivative of b**4\/6 - 2*b. Suppose -3*p = -2*p - 2. Let t(q) = q + 0*q**2 - q + p*q**2. Calculate t(x(z)).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -3*i**2. Let s(b) = -419765*b**2. Give s(n(m)).\nAnswer: -3777885*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 16 - 11. Suppose -377 = -g*d + 2*p, -235 = -3*d - 2*p - 12. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 3 + 3 - 2*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 27*x**3 - 2*x**2 + 2*x + 2. Let s = 3231 + -3132. Let d(m) = -1323*m**3 + 99*m**2 - 99*m - 99. What is s*q(b) + 2*d(b)?\nAnswer: 27*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1709, 3425, 5147, 6875, 8609, 10349?\nAnswer: 12095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 - -bc07919?\nAnswer: bc0791b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48*o**3 + 43*o**3 - 90*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -3*w**3 - 16*w**2 - 55*w - 58. Give h(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/(-2)*656\/(-6). Suppose -2*m = -4*m + y. Is 23 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/(-3) - 19\/(513\/(-42)). Suppose 0 = v - 2. Suppose 49 = -3*n - v. Which is the second biggest value?  (a) -2\/5  (b) n  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2180 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 1 = -19. Let s = 7 + z. What is the highest common factor of s and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yw when two letters picked without replacement from vcwiy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -73*i + 25*i - 32*i.\nAnswer: -80*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**2 + 5*c + 5*c - 749 + 769. Let j be x(-8). Let 20 - 16*z**3 + 16*z - 228*z**2 + 436*z**2 + j*z**4 - 232*z**2 = 0. What is z?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 189*t**4 + 104 with respect to t.\nAnswer: 756*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2*1\/9 - (-50)\/(-18). Let c be (1*-2)\/(6\/15). Let d = p - c. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2387 and 385.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**2 + 30305*n - 636839. Calculate q(21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the first derivative of -1\/14*o**4 + 1 + 0*o**3 + 0*o**2 + 0*o. Solve b(i) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 61*w**3 + 3*w**2 - 6. Let k(g) = 183*g**3 + 8*g**2 - 16. Determine -8*i(n) + 3*k(n).\nAnswer: 61*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1053 - 1052.1. What is the nearest to d in -0.6, 2, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 2*d)*(2*d - d - 3*d + (3 - 3 + 5*d)*(-74 + 203 - 612)).\nAnswer: 4834*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -490*n = -488*n - 318. Suppose -m - 62 + n = b, -3*m = 9. Calculate the smallest common multiple of 30 and b.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from nddeprdnndnnneddr.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.13, 1, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*x + 15*x - 4*x + 1.\nAnswer: 8*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -29*s**2 - 201*s + 8. Let b be h(-7). What is the second biggest value in -0.5, b, 1\/7, -7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 12664871 or 12664874?\nAnswer: 12664871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uau?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*m + 308 = -34*m. Solve -m*x + 19*x + 3 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes after 2:09 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes before 3:04 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f + 4. Let o be q(0). Let c be (-1214)\/(-6) - o\/(-6). Suppose p = 0, 0*d - c = -d - p. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 15\/4904 and 59\/12.\nAnswer: 14712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 82 (base 14) to base 11\nAnswer: a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 27.294 - -0.006. Let z = -19115 - -19087.889. Let g = b + z. Round g to two decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.33 - -2.23. Let h = -7.4 + a. Round h to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 21 (base 11) to base 8\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cyycc. What is prob of sequence cyy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-30)\/r**39)\/(r**(-15))**(1\/7) assuming r is positive.\nAnswer: r**(-468\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6\/15 - 8\/20. Solve -5*c = 2*h - 3 + 17, -5*h + 5*c = s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, 2.7, 2, 1\/6?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.391108ml in litres?\nAnswer: 0.009391108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.4  (b) 1\/4  (c) -2  (d) -14  (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -n**3 - 4*n**3 + 4*n**3 + (2 + 2 - 3)*(-2*n**3 + 6*n**3 - 2*n**3) - 13*n + 7*n**2 + 13*n + 2*n**3 to the form v*n**3 + o + l*n + x*n**2 and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*a + 12*a = -108. What is the greatest common divisor of 1566 and a?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4*v + 3*v - 4*v)*(35 + 25*v**3 - 35) + 2*v**4 + 2*v**2 - 2*v**2)*(v + 0*v - 2*v).\nAnswer: -77*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m*m*m\/(m**(-2\/7)\/m)*m*m))**(2\/13)\/(m**(-5)*m**(-4)) assuming m is positive.\nAnswer: m**(745\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 290.952 - 125411?\nAnswer: -125120.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -76635 - -117328. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = -3*k + 129, -2*k = a - 52 + 16. Suppose -3*f - 3*j + a = 0, 2*f + 55 = 6*f - j. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18 and 2104.\nAnswer: 18936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 96 - 57?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*p - 5*p = -15*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5, 16, 33, 16, -65?\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000733389 rounded to 6 decimal places?\nAnswer: -0.000733","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -7\/2, -3, 1.29, 21, -3\/5, -34?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4b8 + -619?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1804505525088 - -0.16?\nAnswer: -1804505525087.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4917*t**3 - 26*t**2 - 190446*t?\nAnswer: 29502*t - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 643 - 435. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**3 + 11*m**2 - 12*m + 1. Let s be t(-12). Let u(i) = -i**3 - 3*i**2 - i + 2. Let l be u(-2). Solve l*w - s = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 - -7. Let f(x) = 5*x**3 - 6*x**2 - 6*x. Let b = -2 + 3. Let r = b - 0. Let w(y) = -y**3 + y**2 + y. Give g*w(o) + r*f(o).\nAnswer: o**3 - 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -110001100110001010000111 (base 2) in base 15?\nAnswer: -121c3bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is a8 + -3fcf?\nAnswer: -3f27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 5*b, 0 = 5*t + 2*b - 0*b - 23. Calculate the remainder when (4\/t)\/((-10)\/(-555)) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 2*t - 6*t - 2228 = 0, 5*w - 2757 = -2*t. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 262, 1986, 6572, 15454, 30066, 51842, 82216?\nAnswer: 122622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ykknyyyyyynkyyayx. What is prob of picking 1 a, 1 y, and 1 x?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (7 - 1 - 2346\/357)\/(15\/21). Let v = -3 + 0. Let k = v + 2. What is the nearest to k in -0.2, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 42*a**3 + a**2 - 50*a + 415. What is the hundreds digit of z(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**3 + 7*w**2 - 2*w - 10. Let h be l(-7). Suppose -14 - 14 = -h*p. Suppose -p*z + 30 = -2*z. Solve 2*t + 8 = -4*g + t, z = -2*g - t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**2 + 8*q - 6. Let m be h(-9). Let f = m + 2. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4.5 - -0.5. Put 2, 0.8, u in decreasing order.\nAnswer: u, 2, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/310965657 or 1?\nAnswer: 1\/310965657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 71999997 = 3*p, -n - 3*p = -6*n + 179999997. Round n to the nearest 1000000.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 30*n + 72. Let w(y) = 3*y + 8. Let d(r) = -2*t(r) + 18*w(r). Let a(k) = 523*k**2 - 4. Calculate d(a(f)).\nAnswer: -3138*f**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of a**6 + 5891*a**5 - 1272*a**2 + 1.\nAnswer: 120*a**3 + 353460*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7 + 4. Let y = -151 + 151. What are the prime factors of 5 - (y + 3 + j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**2 - 3*g + 7. Suppose -6*p + 3 = -5*p. Let o be x(p). Suppose -163600 = -o*u + 3*u. What is u rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 66\/(1 + (-15)\/12). Let h = -180 - s. Suppose h = -66*v + 69*v. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v - 14 - 10 = -4*y, 8 = 2*y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -3 + -6 - (21 - 27)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1, -9, -2, 0, 15, 754 in decreasing order.\nAnswer: 754, 15, 2, 1, 0, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13892?\nAnswer: 2, 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -3*t. Let f(m) = 297*m**2 + 15*m + 1. Calculate f(c(q)).\nAnswer: 2673*q**2 - 45*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 5*x + 16 = 0, -x - 20 = -4*y + 2*x. What is the fourth smallest value in -1\/55, -0.2, y, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23\/4312318 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.73 and -2?\nAnswer: -1.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -5*t + 7. Let o = t - 8. Let g = 0.085 - 0.485. Sort o, g, -1\/6 in increasing order.\nAnswer: o, g, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/(-7) + (-23)\/(-7). Suppose -r = -0*s - 4*s - 13, 0 = 3*r - 2*s - 9. Solve 0 = -4*t - x - 1, -l*t - 3 + r = x for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -11.00291 and -0.3.\nAnswer: -11.30291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 2*z**2 - 16*z - 35. Calculate u(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.2 + -0.8. Let z = t + 0. Let u be (-7)\/3 + 2\/6. Is z > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1001400 + 20?\nAnswer: -1001330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 131*j**2 + 200*j + 4. What is the remainder when i(-3) is divided by 60?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 23 - 17. Let f(w) = -12*w - h*w - 7*w + 22*w. Let d(j) = 2*j**2. Give f(d(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x**3 - 1368*x**2 - 2764*x + 4128.\nAnswer: 4*(x - 344)*(x - 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 23 + -71\/3. Which is the smallest value?  (a) i  (b) 2  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, z: 13}. What is prob of picking 2 r and 1 z?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 84252349 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (16450\/21 + -5)\/((-12)\/(-108)).\nAnswer: 3, 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2250)\/725 + 3)*4\/6.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -3 + 2 + sqrt(1377) + 0 + sqrt(1377) + sqrt(1377)*-2)**2 - (((3 + (-5*sqrt(1377) - sqrt(1377)))**2 - sqrt(1377)) + (-2 + sqrt(1377))*1).\nAnswer: -49570 + 324*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -8 and 83236?\nAnswer: -665888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2963266127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 112*f**3*l - 68*f**3*n + 3*f**2*l*n - f**2*n + 2*f*l wrt n.\nAnswer: -68*f**3 + 3*f**2*l - f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 17 = -3*k, -2*i + 6 + 3 = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 minus 117433.4604935?\nAnswer: -117433.7604935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/4 at least as big as 0.177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1029 + -1002. Let l(z) = 3*z**3 - 3*z**2 + z + 1. Let j be l(2). Calculate the remainder when t is divided by (-1 + j)\/(5 - 4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20450 = 699*k - 724*k. Calculate the remainder when 2459 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -8*f**2. Let o(q) be the third derivative of -57*q**4\/4 + 17*q**2 - 16*q - 2. Calculate d(o(p)).\nAnswer: -935712*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22471*o + 99959 - 457792 = 203942 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 66 - (-5 - -4)*-4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 278631825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -611 - -616. Suppose -6*a - s = -17. Solve 0 = i + a*h + 4, 2*i - h - 12 = 5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 21, 84, 183, 312, 465, 636, 819?\n\"Answer: -t**3 + 24*t**2 - 2*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 1 + (sqrt(55) + 2*sqrt(495))\/sqrt(11))**2.\nAnswer: 28*sqrt(5) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the third derivative of n**5\/60 + 5*n**4\/6 + 5*n**3 + 23*n**2 + 10. Calculate r(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*m**2 - 132*m + 1305.\nAnswer: 3*(m - 29)*(m - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -152761, -303287, -453813, -604339?\n\"Answer: -150526*s - 2235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -a2 - a8?\nAnswer: -14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000530667 to seven dps.\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-5))\/(((-3)\/(-21))\/((-940)\/17108))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -2*x**3 + 42*x**2 + 2560*x + 108. Calculate r(48).\nAnswer: -1428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d. Let n(t) = -255*t**2 + 3*t + 98. Give n(z(j)).\nAnswer: -255*j**2 + 3*j + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1491 and 21082740?\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10754?\nAnswer: 2, 19, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -31 - -49. Suppose 3*i - u = -3. What is the tens digit of (-44)\/10*i\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**2. Let n(i) = -3*i**3 - 18*i**2 + 3*i + 6. Let z(f) = -12*a(f) - n(f). Factor z(b).\nAnswer: 3*(b - 1)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1325568899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 338*b = 339*b - 613. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 5*p + 8 = 0, 4*p + 54 - 32 = 5*y. Let k be (952\/(-272))\/((-4)\/y). Factor s + 0 + 5\/4*s**4 + 6*s**2 + k*s**3.\nAnswer: s*(s + 2)**2*(5*s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 34870556 by 1999.\nAnswer: 17444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -4. Let q(b) = 2*b**2 + 88. Let g(j) = q(j) + 14*v(j). Let s(p) = -7*p**2. Determine s(g(u)).\nAnswer: -28*u**4 - 896*u**2 - 7168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -11*v**3 - v**2. Suppose 25 = f + 4*f, 4*p - 5*f + 69 = 0. Let i = 6 + p. Let k = i - -4. Determine u(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13 - 6. Let j(q) = 14*q + q - 4*q - 3 - g. Let w(r) = 17*r - 15. Let h(n) = 8*j(n) - 5*w(n). Differentiate h(b) with respect to b.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 23 - -11*(-30)\/110. Solve 24*o + b = 28*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 16 - f**2 - 3 - 24 + 8.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21401217 (base 8) to base 7.\nAnswer: -53666414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 20046\/5 or 4009?\nAnswer: 20046\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uc when two letters picked without replacement from zzczccczucucc.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -10 - (7 - ((21 - 4) + -6))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b - 3*a + 4, -b - 14 = -4*a - 2. Calculate the remainder when 82 is divided by (-377)\/(-26) - 2\/b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3bb1a (base 12) to base 11.\nAnswer: 57253","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 2*y - 5. Let j(t) be the third derivative of -5*t**4\/12 + 25*t**3\/6 + 9*t**2 - 3*t - 7. Determine -11*a(p) - 2*j(p).\nAnswer: -2*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 25 - 29. Let v(h) = 4*h + 5. Let z(q) = -7*q - 9. Let g(d) = -5*v(d) - 3*z(d). Determine g(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 1, s: 3}. What is prob of sequence ssds?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5 and 886.\nAnswer: 4430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -313 + 339. Suppose s + i*o = 29*o + 1, 0 = 3*s + o - 23. Calculate the greatest common divisor of 3 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 23362, 23585, 23980, 24553, 25310, 26257?\nAnswer: 27400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6*2\/(-3) + 10. Solve 3*v + f = v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*r**3 + 27*r**3 - 14*r**3 - 9*r - 10*r**3 - 19*r to the form s*r**3 + i*r**2 + d*r + b and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m + 5. Suppose -g = -p, -2*p - 3*p + 32 = 3*g. Give k(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-56*v + 97*v - 61*v)*(-6 + 0 + 4) - v + 0*v - v - 2*v - 3*v + 3*v + (3 - 1 + 0)*(3*v + 3*v - 4*v))*(14*v - v**2 + 3*v**3 - 14*v).\nAnswer: 120*v**4 - 40*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(27\/(-6)))\/((-86112)\/1404).\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1 + ((-8)\/(-28) - (-21340)\/35). Let l = w + -575. Calculate the remainder when 1 + (99 - 0) + 2 is divided by l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13 + (15 - (-3128)\/(-207) - -13)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 - (8 - (18 + -4)) - 0.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = 3*q + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10*t + 2*t + 11*t**3 - 19*t**3 wrt t?\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3096922 (base 11) to base 9\nAnswer: 11234543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(320) - -1*sqrt(320))*-5 - (sqrt(5) + sqrt(35)\/(sqrt(56)\/sqrt(8)) + -1))**2.\nAnswer: -164*sqrt(5) + 33621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 8*w + 38. Let f(b) = -b - 12. Let n(q) = -16*f(q) - 5*r(q). Calculate n(2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1296\/7?  (a) -0.3  (b) 0.4  (c) 4  (d) -0.03  (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -1136543 (base 7) to base 5\nAnswer: -14101433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3107 (base 9) to base 8.\nAnswer: -4343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 2*b = -374, -738 = -4*o + 2*b - 3*b. What is the highest common factor of 37 and o?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.5 + -3.5. What is the third smallest value in q, -2\/3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2119 + -666. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16 + -18. Put -5, -1, -3, n in ascending order.\nAnswer: -5, -3, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -2042323*n - 4 + 2042314*n - 3*n**2 - 8 + n**3. Determine i(6).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 79 + -170. Let a = j + 94. Sort 2, 5, 0, a in decreasing order.\nAnswer: 5, a, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes before 9:54 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.0870846437279 + -838956.7129013562721. Let y = j + 838956. Let s = 0.8 + y. What is s rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-10)\/(-12))\/((-3)\/(-18)). Suppose l*h - 1 = 4. Let v(n) = 8*n**2 - n + 2. Let r be v(h). Which is smaller: 8 or r?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + r = -4*h - 1141, 5*r = -10. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 289953 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/270)\/(16\/1780) - (-24)\/(-64).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -453 divided by -1.\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - 4 - (5 - 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 478076.2mg in grams?\nAnswer: 478.0762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -60*s - 63*s + 120*s. Which is the nearest to 20?  (a) -0.3  (b) -4  (c) s  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*51\/(5967\/(-26))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 2*v - 9. Let m = 8 - 3. Suppose -3*p + 3*n = -33, m*p = 3*n - 8 + 53. Let z be y(p). Sort -5, -3, z.\nAnswer: -5, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 1211 = 4*z, -2*j - 1210 = -2*z - 2*z. Let g = z - 193. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 5 - 67 = 0. Let x be (-2542)\/b - 8\/36. Suppose 3*v = -0*v + x. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-15)\/10*56\/(-6). Let m be (r + -14)\/(1 + 0 + 3). Calculate the lowest common multiple of -33*(m + (-5)\/15) and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 29, 53, 93, 155, 245?\nAnswer: 369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 + 7. Solve -r + p = -2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8709 or -8708?\nAnswer: -8708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ip when two letters picked without replacement from {i: 1, d: 1, c: 3, u: 3, p: 3, q: 3}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 2*g**2 - 20*g - 19. Let u(k) = -3*k**2 - 17*k + 1. Let o be u(-5). Let c be z(o). Solve 0 = 4*i - w - 9, 5*w - 8 = -5*i + c*w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 53*b**2 - b - 1. Is q(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + 200480 = 4*p. Let k = p + -116961. Let c = -125841 - k. Round c to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k. Suppose o - 9 = -4*p, 2*o + 4 = 3*p - 0*p. Let d(q) be the first derivative of -5*q**2 + 0*q + 7 + 0*q + p*q**2. What is i(d(u))?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 200 + -199.99999899. What is x rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -525 + -9537?\nAnswer: -9a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n + 6*x - x + 76, 5*n - 2*x = 78. Is (n + -1)*((-10)\/(-1) - 2) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, 27, -815.9, -1?\nAnswer: -815.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 1. Let n(v) = v + 5. Let r(z) = n(z) + 5*y(z). Let k be r(-6). Suppose -2*l + 54 = 4*q, -k*l - 6 = 3*q - 49. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5183, 8045, 10905, 13763, 16619, 19473, 22325?\nAnswer: 25175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 37489692 by 76044.\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2985 and 27684681.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -823 + 827. Put -6, y, -3 in decreasing order.\nAnswer: y, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 736 divide 4737632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1764.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is d93 + 9d?\nAnswer: e30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**3 - 4*w**2 + 2*w + 3. What is the least common multiple of 2 and l(4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 582 + 8\/((-32)\/(-12)). Let n = k - 577. Solve -5*o + 3*a = -0 - 10, 0 = -4*o - 3*a + n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.044 + 6.044. Let d = 0.16 - -0.04. Which is bigger: x or d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4240202 (base 9) to base 8\nAnswer: 10522076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -2, 2336.59, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -16 + 10*b + 5*b + 16. Let g(x) = -2*x. Give z(g(y)).\nAnswer: -30*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3.2 + -3. Let u = 1.19 + -0.19. What is the third biggest value in u, i, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 118173?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r - 7 = 3*q - 26, 4*r - 4*q + 4 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -22*z. Let j(s) = -3789*s**2. Determine j(v(q)).\nAnswer: -1833876*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 2 - 4 = 0. Suppose 33 = -j + c*j. Let r be -2 + (1*j)\/3. Solve p = 4*v - 4 - r, 4*v - 10 = -2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 651*i - 651*i + i**2 + 2 - 5*i**2 in the form h + l*i**2 + s*i and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 12*a = 8*a - 38337, -a = t - 38312. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 75*z - 74*z - 29. What is the remainder when 140 is divided by z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 38*d**2 + 10*d - 1. Let v(j) = 37*j**2 + 7*j. Calculate 2*b(k) - 3*v(k).\nAnswer: -35*k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8012254 is divided by 28821.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(16) - (sqrt(16) - (sqrt(144) + 2*sqrt(144))\/sqrt(9)) - 2*sqrt(144))\/(sqrt(968)*1 + -1*sqrt(648)).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the second derivative of -2 - 15*n + 0*n**5 + 29\/30*n**6 + 24*n**2 + 0*n**4 + 1\/6*n**3. What is the second derivative of r(a) wrt a?\nAnswer: 348*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 1080*s - 2. Let m(g) = 853*g + 2. Give h(m(v)).\nAnswer: 921240*v + 2158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3502, -3312, -2996, -2554, -1986, -1292?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 20 = 4*l, -3*r - 2*l - 12 = -3*l. Let q = -13 - -8. Let w be 8\/12 + (-26)\/(-6). Put r, w, q in decreasing order.\nAnswer: w, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:08 AM and 9:14 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 56*z - 72*z**3 - 2 + z**2 - 55*z + z**2 + 66*z**3. Let t(g) = 7*g**3 - 3*g**2 + 3. What is -3*f(a) - 2*t(a)?\nAnswer: 4*a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -329500, 5, -0.3 in descending order.\nAnswer: 5, -0.3, -329500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 4 + 0)*(-2*z + 0*z + z) + (1 - 1 - 6)*(-z + 6*z - 2*z).\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that -2*z**4\/5 - 58*z**3\/5 - 406*z**2\/5 + 58*z\/5 + 408\/5 = 0.\nAnswer: -17, -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 35\/20 - (-1)\/4 - -86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 9*a**3 + 6*a. Let h = -138 + 132. Let i(g) = g**3 + g. Determine h*i(f) + z(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g*g**0*g**(-10)\/g*g**(-1\/12)*g*(g\/(g\/g**7))\/g assuming g is positive.\nAnswer: g**(-37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -85, -118, -179, -274, -409, -590?\nAnswer: -823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1923656.03 rounded to the nearest one thousand?\nAnswer: 1924000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -416 - -440 - (-1708)\/(-70).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 4*p + 8*p - 5 to j*p + o and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1689947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 15  (b) 73  (c) 3\/2  (d) 0  (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4572 or 4576?\nAnswer: 4576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a - a - 3*v - 22, 3*v - 3 = 0. Let w = a + 5. Which is smaller: w or 2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2298533\/140 + 16418. Find the common denominator of w and 83\/50.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (15\/4)\/(12\/64). Solve -4*s = 4*v - 16, -5*s - 4*v - 5 + p = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*r**4 - 3*r**4 - r**4 + (-5*r**2 - 4*r**2 + r**2)*(-4*r + r**2 + 4*r) + r**4 + 6*r**4 - 2*r**4.\nAnswer: -5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the third derivative of 7*o**4\/24 - o**3\/6 - 2*o**2 - 894*o. Let m(i) = 7*i - 2. Give 2*j(k) - 3*m(k).\nAnswer: -7*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 14*z**3 - 2*z + 1. Suppose 0 = 4*x - 20 - 0. Let u be (-3)\/x + (-8)\/(-5). Is d(u) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -272569520 by 6814238.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2469603701 to the nearest integer?\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vll when three letters picked without replacement from {t: 1, l: 8, v: 8}.\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**2 + 1. Suppose 1 = -3*w + 4. Let d(i) = i - 1. Let c(x) = w*v(x) - d(x). What is c(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 873 and 479277?\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**2 - 15*v + 9. Let i(y) = y - 1. Let d(r) = 4*i(r) + u(r). Let x be d(11). Factor -2*c**2 - 8*c**5 + 2*c**4 - 11*c**5 + 18*c**x + c**3.\nAnswer: -c**2*(c - 2)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, z: 2, w: 1, c: 1}. Give prob of sequence wh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the second derivative of 2*u**6\/135 + u**5\/15 + 2*u**4\/27 + 29*u. Let d(k) = 0. What is k?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 25\/8 of a microgram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-11\/4)\/o*o\/(o*o*o*o**(-2\/9)*o))**(-7) assuming o is positive.\nAnswer: o**(1645\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:13 PM and 3:44 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 1132\/(-24904)*11\/7\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.1 + 0.1. Let n = 0 + g. Suppose -17 = -5*a + 2*p, a - p = 3*p + 7. What is the third biggest value in a, 1\/3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**3 + 109*i**2 - 1719*i + 7371.\nAnswer: -(i - 91)*(i - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y + 5*w + 11, -y + w - 15 = -34. Let j be (98\/28)\/(3\/6). What is the highest common factor of y and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1831*z**2 + 1311*z + 21*z**2 + 421*z**2 + 1637*z - 1556*z**2 wrt z.\nAnswer: -5890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -27044947*r**4 + 186472911?\nAnswer: -108179788*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from gggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.87 - -37.87. Let d = -36.2 + t. Let q = d + -3.8. What is the third smallest value in 5, 4, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -44*w**3 - 13*w**2 - 4. Let x(f) = -15*f**3 - 4*f**2 - 1. Let h(o) = 2*p(o) - 7*x(o). Calculate h(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.4 + 1.2. Suppose -6*x + 3*x + 18 = 0. Let p be 3\/x - 10\/36. Sort -0.5, p, q in increasing order.\nAnswer: -0.5, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 222, 442, 662, 882, 1102?\n\"Answer: 220*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 8*s - 49. Is 47 a factor of n(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in twenty-nine thirds of a day?\nAnswer: 13920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 113\/430 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 754.3087 litres?\nAnswer: 754308.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -29511 or -29512?\nAnswer: -29511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1772588438?\nAnswer: 2, 1213, 730663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = -3*j - 12, j = -2*d + 182. Suppose -4*m - m + d = 3*y, -16 = -m + 2*y. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*w**2\/8 - 3489*w\/4 + 3495.\nAnswer: -3*(w - 4)*(w + 2330)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 + -3.05. Let o = j - 0.63. Round o to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.14487 to 3 decimal places.\nAnswer: -0.145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 992582968?\nAnswer: 2, 13, 734159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1331) + (-3 + sqrt(1331)*1 - sqrt(1331)) - sqrt(1331)) + sqrt(1331) + sqrt(1331).\nAnswer: -3 + 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*g + 15*g + 3*h - 9, 3*g - 9 = -3*h for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.0731179 and 0.032.\nAnswer: 0.1051179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*u - 96 = -48*u. Solve u*f = 54 - 90 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*b - 704 = -6*b. Let c be (-2)\/(-5) + b\/(-10). Suppose -3*k + 219 = 2*v, 5*v - 578 + c = 5*k. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the second derivative of -w**7\/840 + 47*w**3\/6 - 10*w. Let g(h) be the second derivative of a(h). Determine g(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the first derivative of v**3\/3 + 3*v**2 + 2*v - 22. Give b(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 92*f**4 + 362161*f**3*n**2 + 12976*f**2*n**2 + 4454*n**2 wrt f.\nAnswer: 2208*f + 2172966*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 43*y - 60. Let m be k(15). Let v = -367 + m. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*n + 1530 = -38*n. Let w = n + 503. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10375 divided by 156\nAnswer: -10375\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s**2 + 2*s**2 - 3*s**2)*(3*s + s - 5*s + (3 - 3 - 3)*(-764 + 764 + 92*s)).\nAnswer: 554*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-14)\/4)\/(2*2\/(-8)). Let c(h) = 14*h**3 - 4*h**2 - 19*h + 20. Is c(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -26 + 61. Suppose 3*l - w = -q, 4*l + q = -q + 48. Calculate the highest common factor of l and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**3 - 30*v**2 - 32*v + 43. What is the remainder when u(-29) is divided by 47?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 w when two letters picked without replacement from {a: 4, w: 1, t: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 20338 + -11409. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1933 - -1945. Let y = -8 - -8. Which is the smallest value?  (a) k  (b) -1  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1566 + -2039.15317326.\nAnswer: -3605.15317326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 72\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -56738 + 56735.6317. Let r = -77 - -74.62. Let d = f - r. What is d rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 - -106. Let y = f - 79. Let s = y + 30. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 226?\nAnswer: -1\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -11445*o + 11501*o - 1343 + 111 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 100795 + -e?\nAnswer: 100786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 29255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -n**2 + 5*n + 4. Let g be j(5). Suppose 2*a + 0*a = g. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h + 1. Let u be ((-2)\/3)\/((-8)\/(-12)). Let m(y) = -y. Give u*m(z) + 2*r(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 43\/438832?\nAnswer: 43\/438832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-4)\/(-6))\/((-9)\/81). Let n(y) = -y**3 - 6*y**2 + 2*y + 9. What is n(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 19211.38 centimeters?\nAnswer: 192.1138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5893771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*s - s - 7 + 5*s + 7*s + 18*s**2 - 3*s.\nAnswer: 18*s**2 + 18*s - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 n when two letters picked without replacement from {s: 1, o: 7, l: 2, n: 4, c: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 151200?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that 4*u**2\/9 + 932*u\/9 - 1880\/9 = 0.\nAnswer: -235, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4139 or 4137?\nAnswer: 4137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -22710790 rounded to the nearest one hundred thousand?\nAnswer: -22700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 17.348 times 1\nAnswer: 17.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 63 and 297?\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -132.2 - -132. Let o = -27 - -29. What is the nearest to n in o, 5, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*t - 14*t = 3*b - 17, 10 = 2*t. Suppose 2*p = b*w - 3*p - 932, 0 = -w + p + 232. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes before 9:54 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (168\/(-9))\/((-112)\/(-17472)*-91).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (9\/(-3))\/(6 - (-7 + 10)). Which is the closest to s?  (a) 1\/5  (b) -0.12  (c) -1\/4  (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -40*j + 29*j**3 + 24*j + 2 + 16*j wrt j.\nAnswer: 87*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*f + f + 0*f + (-3 + 4 + 1)*(f - f + 2*f) + 6*f - 3*f - f + 4*f - 3*f - 2*f)*(3*f**2 - 5*f + 5*f).\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -2*l**5\/11 + 1950*l**4\/11 - 93460*l**3\/11 - 726720*l**2\/11 - 116928*l = 0.\nAnswer: -4, -3, 0, 58, 924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 3\/46  (c) -33  (d) 0.4  (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -48606, -97212, -145828, -194460, -243114, -291796, -340512, -389268?\n\"Answer: -b**3 + b**2 - 48602*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 863, 1723, 2585, 3449?\nAnswer: 4315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the third derivative of a**4\/6 + a**2 - 57*a + 1. Let g(o) = 816*o**2. What is g(i(k))?\nAnswer: 13056*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**2 - 2*q - 4. Let d be x(4). Suppose -d*p = -7*p + 51. Suppose -c - 3*u + p = 0, 9 = 3*u - 6. Solve 4*t = 2*g, c*g + 2*t + 4 + 2 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 5, k: 3}. What is prob of picking 3 k?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6370)\/154*(-6)\/10 - 92\/(-506).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 - 3. Let w = 9 + p. Let d = -69 - -150. Calculate the greatest common divisor of w and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 284 and 4402.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -128*r - 7. Let s be 1\/(-2)*(-4 + 1 + 9). Is a(s) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 60088581 and 60088582 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4 - 13242?\nAnswer: -13233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-28)\/10*(-221 + 226).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*r**2 + 3\/7*r**3 - 6\/7 - 9\/7*r = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -280, 3\/7, 21 in increasing order.\nAnswer: -280, 3\/7, 6, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 50 + -51. Let z(j) = 0 + 1 - j + 4*j. Let d(v) be the first derivative of v**2\/2 + 540. Determine k*z(m) - d(m).\nAnswer: -4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 426 or 428?\nAnswer: 428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 81875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-65)\/195)\/(1\/((-9)\/15)))\/((-1)\/(-8)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) 50  (b) 2  (c) -1\/4  (d) -0.2  (e) -5\/2  (f) 1  (g) 0.24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.0717 - -0.2617. What is the biggest value in 3, x, -0.7, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - t + 182 = 0, 4*w + 3*t - 248 = -t. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24746857207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61 = 8*i - 13. Let v be i\/18 - ((-13)\/3 + 1). Determine y, given that -10\/13*y**2 + 2\/13*y**v - 8\/13 + 16\/13*y = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -187612.427 to the nearest 1000.\nAnswer: -188000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 567399 is divided by 70?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 164639 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -158 + 85. Let f = 80 + n. Calculate the lowest common multiple of f and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes before 1:17 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 6380, 12790, 19200, 25610, 32020, 38430?\n\"Answer: 6410*q - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ferurrrurrerrrararrr. What is prob of sequence rua?\nAnswer: 13\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 30*h**2 - 25*h + 25. Let p(t) = -5*t**2 + 4*t - 4. Calculate -25*p(x) - 4*u(x).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 27949 to the power of 1\/2, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g**4 + 3 - 3)*(0 - 1 - 4) + (0*g + 0*g + g)*(4*g**3 - g**3 - 5*g**3) - 5*g**4 + 2*g**4 + 0*g**4.\nAnswer: -15*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 6, -1.8, -9?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 65 and 2756.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -13473*o + 134. What is the units digit of a(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 40 and 480?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1\/6, 5, -40\/7.\nAnswer: -40\/7, 1\/6, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 51238 and 8602?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*(((-39)\/(-84))\/13*-4)\/1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2095 and 2874340?\nAnswer: 2095","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 + -274d?\nAnswer: -274a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 61960 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 2*v + 12. Let k = 2 - 17. Let c be w(k). Which is bigger: c or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 14937162, 2, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (11 + 3 - -8).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 86 in 16, 7\/4, -5?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2*(15 - 17)*1. Let d(a) be the third derivative of -7\/6*a**t - 2\/15*a**5 + 0*a - 8\/3*a**3 + 1\/30*a**6 - 7*a**2 + 0. Factor d(p).\nAnswer: 4*(p - 4)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/300 and -47\/600?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 2270 divide 20259750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3.3?  (a) 14  (b) 0.31  (c) -177\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 103889 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 137571352 to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 9*q**2 + q + 1. Let t be v(-1). Let a = t - 6. Solve 12 = -4*w + 5*d, -w + 4*w - a*d = -6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 247171, 494338, 741493, 988630, 1235743?\n\"Answer: -u**3 + 247174*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1940 a factor of 28449940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 1371825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 16, 2, -3, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pxxpxxxx. What is prob of picking 3 x?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes after 8:20 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-52)\/60 + (-2)\/6. Let q(s) = -s**3 + 16*s**2 + 36*s + 4. Let b be q(18). What is the nearest to -0.2 in b, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 8\/28 - 30\/(-42). Which is smaller: j or -6\/41?\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 59.54 - 59.468. Which is smaller: s or 5.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = 7*s + 4*s. Let j(d) = -3*d + 13. Let t be j(s). Which is smaller: t or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 6*t = 2*t. Sort t, -3, 3, 4.\nAnswer: -3, t, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 7*r + 32. Let x be l(-6). Let t(y) = y**3 + 20*y**2 + 78*y + 74. Let a(z) = -2*z**3 - 39*z**2 - 157*z - 149. Let p(c) = x*t(c) - 4*a(c). Factor p(w).\nAnswer: -2*(w + 2)**2*(w + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 2 = 11. Is 18 + (1 - o) - 1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2220 minus -102.7127?\nAnswer: 2322.7127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*z = 5*z. Let o(i) = i**2 - 6*i - 3. Let h be o(6). Let l be (-2)\/(-6)*1*h. Is z at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 157050752 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*m - 1421 = 1299. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1264.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-4)\/(-5))\/((-5)\/(-150)*4). Suppose -8*g + m*g = 8. Is ((-2 + -2)\/g)\/(2\/1730) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = 2*f + 30. Let p = -9 - f. Let s = 0.9 - -3.1. Which is the biggest value?  (a) 3  (b) s  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 111014314 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (292\/1022)\/((-1)\/3*2).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1056\/(-720)*15)\/((-56)\/(-84)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v - 6*v + 1 - 21*v**3 + 20*v**3 + 0 + 8*v**2. Let m be -2*-1*5\/2. Is q(m) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1341 + 6?\nAnswer: 1347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 31046651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (6*l**2 + 4*l**2 + 4*l**2)*(-114 + 165 + 39) in the form p*l**2 + x*l + v and give p.\nAnswer: 1260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 285*v**4 - 4*v**2 + 17213?\nAnswer: 1140*v**3 - 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -20a46 + -1?\nAnswer: -20a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 19 = -u - 0*k, 0 = 5*k - 25. What are the prime factors of (12\/u - -30) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 11 = -j, -431*j = -426*j - 2*g - 33 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.3 + -1.3. Which is the nearest to h?  (a) 0.1  (b) 2\/11  (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 196012 divided by 457?\nAnswer: 196012\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 15*y**4 + 4*y**3 - 23*y**2 - 4. Let l(m) = 16*m**4 + 3*m**3 - 23*m**2 - 3. Let d(i) = -4*l(i) + 3*u(i). Find the third derivative of d(h) wrt h.\nAnswer: -456*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6222 is divided by 1241?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 126, -1, 7\/2, -3\/31, -2 in descending order.\nAnswer: 126, 7\/2, -3\/31, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6214544, 12429095, 18643648, 24858203, 31072760, 37287319?\nAnswer: 43501880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -d**2\/7 + 3894*d\/7 + 1265920 = 0. What is d?\nAnswer: -1610, 5504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 2\/1*665\/(-140)*(18 - 14)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19587 + -8572. What are the prime factors of v?\nAnswer: 5, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 20 - -122. Suppose -2*u - h = -862. Suppose 5*i = x + u, 4*x - 2*x + 223 = 3*i. Does 22 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1538, -3084, -4630, -6176, -7722, -9268?\n\"Answer: -1546*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11073 - 32386 = -380*z - 10172 - 8101 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2118*b + 2118*b + 34120*b**2 - 6*b**3 - 34120*b**2.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -23*x + 1147. What is o(50)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -685*l - 50. Give k(0).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -69.9944 + 70. What is d rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -322*j**2*z - 106*j*z**2 + 259362*z**2 wrt j.\nAnswer: -644*j*z - 106*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 less than 0.055354?\nAnswer: 4.055354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, a: 10, f: 1, z: 3, q: 3}. What is prob of picking 1 a and 1 k?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 + 12*s - 8 - 1 + 1 - 2*s + (-3 + 0 + 2)*(-3*s + s + s) - s + 4*s - 2*s)*(s + 2*s - 5*s) + 0*s**2 + 0*s**2 + 2*s**2.\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**2 - d - 22. Suppose 6*i + 21 = -39. Is g(i) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 151\/35490 and 109\/6318.\nAnswer: 2874690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 1)*(0 + 3 - 4)*(-252 - 14*v + 252).\nAnswer: 28*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/92*6*((-61912)\/(-852))\/109\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 0*j**2 - j**3 - 6*j**2 + 3 + j - 2*j**2. Suppose -34*x + 25*x - 36 = 0. Let v(b) = -2*b**3 - 9*b**2 - 4*b - 8. Let f be v(x). Calculate i(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 1274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -205 or -5\/14?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*h**3*i**4 - 4950025*h**3*i**2 + 5*h**3 + 7958859*h wrt i.\nAnswer: -8*h**3*i**3 - 9900050*h**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -45 times 80.889?\nAnswer: -3640.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -12, -5, -6 in decreasing order.\nAnswer: 6, -5, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 104493, 107749, 111005, 114261, 117517?\n\"Answer: 3256*l + 101237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -3*y**3 - 3*y**2 + 14*y + 5. Let r(j) = 3*j**3 + 3*j**2 - 12*j - 4. Calculate 6*q(z) + 7*r(z).\nAnswer: 3*z**3 + 3*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 77259.67 litres to millilitres.\nAnswer: 77259670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-57)\/15 + 1)*-5. Let j = l + -10. Find the second derivative of r - 4*r**4 + r**j + 2*r**4 wrt r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -2\/11  (b) -0.4  (c) -0.2  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes after 9:29 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 + 270a?\nAnswer: 2706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) 4  (b) 0.02  (c) 322\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -0.1276 times 0.4\nAnswer: -0.05104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 0)*(-a - 2 + 2) + 2*a - 2*a + 2*a - 5*a - 2*a + 3*a - 19*a + 7*a - 95 + 10*a + (-1 + 2 - 2)*(0 + a + 0).\nAnswer: -4*a - 95","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**2 + 4*u + 4. Let v be b(-3). Is v equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/2*u - 1\/2*u**2 + 1\/2*u**4 + 1\/2*u**3 + 0.\nAnswer: u*(u - 1)*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0533654916 rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a kilometer in meters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 121 + -119. Suppose b*w + 2713 - 16847 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - z + 395 = 0, -20 = -3*z - z. Solve -m*j + 77*j = 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1566657 (base 9) in base 14?\nAnswer: -18959a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10 + 29. Let b = r + -36. Suppose 10 = b*g - 2*k + 3*k, 4*g = -3*k + 10. Calculate the remainder when g is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -0*w + 2*w. Suppose -t - 2*t = -6. Let k be t\/(-10) + (-24)\/(-320). Which is the third biggest value?  (a) -0.4  (b) w  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1136032 = -64*p - 360160. What are the prime factors of p?\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5.4 * -0.3\nAnswer: 1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0112487915 to four dps.\nAnswer: -0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence crr when three letters picked without replacement from {c: 5, j: 6, r: 4, o: 4}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1, -33, -91, -173, -279, -409, -563?\n\"Answer: -12*z**2 + 2*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.56 plus -0.21?\nAnswer: -1.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20 + 59 + 5*i**2 - 2*i**2 - 5 + 77.\nAnswer: 3*i**2 + 151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 + 0. Suppose 3*p + 6 = -3*r, 0 = 2*r - 3 + 7. Suppose p = -u*z + 12 + 12. Calculate the lowest common multiple of z and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/7  (b) -1  (c) 23\/879\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (18\/(-15))\/((-2)\/(-10)). Let g(k) be the first derivative of k**4\/4 + 5*k**3\/3 - 3*k**2 + 4*k + 179. What is g(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 4*s**2 + 64*s + 5. Let q be l(-16). Suppose -q*j = 5*k + 30, -6 = -4*k - 2*j + 4*j. Let n be 4 + -12 + (-4)\/k. Put n, 5, 1, -3 in descending order.\nAnswer: 5, 1, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 273*g - 1756*g + 31819 + 27501 for g.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -208*f**4 + 344*f**2 wrt f?\nAnswer: -4992*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 120 + (0 + (-10 - -13) + 2 - 7).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 40 - 7. Let q = 83 + h. Let k = 279 - q. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uqh when three letters picked without replacement from huqqii.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in v**2 - 3*v**3 - 261*v - 11191*v + 0*v**3.\nAnswer: -3*v**3 + v**2 - 11452*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*l**2 - 948 - 945 - 3*l**2 + 1893.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 18, w: 1}. Give prob of sequence wf.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the first derivative of 2*r**5\/15 + 34*r**4\/3 - 148*r**3\/9 - 116*r**2 - 138*r + 10623. Suppose k(b) = 0. What is b?\nAnswer: -69, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 57395670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = o + 233, -4*t + 253 = -t - 5*o. Suppose 0*r - 4*r + t = 0. Round r to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 2*w**2 + w + 1. Let m(f) = 154*f**3 + 44*f**2 + 22*f + 22. What is 44*d(n) - 2*m(n)?\nAnswer: -308*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/15)\/(16\/140)*-4.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5352870*i**3 + 3*i**2 - 5942865 wrt i.\nAnswer: -16058610*i**2 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*m - 11*m - 8*m + m - 3*m + m + (2 - m - 2)*(2 - 4 + 1) + m - 2*m - m to j + p*m and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b\/(b**(2\/3)*b)*b)**(2\/23)*b\/(b**(-4\/15)\/b)*b**(-15) assuming b is positive.\nAnswer: b**(-1451\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.189997 + 284059?\nAnswer: 284059.189997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1695750 and 303900.\nAnswer: 3435589500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11 + -19. Let i(f) = 2*f - 5. Let u be i(g). Let y = -14 - u. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 138\/113 - 2770\/4859. Calculate the common denominator of n and 13\/602.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -2*r**2. Let o(i) be the third derivative of -i**5\/6 + 8*i**2. Give o(b(h)).\nAnswer: -40*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67*x = -70*x + 4*b - 18, b - 7 = 2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zdm when three letters picked without replacement from {m: 4, z: 1, i: 3, d: 5}?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pco when three letters picked without replacement from boboobooccobopooco?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -59 + 51. Does 34 divide 4\/z*-16 + -4 - -234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1049187499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6009 - 6009.4. What is the smallest value in -11.7, b, 0?\nAnswer: -11.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-27)\/6)\/3)\/((-282)\/2632)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5 and 20448?\nAnswer: -102240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 192 a factor of 1153096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 183 + -180. Solve 11 = w*l + 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 2*l**3 - 1. Let b(a) = a**2 - 10*a - 9. Let f(d) = 5*d + 1. Let z be f(2). Let x be b(z). Suppose 2*w + 3 - 13 = -x*t, -w = -2*t - 2. Give i(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 times 5.43333?\nAnswer: 211.89987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1298332 and 11214.\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*b**2 - 4*b**2 + 2*b**2)*(53*b**3 - 129*b + 129*b) - 34*b**5 - 3*b**2 + 3*b**2.\nAnswer: 72*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 4*w = 14 + 16, 3*o + 25 = 2*w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (556 + 37 + 52)*(45*v**3 - 32*v**5 - 45*v**3).\nAnswer: -20640*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32788 is divided by 16000?\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/25  (b) -4  (c) 1200  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -2*w + 1. Let a(s) = -s**3 + 15*s**2 + s - 9. Let o be a(15). Let k = o + -8. What is b(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**5\/2 - r**4 + r**2 - r\/2.\nAnswer: r*(r - 1)**3*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) -2  (b) -1\/5  (c) 1\/7  (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (122*k**2 - 24*k**2 + 79*k**2)*(4*k - 4*k + 4*k)*(k**2 - k**2 + k**2).\nAnswer: 708*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = -2*b - 3*z, -5*b + 29*z = 25*z - 104. Solve b*x - 20*x = -20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (57\/(-228))\/((-3)\/(-12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*a**2 + 0*a**2 - 9*a**2)*(-3 + 1 + 0)*(22 - 6 + 5).\nAnswer: 252*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n\/((n*(n*n**(-2\/67))\/n*n)\/n)*n**(-1\/29) assuming n is positive.\nAnswer: n**(-9\/1943)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttqqjqqttqtqq. What is prob of picking 1 j and 3 q?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the third derivative of -91*w**4\/24 - w**3\/6 - 2*w**2. Let g be d(1). What is the common denominator of -53\/14 and 1 - g\/(-88)*3?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22 - 12 - (2 + 0) - (66 - -6 - 1)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 27517 = 5*f, -22*f + 27541 = 2*k - 25*f. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -3*s - 25. Let q(y) be the third derivative of -y**4\/24 - y**3 - 3*y**2. Let l(w) = -2*c(w) + 9*q(w). Determine l(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*a + 9*a = -13*a + 2*a - 3312 for a.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qb when two letters picked without replacement from ibiiuibixqqiqxqjq?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-nine thirds of a century?\nAnswer: 11600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.534 - -2.214. Let v = s - 1.98. Which is the closest to -0.1?  (a) -2\/3  (b) 7  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.1 times 12786?\nAnswer: 77994.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1163094 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -7438185, -7438181, -7438177?\n\"Answer: 4*q - 7438189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9956 = -539*r + 408*r. What is the remainder when 178 is divided by r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 16*j**2 + 24*j + 9.\nAnswer: (4*j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, -5, -21, -2, 25, 3 in decreasing order.\nAnswer: 25, 3, -2, -5, -11, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -59.3 + 58.3. Which is the biggest value?  (a) 1  (b) 0.1  (c) y  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14786 is divided by 4899?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6360, -0.1, 1, -5.\nAnswer: -6360, -5, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10288067, -10288070, -10288073, -10288076?\nAnswer: -10288079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 + 2. Suppose 5*a = -2*d + 30, -a + i*d + 7 = -2*a. Does 6 divide 612\/14 - a\/(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3b (base 14) to base 9.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of i**4 + 3933346*i**3*q**2 - 2*i*q**2 + 5*i*q + 2*q**2 + 122919*q + 4 wrt i?\nAnswer: 12*i**2 + 23600076*i*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1426414441?\nAnswer: 79, 18055879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 21 - 16. Let r(m) = 2*m**2 + 4*m - 7. Let l be r(-5). Suppose -4*t + f*z + 80 = 0, -4*t + l = 4*z - 21. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 63*v**2 - 63*v. Let u(z) = -16*z**2 + 16*z. Let l(w) = -4*q(w) - 15*u(w). Find the second derivative of l(a) wrt a.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 4118 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1245410 (base 6) to base 13\nAnswer: -25308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -13 + (45 - -2 - 44)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h - 2*k = -5*k, 2*h = -2*k for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 41955 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*b**4 + 2*b**4 - 3*b**4 + (b**4 + 5*b**4 - 4*b**4)*(4 + 0 - 5) + (2*b + 1 - 1)*(-2*b**3 + b**3 - b**3).\nAnswer: -7*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*c = 6 + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (18\/(-4))\/(-13 + (-1285)\/(-100)). Solve 68*a = 74*a + i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 17 = -z. Is (-1171)\/(68\/z + -6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -39 - (-32 + -1 - -8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1499?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w - 8*l = 415528 - 415429, -63 = 3*w + 5*l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 13 + -341042012?\nAnswer: -341041444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1095, 677, -9, -957, -2161, -3615, -5313, -7249?\nAnswer: -9417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 0 + 5 = 0. Which is the smallest value?  (a) 7  (b) p  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1045 is divided by 504?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (1*sqrt(468)*-1 - sqrt(468)) - ((2*sqrt(468)*-1 - sqrt(468)) + 5))**2.\nAnswer: -120*sqrt(13) + 568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 3*u**2 + 48*u + 4. Let s be p(-16). Let h(t) = -t**3 - 5*t**3 + t**3 + 8*t**2 + 1 + s*t**3 - 9*t. Calculate h(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -17*c + 9 + 14*c - 9. Let p(h) be the first derivative of -h**2\/2 - 2. Determine 4*g(i) - 10*p(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 84.87311ml to litres.\nAnswer: 0.08487311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -203 + 584 - 194 + 29*w + 47*w - 195.\nAnswer: 76*w - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 177455164?\nAnswer: 2, 44363791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from {p: 3, h: 1, m: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1888.95 rounded to the nearest ten?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**5 + 3*t**3 + 2*t**2. Let m(z) = 4*z**5 + z**4 - 16*z**3 - 11*z**2. Let k(b) = 2*m(b) + 11*u(b). Factor k(i).\nAnswer: -i**3*(i - 1)*(3*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 384636*x - 13846889. Give z(36).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -52 by 9.\nAnswer: -52\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -4*p + 48. What is j(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/1092 and 111\/728?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**2\/7 + d\/7 - 2\/7.\nAnswer: (d - 1)*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1582 + 210 = -107*s + 508 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rro when three letters picked without replacement from {r: 9, o: 5}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 71 by 19.\nAnswer: 71\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 9, u: 2}. Give prob of picking 3 o and 1 u.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -36555825 + 6232446\nAnswer: -30323379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 22705551*b**6 - 423*b**2 + 25*b + 253 wrt b?\nAnswer: 2724666120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-595)\/(-20))\/(2\/(-8))*-163?\nAnswer: 7, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 0 - -164056515?\nAnswer: 164056515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 18 = -3*c - 0*c, -3*g + 24 = 5*c. Let b = -5 - -5. Solve 3*p - 2*p - g = b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*g + 43*g = -2898. Let a = g - 373. What is the remainder when 114 is divided by a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -0.9, 2\/7, -8, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:26 AM and 10:07 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2 + -1 - (-1)\/(1\/2). Solve p*t - 4 = -3*y - 25, y = 5*t + 23 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -22346*a**4 + 780 wrt a?\nAnswer: -89384*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + z**2 + 2*z - 2*z + (-95*z + 15*z + 8*z)*(z + 0*z + z) + 0*z**2 + z**2 + z**2 - z + z + 7*z**2 to the form o*z + v + q*z**2 and give q.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a + 12*m + 98 = -3*a, 5*a + 651*m - 70 = 656*m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1520\/(-35))\/(-16))\/((-1)\/7).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 9*k**2 + 589*k - 6462. What is m(-75)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15675845 to the nearest integer?\nAnswer: 3959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1047383 is divided by 685.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 2*l = 26. Calculate the remainder when (28\/(-8) - -4)*254 is divided by l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6\/5, -5, -3, 1\/3 in descending order.\nAnswer: 1\/3, -6\/5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 503098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17 - -17. Suppose 3 = x - 5*v - m*v, -5*v + 29 = 3*x. What is the remainder when x is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 21 + 13 - 78 + 23 + 19 - b. Let d(j) = -19*j + 3 + 22*j + 2 - 1. What is 4*d(x) + 7*p(x)?\nAnswer: 5*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 87439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 5*q + 24 = 0, 3*q - 8 = -b - 0*q. Suppose 29 - 5 = 3*k. What is the lowest common multiple of b and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -21*d - 6. Let t(g) = -13*g - 4. Let z(l) = -5*s(l) + 8*t(l). Give z(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/(-16))\/((-36)\/80)*-9.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2.984 - 2.986666. Round a to 4 decimal places.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 501563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (7*1)\/(5 - 4). Let v = -2 + f. Suppose v*q - 2 = -4*d + 36, -2*d + 22 = 3*q. Solve -2*i + 6 = 2*z, -5*z - q*i + 9 = -4*i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((7260\/297)\/(-55))\/(130\/(-15)*5).\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/523584 and -77\/3330?\nAnswer: 96863040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 51953 - -16.9.\nAnswer: 51969.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the first derivative of 2*h**3\/3 - 177*h**2\/2 + 2193*h - 4486. Differentiate n(r) with respect to r.\nAnswer: 4*r - 177","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3863.329399 + 0.029399. What is d rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the second derivative of -5*g**4\/4 - g**3 + 11*g**2\/2 - 4*g - 1. Let s(w) = -3*w**2 - w + 2. Determine -2*a(v) + 11*s(v).\nAnswer: -3*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve l - 9 - 6 = -3*h, 2*l = -2*h + 14 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1700581, 3401158, 5101735, 6802312, 8502889?\nAnswer: 10203466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 9\/2  (b) -0.5  (c) 0.4  (d) 2.7  (e) 5  (f) -100\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 88.4  (b) 3\/2  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -105764778 by 11751642.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -4*y. Let d(w) be the second derivative of w**3\/3 - 7*w. Give d(s(q)).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 303 + 106. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11123.\nAnswer: 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, u: 2, e: 4, v: 7}. What is prob of picking 1 n and 2 e?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8438\/5 - -1688. Sort q, -38, 4.\nAnswer: -38, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39374?\nAnswer: 2, 19687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -7*6\/7*-1. Is -1 - 448\/3*t\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3\/(-2))\/(2\/(-12)). Let g be (-2)\/t + (-38)\/(-9). Let v be (410\/3)\/(g\/24). Round v to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 4*o - 21. Suppose 0 = v - 3*u + 12 - 3, 0 = 5*v + 2*u - o. Solve v*x = -x + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-7))**(-35))**(-5) assuming f is positive.\nAnswer: f**(-1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 5 = 1. Suppose d = 2*x - 7. Calculate the greatest common factor of x and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:29 AM and 6:10 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 1 q, and 2 f when four letters picked without replacement from fxfrqxvk.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 0.3, -5, 3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gqqqgqqqvsggqsqv. Give prob of picking 1 s and 1 q.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a + 0*a - 2*a)*(-5 + 3 + 1) + 3 - 3 + 2*a + 2 + a + 0*a + 3.\nAnswer: 5*a + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:31 PM and 10:19 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -375*v**2 - 27*v + 10. Let q(l) = -125*l**2 - 10*l + 3. Give 4*h(s) - 11*q(s).\nAnswer: -125*s**2 + 2*s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 k, and 1 e when three letters picked without replacement from {k: 1, e: 1, h: 1, v: 1, i: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**2 + 4*s - 2*s + 3 - s + s. Let f be c(-1). Factor -10\/9*u + 2\/3*u**f + 2\/9*u**3 - 2\/9*u**4 + 4\/9.\nAnswer: -2*(u - 1)**3*(u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -131*n = -653 - 3439 - 1279 for n.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the second derivative of -r**4\/72 + 2221*r**3\/18 - 4932841*r**2\/12 + 6284*r. Find n, given that s(n) = 0.\nAnswer: 2221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * -0.703\nAnswer: -0.0703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-464)\/(-7) + (-4)\/14. Let c(v) = -v**3 - 10*v**2 - 23*v + 10. Let z = 142 - 146. Let x be c(z). What is the highest common factor of x and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3090 is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 + -3. Let b be (14\/x)\/((-2)\/6). Suppose -3*a = -k - 23, -b*k = -2*k - 20. Calculate the remainder when 16 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, v: 1, h: 2, j: 2, c: 2}. What is prob of picking 1 c and 2 j?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11.92 + 0.08. Let s = -5 - x. Let r = -16.99999872 - s. What is r rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2547084*-0.259.\nAnswer: 659694.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*p + 0*p + p - p + 0*p + 0*p + (5*p - 4*p - 3*p)*(2 - 2 + 2))*(63*p - 47*p**2 + 135*p**2 - 62*p) to the form q + t*p + c*p**3 + m*p**2 and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 45\/27 - 93*(-4)\/36 and 4244.\nAnswer: 12732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -567*f**3 + 1557?\nAnswer: -1701*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 546 and 546?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-2 + sqrt(147) - -1*-2*sqrt(3)).\nAnswer: -10*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 + 1 = -3*h + 3*w, -1171*h - 4*w = -1167*h + 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 604 - 319 = 4*w, 0 = -2*d + 4*w + 362. Let z = -141 + d. Do z and 46 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6\/665 - -683\/1995. Let z(w) be the first derivative of u*w**3 - 14 + w + w**2. Factor z(l).\nAnswer: (l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(27) + 0 + (sqrt(27)\/sqrt(36))**2.\nAnswer: 3\/4 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55387977?\nAnswer: 3, 829, 22271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 500687\/15 + -33391. Let v = -12 - k. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -20*j + 12. Let y(s) = -7*s + 4. Let n(x) = -17*y(x) + 6*z(x). Let i be n(4). Solve 0 = 5*l - i - 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r - 3*r + 4*r)*(4 - 2*r + 0 - 5)*(2 - 4 + 4).\nAnswer: 4*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*j**2 + 42*j - 42*j + (0*j**2 + 2*j**2 + j**2)*(-1 - 1 + 1).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(26) - ((-1*sqrt(182) - sqrt(182)) + sqrt(182))\/sqrt(7))\/sqrt(2).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5470*z**3 + 2733*z**3 + 2735*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:16 PM and 9:43 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.010248 to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the third derivative of -1\/30*d**4 + 0*d**3 + 0*d + 0 + 5*d**2 - 1\/150*d**5. Let q(n) = 0. What is n?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -282.3*0.023.\nAnswer: -6.4929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1294*q - 21349 + 3937 - 17526 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -271.9 - -296. Let n = q + -24. Let t = -2 + 6. What is the closest to -1 in 2, n, t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**2 - 147*k - 753. Give l(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 2 = -6. Suppose -40 = 8*q - d*q. Which is the second smallest value?  (a) -1  (b) 0.2  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 148 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**2 + 3*o. Let t = 19 - 19. Let i(d) be the second derivative of 1\/3*d**3 + 0*d**2 + d + t. What is 3*i(c) - 2*m(c)?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -616*a + 192 = -584*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 390*h - 785*h - 22*h**3 + 395*h - 2352.\nAnswer: -22*h**3 - 2352","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -119 and -499.\nAnswer: 59381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*z + z + 31*z + 11*z to m + x*z and give x.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 466300577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b**2 - 7*b - 6. Let q be y(-4). Suppose -n = -3*n. Solve n*w - q = -2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*s = 5*s + 108. Is 3 a factor of 1\/(4\/(-1416)*s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:35 PM and 1:22 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-35 + k**2 + 35)*(-5*k + 8 - 8)*(8 - 8 - 7)*(2 + 0 - 3)*(-3 + 3 - 3)*(0 - 4 + 2) in the form i*k + o + h*k**2 + a*k**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -2*s. Let k(a) = 6689*a**2. Determine z(k(f)).\nAnswer: -13378*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15840?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37057?\nAnswer: 37057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 601 + 602 - 1804 + 3463*i**2 + 601 to the form l + d*i + c*i**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 21272\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 155 + 85 = 12*z. Suppose -31*s + z*s = 0. Solve 3*h + s*h - 7*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 133\/45707420 and 63\/530.\nAnswer: 2422493260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -33156350*i**4 - 50416348?\nAnswer: -132625400*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (2\/4)\/((-728)\/28*15\/(-24))\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k**2 + 2*k**2 + k**2)*(7*k - 2*k - 2*k)*(-3*k**2 + 5*k**2 - 4*k**2).\nAnswer: -6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 10*v - 2. Let z(r) = 4*r - 2. Let k(x) = 5*x - 3. Suppose -272 = -c - 269. Let j(d) = c*k(d) - 5*z(d). Calculate 2*h(l) + 5*j(l).\nAnswer: -5*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (285\/114)\/(2\/8 + 0). Let d be 774\/(-90) + 8 + 96\/y. Solve -20 = d*u + 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35239 - 3903 = -2*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -2\/9 and -1339 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.112 + -2.1. Let i = 4.012 - y. Sort i, 2\/7, 1, -2.\nAnswer: -2, 2\/7, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*u**3 + 16*u**2 + 196*u - 784.\nAnswer: -4*(u - 7)*(u - 4)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 155668 = 6*d. Let p = d - -109083. Suppose a + p = -a. Round a to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = m - 1. Let a(r) = r**2 + r - 1. Let x be a(m). Let z be x*3\/(-3)*4. Solve 0*c = g - 2*c - 6, -5*g = -z*c - 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - (17 - 8)) + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve l**5\/3 + 224*l**4\/3 - 876*l**3 - 10094*l**2\/3 + 2627*l\/3 + 3290 = 0 for l.\nAnswer: -235, -3, -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add -2244 and -137111.\nAnswer: -139355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -375 - 592. Suppose 0 = h - 1, 105 = -4*k - 4*h + 5773. Let q = v + k. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 83752?\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 288 and 4896.\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2 - (-402)\/9)*36\/(-10). Find the common denominator of -47\/63 and 12\/28 + (-1468)\/b.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 72 + -42. Let z be 22\/s + 17\/3 + -6. Let g = -7 + 2. Which is the fourth biggest value?  (a) 0.5  (b) z  (c) 0  (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1969\/55)\/((2\/(-10))\/(-1)). Let j = -107 + d. What is the remainder when j is divided by (38\/(-5))\/(1\/(-5))?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -h**2*y**4 - 26*h**2*y - 3*h - 3*y**5 + 127*y**2 wrt y?\nAnswer: -12*h**2*y**2 - 60*y**3 + 254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -4*g**3 - 20*g**2 - 23*g - 60. Let k(i) = i**3 + 5*i**2 + 6*i + 15. Let b(s) = -9*k(s) - 2*n(s). What is the remainder when b(-5) is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2140 and 4280?\nAnswer: 4280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 3*d**2 - 3*d + 8. Let x(c) = -c**2 + 2*c - 4. Let f(i) = 3*b(i) + 5*x(i). Let h(u) = 6*u**2 + 2*u + 6. What is 8*f(z) - 5*h(z)?\nAnswer: 2*z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/(-1))\/(-10)*(-7 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 2.132  (b) -5  (c) -1\/138\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 537110 and -3.\nAnswer: -1611330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34 = 5*o - 19 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -195*q + 8365450 = -1283930. Is q a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 - 1*(-40)\/15. What is the third biggest value in q, 2\/11, 2\/5, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xuuxrrxxuurrruuururr. What is prob of sequence ruxu?\nAnswer: 224\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28108915?\nAnswer: 5, 647, 8689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7.92 - 7.93. Let k(d) = 7*d + 31. Let n be k(-4). What is the third biggest value in z, n, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**3 - b**2. Let p(c) = c + 7. Let t = 41 + -49. Let g be p(t). Calculate u(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 6 = -d. Suppose -r + d*m + 22 = 2*r, 0 = 4*r - 3*m - 20. Is 16\/13 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = 2*i - 7*i + 71, -3*f + 5*i = -69. Calculate the greatest common factor of f and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + -6 + -2 + 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 24\/9 - -1 - 12\/(-9). Suppose -2*f + a = 2*f - 393, -183 = -2*f + k*a. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48260.32 litres in millilitres?\nAnswer: 48260320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 2*q = -199054, -5*u + 4*q + 4624 + 244148 = 0. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14840*q = 14851*q + 88 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-114)\/(-2)*52*13\/2028\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3035576 to the power of 1\/2, to the nearest integer?\nAnswer: 1742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 1045*l + 8. Suppose 0 = -2*r - 7 + 33. Suppose 5*a - y - 4*y - 25 = 0, -y + r = 5*a. Is u(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2015 and 83252?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -18*h**2 + 12*h - 11. Suppose 3*k + 15 = 3*y, -14*k + 8 = -18*k + 2*y. Give s(k).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/(-25))\/((-24)\/20).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 44*3\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2287 is divided by 58?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*a**3*n + 5*a**3 + 21*a*n - 2*a wrt a?\nAnswer: -48*a*n + 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 + 10. Let n = -9 + l. Let f be (-11)\/33 + 10\/n. Do f and -2 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**3\/11 + 94*o**2\/11 + 194*o\/11 + 98\/11.\nAnswer: -2*(o - 49)*(o + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -21013023 (base 4) to base 14\nAnswer: -d85d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the first derivative of -w**3\/3 + w**2 - 353. Determine n(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 3943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 44\/5 of a meter?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 14 and 1967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(2\/11)\/(a*a**(-18)) assuming a is positive.\nAnswer: a**(189\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from awtau. What is prob of picking 2 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3389?\nAnswer: 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15237 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3019379 is divided by 490?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/20*((-20)\/104)\/((-145)\/696).\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 5*a = -34. Suppose -2*d - 2*n + 282 = -58, 0 = 4*d - n - 675. Suppose d = 5*t - 506. What is the remainder when t is divided by a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 4*i - 9 = 0. Suppose -b = -4, -2*o - 5*b + 12 = -4*b. Does 10 divide (1 + i)\/(o\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 3*q - 1. Let j be n(1). Let v be 8 + -6 - (1 - j). Suppose 5*r = -h + 20, 21 = -5*h + v*r + 149. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/3  (b) 2  (c) -494  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 59 = -s, 2*v + 0*s - 25 = -s. Let b = 30 - v. Suppose -41 = -5*y - 1. Solve 2*m = 2 - y, -x - b = 5*m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 divided by 471?\nAnswer: 170\/471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 185 = 7*x + 122 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9639 is divided by 567?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 0.036, -3, -59, 2, -39 in ascending order.\nAnswer: -59, -39, -3, 0.036, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 32\/(-56)*(-6 - 1). Let i = -2.089 + 0.089. Which is the second smallest value?  (a) i  (b) y  (c) -2\/13  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 8*i - 4 = 4*i, -3*m = 3*i - 3. Suppose m = -t + 281 - 223. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -62*w**3 + 7*w**2 + 10*w - 1001. Let d(y) = -21*y**3 + 2*y**2 + 3*y - 333. Let l(v) = -7*d(v) + 2*t(v). What is the first derivative of l(r) wrt r?\nAnswer: 69*r**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 2*u**2 + 46*u - 7. Let m(y) = 3*y**3 - 2*y**2 - 7*y - 2. Let k be m(-2). Let f be g(k). Let h = f - -63. What is h rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 113 divide 1417698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the third derivative of -77*j**5\/60 + 18*j**2. Let i(c) be the second derivative of -3*c**4\/4 - 3*c - 26. Give 42*i(s) - 5*x(s).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 4*z + 12. What is d(8)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.4098000613 + -0.4098. What is p rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 16\/(-6)*27\/(-18). Solve -6*p - 28 = -w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaad when four letters picked without replacement from nacaiaadanpdcac?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 4, -14818, -3, 9, 2 in descending order.\nAnswer: 9, 4, 2, -3, -5, -14818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**2 + 5*k + 10. Let a be g(-4). Suppose -5*h - 3*p - 13 = 0, a = -4*h - p + 3*p. Is 2280\/48*(0\/h - -2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -52\/466485 and 38\/4767.\nAnswer: 3265395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 6 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6\/77207305 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 2*r**4\/3 + 340*r**3\/3 = 0.\nAnswer: -170, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 412 + -407. Let x be ((-92)\/18)\/(-2)*-6. Let d = -15 - x. What is the second smallest value in 0, d, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 - 110012?\nAnswer: -110013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/6800 and -79\/65824.\nAnswer: 1645600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2348*q**3 - 788*q**3 - 1204*q**3.\nAnswer: 356*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 561675997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.7666 - -15.2334. Which is the nearest to n?  (a) 3  (b) 16\/21  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the first derivative of x**4 - 16*x**3 + 96*x**2 - 256*x + 8. Factor y(q).\nAnswer: 4*(q - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 39 + -37. Suppose 4*a = s*a - 3*a. Let o(v) = -v + 3. Let w be o(2). Put a, w, -4 in increasing order.\nAnswer: -4, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(-5))\/((-18)\/(-90))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (957\/(-87))\/(((-132)\/11)\/48)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n + 7. Let t be b(-5). Let l be 28\/(-56) + 7\/t. Let g(u) = -u + 4. Calculate g(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 - 1 - (-41 + (54 - 26))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 38528 and 770.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -3*v**3 - 11*v**2 + 4*v - 7. Give m(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -6, -2, 6, 0, 6554 in descending order.\nAnswer: 6554, 6, 4, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 5943 = -12*a + 9*a, -5*a + 9905 = j. Suppose 7*f - a = 938. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*(d\/d**2)\/d*d)**37*d\/d**(3\/4)*d*d**(5\/3)*(d\/(d\/d**2))**(2\/13)*(d*d\/d**3*d)\/d*d**2 assuming d is positive.\nAnswer: d**(659\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:20 AM and 6:48 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1 - -1)\/(4 - 2). Suppose 11*r = -2*r + 377. List the prime factors of r - ((g - 4) + 4).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -572*z - 4 - 2 + 8 + 7.\nAnswer: -572*z + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 5384 divided by -3?\nAnswer: -5384\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**2. Let u(x) be the third derivative of 7*x**5\/15 - 11*x**2. Calculate u(a(s)).\nAnswer: 28*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 3*i + 1)*(837*i - 1249*i - 575*i) as f*i**2 + z*i + h and give f.\nAnswer: -2961","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1539)*-2*-3 + (sqrt(304)*1 - sqrt(304))**2 + -5.\nAnswer: -5 + 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.4283 plus 319.232?\nAnswer: 327.6603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 320671 and 93.\nAnswer: 29822403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86*j - 91*j + 6498 = 2*b, 4*b - 13032 = -4*j. Calculate the remainder when b is divided by 233.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((1 + 2 - 1)*(5 - 2 - 4) + 0 + 1 + 2 - 3 + 1 - 1)*(39*h**3 + 7 - 7) to the form i + s*h**2 + c*h + l*h**3 and give l.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4.867 + 0.133. Which is the nearest to 1\/4?  (a) 0.1  (b) u  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0\/((-3 - 3) + 1). Suppose 5*k = p + 25, 2*p + 3*p + 5 = k. Suppose k*g - 2353 - 202 = q. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6.426, 0.5, -5\/3 in descending order.\nAnswer: 6.426, 0.5, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*((-1)\/2*(-5476)\/(-111))\/(-4).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -3*m**3 + 3*m**2 + 4*m + 1. Let f be b(-2). Suppose 0 = 7*n - 2*n - 100. Solve 4*x - 5*g + n = -12, 3*x - 5*g + f = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6)\/5*170\/(-68). Solve -5*q = -3*h, 0 = o*q - q + 2*h + 16 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7612108769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (150\/(-1225))\/(38\/133*2).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0 - (-266)\/10 - 15\/25. Let b(z) = -8*z + 2. Let d be b(-3). Let l = p - d. Solve -3*k + 3 = -l*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 23.52596um?\nAnswer: 0.00002352596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 1 + 1)*(-142*b - 153*b + 45*b + 22*b) in the form l*b + g and give l.\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11 + 11.02. Put -0.5, y, -1\/6 in decreasing order.\nAnswer: y, -1\/6, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**3 - u**2 - u. Let b(p) = 3*p + 12. Let d be b(-9). Let x(k) = -21*k**3 + 15*k**2 + 15*k. Give d*c(v) - x(v).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2 + (-11)\/26 + 4\/(-8). Which is smaller: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2933 and 28?\nAnswer: 11732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-216)\/180)\/(6\/(-50)). Let x(u) = -3*u + 3. Let v be x(2). Let r be (-42)\/v + 1 + -4. Which is greater: r or p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the first derivative of s**2 - 9*s + 7. What is d(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7 + -8. Let w be d*8\/(-6)*1. Solve -4*o = o - w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1089618923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes before 11:50 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(-33))\/a**13 assuming a is positive.\nAnswer: a**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 351 (base 6) to base 3\nAnswer: 12011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 2 + 63*f - 272*f to the form u + t*f and give t.\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k**5\/7 + 1300*k**4\/7 - 142916*k**3\/7 + 5538620*k**2\/7 - 3543000*k + 2772000 = 0. Calculate k.\nAnswer: 1, 4, 105, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 90\/((-198)\/22)*4\/(-10). Solve -5*z - u = -4*c, 18*c = -z + 16*c - 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 923036000 rounded to the nearest 1000000?\nAnswer: 923000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-37584)\/435)\/(-16))\/((-7)\/5).\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**2 + q + 1. Let t(z) = 4*z**2 + 259*z + 2 - 517*z + 259*z. What is 2*c(a) - t(a)?\nAnswer: -6*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8331336 (base 9) to base 3.\nAnswer: -22101001101020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -681 (base 10) to base 9\nAnswer: -836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/28115 and 79\/2865.\nAnswer: 16109895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 3*y + 5*k, -y + k = 2 - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -2*m**2 - m - 5. Let o be (-1)\/((-15)\/18*60\/150). Let c be (-2)\/(-3) + 10\/3. Let u(g) = 2*g**2 + g + 4. Calculate c*u(p) + o*d(p).\nAnswer: 2*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12989 - -920. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -q**6 + 37*q**2 - 1886*q**5 + 12*q**4 + 7*q**6 + 1886*q**5 wrt q.\nAnswer: 720*q**3 + 288*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (158*m + 16 - 16 + 5 - 5)*(-1 - 1 - 1).\nAnswer: -474*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.98938 to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + 1)*(-4 + 6 - 1)*(-431*q + 3*q - 108*q).\nAnswer: -536*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 26\/9, 2\/5, -137\/97 in decreasing order.\nAnswer: 26\/9, 2\/5, -137\/97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -2*v - 1. Solve 0 = -8*r + v*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 51259950 and 6300.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1014 = 114*z - 1266 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 4  (b) -0.4  (c) 2346  (d) -3\/4  (e) 8\/7  (f) -1  (g) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 3403, -0.2, 5, 4 in decreasing order.\nAnswer: 3403, 5, 4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**2 + m. Let x(i) = -2*i**2 + 3*i. Let r = -25522 - -25518. What is r*x(f) + 9*v(f)?\nAnswer: -f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.03811193199 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 5*o + 201 = 0, n - 3*n + 171 = 5*o. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 64 - 128?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 - (-7 - -3) - ((-8)\/6)\/((-868)\/(-6510)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -251 + 84 + 84 - 16*b**2 + 83.\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 41467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 29993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 61*h - 10638. What is k(176)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 98590041 a multiple of 727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u**3 - u**3 + 5*u**3)*(3*u + 12*u - 6*u).\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ynssstsgsnsissi. Give prob of picking 2 n, 1 g, and 1 y.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1274 is divided by 189.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*b - 1678118 + 111772 = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1102 - 1701 + 300)*(3*q + 2*q + 0*q).\nAnswer: -12515*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 272111 divided by 2\nAnswer: 272111\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the third derivative of i**6\/120 + i**5\/12 - 7*i**4\/24 + 7*i**3\/6 - 2*i**2. Let f be c(-6). Let m = 29 - f. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**3 - 5*g**2 - 2*g + 14. Let r be q(5). Which is the closest to 0?  (a) r  (b) 11  (c) -0.2  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 291047461 to the power of 1\/3, to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 4*i = -2*x + 10, -3*x - 6 = 4*i. Suppose 0 = -v + 2*h + 3192, 3*v - x*v + h = 3189. Round v to the nearest one hundred.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -2*d**3 + 67*d**2 + 33*d + 36. Let s be o(34). Let h(w) = -10241 + s*w + 10241. Let a(x) = -16*x + 1. What is h(a(m))?\nAnswer: -32*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2321353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -964, -1431, -1418, -925, 48, 1501?\n\"Answer: 240*g**2 - 1187*g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 285708 and 30972?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 18 and 9885951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the first derivative of 4*t**3\/3 - 3*t**2\/4 - t\/4 - 182. Factor z(s).\nAnswer: (2*s - 1)*(8*s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 0 + 17 - 5*t + 3.\nAnswer: -5*t + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u - 5. Let w(s) = s**2 - 3*s - 2. Let t be w(4). Let v(c) = 3*c**2 - 3*c. Let m be v(t). What is the units digit of z(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 16\/1275 - -2438\/8925. What is the second biggest value in -0.01, 51, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -150.35846 rounded to two dps?\nAnswer: -150.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14 - -9. Which is the nearest to -1?  (a) s  (b) -3  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence edx when three letters picked without replacement from sdaysyxeyxyxsss.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange r**2 - 194*r**3 + 4*r - 8*r + 189*r**3 + 4*r to a*r**2 + u*r + y + v*r**3 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-62 + 28 + 61)*(-j + 0*j - 2*j)*(0 - 2 - 2)*(0*j - 2*j + j).\nAnswer: -324*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 23 - 46*w**2 - w - 2*w**3 + 117*w**2 - 4*w + 4*w**4 - 72*w**2 to the form h*w**4 + m*w**2 + b*w**3 + o*w + p and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 340032 is divided by 4144.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 12042 + 23?\nAnswer: 12120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h - 6*h + 2*h)*(-7*h**2 + 4 - 4)*(-h - 3*h + 0*h).\nAnswer: -56*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (900\/252)\/(((-42)\/49 - 4) + 5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**3 - 2*v**2 + v + 12. Let f = 32 - 28. Let m be -1 + f\/(2 - -2). Let n be s(m). Is n greater than or equal to 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - 2 - 4*4\/(-56).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 98?\nAnswer: -5\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1 and 18415.63525?\nAnswer: 18416.63525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 888?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, e: 5, d: 1, z: 1, y: 1}. Give prob of picking 1 y and 1 e.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o = 2*r, -3*r - 9 = 5*o - 25 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3 - 1 - (-3)\/(-3). Let x be (i + -1)\/(5 + -3). Suppose x = -3*o - 3 - 0. Let f(j) = -2*j**3 + 2*j**2 + j. Calculate f(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2 - (-2)\/(-3) - (-20)\/(-15). Which is bigger: -62 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = 3*v - 6, 3*d - 2*d = 2*v - 4. Suppose 0 = -d*h + 3*h - 12. Solve -2*u = -h*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-128 - -110) + -4 + (-1 - -6) + 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, l: 4, e: 2}. What is prob of picking 2 l and 1 p?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 2*t = 2, t + 5 = -4*h + 6*t. Suppose 4*k = 3*d + 726, 2*k + 18*d = 22*d + 368. Suppose h = -15*q + 5*q + k. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -3*l + 5*l + 4*q, 3*l - 4*q = 48. Let t(v) = v - 3. Calculate the remainder when t(l) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 119029 is divided by 2717.\nAnswer: 2198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 1)*(3 - 1 + 4)*(-22*z + 92*z - 3*z).\nAnswer: -402*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 40695\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -132, -39, 162, 513, 1056?\n\"Answer: 7*u**3 + 12*u**2 + 8*u - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3330, -108, -1174 in increasing order.\nAnswer: -1174, -108, 3330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 10113 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -49*u + 38*u + 25036. List the prime factors of u.\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-8)\/12*(-258)\/4. Suppose -3*i = -h - 20. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 50595500 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 72\/(-1710)*20*8\/16?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 30 - 26. Calculate the highest common divisor of 20 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 453 - 1 - (2 - (-2 + 2)). Suppose -4*b - 2*k + 390 = 0, -5*b + m = -8*k + 3*k. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -2*c**5\/7 - 6582*c**4\/7 - 6001200*c**3\/7 - 938125152*c**2\/7 - 2760542208*c\/7 = 0?\nAnswer: -1548, -192, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of z**4 + 25*z**4 + 4*z**2 - 7*z**4 + 15*z**2 wrt z?\nAnswer: 456*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-16)\/3 - (-48 - -43))*(-151 + 115)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 57 + -58. Sort -1\/5, -2\/13, -3, b in descending order.\nAnswer: -2\/13, -1\/5, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, -3, 0, 0.057 in ascending order.\nAnswer: -3, -2\/7, 0, 0.057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 5.6 * -2\nAnswer: -11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1*1\/(-3)*0. Suppose x = -c + 1 - 1. Solve -2*u + c*u + 10 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 16\/39 and 23\/39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1057\/7270 - 33\/727. Let r = -0.3 + -0.7. Let x = 2\/5 + -16\/15. What is the second smallest value in 0.3, r, x, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19691 less than 14113.3?\nAnswer: 33804.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 7 = 3*a + 42, -3*l = 5*a + 40. Let k(r) = r**3 + 5*r**2 - 7*r - 5. Let n be k(a). Calculate the greatest common divisor of n and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/3 - 7\/(-3). Let p = b + 2. Let w(v) = v**2 + 6*v + 7. Let y be w(-5). Sort y, -5, p.\nAnswer: -5, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.194 - 0.206. Let l = -1.3 + 4.3. Which is bigger: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/9, 40\/17, -2, 3 in decreasing order.\nAnswer: 3, 40\/17, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -779.98389577 - 37.\nAnswer: -816.98389577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3207 times -0.4?\nAnswer: 0.12828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 152 is divided by 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(162) + 0 + sqrt(162) + 5)**2.\nAnswer: 180*sqrt(2) + 673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 156815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(76) + sqrt(152)\/(sqrt(8)*-4).\nAnswer: 3 + 7*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -2*y**2 - 10*y. Let k(d) = 2*d**2 + 11*d. Let p(z) = 3*k(z) + 4*m(z). Let n(g) = -g**2 - 4*g. Give -5*n(s) + 3*p(s).\nAnswer: -s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1028 = 6*f - 1016 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*j = -6*s + 32*j + 172, -s + 2*j = -32 for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 60 - 57. Suppose -4 = -d - r*t, d + 16 = 5*d - t. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.1 - -3.34. Let s = 0.27 - w. Is 0 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 2*l**2 + 46*l - 1742. What is the lowest common multiple of f(25) and 112?\nAnswer: 5264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 470\/3 - 156. Which is the second smallest value?  (a) -100  (b) y  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**2 + 8*l - 5. Suppose 3*s = 3*i + 27, 0*i - 2*i = -3*s + 25. What is x(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3666660 and 8855?\nAnswer: 282332820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -412949\/45 - -9175. Find the common denominator of q and 40\/51.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 159*y**6 + y**2 - 6.\nAnswer: 19080*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:34 AM and 2:31 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -6, 2, -2\/2862581?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**3 + 2*b**2 - 3*b + 1. Let p be d(2). Let q(a) = -a - 10. Let t be q(p). Let z(i) = i + 10. List the prime factors of z(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**2 + 3*u + 2. Let b be f(-3). Suppose -7 - 5 = -4*i. Suppose 0 = i*r - 3. Which is smaller: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2644 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (477 + 79 + 58)*(-v + v - 2*v**3) as r + u*v**3 + j*v + z*v**2 and give u.\nAnswer: -1228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, -68, -1019, -0.3, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 480763 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 5.25  (b) -5  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 - 30653814633604\nAnswer: -30653814633603.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -74 + (0 - (-4 - -4)) - (1 + 2)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, 30308, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -1 - (-8 - (-12 + 5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14436468.\nAnswer: 2, 3, 17, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-20))**(-7)\/(y\/y**(-26)*y*y**16) assuming y is positive.\nAnswer: y**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -197 - -207. What is the remainder when 19 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -4*a**2 + 3*a + 6. Let v(b) = 3*b**2 - 3*b - 5. What is -5*l(z) - 6*v(z)?\nAnswer: 2*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -4*k + 12674, -2*w - 2*w = -4*k + 12664. Suppose k + 248 = 4*c. Let s = c + -13625\/16. What is the common denominator of s and -11\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -67.49942 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 1 m when three letters picked without replacement from myjmymjmmgjjmdmj?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -8*z**2 - 671*z - 4. Let b(r) = 5*r**2 + 335*r + 2. Give 5*b(c) + 3*i(c).\nAnswer: c**2 - 338*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 19 + -20.1. Let u = -2.65 - i. Let c = 2.3 + u. Round c to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*z + 5*z + 146 = 2*r, -2*r + 3*z + 126 = 0. Let j = r - -3872. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -175*d - 5. Let x(u) = 351*u + 12. Calculate 5*s(t) + 2*x(t).\nAnswer: -173*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 310 divide 2546960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 57.58 - 57. Let i = -65.42 + 59.8. Let q = i - m. What is q rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0*((-4)\/(-2))\/(-2). Suppose r + h*r - 11 = -4*w, -3*r - 27 = -3*w. Suppose 0 = 2*p + 2 + 2 - 14. Solve -o + 2*o - 17 = w*b, p*b - 3*o = -16 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3158249383.\nAnswer: 53, 59589611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 343 and 392.\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/4 of a centimeter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 19 - 16. Let b(n) = -44*n**2 + j*n - 2*n**3 - 7*n - 8*n + 60 + 6*n**3. Let d(h) = h**2 + h - 1. Let g(w) = -b(w) - 24*d(w). Solve g(s) = 0 for s.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j = -4*i - j + 54, 0 = 4*i - 3*j - 58. Suppose 7*f - 11*f = i. Let w be 50\/12 + f + 2\/6. Is -5 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = -u + 64, -3*u - 32 = -2*f + 14. Calculate the remainder when 31 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + (-5 + 11 - 12) + 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 3*f**2 - 155*f - 675. Calculate c(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 590699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:07 AM and 6:29 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -36520250 (base 7) to base 9\nAnswer: -6126365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 17*u**2 - u + 2. Let n(r) = 820*r**2 - 5*r + 419. Let d(v) = -10*g(v) + 2*n(v). What is the derivative of d(s) wrt s?\nAnswer: 2940*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -20843*h**2 + 106059*h wrt h?\nAnswer: -41686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 668.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -15*n - 100. Let z(a) = -14*a - 80. Let s(b) = -4*u(b) + 5*z(b). Let t(p) = 10*p. Determine 7*s(q) + 6*t(q).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*p + 14*p - 11*p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -123, -125, -127?\n\"Answer: -2*n - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 + 6. Let m = t - -5. What is the highest common factor of m and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18258180 * -9\nAnswer: -164323620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 - -9. Suppose 2*j = -d*w + 1, 3 = -4*w - 1. Solve -2*l = j*q - 5*l - 1, -5*q + 5*l = -10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-3)\/2*(-71630)\/39?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(2 + sqrt(125) + -3 - (-1 + sqrt(125))*-3)**2 + -4.\nAnswer: -2020 + 160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 31194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -4*f**2 - f - 7. Let v be d(-16). Let o(p) = p**2 - 8*p + 5. Let u be o(8). Calculate the common denominator of (6\/u)\/(308\/v) and 7\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the third derivative of -1\/24*t**4 + 0 + 1\/10*t**5 + 0*t + 1\/6*t**3 + t**2. Let l be p(1). Solve 0 = -3*g + m - l*m + 10, -6 = -3*m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 18 + -13. Suppose t*u = -1 + 11. Find the first derivative of -6 + u*p**3 + 10*p + 0*p**3 - 10*p wrt p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the third derivative of f**5\/140 - 44*f**4\/7 + 15488*f**3\/7 - 491*f**2. Factor u(d).\nAnswer: 3*(d - 176)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(6\/5))**(-44)\/((x\/(x**(-11)*x))\/x**(23\/2)) assuming x is positive.\nAnswer: x**(-523\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1154, -1316, -1480, -1646, -1814, -1984?\n\"Answer: -r**2 - 159*r - 994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 3266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 99, 101, 101, 99, 95?\n\"Answer: -y**2 + 5*y + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:14 AM and 7:59 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 (base 5) in base 2?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/17 - (38528\/(-680))\/43?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 5035, 10079, 15123?\n\"Answer: 5044*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 234.2 + -234. Let i = 21 + -22.7. Sort 4, u, i in decreasing order.\nAnswer: 4, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22341182117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 + 2. Let c(r) = r + t*r + r - 3*r. Let y(x) = -3*x**2 + 3*x + 3. Let a(g) = 7*g**2 - 5*g - 5. Let w(i) = 3*a(i) + 5*y(i). Calculate w(c(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**2 - 8*l + 11. Let q(c) be the first derivative of -c**3\/3 + 11*c**2\/2 - 7*c - 2. What is the remainder when q(10) is divided by f(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -147 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 18*u**2 - 16*u**2 - 4*u - 4*u + 6*u - 4*u**3 to the form k*u**2 + d*u**3 + o*u + l and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 164*x**2 + 97*x + 223. Is u(-44) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25 - (32 + -92) - (3 - 2).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 - 47 = -2*s. Let a be (2\/3)\/(2\/s). Suppose -w - 3 + a = 0. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -43\/3 in 3\/2, -1, 2\/23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 7*u = -10. Suppose 3*l + 0*y + 4 = 4*y, 3*l + u*y = 20. Is 13\/4 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 983599423 to the nearest integer?\nAnswer: 31362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n - 24 = -1646*x + 1657*x, -2*n + 6 = -4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10 + -6. Let d = -32.23 + 32. Let t = d - -0.73. Which is the third biggest value?  (a) -2  (b) t  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 850*a - 563*a + 2.\nAnswer: 287*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vq when two letters picked without replacement from {k: 2, q: 4, v: 1, p: 3, j: 6, t: 3}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 16314186 and 13146?\nAnswer: 16314186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -7824*g**3 - 6388.\nAnswer: -23472*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * -863546.\nAnswer: 2590638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 26\/143*(0 + -1)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*l - 13*l + 78 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 247 a factor of 16091284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 81*b - 408. What is u(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 - 16. Let w = -9 - k. Let g be (-48)\/(-21) - 2\/w. Solve 4*x - 21 = 5*d, -g = x - 2*x - 2*d for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 25\/(-15)*(1 + -8 + 4). Suppose z*r = -g + 7, r + 19 = 6*r - 3*g. What is the smallest common multiple of r and 55?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 143.9015728 to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 3*b, -10*b - 19 = -3*t - 8*b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 569 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 12*l**3 - 5*l + 6. What is b(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 133*a + 132*a = 259*a + 144 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -73*i + 30912 = -1417*i for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.01 - -0.005. Let j = 0.07 - t. Round j to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*b = 5*b. Suppose -s = 2*s + 4*k - 362, 5*s - 2*k - 638 = b. Let l = s - -66. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**2 - 55*x - 163. What is c(-49)?\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 21 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 479*u**3 - 479*u**3 - 7*u**4 + 5*u wrt u?\nAnswer: -84*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 452793?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 25 + -15. Suppose -n + p = -1. Suppose l = 11 + n. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes after 8:58 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 2)*(-118 - 220 - 217)*(-3*w + 6*w + 0*w**2 - 2*w**2).\nAnswer: -2220*w**2 + 3330*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 196, 5, 3, -34, 108, 0 in ascending order.\nAnswer: -34, 0, 3, 5, 108, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qcqqgqgcgqqgqqqqgqqq. Give prob of picking 3 g and 1 q.\nAnswer: 26\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*w + 5*w - 30*w)*(-w**3 + 4*w**3 - 2*w**3).\nAnswer: -32*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m**2 - 2*m**2 - m**2)*(-128*m + 126*m + 0 + 4).\nAnswer: 8*m**3 - 16*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - -4) + 1 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-34)\/(-28) - 3*(-8)\/84\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4159922nm in kilometers?\nAnswer: 0.0000000000004159922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -18*g + 18, 3 = 370*s - 374*s - g for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -84, -7, 78, 141, 152, 81?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -76 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 217 and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4806*r**3 + 2395*r**3 - 2334*r**3.\nAnswer: -4745*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/8)\/(47\/(7708\/(-41)))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 8745044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9 and 8743?\nAnswer: 78687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the second derivative of -u**4\/12 - 2*u**2 - 4*u. Let x(w) be the first derivative of y(w). Let q(h) = h. Calculate q(x(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that 4*z**4\/5 - 148*z**3\/5 - 55912*z**2\/5 + 282112*z\/5 - 339456\/5 = 0.\nAnswer: -104, 2, 3, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the first derivative of 1\/22*n**4 + 8 + 2\/33*n**3 + 0*n**2 + 0*n. Suppose y(h) = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.01  (b) -4  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 50943 + 7685. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1611)\/(-36) + 2*3\/24. What is the hundreds digit of 7 - 325\/z - (-13396)\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*z**4 - 3*z**4 - z**4)*(9*z - z + 2*z + (0 - 2 + 0)*(0*z + 4*z - 5*z)).\nAnswer: 12*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -110220011 - 303?\nAnswer: -110220320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z**3\/4 + 12759819*z**2\/4 - 25519629*z\/4 + 12759813\/4.\nAnswer: -3*(z - 4253271)*(z - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-2\/3))**(-24)\/(g*g**(-2\/11)*g**(-2\/9)))\/(g*g**1*g*g**8*g**(-2\/7)*g**1) assuming g is positive.\nAnswer: g**(2557\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 174668416?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 261*p - 4*p + 147*p.\nAnswer: 404*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*z + 10*z - 32. Suppose -3*f = -2*d - 45, -2*d - 63 = -5*f + z. Let k(u) = 11*u + 20. Let j(c) = -4*c - 7. Determine f*j(a) + 6*k(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 76 + 8*l**2 - 76 - 5*l**2 - 14 + 14 + 2*l**2 + 0*l**2 - l**2 + (5 - l**2 - 5)*(3 - 4 - 1) - 4*l**2 + 0*l**2 + 5*l**2 - l + 2*l + 4*l**2 - 3*l**2.\nAnswer: 8*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**7\/d)\/d**(-5))**(-2) assuming d is positive.\nAnswer: d**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 43 - 32 - (1 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pppdzppzdzzppddzdpdd. Give prob of sequence pz.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 158*k**2 - 313*k**2 + 154*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*o - 38 - 4. Let r be o - -9 - 73*1. Let p = -13 - r. List the prime factors of p.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 765*s**3 + 3*s**2 + 2293*s**3 + 2*s**2 - 5*s**2 - 168*s**3.\nAnswer: 2890*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -132*g**2 + 2*g. Let y = 0 - 3. Let t be r(y). Is (-4)\/10 + t\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 s when two letters picked without replacement from {p: 2, y: 2, c: 1, z: 1, s: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o + o. Suppose -82 + o = -2*r. Suppose 2*i - r + 15 = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72*a - 98*a + 2323 + 3228 = -117*a for a.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (5536\/6)\/(-4 + (-13)\/(-3)). Suppose -h = 3*c - j, -4*c + 4*h = -2*c - 1822. What is the remainder when c is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14 - -10) + -1 + (1 - 4) + 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 26413660 + 0?\nAnswer: 26413660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -3 + 50 + -50\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0.2661, -2\/1771 in descending order.\nAnswer: 0.2661, -2\/1771, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - k**2 - k + 4*k + 4 + 0 as t + n*k**2 + y*k and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -306\/2825273?\nAnswer: -306\/2825273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 559*x**4 + 4462*x - 434 + 2*x**2 + 434 - 4*x**3 + 2699*x - 600*x**4 wrt x?\nAnswer: -492*x**2 - 24*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) -183  (c) -2  (d) -1  (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-12)\/9 - 48\/(-9). Let i(v) = -6*v - 3. Let f be i(-2). Suppose t - c*l + f*l = 24, 3*t - 2*l - 55 = 0. What is the remainder when t is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*sqrt(52)\/sqrt(4) - ((0 + sqrt(208) - sqrt(208)) + sqrt(13))**2) + sqrt(26)\/(sqrt(162)*2 - sqrt(2)))*4.\nAnswer: -404*sqrt(13)\/17 - 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 21 + 159. Let a = 7 + q. Is 17 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 f when two letters picked without replacement from hhnhnhnfnnnnnn.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000113878357 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n + w + 87, 2*n - 4*n - 4*w = -48. What is the greatest common divisor of 48 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 239 (base 10) to base 9\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -w**3 + 4*w**3 - 5*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a + 2*a - 3*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 4*r - 28 = -4*z, -r + 114 = 5*z. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -3 + 3*l**2 - 2*l**2 - 2*l + 2 - 5. Let f(y) = 10*y**2 + 4*y + 2. What is the remainder when f(-2) is divided by b(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/353223 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 5, 18, -10, 9, -583, 1 in descending order.\nAnswer: 18, 9, 5, 1, -4, -10, -583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-5 + ((2 + (sqrt(275) - (0 + sqrt(275) + 0)))*3)**2)*-4.\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 110200 (base 6) to base 10\nAnswer: 9144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 44036*c + 219788. Give d(-5).\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 28572347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/31349793 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + -1 + -7 + -3 + 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-1\/4))**12)**(-12\/19) assuming p is positive.\nAnswer: p**(36\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -37 + 54 + 5 + (-7 - (-4 - -4)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -6*f + 24. Suppose p + f*h = 14*h - 20, 0 = -5*p + h - 43. Let b(j) = -j**3 - 7*j**2 + 7*j + 3. Give b(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*d**3 - 214*d**4 + 216*d**4 + 3 - d**3 to l*d**2 + x + b*d**3 + r*d**4 + i*d and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the second derivative of -11*k**3\/3 - 19*k**2 + 51*k. What is the derivative of c(u) wrt u?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 505*x**3 + 2*x**2 + 2*x**4 + 0*x**4 + 651*x**3 - 4*x**4 as k*x**3 + s + z*x**2 + u*x**4 + l*x and give k.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6592*q**2\/5 - 19188*q\/5 - 517\/5 = 0.\nAnswer: -11\/412, 47\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) -0.5  (c) 1  (d) 5  (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*w**2 - 3*w**2 + w**2 + w**2 + 2*w**2 - w**2 + (3 - 3 + 2*w)*(0 + 0 + w) + 16*w**2 - 10*w**2 + 26*w**2)*(6*w - 6*w + 34*w**2).\nAnswer: 1292*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(125) + sqrt(125) + sqrt(125) + -1 + sqrt(125) + -4 + sqrt(125))**2 - (4 + (sqrt(125) - 2*(sqrt(125) + 0))**2).\nAnswer: -50*sqrt(5) + 2997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -3540 and -1244.3?\nAnswer: 2295.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -22 + 30. Suppose -h*f = -3*f - 10. Solve 0*b = -f*b - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 77\/(-21) + 4 - 11\/(-3). Suppose -6*y - 5 = -i - 5*y, -x*i + 20 = -5*y. Solve 0 = -i*g + 8 - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m - 2*s - 12, -3 + 11 = -4*s. Let q = -2 + m. Let k be 2\/(-6) + 16\/3. Sort q, -5, k in decreasing order.\nAnswer: k, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes before 5:41 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -65904*o + 65904*o + o**3 - 5*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 889 - -0.03.\nAnswer: 889.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 592 = 1416*w - 3257 - 1815. Let t = 5 + -3. Suppose -t*f + 13 = 5. Solve f = 2*x - w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 35*o - 231. Let v be p(7). Solve 5*z + 2*t = -21, -12*z = -v*z - 5*t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 69, -15171, -2, 4 in descending order.\nAnswer: 69, 4, -2, -15171","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -136 divided by -2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 6*l - 2. Let a be s(4). Let p = a + -10. Let d = p - 7. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 - 6. Let j = -5 + z. Which is smaller: -2\/3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 5*o = 108, -o - 3*o = -4*u + 244. Let t = u + -61. What is the remainder when 33 is divided by t + 22\/(-2)*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 6*d**2 + 2*d - 2. Let o be j(1). What are the prime factors of (39\/o)\/(36\/(-40) - -1)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-25)\/2 + (-1)\/(-3) - (26363\/(-246) + 107).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**2 - 3*t + 1. Let g = -5 - -3. Let b be o(g). Suppose b*y - 56 = 10. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the third derivative of 0*s**6 + 0 + 0*s**4 + 0*s + 1\/56*s**8 + 0*s**7 - 1\/12*s**5 + 0*s**3 - 5*s**2. Find the third derivative of x(r) wrt r.\nAnswer: 360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.5 - 0.7. Let d = -0.8 + k. Which is the third biggest value?  (a) -3\/4  (b) d  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 357420409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Is -7\/149 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 11*x**3 + 17*x**2 - 17*x + 17. Let q = 87 + -53. Let b(w) = 2*w**3 + 3*w**2 - 3*w + 3. What is q*b(c) - 6*f(c)?\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2935 + 943 = -12*r. Is 42 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j**2 + 852*j - 3456 = 0.\nAnswer: -288, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -208.4 + -35.\nAnswer: -243.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:25 AM and 9:37 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 58681608 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, 11445, -5, -3 in descending order.\nAnswer: 11445, 12, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2 + -3 - (0 - -1). Let t be 4*(f - (-1 + -2)). Suppose -s - 21 = -0*g - t*g, -3 = 3*s. Solve x + x - 13 = g*q, 4*q = x - 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -34440 - -35553. What is the remainder when z is divided by 183?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u\/(u\/(u\/(u\/u**(-3\/7))))*u)**(2\/37)*u**(3\/5)*u\/(u*u*u*u**(-6\/5)) assuming u is positive.\nAnswer: u**(-149\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 101021101202 (base 3) to base 10\nAnswer: 202223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.22 and 1188.\nAnswer: 1187.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 3552701*b. Let z(h) = 16*h**2. Determine y(z(n)).\nAnswer: 56843216*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 6 = -3*j. Suppose 0 = -o + 2 + 2. Let i be 10\/o*4\/5. Which is greater: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 12937*z**2. Let q(j) = 16079*j**2. Calculate y(q(x)).\nAnswer: 3344657475817*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.5 - -1.9. Let b = d - -1.1. Let z be 8*3\/72*-1. Put 0.4, b, z in ascending order.\nAnswer: z, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1001 (base 2) to base 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 2678 divide 397064230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3137 + 507 = -508*l + 2450 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -155*f + 159*f = 35580. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1795 >= 69369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 57066 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -26237048*y**3 + 454*y**2 - 1140.\nAnswer: -157422288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 52730 and 1070?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + h = -22. Suppose 0*d = 4*b - 5*d - 68, -36 = -4*b - 3*d. Let s = b + h. Sort -1, s, 0 in descending order.\nAnswer: s, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7564 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1884690 by -215.\nAnswer: -8766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**2 - 29*t - 465. What is the remainder when 509 is divided by y(41)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47 + 58 = q + 53 for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 209106701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00033167613 to 5 dps.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -28*c**3 + 9*c**3 + c**2 - 82*c + 24*c**3 - 3*c**3 to the form l*c**2 + m*c**3 + y*c + k and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 5) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 62509.63 meters?\nAnswer: 62.50963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 124 and 80972?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -2481 divided by 28361\nAnswer: -2481\/28361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 69 - ((-39 - -55) + 87)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 17*k + 4. Let r be b(1). Suppose -111 = -4*x + r. Suppose 13*s - 825 = 8*s. What is the greatest common divisor of x and s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 - -1101010100111?\nAnswer: 1101010101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 76287218.\nAnswer: 2, 7, 31, 25111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*m + 9*m - 7*m)*(-m - 7*m + 6*m).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-84 + 205 + 119)*(18*i + 2*i - 3*i).\nAnswer: 4080*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/15744 and -17\/24.\nAnswer: 15744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 49265962 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 940 is divided by 107?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.04 - -0.04. Let k be (-612)\/(-126) + -5 + (1 - 0). Let z = -3 - -2. Which is the closest to z?  (a) u  (b) -3  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 712*v**2 - 42*v + 88. List the prime factors of a(2).\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 3*q - 14 = 0, 78*t - 73*t = -q + 22. Suppose -5*i + 4*n = -13, 0 = -3*i + 3*n + 11 - 2. Solve -t*j = 16, 2*m = -4*j - 7 + i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 1, a: 1, r: 2, p: 2, l: 1, e: 7}. What is prob of sequence aplp?\nAnswer: 1\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -30158298 divided by 6\nAnswer: -5026383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -208*x + 62. Let c(m) = 333*m - 93. Let g(l) = -5*c(l) - 8*f(l). Give g(-21).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the first derivative of 1\/2*a**2 - 1\/2*a**3 + 10 + 1\/4*a**4 - 1\/20*a**5 - 1\/4*a. Factor f(k).\nAnswer: -(k - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 - 11*c + 1 + (c + 3*c - c)*(-2 - 2 + 3).\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -f3c8 (base 16) to base 8\nAnswer: -171710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 228763064 to the power of 1\/3, to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 - 13303104?\nAnswer: -13303104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes before 11:39 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (10 + (9 - 29) - -10)\/(2 - -1). Let l(m) = 3*m**3 + 4*m**2 - 4*m + 3. Let k be l(2). Solve -7*o + k = -x*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*g - 28*g + 20. Suppose 2102 = 6*f - 4*f - g*k, f - 4*k = 1048. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 312623824 to the nearest integer?\nAnswer: 17681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 312230\/7 + -44803. Let a = -199 - r. Is a less than -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 43 + 23 = -3*w, 2*f + 54 = -5*w. Let d = -7 + 10. Suppose o + 5 = -m, m = -3*o - 2 - d. What is the nearest to -1 in f, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 112041 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q + 6. Let h(r) be the third derivative of -r**4\/12 - 2*r**3 - r**2 - 451. Give 6*h(w) + 10*n(w).\nAnswer: -2*w - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -321*q*u**2 - 6*u**2 wrt q?\nAnswer: -321*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 1  (b) -0.08  (c) 1.73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/2593 and -31\/136?\nAnswer: 352648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + (7 - 20) + 8 + 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (4 + (sqrt(931) - (sqrt(931) + -2 - sqrt(931))) + 5)**2)*3.\nAnswer: 462*sqrt(19) + 3150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -129*g + 26*g - 66*g + 63 + 55 - 120.\nAnswer: -169*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**2 - 22*k + 33. Let t be u(-23). Suppose -b - 6 = -t. Solve -25 = b*g + g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 6) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*h - 63 = -39 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 77, 161, 249, 341?\nAnswer: 437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/10, 1\/8, 17603, 1\/3, -898?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 - -5 - 10 - -13.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1880 + -12?\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 33488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u\/(u*u**(-1\/13)))*u)\/u)**(2\/5)\/(u*u**41*u*u*u\/((u*u**17)\/u)) assuming u is positive.\nAnswer: u**(-1796\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 1, 172.\nAnswer: 1, 7, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13793 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1820 and 8?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 801306.\nAnswer: 2, 3, 11, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -102 divided by -4339.\nAnswer: 102\/4339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(2736) + -2*(-1 + sqrt(2736)) + (-1 + sqrt(2736) + -2)**2.\nAnswer: -84*sqrt(19) + 2742","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -2*v - 10. Let u be s(7). What are the prime factors of 32\/u*(-30)\/4?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-186)\/24)\/31*(-16)\/196\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes before 11:21 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -19788e (base 16) to base 5.\nAnswer: -411404022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3086 - 319 = -227*t for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -1 + 0*b**2 + 3*b + 5 - b**2. Let a be i(3). Solve a*j + 4*f + 0*f = -16, 4*j = -5*f - 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1462857, 1462844, 1462827, 1462806, 1462781, 1462752, 1462719?\n\"Answer: -2*l**2 - 7*l + 1462866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -39\/980?  (a) 0  (b) 0.2  (c) -3\/8  (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1923*4.\nAnswer: -0.7692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -5*l - 2. Let j be y(-3). Suppose p + 56 = 3*p. Let t = p - j. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((i**(-18\/5)\/i)\/i)**(6\/17))**(-19))**(-6))**(-14) assuming i is positive.\nAnswer: i**(268128\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4176 + 4176 - 60344*q**2.\nAnswer: -60344*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = 3*z - 13, -5*x - 54 = -4*z - 16. What is the first derivative of 14*h + z*h - 23*h + 4*h**2 + 45 wrt h?\nAnswer: 8*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10*(-4326)\/(-2940) + -1 + 15?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v - v + 3*v)*(-11*v + 3*v + 9*v)*(4*v**3 - 3*v**3 - 4*v**2 - 3*v**3).\nAnswer: -4*v**5 - 8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 418588925.\nAnswer: 5, 16743557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 2*h**2 + 37*h - 523. Calculate the least common multiple of 16 and f(17).\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6208.547 * 0.4.\nAnswer: -2483.4188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 4*35\/60*4\/28\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 13 + (-30 - -13) + (0 - -2 - 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 24 = -h. Let w(y) = -4*y + 6. Let m(i) be the third derivative of 0 + 0*i - 1\/8*i**4 + 5\/6*i**3 - 50*i**2. Calculate h*m(u) + 5*w(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -15561 + 15561. Solve -21*m + 63 + 84 = s for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7259 - 4177. List the prime factors of z.\nAnswer: 2, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 677 is divided by 214.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 - -5. Suppose -k = 3*v - 5*v. Solve v + 3 = 5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**2 + 3*a + 7. Let d be p(-2). What is the third derivative of 2 - 1367*z**d - 9 + 1441*z**5 + z**6 + 7*z**2 wrt z?\nAnswer: 120*z**3 + 4440*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 225\/(-33) - 80\/440.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2.09, -143, 1, 2 in increasing order.\nAnswer: -143, 1, 2, 2.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5.4941 - -0.1259. Which is smaller: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 260257 + -88?\nAnswer: 260169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**17\/(t\/t**(5\/8))*(t\/(t**(-1\/3)\/t*t))\/t**38 assuming t is positive.\nAnswer: t**(-481\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 69 - 69 + 10*j to the form f + x*j and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000015147 to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = -4*w + 40. Suppose 0*c - 2*m = 2*c + 4, -4*m = w*c + 12. Let f(k) = -4*k - 10. Let o be f(c). What is the greatest common factor of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes before 8:11 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 163 is divided by 6\/7 + -1 + 25142\/182?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes after 1:25 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -435 + 244. Suppose 12*d - 11*d - 301 = -k, 4*k = -d + 1195. Let q = n + k. List the prime factors of q.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y = -94*s + 98*s - 4, -2*y = -2*s + 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 9087 divided by 7\nAnswer: 9087\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ngjg when four letters picked without replacement from gnnngnpjgnjjngjj?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 2*v**2. Let y(x) = -72537*x - 2. Give y(d(o)).\nAnswer: -145074*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 7 - -12*((-3)\/(-2) - 2). Is o greater than -0.391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rkxncvx. What is prob of sequence xrkv?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -236*p + 228*p + 48. Suppose 3452 = p*o - 4042. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 83, 170, 249, 314, 359, 378, 365?\n\"Answer: -n**3 + 2*n**2 + 88*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 42222*z - 548898. What is i(13)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*q - q + 0*q)*(-q**2 - 3*q**2 - 2*q + 3*q**2)*(-3*q - 2*q - 3*q) in the form z*q**4 + o*q**2 + s + i*q + w*q**3 and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-2)\/(-1) + 166\/2 is divided by 25.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 215951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5002*f + 5010*f - 7 - 10 + 20 - 3.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*f - 10 = 23*f + 5*c, 0 = -4*f + 3*c + 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 1\/10 of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -22, -15, -30, -73, -150, -267?\n\"Answer: -q**3 - 5*q**2 + 29*q - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/30 in 0.1, -0.1, 2\/21, -116?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1076049299?\nAnswer: 13, 251, 329773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -14616 divided by -84\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 45, 83, 133, 201, 293?\n\"Answer: f**3 + 31*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 294*r - 4832 + 4832 - 135*r.\nAnswer: 159*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -81*h + 6608. What is the remainder when p(-12) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1, 431733.\nAnswer: 0, 1, 431733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:43 AM and 1:40 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 0*t - 2*t - 3*t**2 + 2*t**2 + 6 - 2*t + 15. Let z be w(-6). Solve 8*j + z = 25 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -43448 minus -0.03?\nAnswer: -43447.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-2))\/(266\/152)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 3*i = 3, 3*n = n + i + 9. Suppose -2*j - 4 = 0, 5*j = k - n - 9. Let x(t) = 29599*t + 5. Let u be x(k). Round u to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, h: 5, k: 3, w: 2, v: 3, o: 1}. What is prob of sequence ykh?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 165*g = 162*g + 273. What is the highest common divisor of 7 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000003007213927 to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -a + 12a98b?\nAnswer: 12a981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w**2 - 2*w**2 + w**2)*(59*w**2 + 219*w**2 + 311*w**2).\nAnswer: -1178*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -2*4*((sqrt(20) - sqrt(200)\/sqrt(10))**2 - (sqrt(180) + 5*sqrt(180) + sqrt(180))**2) + -5.\nAnswer: 70552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1151887667 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.03 + -0.97. Let i = 1.04 + r. Let x = -0.039993 + i. Round x to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 5*f**2. Suppose -7*r - 30 + 142 = 0. Let t(s) = -29*s - r*s + 5*s - 4*s + 6*s. Give a(t(c)).\nAnswer: 7220*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 3*s**2 + 3*s - 4. Let c be ((-70)\/(-15))\/(2\/(-3)). Let x be l(c). Suppose 5*k - 2*n - 2*n = 194, -x = -3*k + n. Is 21 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 50 + -50. Let x = -27.1 - -27. Which is the second biggest value?  (a) -1\/3  (b) 0.1  (c) y  (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 2*u + 1. Let k be n(2). Suppose k*f - 159 - 36 = 0. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -o**5 + 54*o**3 + 258*o**2.\nAnswer: -60*o**2 + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3, 32, 15 in decreasing order.\nAnswer: 32, 15, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 189 < 87343\/464?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -3, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 109*y + 682. Let f(u) = -2*u**2. What is a(f(x))?\nAnswer: -218*x**2 + 682","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2164.8?  (a) -8  (b) 6\/7  (c) 1\/2  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -4*l**3 - 91*l**2 + 27*l + 274. Give y(-23).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the third derivative of -5*j**9\/504 + 5*j**8\/16 - 389*j**5\/12 + j**2 - 113. Find the third derivative of k(l) wrt l.\nAnswer: -600*l**3 + 6300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b**4\/5 + 64*b**3 - 2560*b**2 = 0 for b.\nAnswer: 0, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2793 is divided by 80?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.2 - 1.4. Let c = 0.2 - x. Put -1, c, 0.5 in increasing order.\nAnswer: -1, c, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(((-7)\/14)\/((-3)\/(-4))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -194*u**3 + 14*u**3 - 22 + 4*u - 173*u**3 wrt u?\nAnswer: -2118*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 65 + -9. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2 - -1) + (-2 - -5) - 17\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in fifteen quarters of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (264\/(-40) - -7) + (-54)\/10. Let w(p) = -p - 5. What is w(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**2 - 4*i - 18. Give o(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*n + 3*n = 56 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7125 = -9*t + 5025. Is 83 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 91027\/9 + -10113. Which is the nearest to 2\/17?  (a) 2  (b) -2  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**5*g**(-11\/3)*g*(g**(13\/3)\/g)**(13\/5))**25 assuming g is positive.\nAnswer: g**275","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 556*r - 17 = 555*r - 4*y, -r + 9 = 2*y - 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 at least 2723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -16431\/8 - -2060. Find the common denominator of o and -11\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13 (base 7) to base 12.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 76639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 413 + 2*n - 1238 + 414 + 411. Let z(m) = 111*m**2. Give i(z(d)).\nAnswer: 222*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the third derivative of -z**8\/1344 - 17*z**7\/840 - 3*z**6\/32 - 43*z**5\/240 - 7*z**4\/48 - 1782*z**2. Find t, given that o(t) = 0.\nAnswer: -14, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -206366, -206361, -206356, -206351, -206346, -206341?\nAnswer: -206336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/8009837 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**3 + 6*k**2 - 3*k. Let j be q(-5). Suppose 2*m + 4 = j. Suppose -4*t + 53 = n, 5*t - 58 = 4*n - m. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*t + 34 = l - 25*t, 5*t = -5*l + 210. Let m = -59 - -103. What is the least common multiple of l and m?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l + 4. Let p(w) = -11*w + 9. Let j(x) = -p(x) + 6*q(x). What is j(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 149\/1 - 0\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -9*(-5 - (-1 + -5)). Let f(c) = -c**3 - 8*c**2 + 8*c + 10. What is f(d)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 276734 is divided by 1472?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d + 2*s + 14 = d, 4*d + 8 = -5*s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.7  (b) 3\/13  (c) -22  (d) -0.2  (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h - 0*h - 156. Let l = 115\/3 - h. Sort 3, l, -4, 2\/5 in increasing order.\nAnswer: -4, l, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -343 divided by 60\nAnswer: -343\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 20025 and 13617?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = 215 + 15. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 7, m: 9}. What is prob of picking 1 j and 3 m?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1323 and 147.\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1\/3)\/(-5 + 242\/48). Let p = 0 + 2. Let t(h) = 6*h**p - 4*h**2 + r*h**2. Let d(v) = v**2. What is t(d(s))?\nAnswer: 10*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000726848562 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-6))\/((-64)\/(-12))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and -201.029.\nAnswer: -80.4116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4418450 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 333341705?\nAnswer: 5, 293, 227537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 6781.743 centimeters in meters?\nAnswer: 67.81743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4 + 1 - -7) + 14. Let v be ((-6)\/x)\/(1\/(-6)). Suppose -6 = 4*d + 2*a, 3*a + v = d - 7. Solve -4*s - 11 = -d*l + l, 2*s + 7 = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56981*p**2 - 2*p + 484588*p**2 + 2*p.\nAnswer: 541569*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2007805185 to the nearest integer?\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2566044132 to the power of 1\/3, to the nearest integer?\nAnswer: 1369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10 + 6. Let o = 2 - 4. Let j be 3\/4 + 2 + o. Sort g, j, -1\/5 in increasing order.\nAnswer: g, -1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -26 + 37. Factor 0*f**3 - l*f - 7*f**2 + 11*f**3 - 9*f - 4 - 2*f**3.\nAnswer: (f - 2)*(f + 1)*(9*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7722 + 8688. Which is greater: y or 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 323 divided by 115941.\nAnswer: 323\/115941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 13 and 21?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 29016 and 23.9.\nAnswer: 693482.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 divided by 18?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4)\/1*(2 + 2 - 3). Let x = 13 + -12.97. Let c = x - 0.53. What is the closest to 1 in 0.1, j, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 103 - 34. Let h = l - 54. What is the smallest common multiple of h and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (95\/(-2850))\/((-2)\/(-5))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-57)\/(-11) + (-8)\/44. Suppose -c - 3*g + 2*g - 4 = 0, 4*c + 9 = 3*g. Let t = c - -5. Solve 3*r + 3*v = t*r - 3, 0 = -y*r - 3*v - 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16\/10 - 76\/95\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10106769.\nAnswer: 3, 3368923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-12456)\/30 + (-12)\/15. Let k = z + 710. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 17 = -2*r, -4*a = -3*r - r - 20. Let m be ((-90)\/40)\/(r\/16). Suppose 88 - 268 = -m*j. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 205453 (base 7) to base 9\nAnswer: 53704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1541 divided by 23.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001360297 to 7 decimal places.\nAnswer: -0.000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ws when two letters picked without replacement from wwwswswwssw?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -376*t**2 + 11*t - 43. Let s(g) = -127*g**2 + 4*g - 15. Give 4*h(q) - 11*s(q).\nAnswer: -107*q**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h*h\/h**(2\/5)))\/h)**(-8\/3)*((h*h*(h*h**(-2)*h*h*h)\/h)\/h)**9 assuming h is positive.\nAnswer: h**(334\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(((-2)\/3)\/((-4)\/9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.007245 to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*g = 12*g - 52416. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1\/3139 - -6269\/28251. Factor -4\/9*g - 2\/3 + f*g**2.\nAnswer: 2*(g - 3)*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 440 and 1723425?\nAnswer: 13787400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -402 = -5*v + 618. Suppose 3*y = -c + 106, -347*c + 228 = -343*c - 2*y. Calculate the remainder when v is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 140008711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 240424*g**3 - 57276*g**2 - g.\nAnswer: 1442544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3258291 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1665 + 2992. Suppose -4*v + 173 = -t. 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: Let x(d) = 7669*d. Let f(w) = -35659 + 35659 + 2*w. Give x(f(j)).\nAnswer: 15338*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = 3*y + 6, -3*t = -8*t - 2*y - 4. Suppose 5*j - k + 5 - 4 = t, 2*k + 6 = 2*j. Which is the closest to -0.1?  (a) 2\/17  (b) 2\/11  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the first derivative of r**3\/3 - 15*r**2\/2 + 57*r + 604. Determine a(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the second derivative of -3*p**7\/35 - p**6\/5 - 2*p**5\/15 - 5*p**2 + 27*p. Let y(r) be the first derivative of n(r). Factor y(b).\nAnswer: -2*b**2*(3*b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2101221210 (base 3) to base 5\nAnswer: -3003402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 18280317 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 6 = 2*d - 3, 2*d + 6 = 2*c. Let l(z) = 5*z + 4*z - c*z. Let t(o) = -o**2. What is l(t(u))?\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 161*m - 1605833 = -1595368 for m.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-64)\/(-6))\/((-58)\/((-17400)\/(-100)))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*j + 4*j - 3*j)*(-30 + 26 - 155) + 0 + 2*j + 0 + 3*j + 2*j - 3*j + (2 - 2 + 2*j)*(-1 + 5 - 2) + 3*j + 4*j - 5*j to the form n*j + w and give n.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 33105668?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**3 + 16*x**2 + 17*x + 11. Let r be k(17). List the prime factors of (-2)\/((-1 + 0)\/(418\/r)).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:14 AM and 10:53 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 + 10 + s**3 + 372*s - 372*s.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.38 and 4?\nAnswer: -1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5592690 divided by -15.\nAnswer: -372846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = 2*w - 794, -o + 5*w - 4*w = 157. Find the common denominator of (-3)\/2 - (2 - 232\/o) and 7\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -600*b - 4415 = 4111 - 3126 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 15 - 48.1.\nAnswer: -33.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 7*v - 168. Let a(y) = -14*y + 303. What is -4*a(s) - 9*g(s)?\nAnswer: -7*s + 300","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 68*f + 529. Give d(-7).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/576 and 59\/640.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 476357305 to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 2\/5, 61 in decreasing order.\nAnswer: 61, 2\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 34149483493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2819.\nAnswer: 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 153*x**3 + 80*x**4 + 6*x + 10*x + 4*x**3 + 112*x**2 + 55*x**3 = 0. What is x?\nAnswer: -2, -2\/5, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 509 - 527 - (3 - -1).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:09 AM and 1:08 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2451 - 2447. Let w be (3 - 2)\/(2\/(-36)). Let l = -10 - w. What is the highest common divisor of l and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(84)\/(sqrt(300) - (sqrt(300)*-3 + sqrt(300)) - sqrt(300)).\nAnswer: sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -4*f**2 - 24*f - 35. Determine g(-14).\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in twenty-one fifths of a kilometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 48*39*(-1)\/(-9)*-10. Let v = -20767\/10 - l. Let s = 7222 + -43445\/6. Find the common denominator of s and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 17410 and 215?\nAnswer: 748630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes after 12:22 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 88 = -82025*v + 82014*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1609 - 1015. Let s be -17 + (17 - 3) - -19*3. What is the greatest common factor of z and s?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f + 3*w - 134, -2*f - 94 = -5*f + 5*w. Calculate the remainder when f is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -0*x + 2*x. Let v(i) = 2*i**2 - i - 2. Let k be v(x). What is the remainder when k\/5*(-15)\/(-6) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 100838 and 27790?\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-20*f - 5*f + 6*f)*(-426 + 20*f + 426) to the form y*f + q*f**2 + c and give q.\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**3 - 167*g**2 - 4362*g - 1027. Give f(190).\nAnswer: 493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**3 + 4*y**2 - 4*y + 2. Let j = 1 + 1. Let q be n(j). Suppose q*r - 42 = 14. What is the greatest common factor of 70 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -112688, -112693, -112702, -112715?\nAnswer: -112732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -2*i**2 - 3*i + 48. Let w be c(4). Let g(p) be the first derivative of 8 + w*p**2 - 4\/15*p**3 - 20*p. Factor g(d).\nAnswer: -4*(d - 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.1346 + 0.1346. What is the closest to y in 0.5, -0.05, -12, 2\/9?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 2 g when three letters picked without replacement from gauggggggu.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 599580698?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h + 2. Let c(a) = -3. Calculate -3*c(n) - 2*y(n).\nAnswer: -2*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*k**2 + 3*k - 3*k)*(-69*k**3 + 5*k**2 - 5*k**2) - 2*k**2 + 2*k**2 + 2*k**5.\nAnswer: -412*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*1*sqrt(153))\/(sqrt(54)\/(sqrt(6) + sqrt(12)\/sqrt(2))).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1610 + 5100 - 698 + 2183*a**2 + 3016*a**2 + 1630*a**2 with respect to a.\nAnswer: 13658*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 73313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 8412, 1 in decreasing order.\nAnswer: 8412, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 55425 (base 6) to base 12\nAnswer: 4575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 2*r. Let f(m) = -33*m - 6. Let u(x) = 18*x + 3. Let h(n) = -3*f(n) - 5*u(n). What is h(g(v))?\nAnswer: 18*v + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1336, -2692, -4048, -5404, -6760?\n\"Answer: -1356*q + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (3 - -1) + -12 + (0 + -2 - 6)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 12 = -4*n, n - 2*n + 10 = -4*y. Let g(u) = 11*u + 103. Let i be g(-9). Solve i*q - 4 = -4*a, -2*q + 3 = 5*a - n for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**3 + 12*c**2 + 10*c + 5. Determine s(13).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.29 - -3.31. Let c = -3.387 + -0.213. Let h = l + c. Which is smaller: 13 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1035122, -1035114, -1035100, -1035080, -1035054?\nAnswer: -1035022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*c**2*y**2 + 21*c**2*y - 9*c*y**2 - 122*c + y**2 wrt c.\nAnswer: -14*y**2 + 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, -0.1, -10946563 in increasing order.\nAnswer: -10946563, -0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -142, -257, -384, -529, -698, -897, -1132, -1409?\nAnswer: -1734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1559.02?  (a) 5  (b) -4  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**2 + 12*q - 6. Suppose -4*d + 205 = 3*o, 4*d - d + 2*o = 155. Calculate the remainder when d is divided by v(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 434 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*g*((g\/(g*g\/(g**(-1\/11)*g)))\/g)\/g)\/((g\/(g*g**(-1\/3)))\/g))\/(g*g\/g**(-3\/7)*g*g**4\/g))\/(g**(-1\/3)*g**(6\/7))**(3\/2) assuming g is positive.\nAnswer: g**(-3067\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 17670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 61576293 divided by -5.\nAnswer: -61576293\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 932 - 930. Let h(v) be the second derivative of -15*v + 7\/12*v**4 + 0*v**3 + 0 - 7*v**a. Find the first derivative of h(f) wrt f.\nAnswer: 14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -4*g**2 + g - 2. Let d = -3 - -6. Let s be p(d). What are the prime factors of s\/(-3) - (-4)\/(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4147*s - 154 + 154 + 37*s.\nAnswer: 4184*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 216277806 to the nearest integer?\nAnswer: 14706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -6*z**3 - z - 1. Let d(i) = 13*i**3 + 2*i + 2. Give 3*d(j) + 7*m(j).\nAnswer: -3*j**3 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -1\/8, -2, -1\/5, -3.\nAnswer: -8, -3, -2, -1\/5, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 24280\/(-24) + (-1)\/(-6). Let q = 1102 + t. Let v = 90 - q. What is the closest to v in -0.2, -4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 4*s + 4*v + 10, 0 = -2*v + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(7) + sqrt(42)\/sqrt(6) + 2) + 3)**2.\nAnswer: 360*sqrt(7) + 1233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (2 - 3) + (4 - 9) + (8 - 15)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 0 - 2)*(-4 + f + 4) + 2 + 7*f - 2 + f + 3*f - 2*f in the form z + s*f and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -89\/2 + 47. Let j(z) = -z**3 - 3*z**2 + 4*z. Let t be j(-4). What is the third biggest value in b, -3, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 2\/60*-35*(-3924)\/(-504) and (85\/132)\/((-2)\/(-4)).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.5, -2\/61, 1?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.453 + -0.4530107. Round d to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - 18 = 7 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 9*(-1 + 2)*7\/21. Suppose -2*b - 2*b = l*t - 30, -2*t = 2*b - 20. Let a(i) = i**3 - 10*i**2 - i - 4. Give a(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5075843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*q + 35 = -12*q - 5*d, -d = -5*q + 79. Suppose 13*a + 8 = q*a. Solve 3*v = -f - 6, -3*f - f + a*v + 24 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*v - 5 + 5 - 2*v - 4 + 4 + v - v - v + (3*v - 5*v + 3*v)*(-2 + 2 - 2) - 3*v + 4*v + v)*(1284*v**2 + 36*v - 1281*v**2 - 10*v).\nAnswer: 9*v**3 + 78*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 8*r + 3*r**2 + 9*r**2 - 14*r**2 + 14 + 7*r**2 - 4*r**2. Suppose 0 = l + 2 + 4. Let j be s(l). Solve 3 - j = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 + 3. Let k(f) = -f + 3 + a*f**2 - f**2 - 2. Let o(v) = -3*v**2 - 6*v + 6. Let q(u) = 6*k(u) - o(u). Let n(r) = r**2. Determine n(q(l)).\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 3 = 3*h, -2*l = h + 3 - 4. Let g be 5 + l + 0\/10. Suppose -g*m + s + 775 + 696 = 0, 0 = -4*m + 5*s + 1160. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1484424753*d**4 - 140632845*d wrt d?\nAnswer: -17813097036*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -376\/15 - -544\/15. Let b = 262\/165 + 7\/33. Calculate the common denominator of b and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 768 and 543.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2002201 - 10?\nAnswer: -2002211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 458 = -94. Calculate the greatest common divisor of 96 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2653*s - 440*s - 2133*s.\nAnswer: -5226*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13706725?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -8, 5, -230, 103, 2 in ascending order.\nAnswer: -230, -8, 2, 3, 5, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 107*o**2 - 6*o + 20. Let j(m) = -m + 3. Calculate 14*j(f) - 2*k(f).\nAnswer: -214*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 + 873?\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r - 77791 + 16846. Suppose 18*x - 15*x - r = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50\/5*(-11)\/((-220)\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, k: 3}. What is prob of picking 1 e and 1 k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -38*b**2 - 307*b**2 - 9*b**4 - 318*b**2 + 9*b**3 + 18*b**3 - 11*b**3 wrt b.\nAnswer: -216*b + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -41541, -82730, -123919, -165108, -206297, -247486?\nAnswer: -288675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 7*n - 4*n - 149 = 0, n = 3*t - 240. Let r = -81 + t. Sort -4, 1, r in decreasing order.\nAnswer: 1, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of -o**6\/120 + o**5\/30 + o**4\/12 + 6*o**2. Give d(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.45 + -3.45. Suppose 12 = 4*j + 32. Let s be 13\/(-195) + 2\/(-25)*-5. Which is the closest to n?  (a) 0  (b) j  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 59*w**3 - 12*w - w**2 - 56*w**3 + w**2 in the form t*w**2 + s + x*w**3 + c*w and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*t + 4431 + 617 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7448 in 0.3, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 410816*g. Let t(m) = -2*m**2. Give t(a(z)).\nAnswer: -337539571712*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1627.1396*7\nAnswer: 11389.9772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1242\/126 - 7)*(-154)\/(-55).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -22\/1011 and 65\/96573?\nAnswer: 32545101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 76\/5 of a century?\nAnswer: 1520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -19912 - -46728. List the prime factors of b.\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -6a6 + -1?\nAnswer: -6a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -0.3  (b) -2\/7  (c) 2.8  (d) -0.4  (e) -4\/5  (f) 4  (g) 2912\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 20 = 3*z, -6*y - z = -4*y - 8. Suppose 336 = 2*g + y*g. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 47064 and 8904?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (3 + -9 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 227880 and 10440.\nAnswer: 6608520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 35791712 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 1)*(4*j - 3*j - 2*j)*(j - 1 + 1)*(-49035*j - 419*j**2 + 49035*j).\nAnswer: -838*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 13 = -11. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + 3*(-4 + sqrt(112)\/sqrt(4)))*-4)**2.\nAnswer: -1728*sqrt(7) + 5328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*l*m*y**2 - 24*l*m + 66559*l*y**2 - 2*m*y**2 - 256*m - y wrt y?\nAnswer: -4*l*m + 133118*l - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nhf when three letters picked without replacement from {f: 1, p: 1, n: 1, s: 1, h: 1, c: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (13 - 5) + -9 + 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**3\/6 - 175*w**2\/6 + 89*w\/3 + 176\/3.\nAnswer: -(w - 2)*(w + 1)*(w + 176)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jl when two letters picked without replacement from tbltbttjt.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.6 + 0.43. Let c = 35.17 - 40. Let r = b + c. Put 4, r, 2\/11 in ascending order.\nAnswer: r, 2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1058 - -1059. What is the highest common factor of i and 271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r + 6. Suppose -2*a + 0*a - 4*m = 32, -21 = a + 3*m. Let k be y(a). Let v = 4 + k. Solve -4*h - h - 17 = -2*l, h + v*l = -21 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 + 14. Let h = -12.89 + c. Round h to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 41.9 + -42. Which is the nearest to 36?  (a) v  (b) 1\/3  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the third derivative of c**5\/60 + 3*c**4\/4 + 37*c**3\/6 - 65*c**2 + 1. Let z be g(-15). Which is greater: -11 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -37*l + 7. Let k(w) = -18*w + 4. Let h(f) = 4*i(f) - 9*k(f). Let v be h(4). What is the greatest common factor of v and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = 2*n - 9 - 21, 0 = -5*n - 5*h + 45. Let b(c) be the first derivative of -c**4\/4 + 4*c**3\/3 + 3*c**2 + 5*c + 1. What is the units digit of b(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 2*z, -4*z = -0*z - 5*o + 28. Sort -3, z, 0.\nAnswer: -3, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 170, -33024 in ascending order.\nAnswer: -33024, -2, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 441 and 2450.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 9\/86074 and -39\/430370.\nAnswer: 430370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**2 + 16*c - 60. Let x be t(7). Suppose 3*n - 13 = -2*v, x*n - 4*v - 29 = -2*v. Solve 5*b - 5*q + 40 = 0, -3*b + n*b = 3*q - 28 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the third derivative of -u**7\/1155 + u**6\/60 - 29*u**5\/330 - u**4\/12 + 10*u**3\/11 - 98*u**2 - 2*u + 1. What is k in y(k) = 0?\nAnswer: -1, 1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -16 - -32. Let n be 26\/l - (-9)\/24. Suppose -15*s + 91 = -n*s. Solve 2*p = s*p + 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 144711, 289403, 434075, 578721, 723335, 867911, 1012443?\nAnswer: 1156925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 18.69 and -0.11311.\nAnswer: -2.1140259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + b - 39 = -51, 3*g - 4*b = 3. Suppose -2 = -k - 0. Let w = k + 14. Calculate the remainder when w is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a - 107 = -25434*v + 25439*v, -a - 1 = 0 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3455 = 118*z - 68*z - 40555. Calculate the remainder when z is divided by 110.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m - 35 = -5*f, -55 = -4*f + 4*m - 23 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is a - -2e4066a?\nAnswer: 2e40674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from {c: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 599087 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h - 337 + 349 = -4*x, 0 = -2*h + 4*x for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6318 and 10935?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 7*v**3 - 5*v**2 + 6*v - 11. Let j(a) = -2*a - 4*a**2 - a**2 + 7*a + 6*a**3 + a**2 - 11. Let o(t) = 5*g(t) - 6*j(t). Is 11 a factor of o(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -243.2 - -246.2. What is the closest to -2\/9 in -2, 8, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/2646 and 11\/30.\nAnswer: 13230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -4\/1183457?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 4584 equal to 4586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o - 2 + 12 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -6523, -6521, -6519, -6517, -6515?\n\"Answer: 2*j - 6525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.129331 - 318.\nAnswer: -317.870669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 164356, 160586, 156816, 153046, 149276, 145506?\nAnswer: 141736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*l + 19*l + 14 = 0. Let p be 2\/(3 - l\/(-3))*-1. Let q be (0\/(-2) + 8)\/(p\/3). Let s(m) = m + 11. Calculate s(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 - (-34 + 59) - -120 - ((0 - 2) + -3)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 5 + 22*n + 952*n.\nAnswer: 974*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000124587 rounded to seven decimal places?\nAnswer: 0.0000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**33*n*n**(2\/117))**(-1\/62) assuming n is positive.\nAnswer: n**(-4097\/7254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -348 - -3c7d2?\nAnswer: 3c488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 - 5*v**2 + 10*v**2 - 6*v**2 + (-7*v + 15 - 15)*(-2*v + v + 0*v) as i + t*v + g*v**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 31283\/240 - 391\/3. Let j(w) be the second derivative of 5\/24*w**3 - 1\/48*w**4 + 2*w - 3\/8*w**2 - o*w**5 + 0. Factor j(b).\nAnswer: -(b - 1)**2*(b + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q - 3. Give x(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 308 and 10?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the second derivative of 149*w**5\/20 + 65*w**2 - 8*w - 37. Differentiate u(f) wrt f.\nAnswer: 447*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, -126, -1?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -903964000 to the nearest 1000000.\nAnswer: -904000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 79 = -10. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**3 + 9*c**2 - 2*c - 3. Suppose -27 = 5*v + 18. Let w be y(v). Suppose 0 = -w*z + 6*z + 2277. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -557 or -104?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(-2\/7)*m*m)**(2\/45)*(m\/(m\/m**(2\/17)*m))\/((m\/m**4)\/m) assuming m is positive.\nAnswer: m**(17341\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/(-6)*24093\/21416?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 55442154 from 0.22.\nAnswer: -55442153.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -60*l - 7. Let g(h) = -59*h - 7. Let y(c) = -3*g(c) + 2*u(c). List the prime factors of y(13).\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 21 = -33. Let q = m + 16. Let s(r) = 4*r**2 + 2*r + 2. What is the tens digit of s(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 3592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1622 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -1517  (b) -0.5  (c) -5  (d) -14\/51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 1 - 15*v + 25*v**3 - 20*v**3 - 6*v**3 to w*v**3 + y*v**2 + a*v + x and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 251 + 11 = 0. Suppose 5*s + 2*y = -0*s - g, 2*s + 4*y = -32. Let t(d) = d**3 + 14*d**2 - 33*d - 11. Let w be t(s). Solve 2*k - w*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (96\/(-30))\/(4\/(-100)). Let t(f) = f**2 - 2*f - 3. Let n be t(3). Suppose n = 4*s - 9*s + y. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.036436558343+152\nAnswer: 152.036436558343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b0b (base 13) to base 12.\nAnswer: -10ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 29596013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 3441*b + 633112. Give w(-184).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 11 in 0.4, 13, -31?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -24\/13 - -2. Let n = 45 + -48. Put -1\/7, d, n in increasing order.\nAnswer: n, -1\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6698964 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1979426658 by 6.\nAnswer: -329904443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 736*a**6 + 9816*a**5 + 397334*a**2 - 16.\nAnswer: 88320*a**3 + 588960*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -18 - -18. Let i = d - 0. What is the nearest to 0.1 in -5\/3, i, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 917036 or -363?\nAnswer: -363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**2 - i + 1. Suppose -5*w + 0*w = -10. Let k = 4 - w. Let l(z) = 4*z**2 + 2*z - 7. Let a(m) = k*l(m) + 10*q(m). Factor a(v).\nAnswer: -2*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 704131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -215*p = 212*p - 443*p + 11616. What is the greatest common divisor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 104881960 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -112664.999816 + 112800. Let z = -135 + p. What is z rounded to 5 dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 greater than -120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2797 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2878 - 2878 - 34*r)*(2 + 1 - 1)*(-4 + 4 + r)*(-4 + 5 - 3 + (3 + 1 - 2)*(-3 + 4 + 1) + 1 + 5 - 4 + 0 + 5 - 4) to the form q + z*r**2 + j*r and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1472 * -19.\nAnswer: -27968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -u**3 + 12*u**2 - 65509*u + 12239033?\nAnswer: -3*u**2 + 24*u - 65509","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-20)\/14*16\/40)\/((-44)\/(-14)). Let t = 48 + -43.9. Let v = t + 12.9. Which is the closest to -2\/7?  (a) v  (b) g  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2*(1 + -3)\/((-2)\/12). Let t be -2*11\/(-3) - 16\/m. Suppose -b + t*b = 35. Solve b*n - 11 = 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1908*j + 1906*j + 1901*j - 5714*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 153 + -152.881. Let l = -0.448 + m. Round l to 2 decimal places.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 48.07975 litres?\nAnswer: 48079.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*c - 5*c - 54 = 0. Suppose -5*a - c = -164. Calculate the remainder when 117 is divided by a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 103\/546 + -2\/91. Let u = -2.8 + -0.2. What is the third biggest value in -0.4, y, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 308314 is divided by 543?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j + 0*j + 3*j**4)*(-3*j + 5*j + 8*j) - 6087*j**3 + 3041*j**3 + 16*j**5 - j + 3106*j**3.\nAnswer: 46*j**5 + 60*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 13751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nt when two letters picked without replacement from tttnnnnntn?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -273 - -387. Suppose -5*u + t = -61. List the prime factors of u.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.03913 and -0.04.\nAnswer: 0.0015652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -0.0606*-32.43\nAnswer: 1.965258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 + (-2 - 4\/(-2)). Let l be -1 + 3 - q - -34. Suppose -4*t = -2*w + 18, -2*w - 7 = -t - l. Calculate the remainder when 82 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lldldddlddllddlldl. What is prob of picking 3 l?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*f**4 - 4*f**3 - 64*f**2 + 64*f = 0. What is f?\nAnswer: -4, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7910 and 15378622?\nAnswer: 1582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 24 - 7001?\nAnswer: -6977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p + 4*b + 20, 4*b + 13 + 9 = 5*p. Factor -3*k**2 + 24*k - 11*k**p + 6 + 2.\nAnswer: -2*(k - 2)*(7*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.678 and 0.17.\nAnswer: 0.11526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y\/((y**(-2\/5)\/y)\/y)*y**(-4\/3))\/(y**(-2)\/y)**(-20) assuming y is positive.\nAnswer: y**(-854\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7689402 millilitres to litres.\nAnswer: 0.0007689402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 143\/1287*(-9 + 297).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = -2*g - 28, g - 2*s = 3*g + 34. Let k be ((-64)\/12)\/(g\/(-12)). What is the third smallest value in -2, -5, 0.3, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.16044 * 29.\nAnswer: -4.65276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the first derivative of 41*s**4\/4 + 214*s + 110. Differentiate d(g) wrt g.\nAnswer: 123*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - 14 - 24500\/(-2030)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38381 (base 11) in base 5?\nAnswer: 3230043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 268568511117 plus -1?\nAnswer: 268568511116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - -32) + 5 + -12 + -35 + 41.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 306236364 a multiple of 268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (-138)\/8*(-66)\/(-165).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*y - 5*r - 64 = 6*y, 64 = 4*y - 3*r. Let z(x) = x**3 - 2*x**2 - 3*x - 2. Let c be z(3). What is the remainder when (-6 - c)*(-284)\/y is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 265 + 2*k - 4*k**2 + 2*k**2 - 207 with respect to k.\nAnswer: -4*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 978.6476mm to meters.\nAnswer: 0.9786476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**2 - 12*m + 10. Let c be v(10). Let p be (1 + 0)\/((-30)\/c). Factor -p*t - 4\/3*t**2 - t**3 + 0.\nAnswer: -t*(t + 1)*(3*t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21a93a3 (base 13) to base 9.\nAnswer: 21385335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 30856328, -4 in decreasing order.\nAnswer: 30856328, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1*-2*1\/(-2). Let h be l - 0 - (-7 - -2). Suppose 2*a - h*a = -8. What is the least common multiple of 5 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -368*-2.2.\nAnswer: 809.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2578837 is divided by 2815?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/((-8)\/12)*-1. Suppose -2*p = -6, -2*p = r*x - 3*p - 1197. Suppose 6*f = -5*a + 3*f + x, 5*a + 4*f = 395. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the third derivative of c**5\/30 + 135*c**2. Let p(f) = -f**2 + 19*f**2 + 31*f**2. Determine s(p(g)).\nAnswer: 4802*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 24 = 6*u. Suppose a - u = -0*a. Calculate the remainder when 22 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*y**2 + 13*y**2 + 22 - 22.\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2521677?\nAnswer: 3, 563, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is (-246776)\/(-32) + 10 + (-10)\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3 + (-11990)\/(-190) + 2\/(-19). Does 196\/3 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence illk when four letters picked without replacement from liillkliii?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0088752269 rounded to four dps?\nAnswer: 0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2348 = 3*y - 478. Let d = -385 + y. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d - 2*p + 24 = 0, 5*p - 16 = -d - 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 + (-2 - -13) + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -72 - -105. Calculate the lowest common multiple of 324\/39 + 1 + (-732)\/2379 and y.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 618358603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-2\/9))**6)**(1\/62) assuming n is positive.\nAnswer: n**(-2\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -55273 - 0?\nAnswer: -55273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18\/4)\/(-10*(-161)\/(-460))?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -2*j**3 + 2*j**2 + 4*j + 2. Let i be q(-2). Let k be (8\/(-28))\/(i\/14). Let z be (-2)\/(-6)*2\/5. Which is the nearest to 1?  (a) z  (b) -3  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -4*n**2. Let p(t) = 10*t - 981. Determine p(f(l)).\nAnswer: -40*l**2 - 981","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ag when two letters picked without replacement from ggggaggaggagggg?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/(-9) + (-26)\/(-6). Let h(c) = -c**3 - c - 4. Let o be h(-3). Suppose 0 = 5*p + u - 3*u - 18, -5*p + 4*u = -o. Solve -p*i = 2 + r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by 306608.\nAnswer: -5\/306608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(1188)*-1*3)\/(1*sqrt(1584) - sqrt(11) - sqrt(1100)*4))**2.\nAnswer: 972\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 822105 is divided by 1225?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2.908, -0.2, -0.3.\nAnswer: -0.3, -0.2, 2.908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 30013043 - -10?\nAnswer: 30013103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 112 - 43 - 9*y - 46. What is the units digit of v(-23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 3*i - 6*y - 55 - 106, -322*i - 5*y - 530 = -332*i for i.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5 + 26. Suppose 0 = 5*q + 50 - 45, 3*q = 4*y - 255. Calculate the remainder when y is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*j**4\/3 + 172*j**3\/3 - 338*j**2\/3 + 56*j = 0. What is j?\nAnswer: 0, 1, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11521627 = -116*m + 11512811 for m.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -48*o + 69. What is the hundreds digit of c(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-66 + 22 - -17) + (12 - 2) + -3 + 3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -3*g - 1. Let x be m(-1). Suppose -x*u = -4*n + 4 + 6, 0 = 5*n - 2*u - 12. Let i(c) = n*c - 5*c + 0*c. Give i(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11000101010001 (base 2) to base 15.\nAnswer: 3b1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 17 - 17 - 8*y**2. Let u(z) be the second derivative of z**5\/60 + z**2 - 4*z. Let o(h) be the first derivative of u(h). Give o(x(g)).\nAnswer: 64*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 374\/297)*12\/(-14).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1 - 10\/(-1) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 20*s - 6. Let f(j) = 41*j - 11. What is 6*f(k) - 11*v(k)?\nAnswer: 26*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 4*v - 1. Let g(s) = 6*s - 1. Calculate 5*g(j) - 8*y(j).\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 885 + 2235 = -864*o + 912*o. Calculate the remainder when 368 is divided by o.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.871 + -0.911. Which is greater: b or 265?\nAnswer: 265","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -465 < -459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 23 - 28. Let k(v) = -v**2 - 5*v - 5. What is k(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 7*u = 12. Let c be -2 - (u + (-26493)\/5301). Let l = c + 48895\/3534. Find the common denominator of 5\/2 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-27)\/(-12) + (-9)\/(-12). Suppose -o*d + 3*u - u = -57, 5*u = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 88 - 136 = -5*k - 8*m, 2*k + 4*m - 24 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*j - 2 = 18*j. What is the derivative of -107 + k**3 + 0*k**2 + 9*k**j + 3*k**2 - 13*k**2 wrt k?\nAnswer: 3*k**2 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 87*v - 165*v + 2 - 3 + 80*v + 3.\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 114150030?\nAnswer: 2, 3, 5, 3805001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -5*a + 5, 0 = 5*t + 5*a - 0 + 30. Let d = -0.083 + -0.217. Sort -0.9, 2\/3, t, d in descending order.\nAnswer: 2\/3, d, -0.9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uuujjuj.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxa when three letters picked without replacement from ggnjaxrrx.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1513, 2993, 4473?\n\"Answer: 1480*f + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -5*o + 8772, -5*h = -3*o + 2*o + 1772. Let i = o + -15695\/9. Let m = 6421\/10 - 653. Calculate the common denominator of i and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7260, 7222, 7144, 7014, 6820, 6550?\nAnswer: 6192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.18 in 26, 19, 0.3, -0.2, 14?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*d + 5*d - 3*d - 4*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -55 - -54. Which is the closest to g?  (a) 0  (b) 5  (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**2 + 1. Let t = 104 - 100. Let j = 6 - 11. Let v = j + t. Let u(y) = y**2 - 1. Determine v*k(f) - u(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the second derivative of -423*d**5\/20 - 353*d**4\/12 + 244*d. Find the third derivative of h(m) wrt m.\nAnswer: -2538","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + 3 + (-2 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 20 - 17. Suppose y - m - 16 = s*m, -m = 2*y + 4. Is 1\/3 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (-2 - 205\/(-45)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4428*n**2 - 22079*n**2 + 4421*n**2 - 1 + 4398*n**2 + 4419*n**2 + 4419*n**2.\nAnswer: 6*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 43 + 96 + q + 68.\nAnswer: q + 207","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -9*d - 25. Suppose -p + 8 = 2*c, 4*p = 5*c - 10 + 29. Suppose 18 = -2*s - p. Calculate the remainder when b(s) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2223249649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 246*p - 232*p - 70 = 0. Solve g + 24 = -p*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + (-16 - -52) + (-6 + (-3 - -16) - 4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 0*a - 6 = 0. Let c(k) = -k**a - 2*k**2 + 11*k**2. Let t(y) = -1926201*y + 2*y**2 + 1926201*y. What is c(t(x))?\nAnswer: 32*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 39*t + 881. What is the remainder when s(20) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 7*m**2 + 657*m + 15492. Determine n(-46).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -82 * -0.141564\nAnswer: 11.608248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -129, 267, 222 in decreasing order.\nAnswer: 267, 222, 10, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.0996 - 0.144. Let r = p - -0.03. What is r rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 90.05332*-18\nAnswer: -1620.95976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1055543423 (base 6) to base 4.\nAnswer: -230312000013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -17867*q - 10217. Let r be v(-151). Round r to the nearest 10000.\nAnswer: 2690000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 591867 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 119 = -9. What is the greatest common factor of w and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 421327038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 times 815.1?\nAnswer: 81.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.5  (b) 0.4  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -239 + 1670\/7. Which is the biggest value?  (a) 4  (b) 5  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 221 (base 11) to base 4\nAnswer: 10021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -7a0361 (base 13) to base 16\nAnswer: -2c067f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1742.\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1dd42 (base 14) to base 6\nAnswer: -1351022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -13205188, -26410371, -39615554, -52820737?\n\"Answer: -13205183*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -27*g - 21. Let n be t(-2). Let a(f) = 6*f**3 - 11. Let p(k) = -2*k**3 + k**3 + 2 + 0*k**3. What is n*p(w) + 6*a(w)?\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 26\/4 - 6\/(-4). Let p = k - 1. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2125 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 1522*g - 18268. Determine n(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 44, 91, 124, 137, 124, 79, -4?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 10, o: 2}. What is prob of sequence ottt?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/261588 and 41\/2631?\nAnswer: 229412676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k = -5*a - 175, -13*k = a + 83 - 344 - 222 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f**4\/5 - 2*f**3\/5 - 4*f**2\/5 + 8*f\/5 = 0. What is f?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**13*t*t**(-1)*t assuming t is positive.\nAnswer: t**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -143*b - 1290. What is q(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -135847*d**5 + d**4 - 24*d**3 + 3*d**2 - 211*d - 661.\nAnswer: -8150820*d**2 + 24*d - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ded when three letters picked without replacement from {e: 12, d: 6}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -93, -14, 16, -2, 2 in ascending order.\nAnswer: -93, -14, -2, 2, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add together -22551373 and -1.\nAnswer: -22551374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-196)\/(-42) + 2\/6. Suppose -1 - 11 = 2*v + 2*i, t*v = -3*i - 26. Let f be (v\/30)\/((-116)\/20). Is 0 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6 + 10. Let n = -701 + 700.9. Which is the nearest to n?  (a) -0.2  (b) p  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -21*p - 20. Let f be g(6). Let b = 148 + f. Let 4\/5 + 2\/5*k**b + 6\/5*k = 0. What is k?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.5107 - -0.3841. Round x to one dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - -65) + -2629 + 2456?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:13 AM and 7:10 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 8 = -0. Let s be ((-9)\/18)\/(r\/(-12)). Solve 2*v = s - 11 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7110667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/16 of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1871.\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 h, and 2 a when four letters picked without replacement from {a: 5, z: 4, h: 1, l: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 3*g - 2710 + 1014 = 0, 0 = p + g - 344. Let c = 362 - p. Solve 0 = c*y - 19*y + 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in thirty-one fifths of a milligram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.7 + -2. Suppose 3*y = t - 0*y + 2, -4*t + 5 = y. Sort g, t, 0.1.\nAnswer: g, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 18*q**4 - 51 - 2*q**2 + 51 + 3*q**3 + (4*q + 7*q - q)*(-2*q + 2*q - q)*(-2*q**2 - q**2 + 2*q**2) as h*q**3 + v*q + j*q**4 + n + a*q**2 and give j.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 857041160?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -54*o**3 - 64 + 63 - 109*o**3 to y*o + t + i*o**3 + c*o**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1194043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 2*o**3 - 17*o**2 + 43*o + 17. Let h(n) = -n**3 + 6*n**2 - 15*n - 6. Determine 17*h(l) + 6*k(l).\nAnswer: -5*l**3 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14774 = 70*h - 17854 for h.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 2 + ((1 + sqrt(4500))*-4 - (-3 + sqrt(4500) + 3 + sqrt(4500))))**2.\nAnswer: 1800*sqrt(5) + 162025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes before 10:29 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 28517 + 17046. Let s = 31530 + 5907. Let r = a + s. What is r rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 7 = -2*c, -4*c + 21 = -0*c - s. Solve 33*b - 6*b = -c*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 137 + 128 = 0. Solve 11*g + 8 = 10*g - 4*u, -g - t*u - 5 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 16\/10 - 1 - 77\/(-5). Solve 6*i = 2*i - q for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**3 + 14*y**2 - 11*y - 19. Let f be v(13). Let u be (4\/6)\/((-1)\/(-3)). Let n = u - f. Sort 0, n, -2 in increasing order.\nAnswer: n, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 33, 69, 103, 135, 165?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t\/t**(-1\/9))\/t)\/t*t**(-10)\/t*t)\/(t**(-2\/5)*t*t**(-3\/8)*t*t) assuming t is positive.\nAnswer: t**(-4721\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 z and 1 q when four letters picked without replacement from zzqqzzzqqqzq.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6 and 0.03651?\nAnswer: 0.21906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2\/9, 9, -11259?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18014.\nAnswer: 2, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -17 + -40?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 133*o + 330 = 138*o. What is the remainder when 273 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 3*l - l = 93, 55 = 3*x + l. Let r(s) = s**3 + 8*s**2 - 11*s + 12. Let q be r(-9). Let o = q - 21. Calculate the remainder when x is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-3)\/(-24))\/((-170)\/(-68)). Which is the biggest value?  (a) -12  (b) o  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 c, and 1 r when three letters picked without replacement from {r: 3, n: 1, b: 5, c: 2, y: 5, o: 4}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94*w - 431890 = 1197506. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 0*m**2 + 3*m**2 + m**2 - m + m**3 - 3 - 4*m. Suppose 10 = -2*t - 4*y, 2*y + 3 + 22 = -5*t. Let k be z(t). Is -1 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 3 y when four letters picked without replacement from {z: 1, d: 5, y: 3}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3\/4 + (-9)\/12. Let t(r) be the third derivative of 1\/8*r**4 - 1\/6*r**3 - 1\/20*r**5 + 1\/120*r**6 + 0 + i*r - r**2. Suppose t(h) = 0. Calculate h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-55)\/(-176)*8)\/((-5)\/(-30))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 290917693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -5, 1\/8, -2\/5, 0.1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(320)*-3 - sqrt(320))\/((sqrt(10) + (sqrt(70)*1)\/sqrt(7))*6).\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1940*o**3 + 206948*o**2 - 277776*o = 0. Calculate o.\nAnswer: -108, 0, 643\/485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8480356\/3 or 1\/2?\nAnswer: -8480356\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 341 + -66565?\nAnswer: -66224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -22 + 42. Suppose -22 = -k + u. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6574 - -12255. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19 is divided by 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(288) + -4 - (sqrt(20)\/(sqrt(2) + sqrt(72)))\/sqrt(5).\nAnswer: -6 + 83*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u**2 - 28*u - 188. Determine k(-6).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*y - 1455 = 165. What is the lowest common multiple of y and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**2 - 6*l - 4. Let s be z(-3). Suppose s*c + 5*w - 155 = 0, 2*w - 41 = 5*c - 168. Let u = c - 16. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 + -20121122001202?\nAnswer: -20121122001221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 167 divide 2109043?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*((v**(2\/9)*v*v)\/v)\/v)**(-8)*(v**(-2\/3))**(2\/13))**(-23\/6) assuming v is positive.\nAnswer: v**(13294\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 204.67 to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**2 + w + 1. Let y(m) = -m**2 + 4*m. Calculate -3*l(i) + y(i).\nAnswer: 2*i**2 + i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 4 = 5, -3*x + v + 60 = 0. Let t be (-3)\/6 + 3\/(-2). Calculate the remainder when x is divided by 7 - (t + (-6)\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101 (base 2) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1*464)\/(2\/150). Suppose -g - x = g. Round g to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2279*t + 12660 + 1413*t**4 + 1640*t**4 - 12660 - 898*t**4 wrt t.\nAnswer: 25860*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 0\/2 - (11 + 14 + -19)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 4*d**2 - 3*d + 7. Let a(s) = -8*s**2 + 7*s - 13. Let h(v) = 3*a(v) + 7*o(v). Differentiate h(r) wrt r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 3*b**3 + b**2 - b - 4. Let q be j(-3). Let y(n) = 23*n + 195. Let f be y(-13). Let z = q - f. List the prime factors of z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3156420 a multiple of 372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*d**4*x + 14*d**2*x + d*x + 14*x - 2 wrt d?\nAnswer: -48*d**2*x + 28*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.165 to 2 dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5\/9 - 1\/9. Let k = -37 - -39. Let n be (9\/k)\/((-27)\/(-18)). What is the nearest to 2\/9 in u, n, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 391, 371, 337, 283, 203, 91, -59, -253?\n\"Answer: -x**3 - x**2 - 10*x + 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 29, 3, -7.\nAnswer: -7, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 2, a: 10, f: 4, y: 1}. Give prob of picking 1 f, 2 a, and 1 y.\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.05536089 to three decimal places.\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = 2*c - 44, 6*c - c - 68 = -4*o. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -52 + 55. Let m(j) = j - 3*j**2 + 1110*j**3 - 1109*j**f + 2*j. What is the lowest common multiple of 20 and m(4)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 577 is divided by 49.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 280\/(-70)*(150\/(-400))\/((-6)\/76*-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12 - (1 - 18)) + -3 + 13.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 108 divide 22140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1060.8013762 - -1060.8. What is a rounded to five decimal places?\nAnswer: -0.00138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 122 + -120. Let b = -402.1 - -402. What is the nearest to d in 0, -3, b, -4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.786 to one decimal place.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*v + 5654 - 5774 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x**2 - 4*x**2 + 3*x**2)*(x + 3*x - 5*x) - 8*x + 8*x - 4*x**3 + 254*x**3 + 258*x**3 - 2 + 2.\nAnswer: 510*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 4 - 4 + 1962671*x + 5*x**2 - 1962674*x. Let a(y) = -4*y**2 + 3*y + 1. What is 4*a(i) + 3*r(i)?\nAnswer: -i**2 + 3*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**3 + 12*r**2 + 12*r + 18. Let b be w(13). Suppose 74 + 26 = b*l. What is the lowest common multiple of 2 and l*3\/(-12)*-2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 + 16\/9. Put 5, -1\/4, i, 3 in ascending order.\nAnswer: -1\/4, i, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1257483.9 to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h*h**(-2\/25)\/h))\/(h**(-1\/6)*h*h) assuming h is positive.\nAnswer: h**(-113\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.3 - -0.9. Let p = x - 0.2. Which is the closest to -1?  (a) p  (b) 3  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1623473505.\nAnswer: 3, 5, 29, 1244041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -969, -1, 3, 5, 2 in decreasing order.\nAnswer: 5, 3, 2, -1, -969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1039\/4 - 0 - 24\/(-96). What is p rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -30886 - -4f0?\nAnswer: -30396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -59.8 + 60.1. Sort 38, 1, p in increasing order.\nAnswer: p, 1, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/5*-1*(-10)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 630*u**3 + 575?\nAnswer: 1890*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 34*u**3 - 943*u**2 - 32*u**3 + 2 + 947*u**2 + 46*u to c*u**2 + a*u + x*u**3 + i and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 391394 and 782788.\nAnswer: 782788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 57592*-0.2.\nAnswer: -11518.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2193232*l**4 - 2*l**2 + 497674?\nAnswer: 52637568*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 1035, -5, -4, 368, -0.1 in descending order.\nAnswer: 1035, 368, 0.5, -0.1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most -4\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -3*g + 1442, -8*g + f + 2402 = -3*g. Suppose -2*q + 150 = 3*x, -3*q + 3*x + 114 + 36 = 0. What is the greatest common factor of q and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 97424687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1743 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(60) + sqrt(180)\/(1*sqrt(3)))*-1)\/(sqrt(48)*3*-5).\nAnswer: sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -3, -7 in descending order.\nAnswer: 0, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.131 - 2.131. Put 2, 4, 0.5, y in descending order.\nAnswer: 4, 2, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/936308 and -24\/20741.\nAnswer: 6554156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -6591370*(2\/(-70))\/((-434)\/(-1519)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 489?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -3 + m - 3 + 6. Let t(z) = -5*z + 29 - 39 + 8 - 71*z. Calculate t(b(n)).\nAnswer: -76*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-four fifths of a millimeter in micrometers?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20, -1\/2, -0.06.\nAnswer: -1\/2, -0.06, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-20)\/(-3))\/(6 + (-2245)\/375). Suppose -201*l + 200*l + f = 0. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-27)\/(-3 - (-5 + (-17 - -18)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + -59 + 47 + 50 + -5.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the second derivative of -164*u + 0 + 5\/6*u**3 - 181\/12*u**4 - 11\/2*u**2. Find the second derivative of n(i) wrt i.\nAnswer: -362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 - 2. Suppose 3*j + 8*h - 265 = 4*h, -3*j - g*h + 257 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-8)*10*1*(-975)\/125\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 bigger than 304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-79)\/18*-4 - 18\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2488*v + 178*v - 465*v to j*v + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from qkkkqkkkkq?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 27398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1506901170 to the nearest integer?\nAnswer: 38819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 + 11112021202001?\nAnswer: 11112021201222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 7242270 divided by -2414090\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(-2) + 7\/2. Let m be 4\/(-1)*l\/(-6). Suppose -4 = -3*w + m. Solve 2*b + 8 = -w*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 0 - 14*l**2 + 7*l**2.\nAnswer: -7*l**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000081 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 36118.22 - 34648. Let y = -1454 + p. Let n = y - 17. What is n rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (-3 - 0 - (115 + -118)) - 11\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**3\/8 + 123*i**2\/8 - 5043*i\/8 + 68921\/8.\nAnswer: -(i - 41)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2222202212 (base 3) to base 8.\nAnswer: 163003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1*38\/8*-4. Suppose 0 = -21*r + u*r + 162. Does 19 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 32 in -123, -3, -1, -41?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 68\/57 and -16\/160113?\nAnswer: 160113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*0.38159.\nAnswer: -2.28954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 43773777 and 170658.\nAnswer: 87547554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -12.608177 to one dp.\nAnswer: -12.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2731038 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1996 - -367. Calculate the greatest common factor of 34 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 103323 by 31.\nAnswer: 3333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = i - 267, -v = -4*i + 7*i - 773. What is the remainder when i is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 e, and 1 k when three letters picked without replacement from {c: 1, i: 5, k: 3, e: 4}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -1 * -764\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1915791 by -638597.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Let t = 9 + -7. Solve -t*g + g = -3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1000 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**2 + 25*m - 59. Calculate n(-27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, h: 3, u: 2, g: 1, f: 11}. Give prob of picking 2 h.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -193*w + 1270 = -66*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9902610, -9902605, -9902598, -9902589?\nAnswer: -9902578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 26989316633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -29\/3 - -325\/33. What is the nearest to -2\/5 in 2\/15, h, 2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, 1, 11, 5 in ascending order.\nAnswer: -8, 1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/2 of a micrometer in nanometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 18*v**2. Let c(r) = 20*r**2 - 2*r + 3. Let f be c(4). Suppose 0 = -0*b + b - f. Let h(y) = -315 + b + 2*y. What is j(h(x))?\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.7 + 38.1213.\nAnswer: 38.8213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 89*r - 5515. Give h(62).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 11*n - 7*n + 260, 65 = v - 2*n. Calculate the remainder when v is divided by 38.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - -1 - (-120 + 125).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -10  (b) 1\/4  (c) 2\/99  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 153*k + 9420 = 781*k for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 230073 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 4*m = 6, 0*b + 5*m + 35 = 3*b. Solve -b*p = -g + 2 - 1, 3*g + 15 = -3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(2496) - (sqrt(2496)*1 - sqrt(2496)))\/(3*-5*sqrt(108)*3).\nAnswer: -4*sqrt(13)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -v + 5. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((5 - 3 + 0)*(-2 + u + 2) + 4*u + 4*u - 6*u)*((u + u - 4*u)*(-1 + 3 - 1) - 4*u + 3*u + 2*u + 6*u + 16*u - 4*u).\nAnswer: 68*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3.5 + 3. Let p = 4.1 + -4. Let g = -0.2 - -0.1. Which is the closest to g?  (a) l  (b) 0.2  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -689, -2\/23, 5, 0.2, 0.51 in descending order.\nAnswer: 5, 0.51, 0.2, -2\/23, -689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -243, -253, -263, -267, -259?\n\"Answer: h**3 - 6*h**2 + h - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -218 - 178. Let q be ((-444)\/m)\/((-1)\/117). Let v = q - -131. Which is the smallest value?  (a) v  (b) -5  (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 304*y + 1790 + 6961 - 1151 = 0 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 769444616?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) 1\/3  (c) 2\/107  (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f = -3*f - 30 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 184*h - 191*h = -42 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 32, -4058, 0.3?\nAnswer: -4058","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 29550402493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4820 + 4817. What is the nearest to -0.2 in -2, 773, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 139.9 times 1.33\nAnswer: 186.067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -11*d + 7. Let w(q) = 14262*q. What is w(h(c))?\nAnswer: -156882*c + 99834","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8203 is divided by 89.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -12*t**2 + 249*t + 68. Determine u(9).\nAnswer: 1337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2448) - (sqrt(2448) + 2 + sqrt(2448)))**2 + -5.\nAnswer: 48*sqrt(17) + 2447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) - (sqrt(22)\/(sqrt(2) - sqrt(32)))**2)*-6.\nAnswer: -6*sqrt(11) + 22\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*b = 4*i + 13*b - 7, i = b + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ninety-one halves of a microgram in nanograms?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -2*x**3 - 19*x**2 + 20*x + 80. What is the thousands digit of o(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the first derivative of -11*x**5\/5 + x**4\/4 + 106*x**3 + x**2 - 74. What is the third derivative of h(a) wrt a?\nAnswer: -264*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 69651?\nAnswer: 3, 71, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, n: 2, w: 2, u: 1}. What is prob of picking 1 y, 1 w, and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 2*w. Let b(g) be the third derivative of 1\/4*g**4 + 0*g**3 + 0*g + 0 + g**2. What is b(n(m))?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ixiiticisjssitts. What is prob of picking 2 t?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*g + 6*g - 2*g)*(14 + 2 - 5)*(0 - 1 - 1) in the form p*g + n and give p.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -2*a. Let u(c) = -135*c**2. Suppose 18 = 3*m + 6. Let w(n) = -55*n**2 + 16*n**2 - 6*n**2. Let r(p) = m*u(p) - 11*w(p). What is t(r(q))?\nAnswer: 90*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 52, 46, 38, 28, 16, 2, -14?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -127 - 82867236.\nAnswer: -82867363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1972.705568 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19007007 is divided by 330?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -94287904 divided by 7244?\nAnswer: -13016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15 - (230\/15 + 0))*-21?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 10209986580 to the nearest one million.\nAnswer: 10210000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (-12 + 1 - -6 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 426128695 to the power of 1\/3, to the nearest integer?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 185 + 45 = 0. Let t = o - 43. Solve 0 = 4*n - 0 + 12, t*b - 3*n = 18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2249820*z + 749943*z + 749928*z + 749947*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 172 minutes before 9:03 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42456377.\nAnswer: 29, 331, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15167345 to the nearest integer?\nAnswer: 3895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 4*i - 36 = t, -3 = -t + 3*i. What is the greatest common factor of 30 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 2*b**3 + 208*b**2 - 209*b + 198. Suppose 8 = v - 13. Let a = v - -3. What is the remainder when i(-105) is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.01 - 4.01. What is the third biggest value in -2\/3, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*v - v + 50*v)*(3*v - 2*v - 2*v) + (0*v - 3*v + 2*v)*(-v + 89 + 119 + 285) in the form w*v**2 + o + z*v and give w.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the second derivative of 0*v**2 - 6*v + 0 + 14\/3*v**3. Let f(n) = -3*n**2. Determine f(o(j)).\nAnswer: -2352*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 2*d**3 + 8*d**2 + 42*d + 5. Let r be p(-5). What is r rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*r**3 + 63*r**2 - 36*r - 33.\nAnswer: 3*(r - 1)*(r + 11)*(2*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -47\/4, 1\/3, -4, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -4*s. Suppose -5*q + 10*q = s. Suppose 0*j = 5*j - 10, -3*g + 4*j + 58 = q. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 28 + 16a5?\nAnswer: 16cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 178 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 33 = -4*a, 3*a = 2*k + 26 - 4. Let m(q) = -3*q - 16. Let b be m(a). Let d be ((-9)\/6)\/((-75)\/b). Which is bigger: d or -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 - 2 + 1)*(0 + 0 - u) - 2*u + u + 2*u)*(-3*u + 4*u - 2*u)*(2 + 1 - 2)*(8 - 6 + 7).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = 8*a - 12. Factor -2*y**5 + 30*y**2 + 9*y**a + 3 + 15*y**4 - y**5 - 39*y**3 - 15*y.\nAnswer: -3*(y - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2799631 - -5?\nAnswer: -2799626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 72\/13*b**2 + 76\/13 - 150\/13*b + 2\/13*b**3.\nAnswer: 2*(b - 1)**2*(b + 38)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56 = 2*u + 54. Solve u = 7*y - 20 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 48 and 160.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6\/29 in 29.23, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 266.57 + -266.515. Which is the smallest value?  (a) -10  (b) -2  (c) 3  (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23317?\nAnswer: 7, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3238 (base 16) to base 14.\nAnswer: 4984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9 - 6. List the prime factors of 26 + 1 + -1 - k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 523.836, 34, 10 in decreasing order.\nAnswer: 523.836, 34, 10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 331\/2307 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 1757893*p. Let q(r) = 114*r. What is q(b(l))?\nAnswer: 200399802*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 1\/4, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 81 + -80.67. Let k = a + 0.27. Sort k, 2, 3\/7.\nAnswer: 3\/7, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 140\/80*3\/(-21).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (32\/(-20))\/(1\/(10\/(-4))). Let c(b) = -b**3 + 5*b**2 - 3*b + 1. Let x be c(z). What is the highest common factor of 40 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/334 and 23.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43 + 109 + (4 - 23).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let f = -201\/13 - -1044\/65. Suppose 12\/5*g**2 - 12\/5 - f*g**3 + 3\/5*g = 0. Calculate g.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-72)\/2 + (483 - 458)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-6))\/(4\/(-24)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((108\/(-120))\/(189\/(-45)))\/(24\/476)?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.07 and -46965.7.\nAnswer: -46965.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:10 PM and 11:11 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3111308 centuries in months?\nAnswer: 373.35696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -38*x + 77547 + 2367. Suppose -10*n - x = -13*n. List the prime factors of n.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1523, -1066, 171, 2578, 6545, 12462, 20719, 31706?\n\"Answer: 65*i**3 + 2*i - 1590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -96 (base 13) to base 6.\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-25)\/((-44)\/(-4)*20\/(-2420)*-11)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 251, 1091, 1931, 2771, 3611, 4451?\n\"Answer: 840*j - 589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 15261\/4 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.9574 * -4.\nAnswer: -11.8296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 202, 332, 462, 592, 722, 852?\nAnswer: 982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, a: 3, j: 4}. What is prob of picking 2 a?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 + -5. Let l be -22 - -5 - (k - 0). Let d be (-4)\/3*(-3)\/l. Sort 2, -0.2, d.\nAnswer: d, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1128, 1692, 2242, 2772, 3276, 3748?\nAnswer: 4182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -421*x + 423*x - 2, 2*g - 4*x + 24 - 14 = 3*g + x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -75468*s**4 + 5*s**3 + 25416519*s?\nAnswer: -905616*s**2 + 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 9\/(45\/242) + -3*1. Let s = r + -45. What is k in 2\/5*k**2 + 0 - s*k = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2346182?\nAnswer: 2, 61, 19231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a + 4 = 0, 3*a = 5*u - 0 + 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 70 + -66. Let o(z) = 2*z**2 - 7*z. Let r be o(f). Suppose -s - 8 = -u, -r*s + 4*u = u + 33. Let b(j) = j**3 + 9*j**2 + 2*j + 13. Give b(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 48615 and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -15*w + 18. Let j(q) be the third derivative of q**4\/8 + 3934*q**2. Determine c(j(l)).\nAnswer: -45*l + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*m - 460 + 998 = -762. Solve 63*z = m*z + 99 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 26651960 to the nearest integer?\nAnswer: 5163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -265226*-0.5.\nAnswer: 132613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 190 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7196646066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x + 3*x = 267. Let k = -27 - x. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(4*sqrt(567) - sqrt(567))**2.\nAnswer: -15309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/77, -3\/10, 3, -5 in descending order.\nAnswer: 3, -3\/77, -3\/10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 108 - 74. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 - 5. Let t(u) = v*u - 2*u**2 + u + u**2 + 0*u. Determine t(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -99.92 - -104.92. Which is the third biggest value?  (a) -1.925  (b) w  (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 109\/3 + -760\/21. Let d = -2 - -2. Let r = d - -1. What is the closest to r in t, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 10 + 9\/(-3) - (4 - 6). Suppose 5*n + p - 324 = 0. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -10*f - 48. Let b be l(-5). Let o(y) = 3*y - 1982 - 4*y**b + 5*y**2 + 1975. What is o(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a027 (base 16) to base 15.\nAnswer: -c234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**2 + 1. Let d(h) = 6*h**2 - 8. Let s(r) = r**2 - 1. Let n(u) = d(u) - 4*s(u). Let v = -13 + 17. What is v*f(q) + n(q)?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 588170 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 7123156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -379 - -433 - (-4 + (-3 - -19)). Suppose 2*m = 3*m - 42. Is o greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10735\/339)\/(10\/(-12)*13\/39).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:26 AM and 11:02 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 276*z - 109. Let d be (-64)\/(-18) - 16\/(-36). List the prime factors of b(d).\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*w**2 + 5*w**2 - w**2.\nAnswer: 22*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 6*z. Suppose z = 4*w - 5*o - 35, -6*w + 23 = -2*w - o. Suppose -w*p = -225 - 130. Calculate the remainder when p is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven halves of a year in months?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/4?  (a) 10  (b) -0.1  (c) -0.3  (d) -2\/5  (e) -2\/3339\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 904512 and 24816.\nAnswer: 467632704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 92170 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 102375656, 102375657, 102375658, 102375659, 102375660?\nAnswer: 102375661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -30605\/22 - -1393. Find the common denominator of 219\/2409*(2 + 18\/4*9) and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(78)*1 - sqrt(78))*1)\/sqrt(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-420)\/(-80))\/(-9*(-2)\/(-48)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -13*w. Let z(h) = h. Give r(z(m)).\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/9 - ((-15532)\/(-429) - 34)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -29 - -28. Let z = 11 + x. What is the highest common factor of 110 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -17*a - 1. Let z = -4719 + 4751. Calculate the lowest common multiple of z and l(-1).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 + 19. Let h(u) = -7*u - w*u + 0 - 1. Is h(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2220200100 (base 3) in base 2?\nAnswer: 1110000000001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 34481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000522472 to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0\/((-1)\/((-4)\/(-12))). Put -1, k, 5 in decreasing order.\nAnswer: 5, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**3 + 6*g**2 + 4*g + 4. Let i = -16 - -10. Let c = i - -1. Determine l(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2029.5, 21, 0.4?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**3 + 835*o**2 - 181187*o + 2843777.\nAnswer: -(o - 409)**2*(o - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 88\/(-6) + (-16)\/(-24). Let c = u + 18. Suppose 3*i + c*g - 86 = 90, i - 3*g = 76. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 365, -0.02, 5, 0.5?\nAnswer: 365","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 + 107. Let q = a - 50. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p**2 - 235*p + 158 = 0. Calculate p.\nAnswer: -79, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-729*y - 344*y + 140*y - 50*y - 1005*y)*(0*y**4 + 2*y**4 - 4*y**4).\nAnswer: 3976*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 9*x + 10 - 19*x.\nAnswer: -10*x + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12640 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9)\/21)\/(36\/126)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 107504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2495*o**3 - 2493*o**3 + 14926*o**3 - 2498*o**3 - 2494*o**3 - 2492*o**3 - 2486*o**3.\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/5 - ((-4700)\/(-235) + 284\/(-10)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1402 - 6?\nAnswer: -1408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2948 - 2593. What is the highest common divisor of 20 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 99 a factor of 56595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 4*b - 2 = 16, 0 = c - b - 21. What is the greatest common divisor of c and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (9\/(-6)*-1)\/1. Let g be (39\/(-18) + 2)*2. Let k be 3*(-2 + (-560)\/(-276)). What is the second biggest value in l, k, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(52)\/(1*sqrt(4)) - (sqrt(26)\/sqrt(2) + -3)**2) + 4*(sqrt(117) + -4).\nAnswer: -38 + 19*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 101801 and -24?\nAnswer: -2443224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 613*s - 267*s - 170*s.\nAnswer: 176*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/7  (b) -1  (c) 1\/3  (d) -4  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7853412\/5 + -1570682. Find u, given that 12\/5*u**3 + l*u**4 - 6\/5*u**2 - 8*u - 24\/5 = 0.\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 3*a**2 - 18*a + 53. What is r(3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 121 by 5.\nAnswer: 121\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (412\/309)\/((-12)\/(-18)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 13*g**4 + 6*g**2 - 36*g + 6. Let s(z) = 27*z**4 + 13*z**2 - 73*z + 13. Let c(u) = 13*r(u) - 6*s(u). What is the second derivative of c(q) wrt q?\nAnswer: 84*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 10 = 26. Let z(d) = -8*d**2 - d - 2. Let c be z(2). Let p be (0 - o)*(-24)\/c. Let l(j) = -j**3 - 6*j**2 - 2*j - 6. Calculate l(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6 (base 15) to base 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 237 * 6.\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*m**3*n*v**3 - 75301*m**3*n*v - 2*m**3*v**3 + 2*m**2*v**3 - 172*m + 1 wrt n.\nAnswer: -2*m**3*v**3 - 75301*m**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 4, m: 8, d: 1, u: 2, y: 4}. Give prob of picking 2 u and 2 k.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -3*v**2 + 3*v + 5. Calculate l(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 7*l - 13. Let v(c) = -14*c + 26. Let f(t) = 6*v(t) + 11*z(t). Let h(u) = -8*u + 14. Let s(i) = 4*f(i) - 3*h(i). What is the tens digit of s(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*j**2\/7 + 8616522*j\/7 - 25849377 = 0. What is j?\nAnswer: 21, 2872153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -184.3, -1\/2 in ascending order.\nAnswer: -184.3, -1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 times 5093?\nAnswer: 2500663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -174 + 175. Which is the nearest to o?  (a) 2  (b) 3\/7  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 8 = 0, -3*k + 2 = -h + 6. Let d be ((k - -2)\/1)\/(-1). Is -1\/36 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 4*t - 4. Is 10 a factor of f(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*z - 6. Find the common denominator of -91*z\/(-32) - 3 and 45\/(-28) - (-6)\/(-24).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -41\/289 - -162416\/2023. Let p = 80 - j. Which is the closest to -2\/3?  (a) 1  (b) p  (c) -1  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1 - (78\/18 + -5). What is the closest to -1\/4 in -1.3, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 346658236 and 452?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 3 d when four letters picked without replacement from dbbdddb?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.0483?  (a) -0.4  (b) 1  (c) -21  (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 3*c**2 - 2*c. Determine a(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 53483501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the third derivative of i**6\/1800 + i**5\/120 - i**4\/20 - 29*i**3\/6 + 24*i**2. Let y(f) be the first derivative of k(f). Suppose y(o) = 0. What is o?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + 103665040453?\nAnswer: 103665040458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -22*d**3 + 9*d**2 + 9*d - 9. Let n(x) = -x**3 + 3*x**2 + 3*x - 1. What is -2*b(r) + 6*n(r)?\nAnswer: 38*r**3 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 229629104 take away -2586393?\nAnswer: 232215497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 426*a*d - 12824*a - 43386690*d - 2 wrt a?\nAnswer: 426*d - 12824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (23 - (7 - 4)) + (21 - 7 - 15).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -19*v + 145. Calculate s(9).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (294*q - 563 + 563)*(5 + 2 - 2 + 9).\nAnswer: 4116*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 5 = 7*y. Let w be -5 + (-1 - -1) + y. Let z = w - -12. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -1 + 1 + 0 + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j. Let i(o) = -166211*o**2. What is i(m(u))?\nAnswer: -166211*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 26?  (a) -7  (b) -2.22  (c) 4\/5  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 174689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = 4*w - 40 - 6, 2*s + 52 = w. Let x be s\/(-2) + 21\/(-42). Calculate the greatest common divisor of 91 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 2*o**2 - 10*o - 94. What is the remainder when l(-8) is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3311694 and 2008.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 22, 22, -12, -98, -254, -498?\nAnswer: -848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 187, 182, 167, 136, 83, 2, -113, -268?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 59 + -57.92. Let o = -0.78 + u. What is the second smallest value in 7\/3, -5\/4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes after 7:30 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-1)*r*r*r\/(r\/(r*(r*r**1)\/r))*r)\/(r\/r**(1\/8)*r**(-2\/7)*r) assuming r is positive.\nAnswer: r**(135\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 24500 and 196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 132777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*q - 1907 + 1885 = 2*i, -q - 14 = 4*i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -0.5, -0.15, 0?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -4, 6, 36, 86, 156?\n\"Answer: 10*y**2 - 20*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = 68 - 58, 5*w = 4*g - 1824542. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-26)\/(-156)*(-18)\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j - 2*o - 536, -6*o = j - 4*o - 149. Calculate the remainder when 291 is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3\/17  (b) -1\/3  (c) -2  (d) 6\/5  (e) 3  (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -159842*q**6 - q**2 + 27120 wrt q.\nAnswer: -19181040*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*c**3 + 23*c**3 - 16*c**3 - 6*c**3.\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(175)*1 + 0 + sqrt(175))*5 + (sqrt(175) - (sqrt(175) + -2 + sqrt(175) + 3))**2 + 0 + 3.\nAnswer: 60*sqrt(7) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Round -0.00472883 to 6 decimal places.\nAnswer: -0.004729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (1036\/(-185) + (-10)\/(-2))\/((-4)\/24)\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -13*y + 31. Let k(r) = r + 12. Let h be k(-15). Calculate the remainder when v(h) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 115212 and 422444.\nAnswer: 1267332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 160*p + 1 = -i + 159*p, -3*p - 11 = -i. Solve 0 = i*u - 5*k - 6 - 0, -4*u + 2*k = 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 111 - -310?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1057 - 517 = 45*k. Solve 3*g + 4*o + 28 = 0, g + g + k = -o for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 180*a - 1651*a - 562*a = 103*a - 102528 for a.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 j when two letters picked without replacement from {z: 1, k: 2, u: 1, g: 2, j: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 3 - s**2 + 4*s**2 + s**3 + 0*s**3 to d*s + p*s**3 + j + h*s**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, 3, 0.4, 2, -7, 111, 4 in descending order.\nAnswer: 111, 4, 3, 2, 0.4, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 1392*w - 2622. What is the units digit of f(21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1722*x**3 + 3450*x**3 - 1131*x**3.\nAnswer: 597*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 793492 is divided by 88?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nex when three letters picked without replacement from nejkjekdx.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -1781, 0.0717, -4?\nAnswer: 0.0717","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 3*p - 53 = 0, -4*j - 407*p + 83 = -412*p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.08 times -14.8?\nAnswer: 1.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 minutes before 6:13 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1835 + 1826.67. Let i = -1.04 + s. Round i to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 434 = 17*n + 553. Let r(v) = -2*v**2 - 8*v + 1. Let x(t) be the third derivative of -t**5\/30 - 3*t**4\/8 + t**3\/6 - 6*t**2. Give n*r(j) + 6*x(j).\nAnswer: 2*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-14)\/(-5) + (-3)\/(-15). Let q(f) = -f**2 + 7*f + 2. Let x be q(7). Suppose o*j = -x*j. Solve j*h - 2*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1450*m - 120 = 1438*m. What is the least common multiple of (6\/4)\/((-2)\/(-4)) and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-6))\/((-122)\/(-549)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -14357 - -1?\nAnswer: -14356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11575 is divided by 500.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u**3 - 6349940*u**2 - 317504500*u - 3968837500 = 0. Calculate u.\nAnswer: -25, 1587535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.204 - -0.204. Let p = 36\/7 + -166\/35. What is the biggest value in p, 0.12, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/19, -250\/11, -3\/37, 2\/13 in descending order.\nAnswer: 2\/13, 2\/19, -3\/37, -250\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 145\/46506 and 149\/2964.\nAnswer: 22973964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 985213923?\nAnswer: 3, 3467, 94723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 - q**3 - 17*q**2 - 33*q**2 - 2*q**3.\nAnswer: -3*q**3 - 50*q**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = -4*k - 3*u + 78, -u = -3*k + 52. Suppose 0 = -b - b + k. Solve 2 = -2*h, 2*h + b - 1 = -3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9 + -5 - 1) + -1 - (1 - 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7*110\/70 + 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -48.6 - -25.6. Let a = f + 27. Sort 0.1, a, -2\/7, -2\/13 in descending order.\nAnswer: a, 0.1, -2\/13, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u*(u\/u**8)\/u)\/u*u)\/(u*u**(-7)*u))\/((u\/u**5)\/(u**(-3)*u)) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19021069 + 19021069 - a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 9\/1168 and 19 - 13 - (-34269)\/(-5694).\nAnswer: 15184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 7.4299 from -31550321.\nAnswer: -31550328.4299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 + -5 + (-17 - (-3 - 8))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 270634163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 19*v**2 + v + 1. Let g be j(-1). Suppose -5*u = c - g, u - 17 = 2*u - 5*c. Suppose 33 = u*z - 3*s, 5*s - s + 4 = -z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3980 - 2644 = -16*d. Calculate the greatest common factor of 46 and d.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 175491430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 20406 + 1410?\nAnswer: 21816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -11\/4, -4, -2\/3, -2\/17, -9351?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -z + 4*f - 6*f + 12, -f = -5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 63 and 6?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12\/7 - 306\/7*r**2 + 54\/7*r**4 + 106\/7*r + 270\/7*r**3.\nAnswer: 2*(r + 6)*(3*r - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.5 - 1.261. Let k = c - -0.061. Sort k, 2\/7, -1\/4.\nAnswer: -1\/4, 2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3966, -15847, -35644, -63357?\nAnswer: -98986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b - 1. Let x(g) be the second derivative of -g**3\/6 + g**2 + 112*g. Determine -2*a(z) - 3*x(z).\nAnswer: z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 0.7, 1\/2, 1, 6, -442\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1578 (base 11) in base 8?\nAnswer: -3745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 7\/4 of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, -1, -2\/3, -453, 5, -5?\nAnswer: -453","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (19\/(-7))\/(389\/(-778))?\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r + 79283*f + 1 = 79286*f, -21*r = 3*f + 132 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 25*w**3 + 4*w**2 - w - 12. Does 28 divide u(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**2 + 4*i - 3. Let q be y(-5). Let x(r) = -2*r**2 + 5*r**2 - 4*r**q. Let u(b) be the first derivative of 2*b**3\/3 - 90. Give x(u(k)).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2467 divided by -28.\nAnswer: 2467\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 36 and 8556.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 7 = -t, -g = -4*t - 0 - 7. Let n(q) = 522*q**2 + 3*q + 1. What is the tens digit of n(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ei when two letters picked without replacement from {a: 1, f: 2, i: 9, m: 2, w: 4, e: 2}.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-8\/7)\/(l*((l*l**(1\/6)\/l*l)\/l*l)\/l)*(l\/(l\/l**6))**(2\/21) assuming l is positive.\nAnswer: l**(-73\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 + 4.6. Let w = 0.5 + -0.8. Let t = w - -4.3. Which is the third biggest value?  (a) n  (b) t  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 + 54*h**2 + 106*h + 351. Let i be y(56). Which is the closest to 0.2?  (a) -5  (b) 4  (c) i  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -4*w - 2*o + 8, w + 2*o + 1 = 0. Suppose 4 = w*j - 5*x - 11, 4*x = -j + 8. Solve -2*c + j*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1*(-1)\/7 + (-22)\/(-7). Suppose c + 4*c - 4*w + 4 = 0, w = 3*c + 1. Solve p = -n*p + l + 4, c = -4*p - 5*l + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p - 3402 = 3*q - 3393, -4*p + 4*q = 16 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -3, 903, -4, -68 in descending order.\nAnswer: 903, 5, -3, -4, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 238 - 202. What is the lowest common multiple of 40 and l?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 5*p = -5*y - 16, -23 = -5*p + 4*y. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the first derivative of 5*p**4\/4 - 3*p + 5. Differentiate g(y) wrt y.\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the third derivative of 0 + 1\/24*a**4 + 3\/20*a**5 - 1\/6*a**3 - 6*a**2 + a. What is the second derivative of x(o) wrt o?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 0.07, -3, 0.1, -3\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 186391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -2\/7, -10, -2\/9, 742 in decreasing order.\nAnswer: 742, -2\/9, -2\/7, -0.5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -17052 - 246*x**2 + 17052 in the form y*x**2 + a*x + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -33.2 + 33. Suppose -8*y - 25 = 7. Put 5\/7, 0.9, n, y in increasing order.\nAnswer: y, n, 5\/7, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -442*l - 269*l - 223*l in the form d + a*l and give a.\nAnswer: -934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 12057881?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -8*m**2 - 123*m + 77. Let u be s(-16). Put u, 5, -20, 4, -2 in descending order.\nAnswer: 5, 4, -2, u, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the second derivative of u**7\/14 + u**6\/6 + 7*u**5\/60 + u**4\/36 + 22*u. Factor m(w).\nAnswer: w**2*(w + 1)*(3*w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 153 = 5*c - 523, -4*a = 3*c - 222. Let z = c + -69. Solve -5*r = -z*h - 5, -h + 15 = -4*h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 3995478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 207 (base 9) to base 3\nAnswer: 20021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -6*n - 2. Suppose 0 = 5*x - 5*y + 255, 2*x + 5*y = 4*x + 108. Let j be x\/2 - 2\/(-4). Let m = -26 - j. What is r(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2\/57 - -175\/114. Does 2 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -554*c + 995*c - 1020 = -138*c + 138 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 20692 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, l: 2, f: 2}. What is prob of picking 1 f and 1 l?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -3*v - 4. Let b(r) = r + 1. Let p = -10 + 9. What is p*z(i) - 4*b(i)?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1011100010 - 1000001010?\nAnswer: -10011101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*k - 39 = 142 - 948 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -81.122 - -0.122. Let j = -113 - t. Let s = -31.5 - j. Which is the second biggest value?  (a) s  (b) 7  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 6*r**2 + 12*r - 20. Let a be 4*2\/20 - 3861\/65. Let n = a + 66. Is q(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 33 + -31. Is (-753)\/(-3) - (k + -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d**4\/7 - 33*d**3\/7 + 17*d**2 - 87*d\/7 = 0. Calculate d.\nAnswer: 0, 1, 3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -1, -46, -4 in ascending order.\nAnswer: -46, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 1 + sqrt(13) + 0 + sqrt(117)\/(sqrt(18)\/sqrt(2)).\nAnswer: -1 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**3 + 10*w**2 + 11*w + 7. Suppose 4*m - 3*j - 27 = 0, -3*m + 6*m + 2*j - 16 = 0. Suppose 5*b = 10, 0 = 4*a + m*b - 3*b + 30. Calculate k(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1569 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 144*v - 150*v = -6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/53459 and 113\/54550.\nAnswer: 2672950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1746, -3799, -7234, -12057, -18274?\nAnswer: -25891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 726152080*x**4 + 10566535*x?\nAnswer: 8713824960*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the first derivative of -1663*k**3\/3 + 3*k**2 + 30*k - 108. Find the second derivative of c(v) wrt v.\nAnswer: -3326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*z + 0*z - 4*z + (-1 + 2 + 1)*(-z - 2*z + 4*z) + z - 4*z + z)*(-2*z - 4*z + 5*z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 22498 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 9) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ccda25 (base 16) in base 10?\nAnswer: 13425189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the first derivative of 11*k**2\/2 - 10. Let y(d) = d**3 - d + 1. Let f be y(1). List the prime factors of n(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3573 + 1794 + 1779 + 3964*p)*(-24*p + 11*p + 9 + 11*p) to the form j*p + g*p**2 + z and give j.\nAnswer: 35676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 22760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 2*k**2 + 14*k - 14. Let d(v) = -v + 1. Let h(l) = -28*d(l) - 2*z(l). Let g(a) = -2*a. What is g(h(q))?\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 118706229 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 5*u**3 + u**2 + 4*u. Let a(y) = 4*y**3 + y**2 + 3*y. Suppose -j - 86 = g, 4*g + g + 442 = j. Let c = 81 + g. Determine c*a(d) + 6*h(d).\nAnswer: 2*d**3 - d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -28 + 33. Which is the biggest value?  (a) w  (b) 0  (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -21655633*q**4 + 4*q**2 - 910182041?\nAnswer: -86622532*q**3 + 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8020*g**2*w**3 + 2544*g**2*w - 2*w wrt w.\nAnswer: 48120*g**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (3 + ((-1*sqrt(1100) + sqrt(1100) + sqrt(1100) + -2 - ((0 + sqrt(1100) + sqrt(1100))*-4 - sqrt(1100))) + 0 + 3)*1)**2.\nAnswer: 800*sqrt(11) + 110016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the second derivative of -213\/2*l**2 + 139\/30*l**6 + 68*l + 0*l**4 + 0 + 0*l**3 + 0*l**5. Differentiate f(v) wrt v.\nAnswer: 556*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1424 + 2284 = -145*d - 164*d for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7 - 8. Let y = -9.42 + 8.6. Let d = y - v. What is d rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*a**4 - 4*a**2 - 1 - 2*a**2 + 2*a**3 - 25*a + 4*a**2 + 7*a**2 as o*a**4 + l + g*a + r*a**2 + f*a**3 and give g.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 148*-3\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 721557584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**2 - d + 2. Let w(m) = -3*m**2 - 3*m + 6. Let h = 31 - 37. Give h*w(k) + 17*p(k).\nAnswer: k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**2 + 11*z - 9. Let v = 18 - 11. What is g(v)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -49*l**3 + 8*l**2 - 2*l**2 - 7*l**2 - 117*l**3 as s*l**2 + n*l + u + y*l**3 and give y.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 21058132 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 20*a - 17016 = -25*a, c - 8518 = -5*a. Suppose -c = -5*f - 11*m + 7*m, -2*m + 6796 = 4*f. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9\/4, 0.1, 0.35, 1\/7 in decreasing order.\nAnswer: 0.35, 1\/7, 0.1, -9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the second derivative of -y**7\/168 + 7*y**6\/72 + y**5\/24 - 35*y**4\/24 - 28*y**3 - y - 1. Let i(z) be the second derivative of f(z). Factor i(k).\nAnswer: -5*(k - 7)*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 382*i*m**3 + i*m - 1375*i + 5*m**3 - m + 2 wrt m?\nAnswer: 2292*i*m + 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -754, -1496, -2234, -2968, -3698, -4424?\n\"Answer: 2*m**2 - 748*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4682)\/585 + (-24)\/(-3). Is -1 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(2\/39)\/v**(-2))\/(v*v\/v**2)**14)**(-6) assuming v is positive.\nAnswer: v**(-160\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 4*b = 32, n - 5*b - 18 = -2*b. Let r = n + -1. Differentiate r - 15*f - 17*f + 29*f with respect to f.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -25 - -29. Let f(j) be the third derivative of -2*j**2 + 0*j**3 - 1\/20*j**5 + 0 + 0*j + 0*j**r. Let a(b) = 2*b**2. Give a(f(m)).\nAnswer: 18*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.4 and -17776376?\nAnswer: 17776376.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 82 + -136. Let w = -55 - h. Which is the nearest to w?  (a) 4  (b) 2\/15  (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 620512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -16*m**4 + 4*m**3 - 7*m**2 + 4*m. Let n(d) = 17*d**4 - 5*d**3 + 8*d**2 - 5*d. Let x(y) = 5*h(y) + 4*n(y). Find the third derivative of x(z) wrt z.\nAnswer: -288*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -29*l + 15*l - 5 + 13*l + 6*l as a*l + g and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 1 = -x, -2*x = -4*i - 6*x + 20. Suppose 0 = -i*f - 2. Let b(m) = m**2 + 172*m**3 + 1 + 2*m + 169*m**3 - 338*m**3. Give b(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -4716 + 4716 - 13*r. Let l(j) = 2*j. Calculate k(l(a)).\nAnswer: -26*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n**2 - 1. Let p(h) = -7*h**2 - 8. What is p(x) - 4*w(x)?\nAnswer: -3*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(147) - sqrt(147))*-2 - (sqrt(147)*1 + 0)**2 - ((-3*sqrt(3)*-1 + -5)*-5 + -4)**2.\nAnswer: -1261 + 630*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-5)\/(-20)*0)\/1. Is w greater than -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1\/5, -1\/7, 173, 0.5, -11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the first derivative of 70*v**3 + 28*v - 76. Let k(u) = -38*u**2 - 5. Let b(g) = -28*k(g) - 5*m(g). Let x(p) = -p - 4*p + 4*p. Calculate x(b(l)).\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99)*-1*-4 + sqrt(99) + (2*sqrt(99) - sqrt(99))*-1)\/(2*sqrt(144)*5)*5.\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*i**2 + 7*i**2 - 15*i**2 + 5*i**2 - 17*i**2.\nAnswer: -25*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(-12) + 2721\/18 + 4. Is 93\/i + 8624\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -23 + 28. Let j(y) = y**2 - 7*y - 7. What is j(s)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 153533?\nAnswer: 153533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-8)*m*m**(1\/5))**(3\/5) assuming m is positive.\nAnswer: m**(-102\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4c - e?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 278203 and 74?\nAnswer: 556406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 84094759 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 219\/5  (b) 819  (c) -1\/4  (d) -9\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.3, -0.4, 54, 22\/7, 3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 245 divide 4136825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (-7 - (2 - 4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(-5) - (-99)\/(-55). Calculate the remainder when 2\/(-4)*(1 - 9) is divided by -2 - (d\/2 + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4754470714?\nAnswer: 2, 7, 23, 29, 97, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8 - 8. Let n be 0 + (-2 - o\/7). Let j = 21 + -19. Is j smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2817471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 207 divide 405007818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -3*w**3 - 3*w**2 - 15*w + 114. Let k be v(6). Which is bigger: k or -5859\/8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 20216 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2\/1)\/(6\/(-567)). Let w be (n\/(-57))\/(-3) + 1. Which is the biggest value?  (a) w  (b) 4  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 - 24?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sum -776094.522 and -511.\nAnswer: -776605.522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12 + 15. Suppose -m + 13 - s = d, 4*m = 2*d - 2. Suppose c + 10 = y - 0*c, 2*c = -y + d. What is the remainder when y is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 53 = 2*n - 5*l, -49 = n + 4*l. Let v = -28 - n. Calculate the highest common factor of v and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**3\/4 - 12*g**2 + 57*g\/4 + 51\/2.\nAnswer: -3*(g - 2)*(g + 1)*(g + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + -3 - 3 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.37 + 0.03. Let f = -6.5 - -2.5. Let j = 0 + f. Which is the third smallest value?  (a) 2  (b) j  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -101 - -104.7. Let z = 3.699972 - t. Round z to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**3 + 3*d**2. Let m be q(2). Let f be 3\/12 + (-1)\/m. Is f bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**3 + 5*y**2 + 4*y + 2. Let n be o(-4). Let b(w) = -w - 6. Let x be b(-5). What is the smallest common multiple of 4 and n - (0 - (x - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1810 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -10*t. Let v be c(3). Let z = 61\/2 + v. Is 18 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*l - 3*l + 33. Let u = 11 - l. Which is the nearest to u?  (a) 2\/3  (b) 5  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -96 - 27a6?\nAnswer: -284c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ltlttt. Give prob of picking 2 l.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 163162\/3 - 54378. Factor y*a**2 - 46\/3*a - 10.\nAnswer: 2*(2*a + 1)*(7*a - 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*i**3 - 60*i**2 - 20*i + 240.\nAnswer: 5*(i - 12)*(i - 2)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1900)*-2)**2*2*-2 - ((-1*sqrt(171)*-1)**2 + (sqrt(171) + (sqrt(171) - -2*sqrt(171)) + 5)**2).\nAnswer: -33332 - 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -8*b - 28. Determine f(-9).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -938723.8601232 - -938723. Let u = -0.86 - j. What is u rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1938.42 millennia to centuries.\nAnswer: 19384.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and 0.95.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5685 - -5685.1. What is the nearest to -1\/14 in -4\/17, 0.4, f?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48709 = 1721*j - 3556 + 44339 for j.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the second derivative of -d**5\/15 + 5*d**4\/9 - 16*d**3\/9 + 8*d**2\/3 + 65*d. Solve g(k) = 0 for k.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - -1) + 32 + -18\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65 + ((-55)\/(-20) - 3\/(-12)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 70 + -68. Let c be (-2)\/(8\/(-32)*a). Solve -t - c*t = 20, -3*t = w + 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1342520154 - -113?\nAnswer: 1342520311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -8, -19, -28, -35, -40?\n\"Answer: y**2 - 14*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**3 + 12*c**2 - 3*c - 40. Give p(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -8*h**3 - h**2 - 4*h + 5. Let a(g) = 316*g**3 - 654*g**3 + 339*g**3 + g - 1. Calculate 6*a(c) + p(c).\nAnswer: -2*c**3 - c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 - -4a7?\nAnswer: 4a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11.076 + 11. Let f = 0.115 + b. Let l = -0.008 - f. What is l rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3962230 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 317648, 317654, 317662, 317672?\nAnswer: 317684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the second derivative of f**6\/90 - f**5\/60 - f**4\/12 + f**3\/18 + f**2\/3 - 44*f + 1. Let j(t) = 0. What is t?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0183005 to 4 dps.\nAnswer: -0.0183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*u - 4*u - 7*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 178218 (base 14) in base 2?\nAnswer: 11001010011010101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*m**2 - 3*m**2 - 4*m**2)*(1 - 2 - 2)*(-2 + 2 - 2).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46668 is divided by 606.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-27)\/6)\/(((-1365)\/52)\/(-35)). Let p(z) = -15*z - 4*z + 4 + 11. Let c(r) = -5*r + 4. Give w*p(x) + 22*c(x).\nAnswer: 4*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1178487, 2356951, 3535389, 4713801, 5892187?\nAnswer: 7070547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 91\/2400 and -79\/80?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 46*t**2 + 20*t - 44. What is a(2)?\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**2\/3 - 9468*y + 28406\/3.\nAnswer: -2*(y - 1)*(y + 14203)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c + 17. Let g be r(9). Let k be g\/(-12)*-6*1. Let x(i) = -2*i - 1. Let a be x(-1). Sort 3, k, a in descending order.\nAnswer: k, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 333666737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 b when two letters picked without replacement from {z: 6, g: 1, c: 3, b: 1, m: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -234 + 204. Let x = r - -44. Solve 0 = 13*k - x*k - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 - (14 + 19 + -32 - (-32 - 0))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 367794.\nAnswer: 2, 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -15\/4  (b) -6097  (c) -28  (d) 2\/17  (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 84 and 216906942.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -20697 + 20838. What is the least common multiple of 72 and r?\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x, 2*g + 3*x + 5 = -5. Let b = -5 - g. Solve b = 2*i + 2 + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 (base 5) in base 11?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(1275)*-2)\/(1*sqrt(3)*6).\nAnswer: -10*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1348242194 and -5.\nAnswer: -0.674121097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -15 - -13 - (1 - 1). Let a be (-2 + 2\/h)\/(-1). Suppose 8*t - a*t = 0. Let i(r) = r - 5. Determine i(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -4, 6273.\nAnswer: -4, 0, 6273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 6*f - 5. Let l(b) = 5*b + 2. Let k(z) = 5*l(z) - 2*w(z). Let r(n) = 4*n. Give r(k(u)).\nAnswer: 52*u + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 0*z + 19 = 0. Calculate the remainder when z is divided by (-540)\/(-1755) - 330\/(-26).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -737 + 1473\/2. Let l = -16.5 - -11.4. Let y = l - -5. Which is the nearest to r?  (a) -2\/3  (b) y  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 15, m: 4}. What is prob of sequence nmm?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1820*g**6 - 735*g**2 + 1310*g**6 + 1067*g**2 wrt g.\nAnswer: 375600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 6, z: 1, o: 4}. What is prob of sequence dddz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-2\/11)\/(o\/o**(-1)))\/(o**(-14\/3)*o**(-2\/19)) assuming o is positive.\nAnswer: o**(1624\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1158*u - 1138*u - 20 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.18 + 0.09. Let f = -1449 + 1449.0907. Let a = z + f. Round a to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 933408 a multiple of 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -53 - ((26 - (-31 + 53)) + 17).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -414120 divided by 6.\nAnswer: -69020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 937 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2642489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 132818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -100805, -100804, -100803, -100802?\nAnswer: -100801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3, h: 6, v: 2, n: 2, c: 3, l: 2}. Give prob of sequence vi.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the second derivative of -9*s**5\/20 - 5*s**3\/2 + 13*s. What is the second derivative of t(l) wrt l?\nAnswer: -54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -14395*w**3 + 2486*w - 1.\nAnswer: -86370*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 26116777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/(3\/12) - -14. Suppose 0 = -4*d + q*d - 312. What is the remainder when d is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30813 is divided by 6497.\nAnswer: 4825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 6*y**3 + 6*y**2 - 2403*y + 1. Let j(b) = 4*b**3 + 4*b**2 - 1599*b + 1. What is -8*j(l) + 5*w(l)?\nAnswer: -2*l**3 - 2*l**2 + 777*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a\/((a*a**(-10)\/a*a)\/a*a)*a**(-1\/32) assuming a is positive.\nAnswer: a**(319\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**3 + 8*c**2 - 16*c + 2. List the prime factors of b(-7).\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-20)\/42*432\/(-120))\/(4\/14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 4*j - 12 = -m, 2*m + 4*j - 28 = 0. Solve 4 = c + 2*s - 4, m*s - 10 = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven tenths of a microsecond in nanoseconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -9, -12407312 in ascending order.\nAnswer: -12407312, -9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.507788 millilitres to litres.\nAnswer: 0.000507788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*j**3 - 1084*j**2 - 35136*j - 304560.\nAnswer: -4*(j + 18)**2*(j + 235)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the third derivative of 0 + 1\/30*g**4 - 11\/450*g**5 - 14*g**2 - 1\/75*g**6 + 1\/315*g**7 + 0*g**3 + 0*g. Determine k so that q(k) = 0.\nAnswer: -1, 0, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 1)\/(675\/(-6750))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1\/4  (b) -1336  (c) 3\/4  (d) -4\/3  (e) -4  (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9382*c - 4564*c + 2*c**2 - 4822*c.\nAnswer: 2*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(18)\/(1*sqrt(27)\/sqrt(3)) + 3.\nAnswer: sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(343) + 1)**2 + (2 + sqrt(343) + 2)**2 + (4*(sqrt(343) + (2 + sqrt(343))**2 + sqrt(343)) - (-2*(sqrt(343) + -1*sqrt(343)))**2).\nAnswer: 371 + 168*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14682 - 14681.96. Are 0.082 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 26 + -11. Suppose -111 = -6*y + c. Calculate the greatest common divisor of y and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 614  (b) -1.9  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5903 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1180*d - 10868 - 932 = 0 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o + 2. Let p = 9 - 12. Let r be u(p). Suppose -3*z**r + 3*z**2 - 2*z**2 - 4*z**4 + 2*z**2 + 3*z**3 + z**4 = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 85015.38 litres?\nAnswer: 85015380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 63 * -0.15\nAnswer: -9.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 12 and 31839996?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -2*r - 32, 5*r + 80 = -0*r + o. Let p = -5 - r. What is the greatest common factor of p and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-13)\/(-6) + (-4)\/(-24). Let k(l) be the first derivative of -3 + 1\/5*l**5 + 0*l**4 + 0*l**2 - j*l**3 + 0*l. Find the third derivative of k(o) wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -741 - 179 = -115*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 52400000 to the nearest 1000000.\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -4*c - 15. Let h(t) = -578*t. Determine h(v(o)).\nAnswer: 2312*o + 8670","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 15*j**2 - 60*j + 160. Let r(i) = 17*i**2 - 59*i + 162. Let b(v) = -5*r(v) + 6*y(v). Factor b(k).\nAnswer: 5*(k - 10)*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, 3\/4, 1237, 0.1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 10\/(-20) - 1\/(-6). Which is the third biggest value?  (a) s  (b) 0.4  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -94*x - 3287. What is the lowest common multiple of y(-35) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 140 = -f - 28. Let q = 17 - f. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-3)*(-1005)\/1675\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1234000 rounded to the nearest 10000?\nAnswer: 1230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 31876411 or 31876420?\nAnswer: 31876420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -57369572 by 8053.\nAnswer: -7124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -208 - 7*k**2 + 211 - k + 0*k**2 - 4*k**3. Let n be x(-2). Find the third derivative of -7*u**6 + 36 + n*u**2 - 36 - 8*u**6 wrt u.\nAnswer: -1800*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -17*h**2 + 14*h - 3. Let s(x) = 6*x**2 - 5*x + 1. Let t(i) = -3*k(i) - 8*s(i). Let r be (2\/8)\/(2\/8). Is t(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**2. Suppose 2*z + z - 6 = 0. Let y be 14\/(-4)*-2 - 3. Let o(u) = -y*u**2 + z*u**2 + 5*u**2. Give o(r(i)).\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 12 divided by -176\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*z + 40 = 22 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 4*z - 3. Let y(m) = -m + 1. Let s(t) = 2*c(t) + 6*y(t). Let b(f) = 3*f + 1. What is 3*b(r) - 4*s(r)?\nAnswer: r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.05 - -0.06. Let y = -2.99 - p. Which is the nearest to 0.1?  (a) -0.4  (b) -2\/13  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2570*b**2 - 2287*b**2 - 314*b**2.\nAnswer: -31*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**2 - d - 2. What is the remainder when 13 is divided by y(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -59, -65, -91, -149, -251, -409?\nAnswer: -635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + 12 - (0 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -34*z + 21*z + 14*z + 1. Let j(g) = -5*g**2 + 5*g + 5. What is -j(p) + 5*v(p)?\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19912509?\nAnswer: 3, 31, 149, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that 2*n**4\/13 + 12*n**3\/13 + 2*n**2 + 24*n\/13 + 8\/13 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/(-12) + 2\/(-24). Let v = -0.3 + 0.6. Let k = -0.25 - -0.15. Which is the second smallest value?  (a) v  (b) d  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 9, -10, 2, -0.5, -92, 1, 6\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -7327340100 and 377?\nAnswer: 7327340477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by 2367.\nAnswer: -5\/2367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -a + -163?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -914738*q**2 + 1065*q - 1065*q + 914732*q**2.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11793269 is divided by 475?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 30\/(-7)*70\/(-15). What is the highest common divisor of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the first derivative of p**6\/6 - 145*p**3\/3 + 128. Find the third derivative of v(f) wrt f.\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15572550.\nAnswer: 2, 3, 5, 7, 14831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:56 AM and 3:41 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1175 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) 0  (b) 15  (c) -0.39  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12398 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 109693 - 76071. What are the prime factors of a?\nAnswer: 2, 16811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 362 is divided by 109.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6 and 831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -5093*j - 16438. What is the ten thousands digit of c(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the third derivative of -m**5\/60 + 7*m**4\/24 + m**3 - 70*m**2. Let l be u(6). What is the greatest common factor of l and 348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k\/(k**(-11)*k))\/k**13 assuming k is positive.\nAnswer: 1\/k","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z - 5*w + 11 - 36, -5*z - 1 = -3*w. Let m(j) = -j**2 - 5*j - 10. Determine m(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.17 + 0.44. Let h = -8.73 - k. Let x = -8.7 - h. Which is the third biggest value?  (a) x  (b) 3\/2  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:58 AM and 4:03 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q**3 + 3*q**2 + 1. Let m(f) = -f**2 - 8*f - 3. Let b be m(-7). Let i = 1 - b. Determine w(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -81, 626, 1577, 2772, 4211, 5894?\n\"Answer: 122*g**2 + 341*g - 544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -93.6 - -154. Let m = 57.59 - p. What is m rounded to one dp?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 698246?\nAnswer: 2, 127, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -5*f. Suppose 423 = 3*a + 6*a. Let d(i) = i - 47 + a. Determine r(d(y)).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/21528 and -103\/45252.\nAnswer: 27060696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that 15*y**5 + 20*y**4 - 100*y**3 - 230*y**2 - 155*y - 30 = 0.\nAnswer: -2, -1, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 44045*c*z**2 + 77*c*z - 8*c - 630*z**2 - 14*z - 41 wrt z?\nAnswer: 88090*c - 1260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 108*o - 321*o + 105*o - 86*o**2 + 108*o.\nAnswer: -86*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 0 = 24. Let o = 945 - 967. Let m = l - o. Solve 0 = 2*h - 2*v, h + m + 5 = 4*v for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -181.2 plus -284159?\nAnswer: -284340.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7581516 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46939 = 5*g - 3*v + 46937, 3*v + 4 = 4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 not equal to 8\/187869?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6619*w + 3304*w - 46 = -3308*w - 186 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4118160 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 218646*p**2 + 0*p + 0*p + 218649*p**2.\nAnswer: 3*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhlhzhztzhtthhhlmh. Give prob of picking 3 h and 1 t.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*r**5 - 2*r**5 + r**5 + (0 + 3*r + 0)*(-11*r**4 + r**4 - 4*r**4).\nAnswer: -41*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(81)*4*-1)\/(sqrt(30)\/(sqrt(490) + sqrt(490) + sqrt(490)*3)).\nAnswer: -420*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -5*v + 6*g + 20, -6 = -v + 3*g. Does 13 divide 33*2*v\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -63*h - 4. Let m be r(-1). Let q = m - 39. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j**4 + 28*j**3 - 201*j**2 + 378*j = 0. What is j?\nAnswer: 0, 3, 7, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6286?\nAnswer: 2, 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1203871*g**3 - 404512.\nAnswer: 3611613*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**1*u)\/(u\/((u*u**(-6\/11))\/u)))**36\/((u**1*u)**45\/(u**(-3\/2)*u*u**(-1)*u)) assuming u is positive.\nAnswer: u**(-839\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 63804017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1098*x + 746235 = 1133*x. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (24 - (6 - -21)) + 6 - (-1 + -4)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**3 - 18*p**2 + 14*p - 95. Let w be k(-19). Is (-4)\/(-8) - (5409\/(-2) - w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4294347789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7521407, -7521391, -7521375, -7521359, -7521343?\nAnswer: -7521327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 190 - 187. Suppose -m = q*m - 6764. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -11356 at most -11355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1043777 divided by 7.\nAnswer: 149111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y\/y**13)\/y**(-6))\/(y\/(y\/(y**11*y*y))*y**(-2\/17)\/y*y))**(-41) assuming y is positive.\nAnswer: y**(13161\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 110, 128, 168, 242, 362?\nAnswer: 540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000001000 + -101?\nAnswer: 1000000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {w: 2, t: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 17822 * 0.5\nAnswer: 8911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.07 - 0.32. Let c = v + 0.25000046. Round c to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -32*h**2 - 28*h**3 - 24*h**2 + 205*h + 23*h**3 - 144*h**2.\nAnswer: -5*h*(h - 1)*(h + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, c: 1, w: 2, y: 1, z: 2, l: 1}. Give prob of picking 1 y and 1 z.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 38997449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 4*t = -3856, 5*s - 5*t = 659 - 5439. Let p = 1472 + s. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 + 1. Let j(u) = u**3 + u**2 + u - 133. Let q be j(t). Let s be q\/(-3) - (-2)\/(-6). Calculate the greatest common factor of s and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13846720 divided by -692336?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 25.03 * -0.3.\nAnswer: -7.509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = 3*v + 4 + 15, 0 = 3*j - 2*v - 71. Suppose j = -m - 4*m. Let y(q) = q**2 + q + 5. Calculate the remainder when y(m) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 141 + 3 = 36*c. Solve 5*x = -v + 2, -v - c*x - 5 = -7 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 5*c - 28. Let r(n) = n. Let d(g) = -o(g) + 6*r(g). Is d(0) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5804189*-7\nAnswer: 40629323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 672 minutes before 8:24 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n**2 + 4*n - 6 = 0. What is n?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 1\/2*-4 + -35*506\/(-55)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*p + 56 = -22*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4618662?\nAnswer: 2, 3, 17, 45281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 228317 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (112\/264*150\/(-175))\/((-17278)\/(-583))?\nAnswer: -2\/163","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (6632*l - 6632*l + 356*l**2)*(3 - 25 - 6) in the form z*l**2 + o*l + x and give z.\nAnswer: -9968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the third derivative of 0*k**3 + 1\/420*k**6 + 0*k + 1\/35*k**5 + 3\/28*k**4 - 13*k**2 + 0. Factor i(j).\nAnswer: 2*j*(j + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t**3 - 10*t**2 - 10*t - 9. Let s(r) = 4*r - 1. Let v be s(3). Let z be m(v). Let c(o) = 0*o - o - 2*o**z + o - 2*o. Calculate c(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 20 - 7 = 0. Suppose 0 = -d*p + 4*p + 50. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -7*j**3 - 8*j**2 + 5*j. Let c(y) = -7*y**3 - 7*y**2 + 4*y. Let g(o) = 3*c(o) - 2*p(o). Factor g(z).\nAnswer: -z*(z + 1)*(7*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.9 + -2. Let w(z) be the second derivative of z**4\/6 - 11*z**3\/6 - 5*z**2 + 140*z. Let y be w(6). Which is the closest to p?  (a) y  (b) 27  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**3 + 5*k**2 + 6*k. Let q be l(6). Let d = 18 + q. Let b(t) = 19 - t - 2*t - d. Calculate b(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -26\/9, 2\/3, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2398*o - 2451*o - 1291*o - 589*o.\nAnswer: -6729*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3 + 0 - 0) + -9. Let s(i) = 20*i**3 - 32*i**2 + 26*i + 9. Let m(d) = 7*d**3 - 11*d**2 + 9*d + 3. Let h(p) = q*s(p) + 17*m(p). Give h(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1116\/(-45))\/(4\/(-50)). Suppose y = 6*i - 1010. Let p = i - 65. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -5*v - 18. Is 11 a factor of x(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6951612 divided by -4.\nAnswer: -1737903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/4*21*(-16)\/(-24). Let y(x) be the third derivative of 5*x**4\/6 + 7*x**3\/6 - 69*x**2. Let r(p) = -10*p - 3. Calculate n*r(v) - 3*y(v).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 7 - -28*10\/(-40)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, k: 3}. Give prob of sequence ik.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*o + 6*o - o - 2*o - 5*o + o - 2*o + o + 0*o + (2 + 2*o - 2)*(2 - 1 - 2) + o - 3*o + o)*(0 + 0 + o).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/11, 2, 5\/2, 0.1, -4408, 3 in descending order.\nAnswer: 3, 5\/2, 2, 0.1, -2\/11, -4408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2330 + 2370. Suppose t + 2*t - 4*n - 40 = 0, 5*t = n + 44. What is the greatest common divisor of c and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2859657 divided by 9021\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -33 + -257274?\nAnswer: -257327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 220, 0.5, -0.1, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8103 is divided by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -389\/597 + -3\/199. Suppose 5*u + 2*i + 15 = 0, 5*u + 3*i = -0*i - 20. Which is the smallest value?  (a) 0.5  (b) u  (c) -2  (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**2 + 2*f - 136. Let d be l(0). Let z = d + 149. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -2*m**2 + 4*m - 4. Calculate d(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 19, a: 1}. Give prob of sequence ab.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in 39793, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -91 - -93. Let s(b) = 2*b + b**3 + 12*b**3 - 3*b - 11*b**3 + 2*b**k - 2. Let c be s(2). Solve 2*r - 7*r = c for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 78774175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -73360 divided by 14672?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.5 - -3.5. What is the nearest to -0.1 in a, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(165)*1 - sqrt(165))\/sqrt(3))\/(sqrt(704) + (-6*sqrt(704)*2 - sqrt(704)) + sqrt(704)).\nAnswer: -sqrt(5)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuxuuuxu. What is prob of sequence ux?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2371, 9435, 21209, 37693, 58887?\nAnswer: 84791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -36630 <= -36638?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -31 - -41. Let b(j) = 6*j - 66. Let c be b(12). Calculate the highest common divisor of c and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 2*v**3 + 4*v**2 - 3*v + 4. Give t(-4).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2 + -1)\/((-6)\/30). Let n be (-4)\/g*(-105)\/(-42). Suppose 46\/11*m**3 + 26\/11*m + 14\/11*m**4 + 54\/11*m**n + 4\/11 = 0. Calculate m.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:28 PM and 11:48 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -741 - -696. Let s be z\/(-15) - 3\/(-3). Put -1, s, 18, -2 in decreasing order.\nAnswer: 18, s, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -923*p**3 + 2*p**2 + 18 wrt p?\nAnswer: -5538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1085 and 455?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**2 - 273*t. Let p(m) be the first derivative of 5*m**3\/3 - 5984. Give x(p(u)).\nAnswer: -25*u**4 - 1365*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -11*v**2 + 4*v - 9. Suppose l - 18*l - 51 = 0. Let k(h) = -5*h**2 + 2*h - 4. Give l*x(q) + 7*k(q).\nAnswer: -2*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -58*m**2*q - 94*m**2 - 3*m*q wrt q.\nAnswer: -58*m**2 - 3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10110101 - 1010100010101010110100?\nAnswer: -1010100010100111111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 314 or 2195\/7?\nAnswer: 314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:25 AM and 5:20 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -656186 - -1147193. Let n(x) = 3151*x**3 + 6*x**2 - 12*x + 4. Let v be n(7). Let s = v - i. Round s to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 26*s = 23*s + 8, 0 = -4*d - 4*s + 20. What is the remainder when (216\/16)\/(2\/20) is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 4*q + 7, 0 = -l - 3*q. What is the smallest common multiple of l and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 2*l + 10. Let v be q(-8). Let a(b) = -b**2 - 7*b - 2. Let y be a(v). Is (-1972)\/(-4) - y - 4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 247 - 43 = 0. Let n = r - 285. Is -29 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + 10 + -13 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 4 = 6*n - 9*n, 3*n + o = -4. Let l = -24 - -45. Which is the closest to -0.1?  (a) 2\/5  (b) -1  (c) l  (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-10\/3))**(-7\/9) assuming r is positive.\nAnswer: r**(70\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1453936 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 560201782?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(1700) + -2 + sqrt(1700) - sqrt(1700))**2 - sqrt(1700)) + -3.\nAnswer: -8523 + 250*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4714247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 72*n - 21. Let q be z(-7). Let c = -223 - q. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 3*f**4\/2 + 255*f**3 + 14364*f**2 + 263169*f - 555579\/2 = 0.\nAnswer: -57, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55311*t**2 + 55310*t**2 - 2*t + 5*t - 3*t.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 3 + 7*q**2 - q - 4 + 8*q**2 - q**3 - 14*q**2. Let i(f) = 2 - 6*f - 2*f**3 + 3*f - 2*f**2 + 5*f. Give -2*b(v) - i(v).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the third derivative of c**5\/10 + 3*c**2. Let r(w) = -2*w. What is r(i(k))?\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -38 - -68. Let a(n) = 4*n**2 - 3*n + 2. Let f be a(2). What is the highest common divisor of y and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 389 (base 10) to base 7.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 34*d**4 + 110*d**2.\nAnswer: 816*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 540 is divided by 222?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 75 or 67?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 - 471332.\nAnswer: -471333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes after 3:15 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 5*y = -q - 12, 9 = -5*q - 3*y. Suppose -2*p + 40 = -q*m - 4*m, 2*p = -4*m + 40. Solve -4*b = -3 + 11, p = 3*r - 4*b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 356.076 millennia in years?\nAnswer: 356076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((15\/(-20))\/(-3))\/((-180)\/29520*(-10)\/(-2)).\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 2*q + 812111. Let j(h) = -h - 2. Give f(j(g)).\nAnswer: -2*g + 812107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 540 + -510. Suppose 0 = -54*x + p*x - 48. Is 144 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 162130 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: 0.535 times 0.55\nAnswer: 0.29425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 - -41. Let f be (-6)\/d + (-100)\/26. Are -1 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1571462 and -2.\nAnswer: 3142924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 26874 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 319434 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k = 8*k + 20, -2*d = -4*k - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.4, 0.2, 5, 5\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2199.47 - 19.53. Let z = -2177.68 - s. Let l = -42 + z. Round l to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.16*-0.0918906.\nAnswer: -0.014702496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 84196379?\nAnswer: 84196379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 101\/144 and 41\/19548.\nAnswer: 78192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 5*(-6)\/(-15) + 246600. Suppose 3*a + 42919 = -5*o + p, -2*o + 2*a + 81486 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3338, 3336, 3334, 3332, 3330?\nAnswer: 3328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = 5*j - 12. Suppose -4*z + b = -19, z + 18 = j*z + 3*b. Let v(q) = -2*q + 6. Determine v(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (62*i - 3*i**2 + 8 - 64*i - i**2)*(3*i**2 - 2*i**2 - 3*i**2) - 86*i + 34*i**4 + 86*i.\nAnswer: 42*i**4 + 4*i**3 - 16*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 >= 2993000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-22)\/3 - -6)*3 - -3114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 191086 = -7*f - a, f - 63717 = 4*a. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 171 and 9633?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*f**3 + 6*f**3 - 14*f**3 + 0*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - 0 - (0 + -1 + -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18\/15 - 154\/140)*2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(88) - ((1*sqrt(88)*1 - sqrt(88)) + sqrt(88) + sqrt(88))) + sqrt(88))\/((sqrt(44)\/sqrt(2))\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 21095740 to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1328*30\/(-144)*6*12\/(-240)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 247\/4 - 62. Let l = -3203 - -15828\/5. Let u = l + 38. Sort -5, u, o in decreasing order.\nAnswer: u, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*t**3 - 9*t**2 + 46*t**3 + 6*t**2 + 3*t**2.\nAnswer: 34*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 23*q**3 + 8*q**2 + 190*q - 188*q - 2 - 5*q**2 to the form a*q**2 + c*q + n*q**3 + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3281 is divided by 345?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**2 + 6120182*k + 3060092.\nAnswer: -2*(k - 1530046)*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -87a9 (base 15) to base 7\nAnswer: -146526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1.29208 and -2.3?\nAnswer: 3.59208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 4.193, -15\/7, -8, -2, -1\/6 in ascending order.\nAnswer: -8, -15\/7, -2, -1\/6, 4.193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 22  (b) 0.2  (c) 1478  (d) 1\/2  (e) -1\/9  (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7984.\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4 + 3)\/(-1)*(27290 + 11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1893310396 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -211827000 rounded to the nearest one million?\nAnswer: -212000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3 + 2)*24\/5. Suppose -8*y = -4*y + 4. Calculate the remainder when i + 1 - (-2 - y) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes after 10:59 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + t = -14, -2*h - 2*t = 1 + 3. Suppose 2*r + 3*v = -21, 4*r + 2*v + 10 = -20. Let a = h - r. Solve -3 = -a*l + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 20956487, 20956488, 20956489, 20956490, 20956491, 20956492?\n\"Answer: p + 20956486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 10  (b) -164  (c) 412\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 5*p = 1, b + 3*b + p = -57. Let f be 782\/8 - b\/52. What is the highest common divisor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-30)\/5440*10300\/(-14). Let x = 75\/119 + y. Find the common denominator of 1\/6 and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = 2*z + 4, 0 = -t + 6*t + 3*z + 6. Let q(l) be the first derivative of l**3\/3 + l**2\/2 + 8*l + 1. What are the prime factors of q(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 306 divide 145656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 25*r - 16*r + 7*r + 1 as t*r + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**2 + 1. Give l(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**3 + 11*f**2 + f + 7. Let j be i(10). Let m be 96\/j + (-4)\/6. Let l be (-6)\/(-4) - (-1 + (-5)\/(-2)). Is m at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 157102 = -594*x + 787*x. Does 29 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 5*r + 179 = 39, -3*r = 4*m - 108. Calculate the remainder when 166 is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 63?\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9, 382, 1029, 1944, 3121, 4554, 6237, 8164?\nAnswer: 10329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*y - 348 = -0*y. Let b(d) = -20*d + 7. What are the prime factors of b(y)?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 613\/2 less than or equal to 307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-1 + sqrt(17) + 2)**2.\nAnswer: -72 - 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1*((-4)\/(-30) + (-1326)\/(-1530)). Which is smaller: c or 3\/329?\nAnswer: 3\/329","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**3 + s**2 - 94*s + 5. What is the remainder when 449 is divided by w(-10)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5497.016 decades in centuries?\nAnswer: 549.7016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o**3 + 14*o**2 - 33*o = 0.\nAnswer: 0, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the first derivative of -5*z**4\/6 - z**3\/6 + 17*z**2\/2 - 3. Let j(b) be the second derivative of s(b). What are the prime factors of j(-5)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 4550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 283187 divided by 283187.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in twenty-seven halves of a century?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 - t**3 - 2*t - t**3 - 2*t**3 + t - 2*t**4 - 16*t**2 + 4*t in the form w*t + i + g*t**4 + k*t**2 + b*t**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*m**2 - 2*m**2 + 3*m**2 - 2*m**2 to a*m**2 + j + w*m and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -d**4 + 3*d**3 + 435*d - 24811.\nAnswer: -4*d**3 + 9*d**2 + 435","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 7 + 9 = 0. Suppose -4*l + 684 = v*l. Is 38 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4499450?\nAnswer: 2, 5, 89989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -160 by 10.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -2152 minus -0.5?\nAnswer: -2151.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -44 - 13*c + 44 + 43*c + 28*c. Let t(v) = -6*v + 5. Let o(k) = -7*k + 6. Let z(r) = 5*o(r) - 6*t(r). Calculate y(z(n)).\nAnswer: 58*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -4300\/7597 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(51)*-3*-5)\/sqrt(3))**2*1.\nAnswer: 3825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 579, 3064, 7457, 13758, 21967?\n\"Answer: 954*l**2 - 377*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 486 and 31257?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 2*f**3 + 3*f**2 + 2*f + 19. Give p(-4).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 95 - 92. Find the second derivative of -l + 10 + 2*l**4 + 7*l - 2*l**2 + 233*l**g - 233*l**3 wrt l.\nAnswer: 24*l**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z - 9. Let y(l) = -6*l + 46. Let c(d) = 14*h(d) + 3*y(d). Let b be c(3). Suppose b*g = 6*g - 24. Solve -f = -1 + g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, -2.4, 2\/5, 5\/3, 0.8, 0.1?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/7, 2\/13, -6\/7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 24 - 22. Let v(s) = s**3 + s + 3 - 15*s**o - 4 - 9. Let h be v(15). Put 2, h, 4 in increasing order.\nAnswer: 2, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -21254*w - 8463. Is x(-38) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6374, 6373, 6372, 6371, 6370, 6369?\nAnswer: 6368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1000 + -825. What is the highest common factor of 25 and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than 80\/47099603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-8)\/3)\/(4\/12). Let a be (j\/(-12))\/((-2)\/(-6)). Solve 0 = z - d + a, -z = -5*z + 5*d - 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 9*p**2 - 728*p + 159. Let y be m(81). Calculate the highest common factor of y and 810.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 33 and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10728 is divided by 145.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -20*t + 12 - 12. Let n be d(-1). Suppose n = o - 0*o. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 24503, 49070, 73737, 98552, 123563, 148818?\n\"Answer: 8*m**3 + 2*m**2 + 24505*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 375520 divided by 1\nAnswer: 375520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 6*p**2 + 8*p - 11. Let d(q) be the first derivative of 2*q**3\/3 + 3*q**2\/2 - 4*q + 13. What is 3*b(l) - 8*d(l)?\nAnswer: 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -134*m + 136*m = 4. Let s = 0.18 + -0.28. Sort -26, s, -1, m in descending order.\nAnswer: m, s, -1, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1176\/5880*21\/9.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 35631775 + -140?\nAnswer: 35631635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 + (-9 - (2 + 4 - 7)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that 3943840*y**2 + 535056*y + 90738\/5 = 0.\nAnswer: -213\/3140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) 136  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 499\/(124750\/9000)*(-6)\/(-9).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the third derivative of -s**6\/120 + s**5\/10 - s**4\/12 + s**3\/3 + 8*s**2. What is the units digit of l(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -8*f - 1254. Let m(g) = -14*g - 2512. Determine 3*m(k) - 5*p(k).\nAnswer: -2*k - 1266","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.1 + -3. Let b be (-8)\/(-70) + 12\/42. Is b <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 1 + 3*i - 2 - 2. Let c be (-50)\/(-6) + 6\/9. Suppose -c*y + 5*y = -8. Give w(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*k + 72748 + 224113 = 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-3 + ((sqrt(192) + 1*sqrt(192) - sqrt(192)) + sqrt(192) - sqrt(192) - sqrt(192)) + 1*-1*sqrt(192))**2 + 0 + -2.\nAnswer: 48*sqrt(3) + 199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -31*v - 32*v + 42*v in the form n + f*v and give f.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (0 - 2 - -1)*-3. Suppose y*f - 1 = -4. Let p be ((-2)\/5)\/(f\/5). Solve 0 = -3*t - 3*v + 12, 0*t - p*v = -3*t + 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.016 - 0.384. Which is the fourth smallest value?  (a) -1  (b) m  (c) 2  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3*(-16)\/30*-5. Suppose 10*h + t*h = 3*h. Let j = 3.07 + -0.07. What is the closest to h in 0.2, -0.5, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(405)*3*5*-3)**2 + 1*((-2*sqrt(4455) - sqrt(4455) - sqrt(4455))\/sqrt(11))**2.\nAnswer: 826605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 - 0. Calculate the highest common divisor of r and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -58614*a**3 + a**2 - 48*a + 2162 wrt a?\nAnswer: -351684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 23198702 to the power of 1\/3, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 34224371?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 5*i - 14 = 0, -4*i - 3 + 29 = 5*s. Suppose 0*q + 2*q - 23 = 5*n, 4*n + 4 = -s*q. Factor -4*m**2 + q*m**2 - 2*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 789823?\nAnswer: 789823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -71703 (base 13) to base 5\nAnswer: -23001220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/1237512 and -113\/10.\nAnswer: 6187560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 127 + -124. Let n be (-2)\/b*((-18)\/12 + 3). Is n not equal to -2\/211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((k*k**(-1\/2))\/k)\/k)\/k)\/k*k\/((k*k**(-2\/23)\/k*k)\/k))**(-1\/4) assuming k is positive.\nAnswer: k**(111\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 t when two letters picked without replacement from ctutuqqauuuwuauat?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2 + -1 + -2 + 105. Let t be h\/10 - (-2)\/(-5). Let i = t - 8. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the second derivative of -3*v**2 + 1\/450*v**5 - 32*v + 0 + 0*v**3 - 1\/180*v**4 + 1\/450*v**6. Let j(a) be the first derivative of n(a). Factor j(i).\nAnswer: 2*i*(i + 1)*(2*i - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0010143974885 to 7 dps.\nAnswer: -0.0010144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes before 5:55 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 305480 is divided by 229?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v + 4*p = 2*v + 104, 3*v = -p + 72. Calculate the remainder when v is divided by 4*(-2)\/((-2)\/3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 + -3. Suppose 1025 = -3*w + 1010. Sort 4, n, w, 1 in decreasing order.\nAnswer: 4, 1, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -74916484*f**3*n + 2*f**3 - 9130795*f**2 wrt n.\nAnswer: -74916484*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1285067 is divided by 217?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*x = -28*x - 27 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of n*q**4 - 773*n*q**2 + 22750*n*q - 54*q**2 + 8*q wrt q?\nAnswer: 12*n*q**2 - 1546*n - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((i + 3*i - 6*i)*(-3 + 5 - 4) + 3 - 3 - 30*i - i + 2*i + i)*(0*i**2 + 0*i**2 - i**2).\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 10\/9 of a day?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -51 - -51. Let m be (1*-3)\/((-135)\/720). Suppose -m*r + 1049 + 1511 = l. What is the highest common divisor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*t**4 + 13264*t**3 - 187500*t**2 - 3385800*t + 35964000 = 0. What is t?\nAnswer: -3330, -15, 9, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*b - 4*y - 28, -b + 1 = -5*y + 4*y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 433 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:25 PM and 8:09 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the second derivative of -19*k**5\/20 + k**4\/12 - k**3\/6 - k**2\/2 + k. Suppose 9 - 6 = -3*o. List the prime factors of q(o).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 960 - 958. Solve 4*f = 4*h - 0*h, f = s*h + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: -0.2 * -16.1\nAnswer: 3.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2*(4 + -4 - 578\/(-4)). Let q = v - 287. What is the greatest common factor of 146 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the second derivative of u**3\/3 + u**2 + 15*u + 1. Let o(b) = b**2 - 3*b. Let w be o(4). Let k(r) = 4*r + 5. Determine w*k(i) - 10*a(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in j - 5*j**2 - 8*j**2 - j - 4*j - 11*j**2.\nAnswer: -24*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 18\/15*((-1)\/3 + -3). Suppose 2*d = -2*b + b - 32, -119 = 4*b - d. What is the remainder when 5 is divided by (-1)\/t + b\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15119, 121350, 409693, 971204, 1896939?\nAnswer: 3277954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.043376743 to five decimal places.\nAnswer: 0.04338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 < 11\/359883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-2 + sqrt(320)*-3).\nAnswer: 6 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b*b\/(b\/(b**(3\/2)*b)*b)*b**(1\/4)*b*(b**(-3)*b)\/b*b**7 assuming b is positive.\nAnswer: b**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1325639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**2 + 7*t + 15. Calculate n(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 + -b5a7?\nAnswer: -b5a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 - 6. Let c(z) = z**2 + z. Let k(m) be the third derivative of m**6\/120 + m**5\/20 + m**4\/24 - m**3\/2 - 11*m**2. Let x(h) = c(h) + k(h). What is x(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 7*a**2 + 4*a - 5. Is y(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1634051 (base 7) in base 10?\nAnswer: 227102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2\/7, 8, -1, -0.2, -6, -0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t and 1 f when three letters picked without replacement from ttttttfttttffftttttt.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add -3850 and 7323.\nAnswer: 3473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 5426 divide 193225286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -271*m - 1903*m**4 - 24*m**2 + 88*m + 101*m + 88*m wrt m.\nAnswer: -45672*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 + 2*m + (-m + 0*m - m)*(3 - 3 + 1) - 2*m - m + 2*m + 3*m - 2*m + m - 51*m - 231 - 222 + 455.\nAnswer: -50*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -52*j**4 + 3*j**3 - 429*j?\nAnswer: -624*j**2 + 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.25 times 0.052?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -23, 4, -11 in increasing order.\nAnswer: -23, -11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 bigger than -2\/185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h = 3*h - 36. Let d(t) = t**2 - 11*t - 8. Let f be d(h). Let r(j) = -4*j - 2 - 5 + 10 - 2. Let n(g) = 5*g - 2. Give f*r(w) + 3*n(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - z = 39472740, 2*u + z - 29604555 = 5*u. Let p = -5696575 - u. Suppose -5*k + p + 39328390 = 0. What is k rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-18)\/(-84))\/((-144)\/(-28)). Let p(i) be the third derivative of 0*i - g*i**4 + 5*i**2 + 0 + 0*i**3. Let r(m) = -2*m**2. Determine p(r(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the second derivative of v**4\/12 - 2*v**2 - v. Let f be (8\/2 + -4)\/(3 - 1). What is y(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6618 - 46328\/7. Which is the third biggest value?  (a) -10  (b) 3  (c) y  (d) -1  (e) -30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 302342760 divided by -4716\nAnswer: -64110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 38*(36\/(-54) + 50\/72) and 43\/5?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 86246388?\nAnswer: 2, 3, 337, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the second derivative of -5*h**3\/6 + 5*h**2\/2 + 452*h. Let d(g) = 2*g - 1 - 1 + 0. Give 14*d(a) + 6*s(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1040*z + 4 + 1018*z - 4.\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -17 - -20. Find the third derivative of -i**3 - 15*i**r - 14*i**3 + 44*i**3 + 12*i**2 wrt i.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 31194*n**4 - 7*n**2 + 32*n - 6 wrt n?\nAnswer: 748656*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20809407 is divided by 177858.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11396 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*p + 7*p + 45. Let h(o) = -15*o + 7. Let u(x) = 7*x - 3. Let r(w) = -6*h(w) - 13*u(w). Calculate r(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18712.026 microseconds in minutes?\nAnswer: 0.0003118671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0 + 1*(-2 + 1). Suppose -16 = -5*b - 3*b. Let n(j) = -3*j**3 - 1 + 14*j**2 - 12*j**b + 0. Give n(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*l - 2 + 5 = 36 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 0*q - 2*i - 84 = 0, 3*q + 3*i = 69. Suppose -q = -2*u - 0. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b\/(b\/(b**(1\/2)\/b)))**(-35)*b\/b**(-1)*b\/((b\/(b\/((b\/(b\/(b\/((b*b\/((b*b**6\/b)\/b)*b)\/b))))\/b)))\/b) assuming b is positive.\nAnswer: b**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/8262 and -23\/1929.\nAnswer: 5312466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 90236*h**2 + 1440*h - 14 wrt h?\nAnswer: 180472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2641 is divided by 446?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -2 + 9 + 8 - 5 + d. Let w be f(-7). Let i = -219 + 222. Solve -3*b - 2*p - 16 = -w*p, 3*p = -i*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10293162 divided by -66.\nAnswer: -155957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 136059, 128442, 120825?\nAnswer: 113208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h - 3*x - 73 + 97 = 0, x - 4 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the second derivative of 0*z**6 + 0 + 0*z**3 + 0*z**2 + 21*z + 1\/6*z**4 + 0*z**7 + 5\/14*z**8 + 0*z**5. Find the third derivative of q(b) wrt b.\nAnswer: 2400*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**3 + t**2. Let i(p) = 7*p + 74. Let m be i(-11). Determine v(m).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -389 and 2.\nAnswer: -778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 17 - -0.079\nAnswer: 17.079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**2 + k - 9. Let i be f(-4). Let x(v) = -v**2 + 2*v + 5. What are the prime factors of x(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30 is divided by 26.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 3*r - 27 = 4*r, 0 = -2*o + 5*r + 3. Let x be (6 + o)\/(0\/2 + -1). Suppose 4*f = -x*k - k + 34, 0 = k - 2*f - 52. What are the prime factors of k?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of k**2 + 13*k**3 - 5*k**3 + 9*k**2 wrt k?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -272 + 274. Let x be 12\/9 + -1 + -1. Put -0.7, x, n, -3\/4 in decreasing order.\nAnswer: n, x, -0.7, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/11?  (a) -2  (b) -0.05  (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2988?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 2*q**2. Let a(f) be the second derivative of 1\/2*f**3 + 3*f + 0 + 0*f**2. Determine t(a(y)).\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:59 AM and 8:13 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*r**3\/7 + 1220*r**2\/7 - 9564*r\/7 + 17820\/7.\nAnswer: -4*(r - 297)*(r - 5)*(r - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34530*j + 34530*j + 73*j**3.\nAnswer: 73*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, q: 1, f: 1, j: 2}. What is prob of picking 1 f, 1 h, and 1 j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -3 + w**2 + 0 + 2. Let p = -89 + 130. Let h = -39 + p. Give s(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/96 and -119\/108?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 8 * -0.14\nAnswer: -1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 64691449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 + 6 = -5*f. Let x = -4111 - -4107. Sort 3, -2, f, x.\nAnswer: x, -2, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 132539.247s?\nAnswer: 1.5340190625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 44*m + 11*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.2  (b) 186  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -2*c**3 + 10*c**2 - 5*c - 9. Give q(5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**3 + 4*c**2 - 3*c - 5. Let a(f) = -f**3 + 1. Let q(k) = -2*a(k) - v(k). Let m be q(3). Let s(x) = m + 4*x - 4*x - 2*x + x. Calculate s(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (4 - (4 + 4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 13762 and 8.\nAnswer: 55048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 56 and 4536?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -482 + 482 + x + 6*x**2 - 7*x**2 + 56*x**2.\nAnswer: 55*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the first derivative of 3*n**2\/2 - 31*n + 29. Let v be o(12). Solve 2*j + j = r + 13, -v*j + 19 = -r for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11086?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -3\/38  (b) -0.5  (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1133 (base 4) to base 3.\nAnswer: 10112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-3))**(-3\/23)*(u**0)**(-48) assuming u is positive.\nAnswer: u**(9\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -2 + -1 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 5*f**2 - 11*f + 1. Let m(r) = 3*r**2 - 5*r + 1. Let j(y) = -5*m(y) + 2*q(y). Determine j(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 225.78 - 224. Let y = n - 1.87. What is the nearest to 1 in 2\/7, y, -0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*z + 2*z + 2*z)*(1445 - 1445 - 44*z**2) - 3*z**3 + 0*z**3 + z**3)*(21*z**2 + 90*z - 91*z - 54*z**2).\nAnswer: 2970*z**5 + 90*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 258173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -320 - -8277?\nAnswer: 7d57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 546598 is divided by 272784.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 529694*-38.\nAnswer: -20128372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 59, 62, 65, 68?\n\"Answer: 3*t + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from kejjydf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 137.6865l in millilitres?\nAnswer: 137686.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 196 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -27\/2 + 3\/2*a**3 + 57\/2*a - 33\/2*a**2.\nAnswer: 3*(a - 9)*(a - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*q**3 + 582*q**2 + 6711*q + 11070 = 0. Calculate q.\nAnswer: -9, -2, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 53084, 53319, 53558, 53801?\n\"Answer: 2*i**2 + 229*i + 52853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 320 = r + 4*i + 36, 2*i + 308 = r. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.04209, 5, 12, 0.1 in decreasing order.\nAnswer: 12, 5, 0.1, -0.04209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*6*((sqrt(36)\/sqrt(3))\/sqrt(6) + (sqrt(2) + -1)*5).\nAnswer: -108*sqrt(2) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l. Let j(x) be the first derivative of 137 + 29\/2*x**2 + 0*x - 1\/3*x**3. Give y(j(t)).\nAnswer: -t**2 + 29*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 3*h + 340 = -0*h, 3*h = -3*a + 516. Let i be (-2 + -1 - 17)*-5. Let n be ((-24)\/(-10))\/(15\/i). What is the highest common divisor of n and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 2*j - 314 = 0, -4*v = j - 5*j - 316. Let w = 56 + v. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 535325?\nAnswer: 5, 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-1)*w**2)\/(((w\/((((w*w**(-1\/14))\/w)\/w*w*w)\/w*w*w*w))\/w)\/(w\/w**2)) assuming w is positive.\nAnswer: w**(41\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -41 + 38. Let k(m) = -21*m**2 - 13. Let v(x) = -x**2 - 1. Let d(i) = q*v(i) - k(i). What is the first derivative of d(y) wrt y?\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 9\/5, -1090, 1?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 409, 824, 1239, 1654, 2069?\n\"Answer: 415*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b and 2 z when four letters picked without replacement from {q: 7, z: 5, b: 2, w: 3}.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 3*v**2 + v - 4. Let g(x) = x**2 - 1. Let d(q) = b(q) - 2*g(q). Let j be d(2). Suppose -5*f + 2 + 43 = 5*n, -5*n = -j*f + 54. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*r**2 + 0*r**2 - r**2 + 4*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-4)\/(-14))\/(-8 + 232\/28). Solve 0 = 3*t - 4 + j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*w - 850 - 746 = 0. What are the prime factors of w?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 + 1 + 4\/4. Suppose -m = -x - 6. Let o(d) = 7*d**3 + 4*d**2 - 2*d - 4. Let u(k) = 8*k**3 + 5*k**2 - 3*k - 5. Give x*o(c) + 4*u(c).\nAnswer: -3*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 309078 and 206052?\nAnswer: 618156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11120 (base 4) to base 13.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h - 21 + 105 = 0. Let n be (-8)\/(-2 - 18\/(-10)). Let o = n + -28. What is the greatest common divisor of o and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 625*d - 272*d + 410*d as z*d + j and give z.\nAnswer: 763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 468, 943, 1418, 1893, 2368, 2843?\nAnswer: 3318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**3 + 15*q**2 + 13*q - 12. Let g be s(-14). Suppose -3*r = -g*r - 20. Solve -4*w = -8*w + r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -75*f + 71*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 58 and -3.22?\nAnswer: 61.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/4)\/(7\/((-56)\/(-9)))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-744)\/62)\/(((-18)\/(-9))\/((-2)\/(-2)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 205*m - 78*m - 77*m.\nAnswer: 50*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -191.56+-2.22\nAnswer: -193.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**3 + 6*q**2 + 4*q - 7. Let z be v(6). Suppose 2*x - 11 = z. Suppose -2*t + x = 2. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -4*f - 17. Let k be c(-4). Let i = 0 + -4. What is the closest to -1 in i, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22.323 rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = 6*s - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/3411 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:18 PM and 7:24 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**2 - 4*g + 8. Let y be s(3). Suppose -p - 4*i + 11 = 0, -2*i - 1 = y*p - 2. Do -17 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve o - 3 = -b, 11*o - 15 = 6*o - 4*b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1681, 6353, 14073, 24787, 38441, 54981, 74353, 96503?\nAnswer: 121377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2417511 and 3082881?\nAnswer: 336034029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.6749880655 rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3 - (1 - 3)) + -2. Is 12 a factor of 21 - -3*(y + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 2, b: 2}. Give prob of picking 2 b and 2 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 - 48b46?\nAnswer: -48b45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4914498881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**3 + 177*o**2 - 357*o + 179.\nAnswer: (o - 1)**2*(o + 179)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -9*q**2 - 2*q**2 + 12*q**2. Let t(x) = 1. Let c be 1\/(-4) - (-50)\/8. Let h(a) = -a - 6. Let b(d) = c*t(d) + h(d). Calculate i(b(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 32724 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 + -15189.8504\nAnswer: -15189.7504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1505 is divided by 400.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(5\/3)*(z**3*z)\/z)\/((z\/(z\/(z**1\/z)))\/z**8)*((z**0)**(-1\/8))**(-2\/11) assuming z is positive.\nAnswer: z**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide (11\/(-2))\/((-23)\/3082)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**3 + h**2 - h - 2. Let u be k(0). Let t(b) = b + 2. Let w be t(-2). What are the prime factors of u\/(-1) - (w + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1558?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the first derivative of p**2\/2 + 4*p - 2. Let u be a(0). Solve v + 5*s = 3*v - 21, -6 = -u*v - 2*s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -48\/7*r + 0 + 4\/7*r**2.\nAnswer: 4*r*(r - 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6*n**2 - 10*n**2 + 18*n**2)*(0*n - 6*n + 4*n) + (22 - 22 + 10*n**2)*(2*n - 5*n + n) to the form v*n**2 + f*n + c + x*n**3 and give x.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 618 + -308. Let h = u + 128. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 2*k**2 - 31*k - 46. Let x(p) = -p**3 + 2*p**2 + 8*p + 17. Let y be x(4). Determine z(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1912793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u = -12 + 17 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4255*w - 1687*w + 1554*w + 5179*w**2 wrt w.\nAnswer: 10358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 24 = -2*l, 3*l = -0*f + 3*f - 21. Suppose -w - f*j - 6 = 0, -2 = 2*w - 2*j - 26. Calculate the remainder when 17 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -41*x**3 + 2*x**2 + 5*x + 2. Let g be o(-1). Suppose 58*h - 53*h = -g. Let w(q) = q**2 + 10*q + 7. Calculate w(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 455 - 2c?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3 - ((-2)\/(-1) - 1). Suppose -16*n + 8 = -24. Solve h*l + 7 = -r, -r - 8 = l - n*r for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, 3\/5, -256?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 - 1. Suppose t*s - b - 14 = 0, -b - 25 = 4*b. Calculate the highest common divisor of 9 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p + p = -40. Let z = p + -7. Let q = 0 - -1. Calculate the remainder when q is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.04 + -0.96. Let i = 2 - n. Let o = 98 - 97.5. Sort -3, 4, i, o.\nAnswer: -3, o, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2543\/4 + 1273\/2. Factor 0*c + 0 - h*c**2.\nAnswer: -3*c**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6*(-108)\/16 - (-50)\/20.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 16*p**2 - 390*p + 1563. Give o(4).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 14 - 226351?\nAnswer: -226338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 5 * -140879\nAnswer: -704395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1bb172 (base 12) in base 8?\nAnswer: 1711046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -193*a - 1056*a - 47999 = 73*a - 9661 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7770 divided by -3.\nAnswer: 2590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4230 = 20*q - 19150. What are the prime factors of q?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k**(-5\/3)\/k))**0*(k\/(k\/k**(-6\/5)))**(-1\/14))**(-2\/21) assuming k is positive.\nAnswer: k**(-2\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -28?  (a) 3  (b) -1.8  (c) 4  (d) -17  (e) -4  (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2506 + -2.\nAnswer: 2504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 991689100 to the nearest one hundred thousand.\nAnswer: 991700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (86 - -2 - (-13 - (30 + (-81 - -33))))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.1  (b) -4  (c) 0.5  (d) 9.3  (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2159606929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23 + -9 - (-15 + 12 + (-11 - (-14 + 7))).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -30 + 31. Suppose -b - n + 3 = 0. Solve 7 = 3*a - z - b, 0 = -4*a + 3*z + 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d - 9 = -3*t, 2*t - 1099*d = -1108*d + 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 991225 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o - 30 = 2*h - o, -3*o - 36 = 3*h. Let v = h - -22. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 533 divided by 161\nAnswer: 533\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**3 - 259421*p**2 - 35295128*p - 1200191568.\nAnswer: (p - 259557)*(p + 68)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -36*u - 318*u + 1977 - 46*u - 1975. Let d(g) = 3*g. Give d(j(x)).\nAnswer: -1200*x + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1046, 1985, 2914, 3827, 4718, 5581, 6410, 7199?\n\"Answer: -w**3 + w**2 + 943*w + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -2*w**2 - 6*w - 1. Let u(x) = -2*x**3 - 6*x**2 - 3*x + 6. Let b be u(-3). Let o = b - 19. Give d(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 2*u. Let s = -4 + 6. Let x(o) = 2 - s + 2*o**2. Calculate x(r(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**2 - b + 4. Let k be f(4). Let y(a) = 446*a - 3480. Let m be y(8). Suppose -k*t + m = -12*t. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**3 - v**2 + v - 1. Let n(k) = 5*k**3 - 3*k**2 + 8*k - 3. Let t(c) = -n(c) + 3*z(c). Find the second derivative of t(g) wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 340 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y\/(y**6\/y))*y*y**(1\/14)*y**3*y*y\/(y\/y**(8\/3))*y)**(-8\/13) assuming y is positive.\nAnswer: y**(-2308\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 888 and 36836904.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 18 = -9. Which is the nearest to x?  (a) 4\/7  (b) 2  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -398*y + 1526 + 1011 + 3433 = 0 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3*(-4)\/24*8. Suppose 0 = 5*t + 3*g + 1, -4*t + 5*g - 28 = -5. What are the prime factors of t\/y - 33\/(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 585755.52 + -108\nAnswer: 585647.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**(-1\/4)*i*i)\/i)\/i*i)**(-20)*(i\/i**(1\/14))\/(i\/(i**0\/i)) assuming i is positive.\nAnswer: i**(-225\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1\/(-2))\/(1*(-2)\/8). Let b be -5 - (-6 + u) - (-2 - 1). Factor -15*h**3 + 18*h**3 + h**b - 12*h + 8*h**2.\nAnswer: 3*h*(h - 1)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4926288 divided by -24\nAnswer: -205262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 3*h = -2. Suppose 0 = 4*d + d - 15. Suppose 0 = 5*n + h*g - 73, -d*g - 2 + 14 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43565461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 + 9)*4\/5 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -4  (b) -19  (c) 1\/67  (d) -4\/7  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4, -38, -82, -128, -176, -226?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -266 - -167. What is the lowest common multiple of ((-2)\/(-1))\/((-6)\/w) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**3\/5 - 35*f**2 + 1023*f\/5 - 1521\/5.\nAnswer: (f - 169)*(f - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, 1\/8, -2.99, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**3\/5 - 398*y**2\/5 + 799*y\/5 - 80.\nAnswer: -(y - 1)**2*(y + 400)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 30943392323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**0)**18*(b**(-1))**(-4))\/((b**0)**(-27)\/(b\/(b**(-1\/3)\/b)*b)**28) assuming b is positive.\nAnswer: b**(292\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 77 and 3399.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 30, -1, 2, -11 in ascending order.\nAnswer: -11, -5, -1, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -6, -26, -32, -18, 22, 94?\n\"Answer: p**3 + p**2 - 30*p + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2988 and 1992.\nAnswer: 5976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 176944 and 432.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.28 - 0.28. Sort -0.2, h, -2, 0.2 in decreasing order.\nAnswer: 0.2, h, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13013*b*d**5 - 12*b*d - 4*b + 3*d - 17 wrt d.\nAnswer: -260260*b*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -104 + 62. Is 13 a factor of (-7 - -6) + (1 - s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-12)\/m**(-3\/2) assuming m is positive.\nAnswer: m**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*(-1)\/6*100\/(-650)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h + 5*h - 3*z - 37, 2*z - 56 = -3*h. Suppose 3*r = -3, 3*r + 139 = o + h. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -3*r - 10. Determine a(11).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 259217?\nAnswer: 7, 19, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, -8684, -3 in decreasing order.\nAnswer: -1\/4, -3, -8684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1873*w + 1881*w + 72 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 2*p - 24 - 123 = 0, 0 = 2*s - 2*p - 56. What is the remainder when s is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 + 1. Let v = -6 - -2. Let m = 4.3 + v. Which is the third smallest value?  (a) m  (b) -0.2  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 79657129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rth when three letters picked without replacement from htrrtrthrhrhthh.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rd when two letters picked without replacement from {o: 1, d: 5, r: 5, x: 1, s: 1, b: 4}?\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-99)\/176)\/((-18)\/672)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**1)**(-2\/23) assuming g is positive.\nAnswer: g**(-2\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 6\/10*(-110)\/(-176)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-11)\/(-2 + 3 + -2). Suppose -390 - 149 = -7*u. Calculate the greatest common divisor of z and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -3  (b) -2\/5  (c) -137  (d) 0.5  (e) -1\/121\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (1*4*sqrt(5))**2.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -66694 by 66694.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, d: 4, g: 1, o: 3}. What is prob of picking 2 o and 1 p?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 68 + (-37 - 20) + (-24 - 1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17 - 17 - 27*h**2 + (-2*h + 2*h + 2*h)*(2 - 2 - h) + 0 - 2*h**2 + 0)*(-4*h + 3*h + 3*h).\nAnswer: -62*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 p, and 1 q when three letters picked without replacement from {p: 5, n: 1, u: 1, m: 3, z: 1, q: 3}?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.003 - 23.003. Let d = k - -24. Let z(n) = -n - 1. Let p be z(0). Sort d, p, 2 in descending order.\nAnswer: 2, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + -31 - -14) + (-1 - -1) + 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d + 2. Let q = -5 + 10. Let p(h) = 2 - 5 + 4. Give q*p(i) - 2*b(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*s - 82 = 47 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68*b - 441 = 19*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -103\/492 and 53\/2656.\nAnswer: 326688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j + 1. Let h(b) = 11*b - 9. Let s(n) = 21*n - 18. Let o(y) = 5*h(y) - 3*s(y). Let u be 2\/24 - (-17666)\/(-2904). What is u*f(p) + o(p)?\nAnswer: -2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c + 1. Let m(n) = -n**2 + 7*n - 10. Let p be m(5). Suppose 2*r + p = 2. Let x be r*(1 + -2)*-1. Let f(h) = -h - 1. What is x*v(b) + 2*f(b)?\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53356 is divided by 121?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 593872\/(-32)*4*-1 + -7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3426696 and 3997812?\nAnswer: 23986872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 8076356?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -71425 divided by 31.\nAnswer: -71425\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 357724506.\nAnswer: 2, 3, 17, 701, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11778 and 381414826.\nAnswer: 3926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from {o: 3, i: 3, c: 3, m: 1, v: 3, l: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5332536*-4.\nAnswer: 21330144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 242869?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -21, -0.01, -0.2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = -3*p - 5*i, -p = 4*i - 10 - 5. Let v(o) = o**2 + 7*o - 37. Let a be v(p). What is the greatest common factor of 671 and a?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*n**2 - 2333768056*n - 340404583700376196.\nAnswer: -4*(n + 291721007)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.8576 - 12.8576. What is the closest to 0.5 in r, 41, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 438 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.2647262 months in decades?\nAnswer: 0.010539385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do -1\/114767 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 25 - 19. Let j be (-4 + 4 + -1)*4\/v. Is 2 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 62332*k**2*s + 53260231*k**2 + 37*s wrt s.\nAnswer: 62332*k**2 + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -910 by 14.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -43 + 60. Calculate the remainder when (280\/(-30))\/((-24)\/252) is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**2 + 9*a - 37. What is i(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**2 + 10*x + 9. Let k be o(-8). Let y(a) = -6*a**2 - 1. Let f(n) = -11*n**2 - 2. Let q(v) = k*y(v) + 4*f(v). Give q(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 688248, 688251, 688254?\n\"Answer: 3*v + 688245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (2 - (5 - 5) - -13) + (0 - 0)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -2*p - 7. Let z be c(-5). Let g(m) = -2*m - z*m + 6*m. Let a(f) = -7*f + 6*f + 2*f. Determine a(g(s)).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13 - -18. Suppose 2*v + 4*x + 5 - 13 = 0, 3*v + m*x - 12 = 0. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the second derivative of v**5\/20 - 7*v**4\/3 + 221*v**3\/6 - 169*v**2 + 2*v - 124. Determine t, given that s(t) = 0.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-2\/11)*n)**(-14))**45\/((n**(2\/13)*n)\/n*(n\/n**(-8))\/n)**(2\/161) assuming n is positive.\nAnswer: n**(-11869642\/23023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17538356?\nAnswer: 2, 11, 17, 23447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 16350 by -15.\nAnswer: -1090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 671.6068 weeks?\nAnswer: 406187792640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 123710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -11*y**2 + 27*y - 5. Give z(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 349 or -3604?\nAnswer: -3604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in thirty-two fifths of a century?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 2*f - 22 - 83, -k = -3*f + 160. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 35 by 40015.\nAnswer: 7\/8003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 40937399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 269*j + 22 + 4 = 267*j, 3*j = -4*a - 35 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0 and 0.198527.\nAnswer: 0.198527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.46 + 0.031. Let w = -0.029 - q. What is the closest to 3\/2 in -0.3, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l - 1 - 1 + 12*l. Is s(4) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 2*x + 4606 = 4*j, -5*j + 5759 = -2*x. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88)\/(sqrt(64) - sqrt(4)))\/(sqrt(200)*2) + sqrt(220)\/(sqrt(5) + -2*sqrt(125)).\nAnswer: -37*sqrt(11)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**2 + 20*v - 35. What is l(-22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -0.24*77\nAnswer: -18.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-2\/5)\/(g*g\/(g\/g**1)))\/(g*g**(-1\/2))**26 assuming g is positive.\nAnswer: g**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9\/(-5 + 98\/19) is divided by (-30)\/(-4)*16\/6?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.249 or 2\/7?\nAnswer: 0.249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 18 and -5.9.\nAnswer: -106.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**42)**(12\/19)\/(((t*t**(-3)*t*t*t)\/t)\/t)**(-11) assuming t is positive.\nAnswer: t**(295\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -48 + 94. Let x = -134 + h. Is 4 a factor of 16\/x + 5\/((-55)\/(-717))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -5*d + 162. What is the highest common divisor of d and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 191629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes before 4:17 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 115 - 2 - 14369943\/129110?\nAnswer: 17\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z + 0*o - 7*o + 6 = 0, -2*z + 0 = 280*o - 286*o + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**3 - 2*t**2 - 1. Let j(m) = m**3 - m**2 - 1. Let u be 5 + (-14 - -25 - 13). Calculate u*h(g) - 5*j(g).\nAnswer: -2*g**3 - g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29 + 42*d - 29.\nAnswer: 42*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 26.599 + -67.5962. Let b = 7.2 + -48.2. Let l = x - b. Round l to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12876 and 6438.\nAnswer: 12876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*t**2 - 6 + 6 + 6*t + 10*t.\nAnswer: 3*t**2 + 16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (48 - -1) + (-12 - (-36 + 31))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 681, 678, 675, 672?\n\"Answer: -3*a + 684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -200*n**2*v*x + 12*n**2*x**2 - 5*n*v*x**2 - n*v + 15*x**2 wrt v.\nAnswer: -200*n**2*x - 5*n*x**2 - n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19767911.\nAnswer: 19767911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 60 + (-44 - -19) - (0 + -8 + 4)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5321647 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 58633608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve q + 2 - 3 = 5*j, 4*q = -16 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 3 - 2)*(4*j**2 - 2*j**2 + 0*j**2) + (2 - 2 - j**2)*(2 + 0 - 1) + 143*j**2 - 553 + 553 to the form i*j + w + n*j**2 and give n.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/20 and (15\/(-10))\/(-3) + (-27)\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -40510 + 40510 - 14801*z to the form b + x*z and give x.\nAnswer: -14801","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4976 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -0.2, -2 in increasing order.\nAnswer: -5, -2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(56)\/(-3*sqrt(8)) - sqrt(7)) + -3.\nAnswer: -6 - 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -4*s**2 + 81*s + 68. Let b be j(21). Solve 5*g - 3*c + 12 = 14, 0 = g + 4*c - b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -23 - -60. Suppose 12 + 6 = i - x, -3*i = 2*x - 54. Let z = -5 + i. What is the remainder when w is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 137.7188kg in grams?\nAnswer: 137718.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**2 - 3*o + 4. Let i be z(5). Let a = 18 - i. Calculate the least common multiple of (a - -2 - 0) + 0 and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-5)\/20*-53471*(5 - 1). Let h = j + -29971. What is h rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 + 1030?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 907*m + 148 = 929*m - 28 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70*i = 68*i + 10. Suppose 0*u - 2275 = -i*u. List the prime factors of u.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -2*f + 1. Let a be s(-1). Suppose -2*x = 5 + a. Are -3 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -3*p - 3*b - 14, -p + 4*b + 4 = 0. What are the prime factors of (p\/5)\/(10\/(-225))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 4*p - 4. Suppose 12 = 2*f + f. What is the units digit of w(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**(-2)\/m)\/m*m\/(m**(-7)\/m))\/(m**(-3\/2)\/(((m**2*m)\/m)\/m)))**(-4\/15) assuming m is positive.\nAnswer: m**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 254715320 to the nearest one hundred thousand.\nAnswer: 254700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24 + 52. Suppose 0 = 11*s - 6*s - 3*l - 108, n = 4*s - 5*l. Solve 4*v = 2*k - s, -v - 5*k + 3*k + 4 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/3, -5, 0.002793, 1, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-393)\/(-12) - (-4)\/16. What is the greatest common divisor of 165 and r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31605 (base 8) in base 6?\nAnswer: 141021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -86\/66285 and -3\/818497.\nAnswer: 110497095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 20 - 3 + 7 + 21 - 5*x. Let b be k(0). Calculate the highest common factor of b and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -4\/17, -2, -111 in decreasing order.\nAnswer: -4\/17, -1, -2, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 614092554 to the power of 1\/2, to the nearest integer?\nAnswer: 24781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes after 7:57 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**3 - 6*o**2 + 3. Let x be t(6). What is z in 5*z**2 - 8*z**4 + 9*z**4 - 3*z - 4*z**x + z = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the second derivative of x**5\/100 - x**4\/60 - 7*x. Factor i(r).\nAnswer: r**2*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**2 - h - 1. Let b(v) = v**3 - 47*v**2 + 98*v - 112. Let k(x) = -b(x) - 2*p(x). Calculate the remainder when 116 is divided by k(47).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1541 and 24187?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 270 divide 361781890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 5*c**2 + 43*c - 13. Let o be s(-9). Suppose -o*u + 5*f = -1460, 0 = 6*f - f - 10. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 0.5  (b) 22  (c) 1  (d) -125\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2922472957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -79 - -112. What is the remainder when r is divided by (-4 - -1 - 12\/(-2))*3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 33 and 92?\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 89278.\nAnswer: 2, 7, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -9\/7, 0, -2369, 1, -0.2 in descending order.\nAnswer: 1, 0, -0.2, -9\/7, -2369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 m and 1 k when four letters picked without replacement from {s: 5, k: 2, m: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 2*m + 20 = 0, 0*i = 3*i + m - 25. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of ((-746145)\/162)\/(3\/(-18))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the third derivative of -11*b**5\/15 - 3*b**4\/8 - 17*b**3\/6 + 2*b**2 + 149. What is the first derivative of n(t) wrt t?\nAnswer: -88*t - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5 - -1 - 1 - 0. Let b(h) = -h**3 + 5*h**2 + 3*h - 1. Calculate b(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.4?  (a) -3  (b) -0.08  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -2981251*i**2 - 4*i. Suppose -12*d + 24 = -18*d. Let k be b(d). Round k to the nearest one million.\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.1190932l?\nAnswer: 119.0932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 16105 and 6?\nAnswer: 96630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-2\/3)\/(k**(-2\/5)\/k)*k**(-9)\/k*k**(-5\/2) assuming k is positive.\nAnswer: k**(-353\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 108 - 48. Suppose s + t = 6*s. Solve -2*r = -2*x - 8, -s = -6*x + 3*x - 3*r for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.10948 - 0.10948. Let x = 7.5 - 8. Let u = 0.4 + x. What is the smallest value in u, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4014221798 plus -4?\nAnswer: 4014221794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = -11 + 43. Let a(m) be the third derivative of -m**6\/120 + 11*m**5\/60 - m**4\/3 - m**3\/6 + 3*m**2. Is a(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**0*s*s**(-1\/4))**6 assuming s is positive.\nAnswer: s**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 841000 is divided by 46722?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 25*f. Let c(a) = -74*a. Calculate -4*c(b) - 11*m(b).\nAnswer: 21*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -12*d + 6. Let k(j) = 114*j - 57. Let o(t) = k(t) + 9*s(t). Let u(y) = 5*y - 3. Suppose 3*p + 11 = -a, 8*a = 4*a - 4*p - 28. What is a*u(w) + 4*o(w)?\nAnswer: -w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*h = 176, -b + h + 2*h + 58 = -3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*p - 2*p + 0*p)*(-1 + 1 + 2*p) - 2*p**2 + p**2 + 10*p**2.\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve r**5\/4 - 86*r**4 + 29559*r**3\/4 - 35164*r**2 + 27860*r = 0 for r.\nAnswer: 0, 1, 4, 140, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 4, d: 5, e: 5}. Give prob of picking 1 d, 1 h, and 1 e.\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -402 - -426. Calculate the lowest common multiple of 24 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes before 10:59 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t**2 + 4053416*t + 2053772658632 = 0. Calculate t.\nAnswer: -1013354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.9, -0.4, -3\/7, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.052 times 5\nAnswer: 0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 minutes after 12:45 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -41, -496, -1759, -4232, -8317, -14416, -22931, -34264?\n\"Answer: -67*a**3 - 2*a**2 + 20*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -14 + (-16 - -67 - 53)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 524 is divided by 45.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**2\/7 + 32*n - 896.\nAnswer: -2*(n - 56)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -96\/7 or -15?\nAnswer: -96\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 4, k: 6, e: 7}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that 1\/3*t**3 + 7*t + 6 + 8\/3*t**2 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.06, 0.045, 0.3.\nAnswer: 0.045, 0.06, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.11 take away 988.1571?\nAnswer: -988.2671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 15 = -5*v. Solve -8 = -3*o + u, v*o - 11 = 2*o - 2*u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-14971)\/(-180895) - (376\/92 - 4). Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -2796, -2800, -2804, -2808, -2812, -2816?\n\"Answer: -4*p - 2792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 138 + -45. Suppose 74 = -4*c + d - v, c = 2*d - 33. Let j = 2 - c. What is the highest common factor of j and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Sum 352 and -1296.\nAnswer: -944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4718.\nAnswer: 2, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3206 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the first derivative of 0*k**2 + 8 - 3\/4*k**4 + 3*k**3 - 12*k. Find i, given that m(i) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 26 = -2*u + 2, 3*c = -3*u + 51. Let r = u - 12. Solve -3*m + r = 4*j, -6*m - 40 = -m - 4*j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-13)\/5 + (-2)\/5. Let g be ((-12)\/b)\/(1 + 0). Suppose -g*w + 13 = 5. Let l(m) = -m**3 + 3*m - 2. Determine l(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 197 minutes after 11:37 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -1327 divided by -23\nAnswer: 1327\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((((n*n**(1\/5)*n)\/n)\/n*n)\/n)**(6\/11))**(-9\/14))**49 assuming n is positive.\nAnswer: n**(-189\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*t + t - 10*t)*(-2*t + 0 + 0).\nAnswer: 34*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 29281 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -56 - (22 + -2) - ((5 - (-5 - -11)) + 13).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the first derivative of 11*p**3\/3 + 4*p**2 - 10*p - 73. What are the prime factors of x(4)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**2 + 1. Let i(r) = r**3 - 10*r**2 - 13*r + 10. Let o be i(11). Let a = -12 - o. Suppose -3*p - 2*p = 2*f, p + 2*f = a. Give s(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -6*r - 261. Let f(x) = -2*x - 93. Let g(h) = 17*f(h) - 6*o(h). Calculate g(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wmizzwzuumwzmmzumww. What is prob of sequence mwm?\nAnswer: 50\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 5*v + 4. Suppose 0 = -2*h - 3*q + 4*q + 52, 2*h - 62 = -4*q. Suppose -3*l + h = -3. Calculate the remainder when y(3) is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1203 (base 9) in base 13?\nAnswer: -53a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -1009*d - 2417. What is the tens digit of u(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 192*o + 1771 + 1877 = 0 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + 4 + 9 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*k**2 + 0*k - 1 + 2*k - 20*k**2 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.33197 take away 44.46?\nAnswer: -45.79197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 + -3. Suppose 2*j = -2*t, -3*t - s - 4 = 4*j. What is the third derivative of -v**5 - 2*v**5 - v**t + v**2 wrt v?\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**2 + t + 3. Suppose 2*u + 4*p = 18, 5*u + p - 32 = 2*u. Suppose -5*k = y - 17, 5*k = y - 4*y + u. Give d(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*c - c - 360 = 2*c. Solve -c = -25*x + 10*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 3 + 5 + 3 + a**2 + a. Let x be d(0). Let t = -7 + x. Solve 5*g - 3*r = 13, 2*g - t*r - 9 = r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -2*r**4\/7 - 20*r**3\/7 - 30*r**2\/7 + 20*r\/7 + 32\/7 = 0.\nAnswer: -8, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22117 - 22117 - 5*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d**2 - 1634264*d - 333852352712 = 0. What is d?\nAnswer: -408566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1000223 + 1?\nAnswer: 1000230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 47031 = -p, 0 = 3*p - 0*p + 5*n + 141101. Let q = -470929\/10 - p. Let c = q - -56. What is the biggest value in 0.2, c, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58273158131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -23*j + 92 - 46. Solve j*k = 3*k - 0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 4879696342?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 218716, 218702, 218682, 218656?\n\"Answer: -3*x**2 - 5*x + 218724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/k**(7\/3))\/k*k*k\/((k\/(k*k\/(k**(-1)*k*k)*k))\/k))\/(k**1)**(-2\/17))\/((k*k**(-4)*k*k**(-1))\/(k**1*k)**(-11\/3)) assuming k is positive.\nAnswer: k**(-130\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6*g**3*i**4 + 14740*g**3 - g**2*i - 3470*g*i**5 wrt i.\nAnswer: 72*g**3*i**2 - 69400*g*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 8956392 to the power of 1\/3, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24699 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3*8\/(-180) - 1368\/135. Let l = 14 - z. What is the greatest common divisor of l and 408?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:46 AM and 12:30 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 226135, 452460, 678785, 905110, 1131435, 1357760?\n\"Answer: 226325*f - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1408 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - t = -8. Suppose -15 = -5*m - t*g + 16, -3*g - 10 = -m. Calculate the remainder when 26 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1963142790 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -25141*f**3*i**3*x**3 + f**3*i**2*x**3 + 5*f**2*i**2 - 2*f**2*i + 2*f*i**2*x**2 - 21*x**3 wrt i?\nAnswer: -150846*f**3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -407 (base 8) to base 16.\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24418970.\nAnswer: 2, 5, 17, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 162 + -161.99571. Round b to 4 decimal places.\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**3 + 5*h**2 + 2*h - 2. Suppose 0 = -5*r + 3*j + 40, 1 = 5*r + 4*j - 4. Let w be q(r). Solve -3*f = -7*f - w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1656 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**4\/9 - 2058032*f**3\/9 + 176479674052*f**2\/3 - 1058871870224*f\/9 + 529434906098\/9.\nAnswer: 2*(f - 514507)**2*(f - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*a + 77*a**3 - 8*a + 29*a - 9*a.\nAnswer: 77*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:27 AM and 9:55 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11.8 - 12.22. Suppose -5*d = -3*n + 5, 8*n = -2*d + 3*n - 2. Which is the nearest to d?  (a) 0.5  (b) v  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/12 - 550\/750\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 15 + (-10 + 12 - (5 - -73) - -17)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 26 + 1*(-3)\/(-1). Suppose 3*h = 4*l - b, -h + 6 = 3*l + 2*h. Solve -y = -4*v + 6, y - 3*v = -0*v - l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-3)\/(-2))\/(3\/(-4)). Let m = 1 + j. Let o be 4\/(-10)*20\/28. Is m less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -26 (base 15) to base 6.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**2 + 6*g + 17. Let a be s(8). Let k be (-16)\/a*(-154)\/28. Let r = -47 + k. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - -3 - -3) + (36 - (-1989)\/(-45))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*v**2 + 4*v**2 + v**2)*(69 + v + 73 - 145).\nAnswer: -v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1029 - 1028.7. Let h = -5 - -7. Which is the third smallest value?  (a) -5  (b) m  (c) -8  (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6*(-33)\/6 - (-9 + (-816)\/(-48))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 50*p**3*r**3*y**3 - 1633*p**3*r**2*y**3 - 3*p**2*r**2*y**3 + p**2*r + 36*p*r**3*y**3 + 21*p*r**3 wrt p?\nAnswer: 300*r**3*y**3 - 9798*r**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 11520341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.24  (b) -3\/8  (c) -2  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(4356))\/(sqrt(12) - (sqrt(12) + sqrt(12) + sqrt(144)\/(sqrt(12) - sqrt(12)*-3))).\nAnswer: -44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 310 + -205. Let h = g + -100. Solve 0 = w + 5*n + 3, -h*w + 3*w - 6 = 4*n for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.3 + -0.5. Let q = r - 2.8. Let u = -0.142 + 0.642. Sort q, -4, u.\nAnswer: -4, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1760 divide 274433726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 3, f: 9, z: 1, e: 2, o: 2}. What is prob of sequence ouu?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-4\/9)\/(((a**7\/a)\/a)\/a)*a**(-1)\/a**(3\/8))\/(a**3*a*a**1)**(-12) assuming a is positive.\nAnswer: a**(3901\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 4, 8 in descending order.\nAnswer: 8, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y + 2433 = 4*c + 2373, 3*y = 4*c - 53 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 8314*v. Let r(h) = -45*h**2. Give q(r(f)).\nAnswer: -374130*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -23c - c?\nAnswer: -24b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the second derivative of 3*j**6\/10 - j**5\/10 + 5*j**3\/6 - 31*j**2 - 429*j. Find the second derivative of r(x) wrt x.\nAnswer: 108*x**2 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**2 - 8*s + 92. Let k be q(6). What is the highest common factor of 56 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 25 = -2*v. Let i be v\/(-2*(-1)\/6). Let n(a) = 2*a - 3. Let r be n(4). Calculate the greatest common factor of r and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.07?  (a) -0.061  (b) -1\/3  (c) 0.5  (d) -3\/5  (e) -4\/11  (f) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 23855 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: -1280759 (base 10) to base 13\nAnswer: -35ac5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 76, 94, 128, 178, 244, 326, 424?\n\"Answer: 8*g**2 - 6*g + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 631 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sum -41 and 1297037803.\nAnswer: 1297037762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -313\/28 - -43\/4. Which is the closest to 0.2?  (a) -0.4  (b) 0.1  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 444073566 to the nearest integer?\nAnswer: 21073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -53 - -96. Let b = 60 - j. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.18767268 and -104.5969.\nAnswer: -104.78457268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -525 = 109*b + 1655 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (24\/7)\/2*(-4368)\/1248. Sort -4, y, 3, 5 in increasing order.\nAnswer: y, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*g**2 - 31*g**3 - 41*g**3 - 48*g**3.\nAnswer: -120*g**3 + 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**3\/4 + 9*a**2\/2 - 33*a\/4 + 4.\nAnswer: -(a - 16)*(a - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*w + 2952 + 1871. Let i = w - 261. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqwqwwjjwqjw. What is prob of picking 4 q?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*n**4 + 2*n**4 - 4*n**4 + (5*n**2 - 5*n**4 - 5*n**2)*(2 + 1 - 5) + n**4 + 2*n**4 - n**4.\nAnswer: 14*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22 + 2912 = -489*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 64 + -63. Calculate the smallest common multiple of 184 and y.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10357298 - 10357298 + p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 163668 divided by 1?\nAnswer: 163668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (24\/(-25))\/(412\/(-1030))*(-120)\/6\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 20 - 223033333000?\nAnswer: -223033332320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(8)*-1 + 1.\nAnswer: -2*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*k**3 + 499500*k**2 + 21487965*k - 21987460 = 0. Calculate k.\nAnswer: -44, 1, 99943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -35110000 to the nearest one million.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -7*d**3 + 3*d**2 + 4*d - 1. Let a(n) = -14*n**3 + 7*n**2 + 9*n - 2. What is 4*a(h) - 9*o(h)?\nAnswer: 7*h**3 + h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z + 3*i - 16 = 0, 3*z - 27*i = -24*i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/17 in 2, -0.1, -0.6739?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56196770?\nAnswer: 2, 5, 7, 802811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*n**3 - 1780*n**2 - 174505*n + 12866280.\nAnswer: 5*(n - 424)*(n - 51)*(n + 119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.194 + 0.294. What is the closest to k in 0.5, -0.5, -0.1, -1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 15 + 5 = 0. Let j be -1 - (-5)\/(-5)*2. Let v be ((j\/1)\/(-9))\/((-1)\/(-12)). Solve -v*q + 20 - 4 = -3*y, 5*q = r*y + 13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1 - 2)*(3 + -9). Let q(u) = u + 3. Let x be q(-3). Suppose 5*h + x*h - 2*p = 276, h = -4*p + 42. What is the greatest common factor of s and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -40 - -17. Let o = t + 21.2. Let f = 6.5 + o. What is f rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1500343.\nAnswer: 13, 131, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 (base 14) in base 2?\nAnswer: 101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/61  (b) -2  (c) 0.3  (d) -0.1876  (e) -2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 4*j + 11 - 1 = 0, 1 = -j. Let c = -53 - -48. Let s be (c + (-3)\/(-3))\/((-4)\/10). Solve -2*l = x*k - 4*k + s, -l - 5*k = -19 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 75\/4 of a decade?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 20 = 6*r. What is the highest common divisor of 70 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z**2 - 29*z - 51. Let n(a) = -2*a - 1. Let j(q) = d(q) + 2*n(q). What are the prime factors of j(-29)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**15)**(1\/39)\/((z*(z\/(z\/z**(1\/9)))\/z)\/z)**(-3\/31))**(-4) assuming z is positive.\nAnswer: z**(-1444\/1209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -6067421, -6067419, -6067417?\n\"Answer: 2*i - 6067423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(2\/5))**(-40)\/(o**(-7)\/o**(-6)) assuming o is positive.\nAnswer: o**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -183 - -103. Let y = l + 80.96. Let x = 0.960028 - y. Round x to six dps.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 1086*a - 3278. Calculate w(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-59)\/(-4956)*-994*(36\/(-4))\/((-3)\/2).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 37351452 divided by 6\nAnswer: 6225242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 7*d**2 - 3*d + 1. Let y(m) = -8*m**2 + 4*m - 1. Suppose 4*z + 4*c = 0, -3*z + 4*c + 28 - 7 = 0. Let s = 17 + -13. Determine s*x(u) + z*y(u).\nAnswer: 4*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1178 is divided by 289.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:23 PM and 12:47 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 - -5164?\nAnswer: 5171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 1676*x**2 - 2*x + 8. Let r(b) = -1118*b**2 + b - 5. What is 5*m(l) + 8*r(l)?\nAnswer: -564*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that s**3 - 261285*s**2\/4 - 1502527*s\/4 + 195981\/2 = 0.\nAnswer: -6, 1\/4, 65327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*f - 21*f + 1 - 1.\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-n + 0*n - 2*n)*(1 - 7 + 2)*(-27 + 34*n + 26*n - 64*n) to the form p*n**2 + g*n + c and give p.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1052.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 10 = 0, -19*p = -2*j - 17*p + 2372. Calculate the greatest common divisor of j and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-240)\/(-52)*(-4953)\/(-762)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5\/2, -2, 0.03, 3\/4, -16, -2\/13?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 1188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(-2)*(-45 + 6). Let g = -42 - l. Which is the smallest value?  (a) g  (b) -0.5  (c) 1\/4  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-80)\/(-24) + (-2)\/6. Let z = -6 - -6. Suppose z = -t*c + 5*c - 58. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -43 - (10 - 39) - (-15 + 4 + -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -6*f - 9*f**2 + 4*f**2 + 20 + 4*f**2. Let q be s(-9). Let t(w) = -w**2 - 10*w - 10. What is t(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*y - 4*y + 1995 = 0. Let o = y - -142. Suppose -4*b + o*b = 245. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 126*t - 130*t = 202, 3*t = -15. What is the closest to -0.16 in -3, -5\/3, c?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -2*d**2. Let x(f) = 17*f + 2. Let z(i) = -32*i - 4. Let h(c) = 7*x(c) + 3*z(c). Give h(b(p)).\nAnswer: -46*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**10*x*x**(5\/6)*x*x\/(x\/(((x**(-11)*x*x)\/x)\/x))*x\/(x*x**(1\/9)*x) assuming x is positive.\nAnswer: x**(13\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = 28 - 37. Suppose 2*s - 18 = -m + 4*m, -q*m = 12. What are the prime factors of 4 - (-88 + -4 - s)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**2 + 2*a - 5. Let o be x(-4). Differentiate p**o - p**3 - 2*p**3 - 4 with respect to p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -13 + 1. Suppose -3*t - 4*b = -26, 2*t + t + 2*b = 16. Suppose -p = t*p. Solve -n + i + 18 = 4*i, l*n - i - 7 = p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**2 + 14*p + 16.\nAnswer: -2*(p - 8)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3\/7  (b) -5\/41  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -64, 3, -0.1, -2, -2\/33?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 75794343 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 1, 115, -0.071 in decreasing order.\nAnswer: 115, 1, -0.071, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-28)\/10)\/(22\/(-55))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, v: 1, q: 1, h: 3, s: 5}. Give prob of picking 1 q and 1 v.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 15 = 4*m. Let n(s) = 41*s - 85*s + 1 + 42*s + s**m. Let j be n(0). Solve -2*t + j + 1 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -1, -4, -2.9, 124, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32696*d - 33313*d - 25*d**3 + 66009*d - 72*d**3.\nAnswer: -97*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that d**4\/2 - 11441*d**3 - 389197*d**2\/2 - 984601*d - 1282344 = 0.\nAnswer: -8, -7, -2, 22899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -73 + 25 + 5*r**2 + 9 - 145.\nAnswer: 5*r**2 - 184","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 5307820 rounded to the nearest ten thousand?\nAnswer: 5310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1089 = 390*g - 5379 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 minus -0.215059149607248?\nAnswer: -0.284940850392752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5049 is divided by 4584.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = -5*y - u, -6 = -2*y + 2*u - 0*u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 39.587 and -5.\nAnswer: -197.935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -34*m. Suppose -i - 12 = 2*d - 5*d, 0 = -4*i. Suppose 2*r - h - 42 = 0, -2*h = -d*r + 2*h + 92. What is the remainder when x(-1) is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 23665.4 and -100559.\nAnswer: -76893.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1406, 1466, 1564, 1700?\nAnswer: 1874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -84*v - 1285. What is h(-15)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*c + 57*c + 618 = 0. What are the prime factors of c?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20 - 13 - -37 - 3)*34\/(-16)?\nAnswer: -17\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the second derivative of -v**6\/10 - 4*v**3\/3 + 17*v**2\/2 + 20*v. Let k(q) be the first derivative of c(q). Differentiate k(n) with respect to n.\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -2*w + 117. Let r(u) = u**2. Give r(j(f)).\nAnswer: 4*f**2 - 468*f + 13689","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -115808458*z**3 + 12*z**2 + 6251221*z wrt z?\nAnswer: -694850748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p - 6 = b, b - 3 = -47995*p + 48000*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3626 is divided by 1810.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is v in -2*v**3 + 4*v**2 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62\/(-372)*(-93609 - -3)?\nAnswer: 15601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/572 and -1\/12012?\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1157911, -2315875, -3473897, -4631977, -5790115, -6948311?\nAnswer: -8106565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, -0.5, -27, -36?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q + 3*q + 0*q)*(9 + 368*q**2 + 169*q**2 - q**2 + 3*q).\nAnswer: 1072*q**3 + 6*q**2 + 18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -2 + sqrt(448) + sqrt(7) - sqrt(63)\/(sqrt(1296)*6 + sqrt(9)).\nAnswer: -2 + 656*sqrt(7)\/73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 808876.7mm in micrometers?\nAnswer: 808876700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.7*-3306.\nAnswer: -2314.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6\/(-9) - (-56)\/(-6). Let w = y - -17. Let p(k) = -k**3 + 7*k**2 + 3*k - 9. List the prime factors of p(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 79287428.\nAnswer: 158574856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*5*1*(sqrt(171) - -1*(-5*sqrt(171) + sqrt(171)) - (sqrt(171) - 2*(3 + sqrt(171)))))**2.\nAnswer: -16200*sqrt(19) + 162000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iccccccdddcicccccic. What is prob of picking 2 c and 2 i?\nAnswer: 39\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -12*m + 4. Let j be d(0). Solve -61*o - j = -59*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 808.0173 months?\nAnswer: 67.334775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -4438*x + 141700. What is u(32)?\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1001111000111 (base 2) in base 16?\nAnswer: 13c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together -29.965 and 0.070498.\nAnswer: -29.894502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Let q = 25 - 22. Put 5, -2, q, 1 in descending order.\nAnswer: 5, q, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**2 - 5*y - 2. Let k be i(6). Let r = 1 + 1. Find the second derivative of -r*d + 3*d + 4*d**4 - 2*d**k wrt d.\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -142*t + 145*t - 12 = 0. Suppose -150 = -2*d + i + 2*i, 4*d - 320 = -t*i. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1190)\/(-42) + 4\/6. Suppose 4*a = 2*w - 22, -5*w - 3*a = -a - 7. Suppose -2*m + 16 = 5*f - v, -3*m + 36 = -w*f. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zgn when three letters picked without replacement from ggnrz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-31 - 79 + 39)*(-2*m**4 + 2*m**4 - 3*m**4) + m**4 - 3*m**4 + 0*m**4 to g*m**4 + p + s*m**2 + f*m + t*m**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the first derivative of -r**3\/3 + 5*r + 9521. Calculate b(-8).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (-2 + 3 + 2 + -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -528  (b) -2  (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17166 divided by 3.\nAnswer: -5722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 5241.525mg?\nAnswer: 0.000005241525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 4*m + 26 = 4*a, 2*m = -10. Suppose 3*t = 2*k - 5, -a*t - 2*k = k - 15. Let p = 362 + -335. Is p less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z**3\/7 + 22*z**2\/7 + 20*z\/7 = 0 for z.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/3 + 0 + (-28)\/(-6). Solve -6 + 1 = -s*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -250*u**5 - 113*u**5 + 37*u**5 + (-7*u + 2*u + 2*u)*(2*u**4 + u**3 - u**3).\nAnswer: -332*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 40\/1260*-18 + 1020\/1834.\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 109 - -12. Let j = a - 90. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -12 - ((-115)\/5 + 11). Solve q = r - 5*g - 25, 8*g - 5 = 3*r + 9*g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the first derivative of f**6\/3 - 2*f**5\/5 - f**4\/2 + 2*f**3\/3 - 132. Solve k(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0 + -3 - -3)*8\/16. Solve 3*y + 4*g = 9*g - 5, k = -2*g + 8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 124 + 4*v + 4*v - 124 - 6*v + v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -22.3  (b) -1\/7  (c) 0  (d) -4  (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 647937.\nAnswer: 3, 71993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (-4 - 1 - 2) + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 550771954, 550771958, 550771966, 550771978, 550771994?\nAnswer: 550772014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**3 + 4*o**2 - 7*o - 9. Calculate x(-6).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7142, 28471, 64020, 113789, 177778, 255987?\nAnswer: 348416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1432229*s**6 - 44960*s**2 + 8*s - 2.\nAnswer: -171867480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -742198.875 rounded to the nearest 1000?\nAnswer: -742000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5985*o**3 - 303*o**3 - 11004*o**3 - 13639*o**3.\nAnswer: -18961*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a century in decades?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 4*z**2 - 3*z - 2. Let p be ((-4)\/(-10))\/((-2)\/10). Let h(i) = -i**3 + 9*i**2 + i + 2. What is the remainder when v(p) is divided by h(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 119, 118, 117, 116, 115, 114?\n\"Answer: -s + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(1\/31)*o*o**(10\/3))\/(o**16)**(-36) assuming o is positive.\nAnswer: o**(54067\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve m - 5*s + 9 = -3, 0 = 5*m + 5*s - 30 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1385715.571 less than 17.859?\nAnswer: 1385733.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117) + 4 + 2*sqrt(117) + -5 + -4)**2 + 3.\nAnswer: -90*sqrt(13) + 1081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*x = -10*x. Suppose 4*f - 13 + 1 = 0, 4*h = 3*f - 9. Solve 0 = 5*d + 3*u - 7, x = -4*d + 2*u - h*u + 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 500136?\nAnswer: 2, 3, 7, 13, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 884 and 78?\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -s - 6. Let z be 8\/10 + s\/(-35). Is 23 a factor of 477\/12 + z\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, 17\/7, -0.1, 5\/3 in decreasing order.\nAnswer: 15, 17\/7, 5\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 22819465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 66\/(-9)*((-1)\/22)\/(49\/588). Let z(p) = p**3 - p - 1. Let a(s) = -2*s**3 - 3*s**2 - s + 6. What is q*z(r) + a(r)?\nAnswer: 2*r**3 - 3*r**2 - 5*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y\/(y*y**(-2)*y)))**(2\/39)*(y**13)**9 assuming y is positive.\nAnswer: y**117","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 + -12. Suppose 654 = 6*x + 252. Let b = x + p. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 + 3. Suppose 0 = -4*m + 3*o + 16, -4*o = 4*m - 2*o - 16. Suppose 5 = 3*t + 2*t + 4*n, z = -m*t + 4*n + 4. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/6 and 54\/(-48)*18\/(-26)?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 times 450.869\nAnswer: -450.869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2 + (-5)\/2)*-106. Suppose 2*w = j + 31, g = 4*w - 3*j - 2*j. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 5974, 11950, 17926?\n\"Answer: 5976*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 0 + -231652?\nAnswer: -231652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 440352 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 164 and 1289656.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-32)\/40*(-490)\/(-392)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 27*k**2 + 8*k - 37. What is n(3)?\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*h + 4. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6*d**2 - 209226*d*v**2 - 12432042*v**2 wrt d?\nAnswer: 12*d - 209226*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Divide 77010025 by -25.\nAnswer: -3080401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2446\/(-8512) - 0) + (-4)\/(-14). Let q = 321\/10336 + y. Is q less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*s + 874 = -16*s. What is the remainder when s is divided by 31?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*j = -126 + 42 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 1056039.6 days?\nAnswer: 150862.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14515902 is divided by 1168.\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3006 - 2979. Calculate the remainder when 97 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m - m + 50. Let t be ((-30)\/2)\/(4\/(-8)*1). Calculate the highest common divisor of m and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 178847566 divided by -178847566\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*x + 0*x**2 - x**2 + 0*x**2 + (3 - 1 + 0)*(-x**2 + 2*x - 2*x) + (-3 + 0 + 5)*(x**2 - 3 + 3) in the form f + a*x**2 + o*x and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15664 + 13858 = -1805*l + 123382 for l.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 155*d**2. Let t(j) = 2*j. Calculate w(t(z)).\nAnswer: 620*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:58 AM and 8:04 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1330011203 (base 4) to base 2.\nAnswer: -1111100000101100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by -1787351.\nAnswer: -1\/1787351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/2*(341\/55)\/(((-90)\/75)\/3)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the third derivative of 2*l**7\/105 - l**5\/20 - 25*l**4\/6 - 126*l**2. Find the second derivative of s(f) wrt f.\nAnswer: 48*f**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4.49 - -281.51. Let r = x - 281. Which is the third smallest value?  (a) r  (b) -4  (c) -2  (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6504*d**3 - 10252*d**3 - 8080*d**3.\nAnswer: -24836*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 13*o**3 + 177*o**2 - 26*o - 67.\nAnswer: 78*o + 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5644 - 5643.99995728. Round q to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, j: 6, v: 1, z: 1, m: 4, k: 4}. What is prob of picking 2 y and 1 z?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/7, -1, 214721, 60?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**2 + 4*h + 12. Calculate s(-9).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 408474.\nAnswer: 2, 3, 11, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 20861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2\/9  (b) 3  (c) 51\/5  (d) 47  (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (3 - -1) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-5\/6)*(c*c**(2\/3)\/c*c)\/c*c)\/((c**6\/c)\/c**0)*(c*(c**2\/c)\/c)**(28\/5)*(c*c**(-2\/3)*c)**18 assuming c is positive.\nAnswer: c**(763\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/15?  (a) -537  (b) 4  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g = -14*b + 296 - 1, 40*b + 60 = 43*b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -152b (base 13) in base 8?\nAnswer: -6007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 7 - (-30)\/(-6 - 0). What is the highest common factor of j and 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3091 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 + -116. Let w = z - -69. Let q = -42.9962 - w. Round q to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*d**2\/4 + 191245*d\/2 - 2701140 = 0 for d.\nAnswer: 312\/11, 6926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 35*o**3 - 37*o**2 - 61*o - 1014082.\nAnswer: 105*o**2 - 74*o - 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4016\/3 + -1355. What is the common denominator of g and 107\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + h = -31, 34 = -a - 5*h - 1. Let u be ((-4)\/(-8))\/((-2)\/(-12)). Suppose -3*l + 0 = u. Sort 0, a, l, -3 in ascending order.\nAnswer: a, -3, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 187 is divided by 67?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4380390415 to the power of 1\/3, to the nearest integer?\nAnswer: 1636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61886 is divided by 53013?\nAnswer: 8873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t + 3*b - 15 + 21, -12 = -4*b. Suppose -3*k + 14 = -a, -a + k - 3*k = 14. Let h = a + 22. Sort t, 4, h in descending order.\nAnswer: h, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the first derivative of -2*u**3\/3 - 9. Let x(k) = 7*k**2. Give d(x(m)).\nAnswer: -98*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1359450, -5437791, -12235034, -21751185, -33986250?\nAnswer: -48940235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2192919, -3\/8, -5, 5?\nAnswer: 2192919","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnnnnnnnnnnvvnvnnnv. What is prob of sequence vnnn?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -93518154 divided by 46759077.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10180 and 9469436?\nAnswer: 2036","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + j + 4*j + 9*j - j**4 - 12*j as u + t*j**3 + h*j**4 + q*j + p*j**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**3 - 31*c**2 - 35*c - 150. What is u(-30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -18, -42, -68, -96, -126, -158?\n\"Answer: -g**2 - 21*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 98638152 and 444?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 4*r - 16 = 0, 0 = -4*n + 3*r - 0*r + 16. Differentiate 3*z**2 + 3 + 2*z**2 - n*z**2 wrt z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 + -4235400034?\nAnswer: -4235400025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-5*2\/10)\/(2\/(-6)). Solve 5*r - 4*b + b - 25 = 0, v*b - 5 = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*i - 13*i - 26 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (942\/21980)\/((-306)\/(-84)).\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1985643387+-2877\nAnswer: -1985646264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(60)\/(sqrt(108)*1).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 442 and 544?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -9*w - 7. Let i(j) = j - 1 + 5*j - 5*j. Let s(f) = h(f) - 4*i(f). Does 25 divide s(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 65066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4557822 - 1901157 = -62*b - 379445. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes before 5:35 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 b, and 1 r when three letters picked without replacement from {b: 13, r: 3, p: 1}?\nAnswer: 39\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the third derivative of -1\/24*p**4 + 0*p + 21*p**2 + 0 - 1\/3*p**3 + 1\/120*p**6 - 1\/20*p**5. Give m(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 53803667 and 23089?\nAnswer: 2099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/7*((-340)\/(-15))\/17?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -81294 divided by 5?\nAnswer: -81294\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 334934370 rounded to the nearest one million?\nAnswer: 335000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5\/181 or 13700?\nAnswer: 13700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25.697871 months to decades.\nAnswer: 0.214148925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 33*f - 367. Let n be i(11). Put -1, n, 2\/7, -48, -5\/3 in increasing order.\nAnswer: -48, n, -5\/3, -1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00011807 to six decimal places.\nAnswer: 0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 898290574?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -2303 divided by 79\nAnswer: -2303\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence utyu when four letters picked without replacement from uuyytyy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 113, -2, 2, -6 in descending order.\nAnswer: 113, 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.244662746 to five dps.\nAnswer: -0.24466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(19) + (sqrt(19)*-2*4)**2 + 2.\nAnswer: sqrt(19) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 4845 = -2*u, -6*u + 2*u + 9765 = -5*w. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (5\/5)\/((-3)\/(-6)). Let r be (1 - 0) + (m - -1). Solve 0 = -4*v - r + 16 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4*(-65)\/312)\/(15\/(-12)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11e5 (base 15) to base 10.\nAnswer: 3815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 8*d**2*m + 106*d*m + 4219*m wrt d.\nAnswer: 16*d*m + 106*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -6*k + 5*k + 47, -4*k - 4 = 0. Calculate the common denominator of (-79)\/n + 3\/(-12) and ((-14)\/231)\/((-2)\/93).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16420, -12, -164 in increasing order.\nAnswer: -164, -12, 16420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w**5\/5 + 1886*w**4\/5 - 11343*w**3\/5 + 17024*w**2\/5 - 7568*w\/5 = 0. Calculate w.\nAnswer: -1892, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 11*x**2 + 29*x. Let z(j) = 2*j**2. Determine v(z(d)).\nAnswer: 44*d**4 + 58*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1440983989?\nAnswer: 811, 853, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -37 + 18. Let s = l - -14. Which is the closest to 2\/7?  (a) s  (b) -2\/5  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2 - 2773*u + 158*u**2 - 13667*u**4 - 43*u**2 + 13676*u**4 + u**5 wrt u.\nAnswer: 20*u**3 + 108*u**2 + 230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**2 - 1063*c + 19836.\nAnswer: (c - 1044)*(c - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2106 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 2*y = 1907, 3*y - 146 - 238 = -g. What are the prime factors of g?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 105, 195, 297, 405, 513, 615, 705, 777?\nAnswer: 825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in two fifths of a century?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 11743\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggggjgjggdgnggg. What is prob of sequence jj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (25 + 1 + 13)*(-4*w**2 + 2*w**4 + 4*w**2 - 2*w + 2*w - w**4 + (-3*w + w + 0*w)*(-3*w**3 - 2*w**3 + 6*w**3)).\nAnswer: -39*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -210677603, -421355209, -632032815, -842710421, -1053388027?\nAnswer: -1264065633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/104818 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 82 + (-5)\/((-20)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 s, and 2 y when four letters picked without replacement from ayyys.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3654679*m**4 + 19310335 wrt m?\nAnswer: -14618716*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*r = -5*r - 4*r. Solve r = 4*d + 2*y - 1 - 7, -12 = 3*y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2364071 - 4283071. Round y to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2667 - 1835. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 80798265?\nAnswer: 3, 5, 1795517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5042728 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -79.8*-55\nAnswer: 4389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**2 - k - 1. Suppose -3*p - 3 = -3*w, -20*p - 2*w = -18*p - 14. Let t(s) = -17*s**2 + 7*s + 7. Calculate p*t(v) + 21*a(v).\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 56 and 63.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 3*d**3 - 3*d**2 + 3*d - 7. Let m(x) = 3*x**3 - 2*x**2 + 2*x - 8. Let l(h) = 3*m(h) - 2*o(h). Differentiate l(t) with respect to t.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*h**2\/5 - 11682*h\/5 - 282675 = 0. Calculate h.\nAnswer: -3769, -125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**3 + 5*t**2 + 30*t + 130. Calculate w(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.3 and 4273887.\nAnswer: -1282166.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -100, 4, -0.2, -20 in decreasing order.\nAnswer: 4, -0.2, -1, -20, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**3 - 627666*l**2 + 2510627*l + 13180902.\nAnswer: (l - 627662)*(l - 7)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 n when two letters picked without replacement from {q: 1, g: 1, t: 2, n: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-5)*1449\/207.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3103248171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.41 + 0.01. Let c = -2.98 + -0.02. Sort -4\/9, q, c.\nAnswer: c, -4\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1 - (2 + -51 + 0) is divided by (-6)\/(-69) - (-2384)\/92?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 20 + 11*i**2 + 0*i**3 + 6*i - 38 + 5*i**3 + 26. Let g be h(-8). Is 38 a factor of (-2)\/(-13) - (g\/13 - 6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 42 + -42.000034. What is w rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 2*y**3 - 13*y + 3. Let m be j(3). Solve 0 = -m*h + 6*h + 72 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**2 + 580*h + 7631. Determine f(-13).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 5\/8 of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2906.711 - -2908. Round v to two dps.\nAnswer: 1.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 52 + -45. Let z(k) = -k**3 + 6*k**2 + 5*k - 4. Give z(q).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3564 + -5129. What is the units digit of c\/(-45) - (-4)\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -13, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - 2 - 0) + (3 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -318 * 6\nAnswer: -1908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mjmvmvmvmj. Give prob of sequence jm.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1\/(8\/10944) - -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the second derivative of 359*s**5\/10 - 689*s**3\/6 + 443*s. What is the second derivative of n(t) wrt t?\nAnswer: 4308*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 2  (b) 1\/3  (c) -0.4  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xqnnnnasxnxxnxsxn. What is prob of picking 2 s and 1 q?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u*u**(-5))*u*u**(2\/7))\/((u**(-1)*u)\/u*u*u)**(-45) assuming u is positive.\nAnswer: u**(359\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide 100032896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 2*v + 3 + 13 = 0, -k - 23 = -5*v. Let b(c) = 2*c. Let g(z) = -15*z. What is k*g(j) + 18*b(j)?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 155 = -15*i - 14*i. Solve -14 = -i*w + 11, -3*d + 5 = -2*w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**2. Let i(v) = -v + 0 + 0 - 10*v**2 + 0. Give i(b(w)).\nAnswer: -10*w**4 + w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 87*n**3*o**2 + 7060*n**3*o - 25*n**2*o**2 + 10*n**2 - 2*n*o**2 + 2*n*o + 6*o**2 wrt n?\nAnswer: 522*o**2 + 42360*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**2 - 17727*z + 17728.\nAnswer: -(z - 1)*(z + 17728)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 22707 and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -53?\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put together -5758621308000 and 109.\nAnswer: -5758621307891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**2. Let z(v) = -16*v + 1. Let x be z(1). Let f = x - -19. Let y(w) = -4 - 2*w**2 + f + 0. Calculate y(u(t)).\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 2*r**3 - r**2 - 10*r + 18. Let d(k) = 2*k**3 - 8*k + 17. What is 5*d(a) - 4*x(a)?\nAnswer: 2*a**3 + 4*a**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qa when two letters picked without replacement from {g: 1, i: 1, q: 10, r: 1, a: 3}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Is 101711 at most as big as 101055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 132 is divided by 103?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/4 + (-7)\/(-2). Suppose -m*a + 3*u + 39 = 0, 11 = -2*u + 1. Suppose 0 = a*r - 11*r + 335. Is r a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(72))**2 + -1 + (sqrt(64)\/sqrt(72) - (sqrt(8) + sqrt(40)\/sqrt(80))))*-2.\nAnswer: -150 + 155*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 4*p - 4 = -a, 2*a - 3*p = 4. Find the third derivative of 3*d**a + d**3 - d**3 - d**3 + 0*d**2 wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10003 - 8003 = -50*t for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 90890*f**4 + 3742*f**3 - 393172*f**2 + 38*f - 4 wrt f.\nAnswer: 2181360*f + 22452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 + 10 = -4*l. Calculate the remainder when 3\/l - (-142)\/3 is divided by (-6)\/(-4) - (-405)\/18.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-7) + 1122\/154. Let b(g) = g + 11. Let m be b(-6). Suppose 5*s = m*r + 55, -2*r - 74 = -5*s - 31. What is the greatest common factor of w and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 284195794?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.498 and -5.\nAnswer: 2.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -85, -128, -207, -328, -497?\nAnswer: -720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o - 11. Let t be m(7). Sort t, 3, 0 in decreasing order.\nAnswer: 3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -2*p + 13. Give f(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1405.3 - -1412.6. Which is the biggest value?  (a) -11  (b) -0.4  (c) r  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 - 14*t**3 + t**3 + 15*t**3 to the form x + d*t + l*t**3 + q*t**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 211706617298 from 0.03.\nAnswer: -211706617297.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n - 6. Let m be x(-8). Let t be (-2)\/2 + (1 - m). Suppose -3*s = -4*o + 4, s + 5*o = 10*o - 5. Which is the biggest value?  (a) t  (b) s  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -248f - 78a?\nAnswer: -2c19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 74*h**3 - 7*h**2 - 8 - 8*h - 150*h**3 + 77*h**3. What is k(8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(154)\/(sqrt(22)\/(sqrt(18) - sqrt(2))))\/(sqrt(49)\/(sqrt(7) - sqrt(28)) + 2*sqrt(175)).\nAnswer: 2*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*v + 5 = -50. Let p be ((-16)\/40)\/((-3)\/v). Which is the closest to 2\/9?  (a) 1\/4  (b) -1  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -130201330212 + 12?\nAnswer: -130201330200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i - 5*d + 44 = 0, 0 = 3*i + 63*d - 64*d + 19 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (11 - 19) + -13 - -28 - -43.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19853645 is divided by 2497?\nAnswer: 2495","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 3*v - 70 = -3*h, -4*h = -3*v - 86. Let n = 27 - h. Suppose l = 5*m - 37, 2*l - 9 = -3*m + n*l. Solve 3*y - 28 = 4*g - y, -m = -4*g - 5*y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 21717 - 19340. Is 16630\/7 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -455326980*k**3 - 1185*k**2 - 1065*k wrt k.\nAnswer: -2731961880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2*(-27)\/63*28\/8. Suppose q - 4 = -g, 3*q - 11 = -q - 3*g. Is q + (60 - o) - 1*3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3067\/45 + -590\/9. Let v(r) be the first derivative of 0*r**2 + 0*r**3 + 8*r - 5 + h*r**5 + 0*r**4. What is the derivative of v(m) wrt m?\nAnswer: 52*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -233 - 143*o**2 + 145*o**2 - 7*o + 6*o + (-3*o + 6 - 6)*(0*o - 2*o + 4*o).\nAnswer: -4*o**2 - o - 233","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 104583 and 426.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**3 + 425*w**2 - 1517*w + 105948. Give p(422).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + i + 18 = 0, -4 = 6*i - 4*i. Solve o = 1 + d for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -7 + 0 + 2 + -5. Which is bigger: -9 or y?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8191 is divided by -2*-1*(-2)\/(-10)*(46 - -114)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2*1)\/(14\/(-7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 3270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1650 and 400?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 63*10\/2100*(-1)\/8*-2*6?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 3*h - 1623594, -15*m + 17*m - 3247202 = h. Round m to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10.46 - -0.21. Let n = -10 - h. What is n rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -46071 - -74422. What are the prime factors of u?\nAnswer: 28351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(14)\/sqrt(8) - -4*(sqrt(112) + sqrt(7)).\nAnswer: 41*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 7*n**3 + 11*n**2 + 9. Let i(b) = -6*b**3 - 11*b**2 - b - 9. Let a(z) = -6*i(z) - 5*t(z). List the prime factors of a(-9).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 36\/10 + (-75)\/25. Let b = 0.4 - 0.41. What is the closest to b in 0.2, 1\/8, p?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 2 = -7, -4*k + 33 = -3*m. Suppose 3*z - 96 = z. Let p = z - 30. Calculate the lowest common multiple of k and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 + -11100100331?\nAnswer: -11100100324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1\/9364 - 37451\/46820. What is the closest to 0.3 in -4, -0.4, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -22, -4, 2 in decreasing order.\nAnswer: 2, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.109 and 8.\nAnswer: -0.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 42594 and 13228872.\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 13\/(-2)*(-12 - -6). Let u = g + 6. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 0*y = -4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 401 is divided by 30?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 5*b - 3*b - 1 + 2. Suppose 2*r = 63 + 3. Suppose 2*g + r = 5*p, p = 3*g - 4*p + 37. What is k(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4793885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-63)\/(21420\/(-40)) - 128\/136.\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**3 + 7*a**2 - 20*a + 33. Let x be n(-9). Solve -17*y - 136 = -x*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:37 AM and 5:54 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -677 and 1209394.\nAnswer: -818759738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2099075 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - -2) + (0 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, k: 1, x: 1, d: 1, e: 1}. Give prob of sequence khx.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1407*c**2*q**2 - 2*c**2*q - 90*c**2 - 4*c*q - 2*q**2 wrt q.\nAnswer: -2814*c**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6449947 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 8*a**2 - 4*a - 7. Let t(w) = -7*w**2 + 3*w + 6. Let z(y) = y**3 + 13*y**2 - y + 2. Let n be z(-13). Let d = n + -20. What is d*u(s) - 6*t(s)?\nAnswer: 2*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 1\/58  (b) 0.0668  (c) 0.1  (d) 0.06  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-65)\/39*(-118)\/(-10). Let r = l - -19. Let j be (4\/(-10))\/((-2)\/(-20)). What is the nearest to 0.1 in j, r, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 57, 93, -1\/7, 0.5, 5?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -8 (base 10) to base 5\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 263198 less than or equal to 263930?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -375, -749, -1127, -1509, -1895, -2285, -2679?\n\"Answer: -2*l**2 - 368*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2027 is divided by 663.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 17 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -68 - 14 - -68 - -68\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -20713*j**3*o - 317*j**2*o + j**2 - 7*j*o + j wrt j?\nAnswer: -124278*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5 - 354\/(-14) - 6\/21. Suppose 11*i + h - 8 = 0. Let s be ((-6)\/(-4))\/(i\/(-28)). What is s rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 9*d. Let i(l) = l**3 + 2*l**2 - 2*l + 1. Let h be i(1). Let k(s) = -s + 2*s - 7*s + h*s. Give -2*f(j) - 5*k(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -313 = 1102*m + 6895 + 2710 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -480 + 3825\/8. Find the common denominator of y and -29\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 8 = 2*k, -33*k + 23*u - 16 = -37*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 + -2. Let t be (s\/3)\/((-4)\/12). Let h = 5 - t. Calculate the remainder when 19 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6111768 and 132?\nAnswer: 67229448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 + (2 - 3 - -2). Let j = y - -4. Is 17 + (-3 - 2) + j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*v**3 - 3*v**3 + 2*v**4 + (-5*v + 10*v - 7*v)*(3*v**3 - 4*v**3 - v**3) + (2*v - 3*v + 0*v)*(-2*v**3 - 2*v**2 + 2*v**2).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 4171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19345, 19356, 19369, 19384, 19401?\nAnswer: 19420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.0477 and 48.\nAnswer: -2.2896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i, 1 g, and 1 y when four letters picked without replacement from gqibisyb?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -180258 + 180267. Suppose 461 + 349 = 5*v. Calculate the highest common factor of v and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(192)\/sqrt(6))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-15) + (-2004)\/180. Is 4.39 <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a second in milliseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 - -618?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (26 + 6 - 11)*(-5*p**2 + 3*p**2 + 4*p**2) to k + f*p**2 + x*p and give f.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 5609853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-150)\/(-18))\/(17\/(-9) + 2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 10, o: 2, b: 1, d: 1}. Give prob of sequence nbon.\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7078.3 + 7078. Sort 9\/20, t, -0.2, -4.\nAnswer: -4, t, -0.2, 9\/20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 120 + -120. Suppose 6*x - 11*x + 2345 = n. List the prime factors of x.\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes before 3:43 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11.8 - 1.6. Let w = -13 - b. Suppose 28 = 5*o - 10*o - 4*g, 4*o - g = -14. Sort w, 0.2, o.\nAnswer: o, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 - 12068\/1512)\/(1\/(-8))?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 13 divided by -5256951\nAnswer: -13\/5256951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3903 + 5961. Calculate the highest common divisor of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q - 52 - 3*q - 7*q + 14*q. Let g be f(12). Solve -3*d + g*d = 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 105798 = -o - 124774. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0.09, -96, 0.2, 5, 0.24.\nAnswer: -96, -1, 0.09, 0.2, 0.24, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 74892457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/(-7) - 1134\/245*(-25)\/10. Solve 0 = -2*p + c - 1, -3*p - 14*c = -12*c + i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z**4\/2 - 27*z**3 - 837*z**2\/2 + 4002*z + 20592 = 0.\nAnswer: -13, -4, 11, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 707158913\/840 + -841856. What is the common denominator of -29\/16 and f?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 236 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7753*c**2 - 1406*c - 1.\nAnswer: 15506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5.8 + 6. Let b = 43 + -42.5. Let q = 11 - 21. Put -1\/4, q, g, b in increasing order.\nAnswer: q, -1\/4, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 87*h - 99*h - 82200 = -612*h for h.\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -2*q**2 + 28*q + 68. Let b be a(16). Solve -j + 43*x - 39*x = 6, b = 5*j - 3*x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 + (10 - 10 - -10 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16366 is divided by 546?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 55914.\nAnswer: 2, 3, 9319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 516485941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1420)\/100)\/((-2)\/10). Suppose 34 + 32 = -a. Let l = a + q. Solve 10*r - z = 5*r + 15, -3*r + 9 = -l*z for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 2 k when three letters picked without replacement from kkkiiik?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -120*s + 31 = -116*s - 5*p, 5*s - 5*p = 35 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -28\/29 in 0.1, -0.04, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**2 + 7*x + 1. Suppose 2*h - 11 = h + w, 2*h = -4*w - 2. Let z be g(h). Is (-1 - -35) + z + 0 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**1)**0*q*q**3*q**4\/q)**(3\/31) assuming q is positive.\nAnswer: q**(21\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 47, 3, 705365 in increasing order.\nAnswer: 3, 47, 705365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5*-339.\nAnswer: -169.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1988.613ug?\nAnswer: 0.001988613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6219577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -187903.674 + 188073. Let c = 552 + -383. Let m = c - n. Round m to 2 dps.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 63.76 - 63. Do -1 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5, -35, -157, -403, -815, -1435, -2305, -3467?\nAnswer: -4963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1*22\/4*(7 + -9). What are the prime factors of 0 - -47 - (-44)\/v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffpyffyyfymmpypfyp. Give prob of sequence mf.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 14 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/245 and (9\/(90\/(-520)))\/(-490)?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10976 is divided by 90.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -2*f - 2. Let h be c(0). Let r = 42 - 43. Is 46 + r\/(8\/12)*h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3520 and 433920.\nAnswer: 4773120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*w**3 + 725*w - 1440*w + 715*w - 18*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46934070 = -13*k + 1032065930. What is k rounded to the nearest 1000000?\nAnswer: 83000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = -2*g - 3*o, 5*o + 3 - 28 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 3*t + 2. Let u be v(6). Suppose 4*r = -18 - 6. Let h be r\/(182\/(-60) + 3). What is the greatest common factor of h and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 4.798531 hours?\nAnswer: 17274711600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-9\/2))**(-3\/2)*(q*q**(-14)*q)**(-18) assuming q is positive.\nAnswer: q**(891\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 10*m**3 + 602*m**2 + 713*m + 137. Determine l(-59).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of h**5 + 12*h**4 + 278*h**3 + 28934*h**2.\nAnswer: 60*h**2 + 288*h + 1668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 - 1)*(-7)\/2. Let r(a) = -4*a**2 - 22*a - 9. Let z be r(-5). Let x(f) = 8 - s - z + 8*f. Give x(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 13 + -1055?\nAnswer: -1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 818?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 390492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 57 - 57. Let a(x) = 44 - 4*x**2 + x**2 + x + 4*x**2. What is the tens digit of a(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -541, -1065, -1573, -2059, -2517?\nAnswer: -2941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 = 4*m - 21. Let g(c) be the third derivative of -5*c**4\/24 + 7*c**3\/6 - c**2. Let t be g(m). Calculate the highest common divisor of t and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 8\/(-28) + (-4)\/(-14). Suppose x*n + 52 = 4*n. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(7200) - (sqrt(7200) + -1)) + sqrt(7200)) + ((sqrt(50) + 4*sqrt(200)\/sqrt(4))**2 - 1*sqrt(1250)).\nAnswer: 275*sqrt(2) + 1255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 3 d when four letters picked without replacement from {a: 3, d: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6)\/(3 - 0 - 4). Suppose -x + 106 = -5*s + 773, 4*x = -4*s + 524. Let y = -79 + s. What is the greatest common factor of y and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u + 40 = -100*y + 105*y, -3*y - 8 = -4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-1\/4))**(44\/3))**4 assuming k is positive.\nAnswer: k**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 106073082*g**5 + 164150277*g**2 wrt g?\nAnswer: 6364384920*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 38\/13 at most as big as 0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.75  (b) 0.8  (c) 1\/33  (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.2, -20, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13 - -26. Let g = w - 1. Let q = 9 + g. What is the greatest common divisor of q and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let q = 46 - 52. Let x(i) = -12*i + 1. Let s(t) = -t. Let g(h) = -4*s(h) + x(h). Is g(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -103\/1525464 and -55\/2288196.\nAnswer: 4576392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1626 (base 11) to base 16.\nAnswer: -825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -44  (b) 0.2  (c) 0.3  (d) -1\/2  (e) -0.3  (f) 1096\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 43, 21, -1817 in increasing order.\nAnswer: -1817, 2, 21, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -1484 divided by -880\nAnswer: 371\/220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 97 a factor of 33116776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -119 > -4\/493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 179140.72+-0.3\nAnswer: 179140.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, a: 1, d: 2, q: 1, s: 1, z: 1}. What is prob of sequence zaed?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6077366819?\nAnswer: 41, 47, 3153797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 431633, 3453099, 11654231, 27624863, 53954829, 93233963, 148052099?\nAnswer: 220999071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 3. Let k(r) be the third derivative of -r**4\/24 - r**3 - 35*r**2 - 2. Calculate 2*k(x) + 5*n(x).\nAnswer: -2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -42*(3\/(-2) + 1). Solve -5*y + 5*v + 25 = 0, 0 = -5*y + v + q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = 2 + 23. Let q(t) be the first derivative of -4\/15*t**s + 0*t**3 + 0*t + 0*t**4 - 2\/9*t**6 + 0*t**2 + 8. Determine j, given that q(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 28 and 204?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.04 and 3.614?\nAnswer: -0.14456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (2255 + 305*u - 86*u - 2255)*(-2*u**2 + 27*u**2 + 15291*u - 15282*u) as n*u**3 + w*u + r + z*u**2 and give n.\nAnswer: 5475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*d = -19*d. Suppose d = 3*q - 345 + 285. Solve 0 = -8*k + q + 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + 2.5. Let j(n) = n + 6. Let a be j(-7). Let o be -2 + a\/3*-3. What is the nearest to o in y, -0.4, 2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.55 - -4.05. Let o = z + -6. Let s = o + 1.39956. What is s rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (16\/4 - 2) + -8. Let r be ((-38)\/(-6))\/((-2)\/w). Let v be r*(-2 - (-12)\/4). Round v to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 18840*i**2 + 18840*i**2 + 116*i**3.\nAnswer: 116*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 50065119 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhfcfcfccf. What is prob of picking 1 f and 1 h?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19038710 is divided by 25?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h - 4 = -4*g, -17*g - 3*h = -14*g - 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/3, -5.4, -13 in descending order.\nAnswer: -5\/3, -5.4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7711 by 41.\nAnswer: -7711\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15 (base 8) to base 4.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kik when three letters picked without replacement from {k: 3, c: 1, i: 13}?\nAnswer: 13\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 - 7 - (20 + 7 + -2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2793 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ski when three letters picked without replacement from kkkkssirk.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**4\/5 + 16*i**3\/5 - 17*i**2\/5.\nAnswer: i**2*(i - 1)*(i + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(175)*-1 + 3 + sqrt(63))**2*1.\nAnswer: -12*sqrt(7) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 41463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 46*p + 3. Let b(i) = -79204 + 13*i**2 - 5*i**2 + 79204. Determine b(y(r)).\nAnswer: 16928*r**2 + 2208*r + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 907550 to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -5*o + 28. Suppose o = -8*p + 11*p. Suppose -2*f = -2, -p*f = 2*y + 3*f - 35. Calculate the greatest common factor of 30 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(8\/7)\/(g**(-1\/12)*g))**(-7\/3))**33 assuming g is positive.\nAnswer: g**(-209\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 183\/9 + (12\/42)\/(1\/(-7)). Determine c so that 10 + 20\/3*c**2 - 5\/3*c**3 + v*c = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/54 and -67\/126?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3560045 divided by -1.\nAnswer: 3560045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2994?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -1945*x**2 - 53*x - 6*x - x**3 - 12*x**4 + 1943*x**2 + 23*x**4 + 3*x**3 as d*x**2 + r*x**4 + q*x + s + f*x**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jyyjccjcjjjjyyc. What is prob of sequence ycc?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1536 divided by -1?\nAnswer: -1536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -13 + -1 + (-2 - -19 - 9)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5398 - -5446. Solve 28*o - 4*o - x = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/1805  (b) -1\/7  (c) -0.5  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.68909 to three dps.\nAnswer: -0.689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 6864*f**2 + 2*f + 12. Let i(a) = -2860*a. Determine t(i(m)).\nAnswer: 56144774400*m**2 - 5720*m + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u = 2*u + 20. Suppose 0 = 5*p + 2*g - 86, -p + 5*p - u*g - 80 = 0. Calculate the remainder when 70 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25629?\nAnswer: 3, 8543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4705689 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.89361 rounded to 1 decimal place?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in -124, 0, 5\/52?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 729849960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*i**3 + 34*i**3 - 5254*i - i**2 + 2*i**2 - 109*i - 69*i**3.\nAnswer: -7*i**3 + i**2 - 5363*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 + -7. Let j = 28 - 22. What is the units digit of 32\/j*r\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:04 AM and 2:36 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2*(-1 + 7\/8). Let v(a) = a**2 - 3*a + 1. Let x be v(2). Which is greater: w or x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -60861*t + 243489. What is n(4)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2 - (4 - (-5 + 8)). Let o = -8 - -11. Suppose o*u + 2*u = 0. Solve q - 3 + a = u for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(297))\/(sqrt(11) - (sqrt(11) - (sqrt(121)*3 + sqrt(121))\/sqrt(11))).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**3 - 6*v**2 - v + 63. Let r be d(9). What is the highest common factor of 66 and r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 3*j = 5*j, j - 12 = 4*x. Let r(u) be the second derivative of 3*u**4\/4 - 3*u**3 - u**2\/2 + 75*u. List the prime factors of r(x).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.026 and -656?\nAnswer: -17.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 32732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 79805 and 36275?\nAnswer: 399025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 417, 1688, 3809, 6786, 10625?\nAnswer: 15332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4\/1241 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0129896946 rounded to six decimal places?\nAnswer: -0.01299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -30*i - 148. Let x be a(-5). Is (8143\/68)\/(x\/8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 2*s + 98. Suppose 4*y + 4*v = 36, 3*y = 5*v - 3*v + 17. Let c(x) = -8*x**2 - y*x**2 - 13*x**2 + 27*x**2. What is c(d(g))?\nAnswer: -4*g**2 - 392*g - 9604","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 207438\/4997 or 41?\nAnswer: 207438\/4997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 6 = 0, h - 3*h - 6 = -5*c. What is the lowest common multiple of 16 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1567637.\nAnswer: 1567637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -34, 3, -2, 5, -4, -11 in descending order.\nAnswer: 5, 3, -2, -4, -11, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is (1174\/(-6))\/((-4)\/12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1247443, -2494932, -3742421, -4989910, -6237399, -7484888?\n\"Answer: -1247489*j + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*u**2 + 288*u + 284.\nAnswer: 4*(u + 1)*(u + 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uvl when three letters picked without replacement from gsvuvslslv.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 51, -3, 3, -9 in increasing order.\nAnswer: -9, -3, 3, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (8*v**2 - 13*v**2 - 5*v**2)*(-2 - 2 + 0 + (1 + 2 - 4)*(4 - 2 - 4))*(v + 0*v - 2 + 0*v) to the form m*v**2 + d + a*v + x*v**3 and give m.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 7291.893719 rounded to the nearest integer?\nAnswer: 7292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*a = -19*a - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-368)\/(-23))\/((-4)\/2*1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -890*k**2 + 11584*k - 184. Give o(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2.64137 and 0.01.\nAnswer: 0.0264137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 2821*q + 455. Let b(i) = 6*i + 1. Let h(g) = -6*g**3 - 12*g**2 - g. Let r be h(-5). Let v(c) = r*b(c) - d(c). Let w(y) = -y. Determine v(w(z)).\nAnswer: 91*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -3*m**2 + 5*m + 1. Let x = 767 - 769. Determine h(x).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**2 + 1981. Is n(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.8 + 0.2. Let p = -4.6 - -5. Let i = 23 + -47\/2. Which is the closest to i?  (a) p  (b) -2\/15  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*((sqrt(1900) - -3*sqrt(1900)) + 5)*2)**2 + 2)*-2.\nAnswer: -2190604 - 28800*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) 2  (c) 68  (d) -217\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*u**3 + 2*u - 3*u**3 + 3*u**3 + (-38 + 2*u + 38)*(-u**2 - u**2 + u**2).\nAnswer: u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15, -15, 3, 51, 141, 285, 495, 783?\nAnswer: 1161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7 and -47\/81661.\nAnswer: 81661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37255954?\nAnswer: 2, 97, 181, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqqq. Give prob of sequence qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -10227, -81392, -274537, -650646, -1270703, -2195692, -3486597?\n\"Answer: -10164*i**3 - 6*i**2 + i - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the first derivative of 5*b**2\/2 + 16. Let v(r) = -7*r. Determine v(j(p)).\nAnswer: -35*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 307931288 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16693447 is divided by 1206?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -2*s + 5, 3*s - 14 = -2*b. Let c be (-84)\/(-112)*b\/9. What is the biggest value in c, 3, -3\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 513 times 148.45?\nAnswer: 76154.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y = -2148 - 20343. Let v = -57787\/18 - y. Find the common denominator of 26\/264 + (-2)\/8 and v.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(1\/4)\/((n*n**(1\/3)*n*n)\/n)*n\/n**7*n**(-1\/10) assuming n is positive.\nAnswer: n**(-491\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5711\/2 + 2855. Let l be (-3 - -2)\/((-19)\/(-2)). What is the nearest to 0 in 0.1, j, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -27*o - 22 = 140 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 + 1. Let r = -531.5 - -534.269. Let p = r + 0.231. Which is the nearest to h?  (a) 5  (b) p  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.53 less than -18.55?\nAnswer: -19.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 145975050 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -11 in 1\/5539, -2\/11, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -2, -2.47, 2\/7, -0.8 in descending order.\nAnswer: 6, 2\/7, -0.8, -2, -2.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1549*a + 5576 - 5576 + (-2 + a + 2)*(1 + 3 - 5) + a + 5*a - 3*a + (3*a - 4*a - a)*(4 - 6 + 4).\nAnswer: 1547*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -22*z + 467. Let i be d(21). Solve 0*a = 4*u + i*a - 9, -3*a = u - 11 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3162477425.\nAnswer: 5, 126499097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 300 and 30?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.02, -7, -0.7, 4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.07 in -1, -0.1, 5, -0.2, -57?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6192901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 14*d**3 - 3*d**2 + d - 2. Let h be v(2). Suppose -16*a + 17 = -319. Let m = h - a. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, -2, 1\/3, 87\/8, -0.0449, 3\/5, 3?\nAnswer: -0.0449","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:41 PM and 12:02 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 315 and 450993.\nAnswer: 47354265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u**4\/3 + 192124*u**3 + 2*u**2\/3 - 192124*u = 0.\nAnswer: -1, 0, 1, 288186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.027463 and -0.01.\nAnswer: -0.00027463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/6)\/(4\/(-12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 90337465?\nAnswer: 5, 29, 623017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -3 - 3, 3*h + j - 14712 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 1494*y**2 - 25. Let p(m) = 1493*m**2 - 34. What is 4*b(f) - 3*p(f)?\nAnswer: 1497*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (-65)\/(-10) + (-5)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-9 + ((-17)\/(-2) - (-43)\/86))\/(-7). Factor 1\/8*r**2 + 19\/8*r + k.\nAnswer: r*(r + 19)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 2*n**2 + 4*n + 3. Let d be m(-2). Let y(i) = 1 - i**d + 1 + 3*i + 0*i**2 + 2*i**2 + 0*i**3. Let j be y(3). Put 5, -3\/7, j in descending order.\nAnswer: 5, j, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 + -5.9. Let v = -3.06 - -3. Let d = a + v. What is d rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 1 e, and 2 o when four letters picked without replacement from {o: 5, d: 1, n: 3, a: 2, z: 4, e: 5}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -64\/165 and -19\/128025480.\nAnswer: 128025480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/2 and 71\/14339608?\nAnswer: 14339608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3285791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1420 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15 - -2. Let z(k) be the third derivative of k**5\/30 - 7*k**4\/6 + 26*k**3\/3 + 385*k**2. What are the prime factors of z(m)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -b**5\/4 - 236*b**4 + 485*b**3 + 11352*b**2 = 0.\nAnswer: -946, -6, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/((-10)\/25)*(-4)\/(-6). What is the smallest value in k, -9, -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b = -4*d - 8, 0 = 5*d + 8 + 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 184287285\/1112 - 165726. Find the common denominator of i and -3\/16.\nAnswer: 2224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11113986.\nAnswer: 2, 3, 13, 37, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 20, 3\/22, -2\/315, 2\/19 in descending order.\nAnswer: 20, 4, 3\/22, 2\/19, -2\/315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*v**2 + 4*v**2 + v**2)*(-4 - v + 4) + (-3 + 3 + 2*v)*(-3538*v**2 + 550*v**2 - 3148*v**2) as x*v**2 + j*v + f + c*v**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*((w**(3\/22)*w)\/w)\/w*w**(1\/35)*w)\/((w**(-2\/111)\/w)\/(w\/w**(-3\/4))))**(18\/11) assuming w is positive.\nAnswer: w**(2016897\/313390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 23021 + 31622?\nAnswer: 54643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 + 4. Let h(r) = r**2 - 7*r - 5. Let m be h(a). Let x = m - -25. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -77045331 divided by 759.\nAnswer: -101509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 12, j: 3, h: 1}.\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -37716 - -1?\nAnswer: -37715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put together -9.514446 and 14.372489.\nAnswer: 4.858043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.022  (b) -338  (c) -0.2  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/6 - 6\/9. Let i be 0 - 2*f - 0. Differentiate -2 + 0*j**2 + 5*j**2 + 0*j**i - 4*j**2 wrt j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 438440 and 36609740?\nAnswer: 73219480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddsaappsss. What is prob of sequence dsds?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 714\/(-210) + (-3)\/15 - 1*-4. Factor -4\/5*p + 6\/5 - l*p**2.\nAnswer: -2*(p - 1)*(p + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 7 + -12 + (-2 - 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-764*q - 436 + 1518*q - 757*q)*(6*q - 3*q - 2*q).\nAnswer: -3*q**2 - 436*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (5 + -2)\/(9\/57). What is the second derivative of f - 19*f - 3*f + n*f**5 wrt f?\nAnswer: 380*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((72\/330)\/((-16)\/80))\/3.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 3*z - 21 = 0, 0 = -p + z - 6*z + 7. Suppose -2*b - 3*y - p = -5*b, -5*b - y = -32. Let j(q) = q**3 - 6*q**2 + q + 1. Determine j(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 18\/5 - 2\/(-5). Suppose f = -5*c + 10, -4*f = s*c + f + 13. Solve -g + c = 2*x - 4, -x = -g - 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 6) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((9108\/(-88))\/207)\/(2*(-1)\/272)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13)*-1 + -1 - sqrt(13) - (sqrt(1573) - sqrt(1573)*-5))*-1.\nAnswer: 1 + 68*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r + i = -10*r + 1, -r + 1 = i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 3, u: 1, n: 2, q: 1, m: 4, a: 1}. What is prob of sequence au?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -416.9053 + -0.0947. Let m = r + 363.8. Round m to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-50)\/100 + 74\/(-36) + 3. Factor 256\/9 - 52\/9*k**3 - 448\/9*k + 80\/3*k**2 + f*k**4.\nAnswer: 4*(k - 4)**3*(k - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = 10, 14 = -0*q + 4*q + f. Let t be 2\/1 + 1 + -3. Let h(l) = -4*l**3 - l. Let p be h(1). Sort p, q, t in increasing order.\nAnswer: p, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 38665.03 - 38668.230046. Let m = 2.8 - -0.4. Let w = p + m. What is w rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 47 + 7523.32.\nAnswer: 7570.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2052909 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 45 + 61. Let g = 57 - u. Let a be (-38)\/8*g\/(-1). What is the highest common factor of 19 and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1\/6*-2)\/(-1). Let j = -6826562\/547 + 12480. Which is bigger: b or j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7215 divided by 5348.\nAnswer: -7215\/5348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1799 = 12*p - 18539. Let b be (-12)\/2 + p\/248. What is the smallest value in b, 2\/11, 0.4, 7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(44)\/sqrt(4))**2*3.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12149213?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 6797958257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (4 + -2)\/2*11. Is u - 3\/3*1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 34 = -3*o, 0 = r + o - 0*o + 6. Let t be (-161)\/3 - r\/12. Calculate the remainder when 2\/(-3) - t\/3 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*g**2 - 8*g**2 + 2*g**2 - 49 to the form b*g**2 + w*g + z and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2388, -11200, -25886, -46446?\n\"Answer: -2937*y**2 - y + 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 237589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 90 - ((-8 - 0) + (-27 - (-9 + -50 + 20)))\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-33)\/(-21) + -1 + (-30)\/(-70). Let f be ((-1 + p)\/3)\/(-4). Solve f*r + 5*r + 15 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vcc when three letters picked without replacement from {v: 5, i: 4, c: 3}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 586, 2343, 5272, 9373?\nAnswer: 14646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -10*j**2 + 3. Let h(y) = -310*y**2 + 95. Let d(t) = 26*t**2 - 8. Let r(u) = -35*d(u) - 3*h(u). Calculate 5*m(p) + 3*r(p).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 18\/12*(-56)\/(-6). Let b = 17 - j. Sort 1, 4, b in decreasing order.\nAnswer: 4, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6609*k + 31944 = 5413*k - 9452*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -14*(-2)\/4*13 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 582290 divided by 18.\nAnswer: 291145\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3050 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 6*w**2. Let h(x) = 237*x**2. Give i(h(d)).\nAnswer: 337014*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -479465822*m*p**3 + 4*m*p - 17*m + 31*p + 75 wrt p.\nAnswer: -2876794932*m*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 409733632 and 2508?\nAnswer: 1229200896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 3*w = -4*y + 10, 5*y - 3*w + 50 = 0. Let i be 94*(-1)\/(y\/(-13)). Let d = i - -123. Which is the second smallest value?  (a) d  (b) -2  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**2 + 2805*d + 332465. Calculate o(-124).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(65)*2*1 + sqrt(65) + -5*(sqrt(65) + sqrt(65)*2))*5)\/((2*sqrt(320))\/((sqrt(44)*-2)\/sqrt(11))))**2.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-1\/13)\/((q**(12\/5)*q)\/q*q*q) assuming q is positive.\nAnswer: q**(-291\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 85.97 + 0.03. Let w = -91.7 + x. Let p = w + 5.70076. Round p to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-99)\/6*(-4)\/(-2). Find the common denominator of 47\/4 and 38\/6*9\/c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5 + 14. Let o = 9.3 - j. Which is the closest to -1\/10?  (a) o  (b) 1\/6  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -119 + (130 - 25) - 98\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-1 + -8*338)*13\/(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:08 PM and 12:42 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = g - 0*g + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -18*v**2 + 11*v + 22. Let l be q(6). Let m = -565 - l. Put -2, -18, m in descending order.\nAnswer: -2, m, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 119\/20 and 37\/48816?\nAnswer: 244080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 - -14. Let s be (-2 + 34)\/4 + -4. Solve -3*p + 4*p - 2*n = a, 8 = -s*n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -143, -1\/2, 3?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -1424*v. Let g(z) = 984*z. Calculate k(g(p)).\nAnswer: -1401216*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*t - 4*t + 6447*t**2 - 5098*t**2 + 6769*t**2.\nAnswer: 8118*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 262 is divided by 50?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38*t + 654 - 17*t - 22*t.\nAnswer: -t + 654","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 times -3248?\nAnswer: -974.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29176*p - 1193 = -29095*p + 58139*p + 1975 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/136 and 107\/170.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/6 + (-8)\/(-6). Let q(o) = -2*o**3 - 2*o**2 + 3*o + 3. Let d be q(-2). Let r be 6 + -1 + -6 + d. Sort 0, r, u in increasing order.\nAnswer: 0, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-2\/15)\/p*p*p)**13*(p**(-2\/7))**(-8\/7) assuming p is positive.\nAnswer: p**(8521\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2525584?\nAnswer: 2, 23, 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 8\/10*(141 - -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 74106992 a multiple of 634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.3 + -1.1. What is the third smallest value in i, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 3*v - 13. Let k(a) = -4*a + 14. Determine -4*k(d) - 5*p(d).\nAnswer: d + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (((-72)\/(-5))\/(-9))\/((-20)\/375). Solve -3*d - 12*d = p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 221 a factor of 22468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 5607?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 2\/7 and -21\/26.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2768 is divided by 910?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -4*a + 38, 2*a = 2*x + 3 + 13. Solve -5*c = -4*c, -2*g - 4*c - a = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -3*l**2 - 22*l - 21. Determine c(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - ((1 - 6) + 7 + -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5797097 or 5797098?\nAnswer: 5797097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-24 + 0)*(-10)\/15. Factor 64*b**3 + 15*b**2 + v - 21*b - 67*b**3 - 7.\nAnswer: -3*(b - 3)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = s + v, -4 = -3*s - 2*v + 2. What is the third derivative of -5*x**s - 40*x**2 - 2*x**4 + 19*x**2 wrt x?\nAnswer: -168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand k - 2*k + 9*k + (-k - 2*k + k + 3*k + 3*k - 4*k + (-2 + 4 - 3)*(0*k - 3*k + 4*k) - 4*k + 5*k + k - 3*k + 4*k - 3*k)*(47 + 18 - 24).\nAnswer: -33*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*p = -27738 - 577. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 200160407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/14 and (-4)\/(-18) - ((-584)\/(-360) - -5)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.297627 centimeters to kilometers.\nAnswer: 0.00009297627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.89, 1.84, 3 in ascending order.\nAnswer: -0.89, 1.84, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -163 - -107. Let k be b\/(-6)*(-8 + -4 + 9). Which is smaller: k or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*a - 15, a - 74 = 2*v - 79 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 61816.\nAnswer: 2, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m + 5*m**2 - 8*m - 1 + 9*m)*(111*m - 267*m + 56*m).\nAnswer: -500*m**3 - 200*m**2 + 100*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10673949 and 2327.\nAnswer: 2327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*s**3 + s**3 + 3*s**3)*(-6*s + s + 3*s)*(155 + 97 - 342).\nAnswer: 180*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*t + 2*t - 4*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1208 is divided by 135?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 315982615 is divided by 1765266?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q + 21 = x, 5 = -16*q + 17*q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -87*b**3*g - 1133*b**2*g wrt b?\nAnswer: -522*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10 - -14. Let u be -1*((-3)\/1 + 0). Let y be (13 + u)\/((-1)\/(-1)). Solve -3*b - y = -l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in twenty-one quarters of a kilogram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 4*u - 26. Find the third derivative of -v**6 - 14*v**2 - 5*v**6 + 0*v**6 - u*v**6 wrt v.\nAnswer: -1440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -30 - -33. Calculate the remainder when 10 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the first derivative of -7 - 3*k - 3\/2*k**2. Let j(y) = y + 6. Let o(u) = u + 7. Let x(g) = -7*j(g) + 6*o(g). Give l(b) - 4*x(b).\nAnswer: b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 155\/66 and 17\/264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - q - 36 = -5*q, -q = -4. Let t(g) = -117*g**3 - 9*g**2 + 10*g. Let w be t(v). Round w to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 116625718 to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/80664 and -71\/75622500.\nAnswer: 151245000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00023556025 to 6 decimal places.\nAnswer: -0.000236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the second derivative of 140*a**3\/3 + 12*a**2 - 845*a - 2. Differentiate r(t) with respect to t.\nAnswer: 280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1705413 rounded to the nearest ten thousand?\nAnswer: 1710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 1468*j - 5681. Is 49 a factor of m(26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 10 + -40884?\nAnswer: -40874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes before 5:54 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the third derivative of 1\/35*s**7 + 0*s**5 - 14*s**2 + 1\/24*s**4 + 0*s + 0*s**3 + 0 + 0*s**6. Find the second derivative of w(l) wrt l.\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, g: 1}. Give prob of sequence vv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1024*h**3 - 50*h - 1038*h**3 + 13*h + 2*h**2 - 2*h**2.\nAnswer: -14*h**3 - 37*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 28157 equal to 28144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 - (38 + 8 + -6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.2756627 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 minutes before 8:18 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -856*k**3 + 402*k + 1713*k**3 + 2*k**2 - 858*k**3 to l*k + i + m*k**2 + t*k**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:16 AM and 6:38 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.2969 - -0.0509. Round w to 2 dps.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1260.9 to the nearest 10.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that 2*i**2\/3 + 57472*i\/9 - 6386\/3 = 0.\nAnswer: -9579, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xggxdlexlgl. Give prob of picking 1 d and 1 g.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -k - v, 4*k + 3*v + 2 = 15. Suppose z - 6 = k*z. Is 6 a factor of z\/(-4) + 87\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = -919 + 9779. Suppose 0 = -5*a - 5*y - 19520, -13812 = 4*a - 4*y + l. What is a rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 12915  (b) -2  (c) -413\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -39 - -29.4. Let y = 3.4 - w. Let b = y - 12.99989. What is b rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i + 23. Let c(h) = 2*h + 20. Let g be c(-17). Calculate z(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + ((sqrt(68) + -1*sqrt(68))*1)**2)*1 + -4*(-1 + sqrt(17)*2) + (4*(sqrt(136) + sqrt(136) + 2*sqrt(136)) + sqrt(136) + sqrt(136))\/sqrt(8).\nAnswer: 7 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3757818 to the power of 1\/2, to the nearest integer?\nAnswer: 1939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the third derivative of 0 + 0*d**3 + 3\/32*d**4 + 1\/320*d**6 + 0*d + 7\/160*d**5 - 40*d**2. Factor a(f).\nAnswer: 3*f*(f + 1)*(f + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:04 PM and 1:46 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2668?\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -3*r. Let j be p(3). Let h = -14 - j. Let m(o) be the third derivative of -o**6\/120 - o**5\/10 - 5*o**4\/24 - 7*o**3\/6 + o**2. Give m(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -76185 divided by -5?\nAnswer: 15237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/3 or -41119\/1399?\nAnswer: -41119\/1399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 9993144341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -6 (base 7) to base 15\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 156\/(-189) - (-8)\/(-28). Is -2 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t = 3*u + 10 - 4, -5*t = -3*u + 16. Suppose p + 4*h = -7, -2*p - 9*h + u = -5*h. Solve -p*d = -8*d + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4490.2 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b = -8, -b = 5*v + 8 + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 23*h - 304. Let w be g(14). Is 38 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ngndgmddgdddmdgdddgd. Give prob of picking 1 m, 1 d, and 2 n.\nAnswer: 22\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 134061 is divided by 201.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**2 - 15*n + 18. Let t be 34\/(-1 - -2) + 0. Suppose 4*y - 2*p = 3*p + 59, 2*y - t = 4*p. Calculate the least common multiple of l(-16) and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -24*v + 190. Let k be h(8). Put -3, k, -17 in descending order.\nAnswer: k, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 + 26. Let n = m - 28. Sort -1\/3, n, -4\/5 in descending order.\nAnswer: -1\/3, -4\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 34000 = -n, -3*c - 102018 = -n - 2*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 24\/(0 + 4)*2. Suppose k*w + 14*w - 12740 = 0. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from {d: 3, y: 4, s: 1, c: 2, z: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 80771 and 51979.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6253 + 12491 - 6248 - 2*w + 2*w**2 + 13*w**3 to c*w**2 + x*w**3 + g*w + l and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes after 9:14 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 7*h = 12. Suppose h - 9 = -3*n. Let g(x) = -x**2 + 0*x**3 + 3*x**3 - 1 - x - n*x**3 - 5*x**3. Determine g(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 13*o + 5. Let m be v(4). Let a = -14 + 15. Let p be (-115)\/(-3) + a\/(-3). Calculate the highest common factor of p and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/50?  (a) 54\/7  (b) -0.2  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10 + -39. Let n be (-99)\/22 - (14\/(-4))\/7. What is the smallest value in k, 4, n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1298405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/48851 > 41230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 32462 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -26*s**3\/7 + 360*s**2\/7 + 594*s\/7 - 2160\/7 = 0. What is s?\nAnswer: -3, 24\/13, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 0*d - 37 = -5*n, 0 = 2*d - 5*n + 1. Let w = -8 + d. Let p be (-2)\/8 + 17\/w. Let t(k) = k - 4. Give t(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 5*i**3 + 26*i**2 - 33*i + 14. Let k(c) = 7*c**3 + 26*c**2 - 32*c + 14. Let a(t) = 5*h(t) - 4*k(t). Solve a(r) = 0 for r.\nAnswer: 2\/3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -199*c = -203*c + 32. Calculate the greatest common factor of 88 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -5*x**2 - 190*x + 48195 = 0?\nAnswer: -119, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vec when three letters picked without replacement from {c: 4, v: 2, j: 6, e: 2, g: 2, u: 4}?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -10*n**2 + 2*n**2 + 0*n**2 + 5*n - n - n**3 + 4. What are the prime factors of z(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = q - 3*s, -4*s + 40 = 3*q - 37. Solve -27*l = -18*l - q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.16 + -3.74. Let t = 1.9 + v. Let z = 3 + t. Which is the second biggest value?  (a) -5  (b) -1  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 340 divided by 64?\nAnswer: 85\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4723  (b) 3  (c) 58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 142, 563, 1268, 2263, 3554, 5147?\n\"Answer: k**3 + 136*k**2 + 6*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 71283143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n + 12 = -4*f, -202730*f = 2*n - 202727*f - 24 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve h = 5*p - 19, -3*h - 21*p + 47 - 12 + 95 = 7 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1016936 (base 12) to base 15\nAnswer: -3e9536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4522883175 to the nearest integer?\nAnswer: 1654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -1.8, -12191, 0.02 in decreasing order.\nAnswer: 0.02, -1.8, -12191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 75\/(-5)*2\/(-6). Suppose 5*w = 4*p - 11, -n*p + 3*w = -8 - 9. Which is the second biggest value?  (a) p  (b) -1  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0259 times -120381?\nAnswer: -3117.8679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.7294 * -4\nAnswer: -2.9176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 691.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 6*l**2 - 191*l + 97. What are the prime factors of v(41)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1807, -4531, -8111, -12547, -17839, -23987, -30991?\n\"Answer: -428*j**2 - 1440*j + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = -2*p + 54. Let m(c) = -18*c**3 - 5*c**2 - 3077*c - 3071. Let y be m(-1). Solve y*i - p*i = -16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 3 + 8 = -x, r = -1. Let a = 13 + x. Suppose 1272 = a*j - 2*u + 279, -331 = -j - 2*u. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3658 - 7?\nAnswer: -3662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-4)*14)\/(5 - (-231)\/(-44)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) -2\/7  (b) 2\/7  (c) -2  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 24795 - 8691. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*b = -6*b + 4*t - 35, t + 20 = 5*b. Solve -b*r + 11 = 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 0 = 5*a. Suppose -3*s - 10 = -4*r - 9, -4*s + 4 = 0. What is the remainder when r is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nljj. Give prob of sequence jj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -2*o**2 + 3*o + 57. Let u be i(-10). Let l = u - -173. Solve 19 = 6*p - 2*p + d, -5*d + 15 = l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*w**2 + 2*w**2 - w**3 + 21*w + 13*w**2 + 0*w**2 - w**2 - 77*w.\nAnswer: -w**3 + 8*w**2 - 56*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 10 - 70 + (2 + 0 - 4)*(6 - 5 + 0))*((v + 0*v - 3*v)*(3*v - v - 4*v) - 3*v**2 - 2*v**2 + 4*v**2 + 2*v**2 - v + v).\nAnswer: -320*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 49748459311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 15 = 0, -2*o + 4*b - 2*b = -10. Suppose -r - 7 = -o*w, -4*r = -w - 0*r. Suppose -2*p + 5 = -j + 1, 4*j - 4 = w*p. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 476 rounded to the nearest 10?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 7) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 3, 24, 2, 4, 5, -23 in descending order.\nAnswer: 24, 11, 5, 4, 3, 2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14289, -14993, -16165, -17811, -19937, -22549?\nAnswer: -25653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve g - 208 = -211 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -29.441 - -130.\nAnswer: 100.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 36*s**2 + 6*s - 14. What is the hundreds digit of a(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 573, 2267, 5077, 8997, 14021, 20143, 27357?\nAnswer: 35657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/h**(-3)*h)\/h**13)\/(h*h**7*h**(-1\/8)) assuming h is positive.\nAnswer: h**(-127\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 199 is divided by 96.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/8 in -1\/6, 3, 1, 2\/33, 219?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 2\/7, 13\/5, 3\/22, -4\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 144\/348*2813\/(-194).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -1\/8, 1721, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -43 (base 9) to base 11\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - (-10 + 2 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22384.\nAnswer: 2, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4 + 3054.878.\nAnswer: 3055.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1397*h - 30290 = -547*h - 37499 - 64191 for h.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.062 - 1.938. Which is the nearest to l?  (a) 0.5  (b) -0.1  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 25902 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 + 10*p - 21*p + 9*p to the form i*p + k and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8 in 5, -0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2\/7, 73, 2\/5, -2\/13, -0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1805 divided by -138124?\nAnswer: 1805\/138124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Are -14831043 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10011000 - -10001?\nAnswer: -10000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 18*l**2 + 31*l - 17. Calculate the remainder when o(4) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*d**3\/9 + 8420*d**2\/3 - 78848*d + 4972912\/9.\nAnswer: 4*(d - 14)**2*(d + 6343)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 78920*40.\nAnswer: 3156800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(396)*-2 + -4 + 5 + -3)**2.\nAnswer: 48*sqrt(11) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 10*s**2 - 34*s + 8. Give k(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11*w**5 - 957*w**4 - 102*w**3 - 155*w + 47469?\nAnswer: 220*w**3 - 11484*w**2 - 612*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 36 and (1 - 49)\/(((-36)\/(-8))\/(-3))?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 5*z**2 + 1. Let o be f(-1). Suppose -4*l = 12 - 28. Suppose 5*k + 15 = 3*t, 3*k + 10 = -2*t + l*t. Solve -x + o*x = k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 + -455743?\nAnswer: -455747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i + w - 858 = 2*i, 2*i + 5*w - 420 = 0. Suppose -5*l + i + 0 = u, -4*l + 5*u = -201. What is the highest common divisor of 836 and l?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -7*x**2 + 12*x - 20. Let v(j) = 6*j**2 - 13*j + 19. Let d(a) = 5*k(a) + 6*v(a). Let s be d(11). Is 8 a factor of (-112)\/21*s\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 9d + 3ac280?\nAnswer: 3ac32d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -478245834 divided by 1.\nAnswer: -478245834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 19\/76 + (42\/(-8))\/(-3). Let j = -127 + 62. Let z = -63 - j. Solve z*t = -k*t - 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-5)\/3 + 2 - (-6960)\/261. Let q = -256 - -256.2. Sort 5, c, q in descending order.\nAnswer: c, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 65683771 and -2822842?\nAnswer: 68506613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*s**2 + 76*s**2 - 44*s**2 - 40*s**2 - 64*s**2 + 113*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 56750383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -77.7 at most as big as 28630?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 equal to 6\/130669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -h**2 + 7*h + 70*h - 2*h**2 + 0*h**2.\nAnswer: -3*h**2 + 77*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2311762877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*l + 5*v - 2*v - 70, 10*l - 5*l = -2*v + 72 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 3*h + 1. Let t be d(1). Suppose 0 = t*k - 5*m + 604020, 0 = 2*m - m - 4. Round k to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52383.\nAnswer: 3, 19, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -28 - -28. What is the nearest to -2\/19 in -1, -0.1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mh when two letters picked without replacement from {r: 5, h: 1, m: 12}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 54 - 173. Find the common denominator of (-8)\/144*(-873)\/(-21) and (20\/18)\/(28\/v).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12 - 2) + 0 + (15 - -2 - (195 + -141)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b + 5*w = 35, -4*b - 23*w + 43*w - 76 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 43.824 tonnes to milligrams.\nAnswer: 43824000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1004001 (base 5) in base 14?\nAnswer: 5c3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/(-10)*(-19 - (-108)\/3 - 32)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11164 is divided by 48.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1362714.1293677 + 0.1293677. Let w = b + 1362713.84000028. Let n = w - -0.16. What is n rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m + r + 9 = 0, 136*r = 137*r + 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-8)\/10 - ((-5802003)\/115)\/9 - 2.\nAnswer: 13, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*c = 1424 - 964 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**(9\/7))\/v**32 assuming v is positive.\nAnswer: v**(-208\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.5, -1.4, -0.2, 2, -3 in decreasing order.\nAnswer: 2, 1.5, -0.2, -1.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 66 + 47 = 0. Calculate the remainder when 73 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 42932\/288011 + -77122273933\/3215930826. Let p = 2\/1861 - g. Find the common denominator of p and (-1)\/(-2)*(-4)\/(-22).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -10927, -85870, -288855, -683902, -1335031, -2306262, -3661615, -5465110?\n\"Answer: -10670*y**3 - y**2 - 250*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 13*y + 85. What are the prime factors of r(9)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*l + 12 = -26*l. Let f be (-3 - l)\/7 + (-4)\/(-28). Suppose -52*o + 47*o + 21355 = f. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3475 - 2358. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {b: 2, u: 4, o: 4, h: 1, a: 3, t: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**3 + 10*r**2 - 21*r + 16. Let j(v) = 26*v**3 + 22*v**3 - 1 - 47*v**3 + v**2. Let i(o) = 10*j(o) - 5*m(o). Factor i(z).\nAnswer: 5*(z - 3)**2*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 34254\/7785*60\/(-22)*(-1)\/(6\/8)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -26952716 take away -4?\nAnswer: -26952712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the first derivative of 15*z**6\/2 - 2*z**5\/5 - 3*z**2\/2 - 171*z + 1166. Find the second derivative of p(o) wrt o.\nAnswer: 900*o**3 - 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-5)\/(314\/16 - 3). Let p = k - -2\/133. What is the third biggest value in p, -2, 0.3, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the first derivative of -8\/21*p**3 + 2\/7*p - 1 - 3\/7*p**2. Factor t(a).\nAnswer: -2*(a + 1)*(4*a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11 + -8. Let g = p + 13. Let r be (-22799996)\/g + (-6)\/(-9). Round r to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 94, 104, 120, 142, 170?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18312894359.26 + -747.\nAnswer: 18312893612.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - (0 + -2) - (14 - 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 39319142?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000006898 to 7 dps.\nAnswer: 0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9485896 or 2\/9?\nAnswer: -9485896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**3 + 9*d**2 + 7*d + 39. Give q(-9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -366252 by 30521.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5119 is divided by 270.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 426.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is (((-6)\/21)\/((-44)\/(-4543)))\/((-2)\/17396) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**2. Let d(p) be the first derivative of p**4\/12 + p**2 - 1. Let q(x) be the second derivative of d(x). Give y(q(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/10 + (-1)\/(-5). Suppose d = 3*u - 4 - 5. Sort -5, u, -4\/7 in ascending order.\nAnswer: -5, -4\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-721)\/(-63) - 12)*9\/(-15). Which is the fifth biggest value?  (a) 1  (b) -4  (c) 2  (d) -5  (e) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 4 = -2. Let j(v) = 7*v**2 + 4*v**s + 3*v + 1 - 13*v**2. What is j(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -2*b**3 - 109*b**2 - 47*b + 342. What is h(-54)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 403*b - 156*b - 6701313 - 10943132 = 0. What is the ten thousands digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/(-9) - (-22)\/18. Let i be 2 - 0*n\/2. Solve 5*o - 9 - 6 = 5*k, 0 = o - i*k - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + ((11 - 2) + -5 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5801 - 92743\/16. Find the common denominator of 16\/(-152) + (-1239)\/1406 and n.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 34 = -208. Let v be (h + 3)\/1 + -3. What is v rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 321 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 145096 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:51 AM and 12:10 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 1)*(-2*o - o + o)*(-9*o**3 + 11 - 11 + (3 + 0 - 1)*(-2*o**3 + o**3 + 0*o**3) - 1 - 3*o**3 + 1 + 5*o - o**3 - 5*o).\nAnswer: -30*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -2.28 and -0.2927?\nAnswer: 1.9873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**2 + 7*u - 7. Suppose -4*t = 2*y - 48, 4*t - 4*y + y = 48. Let b = t - 7. What is the units digit of q(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -136 - -214. Suppose g - f = -2*g. What is the remainder when g is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:23 AM and 1:48 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 23167, -108, 2 in descending order.\nAnswer: 23167, 2, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56*z**2 + 10*z**3 - 56*z**2 - 12*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*r**2 - 33 + 33)*(-2*r**3 + r**3 + 2*r**3 + (0*r**2 - 12*r**2 + r**2)*(3*r + 4 - 4)) + 0*r**5 + 2*r**5 - 6*r**5.\nAnswer: 316*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-1))**(-6\/5)*(c**(-5)\/c)\/c*c\/(c\/(c\/(c*c**(4\/5)))))\/((c**(-2\/7))**(2\/17)*(c**(2\/3)\/c)\/c*c**(-3)) assuming c is positive.\nAnswer: c**(-3986\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(833) + -2 + sqrt(833))**2*2 + sqrt(833) + sqrt(833) + -1*(sqrt(833) + 2 - sqrt(833))**2)*6 + 0.\nAnswer: -588*sqrt(17) + 40008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 4*s + 0 + 15 = 0, 5*s = 25. Suppose w + 2*w + 175 = l*b, 4*w = 0. Let v be (-35)\/(-21)*6\/b. What is the smallest value in -1\/3, 3, v?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 10*f*t**2*u**2 - 2*f*t - 32*f*u**2 + 4*t**2*u wrt t?\nAnswer: 20*f*t*u**2 - 2*f + 8*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-68)\/14 + (-3)\/21.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -5*b**2 - 2 - 2 - b**2 + b + 0*b**2 + b**3. What is w(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**0)**(-28)*(v*v**(-3\/8)*v)\/(v\/(v*v**(2\/9))))\/(v**(-1\/12)\/v**(3\/8)*v\/v**(-1\/4)*v*v\/v**(1\/2)) assuming v is positive.\nAnswer: v**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-8)\/3*(-59)\/(-118). What is the closest to -1 in -0.074, h, 1\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -12*m - 9*m**2 - 41*m**3 - 43*m**3 + 17 + 83*m**3. Let l be c(-7). Solve l*u + 2*y = 15, -2*u + 3*y = -9 - 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the second derivative of 200*o**7\/21 - o**6\/15 + 11*o**4\/6 - 2*o**3\/3 - 189*o. What is the third derivative of n(v) wrt v?\nAnswer: 24000*v**2 - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2307 + 2727 - 42319*v**2 - 5034 to the form p*v + d + x*v**2 and give x.\nAnswer: -42319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.069 + 0.02. Let n = 13.251 - l. Let y = n + -13. Which is greater: 1\/7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -6*x**2 - 1118*x + 5782. Calculate l(5).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2824c + -177?\nAnswer: 280d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.28 - 27.22. Let o = 13.51 + 15.49. Let t = o + z. What is the closest to -2\/3 in -2, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -108*g**5 + 12*g**4 + 116*g**3 - 12*g**2 - 8*g = 0. What is g?\nAnswer: -1, -2\/9, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1095 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 34589?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 41 - 20 = -3*f, 0 = f - 3*d - 18. Let p = f + 28. Let i = p - 50. Let l(m) = m + 1. Determine l(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (97*r**3 - 515844 + 515844)*(4 - 10*r - 3*r - 4) as k*r**2 + l + u*r**4 + b*r + q*r**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*5*6\/(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 2*n. Let v(h) = 3*h. Let c(b) = -4*p(b) + 3*v(b). Let k(q) = -3*q - 70. Let s(r) = 24*r + 595. Let a(f) = 17*k(f) + 2*s(f). What is a(c(x))?\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-39*c - 26*c + 8*c)*(-4 - 3*c + 4).\nAnswer: 171*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -687 - -968. Suppose 274*n + 42 = w*n. Suppose 5*r - 4*v = 22, 4*v - 5*v = 2*r - 1. Put n, r, -2 in descending order.\nAnswer: n, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -63333*x**3 + 31655*x**3 + 31616*x**3.\nAnswer: -62*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-8)\/22*2\/4. Let y(p) = 3*p + 16. Let k be y(-5). Which is the smallest value?  (a) s  (b) -1  (c) k  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-110)\/(-322) - (-252)\/2898. Factor 6\/7 - 6\/7*h**2 + 3\/7*h - d*h**3.\nAnswer: -3*(h - 1)*(h + 1)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18873.01 micrograms in tonnes?\nAnswer: 0.00000001887301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1865\/742 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:40 PM and 1:45 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -23*p + 1. Suppose 2*r = -3*v - 15, -v - r + 6 = -4*v. Is 18 a factor of f(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -12*u**2. Suppose -v - v = -3*f + 14, -f - 3*v + 1 = 0. Let r(a) = -4 + 0*a + f + 2*a. Determine i(r(t)).\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 + -8. Let n be (13 - 1)*m\/(-4). Suppose 134*h - 1155 - 453 = 0. Calculate the highest common divisor of h and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 10*r. Let j be (-469)\/(-134)*(-8)\/(-14). Let y(q) be the third derivative of 0*q + 0*q**4 + 0*q**3 + 15*q**j + 0 + 1\/60*q**5. Calculate i(y(o)).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 2 = 8. Suppose 3*u - u - v = -2*l, 5*l = 3*u - 23. Suppose -y = -2*r - u*y + 1500, 4*r = -5*y + 2990. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -25*g + 175*g - 87*g + 252*g as v + q*g and give q.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 37738783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 107 a factor of 1177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(0 + (-5*4*sqrt(170)*2)\/((sqrt(70) - sqrt(70)*-2)\/sqrt(7) + (sqrt(100)\/sqrt(90) - sqrt(10)))).\nAnswer: 240*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1827*x - 108337683 = -1956*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6928139 is divided by 36084.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -3  (b) 6422  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54675*q**2 - 33210*q - 5043 = 0. Calculate q.\nAnswer: -41\/135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that 34572*z**4 + 34568*z**3 - 138292*z**2 - 138272*z + 16 = 0.\nAnswer: -2, -1, 1\/8643, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*s = 22 + 38. Solve -s*k = -3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the second derivative of 2*b**3\/3 - b**2\/2 - 7*b. Differentiate t(z) with respect to z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-40)\/6*(-42)\/35. Suppose 0 = -a*u + 10*u - 268. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) -269  (c) -0.16  (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2554191962?\nAnswer: 2, 7, 17, 10731899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -44 + ((-1302)\/372)\/((-7)\/18)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 4 + 3)*(-4 + 0 + 2)*(0 + 2 + c - 3*c).\nAnswer: -8*c + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*sqrt(132)\/(-3*sqrt(12)).\nAnswer: 5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0181864 days in minutes?\nAnswer: 26.188416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1149966313 to the nearest integer?\nAnswer: 33911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4 + 4 + 13*a**2 + 2*a**2 wrt a?\nAnswer: 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, 12, 5, -5, -57, 4 in decreasing order.\nAnswer: 12, 5, 4, -2, -3, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5 + 1371?\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 divided by -9602?\nAnswer: -9\/4801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 483 divide 661321185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -74 = b + 8*d, 4*b - 6*b + 41 = -8*d - 51 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 64892961 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*b**5 - 2*b**3 + b**4 + 7655*b - 7655*b + (-2*b**3 - 4*b**3 + 5*b**3)*(-b**2 + 0*b**2 + 0*b**2).\nAnswer: -8*b**5 + b**4 - 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y**2 + 6461922*y + 3230962 = 0.\nAnswer: -1\/2, 1615481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 38\/(-40) - (-57)\/76. Put -4\/3, 14, q in increasing order.\nAnswer: -4\/3, q, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:04 AM and 3:15 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((6\/(-4))\/((-10)\/(-5)))\/((402\/67)\/120)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, b: 3, f: 2, p: 2, s: 4}. Give prob of sequence bp.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1282.\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.1  (b) 0  (c) -1\/5  (d) -1\/38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (-2*sqrt(104))\/sqrt(8) - (-5 + -1*sqrt(13) + -3))**2.\nAnswer: -26*sqrt(13) + 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 58436\/(-98) + (-4)\/(-14). Let u = 599 + s. Factor 28\/5*p**4 + 0 + 0*p - 4\/5*p**5 - 64\/5*p**2 - 32\/5*p**u.\nAnswer: -4*p**2*(p - 4)**2*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h**3 + 4*h - 4*h + (-1 + 1 - 2*h)*(0*h**2 - 4*h**2 + 6*h**2) - 4*h**3 + 3*h**3 + 2*h**3)*(162*h - 350 + 350).\nAnswer: -162*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/11155 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**2 + 35 - 37 - l - 625838*l**3 + 113339*l**3. Let m be w(2). Round m to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 2*o - 44 + 14 = 0, -l = 2*o - 2. Suppose -6*n - 1142 = -l*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1191739 take away -0.4?\nAnswer: -1191738.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 7915 and -1.241.\nAnswer: -9822.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -87 + 86*i - 259*i + 87 - 387*i - 125*i.\nAnswer: -685*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*a = 8*a. Let g(s) = -s**3 - 2*s**2 + 2*s + 11. Let j be g(a). Let i(f) = f**2 - f + 2. Let x be i(-4). What is the highest common factor of j and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*p + 0*p**3 - 57*p - 2*p**3 + 841072*p**2 + 28*p.\nAnswer: -2*p**3 + 841072*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -108 + 112. Suppose -11*p + 4*a + 697 = -6*p, 0 = q*p + a - 566. What is the remainder when p is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -17 + 7 + 5 + -2 + 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/349598 or 1?\nAnswer: -1\/349598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -2*c + 89493, 36*c - 2*k = 38*c - 89500. What is the thousands digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -24*z**2 - 66 + 94*z - 94*z - 3*z**2 wrt z.\nAnswer: -54*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3 - 2\/6)*3. Let p = a + 3. Let y(r) = r**2 + 2*r - 8. What are the prime factors of y(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2d7168 (base 14) to base 12\nAnswer: -64a934","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2464936977?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1771 + -1255. What is the highest common divisor of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 198919 is divided by 57?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 103 - 110. Is (-1)\/3 - (j - (-5193)\/(-27)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, y: 7}. What is prob of picking 2 v?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -32.2 + 32. Let u = 3\/10 + -89\/230. Which is the third biggest value?  (a) o  (b) u  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 121*f - 2137. Let s(y) = -19*y + 356. What is 6*j(t) + 38*s(t)?\nAnswer: 4*t + 706","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*t**2 - 74*t**2 + 43*t**2.\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 + 17. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2833 and ((-153)\/(-15) - (-6 - -17))*(-10)\/4?\nAnswer: 5666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 300 - 200212?\nAnswer: -144412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(4*sqrt(320))\/sqrt(10).\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 65 and 5330.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 488\/(-56) + 6 + 580\/(-295) + 28\/(-826)?\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = m + 9*b + 268, -2*m = 12050*b - 12051*b - 34 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1.504 and -2.3?\nAnswer: 0.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + y = 66, 2*w - y - 35 - 109 = 0. Solve 18*z = 4*z - w for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 429*x**5 + 1 - 513*x**3 + 10 + 513*x**3 + 31 - 18*x wrt x.\nAnswer: 8580*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) + (sqrt(95)\/sqrt(5))**2 + 5 + sqrt(19))*6.\nAnswer: 12*sqrt(19) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**2 - 4*j - 2. Let u be o(5). Suppose 0 = -u*z + 4*b - 1, 0 = -10*z + 5*z - 4*b + 9. What is the units digit of z\/(-3 - (-30)\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2609, -4, -2\/33, -0.22, 1\/3?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -4*h - 3. Let s(a) = -7*a - 5. Let f(t) = 10*d(t) - 6*s(t). Suppose 4*p = -3 + 15. Let x(b) = -b - p*b + 3*b. What is -6*f(w) - 13*x(w)?\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 665031901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 128963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 12, -207, 1\/3, 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14044*j + 12305*j + 228106 = 75074 for j.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -321 + 645 - 313 + 8*k. Let c be o(-1). Let i(l) = -l**3 + 8*l**2 + 5*l. Let p(s) = -3*s**2 - 2*s. Calculate c*i(h) + 8*p(h).\nAnswer: -3*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1408277 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 110397945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 98442?\nAnswer: 2, 3, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2393902 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*r - r - 2*r**5 - 4*r + (-2*r**3 + 5*r**3 - 2*r**3)*(4*r**2 + r**2 - r**2) + 4 - 4 + 3*r**5 + 2*r**5 + 2 - 2 - 2*r**5 + 3*r**5 + 0*r**5.\nAnswer: 8*r**5 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 4272600 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 11, p: 1, o: 1}. What is prob of picking 1 o and 3 n?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20, -48, -76?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 4*v = 155, -93 = -3*a - 0*v + v. Let f = -10 + a. Which is bigger: f or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 177*c + 225. Let y be u(-6). Let t = -635 - y. Calculate the remainder when t is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**3 + 2*w**2 + 4*w. Let i(s) be the first derivative of s**4\/4 - 4*s**3\/3 - 9*s**2\/2 - 57. Give 5*b(c) + 2*i(c).\nAnswer: -3*c**3 + 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 + a299?\nAnswer: a299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -4\/34125 and 31\/88113?\nAnswer: 1002285375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 2 + 1 + 4*v - 1 - 3. Let j be x(-1). Sort 4, -4, j in descending order.\nAnswer: 4, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3.5 - -2.5. Let i be 128\/125*4\/6. Let o = i - 2\/125. Which is the nearest to o?  (a) 1\/2  (b) s  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 20997*q**2 + 142*q - 23 wrt q.\nAnswer: 41994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 488\/679 - 42\/97. Sort -4, m, 2\/19, -2\/5, 2.\nAnswer: -4, -2\/5, 2\/19, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6915967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in -6, 2, 2\/3, -9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(704) - (-1 + sqrt(704) + sqrt(704))**2) + 0 + sqrt(704)*1 + 5.\nAnswer: -152*sqrt(11) + 11273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3180876 is divided by 86.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 + -1. Let h(t) be the third derivative of -t**5\/60 + t**4\/24 + 19*t**3\/2 - 9*t**2. Let p be h(c). Round p to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 797387 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2046*m**2 - 333*m**2 - 1673*m**2.\nAnswer: 40*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -33 + 46. Let z = 18 - q. Let f = 0.41 + -0.01. Which is the biggest value?  (a) f  (b) 1\/10  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the first derivative of d**4\/4 - d**3\/3 - 2*d**2 + 4*d + 34. Factor z(n).\nAnswer: (n - 2)*(n - 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:55 PM and 6:07 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 2*f + 10 - 0, 5*y = -2*f + 25. Suppose -w = 4*t - 3*w - 16, -3*t + w = -13. What is the smallest common multiple of y and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61256 is divided by 562?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 1 s when three letters picked without replacement from {z: 4, s: 2, f: 1, g: 1, y: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 2*n**2 + 2*n - 2. Let d(y) = y**3 - 5*y**2 - 5*y + 3. Give -2*d(s) - 5*x(s).\nAnswer: -2*s**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -458*v**2 + 34*v - 59245 wrt v.\nAnswer: -916*v + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 12  (b) 1  (c) -1197  (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -20*w**2. Let s(x) be the third derivative of x**6\/90 + 125*x**4\/24 + 3*x**2 - 24*x. Let z(d) be the second derivative of s(d). Give z(r(y)).\nAnswer: -160*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (((-2)\/(-3))\/(6\/9))\/(-166 + 165). Let i(u) = 35*u**2 - 1. Determine i(a).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 94063?\nAnswer: 94063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**2 - 10*d - 17. Let y be l(-7). Suppose -p = -y*p + 6. Solve 0 = -p*a - 0 + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.56266426 - -0.5626. Round p to 6 decimal places.\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(2\/17)*k**7*k**(-16\/7)\/k*k**16 assuming k is positive.\nAnswer: k**(2360\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -767*f**4 - 226*f**2 - 2119*f**2 + 211*f**2 wrt f?\nAnswer: -18408*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 338032?\nAnswer: 2, 37, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 28314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 - 2*v - 2 + v + (0*v - 3*v - 3*v)*(7 + 2 + 4).\nAnswer: -79*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-31 - -29) + 72\/34.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -2*v - v. Differentiate -8 - 4*u**3 + 11*u**v - 4*u**3 with respect to u.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 26 - 11*y - 26 - 6*y**2. Let l(u) = 13*u**2 + 2*u + 12. Let h(r) = -2*r**2 - 2. Let d(k) = 6*h(k) + l(k). Determine -33*d(n) - 6*v(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 311351 is divided by 30480.\nAnswer: 6551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 7770131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9 - 1941*j**3 - 6 - 521*j**3 + 307*j**3 to f*j**2 + d*j**3 + t + x*j and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.06 - 1.06025. Round u to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1890048 a multiple of 1284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 3, t: 4, c: 3, u: 1}. What is prob of picking 2 c and 2 j?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.055 times 107?\nAnswer: 5.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 2\/11, 2, 46.5, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*q = 44*q - 22*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 123*o**2 + o - 1. Let y be q(-2). Suppose -5*s + 2*l + 380 = -y, -3*s = -l - 522. What is the highest common divisor of s and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*s - 5*s - s)*(5 - 5 + s) + (3*s**2 - 7*s**2 - 7*s**2)*(-4 + 4 + 1) - 26*s + 11*s - s**2 + 14*s - 2 in the form k + w*s**2 + p*s and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 72069088 plus -0.1?\nAnswer: 72069087.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1763381 = -16*k + 581915. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 7072 and 0.5758?\nAnswer: 4072.0576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -167455, -334869, -502283, -669697, -837111?\n\"Answer: -167414*f - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -504, -1451, -2856, -4725, -7064, -9879, -13176, -16961?\nAnswer: -21240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*n + 7 - n - 2*n**3 - 1 + 3*n to j*n + h*n**3 + d + f*n**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 23 + -14. Which is bigger: 10 or m?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*q + 0 + 0)*(1 + 0 - 3) + 1 - 1 - q - 42*q + q - 66*q)*(-1 + 6 + 2)*(-4 + 2 + 1).\nAnswer: 728*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -2*p + 1. Determine i(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*i - 3*i - 231 = 0. Suppose -o - 4*o + 10 = 0. Suppose -i + 2 = -b - 5*q, o*q - 2 = 0. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**3 + d**2 + d. Let t(f) = f**3 + 8. Let a(i) = 2*c(i) + t(i). Give a(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.1 from -21317.\nAnswer: -21317.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -387*m + 789. Calculate k(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 58303551 greater than or equal to 58303544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -3  (b) -2\/3  (c) 74  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7958973 milliseconds in nanoseconds?\nAnswer: 795897.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 26.7, 955, 1.2, 1, 2\/11 in descending order.\nAnswer: 955, 26.7, 1.2, 1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3082 - -8463. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*p**3 + 20*p**3 - 61*p**3 - 40*p**3 - 37*p**3.\nAnswer: -96*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-5)\/y**(1\/9)*y*y\/y**(-2)*y*(y*y**(-1\/3))\/y*(y**(-5\/3)\/(y*y**(-5)*y*y))\/(y**1*y)**(1\/6) assuming y is positive.\nAnswer: y**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3339499\/7 - 477071. Determine w so that 256\/7 + 96\/7*w - a*w**3 + 0*w**2 = 0.\nAnswer: -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:10 PM and 5:19 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:45 PM and 12:05 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.6 - -0.5. Let o = 12 - 11. Which is the closest to j?  (a) o  (b) -3\/2  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4084228*t**2 + 13494252*t?\nAnswer: 8168456","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3985 is divided by 1541.\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**3 - 22*h**2 + 21*h - 43. Let t be u(-23). Let r = -17\/35 + -23\/385. What is the second biggest value in 4, r, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2890.4*-0.1776.\nAnswer: -513.33504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -99*j**2 + 20*j + 2*j**3 + 99*j**2 + (-4*j + 10 - 10)*(j**2 - j**2 + 2*j**2) as y*j + i + r*j**3 + k*j**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 38*k**2 - 2*k + 1. Let z(c) = 39*c**2 - 2*c + 2. Let d(m) = 3*t(m) - 2*z(m). Is d(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Do -4549845 and -4549846 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 7 + 5 - (-1 + -12 - -108) - 2?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/(-13) - 25498\/(-1586). Solve -3*t - r = 4*u - 5, -4*t = -2*u - 22 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15\/(-3))\/(255\/(-357)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 398\/(-796)*3\/((-18)\/16)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**3 + 2*c**2 + 3*c + 3. Let o be (3 + 0)*(40\/8 + -4). Give h(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 + -3. Let n = -3 + 3. Let y = n - w. Which is the nearest to y?  (a) -1\/4  (b) 3  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1539 a factor of 47538426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*o - 8 = -31*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11.9 - 12. Let z = -13 - 7. Let l = -112.5 + 113. Sort g, l, z in increasing order.\nAnswer: z, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 3, -5, -301, -26855 in increasing order.\nAnswer: -26855, -301, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (6\/(-42))\/(20\/(-14)). Let j = 0.5 + -0.6. What is the nearest to j in 2\/3, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/((12\/120)\/(2\/(-8))). Which is the nearest to f?  (a) -5  (b) 4  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 63 and 357?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 248875 is divided by 35453.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -2345463 (base 7) to base 15\nAnswer: -5d139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*z + 7*z - 15 = 3*x, 0 = -3*x - 3*z - 24 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 124995 is divided by 129?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-6)\/42)\/(4\/8)*-884. Let v = k - 253. Sort -6, v, -2 in descending order.\nAnswer: v, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 17 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 378700 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lgihghggfibhggb. Give prob of sequence lhfi.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5203, 10405, 15607, 20809, 26011?\nAnswer: 31213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, e: 1, b: 3}. What is prob of picking 3 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((1 - 4) + 3)*-1. Suppose 0 = 2*s + 3*x - 45, 4*s - 2*x - 79 - 19 = c. What is the lowest common multiple of 40 and s?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4\/13  (b) -3  (c) -27\/5  (d) -5  (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes before 2:55 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 47\/(-7) + (-4)\/14. Let p = j - -21. Suppose -5*q + q = -20. What is the remainder when p is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -51\/25 and 45\/91?\nAnswer: 2275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 7, v: 4}. Give prob of sequence vcvc.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ph when two letters picked without replacement from offbpuhb?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the third derivative of -w**5\/60 - 7*w**4\/24 - 11*w**3\/6 - w**2 + 15*w. Let r be q(-3). Solve v + r = -4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/((-32)\/64 + 2\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**4*m**2*m*m**(-3\/5)*m*m*(m*m\/((m*m**(-10))\/m))\/m assuming m is positive.\nAnswer: m**(97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 4*p**2 - 44*p + 44*p. Let u(y) = -15*y. Give b(u(n)).\nAnswer: 900*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 0.7153259um?\nAnswer: 0.0007153259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 10021020201 (base 3) in base 4?\nAnswer: 33231031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -21, -15, 11, 69, 171, 329, 555, 861?\n\"Answer: 2*k**3 - 2*k**2 - 2*k - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 59997257?\nAnswer: 59997257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 416*i - 62*i - 67*i - 48*i - 175*i - 69*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*u = 35 + 91. Let c = u + -11. Suppose c*q + 3*j = 180, -4*q - 4*j + 6*j = -210. List the prime factors of q.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 2*a**2)*(8*a**2 - 4 + 4 + (5*a + a**2 - 5*a)*(2 - 2 + 2) - 2*a**2 - 4*a**2 + 5*a**2 - 3*a**2 + 2*a**2 - a**2).\nAnswer: 14*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 42*g - 465. Is l(64) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 389420 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (8\/(400\/(-15)))\/((-8)\/(-20)). What is the closest to -2\/7 in -24, c, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*c*o**3 + 2231396*c*o**2 - 9305658*c - o wrt o.\nAnswer: 6*c*o**2 + 4462792*c*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c + 165. Let h(f) = -f. Determine m(h(b)).\nAnswer: -b + 165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 600 = 5*h, 635 = -h + 6*h - 3*k. Suppose 4 + 30 = -o. Let c = 65 + o. What is the highest common divisor of c and h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(70) + -2*sqrt(70)*4 - (sqrt(70) + (-2*sqrt(70) - sqrt(70)))*-3))\/(-4*sqrt(400)\/(2*sqrt(10))).\nAnswer: -39*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b8e7 (base 16) to base 2.\nAnswer: -1011100011100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -2\/7, 2, 0.5, 1636 in decreasing order.\nAnswer: 1636, 2, 0.5, -2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*b**3 - 23628*b**2 - 759492*b - 4157300.\nAnswer: 4*(b - 5939)*(b + 7)*(b + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 108*m. Let z(k) = 756*k. Calculate -27*t(f) + 4*z(f).\nAnswer: 108*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2285225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/5)\/((-9)\/((-450)\/(-20)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = -9*m + 344. Calculate the lowest common multiple of m and 12.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 5*q. Let j(i) be the second derivative of -i**4\/24 - 3*i**2 - 8*i. Let o(m) be the first derivative of j(m). What is r(o(l))?\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-169)\/(-26) + -9)*828\/(-30). Which is smaller: 626\/9 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 71\/5 of a litre in millilitres?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 7*b**2 + 6*b. Let t be x(-8). Suppose -2*u = 2*w + 171 + 35, 0 = 4*w + u + t. Is (-58131)\/w + 2\/(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**2 + 16*w. Let z be (-64)\/96*24\/1. Calculate c(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/152322 and -145\/36.\nAnswer: 913932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4.01 - -0.01. Let m = 880 - 881. What is the smallest value in 0, m, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lttlltltttlpltlltltt. Give prob of sequence tlpt.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**2 + 22*h + 145. Let u be v(27). Solve 3*m = 18*l - 14*l - u, -m + l = 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -83 + 57 + 3*v**4 + 24 + (2 + 1 - 1)*(3 - 4*v**4 - 3) + 4*v**4 - 5*v**4 + 2*v**4 to the form q*v**4 + x*v**2 + u*v + l + z*v**3 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 1 + 8. Let d = 124\/35 + -29\/7. Let z = -4682\/15 + 312. Which is the second smallest value?  (a) z  (b) d  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 3534203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/1127  (b) 2  (c) 452  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 2*z - 6. Let p be j(3). Suppose 2*r + m + 3*m = 70, r - 3*m - 45 = p. Differentiate -x + 35 - r + 5*x**2 + x wrt x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/8 and 43\/8601?\nAnswer: 68808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k - 6. Let v be f(-6). Suppose 2*d - 9 = -2*z - 3, v = -z + 2*d. Let b(g) = 4*g. What is the units digit of b(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -720 divided by 6?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*v + 13*v + b, -3 - 28 = 5*v + 12*b for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -178744\nAnswer: 5\/178744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -585401\/6 + 97341. Which is smaller: n or -225?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the third derivative of -3\/40*a**6 + 0*a - 25*a**2 + 1\/24*a**4 + 1\/3*a**3 + 0 - 3\/10*a**5. Suppose q(j) = 0. Calculate j.\nAnswer: -2, -1\/3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - (-5 - -25) - -6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-280)\/(-172)*83592\/1944.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4806*z**3 - 20*z**2 + 94.\nAnswer: -28836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 + 202 = -27*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 984 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t + 936 = 30*z + 1084, -t + 4 = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 98 + -4. Calculate the remainder when d is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5205300?\nAnswer: 2, 3, 5, 17351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes after 10:50 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iiil when four letters picked without replacement from {i: 4, l: 14}?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = 3*i + 469, -4*i + 2*r + r = 592. Suppose 3*z - 518 = -2*j, -6*j - 3*z = -2*j - 1048. Let x = j + i. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 17\/12 in 0, -12, 2\/5, 136?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.01?  (a) -2\/9  (b) 0.14  (c) -195\/8  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 477275339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 6*h**3 - 15*h**2 - 15*h. Let z(q) = q**3 - q**2 - q. Calculate 6*o(j) - 90*z(j).\nAnswer: -54*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 + 1. Let j(w) = -w + 1. Let b be j(1). Suppose -12*l + 11*l + 4 = b. What is the least common multiple of f and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 9989, -1 in ascending order.\nAnswer: -6, -1, 9989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 542616 and 87632484.\nAnswer: 175264968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -26740 (base 10) in base 16?\nAnswer: -6874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - -1.08. Let m = 39.62 + -40. Let j = m + g. Sort -3, j, 2.\nAnswer: -3, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 530, 2114, 4748, 8426, 13142, 18890, 25664?\n\"Answer: -c**3 + 531*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 8*l**2 - 140*l - 2126. What is m(-16)?\nAnswer: 2162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*j**2 + 0*j**2 - j**2)*(2 + 1 - 1) - j + 2*j**2 + j to the form z*j**2 + l*j + n and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dddddddgddg. What is prob of sequence gd?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h - 13933*q = -13930*q - 29, h = 5*q - 56 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, s: 2, v: 9, h: 3, a: 2}. What is prob of sequence vha?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of -8.18 and 0.03078.\nAnswer: -0.2517804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the third derivative of -x**5\/20 + 2*x**2. Let f = 1730 - -1824. Let j(g) = -7*g**2 - 3554*g + f*g. Calculate j(a(d)).\nAnswer: -63*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1393 + -1391.931. Let a = k - 0.069. What is the third biggest value in 12, 3\/8, a?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/7214085 and -37\/7214085?\nAnswer: 7214085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 4*v + 2. Let l(f) = -5*f - 3 + 3 - 3. Let n(t) = 3*d(t) + 2*l(t). Let g(a) be the first derivative of 2*a**3 - 3. Calculate g(n(p)).\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 74878955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/(-90))\/((-6)\/(-15))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes after 8:45 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -13 + 10. Let j(b) = -b**3 - 2*b + b - 3 - b**2 + 5. Let x be j(h). Solve 2*o + z = -4*z + x, 2*o = 2*z + 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.07 - -10.818. Round m to one decimal place.\nAnswer: 9.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**3\/f**(-6))\/(f**(1\/13)\/(f*f**(-7\/6)*f)))**(-36))**(-3) assuming f is positive.\nAnswer: f**(13698\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 454*n - 471*n = -47175. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -18\/25 and -22\/7.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 3*j**3 + 15*j**2 + 27*j + 30. Let p(k) = -k**3 + k**2 - 1. Let w(o) = 2*p(o) + s(o). Give w(-15).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10*(-63)\/(-175)*(-910)\/42.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**3 - 6*m**2 + 7*m - 4. Suppose -4*y + 2*b = -28, -4*y - b = 5 - 21. Let z be k(y). Which is greater: z or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 6427, 6412, 6399, 6388, 6379?\n\"Answer: f**2 - 18*f + 6444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 34*y - 81*y + 188. Solve y*d = -o - o - 4, 5*o - 4*d = -10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 93 or 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vettuvtt. What is prob of sequence tttu?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9 + 15. Let x be -30*(1 - 51\/f). Suppose 0 = -63*v + 55*v + 200. What is the greatest common divisor of v and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the second derivative of 13*y**5\/10 + y**4\/12 - y**3\/6 + y**2\/2 - 5*y. Is v(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*q**4 + 4 - 4 - 5*q**2 + 5*q**2 + 2*q**4 + (-1 + 1 - 2*q**3)*(-3*q + 5*q + 0*q) + (-q**3 + 0*q**3 + 2*q**3)*(3*q - 6*q + q).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 16*g**4*z**2 + 360*g**3*z - 1218938*g*z**2 + 2*z**2 wrt g?\nAnswer: 192*g**2*z**2 + 2160*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -54 + 4\/16*-4. Let p be ((-737)\/c - 7)*30\/2. Calculate the highest common factor of p and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z - 5*s - 125, s + 779 = 4*z + 260. List the prime factors of z.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((1 - 7 + 4)*(11*q - 5*q + 2*q) + 5*q - 9*q - 8*q)*(1 - 7 + 4) to m*q + v and give m.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 455033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmezzemtelzlqtz. What is prob of sequence zl?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 20153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5 - 151166.\nAnswer: -151165.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 divided by 49?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -76725*o**5 + 57747*o**2?\nAnswer: -4603500*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/8)\/((-1445)\/680)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-879)\/586)\/((-6)\/32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-8)\/5)\/(6\/(-15)). Suppose -w + r = 1. Suppose 98 = w*g + 29. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -12*h**3 + 14*h**2 + 49*h - 17. What is the thousands digit of m(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -7*x**3 + 5*x**2 + 17*x + 15. Let u(t) = 3*t**3 - 3*t**2 - 8*t - 7. Let i(y) = -2*a(y) - 5*u(y). List the prime factors of i(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.17 - 0.08. Let f = -0.18 + y. Let o = 77 - 383\/5. Is f > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1623265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k + 287 = 575. Solve k = 19*z - 13*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -50211015 - -1?\nAnswer: -50211014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2748634517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7653 + -28304.\nAnswer: -35957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 4450097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7316 or 0.2439?\nAnswer: 0.2439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -3*f + 2*n, -2*f - 3*n = -5*f + 9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the first derivative of -130*k**3\/3 - 9*k**2\/2 + 511*k - 2058. What is the first derivative of u(w) wrt w?\nAnswer: -260*w - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110) - 4*(sqrt(110) - ((sqrt(110) - sqrt(110)*-2) + sqrt(110))))\/(sqrt(10)*-2*3).\nAnswer: -13*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 61214646.\nAnswer: 2, 3, 31, 329111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7160 - -12195. Is 265 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -182 + 224. Is 6\/y - 1665\/(-7) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8 - 8.3. Put 4, w, 2 in increasing order.\nAnswer: w, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 3*a - 595 - 543, -2*y - 1130 = -3*a. Let r = 379 - a. Solve 3*x - r*t - 14 = 0, -t + 3 - 1 = -3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n - 26 = 5*d, 3*d + 5*n - 3 = 11 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 5 = 3*d. Suppose 0 = 3*a + 4*q - 371, 5*a - 595 = d*q - 0*q. Let p be 158\/14 - (-2)\/(-7). What is the highest common divisor of p and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1\/(-2))\/(5\/(-6)). Let r(y) = y - 2. Let s be r(5). Suppose -j = -s*j. Which is the nearest to j?  (a) q  (b) -4  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -6*w**2 + 8*w - 4. Let l be k(1). Let h(f) = 10*f - 7. Let a(o) = -5*o + 4. Let q(s) = -11*a(s) - 6*h(s). Is 3 a factor of q(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 + 94 = 73*q - 132 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 3*z + 3176 = 1154, 2*f + 1346 = -4*z. Let l = -277 - f. List the prime factors of l.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the first derivative of -u**4\/2 - 2*u**3\/3 - u**2 - 2*u + 1311. Calculate k(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1525984 = -3*o - 18*o - 22*o. What are the prime factors of o?\nAnswer: 2, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16, 26, 36, 46, 56, 66?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -34*g + 243. Determine a(12).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -130 - -70. Let z = -20 - g. Suppose -6*h + z = -h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 4179481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, f: 1, o: 5, w: 1, a: 2}. Give prob of picking 1 a and 1 o.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-27)\/15 + 2 - 11\/5. Which is the third biggest value?  (a) u  (b) 3\/5  (c) -0.05  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-22)\/(-4))\/(3\/6)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 114.6 + -115. What is the nearest to -2\/7 in -0.03, -1\/4, -3\/2, h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*(g**0*g)\/g)**(-2\/61))**(-6) assuming g is positive.\nAnswer: g**(12\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -6*s + 3*s. Solve s*i + 6*w + 20 = 3*w, -4*i + 4*w = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0  (b) -0.1  (c) -0.27  (d) 37  (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 541 = y - 0*y, 0 = 2*b - y - 361. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 2342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**3 - 8*z**2 - 42*z + 591. Give b(10).\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*4*(-1 + sqrt(605) + -2 - sqrt(605)) + 6*(0 + sqrt(605))*-1 + -1)**2.\nAnswer: 3300*sqrt(5) + 22405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/47, -2\/45, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 15*a - 3. Let g be (-2 - (1 + -1))*-1. What is the tens digit of b(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g. Let k(a) = 497*a. What is d(k(i))?\nAnswer: -497*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.3  (b) 19\/2  (c) 3  (d) 135.7  (e) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 24894633 a multiple of 281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 415, 0, 14, -2 in increasing order.\nAnswer: -2, 0, 14, 415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -4814676 divided by 9\nAnswer: -534964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7719093 is divided by 13039.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 332\/249*(-3)\/4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1695 + 865 - 216*w + 897.\nAnswer: -216*w + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 6425 a factor of 667692884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1\/7052 - -28193\/105780. Let a(j) be the third derivative of -u*j**5 + 0*j - 43*j**2 + 0*j**4 - 1\/6*j**3 + 0. What is the derivative of a(z) wrt z?\nAnswer: -32*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 14319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 22*a**2 - 7*a + 7. Let i(p) = 11*p**2 + 11*p**2 + 2 - 15*p**2 - 2*p. Calculate 7*i(h) - 2*z(h).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/d**(1\/2)*d**(-2\/7)*d*d*d)\/(d\/d**(-8)*d**(-5\/6)))**42 assuming d is positive.\nAnswer: d**(-208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((6*7\/189)\/(16\/18))\/(119\/(-84))\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 2*t = 4, -3 = -x + 4*t - 1. Solve -3*n + x = 14 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*(-131)\/3144*(1 + 68\/(-32))?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*w**2\/4 + 6813*w\/4 + 1704.\nAnswer: -3*(w - 2272)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3158963*v**3 - 97295*v**2 + 1.\nAnswer: -18953778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6db2 (base 16) to base 6.\nAnswer: -334002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p - 3*y + 1, 4*p + 2*y - 2 = 20. Solve 0 = -g + 4*i + 25, 4*i + i = p*g - 45 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkh when three letters picked without replacement from nhkkkxkkkkkgngx?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**3 + 8*z**2 - 3*z - 10. What are the prime factors of n(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 - 1.9999947. What is j rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the second derivative of 4*z**4\/3 - z**3\/6 - 3*z**2 + 8439*z + 1. Let x(o) = -17*o**2 + 2*o + 7. Give -4*m(d) - 3*x(d).\nAnswer: -13*d**2 - 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in seven halves of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/(200\/(-195)))\/(4\/((-640)\/32)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47 = -4*j - 3. Suppose -j*w + 85 = -6*w. Calculate the remainder when 66 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/11 + (-464460)\/(-165). Suppose 0 = 4*c + t - q, -5*t + 1373 + 2127 = 5*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from oinnnoonnoinnnnn?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 2*u = 4*q, 3 = -u. Let k be (-1)\/(q - (-38)\/(-12)). Let m(x) = 3*x - 4. List the prime factors of m(k).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3271773126 to the nearest integer?\nAnswer: 57199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.033  (b) -6  (c) 4  (d) -1\/2  (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 62924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.5  (b) 14.84  (c) -6  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.033, -3, 6\/35, 5 in descending order.\nAnswer: 5, 6\/35, -0.033, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 522*i**3 - 4*i**2 + 67*i + 186339 wrt i.\nAnswer: 1566*i**2 - 8*i + 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1*(-1)\/2*58*(-58)\/(-6728). Which is the biggest value?  (a) 6  (b) 126  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 603155185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-28)\/3*(-540)\/105. Let f = g + 57. Suppose 102*j = f*j - 51. Calculate the remainder when 31 is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 92 + -85. Let f(g) = -2*g + 17. Let d be f(t). Suppose -382 = -d*h + 4*j, 5*h + 4*j = 3*j + 606. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -2*j**4\/9 - 24020*j**3\/3 + 1225760*j**2\/9 + 648860*j + 504658 = 0.\nAnswer: -36047, -3, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(1\/2)*x)\/(x\/(x\/(x\/(x\/x**(-2\/27))*x)*x))*x**5\/x*x**(1\/7)*x*x*x**(-2\/13)*x**(2\/13)*x**3*(x**(-6)\/x)\/x assuming x is positive.\nAnswer: x**(1027\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -2*f**2 + 6*f. Let p(y) = -2*y**2 + 7*y. Let g(o) = 7*k(o) - 6*p(o). Let h(x) = -12*x. What is g(h(i))?\nAnswer: -288*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 509543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15 - 265*o + 163*o + 13)*(-4*o**3 + 0*o**3 + 6*o**3).\nAnswer: -204*o**4 - 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 15, -6, -27, -48?\n\"Answer: -21*a + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(104)\/(-1*sqrt(8)))**2.\nAnswer: -8*sqrt(13) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -4 - 1 - (-71 + 88) - -6.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 5\/(20*3\/48) - 14\/(-2). What is the biggest value in s, 2\/9, -3, 1, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 1)*(2 - 5 - 1)*(-n - 4*n + 3*n)*(0*n + 2*n + 0*n).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 582192 by -145548.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 84.73707 micrograms in tonnes?\nAnswer: 0.00000000008473707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20 and 166175.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + z - 44066 - 51124 = 0, 2*z = -y + 47589. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 32\/5 of a meter?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7156 a factor of 755987727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -14860 and 27.9738211?\nAnswer: 14887.9738211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3.832 + 4.132. Which is the closest to -2\/5?  (a) y  (b) 0.2  (c) 1  (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*b = -2*k - b + 8*b + 59, 7 = 2*b - 3*b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -7*o - 3 + 4*o - 3*o + 4. What are the prime factors of x(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 5 + 13 = 0. Suppose 2*d = t*d - 48. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 79 - 77. Let d(f) = -4*f + 4. Let n(p) = -p + 6. Let l be n(6). Let v be d(l). Is y bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 28\/9 - 121\/36. Which is the second biggest value?  (a) 0.5  (b) 5  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (195\/(-35) - -3).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0.4, 16\/9, 3\/5, -5.8485, -3 in increasing order.\nAnswer: -5.8485, -3, 0.4, 3\/5, 16\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 31.98 - 32. Sort w, 0, 0.4 in decreasing order.\nAnswer: 0.4, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*n**3 - 7710*n**2 - 2979900*n - 5929000.\nAnswer: -5*(n + 2)*(n + 770)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 903 and 567833.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -315 = -42*s - 3*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3811 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13304152.\nAnswer: 2, 307, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(17) - (sqrt(51)\/sqrt(3) + -3) - sqrt(17)) + sqrt(17))**2 + sqrt(187)\/(2*sqrt(11)).\nAnswer: sqrt(17)\/2 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.018 in -2\/5, 69, 38?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 5*p**2 - 4*p**2 - 5*p**2 + 3*p**2. Let u(o) = 7*o + 3. Let z(f) = 12*f + 3. Let q(a) = -2*u(a) + 3*z(a). Give t(q(b)).\nAnswer: -484*b**2 - 132*b - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 2*y**3 + 126*y**2 + 105*y - 1281. Calculate p(-62).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -12649 + 12651. Solve 21 - 7 = -a*u + 4*g, -5*u + 2*g + 5 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8135927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -5815*t**3 + 19632 wrt t?\nAnswer: -17445*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the third derivative of o**6\/150 + o**5\/25 + o**4\/15 + 8*o**2. Factor l(n).\nAnswer: 4*n*(n + 1)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the first derivative of 10*d**3\/3 - 135. Suppose 2 = -2*p + a, 0 = -3*p + 2*a - 3 - 0. Determine z(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*w**3 + 601*w + 99 wrt w?\nAnswer: 6*w**2 + 601","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 30, -62, 5, -4, 0.3, -9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -3*i + 4. Let d = -18589 - -18638. Calculate the remainder when d is divided by v(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 34 = -2*u, 4*u + s + 189 = 203. Let r = -8 - -12. Which is the closest to 0.2?  (a) u  (b) -5\/2  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32 (base 10) in base 7?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1456 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 2*k**2 + 8*k. Let p(h) = -2*h**2 - 6*h. Let l(g) = -4*p(g) - 3*q(g). Let d(v) = -156*v**2. Give l(d(s)).\nAnswer: 48672*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 3 = 1. Let v = 12 + -3. Calculate the remainder when v is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 62072 = -8*m, 4*t - 19271 = 3*m + 4029. What is m rounded to the nearest 10?\nAnswer: -7760","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1a245 - -7?\nAnswer: -1a23e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from dlalddadd.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h + 4. Let l(v) = -v**2 - 2*v + 4. Let u be l(-4). Let y be d(u). Is -1 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5\/7, 0.2, 7, 2\/5, 0.08, -32?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 51\/212 and 65\/2908.\nAnswer: 154124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.05142 + 1.06. What is i rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12\/179 + 1875\/3938. What is the common denominator of 115\/14 and p?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 + 7. Let q(d) = -d**2 - 5*d - 3. Let x be q(-4). What is the greatest common factor of s and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 48 = 4*z. Calculate the remainder when 60\/9*z\/(-5) + 1 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**2\/4 - 89*n\/4 - 87\/2.\nAnswer: -(n + 2)*(n + 87)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-165)\/1925*28)\/((-33)\/(-880))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 3*r, 3*l + 2 = -r - 3. Let a = -1.261 - -0.861. What is the nearest to 1\/7 in a, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**3 + 16*c**2 - 46*c + 60. Determine j(9).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1048*d**6 - 5*d**5 + d**4 - 3*d**2 - d - 1223?\nAnswer: 125760*d**3 - 300*d**2 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.34052 and 0.1?\nAnswer: -0.034052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*c*f**2*n - 10*c*n + 3*c + 3*f**2 - 1518*f*n**3 + 5683*f + 2 with respect to n.\nAnswer: -5*c*f**2 - 10*c - 4554*f*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 86 and 4?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + -59 - (96 + -112).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (240\/360)\/((-2)\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*w + 276 = -3*w. Suppose -w = -2*l + 17. What is the remainder when l is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that 50*i**3 - 148816*i**2 + 196366*i - 47600 = 0.\nAnswer: 8\/25, 1, 2975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-2)\/8*2)\/(8\/(-32)). Differentiate -9*x**2 - 4 - 3 - 13*x**h + 9 with respect to x.\nAnswer: -44*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a + 14. Let b be x(-35). Let m = 26 + b. Solve 3*f = 5*u - 18, m + 3 = u - 5*f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15 - -19. Let l = d + -1. Solve 4*k - 4*n + 12 = 0, -3*n - n + 19 = l*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1036)\/20 + 4\/10. Let s = -51 - f. What is the third biggest value in -5\/3, s, 5?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(28)\/(sqrt(8)\/sqrt(2)) - sqrt(77)\/sqrt(11)*4)**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r**(-2))\/r**(4\/3))\/(r\/(r*r\/((r\/(r\/(r**0*r)))\/r*r)))**20 assuming r is positive.\nAnswer: r**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0\/(1 + 1 + -1). Let u = 162.4 + -162. Let o be (-12)\/(-117)*6\/4. Which is the closest to n?  (a) -3  (b) o  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/17928609 and -15\/11.\nAnswer: 197214699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -26552 + 26556. What is l in -8\/15*l**2 + 2\/15*l**b - 8\/15*l + 2\/15*l**3 + 0 = 0?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kunm when four letters picked without replacement from okuunuukm?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 403, 657, 1283, 2467, 4395, 7253?\n\"Answer: 31*f**3 + 37*f + 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 416.\nAnswer: 3\/416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 64431916 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 11672807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -242, -974, -2194, -3902, -6098, -8782, -11954?\nAnswer: -15614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7198 and 4479962.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -2*j + 2. What is the remainder when l(-11) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(5*sqrt(2352)*-3 + 1)*-4)**2.\nAnswer: -215040*sqrt(3) + 135475456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1450, -5789, -13016, -23131?\nAnswer: -36134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 9379*h + 4296*h + 4713*h)*(-3*h**3 + h**3 + h**3).\nAnswer: 370*h**4 - 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 + (-1 - 1) - (4 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 3300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -330 divided by -2.\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9627.\nAnswer: 3, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**3 - 9*m**2 + 12. Let k = 212 - 221. Determine g(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(162) - sqrt(162))*-3 + 1 + sqrt(162) + -1)**2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 24*(1\/(-4) + 1). Let t be 119\/9 - 4\/a. Let i(f) be the first derivative of 11*f**2\/2 + 4*f - 13. Let u(r) = -5*r - 2. What is t*u(x) + 6*i(x)?\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 593296 divided by 3371?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v - 2*f - 5258 + 5145 = 0, -4*v = 5*f + 278 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 19\/3 - 2\/6. Let v be 33\/22*(-16)\/(-6). Let m = -8 - -14. Solve -v*y + n = -m*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 7 + 0 - 3 - 2*n.\nAnswer: -2*n - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15)\/15 - (2 + -3)\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50650 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 12, p: 3}. Give prob of picking 2 p and 2 i.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 86*l + 85*l = 1307, 0 = 3*j - 3*l - 1299. Let c = 457 - j. Solve -y - 4*y = c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/176 and -67\/924.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.18 * -40.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 9710689771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7161 and 6?\nAnswer: 14322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -438 - -707. Let o = 272 - l. What is the third smallest value in 12, 1, -1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 - 7 - 12*n + 11*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 - -25. Let n = u - 72. Let o = n + 45.999946. What is o rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4542 is divided by 235?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.74 - 29.74. Let b = -28.9 - u. Which is bigger: 13\/4 or b?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*g - 9*g = -1356 - 22. Solve -3*t + g*y - 22*y = -2, -2*t = 5*y - 9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + (7 + -4 + -3 - 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4192450 a multiple of 382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 498719039 a multiple of 3731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - x + 12 = 0. Let g be 3*26\/108 - 26\/117. What is the biggest value in 1, g, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -155\/23646 and 19\/8820?\nAnswer: 4965660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 943, 3739, 8393, 14905, 23275, 33503?\nAnswer: 45589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 5 = -5*n, 0 = k - 3 + 2. Let f(r) = r**3 + 2*r**2 - 2*r. Let x be f(n). Solve 3*t = 7*t + 2*d + x, 3*d = t - 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 2*p. Let b(x) = -866023*x**2. Give b(a(r)).\nAnswer: -3464092*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 13, 133, 437, 1015, 1957, 3353?\n\"Answer: 15*x**3 + 2*x**2 + 9*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1301221 (base 6) to base 13\nAnswer: -25cb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21\/(-27)*26\/(-3549)*-13?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (p**2 - p**2 - p**2)*(1 - 3 + 4) + (-21362*p + 44965*p - 21308*p)*(4 - 3 + 0)*(0*p - 5*p + 4*p) as o + g*p + m*p**2 and give m.\nAnswer: -2297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 2*x**4 + 0*x**3 + 26881*x**2 - 7*x - 26884*x**2 + 0*x**3 in the form u*x**3 + i*x + v*x**4 + c + n*x**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*l + 119 = -169 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p + 18. Let n be i(-16). Suppose -4*f - n*l + 1206 = 0, 4*l - 2 = 2. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6522 is divided by 479.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 4 = k + 5*m, -m + 1 = -k. Calculate the common denominator of (-1 + 1)\/2 + (-148)\/56 and (63\/24)\/k + 1.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in 15\/7, -41, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 795013302 to the power of 1\/2, to the nearest integer?\nAnswer: 28196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -215243530 + -3?\nAnswer: -215243533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oooooovvoolvvoovv. Give prob of sequence vl.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -162 - -165. Solve -4*n + 13 = -5*j, q*j - n = 4*n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 650\/924 + 1416\/(-1947)?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -27 + 1 + -2 + 1. Let r = -24 - x. What is the second derivative of 3*h**3 + 8*h**5 + 3*h - h - r*h**3 wrt h?\nAnswer: 160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 29.96515t?\nAnswer: 29965.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (34 - 1) + -163 + -19 + 12\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 368960629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 137*m**3 + 524*m**3 + 250*m + 92*m wrt m.\nAnswer: 3966*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -1  (b) -2\/13  (c) -7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1565 is divided by 964?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 52877, 52791, 52705?\n\"Answer: -86*x + 52963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 15 = 6*n - 2*n, -4*q - 3*n + 5 = 0. Let c(r) be the third derivative of r**5\/20 - 4*r**3\/3 + r**2. Let a(p) = 2*p**2 - 5. What is q*c(h) - 8*a(h)?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/2, 15.419799, 3\/8 in decreasing order.\nAnswer: 15.419799, 3\/2, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 552 divided by -2\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -26034*c. Let m(l) = -2198*l. Give m(q(t)).\nAnswer: 57222732*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wqlwhlhaaqwllawhhql. What is prob of picking 3 q and 1 a?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 - -1) + -8 + 7 + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 2*d**3 - 5*d**2 + 10*d - 1. Let z be k(3). Let m = z + -29. Let w = 50 - m. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2  (b) 19  (c) 2  (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n**3 - 3*n**2 + 3*n - 24. Let i be v(4). Solve 0*d = -2*d - i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 58*j + 1278. Let h be c(-22). Solve -17*y - h = -2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 245.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.02*-31774.\nAnswer: -635.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -564.999999284 + 565. What is c rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -394, -0.08, 10\/9 in decreasing order.\nAnswer: 10\/9, -0.08, -394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/20)\/((-11)\/22)*(79 - 76)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -181 + 180.777. Round d to two decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 25 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 7*j**3 - 80*j - 16. Is d(15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 - -6. Calculate the common denominator of -47\/6 and (g\/(-5))\/(42\/(-30)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 16*l - 68. Suppose 0*d + 4*d - 181 = 5*w, l*w + 98 = 2*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -4*d - 1. Let r(l) = 8*l + 2. Let n(j) = 9*k(j) + 4*r(j). Let h(f) = f**3 - f**2 + f + 2. Let i be h(0). Give n(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -326050398*0.4\nAnswer: -130420159.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 8 + 2 + (-600)\/72\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 7*q**3 - 18796*q**2 + 2*q - 6. What is x(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r = 2*g - 4, 13091*g - 13092*g + r + 3 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.5 - 0.5. Let f = -0.03 - -3.03. Let n = 1 - f. Which is the biggest value?  (a) n  (b) d  (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 + -4735051?\nAnswer: -4735046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Is 373761737 equal to 373761739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 7752, -1, 0 in decreasing order.\nAnswer: 7752, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -3*g. Let v(k) = -2*k. Let p(l) = -4*h(l) + 5*v(l). Let j(m) = m**2. Give p(j(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -12\/5  (b) -926  (c) 7  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + (3 - (-13 + 1 + (10 - (6 + 43)))).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkjksjkskkkkjkkkssok. Give prob of picking 2 k.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - 3) + 3 + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 72 - 71. Sort 12, x, 2 in descending order.\nAnswer: 12, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from {d: 2, c: 4, n: 9, j: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 6*l - l = 3, 0 = l. Let x = -8 - -10. Which is the smallest value?  (a) -2\/17  (b) x  (c) q  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-21))**(1\/8) assuming x is positive.\nAnswer: x**(-21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 621 + -182. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -565, -2816, -7615, -15814, -28265, -45820?\nAnswer: -69331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1958)\/(-4) + (27\/(-6) - -3). Suppose 207 = -r + s. List the prime factors of r.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 120 (base 7) to base 8\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 - (-4 - -4))*7*-1. Let y(c) = -6*c - 45. Let i be y(j). Let k(a) = 5*a - 6. Let g(z) = -2*z + 2. What is i*k(o) - 8*g(o)?\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -7*y - 31. Let l be s(-5). Suppose 5 - 1 = l*f, -i + 23 = 5*f. Calculate the lowest common multiple of 14 and i.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 836 + -831. What is the closest to -5 in z, 0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1802\/7 - 258. Which is the third smallest value?  (a) -0.2  (b) w  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**2 + 5*t - 3. Suppose 0 = i - 5*d - 0*d - 27, 3*i - 4*d - 26 = 0. Let s be (8\/i*-2)\/1. What is the tens digit of b(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9063, 57, 4 in decreasing order.\nAnswer: 57, 4, -9063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.1 and -82764953439.\nAnswer: -82764953439.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m + 17. Let b(h) = h**3 - 12*h**2 - 13*h - 11. Let k be b(13). What is the lowest common multiple of 16 and t(k)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 4*p - 6 = 0. Suppose j - 5 + 3 = 0. Let c(m) = -2*m + 1 - j*m + 3*m. Calculate c(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-3)\/(-1))\/(-2 - 2 - -5). Solve -y*j - 8 = 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 21.2391 - 2.8639. Let k = -18.3 + o. What is k rounded to 3 decimal places?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vnvfvvmbvmmbvvftb. What is prob of sequence bn?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 128 and 1328.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -h**2 + 143061*h + 392802 wrt h.\nAnswer: -2*h + 143061","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-10)\/4*32\/(-80). Suppose 2*b - 153 = -n + 118, -4*b = 3*n - 543. Let t be (-2)\/7 - b\/(-399). Is c bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 3*i**3 + 8*i**2 - 10*i + 1. Suppose 0 = -5*m + 15. Suppose 3*h + 2 = 5*g, 5*g - 28 = -m*h + 10. Is x(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**3 + 4*d**2 - 7*d + 1. Let w be i(-5). Let u = 0 - 5. Let a = u - -3. Put a, w, -1 in decreasing order.\nAnswer: w, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the second derivative of -l**5\/5 - 53*l**4\/3 + 112*l**3\/3 + 216*l**2 - 5947*l. Factor r(d).\nAnswer: -4*(d - 2)*(d + 1)*(d + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 319752.\nAnswer: 2, 3, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (2\/30)\/(-1*(-3)\/(-9))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + 29 + -34 + -1 + 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -2*j**3 + 12*j**2 - 8*j - 3. Let z be o(6). List the prime factors of (z\/(-51))\/((-1)\/(-789)).\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3074, 3255, 3556, 3977?\nAnswer: 4518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22050 divided by -2205.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.32 in 43, -4, 1, -2\/3, 0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2000768 by 154.\nAnswer: -12992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 240715000 rounded to the nearest one million?\nAnswer: 241000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 34*b**2 + 169*b + 1. Let k(d) = -52*d**2 - 169*d - 2. Give 2*k(h) + 3*p(h).\nAnswer: -2*h**2 + 169*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 6*w. Let k be j(6). Suppose d = -50*p + 51*p - 12, 0 = -p - 2*d + 3. Calculate the highest common divisor of k and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 123303695 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vsvv when four letters picked without replacement from {s: 5, v: 9}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 9 = -46. Let i = -10 - d. Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4*(136417\/2)\/((-6 - 28)\/(-17)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 2*y - 12. Let a be m(8). Find r such that 4*r**4 - 11*r**5 + 5*r + 9*r**5 - 3*r - a*r**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 126723654 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 3519, 6821, 10113, 13395, 16667, 19929, 23181?\n\"Answer: -5*v**2 + 3317*v + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 700 and 9950.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 119025*z**3 - 186*z**2 + 195*z?\nAnswer: 714150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 24622770, -9 in ascending order.\nAnswer: -9, 2, 24622770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2041 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**3 + g + 1. Let b(q) = q + 1. Determine 5*b(o) - 3*f(o).\nAnswer: -3*o**3 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2 + (2 - -3) - (4 - 1). Suppose 4\/5*b**2 - 2\/5*b**4 + k + 0*b + 2\/5*b**3 = 0. What is b?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 135275369 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the second derivative of u**7\/315 + u**6\/225 - u**5\/25 + u**4\/45 + u**3\/9 - u**2\/5 - 24*u. Determine f, given that v(f) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -108000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) -8\/9  (c) -14  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q + 7*p = 5*p + 14, -22 = -4*q - 2*p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the first derivative of -s**4\/20 - 4*s**3\/5 - 24*s**2\/5 + 13*s + 27. Let q(z) be the first derivative of y(z). Find w such that q(w) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**2 + 4*q + 13. Let c be d(6). Let u(l) = 58*l**2 + l. Is u(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1\/(-1))\/((-1)\/3). What is the common denominator of (146\/(-8) + k)*2 and (-7)\/22 - 5\/5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 + (1 - 1) + 13 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((4557\/(-28))\/(-31))\/30 - (-6)\/(-20). Which is the fourth biggest value?  (a) -4  (b) 0.1  (c) h  (d) 24\/127\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 3 = -2*o, -4*o = 5*c - 6. Suppose c*f = 5 + 5. Solve 0*k = 2*k - i + 12, k + 5*i = f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**2 - 3*b + 1. Let w be y(6). Calculate the highest common factor of 152 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*b + i + 6*i - 1, -5*b - 35 = 5*i for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -677496*t**4 + 10543*t**2 - 20*t?\nAnswer: -16259904*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 - 1.9993. What is j rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 3 = 0, 71 = -5*r - 6*p + 4*p. Let n = 18 + r. Suppose m + 4*f - 19 = 2*f, n*m - 5*f = 125. What is the greatest common factor of m and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 165671 to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minutes before 6:43 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-144)*-12*0\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -48384*y**3 - 1941056*y**2\/3 + 492068*y\/3 - 30896\/3 = 0. Calculate y.\nAnswer: -7724\/567, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(117)*5 - sqrt(13)) + -2*(sqrt(637))**2)*6.\nAnswer: -7644 + 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 1502*k**2 - 142*k - 77. Let n(q) = 501*q**2 - 47*q - 28. Let t(s) = 8*l(s) - 22*n(s). What is the second derivative of t(f) wrt f?\nAnswer: 1988","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*s - 13*s + 43*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 3*j**2 - 3*j + j**3 + 2*j**2 - 2*j**2 + 4*j as d*j**2 + r*j + z*j**3 + f and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9 + -8.999904. What is k rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {p: 1, y: 4, h: 5, s: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 78 and 3077268?\nAnswer: 40004484","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = -5*r - 7, -6*j + 17 = -j + 2*r. Suppose -3*l - 12 = g, -5*l + j*l + 2 = 4*g. Solve -5*i + 0*s = 5*s, -5 = 2*i - g*s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cnjftqnc. Give prob of picking 1 t, 2 n, and 1 j.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 4, 0*n - n + 4*u = 37. Let t be n\/(-5) - 6\/(-30). Solve -4*b + t = -10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, q: 4, b: 2, o: 9, g: 3}. What is prob of sequence oq?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9926.488 centuries to months.\nAnswer: 11911785.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 15 - 11. Let n = -1 - s. Let d = -11.2 - -11. Which is the second smallest value?  (a) d  (b) n  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16233 = 2*p - 5*c, 4*p + 16303 + 16223 = -2*c. Let r = p - -24173\/3. Let f = -707\/9 - r. What is the common denominator of f and -25\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3.9 + 1.9. What is the closest to -1 in -3\/4, a, 0.5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 122959783519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 65 a factor of 780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -120 + 65. Let u = v + 59. Sort 0.4, -6, u.\nAnswer: -6, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2160.6 + 2141. Which is smaller: 0.1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes before 8:05 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61413*m = -61382*m + 651 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1929407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 175 divide 95213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1617337529?\nAnswer: 23, 70319023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a - 7. Let i(o) = 2*o**2 + o + 4. Let h be i(-2). Let z = h + -15. Calculate the common denominator of n(z) and 26\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 - -6. Suppose 4*i = -z + i + 12, 3*z - c*i + 6 = 0. Solve 0 = -3*k + 3*v + 9, -z*k + 3*v = 7*v - 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12405, -12422, -12449, -12486, -12533, -12590, -12657?\nAnswer: -12734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 15 = r, 18*m = 21*m + 5*r - 53. Solve -12 = y + 4*o + m, y = -2*o - 13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (241 + -233 - (1 - (1 - 7))) + 11 + -37?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**3 + 5*h**2 + 6*h - 1. Suppose 0*l + 7*l = 42. Let a be x(l). Is (0 - a) + -4 + 37 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 12 + 13. Let k(l) = 12 + 13*l + 4 + 11*l - f*l. Calculate k(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -987465 = 6*s - 987321 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 102137843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -11.7, 2\/49, 0, -1, 1027?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/5, -2\/109, 79 in increasing order.\nAnswer: -1\/5, -2\/109, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}